id	sid	tid	token	lemma	pos
ejpam-4416	1	1	european	european	PROPN
ejpam-4416	1	2	journal	journal	PROPN
ejpam-4416	1	3	of	of	ADP
ejpam-4416	1	4	pure	pure	ADJ
ejpam-4416	1	5	and	and	CCONJ
ejpam-4416	1	6	applied	apply	VERB
ejpam-4416	1	7	mathematics	mathematic	NOUN
ejpam-4416	1	8	vol	vol	NOUN
ejpam-4416	1	9	.	.	PROPN
ejpam-4416	2	1	15	15	NUM
ejpam-4416	2	2	,	,	PUNCT
ejpam-4416	2	3	no	no	INTJ
ejpam-4416	2	4	.	.	NOUN
ejpam-4416	2	5	3	3	NUM
ejpam-4416	2	6	,	,	PUNCT
ejpam-4416	2	7	2022	2022	NUM
ejpam-4416	2	8	,	,	PUNCT
ejpam-4416	2	9	1098	1098	NUM
ejpam-4416	2	10	-	-	SYM
ejpam-4416	2	11	1112	1112	NUM
ejpam-4416	2	12	issn	issn	PROPN
ejpam-4416	2	13	1307	1307	NUM
ejpam-4416	2	14	-	-	SYM
ejpam-4416	2	15	5543	5543	NUM
ejpam-4416	2	16	–	–	PUNCT
ejpam-4416	2	17	ejpam.com	ejpam.com	X
ejpam-4416	2	18	published	publish	VERB
ejpam-4416	2	19	by	by	ADP
ejpam-4416	2	20	new	new	PROPN
ejpam-4416	2	21	york	york	PROPN
ejpam-4416	2	22	business	business	PROPN
ejpam-4416	2	23	global	global	PROPN
ejpam-4416	2	24	on	on	ADP
ejpam-4416	2	25	some	some	DET
ejpam-4416	2	26	parameters	parameter	NOUN
ejpam-4416	2	27	of	of	ADP
ejpam-4416	2	28	the	the	DET
ejpam-4416	2	29	central	central	ADJ
ejpam-4416	2	30	graphs	graph	NOUN
ejpam-4416	2	31	of	of	ADP
ejpam-4416	2	32	the	the	DET
ejpam-4416	2	33	identity	identity	NOUN
ejpam-4416	2	34	graphs	graph	NOUN
ejpam-4416	2	35	of	of	ADP
ejpam-4416	2	36	finite	finite	ADJ
ejpam-4416	2	37	cyclic	cyclic	ADJ
ejpam-4416	2	38	groups	group	NOUN
ejpam-4416	2	39	clarence	clarence	PROPN
ejpam-4416	2	40	t.	t.	PROPN
ejpam-4416	2	41	alib1,∗	alib1,∗	PROPN
ejpam-4416	2	42	,	,	PUNCT
ejpam-4416	3	1	daryl	daryl	PROPN
ejpam-4416	3	2	m.	m.	PROPN
ejpam-4416	3	3	magpantay2	magpantay2	PROPN
ejpam-4416	3	4	1	1	NUM
ejpam-4416	3	5	college	college	NOUN
ejpam-4416	3	6	of	of	ADP
ejpam-4416	3	7	arts	art	NOUN
ejpam-4416	3	8	and	and	CCONJ
ejpam-4416	3	9	sciences	science	NOUN
ejpam-4416	3	10	,	,	PUNCT
ejpam-4416	3	11	camarines	camarines	PROPN
ejpam-4416	3	12	sur	sur	PROPN
ejpam-4416	3	13	polytechnic	polytechnic	ADJ
ejpam-4416	3	14	colleges	college	NOUN
ejpam-4416	3	15	,	,	PUNCT
ejpam-4416	3	16	nabua	nabua	PROPN
ejpam-4416	3	17	,	,	PUNCT
ejpam-4416	3	18	camarines	camarines	PROPN
ejpam-4416	3	19	sur	sur	PROPN
ejpam-4416	3	20	,	,	PUNCT
ejpam-4416	3	21	philippines	philippines	PROPN
ejpam-4416	3	22	2	2	NUM
ejpam-4416	3	23	college	college	NOUN
ejpam-4416	3	24	of	of	ADP
ejpam-4416	3	25	arts	art	NOUN
ejpam-4416	3	26	and	and	CCONJ
ejpam-4416	3	27	sciences	sciences	PROPN
ejpam-4416	3	28	,	,	PUNCT
ejpam-4416	3	29	batangas	batangas	PROPN
ejpam-4416	3	30	state	state	PROPN
ejpam-4416	3	31	university	university	PROPN
ejpam-4416	3	32	,	,	PUNCT
ejpam-4416	3	33	batangas	batangas	PROPN
ejpam-4416	3	34	city	city	PROPN
ejpam-4416	3	35	,	,	PUNCT
ejpam-4416	3	36	philippines	philippine	NOUN
ejpam-4416	3	37	abstract	abstract	ADJ
ejpam-4416	3	38	.	.	PUNCT
ejpam-4416	4	1	the	the	DET
ejpam-4416	4	2	interplay	interplay	NOUN
ejpam-4416	4	3	of	of	ADP
ejpam-4416	4	4	groups	group	NOUN
ejpam-4416	4	5	and	and	CCONJ
ejpam-4416	4	6	graphs	graph	NOUN
ejpam-4416	4	7	has	have	AUX
ejpam-4416	4	8	been	be	AUX
ejpam-4416	4	9	a	a	DET
ejpam-4416	4	10	subject	subject	NOUN
ejpam-4416	4	11	of	of	ADP
ejpam-4416	4	12	interest	interest	NOUN
ejpam-4416	4	13	by	by	ADP
ejpam-4416	4	14	mathematics	mathematic	NOUN
ejpam-4416	4	15	researchers	researcher	NOUN
ejpam-4416	4	16	nowadays	nowadays	ADV
ejpam-4416	4	17	.	.	PUNCT
ejpam-4416	5	1	one	one	NUM
ejpam-4416	5	2	particular	particular	ADJ
ejpam-4416	5	3	instance	instance	NOUN
ejpam-4416	5	4	is	be	AUX
ejpam-4416	5	5	the	the	DET
ejpam-4416	5	6	identity	identity	NOUN
ejpam-4416	5	7	graph	graph	NOUN
ejpam-4416	5	8	of	of	ADP
ejpam-4416	5	9	a	a	DET
ejpam-4416	5	10	group	group	NOUN
ejpam-4416	5	11	introduced	introduce	VERB
ejpam-4416	5	12	by	by	ADP
ejpam-4416	5	13	kandasamy	kandasamy	NOUN
ejpam-4416	5	14	[	[	X
ejpam-4416	5	15	6	6	NUM
ejpam-4416	5	16	]	]	PUNCT
ejpam-4416	5	17	.	.	PUNCT
ejpam-4416	6	1	moreover	moreover	ADV
ejpam-4416	6	2	,	,	PUNCT
ejpam-4416	6	3	the	the	DET
ejpam-4416	6	4	concept	concept	NOUN
ejpam-4416	6	5	of	of	ADP
ejpam-4416	6	6	a	a	DET
ejpam-4416	6	7	central	central	ADJ
ejpam-4416	6	8	graph	graph	NOUN
ejpam-4416	6	9	of	of	ADP
ejpam-4416	6	10	any	any	DET
ejpam-4416	6	11	graph	graph	NOUN
ejpam-4416	6	12	is	be	AUX
ejpam-4416	6	13	widely	widely	ADV
ejpam-4416	6	14	used	use	VERB
ejpam-4416	6	15	by	by	ADP
ejpam-4416	6	16	many	many	ADJ
ejpam-4416	6	17	graph	graph	NOUN
ejpam-4416	6	18	theorist	theorist	NOUN
ejpam-4416	6	19	.	.	PUNCT
ejpam-4416	7	1	the	the	DET
ejpam-4416	7	2	central	central	ADJ
ejpam-4416	7	3	graph	graph	NOUN
ejpam-4416	7	4	of	of	ADP
ejpam-4416	7	5	a	a	DET
ejpam-4416	7	6	graph	graph	NOUN
ejpam-4416	7	7	g	g	NOUN
ejpam-4416	7	8	denoted	denote	VERB
ejpam-4416	7	9	by	by	ADP
ejpam-4416	7	10	c(g	c(g	PROPN
ejpam-4416	7	11	)	)	PUNCT
ejpam-4416	7	12	can	can	AUX
ejpam-4416	7	13	be	be	AUX
ejpam-4416	7	14	obtained	obtain	VERB
ejpam-4416	7	15	by	by	ADP
ejpam-4416	7	16	subdividing	subdivide	VERB
ejpam-4416	7	17	the	the	DET
ejpam-4416	7	18	edge	edge	NOUN
ejpam-4416	7	19	of	of	ADP
ejpam-4416	7	20	g	g	NOUN
ejpam-4416	7	21	exactly	exactly	ADV
ejpam-4416	7	22	once	once	ADV
ejpam-4416	7	23	and	and	CCONJ
ejpam-4416	7	24	joining	join	VERB
ejpam-4416	7	25	all	all	DET
ejpam-4416	7	26	the	the	DET
ejpam-4416	7	27	nonadjacent	nonadjacent	ADJ
ejpam-4416	7	28	vertices	vertex	NOUN
ejpam-4416	7	29	of	of	ADP
ejpam-4416	7	30	g	g	NOUN
ejpam-4416	7	31	in	in	ADP
ejpam-4416	7	32	c(g	c(g	PROPN
ejpam-4416	7	33	)	)	PUNCT
ejpam-4416	7	34	.	.	PUNCT
ejpam-4416	8	1	in	in	ADP
ejpam-4416	8	2	this	this	DET
ejpam-4416	8	3	paper	paper	NOUN
ejpam-4416	8	4	,	,	PUNCT
ejpam-4416	8	5	we	we	PRON
ejpam-4416	8	6	construct	construct	VERB
ejpam-4416	8	7	the	the	DET
ejpam-4416	8	8	central	central	ADJ
ejpam-4416	8	9	graph	graph	NOUN
ejpam-4416	8	10	of	of	ADP
ejpam-4416	8	11	the	the	DET
ejpam-4416	8	12	identity	identity	NOUN
ejpam-4416	8	13	graph	graph	NOUN
ejpam-4416	8	14	of	of	ADP
ejpam-4416	8	15	finite	finite	ADJ
ejpam-4416	8	16	cyclic	cyclic	PROPN
ejpam-4416	8	17	group	group	NOUN
ejpam-4416	8	18	and	and	CCONJ
ejpam-4416	8	19	investigate	investigate	VERB
ejpam-4416	8	20	some	some	PRON
ejpam-4416	8	21	of	of	ADP
ejpam-4416	8	22	its	its	PRON
ejpam-4416	8	23	graph	graph	NOUN
ejpam-4416	8	24	properties	property	NOUN
ejpam-4416	8	25	.	.	PUNCT
ejpam-4416	9	1	2020	2020	NUM
ejpam-4416	9	2	mathematics	mathematic	NOUN
ejpam-4416	9	3	subject	subject	NOUN
ejpam-4416	9	4	classifications	classification	NOUN
ejpam-4416	9	5	:	:	PUNCT
ejpam-4416	9	6	05c07	05c07	NOUN
ejpam-4416	9	7	,	,	PUNCT
ejpam-4416	9	8	05c12	05c12	NOUN
ejpam-4416	9	9	,	,	PUNCT
ejpam-4416	9	10	05c25	05c25	X
ejpam-4416	9	11	key	key	ADJ
ejpam-4416	9	12	words	word	NOUN
ejpam-4416	9	13	and	and	CCONJ
ejpam-4416	9	14	phrases	phrase	NOUN
ejpam-4416	9	15	:	:	PUNCT
ejpam-4416	9	16	cyclic	cyclic	ADJ
ejpam-4416	9	17	group	group	NOUN
ejpam-4416	9	18	,	,	PUNCT
ejpam-4416	9	19	identity	identity	NOUN
ejpam-4416	9	20	graph	graph	NOUN
ejpam-4416	9	21	of	of	ADP
ejpam-4416	9	22	a	a	DET
ejpam-4416	9	23	group	group	NOUN
ejpam-4416	9	24	,	,	PUNCT
ejpam-4416	9	25	handshaking	handshake	VERB
ejpam-4416	9	26	lemma	lemma	PROPN
ejpam-4416	9	27	,	,	PUNCT
ejpam-4416	9	28	central	central	ADJ
ejpam-4416	9	29	graph	graph	NOUN
ejpam-4416	9	30	of	of	ADP
ejpam-4416	9	31	a	a	DET
ejpam-4416	9	32	graph	graph	NOUN
ejpam-4416	9	33	,	,	PUNCT
ejpam-4416	9	34	distance	distance	NOUN
ejpam-4416	9	35	,	,	PUNCT
ejpam-4416	9	36	eccentricities	eccentricity	NOUN
ejpam-4416	9	37	,	,	PUNCT
ejpam-4416	9	38	radius	radius	NOUN
ejpam-4416	9	39	,	,	PUNCT
ejpam-4416	9	40	diameter	diameter	NOUN
ejpam-4416	9	41	,	,	PUNCT
ejpam-4416	9	42	center	center	NOUN
ejpam-4416	9	43	of	of	ADP
ejpam-4416	9	44	a	a	DET
ejpam-4416	9	45	graph	graph	NOUN
ejpam-4416	9	46	,	,	PUNCT
ejpam-4416	9	47	periphery	periphery	NOUN
ejpam-4416	9	48	of	of	ADP
ejpam-4416	9	49	a	a	DET
ejpam-4416	9	50	graph	graph	NOUN
ejpam-4416	9	51	,	,	PUNCT
ejpam-4416	9	52	girth	girth	NOUN
ejpam-4416	9	53	1	1	NUM
ejpam-4416	9	54	.	.	PUNCT
ejpam-4416	10	1	introduction	introduction	NOUN
ejpam-4416	10	2	the	the	DET
ejpam-4416	10	3	interconnection	interconnection	NOUN
ejpam-4416	10	4	between	between	ADP
ejpam-4416	10	5	different	different	ADJ
ejpam-4416	10	6	fields	field	NOUN
ejpam-4416	10	7	of	of	ADP
ejpam-4416	10	8	mathematics	mathematic	NOUN
ejpam-4416	10	9	has	have	AUX
ejpam-4416	10	10	been	be	AUX
ejpam-4416	10	11	a	a	DET
ejpam-4416	10	12	subject	subject	NOUN
ejpam-4416	10	13	of	of	ADP
ejpam-4416	10	14	interest	interest	NOUN
ejpam-4416	10	15	by	by	ADP
ejpam-4416	10	16	mathematics	mathematic	NOUN
ejpam-4416	10	17	researchers	researcher	NOUN
ejpam-4416	10	18	nowadays	nowadays	ADV
ejpam-4416	10	19	.	.	PUNCT
ejpam-4416	11	1	one	one	NUM
ejpam-4416	11	2	particular	particular	ADJ
ejpam-4416	11	3	instance	instance	NOUN
ejpam-4416	11	4	is	be	AUX
ejpam-4416	11	5	the	the	DET
ejpam-4416	11	6	interplay	interplay	NOUN
ejpam-4416	11	7	of	of	ADP
ejpam-4416	11	8	groups	group	NOUN
ejpam-4416	11	9	and	and	CCONJ
ejpam-4416	11	10	graphs	graph	NOUN
ejpam-4416	11	11	where	where	SCONJ
ejpam-4416	11	12	the	the	DET
ejpam-4416	11	13	existence	existence	NOUN
ejpam-4416	11	14	of	of	ADP
ejpam-4416	11	15	the	the	DET
ejpam-4416	11	16	researches	research	NOUN
ejpam-4416	11	17	contribute	contribute	VERB
ejpam-4416	11	18	to	to	ADP
ejpam-4416	11	19	the	the	DET
ejpam-4416	11	20	productive	productive	ADJ
ejpam-4416	11	21	area	area	NOUN
ejpam-4416	11	22	of	of	ADP
ejpam-4416	11	23	mathematics	mathematic	NOUN
ejpam-4416	11	24	.	.	PUNCT
ejpam-4416	12	1	the	the	DET
ejpam-4416	12	2	collaboration	collaboration	NOUN
ejpam-4416	12	3	of	of	ADP
ejpam-4416	12	4	the	the	DET
ejpam-4416	12	5	two	two	NUM
ejpam-4416	12	6	areas	area	NOUN
ejpam-4416	12	7	of	of	ADP
ejpam-4416	12	8	mathematics	mathematic	NOUN
ejpam-4416	12	9	mentioned	mention	VERB
ejpam-4416	12	10	gain	gain	VERB
ejpam-4416	12	11	attention	attention	NOUN
ejpam-4416	12	12	to	to	ADP
ejpam-4416	12	13	the	the	DET
ejpam-4416	12	14	mathematical	mathematical	ADJ
ejpam-4416	12	15	community	community	NOUN
ejpam-4416	12	16	because	because	SCONJ
ejpam-4416	12	17	of	of	ADP
ejpam-4416	12	18	its	its	PRON
ejpam-4416	12	19	elegant	elegant	ADJ
ejpam-4416	12	20	results	result	NOUN
ejpam-4416	12	21	.	.	PUNCT
ejpam-4416	13	1	some	some	PRON
ejpam-4416	13	2	of	of	ADP
ejpam-4416	13	3	which	which	PRON
ejpam-4416	13	4	are	be	AUX
ejpam-4416	13	5	order	order	NOUN
ejpam-4416	13	6	divisor	divisor	NOUN
ejpam-4416	13	7	graphs	graph	NOUN
ejpam-4416	13	8	of	of	ADP
ejpam-4416	13	9	finite	finite	ADJ
ejpam-4416	13	10	groups	group	NOUN
ejpam-4416	13	11	[	[	X
ejpam-4416	13	12	8	8	NUM
ejpam-4416	13	13	]	]	PUNCT
ejpam-4416	13	14	,	,	PUNCT
ejpam-4416	13	15	graphs	graph	NOUN
ejpam-4416	13	16	and	and	CCONJ
ejpam-4416	13	17	classes	class	NOUN
ejpam-4416	13	18	of	of	ADP
ejpam-4416	13	19	finite	finite	ADJ
ejpam-4416	13	20	groups	group	NOUN
ejpam-4416	13	21	[	[	X
ejpam-4416	13	22	1	1	NUM
ejpam-4416	13	23	]	]	PUNCT
ejpam-4416	13	24	,	,	PUNCT
ejpam-4416	13	25	the	the	DET
ejpam-4416	13	26	power	power	NOUN
ejpam-4416	13	27	graph	graph	NOUN
ejpam-4416	13	28	of	of	ADP
ejpam-4416	13	29	a	a	DET
ejpam-4416	13	30	finite	finite	ADJ
ejpam-4416	13	31	group	group	NOUN
ejpam-4416	13	32	[	[	X
ejpam-4416	13	33	2	2	NUM
ejpam-4416	13	34	]	]	PUNCT
ejpam-4416	13	35	,	,	PUNCT
ejpam-4416	13	36	commuting	commute	VERB
ejpam-4416	13	37	graphs	graph	NOUN
ejpam-4416	13	38	of	of	ADP
ejpam-4416	13	39	dihedral	dihedral	ADJ
ejpam-4416	13	40	type	type	NOUN
ejpam-4416	13	41	groups	group	NOUN
ejpam-4416	13	42	[	[	X
ejpam-4416	13	43	7	7	X
ejpam-4416	13	44	]	]	PUNCT
ejpam-4416	13	45	and	and	CCONJ
ejpam-4416	13	46	many	many	ADJ
ejpam-4416	13	47	more	more	ADJ
ejpam-4416	13	48	.	.	PUNCT
ejpam-4416	14	1	in	in	ADP
ejpam-4416	14	2	2009	2009	NUM
ejpam-4416	14	3	,	,	PUNCT
ejpam-4416	14	4	kandasamy	kandasamy	NOUN
ejpam-4416	14	5	and	and	CCONJ
ejpam-4416	14	6	smarandache	smarandache	NOUN
ejpam-4416	14	7	[	[	X
ejpam-4416	14	8	6	6	NUM
ejpam-4416	14	9	]	]	PUNCT
ejpam-4416	14	10	,	,	PUNCT
ejpam-4416	14	11	wrote	write	VERB
ejpam-4416	14	12	a	a	DET
ejpam-4416	14	13	short	short	ADJ
ejpam-4416	14	14	book	book	NOUN
ejpam-4416	14	15	entitled	entitle	VERB
ejpam-4416	14	16	”	"	PUNCT
ejpam-4416	14	17	groups	group	NOUN
ejpam-4416	14	18	as	as	ADP
ejpam-4416	14	19	graphs	graph	NOUN
ejpam-4416	14	20	”	"	PUNCT
ejpam-4416	14	21	.	.	PUNCT
ejpam-4416	15	1	they	they	PRON
ejpam-4416	15	2	represented	represent	VERB
ejpam-4416	15	3	every	every	DET
ejpam-4416	15	4	finite	finite	ADJ
ejpam-4416	15	5	group	group	NOUN
ejpam-4416	15	6	in	in	ADP
ejpam-4416	15	7	the	the	DET
ejpam-4416	15	8	form	form	NOUN
ejpam-4416	15	9	of	of	ADP
ejpam-4416	15	10	graph	graph	NOUN
ejpam-4416	15	11	and	and	CCONJ
ejpam-4416	15	12	choose	choose	VERB
ejpam-4416	15	13	to	to	PART
ejpam-4416	15	14	call	call	VERB
ejpam-4416	15	15	these	these	DET
ejpam-4416	15	16	graphs	graph	NOUN
ejpam-4416	15	17	as	as	ADP
ejpam-4416	15	18	identity	identity	NOUN
ejpam-4416	15	19	graphs	graph	NOUN
ejpam-4416	15	20	since	since	SCONJ
ejpam-4416	15	21	the	the	DET
ejpam-4416	15	22	main	main	ADJ
ejpam-4416	15	23	role	role	NOUN
ejpam-4416	15	24	of	of	ADP
ejpam-4416	15	25	obtaining	obtain	VERB
ejpam-4416	15	26	the	the	DET
ejpam-4416	15	27	graph	graph	NOUN
ejpam-4416	15	28	is	be	AUX
ejpam-4416	15	29	played	play	VERB
ejpam-4416	15	30	by	by	ADP
ejpam-4416	15	31	∗corresponding	∗corresponde	VERB
ejpam-4416	15	32	author	author	NOUN
ejpam-4416	15	33	.	.	PUNCT
ejpam-4416	16	1	doi	doi	NOUN
ejpam-4416	16	2	:	:	PUNCT
ejpam-4416	16	3	https://doi.org/10.29020/nybg.ejpam.v15i3.4416	https://doi.org/10.29020/nybg.ejpam.v15i3.4416	DET
ejpam-4416	16	4	email	email	NOUN
ejpam-4416	16	5	addresses	address	NOUN
ejpam-4416	16	6	:	:	PUNCT
ejpam-4416	16	7	clarencealib@cspc.edu.ph	clarencealib@cspc.edu.ph	ADJ
ejpam-4416	16	8	(	(	PUNCT
ejpam-4416	16	9	c.	c.	PROPN
ejpam-4416	16	10	alib	alib	PROPN
ejpam-4416	16	11	)	)	PUNCT
ejpam-4416	16	12	,	,	PUNCT
ejpam-4416	16	13	darylmagpantay@g.batstate-u.edu.ph	darylmagpantay@g.batstate-u.edu.ph	PROPN
ejpam-4416	16	14	(	(	PUNCT
ejpam-4416	16	15	d.	d.	NOUN
ejpam-4416	16	16	magpantay	magpantay	PROPN
ejpam-4416	16	17	)	)	PUNCT
ejpam-4416	16	18	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4416	16	19	1098	1098	NUM
ejpam-4416	17	1	©	©	PROPN
ejpam-4416	17	2	2022	2022	NUM
ejpam-4416	17	3	ejpam	ejpam	VERB
ejpam-4416	17	4	all	all	DET
ejpam-4416	17	5	rights	right	NOUN
ejpam-4416	17	6	reserved	reserve	VERB
ejpam-4416	17	7	.	.	PUNCT
ejpam-4416	18	1	c.	c.	PROPN
ejpam-4416	18	2	alib	alib	PROPN
ejpam-4416	18	3	,	,	PUNCT
ejpam-4416	18	4	d.	d.	PROPN
ejpam-4416	18	5	magpantay	magpantay	PROPN
ejpam-4416	18	6	/	/	SYM
ejpam-4416	18	7	eur	eur	PROPN
ejpam-4416	18	8	.	.	PUNCT
ejpam-4416	19	1	j.	j.	PROPN
ejpam-4416	19	2	pure	pure	PROPN
ejpam-4416	19	3	appl	appl	PROPN
ejpam-4416	19	4	.	.	PROPN
ejpam-4416	19	5	math	math	PROPN
ejpam-4416	19	6	,	,	PUNCT
ejpam-4416	19	7	15	15	NUM
ejpam-4416	19	8	(	(	PUNCT
ejpam-4416	19	9	3	3	NUM
ejpam-4416	19	10	)	)	PUNCT
ejpam-4416	19	11	(	(	PUNCT
ejpam-4416	19	12	2022	2022	NUM
ejpam-4416	19	13	)	)	PUNCT
ejpam-4416	19	14	,	,	PUNCT
ejpam-4416	19	15	1098	1098	NUM
ejpam-4416	19	16	-	-	SYM
ejpam-4416	19	17	1112	1112	NUM
ejpam-4416	19	18	1099	1099	NUM
ejpam-4416	19	19	the	the	DET
ejpam-4416	19	20	identity	identity	NOUN
ejpam-4416	19	21	element	element	NOUN
ejpam-4416	19	22	of	of	ADP
ejpam-4416	19	23	the	the	DET
ejpam-4416	19	24	group	group	NOUN
ejpam-4416	19	25	.	.	PUNCT
ejpam-4416	20	1	in	in	ADP
ejpam-4416	20	2	this	this	DET
ejpam-4416	20	3	paper	paper	NOUN
ejpam-4416	20	4	,	,	PUNCT
ejpam-4416	20	5	we	we	PRON
ejpam-4416	20	6	construct	construct	VERB
ejpam-4416	20	7	the	the	DET
ejpam-4416	20	8	central	central	ADJ
ejpam-4416	20	9	graph	graph	NOUN
ejpam-4416	20	10	of	of	ADP
ejpam-4416	20	11	the	the	DET
ejpam-4416	20	12	identity	identity	NOUN
ejpam-4416	20	13	graph	graph	NOUN
ejpam-4416	20	14	of	of	ADP
ejpam-4416	20	15	finite	finite	ADJ
ejpam-4416	20	16	cyclic	cyclic	PROPN
ejpam-4416	20	17	group	group	NOUN
ejpam-4416	20	18	and	and	CCONJ
ejpam-4416	20	19	find	find	VERB
ejpam-4416	20	20	its	its	PRON
ejpam-4416	20	21	properties	property	NOUN
ejpam-4416	20	22	.	.	PUNCT
ejpam-4416	21	1	graph	graph	NOUN
ejpam-4416	21	2	parameters	parameter	NOUN
ejpam-4416	21	3	like	like	ADP
ejpam-4416	21	4	distance	distance	NOUN
ejpam-4416	21	5	,	,	PUNCT
ejpam-4416	21	6	eccentricities	eccentricity	NOUN
ejpam-4416	21	7	,	,	PUNCT
ejpam-4416	21	8	radius	radius	NOUN
ejpam-4416	21	9	,	,	PUNCT
ejpam-4416	21	10	diameter	diameter	NOUN
ejpam-4416	21	11	,	,	PUNCT
ejpam-4416	21	12	girth	girth	NOUN
ejpam-4416	21	13	,	,	PUNCT
ejpam-4416	21	14	center	center	NOUN
ejpam-4416	21	15	,	,	PUNCT
ejpam-4416	21	16	periphery	periphery	NOUN
ejpam-4416	21	17	are	be	AUX
ejpam-4416	21	18	included	include	VERB
ejpam-4416	21	19	.	.	PUNCT
ejpam-4416	22	1	2	2	X
ejpam-4416	22	2	.	.	X
ejpam-4416	22	3	preliminaries	preliminary	NOUN
ejpam-4416	22	4	in	in	ADP
ejpam-4416	22	5	this	this	DET
ejpam-4416	22	6	paper	paper	NOUN
ejpam-4416	22	7	,	,	PUNCT
ejpam-4416	22	8	all	all	DET
ejpam-4416	22	9	groups	group	NOUN
ejpam-4416	22	10	considered	consider	VERB
ejpam-4416	22	11	are	be	AUX
ejpam-4416	22	12	finite	finite	ADJ
ejpam-4416	22	13	cyclic	cyclic	ADJ
ejpam-4416	22	14	groups	group	NOUN
ejpam-4416	22	15	.	.	PUNCT
ejpam-4416	23	1	definition	definition	NOUN
ejpam-4416	23	2	2.1	2.1	NUM
ejpam-4416	23	3	.	.	PUNCT
ejpam-4416	24	1	a	a	DET
ejpam-4416	24	2	group	group	NOUN
ejpam-4416	24	3	is	be	AUX
ejpam-4416	24	4	a	a	DET
ejpam-4416	24	5	nonempty	nonempty	NOUN
ejpam-4416	24	6	set	set	VERB
ejpam-4416	24	7	g	g	NOUN
ejpam-4416	24	8	together	together	ADV
ejpam-4416	24	9	with	with	ADP
ejpam-4416	24	10	a	a	DET
ejpam-4416	24	11	binary	binary	ADJ
ejpam-4416	24	12	operation	operation	NOUN
ejpam-4416	24	13	(	(	PUNCT
ejpam-4416	24	14	a	a	DET
ejpam-4416	24	15	,	,	PUNCT
ejpam-4416	24	16	b	b	NOUN
ejpam-4416	24	17	)	)	PUNCT
ejpam-4416	24	18	7→	7→	NOUN
ejpam-4416	24	19	a	a	DET
ejpam-4416	24	20	·	·	PUNCT
ejpam-4416	24	21	b	b	NOUN
ejpam-4416	24	22	:	:	PUNCT
ejpam-4416	24	23	g	g	PROPN
ejpam-4416	24	24	×	×	PROPN
ejpam-4416	24	25	g	g	NOUN
ejpam-4416	24	26	→	→	SYM
ejpam-4416	24	27	g	g	NOUN
ejpam-4416	24	28	satisfying	satisfy	VERB
ejpam-4416	24	29	the	the	DET
ejpam-4416	24	30	following	follow	VERB
ejpam-4416	24	31	properties	property	NOUN
ejpam-4416	24	32	:	:	PUNCT
ejpam-4416	24	33	g1	g1	PROPN
ejpam-4416	24	34	:	:	PUNCT
ejpam-4416	24	35	(	(	PUNCT
ejpam-4416	24	36	associativity	associativity	NOUN
ejpam-4416	24	37	)	)	PUNCT
ejpam-4416	24	38	for	for	ADP
ejpam-4416	24	39	all	all	DET
ejpam-4416	24	40	a	a	DET
ejpam-4416	24	41	,	,	PUNCT
ejpam-4416	24	42	b	b	NOUN
ejpam-4416	24	43	,	,	PUNCT
ejpam-4416	24	44	c	c	PROPN
ejpam-4416	24	45	∈	∈	PROPN
ejpam-4416	24	46	g	g	PROPN
ejpam-4416	24	47	,	,	PUNCT
ejpam-4416	24	48	(	(	PUNCT
ejpam-4416	24	49	a	a	DET
ejpam-4416	24	50	·	·	SYM
ejpam-4416	24	51	b	b	X
ejpam-4416	24	52	)	)	PUNCT
ejpam-4416	24	53	·	·	PUNCT
ejpam-4416	25	1	c	c	X
ejpam-4416	25	2	=	=	PUNCT
ejpam-4416	25	3	a	a	X
ejpam-4416	25	4	·	·	PUNCT
ejpam-4416	25	5	(	(	PUNCT
ejpam-4416	25	6	b	b	X
ejpam-4416	25	7	·	·	PUNCT
ejpam-4416	25	8	c	c	X
ejpam-4416	25	9	)	)	PUNCT
ejpam-4416	25	10	;	;	PUNCT
ejpam-4416	25	11	g2	g2	PROPN
ejpam-4416	25	12	:	:	PUNCT
ejpam-4416	25	13	(	(	PUNCT
ejpam-4416	25	14	existence	existence	NOUN
ejpam-4416	25	15	of	of	ADP
ejpam-4416	25	16	an	an	DET
ejpam-4416	25	17	identity	identity	NOUN
ejpam-4416	25	18	element	element	NOUN
ejpam-4416	25	19	)	)	PUNCT
ejpam-4416	25	20	there	there	PRON
ejpam-4416	25	21	exists	exist	VERB
ejpam-4416	25	22	an	an	DET
ejpam-4416	25	23	element	element	NOUN
ejpam-4416	25	24	e	e	PROPN
ejpam-4416	25	25	∈	∈	PROPN
ejpam-4416	25	26	g	g	PROPN
ejpam-4416	25	27	such	such	DET
ejpam-4416	25	28	that	that	SCONJ
ejpam-4416	25	29	a	a	PRON
ejpam-4416	25	30	·	·	PUNCT
ejpam-4416	25	31	e	e	X
ejpam-4416	25	32	=	=	PUNCT
ejpam-4416	25	33	a	a	DET
ejpam-4416	25	34	=	=	SYM
ejpam-4416	25	35	e	e	X
ejpam-4416	25	36	·	·	PUNCT
ejpam-4416	25	37	a	a	X
ejpam-4416	25	38	for	for	ADP
ejpam-4416	25	39	all	all	DET
ejpam-4416	25	40	a	a	DET
ejpam-4416	25	41	∈	∈	NOUN
ejpam-4416	25	42	g	g	NOUN
ejpam-4416	25	43	;	;	PUNCT
ejpam-4416	25	44	g3	g3	PROPN
ejpam-4416	25	45	:	:	PUNCT
ejpam-4416	25	46	(	(	PUNCT
ejpam-4416	25	47	existence	existence	NOUN
ejpam-4416	25	48	of	of	ADP
ejpam-4416	25	49	inverse	inverse	NOUN
ejpam-4416	25	50	element	element	NOUN
ejpam-4416	25	51	)	)	PUNCT
ejpam-4416	25	52	for	for	ADP
ejpam-4416	25	53	each	each	PRON
ejpam-4416	25	54	a	a	DET
ejpam-4416	25	55	∈	∈	PROPN
ejpam-4416	25	56	g	g	NOUN
ejpam-4416	25	57	,	,	PUNCT
ejpam-4416	25	58	there	there	PRON
ejpam-4416	25	59	exists	exist	VERB
ejpam-4416	25	60	an	an	DET
ejpam-4416	25	61	a′	a′	ADJ
ejpam-4416	25	62	∈	∈	PROPN
ejpam-4416	25	63	g	g	ADP
ejpam-4416	25	64	such	such	DET
ejpam-4416	25	65	that	that	SCONJ
ejpam-4416	25	66	a	a	DET
ejpam-4416	25	67	·	·	PUNCT
ejpam-4416	25	68	a′	a′	NUM
ejpam-4416	25	69	=	=	SYM
ejpam-4416	25	70	e	e	NOUN
ejpam-4416	25	71	=	=	PUNCT
ejpam-4416	25	72	a′	a′	PROPN
ejpam-4416	25	73	·	·	PUNCT
ejpam-4416	25	74	a	a	DET
ejpam-4416	25	75	note	note	NOUN
ejpam-4416	25	76	that	that	SCONJ
ejpam-4416	25	77	the	the	DET
ejpam-4416	25	78	notation	notation	NOUN
ejpam-4416	25	79	(	(	PUNCT
ejpam-4416	25	80	a	a	PRON
ejpam-4416	25	81	,	,	PUNCT
ejpam-4416	25	82	b	b	NOUN
ejpam-4416	25	83	)	)	PUNCT
ejpam-4416	25	84	7→	7→	NOUN
ejpam-4416	25	85	a	a	DET
ejpam-4416	25	86	·	·	PUNCT
ejpam-4416	25	87	b	b	NOUN
ejpam-4416	25	88	:	:	PUNCT
ejpam-4416	25	89	g	g	PROPN
ejpam-4416	25	90	×	×	PROPN
ejpam-4416	25	91	g	g	NOUN
ejpam-4416	25	92	→	→	SYM
ejpam-4416	25	93	g	g	NOUN
ejpam-4416	25	94	means	mean	VERB
ejpam-4416	25	95	that	that	SCONJ
ejpam-4416	25	96	for	for	ADP
ejpam-4416	25	97	any	any	DET
ejpam-4416	25	98	two	two	NUM
ejpam-4416	25	99	elements	element	NOUN
ejpam-4416	25	100	a	a	PRON
ejpam-4416	25	101	,	,	PUNCT
ejpam-4416	25	102	b	b	PROPN
ejpam-4416	25	103	∈	∈	PROPN
ejpam-4416	25	104	g	g	PROPN
ejpam-4416	25	105	,	,	PUNCT
ejpam-4416	25	106	a	a	DET
ejpam-4416	25	107	·	·	SYM
ejpam-4416	25	108	b	b	PROPN
ejpam-4416	25	109	also	also	ADV
ejpam-4416	25	110	belongs	belong	VERB
ejpam-4416	25	111	to	to	ADP
ejpam-4416	25	112	g	g	PROPN
ejpam-4416	25	113	.	.	PUNCT
ejpam-4416	26	1	this	this	PRON
ejpam-4416	26	2	is	be	AUX
ejpam-4416	26	3	called	call	VERB
ejpam-4416	26	4	closure	closure	NOUN
ejpam-4416	26	5	property	property	NOUN
ejpam-4416	26	6	.	.	PUNCT
ejpam-4416	27	1	this	this	DET
ejpam-4416	27	2	group	group	NOUN
ejpam-4416	27	3	g	g	PROPN
ejpam-4416	27	4	together	together	ADV
ejpam-4416	27	5	with	with	ADP
ejpam-4416	27	6	the	the	DET
ejpam-4416	27	7	binary	binary	PROPN
ejpam-4416	27	8	operation	operation	NOUN
ejpam-4416	27	9	·	·	PUNCT
ejpam-4416	27	10	is	be	AUX
ejpam-4416	27	11	written	write	VERB
ejpam-4416	27	12	as	as	ADP
ejpam-4416	27	13	(	(	PUNCT
ejpam-4416	27	14	g	g	NOUN
ejpam-4416	27	15	,	,	PUNCT
ejpam-4416	27	16	·	·	PUNCT
ejpam-4416	27	17	)	)	PUNCT
ejpam-4416	27	18	but	but	CCONJ
ejpam-4416	27	19	in	in	ADP
ejpam-4416	27	20	this	this	DET
ejpam-4416	27	21	paper	paper	NOUN
ejpam-4416	27	22	we	we	PRON
ejpam-4416	27	23	will	will	AUX
ejpam-4416	27	24	abbreviate	abbreviate	VERB
ejpam-4416	27	25	(	(	PUNCT
ejpam-4416	27	26	g	g	NOUN
ejpam-4416	27	27	,	,	PUNCT
ejpam-4416	27	28	·	·	PUNCT
ejpam-4416	27	29	)	)	PUNCT
ejpam-4416	27	30	to	to	ADP
ejpam-4416	27	31	g	g	PROPN
ejpam-4416	27	32	.	.	PUNCT
ejpam-4416	28	1	also	also	ADV
ejpam-4416	28	2	,	,	PUNCT
ejpam-4416	28	3	we	we	PRON
ejpam-4416	28	4	usually	usually	ADV
ejpam-4416	28	5	write	write	VERB
ejpam-4416	28	6	ab	ab	PROPN
ejpam-4416	28	7	for	for	ADP
ejpam-4416	28	8	a	a	DET
ejpam-4416	28	9	·	·	SYM
ejpam-4416	28	10	b	b	NOUN
ejpam-4416	28	11	and	and	CCONJ
ejpam-4416	28	12	1	1	NUM
ejpam-4416	28	13	for	for	ADP
ejpam-4416	28	14	e	e	NOUN
ejpam-4416	28	15	;	;	PUNCT
ejpam-4416	28	16	alternatively	alternatively	ADV
ejpam-4416	28	17	,	,	PUNCT
ejpam-4416	28	18	we	we	PRON
ejpam-4416	28	19	write	write	VERB
ejpam-4416	28	20	a+	a+	PRON
ejpam-4416	28	21	b	b	NOUN
ejpam-4416	28	22	for	for	ADP
ejpam-4416	28	23	a	a	DET
ejpam-4416	28	24	·	·	SYM
ejpam-4416	28	25	b	b	NOUN
ejpam-4416	28	26	and	and	CCONJ
ejpam-4416	28	27	0	0	NUM
ejpam-4416	28	28	for	for	ADP
ejpam-4416	28	29	e.	e.	PROPN
ejpam-4416	28	30	in	in	ADP
ejpam-4416	28	31	the	the	DET
ejpam-4416	28	32	first	first	ADJ
ejpam-4416	28	33	case	case	NOUN
ejpam-4416	28	34	,	,	PUNCT
ejpam-4416	28	35	the	the	DET
ejpam-4416	28	36	group	group	NOUN
ejpam-4416	28	37	is	be	AUX
ejpam-4416	28	38	said	say	VERB
ejpam-4416	28	39	to	to	PART
ejpam-4416	28	40	be	be	AUX
ejpam-4416	28	41	multiplicative	multiplicative	VERB
ejpam-4416	28	42	,	,	PUNCT
ejpam-4416	28	43	and	and	CCONJ
ejpam-4416	28	44	in	in	ADP
ejpam-4416	28	45	the	the	DET
ejpam-4416	28	46	second	second	NOUN
ejpam-4416	28	47	,	,	PUNCT
ejpam-4416	28	48	it	it	PRON
ejpam-4416	28	49	is	be	AUX
ejpam-4416	28	50	said	say	VERB
ejpam-4416	28	51	to	to	PART
ejpam-4416	28	52	be	be	AUX
ejpam-4416	28	53	additive	additive	ADJ
ejpam-4416	28	54	.	.	PUNCT
ejpam-4416	29	1	in	in	ADP
ejpam-4416	29	2	some	some	DET
ejpam-4416	29	3	standard	standard	ADJ
ejpam-4416	29	4	group	group	NOUN
ejpam-4416	29	5	theory	theory	NOUN
ejpam-4416	29	6	books	book	NOUN
ejpam-4416	29	7	,	,	PUNCT
ejpam-4416	29	8	·	·	PUNCT
ejpam-4416	29	9	is	be	AUX
ejpam-4416	29	10	usually	usually	ADV
ejpam-4416	29	11	written	write	VERB
ejpam-4416	29	12	as	as	ADP
ejpam-4416	29	13	*	*	PUNCT
ejpam-4416	29	14	but	but	CCONJ
ejpam-4416	29	15	in	in	ADP
ejpam-4416	29	16	this	this	DET
ejpam-4416	29	17	paper	paper	NOUN
ejpam-4416	29	18	we	we	PRON
ejpam-4416	29	19	use	use	VERB
ejpam-4416	29	20	·	·	PUNCT
ejpam-4416	29	21	as	as	ADP
ejpam-4416	29	22	the	the	DET
ejpam-4416	29	23	binary	binary	PROPN
ejpam-4416	29	24	operation	operation	NOUN
ejpam-4416	29	25	for	for	ADP
ejpam-4416	29	26	the	the	DET
ejpam-4416	29	27	group	group	NOUN
ejpam-4416	29	28	g	g	PROPN
ejpam-4416	29	29	.	.	PUNCT
ejpam-4416	30	1	example	example	NOUN
ejpam-4416	31	1	1	1	NUM
ejpam-4416	31	2	.	.	PUNCT
ejpam-4416	32	1	let	let	VERB
ejpam-4416	32	2	g	g	NOUN
ejpam-4416	32	3	=	=	PUNCT
ejpam-4416	32	4	{	{	PUNCT
ejpam-4416	32	5	1,−1	1,−1	NUM
ejpam-4416	32	6	}	}	PUNCT
ejpam-4416	32	7	.	.	PUNCT
ejpam-4416	33	1	g	g	NOUN
ejpam-4416	33	2	is	be	AUX
ejpam-4416	33	3	a	a	DET
ejpam-4416	33	4	group	group	NOUN
ejpam-4416	33	5	under	under	ADP
ejpam-4416	33	6	usual	usual	ADJ
ejpam-4416	33	7	multiplication	multiplication	NOUN
ejpam-4416	33	8	since	since	SCONJ
ejpam-4416	33	9	g	g	PROPN
ejpam-4416	33	10	satisfices	satisfice	VERB
ejpam-4416	33	11	all	all	DET
ejpam-4416	33	12	the	the	DET
ejpam-4416	33	13	properties	property	NOUN
ejpam-4416	33	14	of	of	ADP
ejpam-4416	33	15	a	a	DET
ejpam-4416	33	16	group	group	NOUN
ejpam-4416	33	17	;	;	PUNCT
ejpam-4416	33	18	that	that	PRON
ejpam-4416	33	19	is	is	ADV
ejpam-4416	33	20	,	,	PUNCT
ejpam-4416	33	21	g	g	PROPN
ejpam-4416	33	22	is	be	AUX
ejpam-4416	33	23	nonempty	nonempty	ADJ
ejpam-4416	33	24	,	,	PUNCT
ejpam-4416	33	25	closed	close	VERB
ejpam-4416	33	26	under	under	ADP
ejpam-4416	33	27	usual	usual	ADJ
ejpam-4416	33	28	multiplication	multiplication	NOUN
ejpam-4416	33	29	;	;	PUNCT
ejpam-4416	33	30	i.e.	i.e.	X
ejpam-4416	33	31	{	{	PUNCT
ejpam-4416	33	32	(	(	PUNCT
ejpam-4416	33	33	1×	1×	NUM
ejpam-4416	33	34	1	1	NUM
ejpam-4416	33	35	=	=	SYM
ejpam-4416	33	36	1	1	NUM
ejpam-4416	33	37	,	,	PUNCT
ejpam-4416	33	38	1×−1	1×−1	NUM
ejpam-4416	33	39	=	=	SYM
ejpam-4416	33	40	−1,−1×−1	−1,−1×−1	NOUN
ejpam-4416	33	41	=	=	PUNCT
ejpam-4416	33	42	1	1	NUM
ejpam-4416	33	43	}	}	PUNCT
ejpam-4416	33	44	.	.	PUNCT
ejpam-4416	34	1	since	since	SCONJ
ejpam-4416	34	2	usual	usual	ADJ
ejpam-4416	34	3	multiplication	multiplication	NOUN
ejpam-4416	34	4	is	be	AUX
ejpam-4416	34	5	associative	associative	ADJ
ejpam-4416	34	6	g	g	NOUN
ejpam-4416	34	7	is	be	AUX
ejpam-4416	34	8	also	also	ADV
ejpam-4416	34	9	associative	associative	ADJ
ejpam-4416	34	10	.	.	PUNCT
ejpam-4416	35	1	1	1	NUM
ejpam-4416	35	2	∈	∈	NOUN
ejpam-4416	35	3	g	g	NOUN
ejpam-4416	35	4	is	be	AUX
ejpam-4416	35	5	the	the	DET
ejpam-4416	35	6	identity	identity	NOUN
ejpam-4416	35	7	element	element	NOUN
ejpam-4416	35	8	of	of	ADP
ejpam-4416	35	9	g	g	PROPN
ejpam-4416	35	10	and	and	CCONJ
ejpam-4416	35	11	1	1	NUM
ejpam-4416	35	12	and	and	CCONJ
ejpam-4416	35	13	−1	−1	NOUN
ejpam-4416	35	14	are	be	AUX
ejpam-4416	35	15	self	self	NOUN
ejpam-4416	35	16	-	-	PUNCT
ejpam-4416	35	17	inverse	inverse	NOUN
ejpam-4416	35	18	elements	element	NOUN
ejpam-4416	35	19	.	.	PUNCT
ejpam-4416	36	1	definition	definition	NOUN
ejpam-4416	36	2	2.2	2.2	NUM
ejpam-4416	36	3	.	.	PUNCT
ejpam-4416	37	1	a	a	DET
ejpam-4416	37	2	group	group	NOUN
ejpam-4416	37	3	g	g	NOUN
ejpam-4416	37	4	is	be	AUX
ejpam-4416	37	5	called	call	VERB
ejpam-4416	37	6	cyclic	cyclic	ADJ
ejpam-4416	37	7	if	if	SCONJ
ejpam-4416	37	8	there	there	PRON
ejpam-4416	37	9	exists	exist	VERB
ejpam-4416	37	10	a	a	DET
ejpam-4416	37	11	∈	∈	NOUN
ejpam-4416	37	12	g	g	NOUN
ejpam-4416	37	13	such	such	ADJ
ejpam-4416	37	14	that	that	SCONJ
ejpam-4416	37	15	g	g	NOUN
ejpam-4416	37	16	=	=	PRON
ejpam-4416	37	17	{	{	PUNCT
ejpam-4416	37	18	an	an	DET
ejpam-4416	37	19	|	|	NOUN
ejpam-4416	37	20	n	n	NOUN
ejpam-4416	37	21	∈	∈	NOUN
ejpam-4416	37	22	z	z	NOUN
ejpam-4416	37	23	}	}	PUNCT
ejpam-4416	37	24	.	.	PUNCT
ejpam-4416	38	1	such	such	DET
ejpam-4416	38	2	an	an	DET
ejpam-4416	38	3	element	element	NOUN
ejpam-4416	38	4	a	a	PRON
ejpam-4416	38	5	is	be	AUX
ejpam-4416	38	6	called	call	VERB
ejpam-4416	38	7	a	a	DET
ejpam-4416	38	8	generator	generator	NOUN
ejpam-4416	38	9	of	of	ADP
ejpam-4416	38	10	g	g	PROPN
ejpam-4416	38	11	.	.	PUNCT
ejpam-4416	39	1	we	we	PRON
ejpam-4416	39	2	may	may	AUX
ejpam-4416	39	3	indicate	indicate	VERB
ejpam-4416	39	4	that	that	SCONJ
ejpam-4416	39	5	g	g	PROPN
ejpam-4416	39	6	is	be	AUX
ejpam-4416	39	7	a	a	DET
ejpam-4416	39	8	cyclic	cyclic	ADJ
ejpam-4416	39	9	group	group	NOUN
ejpam-4416	39	10	generated	generate	VERB
ejpam-4416	39	11	by	by	ADP
ejpam-4416	39	12	a	a	PRON
ejpam-4416	39	13	by	by	ADP
ejpam-4416	39	14	writing	write	VERB
ejpam-4416	39	15	g	g	PROPN
ejpam-4416	39	16	=	=	PUNCT
ejpam-4416	39	17	⟨a⟩.	⟨a⟩.	PROPN
ejpam-4416	39	18	we	we	PRON
ejpam-4416	39	19	denote	denote	VERB
ejpam-4416	39	20	this	this	DET
ejpam-4416	39	21	group	group	NOUN
ejpam-4416	39	22	as	as	ADP
ejpam-4416	39	23	cn	cn	NOUN
ejpam-4416	39	24	of	of	ADP
ejpam-4416	39	25	order	order	NOUN
ejpam-4416	39	26	n.	n.	PROPN
ejpam-4416	39	27	c.	c.	PROPN
ejpam-4416	39	28	alib	alib	PROPN
ejpam-4416	39	29	,	,	PUNCT
ejpam-4416	39	30	d.	d.	PROPN
ejpam-4416	39	31	magpantay	magpantay	PROPN
ejpam-4416	39	32	/	/	SYM
ejpam-4416	39	33	eur	eur	PROPN
ejpam-4416	39	34	.	.	PUNCT
ejpam-4416	40	1	j.	j.	PROPN
ejpam-4416	40	2	pure	pure	PROPN
ejpam-4416	40	3	appl	appl	PROPN
ejpam-4416	40	4	.	.	PROPN
ejpam-4416	40	5	math	math	PROPN
ejpam-4416	40	6	,	,	PUNCT
ejpam-4416	40	7	15	15	NUM
ejpam-4416	40	8	(	(	PUNCT
ejpam-4416	40	9	3	3	NUM
ejpam-4416	40	10	)	)	PUNCT
ejpam-4416	40	11	(	(	PUNCT
ejpam-4416	40	12	2022	2022	NUM
ejpam-4416	40	13	)	)	PUNCT
ejpam-4416	40	14	,	,	PUNCT
ejpam-4416	40	15	1098	1098	NUM
ejpam-4416	40	16	-	-	SYM
ejpam-4416	40	17	1112	1112	NUM
ejpam-4416	40	18	1100	1100	NUM
ejpam-4416	40	19	example	example	NOUN
ejpam-4416	40	20	2	2	NUM
ejpam-4416	40	21	.	.	X
ejpam-4416	40	22	consider	consider	VERB
ejpam-4416	40	23	the	the	DET
ejpam-4416	40	24	group	group	NOUN
ejpam-4416	40	25	z6	z6	NOUN
ejpam-4416	40	26	=	=	SYM
ejpam-4416	40	27	{	{	PUNCT
ejpam-4416	40	28	0	0	NUM
ejpam-4416	40	29	,	,	PUNCT
ejpam-4416	40	30	1	1	NUM
ejpam-4416	40	31	,	,	PUNCT
ejpam-4416	40	32	2	2	NUM
ejpam-4416	40	33	,	,	PUNCT
ejpam-4416	40	34	3	3	NUM
ejpam-4416	40	35	,	,	PUNCT
ejpam-4416	40	36	4	4	NUM
ejpam-4416	40	37	,	,	PUNCT
ejpam-4416	40	38	5	5	NUM
ejpam-4416	40	39	}	}	PUNCT
ejpam-4416	40	40	under	under	ADP
ejpam-4416	40	41	usual	usual	ADJ
ejpam-4416	40	42	addition	addition	NOUN
ejpam-4416	40	43	modulo	modulo	VERB
ejpam-4416	40	44	6	6	NUM
ejpam-4416	40	45	.	.	PUNCT
ejpam-4416	40	46	note	note	VERB
ejpam-4416	40	47	that	that	SCONJ
ejpam-4416	40	48	1	1	NUM
ejpam-4416	40	49	∈	∈	PROPN
ejpam-4416	40	50	z6	z6	NOUN
ejpam-4416	40	51	such	such	ADJ
ejpam-4416	40	52	that	that	DET
ejpam-4416	40	53	⟨1⟩	⟨1⟩	PROPN
ejpam-4416	40	54	=	=	SYM
ejpam-4416	40	55	z6	z6	PROPN
ejpam-4416	40	56	.	.	PUNCT
ejpam-4416	41	1	we	we	PRON
ejpam-4416	41	2	can	can	AUX
ejpam-4416	41	3	also	also	ADV
ejpam-4416	41	4	verify	verify	VERB
ejpam-4416	41	5	that	that	SCONJ
ejpam-4416	41	6	⟨5⟩	⟨5⟩	PROPN
ejpam-4416	41	7	=	=	SYM
ejpam-4416	41	8	z6	z6	PROPN
ejpam-4416	41	9	,	,	PUNCT
ejpam-4416	41	10	that	that	ADV
ejpam-4416	41	11	is	is	ADV
ejpam-4416	41	12	,	,	PUNCT
ejpam-4416	41	13	⟨5⟩	⟨5⟩	PROPN
ejpam-4416	41	14	=	=	PUNCT
ejpam-4416	41	15	{	{	PUNCT
ejpam-4416	41	16	1	1	NUM
ejpam-4416	41	17	·	·	SYM
ejpam-4416	41	18	5	5	NUM
ejpam-4416	41	19	≡	≡	PROPN
ejpam-4416	41	20	5	5	NUM
ejpam-4416	41	21	,	,	PUNCT
ejpam-4416	41	22	2	2	NUM
ejpam-4416	41	23	·	·	SYM
ejpam-4416	41	24	5	5	NUM
ejpam-4416	41	25	≡	≡	PROPN
ejpam-4416	41	26	4	4	NUM
ejpam-4416	41	27	,	,	PUNCT
ejpam-4416	41	28	3	3	NUM
ejpam-4416	41	29	·	·	SYM
ejpam-4416	41	30	5	5	NUM
ejpam-4416	41	31	≡	≡	PROPN
ejpam-4416	41	32	3	3	NUM
ejpam-4416	41	33	,	,	PUNCT
ejpam-4416	41	34	4	4	NUM
ejpam-4416	41	35	·	·	SYM
ejpam-4416	41	36	5	5	NUM
ejpam-4416	41	37	≡	≡	PROPN
ejpam-4416	41	38	2	2	NUM
ejpam-4416	41	39	,	,	PUNCT
ejpam-4416	41	40	5	5	NUM
ejpam-4416	41	41	·	·	SYM
ejpam-4416	41	42	5	5	NUM
ejpam-4416	41	43	≡	≡	PROPN
ejpam-4416	41	44	1	1	NUM
ejpam-4416	41	45	,	,	PUNCT
ejpam-4416	41	46	6	6	NUM
ejpam-4416	41	47	·	·	SYM
ejpam-4416	41	48	5	5	NUM
ejpam-4416	41	49	≡	≡	PROPN
ejpam-4416	41	50	0	0	NUM
ejpam-4416	41	51	}	}	PUNCT
ejpam-4416	41	52	=	=	SYM
ejpam-4416	41	53	{	{	PUNCT
ejpam-4416	41	54	0	0	NUM
ejpam-4416	41	55	,	,	PUNCT
ejpam-4416	41	56	1	1	NUM
ejpam-4416	41	57	,	,	PUNCT
ejpam-4416	41	58	2	2	NUM
ejpam-4416	41	59	,	,	PUNCT
ejpam-4416	41	60	3	3	NUM
ejpam-4416	41	61	,	,	PUNCT
ejpam-4416	41	62	4	4	NUM
ejpam-4416	41	63	,	,	PUNCT
ejpam-4416	41	64	5	5	NUM
ejpam-4416	41	65	}	}	PUNCT
ejpam-4416	41	66	=	=	SYM
ejpam-4416	41	67	z6	z6	PROPN
ejpam-4416	41	68	definition	definition	NOUN
ejpam-4416	41	69	2.3	2.3	NUM
ejpam-4416	41	70	.	.	PUNCT
ejpam-4416	42	1	[	[	X
ejpam-4416	42	2	6	6	NUM
ejpam-4416	42	3	]	]	PUNCT
ejpam-4416	42	4	given	give	VERB
ejpam-4416	42	5	a	a	DET
ejpam-4416	42	6	group	group	NOUN
ejpam-4416	42	7	g	g	NOUN
ejpam-4416	42	8	with	with	ADP
ejpam-4416	42	9	e	e	PROPN
ejpam-4416	42	10	as	as	ADP
ejpam-4416	42	11	the	the	DET
ejpam-4416	42	12	identity	identity	NOUN
ejpam-4416	42	13	element	element	NOUN
ejpam-4416	42	14	,	,	PUNCT
ejpam-4416	42	15	define	define	VERB
ejpam-4416	42	16	the	the	DET
ejpam-4416	42	17	identity	identity	NOUN
ejpam-4416	42	18	graph	graph	NOUN
ejpam-4416	42	19	γg	γg	ADV
ejpam-4416	42	20	to	to	PART
ejpam-4416	42	21	have	have	VERB
ejpam-4416	42	22	the	the	DET
ejpam-4416	42	23	vertex	vertex	NOUN
ejpam-4416	42	24	set	set	VERB
ejpam-4416	42	25	g	g	NOUN
ejpam-4416	42	26	and	and	CCONJ
ejpam-4416	42	27	the	the	DET
ejpam-4416	42	28	edge	edge	NOUN
ejpam-4416	42	29	set	set	VERB
ejpam-4416	42	30	e(γg	e(γg	PROPN
ejpam-4416	42	31	)	)	PUNCT
ejpam-4416	42	32	satisfying	satisfy	VERB
ejpam-4416	42	33	two	two	NUM
ejpam-4416	42	34	conditions	condition	NOUN
ejpam-4416	42	35	:	:	PUNCT
ejpam-4416	42	36	(	(	PUNCT
ejpam-4416	42	37	i	i	NOUN
ejpam-4416	42	38	)	)	PUNCT
ejpam-4416	42	39	for	for	ADP
ejpam-4416	42	40	every	every	DET
ejpam-4416	42	41	x	x	PROPN
ejpam-4416	42	42	,	,	PUNCT
ejpam-4416	42	43	y	y	PROPN
ejpam-4416	42	44	∈	∈	PROPN
ejpam-4416	42	45	g	g	PROPN
ejpam-4416	42	46	(	(	PUNCT
ejpam-4416	42	47	x	x	PROPN
ejpam-4416	42	48	̸=	̸=	PROPN
ejpam-4416	42	49	e	e	NOUN
ejpam-4416	42	50	,	,	PUNCT
ejpam-4416	42	51	y	y	PROPN
ejpam-4416	42	52	̸=	̸=	PROPN
ejpam-4416	42	53	e	e	PROPN
ejpam-4416	42	54	,	,	PUNCT
ejpam-4416	42	55	x	x	PROPN
ejpam-4416	42	56	̸=	̸=	PROPN
ejpam-4416	42	57	y	y	PROPN
ejpam-4416	42	58	)	)	PUNCT
ejpam-4416	42	59	,	,	PUNCT
ejpam-4416	42	60	x	x	PUNCT
ejpam-4416	42	61	and	and	CCONJ
ejpam-4416	42	62	y	y	PROPN
ejpam-4416	42	63	are	be	AUX
ejpam-4416	42	64	adjacent	adjacent	ADJ
ejpam-4416	42	65	in	in	ADP
ejpam-4416	42	66	γg	γg	ADV
ejpam-4416	42	67	if	if	SCONJ
ejpam-4416	42	68	and	and	CCONJ
ejpam-4416	42	69	only	only	ADV
ejpam-4416	42	70	if	if	SCONJ
ejpam-4416	42	71	x	x	X
ejpam-4416	42	72	·	·	PUNCT
ejpam-4416	42	73	y	y	X
ejpam-4416	42	74	=	=	SYM
ejpam-4416	42	75	e	e	PROPN
ejpam-4416	42	76	;	;	PUNCT
ejpam-4416	42	77	(	(	PUNCT
ejpam-4416	42	78	ii	ii	NOUN
ejpam-4416	42	79	)	)	PUNCT
ejpam-4416	42	80	for	for	ADP
ejpam-4416	42	81	each	each	DET
ejpam-4416	42	82	x	x	SYM
ejpam-4416	42	83	∈	∈	PROPN
ejpam-4416	42	84	g	g	PROPN
ejpam-4416	42	85	(	(	PUNCT
ejpam-4416	42	86	x	x	PROPN
ejpam-4416	42	87	̸=	̸=	PROPN
ejpam-4416	42	88	e	e	NOUN
ejpam-4416	42	89	)	)	PUNCT
ejpam-4416	42	90	,	,	PUNCT
ejpam-4416	42	91	x	x	PUNCT
ejpam-4416	42	92	and	and	CCONJ
ejpam-4416	42	93	e	e	NOUN
ejpam-4416	42	94	are	be	AUX
ejpam-4416	42	95	adjacent	adjacent	ADJ
ejpam-4416	42	96	in	in	ADP
ejpam-4416	42	97	γg	γg	PROPN
ejpam-4416	42	98	.	.	PUNCT
ejpam-4416	43	1	definition	definition	NOUN
ejpam-4416	43	2	2.4	2.4	NUM
ejpam-4416	43	3	.	.	PUNCT
ejpam-4416	44	1	[	[	X
ejpam-4416	44	2	9	9	NUM
ejpam-4416	44	3	]	]	PUNCT
ejpam-4416	44	4	given	give	VERB
ejpam-4416	44	5	a	a	DET
ejpam-4416	44	6	group	group	NOUN
ejpam-4416	44	7	g	g	NOUN
ejpam-4416	44	8	,	,	PUNCT
ejpam-4416	44	9	a	a	DET
ejpam-4416	44	10	line	line	NOUN
ejpam-4416	44	11	in	in	ADP
ejpam-4416	44	12	the	the	DET
ejpam-4416	44	13	identity	identity	NOUN
ejpam-4416	44	14	graph	graph	NOUN
ejpam-4416	44	15	γg	γg	ADV
ejpam-4416	44	16	is	be	AUX
ejpam-4416	44	17	an	an	DET
ejpam-4416	44	18	edge	edge	NOUN
ejpam-4416	44	19	(	(	PUNCT
ejpam-4416	44	20	x	x	X
ejpam-4416	44	21	,	,	PUNCT
ejpam-4416	44	22	e	e	NOUN
ejpam-4416	44	23	)	)	PUNCT
ejpam-4416	44	24	such	such	ADJ
ejpam-4416	44	25	that	that	SCONJ
ejpam-4416	44	26	the	the	DET
ejpam-4416	44	27	degree	degree	NOUN
ejpam-4416	44	28	of	of	ADP
ejpam-4416	44	29	a	a	DET
ejpam-4416	44	30	vertex	vertex	NOUN
ejpam-4416	44	31	x	x	SYM
ejpam-4416	44	32	∈	∈	PROPN
ejpam-4416	44	33	g	g	PROPN
ejpam-4416	44	34	is	be	AUX
ejpam-4416	44	35	one	one	NUM
ejpam-4416	44	36	.	.	PUNCT
ejpam-4416	45	1	the	the	DET
ejpam-4416	45	2	number	number	NOUN
ejpam-4416	45	3	of	of	ADP
ejpam-4416	45	4	lines	line	NOUN
ejpam-4416	45	5	in	in	ADP
ejpam-4416	45	6	the	the	DET
ejpam-4416	45	7	identity	identity	NOUN
ejpam-4416	45	8	graph	graph	NOUN
ejpam-4416	45	9	γg	γg	ADV
ejpam-4416	45	10	is	be	AUX
ejpam-4416	45	11	denoted	denote	VERB
ejpam-4416	45	12	by	by	ADP
ejpam-4416	45	13	line(g	line(g	PROPN
ejpam-4416	45	14	)	)	PUNCT
ejpam-4416	45	15	.	.	PUNCT
ejpam-4416	46	1	definition	definition	NOUN
ejpam-4416	46	2	2.5	2.5	NUM
ejpam-4416	46	3	.	.	PUNCT
ejpam-4416	47	1	[	[	X
ejpam-4416	47	2	9	9	NUM
ejpam-4416	47	3	]	]	PUNCT
ejpam-4416	47	4	a	a	DET
ejpam-4416	47	5	triangle	triangle	NOUN
ejpam-4416	47	6	in	in	ADP
ejpam-4416	47	7	the	the	DET
ejpam-4416	47	8	identity	identity	NOUN
ejpam-4416	47	9	graph	graph	NOUN
ejpam-4416	47	10	γg	γg	ADV
ejpam-4416	47	11	is	be	AUX
ejpam-4416	47	12	a	a	DET
ejpam-4416	47	13	subgraph	subgraph	NOUN
ejpam-4416	47	14	which	which	PRON
ejpam-4416	47	15	is	be	AUX
ejpam-4416	47	16	isomorphic	isomorphic	ADJ
ejpam-4416	47	17	to	to	ADP
ejpam-4416	47	18	the	the	DET
ejpam-4416	47	19	cycle	cycle	NOUN
ejpam-4416	47	20	graph	graph	NOUN
ejpam-4416	47	21	of	of	ADP
ejpam-4416	47	22	length	length	NOUN
ejpam-4416	47	23	three	three	NUM
ejpam-4416	47	24	.	.	PUNCT
ejpam-4416	48	1	the	the	DET
ejpam-4416	48	2	number	number	NOUN
ejpam-4416	48	3	of	of	ADP
ejpam-4416	48	4	triangles	triangle	NOUN
ejpam-4416	48	5	in	in	ADP
ejpam-4416	48	6	the	the	DET
ejpam-4416	48	7	identity	identity	NOUN
ejpam-4416	48	8	graph	graph	NOUN
ejpam-4416	48	9	γg	γg	ADV
ejpam-4416	48	10	is	be	AUX
ejpam-4416	48	11	denoted	denote	VERB
ejpam-4416	48	12	by	by	ADP
ejpam-4416	48	13	tri(g	tri(g	NOUN
ejpam-4416	48	14	)	)	PUNCT
ejpam-4416	48	15	.	.	PUNCT
ejpam-4416	49	1	consider	consider	VERB
ejpam-4416	49	2	the	the	DET
ejpam-4416	49	3	identity	identity	NOUN
ejpam-4416	49	4	graphs	graph	NOUN
ejpam-4416	49	5	of	of	ADP
ejpam-4416	49	6	cyclic	cyclic	ADJ
ejpam-4416	49	7	groups	group	NOUN
ejpam-4416	49	8	below	below	ADV
ejpam-4416	49	9	.	.	PUNCT
ejpam-4416	50	1	....................................	....................................	PUNCT
ejpam-4416	50	2	....................................	....................................	PUNCT
ejpam-4416	51	1	....................................	....................................	PUNCT
ejpam-4416	51	2	....................................	....................................	PUNCT
ejpam-4416	52	1	....................................	....................................	PUNCT
ejpam-4416	52	2	........................................................................	........................................................................	PUNCT
ejpam-4416	53	1	....................................	....................................	PUNCT
ejpam-4416	53	2	....................................	....................................	PUNCT
ejpam-4416	54	1	....................................	....................................	PUNCT
ejpam-4416	54	2	....................................	....................................	PUNCT
ejpam-4416	55	1	....................................	....................................	PUNCT
ejpam-4416	55	2	γc5	γc5	NOUN
ejpam-4416	55	3	:	:	PUNCT
ejpam-4416	56	1	e	e	X
ejpam-4416	56	2	g	g	PROPN
ejpam-4416	56	3	g4	g4	NOUN
ejpam-4416	56	4	g2	g2	PROPN
ejpam-4416	56	5	g3	g3	PROPN
ejpam-4416	56	6	..............	..............	PUNCT
ejpam-4416	56	7	.............	.............	PUNCT
ejpam-4416	56	8	.............	.............	PUNCT
ejpam-4416	56	9	.............	.............	PUNCT
ejpam-4416	56	10	.............	.............	PUNCT
ejpam-4416	56	11	.............	.............	PUNCT
ejpam-4416	56	12	.............	.............	PUNCT
ejpam-4416	56	13	.............	.............	PUNCT
ejpam-4416	56	14	.............	.............	PUNCT
ejpam-4416	56	15	.............	.............	PUNCT
ejpam-4416	56	16	..	..	PUNCT
ejpam-4416	56	17	....	....	PUNCT
ejpam-4416	56	18	................................	................................	PUNCT
ejpam-4416	57	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4416	57	2	..........	..........	PUNCT
ejpam-4416	58	1	.........	.........	PUNCT
ejpam-4416	58	2	.........	.........	PUNCT
ejpam-4416	59	1	.........	.........	PUNCT
ejpam-4416	59	2	.........	.........	PUNCT
ejpam-4416	60	1	.........	.........	PUNCT
ejpam-4416	60	2	.........	.........	PUNCT
ejpam-4416	61	1	.........	.........	PUNCT
ejpam-4416	61	2	.......	.......	PUNCT
ejpam-4416	61	3	....................................	....................................	PUNCT
ejpam-4416	61	4	....................................................................................................................	....................................................................................................................	PUNCT
ejpam-4416	61	5	....................................	....................................	PUNCT
ejpam-4416	62	1	................................................................................................................	................................................................................................................	PUNCT
ejpam-4416	62	2	.....................................................................................................................................	.....................................................................................................................................	PUNCT
ejpam-4416	63	1	....................................	....................................	PUNCT
ejpam-4416	63	2	....................................	....................................	PUNCT
ejpam-4416	64	1	................................................................	................................................................	PUNCT
ejpam-4416	64	2	..................	..................	PUNCT
ejpam-4416	65	1	....................................	....................................	PUNCT
ejpam-4416	65	2	......................................................	......................................................	PUNCT
ejpam-4416	66	1	....................................	....................................	PUNCT
ejpam-4416	66	2	............	............	PUNCT
ejpam-4416	66	3	...........	...........	PUNCT
ejpam-4416	66	4	...........	...........	PUNCT
ejpam-4416	66	5	...........	...........	PUNCT
ejpam-4416	66	6	...........	...........	PUNCT
ejpam-4416	66	7	...........	...........	PUNCT
ejpam-4416	66	8	......	......	PUNCT
ejpam-4416	66	9	....................................	....................................	PUNCT
ejpam-4416	66	10	.......................................................................................................	.......................................................................................................	PUNCT
ejpam-4416	66	11	....................................	....................................	PUNCT
ejpam-4416	67	1	..............	..............	PUNCT
ejpam-4416	67	2	.............	.............	PUNCT
ejpam-4416	67	3	.............	.............	PUNCT
ejpam-4416	67	4	.............	.............	PUNCT
ejpam-4416	68	1	....	....	PUNCT
ejpam-4416	68	2	....................................	....................................	PUNCT
ejpam-4416	68	3	................................................................................................	................................................................................................	PUNCT
ejpam-4416	69	1	....................................	....................................	PUNCT
ejpam-4416	69	2	....................................	....................................	PUNCT
ejpam-4416	70	1	...............................................................	...............................................................	PUNCT
ejpam-4416	70	2	....................................	....................................	PUNCT
ejpam-4416	70	3	.............................................................................................................	.............................................................................................................	PUNCT
ejpam-4416	71	1	...........	...........	PUNCT
ejpam-4416	71	2	..........	..........	PUNCT
ejpam-4416	72	1	..........	..........	PUNCT
ejpam-4416	72	2	..........	..........	PUNCT
ejpam-4416	73	1	..........	..........	PUNCT
ejpam-4416	73	2	.......	.......	PUNCT
ejpam-4416	74	1	....................................	....................................	PUNCT
ejpam-4416	74	2	....................................	....................................	PUNCT
ejpam-4416	75	1	γc7	γc7	INTJ
ejpam-4416	75	2	:	:	PUNCT
ejpam-4416	76	1	e	e	X
ejpam-4416	76	2	g	g	PROPN
ejpam-4416	76	3	g6g2	g6g2	PROPN
ejpam-4416	76	4	g5	g5	NOUN
ejpam-4416	76	5	g3	g3	NOUN
ejpam-4416	76	6	g4	g4	NOUN
ejpam-4416	76	7	....................................	....................................	PUNCT
ejpam-4416	76	8	....................................	....................................	PUNCT
ejpam-4416	76	9	....................................	....................................	PUNCT
ejpam-4416	76	10	....................................	....................................	PUNCT
ejpam-4416	76	11	....................................	....................................	PUNCT
ejpam-4416	76	12	....................................	....................................	PUNCT
ejpam-4416	76	13	....................................	....................................	PUNCT
ejpam-4416	76	14	....................................	....................................	PUNCT
ejpam-4416	76	15	....................................	....................................	PUNCT
ejpam-4416	76	16	......................................................................................	......................................................................................	PUNCT
ejpam-4416	76	17	....................................	....................................	PUNCT
ejpam-4416	77	1	..................................................................................................	..................................................................................................	PUNCT
ejpam-4416	77	2	..........	..........	PUNCT
ejpam-4416	78	1	.........	.........	PUNCT
ejpam-4416	78	2	.........	.........	PUNCT
ejpam-4416	79	1	.........	.........	PUNCT
ejpam-4416	79	2	.........	.........	PUNCT
ejpam-4416	80	1	.........	.........	PUNCT
ejpam-4416	80	2	.........	.........	PUNCT
ejpam-4416	81	1	.........	.........	PUNCT
ejpam-4416	81	2	.......	.......	PUNCT
ejpam-4416	81	3	....................................	....................................	PUNCT
ejpam-4416	82	1	....................................	....................................	PUNCT
ejpam-4416	82	2	..........................................................................................................	..........................................................................................................	PUNCT
ejpam-4416	83	1	....................................	....................................	PUNCT
ejpam-4416	83	2	.........	.........	PUNCT
ejpam-4416	83	3	........	........	PUNCT
ejpam-4416	83	4	........	........	PUNCT
ejpam-4416	83	5	........	........	PUNCT
ejpam-4416	83	6	........	........	PUNCT
ejpam-4416	83	7	........	........	PUNCT
ejpam-4416	84	1	........	........	PUNCT
ejpam-4416	84	2	.....	.....	PUNCT
ejpam-4416	85	1	....................................	....................................	PUNCT
ejpam-4416	85	2	..............................	..............................	PUNCT
ejpam-4416	85	3	.............................	.............................	PUNCT
ejpam-4416	85	4	.............................	.............................	PUNCT
ejpam-4416	86	1	..................	..................	PUNCT
ejpam-4416	86	2	....................................	....................................	PUNCT
ejpam-4416	87	1	....................................	....................................	PUNCT
ejpam-4416	87	2	..........	..........	PUNCT
ejpam-4416	88	1	.........	.........	PUNCT
ejpam-4416	88	2	.........	.........	PUNCT
ejpam-4416	89	1	.........	.........	PUNCT
ejpam-4416	89	2	.........	.........	PUNCT
ejpam-4416	90	1	.........	.........	PUNCT
ejpam-4416	90	2	.........	.........	PUNCT
ejpam-4416	91	1	.........	.........	PUNCT
ejpam-4416	91	2	.......	.......	PUNCT
ejpam-4416	91	3	....................................	....................................	PUNCT
ejpam-4416	92	1	.........................................................................................	.........................................................................................	PUNCT
ejpam-4416	92	2	..............................................................................	..............................................................................	PUNCT
ejpam-4416	92	3	....................................	....................................	PUNCT
ejpam-4416	93	1	........................................................................................................................................	........................................................................................................................................	PUNCT
ejpam-4416	93	2	....................................	....................................	PUNCT
ejpam-4416	93	3	.........	.........	PUNCT
ejpam-4416	93	4	........	........	PUNCT
ejpam-4416	93	5	........	........	PUNCT
ejpam-4416	93	6	........	........	PUNCT
ejpam-4416	93	7	........	........	PUNCT
ejpam-4416	93	8	........	........	PUNCT
ejpam-4416	94	1	........	........	PUNCT
ejpam-4416	94	2	.....	.....	PUNCT
ejpam-4416	95	1	....................................	....................................	PUNCT
ejpam-4416	95	2	.......................	.......................	PUNCT
ejpam-4416	96	1	......................	......................	PUNCT
ejpam-4416	96	2	......................	......................	PUNCT
ejpam-4416	96	3	......................	......................	PUNCT
ejpam-4416	97	1	..............	..............	PUNCT
ejpam-4416	97	2	....................................	....................................	PUNCT
ejpam-4416	98	1	....................................	....................................	PUNCT
ejpam-4416	99	1	γc9	γc9	NOUN
ejpam-4416	99	2	:	:	PUNCT
ejpam-4416	100	1	e	e	X
ejpam-4416	100	2	g	g	PROPN
ejpam-4416	100	3	g8	g8	PROPN
ejpam-4416	100	4	g2g7	g2g7	PROPN
ejpam-4416	100	5	g3	g3	PROPN
ejpam-4416	100	6	g6	g6	PROPN
ejpam-4416	100	7	g4g5	g4g5	X
ejpam-4416	100	8	....................................	....................................	PUNCT
ejpam-4416	100	9	....................................	....................................	PUNCT
ejpam-4416	100	10	....................................	....................................	PUNCT
ejpam-4416	100	11	....................................	....................................	PUNCT
ejpam-4416	100	12	....................................	....................................	PUNCT
ejpam-4416	100	13	....................................	....................................	PUNCT
ejpam-4416	100	14	....................................	....................................	PUNCT
ejpam-4416	100	15	....................................	....................................	PUNCT
ejpam-4416	100	16	....................................	....................................	PUNCT
ejpam-4416	100	17	....................................	....................................	PUNCT
ejpam-4416	100	18	....................................	....................................	PUNCT
ejpam-4416	100	19	............................................................................................	............................................................................................	PUNCT
ejpam-4416	101	1	....................................	....................................	PUNCT
ejpam-4416	101	2	......................................................................................................................	......................................................................................................................	PUNCT
ejpam-4416	102	1	..........	..........	PUNCT
ejpam-4416	102	2	.........	.........	PUNCT
ejpam-4416	103	1	.........	.........	PUNCT
ejpam-4416	103	2	.........	.........	PUNCT
ejpam-4416	104	1	.........	.........	PUNCT
ejpam-4416	104	2	.........	.........	PUNCT
ejpam-4416	105	1	.........	.........	PUNCT
ejpam-4416	105	2	.........	.........	PUNCT
ejpam-4416	106	1	.........	.........	PUNCT
ejpam-4416	106	2	..	..	PUNCT
ejpam-4416	106	3	..	..	PUNCT
ejpam-4416	106	4	..................................	..................................	PUNCT
ejpam-4416	106	5	....................................	....................................	PUNCT
ejpam-4416	107	1	.........................................................................................................	.........................................................................................................	PUNCT
ejpam-4416	107	2	.............................................	.............................................	PUNCT
ejpam-4416	107	3	........	........	PUNCT
ejpam-4416	107	4	........	........	PUNCT
ejpam-4416	107	5	........	........	PUNCT
ejpam-4416	107	6	........	........	PUNCT
ejpam-4416	107	7	........	........	PUNCT
ejpam-4416	107	8	.......	.......	PUNCT
ejpam-4416	108	1	....................................	....................................	PUNCT
ejpam-4416	108	2	...............................................................................................................................	...............................................................................................................................	PUNCT
ejpam-4416	109	1	....................................	....................................	PUNCT
ejpam-4416	109	2	.................	.................	PUNCT
ejpam-4416	110	1	................	................	PUNCT
ejpam-4416	110	2	................	................	PUNCT
ejpam-4416	111	1	................	................	PUNCT
ejpam-4416	111	2	................	................	PUNCT
ejpam-4416	112	1	.....	.....	PUNCT
ejpam-4416	112	2	...	...	PUNCT
ejpam-4416	112	3	.................................	.................................	PUNCT
ejpam-4416	112	4	........................................................	........................................................	PUNCT
ejpam-4416	113	1	....................................	....................................	PUNCT
ejpam-4416	113	2	..........	..........	PUNCT
ejpam-4416	114	1	.........	.........	PUNCT
ejpam-4416	114	2	.........	.........	PUNCT
ejpam-4416	115	1	.........	.........	PUNCT
ejpam-4416	115	2	.........	.........	PUNCT
ejpam-4416	116	1	.........	.........	PUNCT
ejpam-4416	116	2	.........	.........	PUNCT
ejpam-4416	116	3	.........	.........	PUNCT
ejpam-4416	116	4	.......	.......	PUNCT
ejpam-4416	116	5	....................................	....................................	PUNCT
ejpam-4416	116	6	..................................................................................................................	..................................................................................................................	PUNCT
ejpam-4416	116	7	....................................	....................................	PUNCT
ejpam-4416	116	8	...............	...............	PUNCT
ejpam-4416	117	1	..............	..............	PUNCT
ejpam-4416	117	2	..............	..............	PUNCT
ejpam-4416	118	1	..............	..............	PUNCT
ejpam-4416	118	2	.......	.......	PUNCT
ejpam-4416	118	3	....................................	....................................	PUNCT
ejpam-4416	118	4	.................................................................................	.................................................................................	PUNCT
ejpam-4416	119	1	....................................	....................................	PUNCT
ejpam-4416	119	2	....................................	....................................	PUNCT
ejpam-4416	120	1	.................	.................	PUNCT
ejpam-4416	120	2	................	................	PUNCT
ejpam-4416	121	1	................	................	PUNCT
ejpam-4416	121	2	................	................	PUNCT
ejpam-4416	122	1	................	................	PUNCT
ejpam-4416	122	2	................	................	PUNCT
ejpam-4416	122	3	......	......	PUNCT
ejpam-4416	122	4	....................................	....................................	PUNCT
ejpam-4416	122	5	.........	.........	PUNCT
ejpam-4416	122	6	........	........	PUNCT
ejpam-4416	122	7	........	........	PUNCT
ejpam-4416	122	8	........	........	PUNCT
ejpam-4416	122	9	........	........	PUNCT
ejpam-4416	122	10	........	........	PUNCT
ejpam-4416	123	1	....	....	PUNCT
ejpam-4416	123	2	....................................	....................................	PUNCT
ejpam-4416	123	3	.......................................................................................	.......................................................................................	PUNCT
ejpam-4416	124	1	....................................	....................................	PUNCT
ejpam-4416	124	2	....................................	....................................	PUNCT
ejpam-4416	125	1	γc11	γc11	PROPN
ejpam-4416	125	2	:	:	PUNCT
ejpam-4416	125	3	e	e	PROPN
ejpam-4416	125	4	g	g	PROPN
ejpam-4416	125	5	g10	g10	PROPN
ejpam-4416	125	6	g2	g2	PROPN
ejpam-4416	125	7	g9g3	g9g3	PROPN
ejpam-4416	125	8	g8	g8	PROPN
ejpam-4416	125	9	g4	g4	PROPN
ejpam-4416	125	10	g7	g7	PROPN
ejpam-4416	125	11	g5	g5	PROPN
ejpam-4416	125	12	g6	g6	ADJ
ejpam-4416	125	13	lemma	lemma	PROPN
ejpam-4416	125	14	1	1	X
ejpam-4416	125	15	.	.	PUNCT
ejpam-4416	126	1	[	[	X
ejpam-4416	126	2	9	9	NUM
ejpam-4416	126	3	]	]	PUNCT
ejpam-4416	126	4	for	for	ADP
ejpam-4416	126	5	a	a	DET
ejpam-4416	126	6	group	group	NOUN
ejpam-4416	126	7	g	g	NOUN
ejpam-4416	126	8	of	of	ADP
ejpam-4416	126	9	order	order	NOUN
ejpam-4416	126	10	n	n	CCONJ
ejpam-4416	126	11	,	,	PUNCT
ejpam-4416	126	12	we	we	PRON
ejpam-4416	126	13	have	have	VERB
ejpam-4416	126	14	line(g	line(g	VERB
ejpam-4416	126	15	)	)	PUNCT
ejpam-4416	127	1	+	+	CCONJ
ejpam-4416	127	2	2tri(g	2tri(g	NOUN
ejpam-4416	127	3	)	)	PUNCT
ejpam-4416	128	1	=	=	PUNCT
ejpam-4416	128	2	n−	n−	NOUN
ejpam-4416	128	3	1	1	NUM
ejpam-4416	128	4	.	.	PUNCT
ejpam-4416	128	5	corollary	corollary	ADJ
ejpam-4416	128	6	1	1	NUM
ejpam-4416	128	7	.	.	PUNCT
ejpam-4416	129	1	[	[	X
ejpam-4416	129	2	4	4	X
ejpam-4416	129	3	]	]	X
ejpam-4416	129	4	if	if	SCONJ
ejpam-4416	129	5	g	g	PROPN
ejpam-4416	129	6	is	be	AUX
ejpam-4416	129	7	a	a	DET
ejpam-4416	129	8	cyclic	cyclic	ADJ
ejpam-4416	129	9	group	group	NOUN
ejpam-4416	129	10	of	of	ADP
ejpam-4416	129	11	odd	odd	ADJ
ejpam-4416	129	12	order	order	NOUN
ejpam-4416	129	13	,	,	PUNCT
ejpam-4416	129	14	then	then	ADV
ejpam-4416	129	15	g	g	PROPN
ejpam-4416	129	16	has	have	VERB
ejpam-4416	129	17	the	the	DET
ejpam-4416	129	18	identity	identity	NOUN
ejpam-4416	129	19	graph	graph	NOUN
ejpam-4416	129	20	γg	γg	ADV
ejpam-4416	129	21	which	which	PRON
ejpam-4416	129	22	is	be	AUX
ejpam-4416	129	23	formed	form	VERB
ejpam-4416	129	24	only	only	ADV
ejpam-4416	129	25	by	by	ADP
ejpam-4416	129	26	triangles	triangle	NOUN
ejpam-4416	129	27	with	with	ADP
ejpam-4416	129	28	no	no	DET
ejpam-4416	129	29	lines	line	NOUN
ejpam-4416	129	30	.	.	PUNCT
ejpam-4416	130	1	c.	c.	PROPN
ejpam-4416	130	2	alib	alib	PROPN
ejpam-4416	130	3	,	,	PUNCT
ejpam-4416	130	4	d.	d.	PROPN
ejpam-4416	130	5	magpantay	magpantay	PROPN
ejpam-4416	130	6	/	/	SYM
ejpam-4416	130	7	eur	eur	PROPN
ejpam-4416	130	8	.	.	PUNCT
ejpam-4416	131	1	j.	j.	PROPN
ejpam-4416	131	2	pure	pure	PROPN
ejpam-4416	131	3	appl	appl	PROPN
ejpam-4416	131	4	.	.	PROPN
ejpam-4416	131	5	math	math	PROPN
ejpam-4416	131	6	,	,	PUNCT
ejpam-4416	131	7	15	15	NUM
ejpam-4416	131	8	(	(	PUNCT
ejpam-4416	131	9	3	3	NUM
ejpam-4416	131	10	)	)	PUNCT
ejpam-4416	131	11	(	(	PUNCT
ejpam-4416	131	12	2022	2022	NUM
ejpam-4416	131	13	)	)	PUNCT
ejpam-4416	131	14	,	,	PUNCT
ejpam-4416	131	15	1098	1098	NUM
ejpam-4416	131	16	-	-	SYM
ejpam-4416	131	17	1112	1112	NUM
ejpam-4416	131	18	1101	1101	NUM
ejpam-4416	131	19	....................................	....................................	PUNCT
ejpam-4416	131	20	....................................	....................................	PUNCT
ejpam-4416	132	1	....................................	....................................	PUNCT
ejpam-4416	132	2	....................................	....................................	PUNCT
ejpam-4416	133	1	....................................	....................................	PUNCT
ejpam-4416	133	2	....................................	....................................	PUNCT
ejpam-4416	134	1	........................................................................	........................................................................	PUNCT
ejpam-4416	134	2	....................................	....................................	PUNCT
ejpam-4416	135	1	....................................	....................................	PUNCT
ejpam-4416	135	2	....................................	....................................	PUNCT
ejpam-4416	136	1	....................................	....................................	PUNCT
ejpam-4416	136	2	....................................	....................................	PUNCT
ejpam-4416	137	1	....................................	....................................	PUNCT
ejpam-4416	137	2	γc6	γc6	X
ejpam-4416	137	3	:	:	PUNCT
ejpam-4416	138	1	e	e	X
ejpam-4416	138	2	g	g	PROPN
ejpam-4416	138	3	g5	g5	PROPN
ejpam-4416	138	4	g2	g2	PROPN
ejpam-4416	138	5	g4	g4	PROPN
ejpam-4416	138	6	g3	g3	PROPN
ejpam-4416	138	7	..............	..............	PUNCT
ejpam-4416	138	8	.............	.............	PUNCT
ejpam-4416	138	9	.............	.............	PUNCT
ejpam-4416	138	10	.............	.............	PUNCT
ejpam-4416	138	11	.............	.............	PUNCT
ejpam-4416	138	12	.............	.............	PUNCT
ejpam-4416	138	13	.............	.............	PUNCT
ejpam-4416	138	14	.............	.............	PUNCT
ejpam-4416	138	15	.............	.............	PUNCT
ejpam-4416	138	16	.............	.............	PUNCT
ejpam-4416	138	17	..	..	PUNCT
ejpam-4416	138	18	....	....	PUNCT
ejpam-4416	138	19	................................	................................	PUNCT
ejpam-4416	138	20	................................................................................................................	................................................................................................................	PUNCT
ejpam-4416	139	1	..........	..........	PUNCT
ejpam-4416	139	2	.........	.........	PUNCT
ejpam-4416	140	1	.........	.........	PUNCT
ejpam-4416	140	2	.........	.........	PUNCT
ejpam-4416	141	1	.........	.........	PUNCT
ejpam-4416	141	2	.........	.........	PUNCT
ejpam-4416	142	1	.........	.........	PUNCT
ejpam-4416	142	2	.........	.........	PUNCT
ejpam-4416	142	3	.......	.......	PUNCT
ejpam-4416	142	4	....................................	....................................	PUNCT
ejpam-4416	142	5	....................................................................................................................	....................................................................................................................	PUNCT
ejpam-4416	143	1	....................................	....................................	PUNCT
ejpam-4416	143	2	................................................................................................................	................................................................................................................	PUNCT
ejpam-4416	144	1	.....................................................................................................................................	.....................................................................................................................................	PUNCT
ejpam-4416	144	2	....................................	....................................	PUNCT
ejpam-4416	145	1	....................................	....................................	PUNCT
ejpam-4416	145	2	.........	.........	PUNCT
ejpam-4416	145	3	........	........	PUNCT
ejpam-4416	145	4	........	........	PUNCT
ejpam-4416	145	5	........	........	PUNCT
ejpam-4416	145	6	........	........	PUNCT
ejpam-4416	145	7	........	........	PUNCT
ejpam-4416	146	1	........	........	PUNCT
ejpam-4416	146	2	.....	.....	PUNCT
ejpam-4416	147	1	................................................................	................................................................	PUNCT
ejpam-4416	147	2	..................	..................	PUNCT
ejpam-4416	148	1	....................................	....................................	PUNCT
ejpam-4416	148	2	......................................................	......................................................	PUNCT
ejpam-4416	149	1	....................................	....................................	PUNCT
ejpam-4416	149	2	............	............	PUNCT
ejpam-4416	149	3	...........	...........	PUNCT
ejpam-4416	149	4	...........	...........	PUNCT
ejpam-4416	149	5	...........	...........	PUNCT
ejpam-4416	149	6	...........	...........	PUNCT
ejpam-4416	149	7	...........	...........	PUNCT
ejpam-4416	149	8	......	......	PUNCT
ejpam-4416	149	9	....................................	....................................	PUNCT
ejpam-4416	149	10	.......................................................................................................	.......................................................................................................	PUNCT
ejpam-4416	149	11	....................................	....................................	PUNCT
ejpam-4416	150	1	..............	..............	PUNCT
ejpam-4416	150	2	.............	.............	PUNCT
ejpam-4416	150	3	.............	.............	PUNCT
ejpam-4416	150	4	.............	.............	PUNCT
ejpam-4416	151	1	....	....	PUNCT
ejpam-4416	151	2	....................................	....................................	PUNCT
ejpam-4416	151	3	................................................................................................	................................................................................................	PUNCT
ejpam-4416	152	1	....................................	....................................	PUNCT
ejpam-4416	152	2	....................................	....................................	PUNCT
ejpam-4416	153	1	...............................................................	...............................................................	PUNCT
ejpam-4416	153	2	....................................	....................................	PUNCT
ejpam-4416	153	3	.............................................................................................................	.............................................................................................................	PUNCT
ejpam-4416	154	1	...........	...........	PUNCT
ejpam-4416	154	2	..........	..........	PUNCT
ejpam-4416	155	1	..........	..........	PUNCT
ejpam-4416	155	2	..........	..........	PUNCT
ejpam-4416	156	1	..........	..........	PUNCT
ejpam-4416	156	2	.......	.......	PUNCT
ejpam-4416	157	1	....................................	....................................	PUNCT
ejpam-4416	157	2	....................................	....................................	PUNCT
ejpam-4416	158	1	................	................	PUNCT
ejpam-4416	158	2	...............	...............	PUNCT
ejpam-4416	158	3	...............	...............	PUNCT
ejpam-4416	158	4	...............	...............	PUNCT
ejpam-4416	158	5	...............	...............	PUNCT
ejpam-4416	158	6	...............	...............	PUNCT
ejpam-4416	158	7	...............	...............	PUNCT
ejpam-4416	158	8	...............	...............	PUNCT
ejpam-4416	158	9	...............	...............	PUNCT
ejpam-4416	158	10	...............	...............	PUNCT
ejpam-4416	158	11	.	.	PUNCT
ejpam-4416	159	1	γc8	γc8	NOUN
ejpam-4416	159	2	:	:	PUNCT
ejpam-4416	160	1	e	e	X
ejpam-4416	160	2	g	g	PROPN
ejpam-4416	160	3	g7g2	g7g2	PART
ejpam-4416	160	4	g6	g6	PROPN
ejpam-4416	160	5	g3	g3	NOUN
ejpam-4416	160	6	g5	g5	NOUN
ejpam-4416	160	7	g4	g4	NOUN
ejpam-4416	160	8	....................................	....................................	PUNCT
ejpam-4416	160	9	....................................	....................................	PUNCT
ejpam-4416	160	10	....................................	....................................	PUNCT
ejpam-4416	160	11	....................................	....................................	PUNCT
ejpam-4416	160	12	....................................	....................................	PUNCT
ejpam-4416	160	13	....................................	....................................	PUNCT
ejpam-4416	160	14	....................................	....................................	PUNCT
ejpam-4416	160	15	....................................	....................................	PUNCT
ejpam-4416	160	16	....................................	....................................	PUNCT
ejpam-4416	160	17	....................................	....................................	PUNCT
ejpam-4416	160	18	......................................................................................	......................................................................................	PUNCT
ejpam-4416	160	19	....................................	....................................	PUNCT
ejpam-4416	161	1	..................................................................................................	..................................................................................................	PUNCT
ejpam-4416	161	2	..........	..........	PUNCT
ejpam-4416	162	1	.........	.........	PUNCT
ejpam-4416	162	2	.........	.........	PUNCT
ejpam-4416	163	1	.........	.........	PUNCT
ejpam-4416	163	2	.........	.........	PUNCT
ejpam-4416	164	1	.........	.........	PUNCT
ejpam-4416	164	2	.........	.........	PUNCT
ejpam-4416	165	1	.........	.........	PUNCT
ejpam-4416	165	2	.......	.......	PUNCT
ejpam-4416	165	3	....................................	....................................	PUNCT
ejpam-4416	166	1	....................................	....................................	PUNCT
ejpam-4416	166	2	..........................................................................................................	..........................................................................................................	PUNCT
ejpam-4416	167	1	....................................	....................................	PUNCT
ejpam-4416	167	2	.........	.........	PUNCT
ejpam-4416	167	3	........	........	PUNCT
ejpam-4416	167	4	........	........	PUNCT
ejpam-4416	167	5	........	........	PUNCT
ejpam-4416	167	6	........	........	PUNCT
ejpam-4416	167	7	........	........	PUNCT
ejpam-4416	168	1	........	........	PUNCT
ejpam-4416	168	2	.....	.....	PUNCT
ejpam-4416	169	1	....................................	....................................	PUNCT
ejpam-4416	169	2	..............................	..............................	PUNCT
ejpam-4416	169	3	.............................	.............................	PUNCT
ejpam-4416	169	4	.............................	.............................	PUNCT
ejpam-4416	170	1	..................	..................	PUNCT
ejpam-4416	170	2	....................................	....................................	PUNCT
ejpam-4416	171	1	....................................	....................................	PUNCT
ejpam-4416	171	2	..........	..........	PUNCT
ejpam-4416	172	1	.........	.........	PUNCT
ejpam-4416	172	2	.........	.........	PUNCT
ejpam-4416	173	1	.........	.........	PUNCT
ejpam-4416	173	2	.........	.........	PUNCT
ejpam-4416	174	1	.........	.........	PUNCT
ejpam-4416	174	2	.........	.........	PUNCT
ejpam-4416	175	1	.........	.........	PUNCT
ejpam-4416	175	2	.......	.......	PUNCT
ejpam-4416	175	3	....................................	....................................	PUNCT
ejpam-4416	176	1	.........................................................................................	.........................................................................................	PUNCT
ejpam-4416	176	2	..............................................................................	..............................................................................	PUNCT
ejpam-4416	176	3	....................................	....................................	PUNCT
ejpam-4416	177	1	........................................................................................................................................	........................................................................................................................................	PUNCT
ejpam-4416	177	2	....................................	....................................	PUNCT
ejpam-4416	177	3	.........	.........	PUNCT
ejpam-4416	177	4	........	........	PUNCT
ejpam-4416	177	5	........	........	PUNCT
ejpam-4416	177	6	........	........	PUNCT
ejpam-4416	177	7	........	........	PUNCT
ejpam-4416	177	8	........	........	PUNCT
ejpam-4416	178	1	........	........	PUNCT
ejpam-4416	178	2	.....	.....	PUNCT
ejpam-4416	179	1	....................................	....................................	PUNCT
ejpam-4416	179	2	.......................	.......................	PUNCT
ejpam-4416	180	1	......................	......................	PUNCT
ejpam-4416	180	2	......................	......................	PUNCT
ejpam-4416	180	3	......................	......................	PUNCT
ejpam-4416	181	1	..............	..............	PUNCT
ejpam-4416	181	2	....................................	....................................	PUNCT
ejpam-4416	182	1	....................................	....................................	PUNCT
ejpam-4416	182	2	.............	.............	PUNCT
ejpam-4416	182	3	............	............	PUNCT
ejpam-4416	182	4	............	............	PUNCT
ejpam-4416	182	5	............	............	PUNCT
ejpam-4416	182	6	............	............	PUNCT
ejpam-4416	182	7	............	............	PUNCT
ejpam-4416	182	8	............	............	PUNCT
ejpam-4416	182	9	............	............	PUNCT
ejpam-4416	182	10	............	............	PUNCT
ejpam-4416	182	11	............	............	PUNCT
ejpam-4416	182	12	............	............	PUNCT
ejpam-4416	182	13	............	............	PUNCT
ejpam-4416	182	14	............	............	PUNCT
ejpam-4416	182	15	............	............	PUNCT
ejpam-4416	182	16	............	............	PUNCT
ejpam-4416	182	17	..	..	PUNCT
ejpam-4416	183	1	γc10	γc10	PROPN
ejpam-4416	183	2	:	:	PUNCT
ejpam-4416	183	3	e	e	X
ejpam-4416	183	4	g	g	PROPN
ejpam-4416	183	5	g9	g9	PROPN
ejpam-4416	183	6	g2g8	g2g8	X
ejpam-4416	183	7	g3	g3	PROPN
ejpam-4416	183	8	g7	g7	PROPN
ejpam-4416	183	9	g4g6	g4g6	VERB
ejpam-4416	183	10	g5	g5	PROPN
ejpam-4416	183	11	....................................	....................................	PUNCT
ejpam-4416	183	12	....................................	....................................	PUNCT
ejpam-4416	183	13	....................................	....................................	PUNCT
ejpam-4416	183	14	....................................	....................................	PUNCT
ejpam-4416	183	15	....................................	....................................	PUNCT
ejpam-4416	183	16	....................................	....................................	PUNCT
ejpam-4416	183	17	....................................	....................................	PUNCT
ejpam-4416	183	18	....................................	....................................	PUNCT
ejpam-4416	183	19	....................................	....................................	PUNCT
ejpam-4416	183	20	....................................	....................................	PUNCT
ejpam-4416	183	21	....................................	....................................	PUNCT
ejpam-4416	183	22	....................................	....................................	PUNCT
ejpam-4416	183	23	............................................................................................	............................................................................................	PUNCT
ejpam-4416	183	24	....................................	....................................	PUNCT
ejpam-4416	183	25	......................................................................................................................	......................................................................................................................	PUNCT
ejpam-4416	183	26	..........	..........	PUNCT
ejpam-4416	183	27	.........	.........	PUNCT
ejpam-4416	183	28	.........	.........	PUNCT
ejpam-4416	183	29	.........	.........	PUNCT
ejpam-4416	183	30	.........	.........	PUNCT
ejpam-4416	183	31	.........	.........	PUNCT
ejpam-4416	183	32	.........	.........	PUNCT
ejpam-4416	183	33	.........	.........	PUNCT
ejpam-4416	183	34	.........	.........	PUNCT
ejpam-4416	183	35	..	..	PUNCT
ejpam-4416	183	36	..	..	PUNCT
ejpam-4416	183	37	..................................	..................................	PUNCT
ejpam-4416	183	38	....................................	....................................	PUNCT
ejpam-4416	183	39	.........................................................................................................	.........................................................................................................	PUNCT
ejpam-4416	183	40	.............................................	.............................................	PUNCT
ejpam-4416	183	41	........	........	PUNCT
ejpam-4416	183	42	........	........	PUNCT
ejpam-4416	183	43	........	........	PUNCT
ejpam-4416	183	44	........	........	PUNCT
ejpam-4416	183	45	........	........	PUNCT
ejpam-4416	183	46	.......	.......	PUNCT
ejpam-4416	183	47	....................................	....................................	PUNCT
ejpam-4416	183	48	...............................................................................................................................	...............................................................................................................................	PUNCT
ejpam-4416	183	49	....................................	....................................	PUNCT
ejpam-4416	183	50	.................	.................	PUNCT
ejpam-4416	184	1	................	................	PUNCT
ejpam-4416	184	2	................	................	PUNCT
ejpam-4416	185	1	................	................	PUNCT
ejpam-4416	185	2	................	................	PUNCT
ejpam-4416	186	1	.....	.....	PUNCT
ejpam-4416	186	2	...	...	PUNCT
ejpam-4416	186	3	.................................	.................................	PUNCT
ejpam-4416	186	4	........................................................	........................................................	PUNCT
ejpam-4416	187	1	....................................	....................................	PUNCT
ejpam-4416	187	2	..........	..........	PUNCT
ejpam-4416	188	1	.........	.........	PUNCT
ejpam-4416	188	2	.........	.........	PUNCT
ejpam-4416	189	1	.........	.........	PUNCT
ejpam-4416	189	2	.........	.........	PUNCT
ejpam-4416	190	1	.........	.........	PUNCT
ejpam-4416	190	2	.........	.........	PUNCT
ejpam-4416	190	3	.........	.........	PUNCT
ejpam-4416	190	4	.......	.......	PUNCT
ejpam-4416	190	5	....................................	....................................	PUNCT
ejpam-4416	190	6	..................................................................................................................	..................................................................................................................	PUNCT
ejpam-4416	190	7	....................................	....................................	PUNCT
ejpam-4416	190	8	...............	...............	PUNCT
ejpam-4416	191	1	..............	..............	PUNCT
ejpam-4416	191	2	..............	..............	PUNCT
ejpam-4416	192	1	..............	..............	PUNCT
ejpam-4416	192	2	.......	.......	PUNCT
ejpam-4416	192	3	....................................	....................................	PUNCT
ejpam-4416	192	4	.................................................................................	.................................................................................	PUNCT
ejpam-4416	193	1	....................................	....................................	PUNCT
ejpam-4416	193	2	....................................	....................................	PUNCT
ejpam-4416	194	1	.................	.................	PUNCT
ejpam-4416	194	2	................	................	PUNCT
ejpam-4416	195	1	................	................	PUNCT
ejpam-4416	195	2	................	................	PUNCT
ejpam-4416	196	1	................	................	PUNCT
ejpam-4416	196	2	................	................	PUNCT
ejpam-4416	196	3	......	......	PUNCT
ejpam-4416	196	4	....................................	....................................	PUNCT
ejpam-4416	196	5	.........	.........	PUNCT
ejpam-4416	196	6	........	........	PUNCT
ejpam-4416	196	7	........	........	PUNCT
ejpam-4416	196	8	........	........	PUNCT
ejpam-4416	196	9	........	........	PUNCT
ejpam-4416	196	10	........	........	PUNCT
ejpam-4416	197	1	....	....	PUNCT
ejpam-4416	197	2	....................................	....................................	PUNCT
ejpam-4416	197	3	.......................................................................................	.......................................................................................	PUNCT
ejpam-4416	198	1	....................................	....................................	PUNCT
ejpam-4416	198	2	....................................	....................................	PUNCT
ejpam-4416	198	3	.............	.............	PUNCT
ejpam-4416	198	4	............	............	PUNCT
ejpam-4416	198	5	............	............	PUNCT
ejpam-4416	198	6	............	............	PUNCT
ejpam-4416	198	7	............	............	PUNCT
ejpam-4416	198	8	............	............	PUNCT
ejpam-4416	198	9	............	............	PUNCT
ejpam-4416	198	10	............	............	PUNCT
ejpam-4416	198	11	............	............	PUNCT
ejpam-4416	198	12	............	............	PUNCT
ejpam-4416	198	13	............	............	PUNCT
ejpam-4416	198	14	............	............	PUNCT
ejpam-4416	198	15	............	............	PUNCT
ejpam-4416	198	16	............	............	PUNCT
ejpam-4416	198	17	............	............	PUNCT
ejpam-4416	199	1	..	..	PUNCT
ejpam-4416	200	1	γc12	γc12	PROPN
ejpam-4416	200	2	:	:	PUNCT
ejpam-4416	200	3	e	e	X
ejpam-4416	200	4	g	g	PROPN
ejpam-4416	200	5	g11	g11	PROPN
ejpam-4416	200	6	g2	g2	PROPN
ejpam-4416	200	7	g10g3	g10g3	PROPN
ejpam-4416	200	8	g9	g9	PROPN
ejpam-4416	200	9	g4	g4	PROPN
ejpam-4416	200	10	g8	g8	PROPN
ejpam-4416	200	11	g5	g5	PROPN
ejpam-4416	200	12	g7	g7	PROPN
ejpam-4416	200	13	g6	g6	ADJ
ejpam-4416	200	14	figure	figure	NOUN
ejpam-4416	200	15	1	1	NUM
ejpam-4416	200	16	:	:	PUNCT
ejpam-4416	200	17	the	the	DET
ejpam-4416	200	18	identity	identity	NOUN
ejpam-4416	200	19	graphs	graph	NOUN
ejpam-4416	200	20	of	of	ADP
ejpam-4416	200	21	cyclic	cyclic	ADJ
ejpam-4416	200	22	groups	group	NOUN
ejpam-4416	200	23	c5	c5	PROPN
ejpam-4416	200	24	,	,	PUNCT
ejpam-4416	200	25	c6	c6	PROPN
ejpam-4416	200	26	c7	c7	PROPN
ejpam-4416	200	27	,	,	PUNCT
ejpam-4416	200	28	c8	c8	PROPN
ejpam-4416	200	29	c9	c9	PROPN
ejpam-4416	200	30	,	,	PUNCT
ejpam-4416	200	31	c10	c10	PROPN
ejpam-4416	200	32	,	,	PUNCT
ejpam-4416	200	33	c11	c11	NOUN
ejpam-4416	200	34	,	,	PUNCT
ejpam-4416	200	35	and	and	CCONJ
ejpam-4416	200	36	c12	c12	PROPN
ejpam-4416	200	37	.	.	PUNCT
ejpam-4416	201	1	theorem	theorem	VERB
ejpam-4416	201	2	1	1	NUM
ejpam-4416	201	3	.	.	PUNCT
ejpam-4416	202	1	[	[	X
ejpam-4416	202	2	6	6	X
ejpam-4416	202	3	]	]	X
ejpam-4416	202	4	if	if	SCONJ
ejpam-4416	202	5	cn	cn	PROPN
ejpam-4416	202	6	is	be	AUX
ejpam-4416	202	7	a	a	DET
ejpam-4416	202	8	cyclic	cyclic	ADJ
ejpam-4416	202	9	group	group	NOUN
ejpam-4416	202	10	of	of	ADP
ejpam-4416	202	11	order	order	NOUN
ejpam-4416	202	12	n	n	PRON
ejpam-4416	202	13	(	(	PUNCT
ejpam-4416	202	14	n	n	X
ejpam-4416	202	15	is	be	AUX
ejpam-4416	202	16	odd	odd	ADJ
ejpam-4416	202	17	)	)	PUNCT
ejpam-4416	202	18	,	,	PUNCT
ejpam-4416	202	19	then	then	ADV
ejpam-4416	202	20	the	the	DET
ejpam-4416	202	21	identity	identity	NOUN
ejpam-4416	202	22	graph	graph	NOUN
ejpam-4416	202	23	γcn	γcn	NOUN
ejpam-4416	202	24	of	of	ADP
ejpam-4416	202	25	cn	cn	PROPN
ejpam-4416	202	26	is	be	AUX
ejpam-4416	202	27	formed	form	VERB
ejpam-4416	202	28	by	by	ADP
ejpam-4416	202	29	n−1	n−1	PROPN
ejpam-4416	202	30	2	2	NUM
ejpam-4416	202	31	triangles	triangle	NOUN
ejpam-4416	202	32	.	.	PUNCT
ejpam-4416	203	1	theorem	theorem	NOUN
ejpam-4416	203	2	2	2	NUM
ejpam-4416	203	3	.	.	PUNCT
ejpam-4416	204	1	[	[	X
ejpam-4416	204	2	6	6	X
ejpam-4416	204	3	]	]	X
ejpam-4416	204	4	if	if	SCONJ
ejpam-4416	204	5	cn	cn	PROPN
ejpam-4416	204	6	is	be	AUX
ejpam-4416	204	7	a	a	DET
ejpam-4416	204	8	cyclic	cyclic	ADJ
ejpam-4416	204	9	group	group	NOUN
ejpam-4416	204	10	of	of	ADP
ejpam-4416	204	11	order	order	NOUN
ejpam-4416	204	12	n	n	PRON
ejpam-4416	204	13	(	(	PUNCT
ejpam-4416	204	14	n	n	X
ejpam-4416	204	15	is	be	AUX
ejpam-4416	204	16	even	even	ADV
ejpam-4416	204	17	)	)	PUNCT
ejpam-4416	204	18	,	,	PUNCT
ejpam-4416	204	19	then	then	ADV
ejpam-4416	204	20	the	the	DET
ejpam-4416	204	21	identity	identity	NOUN
ejpam-4416	204	22	graph	graph	NOUN
ejpam-4416	204	23	γcn	γcn	NOUN
ejpam-4416	204	24	of	of	ADP
ejpam-4416	204	25	cn	cn	PROPN
ejpam-4416	204	26	is	be	AUX
ejpam-4416	204	27	formed	form	VERB
ejpam-4416	204	28	by	by	ADP
ejpam-4416	204	29	n−2	n−2	PROPN
ejpam-4416	204	30	2	2	NUM
ejpam-4416	204	31	triangles	triangle	NOUN
ejpam-4416	204	32	and	and	CCONJ
ejpam-4416	204	33	a	a	DET
ejpam-4416	204	34	line	line	NOUN
ejpam-4416	204	35	.	.	PUNCT
ejpam-4416	205	1	theorem	theorem	NOUN
ejpam-4416	205	2	3	3	NUM
ejpam-4416	205	3	.	.	PUNCT
ejpam-4416	206	1	[	[	X
ejpam-4416	206	2	9	9	NUM
ejpam-4416	206	3	]	]	PUNCT
ejpam-4416	206	4	for	for	ADP
ejpam-4416	206	5	a	a	DET
ejpam-4416	206	6	cyclic	cyclic	ADJ
ejpam-4416	206	7	group	group	NOUN
ejpam-4416	206	8	cn	cn	NOUN
ejpam-4416	206	9	of	of	ADP
ejpam-4416	206	10	order	order	NOUN
ejpam-4416	206	11	n	n	CCONJ
ejpam-4416	206	12	,	,	PUNCT
ejpam-4416	206	13	we	we	PRON
ejpam-4416	206	14	have	have	VERB
ejpam-4416	206	15	line(cn	line(cn	NOUN
ejpam-4416	206	16	)	)	PUNCT
ejpam-4416	206	17	=	=	PUNCT
ejpam-4416	206	18	{	{	PUNCT
ejpam-4416	206	19	0	0	NUM
ejpam-4416	206	20	,	,	PUNCT
ejpam-4416	206	21	n	n	NOUN
ejpam-4416	206	22	=	=	SYM
ejpam-4416	206	23	2k	2k	NUM
ejpam-4416	206	24	+	+	CCONJ
ejpam-4416	206	25	1	1	NUM
ejpam-4416	206	26	1	1	NUM
ejpam-4416	206	27	,	,	PUNCT
ejpam-4416	206	28	n	n	NOUN
ejpam-4416	206	29	=	=	SYM
ejpam-4416	206	30	2k	2k	NOUN
ejpam-4416	206	31	+	+	CCONJ
ejpam-4416	206	32	2	2	NUM
ejpam-4416	206	33	and	and	CCONJ
ejpam-4416	206	34	tri(cn	tri(cn	NOUN
ejpam-4416	206	35	)	)	PUNCT
ejpam-4416	207	1	=	=	PRON
ejpam-4416	207	2	{	{	PUNCT
ejpam-4416	207	3	n−1	n−1	PROPN
ejpam-4416	207	4	2	2	NUM
ejpam-4416	207	5	,	,	PUNCT
ejpam-4416	207	6	n	n	NOUN
ejpam-4416	207	7	=	=	SYM
ejpam-4416	207	8	2k	2k	NUM
ejpam-4416	207	9	+	+	CCONJ
ejpam-4416	207	10	1	1	NUM
ejpam-4416	207	11	n−2	n−2	PROPN
ejpam-4416	207	12	2	2	NUM
ejpam-4416	207	13	,	,	PUNCT
ejpam-4416	207	14	n	n	NOUN
ejpam-4416	207	15	=	=	SYM
ejpam-4416	207	16	2k	2k	NUM
ejpam-4416	207	17	+	+	CCONJ
ejpam-4416	207	18	2	2	X
ejpam-4416	207	19	.	.	X
ejpam-4416	207	20	theorem	theorem	NOUN
ejpam-4416	207	21	4	4	NUM
ejpam-4416	207	22	.	.	PUNCT
ejpam-4416	208	1	[	[	X
ejpam-4416	208	2	3	3	NUM
ejpam-4416	208	3	]	]	PUNCT
ejpam-4416	208	4	,	,	PUNCT
ejpam-4416	208	5	[	[	X
ejpam-4416	208	6	5	5	NUM
ejpam-4416	208	7	]	]	PUNCT
ejpam-4416	208	8	let	let	VERB
ejpam-4416	208	9	cn	cn	PROPN
ejpam-4416	208	10	be	be	AUX
ejpam-4416	208	11	the	the	DET
ejpam-4416	208	12	cyclic	cyclic	ADJ
ejpam-4416	208	13	group	group	NOUN
ejpam-4416	208	14	of	of	ADP
ejpam-4416	208	15	order	order	NOUN
ejpam-4416	208	16	n	n	NOUN
ejpam-4416	208	17	and	and	CCONJ
ejpam-4416	208	18	γcn	γcn	PROPN
ejpam-4416	208	19	be	be	VERB
ejpam-4416	208	20	the	the	DET
ejpam-4416	208	21	identity	identity	NOUN
ejpam-4416	208	22	graph	graph	NOUN
ejpam-4416	208	23	associated	associate	VERB
ejpam-4416	208	24	with	with	ADP
ejpam-4416	208	25	cn	cn	PROPN
ejpam-4416	208	26	.	.	PUNCT
ejpam-4416	209	1	the	the	DET
ejpam-4416	209	2	size	size	NOUN
ejpam-4416	209	3	of	of	ADP
ejpam-4416	209	4	γcn	γcn	PROPN
ejpam-4416	209	5	is	be	AUX
ejpam-4416	209	6	|e(γcn)|	|e(γcn)|	NOUN
ejpam-4416	210	1	=	=	PUNCT
ejpam-4416	210	2	{	{	PUNCT
ejpam-4416	210	3	3n−3	3n−3	NUM
ejpam-4416	210	4	2	2	NUM
ejpam-4416	210	5	,	,	PUNCT
ejpam-4416	210	6	n	n	X
ejpam-4416	210	7	is	be	AUX
ejpam-4416	210	8	odd	odd	ADJ
ejpam-4416	210	9	,	,	PUNCT
ejpam-4416	210	10	3n−4	3n−4	NOUN
ejpam-4416	210	11	2	2	NUM
ejpam-4416	210	12	,	,	PUNCT
ejpam-4416	210	13	n	n	PRON
ejpam-4416	210	14	is	be	AUX
ejpam-4416	210	15	even	even	ADV
ejpam-4416	210	16	.	.	PUNCT
ejpam-4416	211	1	lemma	lemma	PROPN
ejpam-4416	211	2	2	2	NUM
ejpam-4416	211	3	.	.	PUNCT
ejpam-4416	211	4	(	(	PUNCT
ejpam-4416	211	5	handshaking	handshake	VERB
ejpam-4416	211	6	lemma	lemma	PROPN
ejpam-4416	211	7	)	)	PUNCT
ejpam-4416	211	8	in	in	ADP
ejpam-4416	211	9	a	a	DET
ejpam-4416	211	10	graph	graph	NOUN
ejpam-4416	211	11	g	g	NOUN
ejpam-4416	211	12	,	,	PUNCT
ejpam-4416	211	13	we	we	PRON
ejpam-4416	211	14	have∑	have∑	VERB
ejpam-4416	211	15	x∈v	x∈v	PROPN
ejpam-4416	211	16	(	(	PUNCT
ejpam-4416	211	17	g	g	NOUN
ejpam-4416	211	18	)	)	PUNCT
ejpam-4416	211	19	deg(x	deg(x	PROPN
ejpam-4416	211	20	)	)	PUNCT
ejpam-4416	212	1	=	=	NOUN
ejpam-4416	212	2	2|e|	2|e|	NUM
ejpam-4416	212	3	where	where	SCONJ
ejpam-4416	212	4	|e|	|e|	PRON
ejpam-4416	212	5	is	be	AUX
ejpam-4416	212	6	the	the	DET
ejpam-4416	212	7	total	total	ADJ
ejpam-4416	212	8	number	number	NOUN
ejpam-4416	212	9	of	of	ADP
ejpam-4416	212	10	edges	edge	NOUN
ejpam-4416	212	11	.	.	PUNCT
ejpam-4416	213	1	c.	c.	PROPN
ejpam-4416	213	2	alib	alib	PROPN
ejpam-4416	213	3	,	,	PUNCT
ejpam-4416	213	4	d.	d.	PROPN
ejpam-4416	213	5	magpantay	magpantay	PROPN
ejpam-4416	213	6	/	/	SYM
ejpam-4416	213	7	eur	eur	PROPN
ejpam-4416	213	8	.	.	PUNCT
ejpam-4416	214	1	j.	j.	PROPN
ejpam-4416	214	2	pure	pure	PROPN
ejpam-4416	214	3	appl	appl	PROPN
ejpam-4416	214	4	.	.	PROPN
ejpam-4416	214	5	math	math	PROPN
ejpam-4416	214	6	,	,	PUNCT
ejpam-4416	214	7	15	15	NUM
ejpam-4416	214	8	(	(	PUNCT
ejpam-4416	214	9	3	3	NUM
ejpam-4416	214	10	)	)	PUNCT
ejpam-4416	214	11	(	(	PUNCT
ejpam-4416	214	12	2022	2022	NUM
ejpam-4416	214	13	)	)	PUNCT
ejpam-4416	214	14	,	,	PUNCT
ejpam-4416	214	15	1098	1098	NUM
ejpam-4416	214	16	-	-	SYM
ejpam-4416	214	17	1112	1112	NUM
ejpam-4416	214	18	1102	1102	NUM
ejpam-4416	214	19	the	the	DET
ejpam-4416	214	20	distance	distance	NOUN
ejpam-4416	214	21	d(u	d(u	PROPN
ejpam-4416	214	22	,	,	PUNCT
ejpam-4416	214	23	v	v	NOUN
ejpam-4416	214	24	)	)	PUNCT
ejpam-4416	214	25	between	between	ADP
ejpam-4416	214	26	u	u	PROPN
ejpam-4416	214	27	,	,	PUNCT
ejpam-4416	214	28	v	v	PROPN
ejpam-4416	214	29	∈	∈	PROPN
ejpam-4416	214	30	v	v	NOUN
ejpam-4416	214	31	(	(	PUNCT
ejpam-4416	214	32	g	g	NOUN
ejpam-4416	214	33	)	)	PUNCT
ejpam-4416	214	34	is	be	AUX
ejpam-4416	214	35	the	the	DET
ejpam-4416	214	36	length	length	NOUN
ejpam-4416	214	37	of	of	ADP
ejpam-4416	214	38	a	a	DET
ejpam-4416	214	39	shortest	short	ADJ
ejpam-4416	214	40	u−	u−	NOUN
ejpam-4416	214	41	v	v	NUM
ejpam-4416	214	42	path	path	NOUN
ejpam-4416	214	43	in	in	ADP
ejpam-4416	214	44	the	the	DET
ejpam-4416	214	45	graph	graph	NOUN
ejpam-4416	214	46	g.	g.	NOUN
ejpam-4416	214	47	the	the	DET
ejpam-4416	214	48	eccentricity	eccentricity	NOUN
ejpam-4416	214	49	of	of	ADP
ejpam-4416	214	50	a	a	DET
ejpam-4416	214	51	vertex	vertex	NOUN
ejpam-4416	214	52	u	u	NOUN
ejpam-4416	214	53	∈	∈	PROPN
ejpam-4416	214	54	v	v	ADP
ejpam-4416	214	55	(	(	PUNCT
ejpam-4416	214	56	g	g	NOUN
ejpam-4416	214	57	)	)	PUNCT
ejpam-4416	214	58	is	be	AUX
ejpam-4416	214	59	e(u	e(u	PROPN
ejpam-4416	214	60	)	)	PUNCT
ejpam-4416	215	1	=	=	SYM
ejpam-4416	215	2	max{d(u	max{d(u	PROPN
ejpam-4416	215	3	,	,	PUNCT
ejpam-4416	215	4	v	v	NOUN
ejpam-4416	215	5	)	)	PUNCT
ejpam-4416	216	1	|	|	ADV
ejpam-4416	216	2	u	u	PROPN
ejpam-4416	216	3	∈	∈	PROPN
ejpam-4416	216	4	v	v	NOUN
ejpam-4416	216	5	(	(	PUNCT
ejpam-4416	216	6	g	g	NOUN
ejpam-4416	216	7	)	)	PUNCT
ejpam-4416	216	8	}	}	PUNCT
ejpam-4416	216	9	.	.	PUNCT
ejpam-4416	217	1	the	the	DET
ejpam-4416	217	2	diameter	diameter	NOUN
ejpam-4416	217	3	of	of	ADP
ejpam-4416	217	4	a	a	DET
ejpam-4416	217	5	graph	graph	NOUN
ejpam-4416	217	6	g	g	PROPN
ejpam-4416	217	7	is	be	AUX
ejpam-4416	217	8	diam	diam	PROPN
ejpam-4416	217	9	=	=	PUNCT
ejpam-4416	217	10	max{e(u	max{e(u	PROPN
ejpam-4416	217	11	)	)	PUNCT
ejpam-4416	218	1	|	|	ADV
ejpam-4416	218	2	u	u	X
ejpam-4416	218	3	∈	∈	PROPN
ejpam-4416	218	4	v	v	NOUN
ejpam-4416	218	5	(	(	PUNCT
ejpam-4416	218	6	g	g	NOUN
ejpam-4416	218	7	)	)	PUNCT
ejpam-4416	218	8	}	}	PUNCT
ejpam-4416	218	9	.	.	PUNCT
ejpam-4416	219	1	the	the	DET
ejpam-4416	219	2	radius	radius	NOUN
ejpam-4416	219	3	of	of	ADP
ejpam-4416	219	4	a	a	DET
ejpam-4416	219	5	graph	graph	NOUN
ejpam-4416	219	6	g	g	NOUN
ejpam-4416	219	7	is	be	AUX
ejpam-4416	219	8	rad	rad	NOUN
ejpam-4416	219	9	=	=	PUNCT
ejpam-4416	219	10	min{e(u	min{e(u	PROPN
ejpam-4416	219	11	)	)	PUNCT
ejpam-4416	220	1	|	|	ADV
ejpam-4416	220	2	u	u	NOUN
ejpam-4416	220	3	∈	∈	PROPN
ejpam-4416	220	4	v	v	NOUN
ejpam-4416	220	5	(	(	PUNCT
ejpam-4416	220	6	g	g	NOUN
ejpam-4416	220	7	)	)	PUNCT
ejpam-4416	220	8	}	}	PUNCT
ejpam-4416	220	9	.	.	PUNCT
ejpam-4416	221	1	if	if	SCONJ
ejpam-4416	221	2	e(u	e(u	PROPN
ejpam-4416	221	3	)	)	PUNCT
ejpam-4416	221	4	=	=	SYM
ejpam-4416	221	5	diam(g	diam(g	NOUN
ejpam-4416	221	6	)	)	PUNCT
ejpam-4416	221	7	,	,	PUNCT
ejpam-4416	221	8	then	then	ADV
ejpam-4416	221	9	u	u	NOUN
ejpam-4416	221	10	is	be	AUX
ejpam-4416	221	11	a	a	DET
ejpam-4416	221	12	peripheral	peripheral	ADJ
ejpam-4416	221	13	vertex	vertex	NOUN
ejpam-4416	221	14	.	.	PUNCT
ejpam-4416	222	1	the	the	DET
ejpam-4416	222	2	set	set	NOUN
ejpam-4416	222	3	of	of	ADP
ejpam-4416	222	4	all	all	DET
ejpam-4416	222	5	such	such	ADJ
ejpam-4416	222	6	vertices	vertex	NOUN
ejpam-4416	222	7	make	make	VERB
ejpam-4416	222	8	the	the	DET
ejpam-4416	222	9	periphery	periphery	NOUN
ejpam-4416	222	10	of	of	ADP
ejpam-4416	222	11	g.	g.	PROPN
ejpam-4416	222	12	if	if	SCONJ
ejpam-4416	222	13	e(u	e(u	PROPN
ejpam-4416	222	14	)	)	PUNCT
ejpam-4416	223	1	=	=	SYM
ejpam-4416	223	2	rad(g	rad(g	PROPN
ejpam-4416	223	3	)	)	PUNCT
ejpam-4416	223	4	,	,	PUNCT
ejpam-4416	223	5	the	the	DET
ejpam-4416	223	6	vertex	vertex	NOUN
ejpam-4416	223	7	u	u	NOUN
ejpam-4416	223	8	is	be	AUX
ejpam-4416	223	9	a	a	DET
ejpam-4416	223	10	central	central	ADJ
ejpam-4416	223	11	vertex	vertex	NOUN
ejpam-4416	223	12	.	.	PUNCT
ejpam-4416	224	1	the	the	DET
ejpam-4416	224	2	set	set	NOUN
ejpam-4416	224	3	of	of	ADP
ejpam-4416	224	4	all	all	DET
ejpam-4416	224	5	such	such	ADJ
ejpam-4416	224	6	vertices	vertex	NOUN
ejpam-4416	224	7	make	make	VERB
ejpam-4416	224	8	the	the	DET
ejpam-4416	224	9	center	center	NOUN
ejpam-4416	224	10	of	of	ADP
ejpam-4416	224	11	g.	g.	PROPN
ejpam-4416	224	12	the	the	DET
ejpam-4416	224	13	girth	girth	NOUN
ejpam-4416	224	14	of	of	ADP
ejpam-4416	224	15	a	a	DET
ejpam-4416	224	16	graph	graph	NOUN
ejpam-4416	224	17	g	g	NOUN
ejpam-4416	224	18	denoted	denote	VERB
ejpam-4416	224	19	by	by	ADP
ejpam-4416	224	20	gir(g	gir(g	PROPN
ejpam-4416	224	21	)	)	PUNCT
ejpam-4416	224	22	is	be	AUX
ejpam-4416	224	23	the	the	DET
ejpam-4416	224	24	length	length	NOUN
ejpam-4416	224	25	of	of	ADP
ejpam-4416	224	26	the	the	DET
ejpam-4416	224	27	shortest	short	ADJ
ejpam-4416	224	28	cycle	cycle	NOUN
ejpam-4416	224	29	(	(	PUNCT
ejpam-4416	224	30	if	if	SCONJ
ejpam-4416	224	31	any	any	PRON
ejpam-4416	224	32	)	)	PUNCT
ejpam-4416	224	33	in	in	ADP
ejpam-4416	224	34	g.	g.	NOUN
ejpam-4416	224	35	these	these	DET
ejpam-4416	224	36	graph	graph	NOUN
ejpam-4416	224	37	parameters	parameter	NOUN
ejpam-4416	224	38	will	will	AUX
ejpam-4416	224	39	be	be	AUX
ejpam-4416	224	40	considered	consider	VERB
ejpam-4416	224	41	as	as	ADP
ejpam-4416	224	42	the	the	DET
ejpam-4416	224	43	focus	focus	NOUN
ejpam-4416	224	44	of	of	ADP
ejpam-4416	224	45	the	the	DET
ejpam-4416	224	46	study	study	NOUN
ejpam-4416	224	47	.	.	PUNCT
ejpam-4416	225	1	3	3	X
ejpam-4416	225	2	.	.	X
ejpam-4416	225	3	definition	definition	NOUN
ejpam-4416	225	4	of	of	ADP
ejpam-4416	225	5	central	central	ADJ
ejpam-4416	225	6	graph	graph	NOUN
ejpam-4416	225	7	of	of	ADP
ejpam-4416	225	8	γcn	γcn	PROPN
ejpam-4416	225	9	.	.	PUNCT
ejpam-4416	226	1	consider	consider	VERB
ejpam-4416	226	2	the	the	DET
ejpam-4416	226	3	cyclic	cyclic	ADJ
ejpam-4416	226	4	group	group	NOUN
ejpam-4416	226	5	cn	cn	PROPN
ejpam-4416	226	6	of	of	ADP
ejpam-4416	226	7	order	order	NOUN
ejpam-4416	226	8	n	n	PRON
ejpam-4416	226	9	(	(	PUNCT
ejpam-4416	226	10	≥	≥	NOUN
ejpam-4416	226	11	2	2	NUM
ejpam-4416	226	12	)	)	PUNCT
ejpam-4416	226	13	.	.	PUNCT
ejpam-4416	227	1	by	by	ADP
ejpam-4416	227	2	definition	definition	NOUN
ejpam-4416	227	3	2.3	2.3	NUM
ejpam-4416	227	4	,	,	PUNCT
ejpam-4416	227	5	γcn	γcn	PROPN
ejpam-4416	227	6	is	be	AUX
ejpam-4416	227	7	the	the	DET
ejpam-4416	227	8	identity	identity	NOUN
ejpam-4416	227	9	graph	graph	NOUN
ejpam-4416	227	10	associated	associate	VERB
ejpam-4416	227	11	with	with	ADP
ejpam-4416	227	12	the	the	DET
ejpam-4416	227	13	group	group	NOUN
ejpam-4416	227	14	cn	cn	PROPN
ejpam-4416	227	15	.	.	PUNCT
ejpam-4416	228	1	in	in	ADP
ejpam-4416	228	2	this	this	DET
ejpam-4416	228	3	section	section	NOUN
ejpam-4416	228	4	,	,	PUNCT
ejpam-4416	228	5	central	central	ADJ
ejpam-4416	228	6	graph	graph	NOUN
ejpam-4416	228	7	of	of	ADP
ejpam-4416	228	8	γcn	γcn	NOUN
ejpam-4416	228	9	will	will	AUX
ejpam-4416	228	10	be	be	AUX
ejpam-4416	228	11	discussed	discuss	VERB
ejpam-4416	228	12	.	.	PUNCT
ejpam-4416	229	1	definition	definition	NOUN
ejpam-4416	229	2	3.1	3.1	NUM
ejpam-4416	229	3	.	.	PUNCT
ejpam-4416	230	1	[	[	X
ejpam-4416	230	2	10	10	NUM
ejpam-4416	230	3	]	]	PUNCT
ejpam-4416	230	4	let	let	VERB
ejpam-4416	230	5	cn	cn	PROPN
ejpam-4416	230	6	be	be	AUX
ejpam-4416	230	7	a	a	DET
ejpam-4416	230	8	finite	finite	ADJ
ejpam-4416	230	9	cyclic	cyclic	ADJ
ejpam-4416	230	10	group	group	NOUN
ejpam-4416	230	11	of	of	ADP
ejpam-4416	230	12	order	order	NOUN
ejpam-4416	230	13	n	n	X
ejpam-4416	230	14	(	(	PUNCT
ejpam-4416	230	15	≥	≥	NOUN
ejpam-4416	230	16	2	2	NUM
ejpam-4416	230	17	)	)	PUNCT
ejpam-4416	230	18	and	and	CCONJ
ejpam-4416	230	19	γcn	γcn	PROPN
ejpam-4416	230	20	be	be	VERB
ejpam-4416	230	21	the	the	DET
ejpam-4416	230	22	identity	identity	NOUN
ejpam-4416	230	23	graph	graph	NOUN
ejpam-4416	230	24	of	of	ADP
ejpam-4416	230	25	cn	cn	PROPN
ejpam-4416	230	26	.	.	PUNCT
ejpam-4416	231	1	the	the	DET
ejpam-4416	231	2	central	central	ADJ
ejpam-4416	231	3	graph	graph	NOUN
ejpam-4416	231	4	of	of	ADP
ejpam-4416	231	5	γcn	γcn	NOUN
ejpam-4416	231	6	denoted	denote	VERB
ejpam-4416	231	7	by	by	ADP
ejpam-4416	231	8	c(γcn	c(γcn	PROPN
ejpam-4416	231	9	)	)	PUNCT
ejpam-4416	231	10	is	be	AUX
ejpam-4416	231	11	obtained	obtain	VERB
ejpam-4416	231	12	by	by	ADP
ejpam-4416	231	13	subdividing	subdivide	VERB
ejpam-4416	231	14	the	the	DET
ejpam-4416	231	15	edges	edge	NOUN
ejpam-4416	231	16	of	of	ADP
ejpam-4416	231	17	γcn	γcn	NOUN
ejpam-4416	231	18	exactly	exactly	ADV
ejpam-4416	231	19	once	once	ADV
ejpam-4416	231	20	and	and	CCONJ
ejpam-4416	231	21	joining	join	VERB
ejpam-4416	231	22	all	all	DET
ejpam-4416	231	23	the	the	DET
ejpam-4416	231	24	non	non	ADJ
ejpam-4416	231	25	-	-	ADJ
ejpam-4416	231	26	adjacent	adjacent	ADJ
ejpam-4416	231	27	vertices	vertex	NOUN
ejpam-4416	231	28	of	of	ADP
ejpam-4416	231	29	γcn	γcn	PROPN
ejpam-4416	231	30	in	in	ADP
ejpam-4416	231	31	c(γcn	c(γcn	PROPN
ejpam-4416	231	32	)	)	PUNCT
ejpam-4416	231	33	.	.	PUNCT
ejpam-4416	232	1	throughout	throughout	ADP
ejpam-4416	232	2	this	this	DET
ejpam-4416	232	3	paper	paper	NOUN
ejpam-4416	232	4	,	,	PUNCT
ejpam-4416	232	5	we	we	PRON
ejpam-4416	232	6	fix	fix	VERB
ejpam-4416	232	7	a	a	DET
ejpam-4416	232	8	notation	notation	NOUN
ejpam-4416	232	9	for	for	ADP
ejpam-4416	232	10	the	the	DET
ejpam-4416	232	11	vertex	vertex	NOUN
ejpam-4416	232	12	-	-	PUNCT
ejpam-4416	232	13	set	set	VERB
ejpam-4416	232	14	and	and	CCONJ
ejpam-4416	232	15	the	the	DET
ejpam-4416	232	16	edge	edge	NOUN
ejpam-4416	232	17	-	-	PUNCT
ejpam-4416	232	18	set	set	NOUN
ejpam-4416	232	19	of	of	ADP
ejpam-4416	232	20	c(γcn	c(γcn	PROPN
ejpam-4416	232	21	)	)	PUNCT
ejpam-4416	232	22	.	.	PUNCT
ejpam-4416	233	1	for	for	ADP
ejpam-4416	233	2	any	any	DET
ejpam-4416	233	3	integer	integer	NOUN
ejpam-4416	233	4	n	n	PRON
ejpam-4416	233	5	≥	≥	NOUN
ejpam-4416	233	6	2	2	NUM
ejpam-4416	233	7	,	,	PUNCT
ejpam-4416	233	8	let	let	VERB
ejpam-4416	233	9	γcn	γcn	NOUN
ejpam-4416	233	10	be	be	AUX
ejpam-4416	233	11	the	the	DET
ejpam-4416	233	12	identity	identity	NOUN
ejpam-4416	233	13	graph	graph	NOUN
ejpam-4416	233	14	of	of	ADP
ejpam-4416	233	15	cyclic	cyclic	ADJ
ejpam-4416	233	16	group	group	NOUN
ejpam-4416	233	17	cn	cn	PROPN
ejpam-4416	233	18	and	and	CCONJ
ejpam-4416	233	19	let	let	VERB
ejpam-4416	233	20	v	v	NOUN
ejpam-4416	233	21	(	(	PUNCT
ejpam-4416	233	22	γcn	γcn	PROPN
ejpam-4416	233	23	)	)	PUNCT
ejpam-4416	233	24	=	=	SYM
ejpam-4416	233	25	{	{	PUNCT
ejpam-4416	233	26	v0	v0	NOUN
ejpam-4416	233	27	,	,	PUNCT
ejpam-4416	233	28	v1	v1	NOUN
ejpam-4416	233	29	,	,	PUNCT
ejpam-4416	233	30	·	·	PUNCT
ejpam-4416	233	31	·	·	PUNCT
ejpam-4416	233	32	·	·	PUNCT
ejpam-4416	233	33	,	,	PUNCT
ejpam-4416	233	34	vn−1	vn−1	ADJ
ejpam-4416	233	35	}	}	PUNCT
ejpam-4416	233	36	.	.	PUNCT
ejpam-4416	234	1	consider	consider	VERB
ejpam-4416	234	2	its	its	PRON
ejpam-4416	234	3	central	central	ADJ
ejpam-4416	234	4	graph	graph	NOUN
ejpam-4416	234	5	c(γcn	c(γcn	PROPN
ejpam-4416	234	6	)	)	PUNCT
ejpam-4416	234	7	.	.	PUNCT
ejpam-4416	235	1	the	the	DET
ejpam-4416	235	2	vertex	vertex	NOUN
ejpam-4416	235	3	-	-	PUNCT
ejpam-4416	235	4	set	set	VERB
ejpam-4416	235	5	and	and	CCONJ
ejpam-4416	235	6	edge	edge	NOUN
ejpam-4416	235	7	-	-	PUNCT
ejpam-4416	235	8	set	set	NOUN
ejpam-4416	235	9	of	of	ADP
ejpam-4416	235	10	c(γcn	c(γcn	PROPN
ejpam-4416	235	11	)	)	PUNCT
ejpam-4416	235	12	are	be	AUX
ejpam-4416	235	13	v	v	PRON
ejpam-4416	235	14	(	(	PUNCT
ejpam-4416	235	15	c(γcn	c(γcn	PROPN
ejpam-4416	235	16	)	)	PUNCT
ejpam-4416	235	17	)	)	PUNCT
ejpam-4416	236	1	=	=	SYM
ejpam-4416	236	2	v	v	X
ejpam-4416	236	3	(	(	PUNCT
ejpam-4416	236	4	γcn	γcn	PROPN
ejpam-4416	236	5	)	)	PUNCT
ejpam-4416	236	6	⋃	⋃	SCONJ
ejpam-4416	236	7	c	c	X
ejpam-4416	236	8	,	,	PUNCT
ejpam-4416	236	9	where	where	SCONJ
ejpam-4416	236	10	c	c	NOUN
ejpam-4416	236	11	=	=	SYM
ejpam-4416	236	12	{	{	PUNCT
ejpam-4416	236	13	cij	cij	PROPN
ejpam-4416	236	14	:	:	PUNCT
ejpam-4416	236	15	(	(	PUNCT
ejpam-4416	236	16	vi	vi	NOUN
ejpam-4416	236	17	,	,	PUNCT
ejpam-4416	236	18	vj	vj	ADJ
ejpam-4416	236	19	)	)	PUNCT
ejpam-4416	236	20	∈	∈	PROPN
ejpam-4416	236	21	e(γcn	e(γcn	PROPN
ejpam-4416	236	22	)	)	PUNCT
ejpam-4416	236	23	}	}	PUNCT
ejpam-4416	236	24	and	and	CCONJ
ejpam-4416	236	25	e(c(γcn	e(c(γcn	NUM
ejpam-4416	236	26	)	)	PUNCT
ejpam-4416	236	27	)	)	PUNCT
ejpam-4416	237	1	=	=	PRON
ejpam-4416	237	2	{	{	PUNCT
ejpam-4416	237	3	(	(	PUNCT
ejpam-4416	237	4	vi	vi	PROPN
ejpam-4416	237	5	,	,	PUNCT
ejpam-4416	237	6	cij	cij	PROPN
ejpam-4416	237	7	)	)	PUNCT
ejpam-4416	237	8	,	,	PUNCT
ejpam-4416	237	9	(	(	PUNCT
ejpam-4416	237	10	vj	vj	INTJ
ejpam-4416	237	11	,	,	PUNCT
ejpam-4416	237	12	cij	cij	PROPN
ejpam-4416	237	13	)	)	PUNCT
ejpam-4416	237	14	:	:	PUNCT
ejpam-4416	237	15	(	(	PUNCT
ejpam-4416	237	16	vi	vi	NOUN
ejpam-4416	237	17	,	,	PUNCT
ejpam-4416	237	18	vj	vj	ADJ
ejpam-4416	237	19	)	)	PUNCT
ejpam-4416	237	20	∈	∈	PROPN
ejpam-4416	237	21	e(γcn	e(γcn	PROPN
ejpam-4416	237	22	)	)	PUNCT
ejpam-4416	237	23	}	}	PUNCT
ejpam-4416	237	24	⋃	⋃	NOUN
ejpam-4416	237	25	{	{	PUNCT
ejpam-4416	237	26	(	(	PUNCT
ejpam-4416	237	27	vi	vi	NOUN
ejpam-4416	237	28	,	,	PUNCT
ejpam-4416	237	29	vj	vj	PROPN
ejpam-4416	237	30	)	)	PUNCT
ejpam-4416	237	31	:	:	PUNCT
ejpam-4416	237	32	(	(	PUNCT
ejpam-4416	237	33	vi	vi	NOUN
ejpam-4416	237	34	,	,	PUNCT
ejpam-4416	237	35	vj	vj	ADJ
ejpam-4416	237	36	)	)	PUNCT
ejpam-4416	237	37	/∈	/∈	PUNCT
ejpam-4416	237	38	e(γcn	e(γcn	PROPN
ejpam-4416	237	39	)	)	PUNCT
ejpam-4416	237	40	}	}	PUNCT
ejpam-4416	237	41	,	,	PUNCT
ejpam-4416	237	42	respectively	respectively	ADV
ejpam-4416	237	43	.	.	PUNCT
ejpam-4416	238	1	we	we	PRON
ejpam-4416	238	2	consider	consider	VERB
ejpam-4416	238	3	two	two	NUM
ejpam-4416	238	4	cases	case	NOUN
ejpam-4416	238	5	:	:	PUNCT
ejpam-4416	238	6	•	•	NUM
ejpam-4416	238	7	central	central	ADJ
ejpam-4416	238	8	graph	graph	NOUN
ejpam-4416	238	9	of	of	ADP
ejpam-4416	238	10	the	the	DET
ejpam-4416	238	11	identity	identity	NOUN
ejpam-4416	238	12	graph	graph	NOUN
ejpam-4416	238	13	of	of	ADP
ejpam-4416	238	14	odd	odd	ADJ
ejpam-4416	238	15	cyclic	cyclic	ADJ
ejpam-4416	238	16	group	group	NOUN
ejpam-4416	238	17	;	;	PUNCT
ejpam-4416	238	18	•	•	NUM
ejpam-4416	238	19	central	central	ADJ
ejpam-4416	238	20	graph	graph	NOUN
ejpam-4416	238	21	of	of	ADP
ejpam-4416	238	22	the	the	DET
ejpam-4416	238	23	identity	identity	NOUN
ejpam-4416	238	24	graph	graph	NOUN
ejpam-4416	238	25	of	of	ADP
ejpam-4416	238	26	even	even	ADV
ejpam-4416	238	27	cyclic	cyclic	ADJ
ejpam-4416	238	28	group	group	NOUN
ejpam-4416	238	29	.	.	PUNCT
ejpam-4416	239	1	definition	definition	NOUN
ejpam-4416	239	2	3.2	3.2	NUM
ejpam-4416	239	3	.	.	PUNCT
ejpam-4416	240	1	let	let	AUX
ejpam-4416	240	2	c(γcn	c(γcn	PROPN
ejpam-4416	240	3	)	)	PUNCT
ejpam-4416	240	4	be	be	VERB
ejpam-4416	240	5	the	the	DET
ejpam-4416	240	6	central	central	ADJ
ejpam-4416	240	7	graph	graph	NOUN
ejpam-4416	240	8	of	of	ADP
ejpam-4416	240	9	γcn	γcn	NOUN
ejpam-4416	240	10	for	for	ADP
ejpam-4416	240	11	any	any	DET
ejpam-4416	240	12	odd	odd	ADJ
ejpam-4416	240	13	integer	integer	NOUN
ejpam-4416	240	14	n.	n.	NOUN
ejpam-4416	240	15	the	the	DET
ejpam-4416	240	16	vertex	vertex	NOUN
ejpam-4416	240	17	-	-	PUNCT
ejpam-4416	240	18	set	set	VERB
ejpam-4416	240	19	and	and	CCONJ
ejpam-4416	240	20	edge	edge	NOUN
ejpam-4416	240	21	-	-	PUNCT
ejpam-4416	240	22	set	set	NOUN
ejpam-4416	240	23	of	of	ADP
ejpam-4416	240	24	c(γcn	c(γcn	PROPN
ejpam-4416	240	25	)	)	PUNCT
ejpam-4416	240	26	is	be	AUX
ejpam-4416	240	27	given	give	VERB
ejpam-4416	240	28	by	by	ADP
ejpam-4416	240	29	v	v	PROPN
ejpam-4416	240	30	(	(	PUNCT
ejpam-4416	240	31	c(γcn	c(γcn	PROPN
ejpam-4416	240	32	)	)	PUNCT
ejpam-4416	240	33	)	)	PUNCT
ejpam-4416	241	1	=	=	PRON
ejpam-4416	241	2	{	{	PUNCT
ejpam-4416	241	3	v0	v0	PROPN
ejpam-4416	241	4	,	,	PUNCT
ejpam-4416	241	5	vi	vi	PROPN
ejpam-4416	241	6	,	,	PUNCT
ejpam-4416	241	7	c0i	c0i	NOUN
ejpam-4416	241	8	:	:	PUNCT
ejpam-4416	241	9	1	1	NUM
ejpam-4416	241	10	≤	≤	NUM
ejpam-4416	242	1	i	i	PRON
ejpam-4416	242	2	≤	≤	ADJ
ejpam-4416	242	3	n−	n−	NOUN
ejpam-4416	242	4	1	1	NUM
ejpam-4416	242	5	}	}	PUNCT
ejpam-4416	242	6	⋃	⋃	NOUN
ejpam-4416	242	7	{	{	PUNCT
ejpam-4416	242	8	c(2i−1)(2i	c(2i−1)(2i	NOUN
ejpam-4416	242	9	)	)	PUNCT
ejpam-4416	242	10	:	:	PUNCT
ejpam-4416	242	11	1	1	NUM
ejpam-4416	242	12	≤	≤	NUM
ejpam-4416	242	13	i	i	PRON
ejpam-4416	242	14	≤	≤	ADJ
ejpam-4416	242	15	n−	n−	NOUN
ejpam-4416	242	16	1	1	NUM
ejpam-4416	242	17	2	2	NUM
ejpam-4416	242	18	}	}	PUNCT
ejpam-4416	242	19	e(c(γcn	e(c(γcn	PROPN
ejpam-4416	242	20	)	)	PUNCT
ejpam-4416	242	21	)	)	PUNCT
ejpam-4416	243	1	=	=	PRON
ejpam-4416	243	2	{	{	PUNCT
ejpam-4416	243	3	(	(	PUNCT
ejpam-4416	243	4	v0	v0	NOUN
ejpam-4416	243	5	,	,	PUNCT
ejpam-4416	243	6	c0i	c0i	NOUN
ejpam-4416	243	7	)	)	PUNCT
ejpam-4416	243	8	,	,	PUNCT
ejpam-4416	243	9	(	(	PUNCT
ejpam-4416	243	10	vi	vi	NOUN
ejpam-4416	243	11	,	,	PUNCT
ejpam-4416	243	12	c0i	c0i	NOUN
ejpam-4416	243	13	)	)	PUNCT
ejpam-4416	243	14	:	:	PUNCT
ejpam-4416	243	15	1	1	NUM
ejpam-4416	243	16	≤	≤	NUM
ejpam-4416	243	17	i	i	PRON
ejpam-4416	243	18	≤	≤	ADJ
ejpam-4416	243	19	n−	n−	NOUN
ejpam-4416	243	20	1}⋃	1}⋃	NUM
ejpam-4416	243	21	{	{	PUNCT
ejpam-4416	243	22	(	(	PUNCT
ejpam-4416	243	23	v2i−1	v2i−1	PROPN
ejpam-4416	243	24	,	,	PUNCT
ejpam-4416	243	25	c(2i−1)(2i	c(2i−1)(2i	PROPN
ejpam-4416	243	26	)	)	PUNCT
ejpam-4416	243	27	)	)	PUNCT
ejpam-4416	243	28	,	,	PUNCT
ejpam-4416	243	29	(	(	PUNCT
ejpam-4416	243	30	v2i	v2i	NOUN
ejpam-4416	243	31	,	,	PUNCT
ejpam-4416	243	32	c(2i−1)(2i	c(2i−1)(2i	NOUN
ejpam-4416	243	33	)	)	PUNCT
ejpam-4416	243	34	)	)	PUNCT
ejpam-4416	243	35	:	:	PUNCT
ejpam-4416	243	36	1	1	NUM
ejpam-4416	243	37	≤	≤	NUM
ejpam-4416	243	38	i	i	PRON
ejpam-4416	243	39	≤	≤	ADJ
ejpam-4416	243	40	n−	n−	NOUN
ejpam-4416	243	41	1	1	NUM
ejpam-4416	243	42	2	2	NUM
ejpam-4416	243	43	}	}	PUNCT
ejpam-4416	243	44	⋃	⋃	NOUN
ejpam-4416	243	45	{	{	PUNCT
ejpam-4416	243	46	(	(	PUNCT
ejpam-4416	243	47	vi	vi	NOUN
ejpam-4416	243	48	,	,	PUNCT
ejpam-4416	243	49	vj	vj	PROPN
ejpam-4416	243	50	)	)	PUNCT
ejpam-4416	243	51	:	:	PUNCT
ejpam-4416	243	52	1	1	NUM
ejpam-4416	243	53	≤	≤	NUM
ejpam-4416	243	54	i	i	PRON
ejpam-4416	243	55	≤	≤	ADJ
ejpam-4416	243	56	n−	n−	PROPN
ejpam-4416	243	57	3	3	NUM
ejpam-4416	243	58	,	,	PUNCT
ejpam-4416	243	59	i+	i+	ADV
ejpam-4416	243	60	2	2	NUM
ejpam-4416	243	61	≤	≤	NUM
ejpam-4416	243	62	j	j	PROPN
ejpam-4416	243	63	≤	≤	PROPN
ejpam-4416	243	64	n−	n−	PROPN
ejpam-4416	243	65	1}⋃	1}⋃	NUM
ejpam-4416	243	66	{	{	PUNCT
ejpam-4416	243	67	(	(	PUNCT
ejpam-4416	243	68	v2i	v2i	NOUN
ejpam-4416	243	69	,	,	PUNCT
ejpam-4416	243	70	v2i+1	v2i+1	NOUN
ejpam-4416	243	71	)	)	PUNCT
ejpam-4416	243	72	:	:	PUNCT
ejpam-4416	243	73	1	1	NUM
ejpam-4416	243	74	≤	≤	NUM
ejpam-4416	243	75	i	i	PRON
ejpam-4416	243	76	≤	≤	ADJ
ejpam-4416	243	77	n−	n−	NOUN
ejpam-4416	243	78	3	3	NUM
ejpam-4416	243	79	2	2	NUM
ejpam-4416	243	80	}	}	PUNCT
ejpam-4416	243	81	,	,	PUNCT
ejpam-4416	243	82	respectively	respectively	ADV
ejpam-4416	243	83	.	.	PUNCT
ejpam-4416	244	1	c.	c.	PROPN
ejpam-4416	244	2	alib	alib	PROPN
ejpam-4416	244	3	,	,	PUNCT
ejpam-4416	244	4	d.	d.	PROPN
ejpam-4416	244	5	magpantay	magpantay	PROPN
ejpam-4416	244	6	/	/	SYM
ejpam-4416	244	7	eur	eur	PROPN
ejpam-4416	244	8	.	.	PUNCT
ejpam-4416	245	1	j.	j.	PROPN
ejpam-4416	245	2	pure	pure	PROPN
ejpam-4416	245	3	appl	appl	PROPN
ejpam-4416	245	4	.	.	PROPN
ejpam-4416	245	5	math	math	PROPN
ejpam-4416	245	6	,	,	PUNCT
ejpam-4416	245	7	15	15	NUM
ejpam-4416	245	8	(	(	PUNCT
ejpam-4416	245	9	3	3	NUM
ejpam-4416	245	10	)	)	PUNCT
ejpam-4416	245	11	(	(	PUNCT
ejpam-4416	245	12	2022	2022	NUM
ejpam-4416	245	13	)	)	PUNCT
ejpam-4416	245	14	,	,	PUNCT
ejpam-4416	245	15	1098	1098	NUM
ejpam-4416	245	16	-	-	SYM
ejpam-4416	245	17	1112	1112	NUM
ejpam-4416	245	18	1103	1103	NUM
ejpam-4416	245	19	.........	.........	PUNCT
ejpam-4416	245	20	........	........	PUNCT
ejpam-4416	245	21	........	........	PUNCT
ejpam-4416	245	22	........	........	PUNCT
ejpam-4416	245	23	........	........	PUNCT
ejpam-4416	245	24	........	........	PUNCT
ejpam-4416	245	25	........	........	PUNCT
ejpam-4416	245	26	........	........	PUNCT
ejpam-4416	245	27	........	........	PUNCT
ejpam-4416	245	28	........	........	PUNCT
ejpam-4416	245	29	........	........	PUNCT
ejpam-4416	245	30	........	........	PUNCT
ejpam-4416	245	31	........	........	PUNCT
ejpam-4416	245	32	........	........	PUNCT
ejpam-4416	245	33	........	........	PUNCT
ejpam-4416	245	34	........	........	PUNCT
ejpam-4416	245	35	........	........	PUNCT
ejpam-4416	245	36	........	........	PUNCT
ejpam-4416	245	37	........	........	PUNCT
ejpam-4416	245	38	........	........	PUNCT
ejpam-4416	245	39	........	........	PUNCT
ejpam-4416	245	40	........	........	PUNCT
ejpam-4416	245	41	........	........	PUNCT
ejpam-4416	245	42	........	........	PUNCT
ejpam-4416	245	43	........	........	PUNCT
ejpam-4416	245	44	........	........	PUNCT
ejpam-4416	245	45	........	........	PUNCT
ejpam-4416	245	46	........	........	PUNCT
ejpam-4416	245	47	........	........	PUNCT
ejpam-4416	245	48	........	........	PUNCT
ejpam-4416	245	49	........	........	PUNCT
ejpam-4416	245	50	........	........	PUNCT
ejpam-4416	245	51	........	........	PUNCT
ejpam-4416	245	52	........	........	PUNCT
ejpam-4416	245	53	........	........	PUNCT
ejpam-4416	245	54	........	........	PUNCT
ejpam-4416	245	55	........	........	PUNCT
ejpam-4416	245	56	........	........	PUNCT
ejpam-4416	245	57	........	........	PUNCT
ejpam-4416	245	58	........	........	PUNCT
ejpam-4416	245	59	........	........	PUNCT
ejpam-4416	245	60	........	........	PUNCT
ejpam-4416	245	61	........	........	PUNCT
ejpam-4416	245	62	........	........	PUNCT
ejpam-4416	245	63	........	........	PUNCT
ejpam-4416	245	64	........	........	PUNCT
ejpam-4416	245	65	........	........	PUNCT
ejpam-4416	245	66	........	........	PUNCT
ejpam-4416	245	67	........	........	PUNCT
ejpam-4416	245	68	........	........	PUNCT
ejpam-4416	245	69	........	........	PUNCT
ejpam-4416	245	70	.......	.......	PUNCT
ejpam-4416	245	71	.........	.........	PUNCT
ejpam-4416	246	1	.....................................................	.....................................................	PUNCT
ejpam-4416	246	2	..	..	PUNCT
ejpam-4416	246	3	.........................................................................................................	.........................................................................................................	PUNCT
ejpam-4416	246	4	.....................................................	.....................................................	PUNCT
ejpam-4416	247	1	..	..	PUNCT
ejpam-4416	247	2	................................................................................................................................................................................................................................................................................................................................................................................................................................	................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	247	3	.........	.........	PUNCT
ejpam-4416	248	1	.....................................................	.....................................................	PUNCT
ejpam-4416	248	2	..	..	PUNCT
ejpam-4416	248	3	.........	.........	PUNCT
ejpam-4416	249	1	.....................................................	.....................................................	PUNCT
ejpam-4416	249	2	..	..	PUNCT
ejpam-4416	250	1	..........	..........	PUNCT
ejpam-4416	250	2	.........	.........	PUNCT
ejpam-4416	251	1	.........	.........	PUNCT
ejpam-4416	251	2	.........	.........	PUNCT
ejpam-4416	252	1	.........	.........	PUNCT
ejpam-4416	252	2	.........	.........	PUNCT
ejpam-4416	253	1	.........	.........	PUNCT
ejpam-4416	253	2	.........	.........	PUNCT
ejpam-4416	254	1	.........	.........	PUNCT
ejpam-4416	254	2	.........	.........	PUNCT
ejpam-4416	255	1	.........	.........	PUNCT
ejpam-4416	255	2	.........	.........	PUNCT
ejpam-4416	256	1	.........	.........	PUNCT
ejpam-4416	256	2	.........	.........	PUNCT
ejpam-4416	257	1	.........	.........	PUNCT
ejpam-4416	257	2	.........	.........	PUNCT
ejpam-4416	258	1	.........	.........	PUNCT
ejpam-4416	258	2	.........	.........	PUNCT
ejpam-4416	259	1	.........	.........	PUNCT
ejpam-4416	259	2	.........	.........	PUNCT
ejpam-4416	260	1	.........	.........	PUNCT
ejpam-4416	260	2	.........	.........	PUNCT
ejpam-4416	261	1	.........	.........	PUNCT
ejpam-4416	261	2	.........	.........	PUNCT
ejpam-4416	262	1	.........	.........	PUNCT
ejpam-4416	262	2	.........	.........	PUNCT
ejpam-4416	263	1	.........	.........	PUNCT
ejpam-4416	263	2	.........	.........	PUNCT
ejpam-4416	264	1	.........	.........	PUNCT
ejpam-4416	264	2	.........	.........	PUNCT
ejpam-4416	265	1	.........	.........	PUNCT
ejpam-4416	265	2	.........	.........	PUNCT
ejpam-4416	266	1	.........	.........	PUNCT
ejpam-4416	266	2	.........	.........	PUNCT
ejpam-4416	267	1	.........	.........	PUNCT
ejpam-4416	267	2	.........	.........	PUNCT
ejpam-4416	268	1	.........	.........	PUNCT
ejpam-4416	268	2	.........	.........	PUNCT
ejpam-4416	269	1	.........	.........	PUNCT
ejpam-4416	269	2	.........	.........	PUNCT
ejpam-4416	270	1	.........	.........	PUNCT
ejpam-4416	270	2	.........	.........	PUNCT
ejpam-4416	271	1	.........	.........	PUNCT
ejpam-4416	271	2	....	....	PUNCT
ejpam-4416	271	3	.........	.........	PUNCT
ejpam-4416	272	1	.....................................................	.....................................................	PUNCT
ejpam-4416	272	2	..	..	PUNCT
ejpam-4416	272	3	.....................................................................................	.....................................................................................	PUNCT
ejpam-4416	272	4	.........	.........	PUNCT
ejpam-4416	272	5	.....................................................	.....................................................	PUNCT
ejpam-4416	272	6	..	..	PUNCT
ejpam-4416	272	7	...........	...........	PUNCT
ejpam-4416	272	8	..........	..........	PUNCT
ejpam-4416	273	1	..........	..........	PUNCT
ejpam-4416	273	2	..........	..........	PUNCT
ejpam-4416	274	1	..........	..........	PUNCT
ejpam-4416	274	2	..........	..........	PUNCT
ejpam-4416	275	1	..........	..........	PUNCT
ejpam-4416	275	2	..........	..........	PUNCT
ejpam-4416	276	1	..........	..........	PUNCT
ejpam-4416	276	2	..........	..........	PUNCT
ejpam-4416	277	1	..........	..........	PUNCT
ejpam-4416	277	2	..........	..........	PUNCT
ejpam-4416	278	1	..........	..........	PUNCT
ejpam-4416	278	2	..........	..........	PUNCT
ejpam-4416	279	1	..........	..........	PUNCT
ejpam-4416	279	2	..........	..........	PUNCT
ejpam-4416	280	1	..........	..........	PUNCT
ejpam-4416	280	2	..........	..........	PUNCT
ejpam-4416	281	1	..........	..........	PUNCT
ejpam-4416	281	2	..........	..........	PUNCT
ejpam-4416	282	1	..........	..........	PUNCT
ejpam-4416	282	2	..........	..........	PUNCT
ejpam-4416	283	1	..........	..........	PUNCT
ejpam-4416	283	2	..........	..........	PUNCT
ejpam-4416	284	1	..........	..........	PUNCT
ejpam-4416	284	2	..........	..........	PUNCT
ejpam-4416	285	1	..........	..........	PUNCT
ejpam-4416	285	2	..........	..........	PUNCT
ejpam-4416	286	1	..........	..........	PUNCT
ejpam-4416	286	2	..........	..........	PUNCT
ejpam-4416	287	1	..........	..........	PUNCT
ejpam-4416	287	2	..........	..........	PUNCT
ejpam-4416	288	1	..........	..........	PUNCT
ejpam-4416	288	2	..........	..........	PUNCT
ejpam-4416	289	1	.........	.........	PUNCT
ejpam-4416	289	2	.........	.........	PUNCT
ejpam-4416	290	1	.....................................................	.....................................................	PUNCT
ejpam-4416	290	2	..	..	PUNCT
ejpam-4416	290	3	.........	.........	PUNCT
ejpam-4416	290	4	.....................................................	.....................................................	PUNCT
ejpam-4416	290	5	..........................................................................................................................................................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................................................................................................................................................	PROPN
ejpam-4416	290	6	.........	.........	PUNCT
ejpam-4416	291	1	.....................................................	.....................................................	PUNCT
ejpam-4416	291	2	..	..	PUNCT
ejpam-4416	291	3	...........	...........	PUNCT
ejpam-4416	291	4	..........	..........	PUNCT
ejpam-4416	292	1	..........	..........	PUNCT
ejpam-4416	292	2	..........	..........	PUNCT
ejpam-4416	293	1	..........	..........	PUNCT
ejpam-4416	293	2	..........	..........	PUNCT
ejpam-4416	294	1	..........	..........	PUNCT
ejpam-4416	294	2	..........	..........	PUNCT
ejpam-4416	295	1	....	....	PUNCT
ejpam-4416	295	2	.........	.........	PUNCT
ejpam-4416	296	1	.....................................................	.....................................................	PUNCT
ejpam-4416	296	2	..	..	PUNCT
ejpam-4416	296	3	..............................................................................................................................................................................................................................................................................................................................................................	..............................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	296	4	.........	.........	PUNCT
ejpam-4416	297	1	.....................................................	.....................................................	PUNCT
ejpam-4416	297	2	..	..	PUNCT
ejpam-4416	297	3	.........	.........	PUNCT
ejpam-4416	298	1	.....................................................	.....................................................	PUNCT
ejpam-4416	298	2	..	..	PUNCT
ejpam-4416	298	3	.............	.............	PUNCT
ejpam-4416	298	4	............	............	PUNCT
ejpam-4416	298	5	............	............	PUNCT
ejpam-4416	298	6	............	............	PUNCT
ejpam-4416	298	7	............	............	PUNCT
ejpam-4416	298	8	............	............	PUNCT
ejpam-4416	298	9	............	............	PUNCT
ejpam-4416	298	10	............	............	PUNCT
ejpam-4416	298	11	............	............	PUNCT
ejpam-4416	298	12	............	............	PUNCT
ejpam-4416	298	13	............	............	PUNCT
ejpam-4416	298	14	............	............	PUNCT
ejpam-4416	298	15	............	............	PUNCT
ejpam-4416	298	16	............	............	PUNCT
ejpam-4416	298	17	............	............	PUNCT
ejpam-4416	298	18	............	............	PUNCT
ejpam-4416	298	19	............	............	PUNCT
ejpam-4416	298	20	............	............	PUNCT
ejpam-4416	298	21	............	............	PUNCT
ejpam-4416	298	22	............	............	PUNCT
ejpam-4416	298	23	............	............	PUNCT
ejpam-4416	298	24	............	............	PUNCT
ejpam-4416	298	25	............	............	PUNCT
ejpam-4416	298	26	............	............	PUNCT
ejpam-4416	298	27	............	............	PUNCT
ejpam-4416	298	28	............	............	PUNCT
ejpam-4416	298	29	............	............	PUNCT
ejpam-4416	298	30	.	.	PUNCT
ejpam-4416	299	1	.........	.........	PUNCT
ejpam-4416	299	2	.....................................................	.....................................................	PUNCT
ejpam-4416	300	1	..	..	PUNCT
ejpam-4416	300	2	.....................................................................	.....................................................................	PUNCT
ejpam-4416	300	3	.........	.........	PUNCT
ejpam-4416	301	1	.....................................................	.....................................................	PUNCT
ejpam-4416	301	2	..	..	PUNCT
ejpam-4416	301	3	..................	..................	PUNCT
ejpam-4416	302	1	.................	.................	PUNCT
ejpam-4416	302	2	.................	.................	PUNCT
ejpam-4416	303	1	.................	.................	PUNCT
ejpam-4416	303	2	.................	.................	PUNCT
ejpam-4416	304	1	.................	.................	PUNCT
ejpam-4416	304	2	.................	.................	PUNCT
ejpam-4416	305	1	.................	.................	PUNCT
ejpam-4416	305	2	.................	.................	PUNCT
ejpam-4416	306	1	.................	.................	PUNCT
ejpam-4416	306	2	.................	.................	PUNCT
ejpam-4416	307	1	.................	.................	PUNCT
ejpam-4416	307	2	.................	.................	PUNCT
ejpam-4416	308	1	.................	.................	PUNCT
ejpam-4416	308	2	.................	.................	PUNCT
ejpam-4416	309	1	.................	.................	PUNCT
ejpam-4416	309	2	.................	.................	PUNCT
ejpam-4416	309	3	.	.	PUNCT
ejpam-4416	310	1	.........	.........	PUNCT
ejpam-4416	310	2	.....................................................	.....................................................	PUNCT
ejpam-4416	311	1	..	..	PUNCT
ejpam-4416	311	2	.........	.........	PUNCT
ejpam-4416	311	3	.....................................................	.....................................................	PUNCT
ejpam-4416	311	4	........................................................................................................................................................................................................................................................................................................................................	........................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	311	5	.........	.........	PUNCT
ejpam-4416	312	1	.....................................................	.....................................................	PUNCT
ejpam-4416	312	2	..	..	PUNCT
ejpam-4416	312	3	.........	.........	PUNCT
ejpam-4416	312	4	........	........	PUNCT
ejpam-4416	312	5	........	........	PUNCT
ejpam-4416	312	6	........	........	PUNCT
ejpam-4416	312	7	........	........	PUNCT
ejpam-4416	312	8	........	........	PUNCT
ejpam-4416	312	9	........	........	PUNCT
ejpam-4416	312	10	........	........	PUNCT
ejpam-4416	313	1	....	....	PUNCT
ejpam-4416	313	2	.........	.........	PUNCT
ejpam-4416	314	1	.....................................................	.....................................................	PUNCT
ejpam-4416	314	2	..	..	PUNCT
ejpam-4416	314	3	...................................................................................................................................................................................................................................................................................................	...................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	315	1	.........	.........	PUNCT
ejpam-4416	315	2	.....................................................	.....................................................	PUNCT
ejpam-4416	315	3	..	..	PUNCT
ejpam-4416	315	4	.........	.........	PUNCT
ejpam-4416	316	1	.....................................................	.....................................................	PUNCT
ejpam-4416	316	2	..	..	PUNCT
ejpam-4416	317	1	v0	v0	NOUN
ejpam-4416	317	2	v1	v1	PROPN
ejpam-4416	317	3	v2	v2	PROPN
ejpam-4416	317	4	v3	v3	PROPN
ejpam-4416	317	5	v4vn−4	v4vn−4	NOUN
ejpam-4416	317	6	vn−3	vn−3	PROPN
ejpam-4416	317	7	vn−2	vn−2	PROPN
ejpam-4416	317	8	vn−1	vn−1	PROPN
ejpam-4416	317	9	....................	....................	PUNCT
ejpam-4416	317	10	........................................	........................................	PUNCT
ejpam-4416	317	11	....................	....................	PUNCT
ejpam-4416	318	1	........................................	........................................	PUNCT
ejpam-4416	318	2	figure	figure	NOUN
ejpam-4416	318	3	2	2	NUM
ejpam-4416	318	4	:	:	PUNCT
ejpam-4416	318	5	the	the	DET
ejpam-4416	318	6	identity	identity	NOUN
ejpam-4416	318	7	graph	graph	NOUN
ejpam-4416	318	8	of	of	ADP
ejpam-4416	318	9	odd	odd	ADJ
ejpam-4416	318	10	cyclic	cyclic	ADJ
ejpam-4416	318	11	group	group	NOUN
ejpam-4416	318	12	............	............	PUNCT
ejpam-4416	318	13	............	............	PUNCT
ejpam-4416	318	14	............	............	PUNCT
ejpam-4416	319	1	....................................	....................................	PUNCT
ejpam-4416	319	2	....................................	....................................	PUNCT
ejpam-4416	320	1	....................................	....................................	PUNCT
ejpam-4416	320	2	....................................	....................................	PUNCT
ejpam-4416	321	1	....................................	....................................	PUNCT
ejpam-4416	321	2	....................................	....................................	PUNCT
ejpam-4416	322	1	....................................	....................................	PUNCT
ejpam-4416	322	2	....................................	....................................	PUNCT
ejpam-4416	323	1	....................................	....................................	PUNCT
ejpam-4416	323	2	....................................	....................................	PUNCT
ejpam-4416	324	1	....................................	....................................	PUNCT
ejpam-4416	324	2	.........	.........	PUNCT
ejpam-4416	325	1	.....................................................	.....................................................	PUNCT
ejpam-4416	325	2	..	..	PUNCT
ejpam-4416	325	3	.........	.........	PUNCT
ejpam-4416	326	1	.....................................................	.....................................................	PUNCT
ejpam-4416	326	2	..	..	PUNCT
ejpam-4416	326	3	.........	.........	PUNCT
ejpam-4416	327	1	.....................................................	.....................................................	PUNCT
ejpam-4416	327	2	..	..	PUNCT
ejpam-4416	327	3	.........	.........	PUNCT
ejpam-4416	328	1	.....................................................	.....................................................	PUNCT
ejpam-4416	328	2	..	..	PUNCT
ejpam-4416	328	3	.........	.........	PUNCT
ejpam-4416	329	1	.....................................................	.....................................................	PUNCT
ejpam-4416	329	2	..	..	PUNCT
ejpam-4416	329	3	.........	.........	PUNCT
ejpam-4416	330	1	.....................................................	.....................................................	PUNCT
ejpam-4416	330	2	..	..	PUNCT
ejpam-4416	330	3	.........	.........	PUNCT
ejpam-4416	331	1	.....................................................	.....................................................	PUNCT
ejpam-4416	331	2	..	..	PUNCT
ejpam-4416	331	3	.........	.........	PUNCT
ejpam-4416	332	1	.....................................................	.....................................................	PUNCT
ejpam-4416	332	2	..	..	PUNCT
ejpam-4416	332	3	.........	.........	PUNCT
ejpam-4416	333	1	.....................................................	.....................................................	PUNCT
ejpam-4416	333	2	..	..	PUNCT
ejpam-4416	333	3	.........	.........	PUNCT
ejpam-4416	334	1	.....................................................	.....................................................	PUNCT
ejpam-4416	334	2	..	..	PUNCT
ejpam-4416	334	3	.........	.........	PUNCT
ejpam-4416	335	1	.....................................................	.....................................................	PUNCT
ejpam-4416	335	2	..	..	PUNCT
ejpam-4416	335	3	.........	.........	PUNCT
ejpam-4416	336	1	.....................................................	.....................................................	PUNCT
ejpam-4416	336	2	..	..	PUNCT
ejpam-4416	336	3	.........	.........	PUNCT
ejpam-4416	337	1	.....................................................	.....................................................	PUNCT
ejpam-4416	337	2	..	..	PUNCT
ejpam-4416	337	3	.........	.........	PUNCT
ejpam-4416	338	1	.....................................................	.....................................................	PUNCT
ejpam-4416	338	2	..	..	PUNCT
ejpam-4416	338	3	.........	.........	PUNCT
ejpam-4416	339	1	.....................................................	.....................................................	PUNCT
ejpam-4416	339	2	..	..	PUNCT
ejpam-4416	339	3	.........	.........	PUNCT
ejpam-4416	340	1	.....................................................	.....................................................	PUNCT
ejpam-4416	340	2	..	..	PUNCT
ejpam-4416	341	1	c01	c01	PROPN
ejpam-4416	341	2	c02	c02	PROPN
ejpam-4416	341	3	c03	c03	PROPN
ejpam-4416	341	4	c04c0(n−4	c04c0(n−4	PROPN
ejpam-4416	341	5	)	)	PUNCT
ejpam-4416	341	6	c0(n−3	c0(n−3	NOUN
ejpam-4416	341	7	)	)	PUNCT
ejpam-4416	341	8	c0(n−2	c0(n−2	NOUN
ejpam-4416	341	9	)	)	PUNCT
ejpam-4416	341	10	c0(n−1	c0(n−1	NOUN
ejpam-4416	341	11	)	)	PUNCT
ejpam-4416	341	12	v0	v0	NOUN
ejpam-4416	341	13	v1	v1	NOUN
ejpam-4416	341	14	v2	v2	PROPN
ejpam-4416	341	15	v3	v3	PROPN
ejpam-4416	341	16	v4vn−4	v4vn−4	NOUN
ejpam-4416	341	17	vn−3	vn−3	PROPN
ejpam-4416	341	18	vn−2	vn−2	PROPN
ejpam-4416	341	19	vn−1	vn−1	PROPN
ejpam-4416	341	20	c12	c12	PROPN
ejpam-4416	341	21	c34c(n−4)(n−3	c34c(n−4)(n−3	NOUN
ejpam-4416	341	22	)	)	PUNCT
ejpam-4416	341	23	c(n−2)(n−1	c(n−2)(n−1	PROPN
ejpam-4416	341	24	)	)	PUNCT
ejpam-4416	341	25	..........	..........	PUNCT
ejpam-4416	342	1	.........	.........	PUNCT
ejpam-4416	342	2	.........	.........	PUNCT
ejpam-4416	342	3	.	.	PUNCT
ejpam-4416	343	1	......................................	......................................	PUNCT
ejpam-4416	343	2	.........	.........	PUNCT
ejpam-4416	344	1	........	........	PUNCT
ejpam-4416	344	2	........	........	PUNCT
ejpam-4416	344	3	........	........	PUNCT
ejpam-4416	345	1	......	......	PUNCT
ejpam-4416	345	2	.............................................	.............................................	PUNCT
ejpam-4416	346	1	.............................................	.............................................	PUNCT
ejpam-4416	346	2	...................	...................	PUNCT
ejpam-4416	346	3	..................	..................	PUNCT
ejpam-4416	346	4	........	........	PUNCT
ejpam-4416	347	1	...................	...................	PUNCT
ejpam-4416	347	2	..................	..................	PUNCT
ejpam-4416	348	1	........	........	PUNCT
ejpam-4416	348	2	.........	.........	PUNCT
ejpam-4416	348	3	........	........	PUNCT
ejpam-4416	348	4	........	........	PUNCT
ejpam-4416	348	5	........	........	PUNCT
ejpam-4416	349	1	......	......	PUNCT
ejpam-4416	349	2	............	............	PUNCT
ejpam-4416	349	3	...........	...........	PUNCT
ejpam-4416	349	4	...........	...........	PUNCT
ejpam-4416	349	5	....	....	PUNCT
ejpam-4416	349	6	.............................	.............................	PUNCT
ejpam-4416	350	1	..........	..........	PUNCT
ejpam-4416	350	2	.........	.........	PUNCT
ejpam-4416	351	1	.........	.........	PUNCT
ejpam-4416	351	2	.........	.........	PUNCT
ejpam-4416	352	1	.........	.........	PUNCT
ejpam-4416	352	2	.........	.........	PUNCT
ejpam-4416	353	1	.........	.........	PUNCT
ejpam-4416	353	2	.........	.........	PUNCT
ejpam-4416	354	1	.........	.........	PUNCT
ejpam-4416	354	2	.........	.........	PUNCT
ejpam-4416	355	1	.........	.........	PUNCT
ejpam-4416	355	2	.........	.........	PUNCT
ejpam-4416	356	1	.........	.........	PUNCT
ejpam-4416	356	2	.........	.........	PUNCT
ejpam-4416	357	1	.....	.....	PUNCT
ejpam-4416	357	2	...........	...........	PUNCT
ejpam-4416	357	3	..........	..........	PUNCT
ejpam-4416	358	1	..........	..........	PUNCT
ejpam-4416	358	2	..........	..........	PUNCT
ejpam-4416	359	1	..........	..........	PUNCT
ejpam-4416	359	2	..........	..........	PUNCT
ejpam-4416	360	1	..........	..........	PUNCT
ejpam-4416	360	2	..........	..........	PUNCT
ejpam-4416	361	1	..........	..........	PUNCT
ejpam-4416	361	2	..........	..........	PUNCT
ejpam-4416	362	1	..........	..........	PUNCT
ejpam-4416	362	2	..........	..........	PUNCT
ejpam-4416	363	1	..........	..........	PUNCT
ejpam-4416	363	2	..........	..........	PUNCT
ejpam-4416	363	3	.......	.......	PUNCT
ejpam-4416	364	1	..........	..........	PUNCT
ejpam-4416	364	2	.........	.........	PUNCT
ejpam-4416	365	1	.........	.........	PUNCT
ejpam-4416	365	2	.........	.........	PUNCT
ejpam-4416	366	1	.........	.........	PUNCT
ejpam-4416	366	2	.........	.........	PUNCT
ejpam-4416	367	1	.........	.........	PUNCT
ejpam-4416	367	2	.........	.........	PUNCT
ejpam-4416	368	1	.........	.........	PUNCT
ejpam-4416	368	2	.........	.........	PUNCT
ejpam-4416	369	1	.........	.........	PUNCT
ejpam-4416	369	2	.........	.........	PUNCT
ejpam-4416	370	1	.........	.........	PUNCT
ejpam-4416	370	2	.........	.........	PUNCT
ejpam-4416	371	1	.........	.........	PUNCT
ejpam-4416	371	2	.........	.........	PUNCT
ejpam-4416	372	1	.........	.........	PUNCT
ejpam-4416	372	2	.........	.........	PUNCT
ejpam-4416	373	1	.........	.........	PUNCT
ejpam-4416	373	2	.........	.........	PUNCT
ejpam-4416	374	1	.........	.........	PUNCT
ejpam-4416	374	2	.........	.........	PUNCT
ejpam-4416	375	1	.........	.........	PUNCT
ejpam-4416	375	2	.........	.........	PUNCT
ejpam-4416	376	1	.........	.........	PUNCT
ejpam-4416	376	2	......	......	PUNCT
ejpam-4416	376	3	...................	...................	PUNCT
ejpam-4416	377	1	..................	..................	PUNCT
ejpam-4416	377	2	..................	..................	PUNCT
ejpam-4416	378	1	..................	..................	PUNCT
ejpam-4416	378	2	..................	..................	PUNCT
ejpam-4416	379	1	..................	..................	PUNCT
ejpam-4416	379	2	..............	..............	PUNCT
ejpam-4416	379	3	.............	.............	PUNCT
ejpam-4416	379	4	.............	.............	PUNCT
ejpam-4416	379	5	.............	.............	PUNCT
ejpam-4416	379	6	.............	.............	PUNCT
ejpam-4416	379	7	.............	.............	PUNCT
ejpam-4416	379	8	.............	.............	PUNCT
ejpam-4416	379	9	.............	.............	PUNCT
ejpam-4416	379	10	.............	.............	PUNCT
ejpam-4416	379	11	.............	.............	PUNCT
ejpam-4416	379	12	.............	.............	PUNCT
ejpam-4416	379	13	.............	.............	PUNCT
ejpam-4416	379	14	.............	.............	PUNCT
ejpam-4416	379	15	.............	.............	PUNCT
ejpam-4416	379	16	.............	.............	PUNCT
ejpam-4416	379	17	.........	.........	PUNCT
ejpam-4416	379	18	............	............	PUNCT
ejpam-4416	379	19	...........	...........	PUNCT
ejpam-4416	379	20	...........	...........	PUNCT
ejpam-4416	379	21	...........	...........	PUNCT
ejpam-4416	379	22	...........	...........	PUNCT
ejpam-4416	379	23	...........	...........	PUNCT
ejpam-4416	379	24	...........	...........	PUNCT
ejpam-4416	379	25	...........	...........	PUNCT
ejpam-4416	379	26	...........	...........	PUNCT
ejpam-4416	379	27	...........	...........	PUNCT
ejpam-4416	379	28	...........	...........	PUNCT
ejpam-4416	379	29	...........	...........	PUNCT
ejpam-4416	379	30	...........	...........	PUNCT
ejpam-4416	379	31	...........	...........	PUNCT
ejpam-4416	379	32	...........	...........	PUNCT
ejpam-4416	379	33	...........	...........	PUNCT
ejpam-4416	379	34	...........	...........	PUNCT
ejpam-4416	379	35	...........	...........	PUNCT
ejpam-4416	379	36	...........	...........	PUNCT
ejpam-4416	379	37	...........	...........	PUNCT
ejpam-4416	379	38	...........	...........	PUNCT
ejpam-4416	379	39	...........	...........	PUNCT
ejpam-4416	379	40	...........	...........	PUNCT
ejpam-4416	379	41	...........	...........	PUNCT
ejpam-4416	379	42	.	.	PUNCT
ejpam-4416	380	1	...........	...........	PUNCT
ejpam-4416	380	2	..........	..........	PUNCT
ejpam-4416	381	1	..........	..........	PUNCT
ejpam-4416	381	2	..........	..........	PUNCT
ejpam-4416	382	1	..........	..........	PUNCT
ejpam-4416	382	2	..........	..........	PUNCT
ejpam-4416	383	1	..........	..........	PUNCT
ejpam-4416	383	2	..........	..........	PUNCT
ejpam-4416	384	1	..........	..........	PUNCT
ejpam-4416	384	2	..........	..........	PUNCT
ejpam-4416	385	1	..........	..........	PUNCT
ejpam-4416	385	2	..........	..........	PUNCT
ejpam-4416	386	1	..........	..........	PUNCT
ejpam-4416	386	2	..........	..........	PUNCT
ejpam-4416	387	1	..........	..........	PUNCT
ejpam-4416	387	2	..........	..........	PUNCT
ejpam-4416	388	1	..........	..........	PUNCT
ejpam-4416	388	2	..........	..........	PUNCT
ejpam-4416	389	1	..........	..........	PUNCT
ejpam-4416	389	2	..........	..........	PUNCT
ejpam-4416	390	1	..........	..........	PUNCT
ejpam-4416	390	2	..........	..........	PUNCT
ejpam-4416	391	1	..........	..........	PUNCT
ejpam-4416	391	2	..........	..........	PUNCT
ejpam-4416	392	1	..........	..........	PUNCT
ejpam-4416	392	2	..........	..........	PUNCT
ejpam-4416	393	1	..........	..........	PUNCT
ejpam-4416	393	2	..........	..........	PUNCT
ejpam-4416	394	1	..........	..........	PUNCT
ejpam-4416	394	2	..........	..........	PUNCT
ejpam-4416	395	1	..........	..........	PUNCT
ejpam-4416	395	2	..........	..........	PUNCT
ejpam-4416	396	1	..........	..........	PUNCT
ejpam-4416	396	2	..........	..........	PUNCT
ejpam-4416	397	1	..	..	PUNCT
ejpam-4416	397	2	..................................	..................................	PUNCT
ejpam-4416	397	3	.................................	.................................	PUNCT
ejpam-4416	397	4	.................................	.................................	PUNCT
ejpam-4416	397	5	.................................	.................................	PUNCT
ejpam-4416	397	6	.................................	.................................	PUNCT
ejpam-4416	397	7	.................................	.................................	PUNCT
ejpam-4416	397	8	....................	....................	PUNCT
ejpam-4416	398	1	...................	...................	PUNCT
ejpam-4416	398	2	..................	..................	PUNCT
ejpam-4416	399	1	..................	..................	PUNCT
ejpam-4416	399	2	..................	..................	PUNCT
ejpam-4416	400	1	..................	..................	PUNCT
ejpam-4416	400	2	..................	..................	PUNCT
ejpam-4416	401	1	..................	..................	PUNCT
ejpam-4416	401	2	..................	..................	PUNCT
ejpam-4416	402	1	..................	..................	PUNCT
ejpam-4416	402	2	..................	..................	PUNCT
ejpam-4416	403	1	..................	..................	PUNCT
ejpam-4416	403	2	..................	..................	PUNCT
ejpam-4416	404	1	..................	..................	PUNCT
ejpam-4416	404	2	..................	..................	PUNCT
ejpam-4416	405	1	..................	..................	PUNCT
ejpam-4416	405	2	..................	..................	PUNCT
ejpam-4416	406	1	.............	.............	PUNCT
ejpam-4416	406	2	................	................	PUNCT
ejpam-4416	406	3	...............	...............	PUNCT
ejpam-4416	406	4	...............	...............	PUNCT
ejpam-4416	406	5	...............	...............	PUNCT
ejpam-4416	406	6	...............	...............	PUNCT
ejpam-4416	406	7	...............	...............	PUNCT
ejpam-4416	406	8	...............	...............	PUNCT
ejpam-4416	406	9	...............	...............	PUNCT
ejpam-4416	406	10	...............	...............	PUNCT
ejpam-4416	406	11	...............	...............	PUNCT
ejpam-4416	406	12	...............	...............	PUNCT
ejpam-4416	406	13	...............	...............	PUNCT
ejpam-4416	406	14	...............	...............	PUNCT
ejpam-4416	406	15	...............	...............	PUNCT
ejpam-4416	406	16	...............	...............	PUNCT
ejpam-4416	406	17	...............	...............	PUNCT
ejpam-4416	406	18	...............	...............	PUNCT
ejpam-4416	406	19	...............	...............	PUNCT
ejpam-4416	406	20	...............	...............	PUNCT
ejpam-4416	406	21	...............	...............	PUNCT
ejpam-4416	406	22	...............	...............	PUNCT
ejpam-4416	406	23	...............	...............	PUNCT
ejpam-4416	406	24	...............	...............	PUNCT
ejpam-4416	406	25	............	............	PUNCT
ejpam-4416	406	26	.............	.............	PUNCT
ejpam-4416	406	27	............	............	PUNCT
ejpam-4416	406	28	............	............	PUNCT
ejpam-4416	406	29	............	............	PUNCT
ejpam-4416	406	30	............	............	PUNCT
ejpam-4416	406	31	............	............	PUNCT
ejpam-4416	406	32	............	............	PUNCT
ejpam-4416	406	33	............	............	PUNCT
ejpam-4416	406	34	............	............	PUNCT
ejpam-4416	406	35	............	............	PUNCT
ejpam-4416	406	36	............	............	PUNCT
ejpam-4416	406	37	............	............	PUNCT
ejpam-4416	406	38	............	............	PUNCT
ejpam-4416	406	39	............	............	PUNCT
ejpam-4416	406	40	............	............	PUNCT
ejpam-4416	406	41	............	............	PUNCT
ejpam-4416	406	42	............	............	PUNCT
ejpam-4416	406	43	............	............	PUNCT
ejpam-4416	406	44	............	............	PUNCT
ejpam-4416	406	45	............	............	PUNCT
ejpam-4416	406	46	............	............	PUNCT
ejpam-4416	406	47	............	............	PUNCT
ejpam-4416	406	48	............	............	PUNCT
ejpam-4416	406	49	............	............	PUNCT
ejpam-4416	406	50	............	............	PUNCT
ejpam-4416	406	51	............	............	PUNCT
ejpam-4416	406	52	............	............	PUNCT
ejpam-4416	406	53	............	............	PUNCT
ejpam-4416	406	54	............	............	PUNCT
ejpam-4416	406	55	............	............	PUNCT
ejpam-4416	406	56	............	............	PUNCT
ejpam-4416	406	57	............	............	PUNCT
ejpam-4416	406	58	............	............	PUNCT
ejpam-4416	406	59	............	............	PUNCT
ejpam-4416	406	60	............	............	PUNCT
ejpam-4416	406	61	.	.	PUNCT
ejpam-4416	407	1	.............................................................................................................	.............................................................................................................	PUNCT
ejpam-4416	407	2	...........................................................................................................................................................................................................................	...........................................................................................................................................................................................................................	PUNCT
ejpam-4416	408	1	............................................................................................................................................................................................................................................................................................................................................................................	............................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	408	2	.....................................	.....................................	PUNCT
ejpam-4416	408	3	.....................................	.....................................	PUNCT
ejpam-4416	408	4	.....................................	.....................................	PUNCT
ejpam-4416	408	5	.....................................	.....................................	PUNCT
ejpam-4416	408	6	.....................................	.....................................	PUNCT
ejpam-4416	408	7	.....................................	.....................................	PUNCT
ejpam-4416	408	8	.....................................	.....................................	PUNCT
ejpam-4416	408	9	.....................................	.....................................	PUNCT
ejpam-4416	408	10	.....................................	.....................................	PUNCT
ejpam-4416	409	1	.....................	.....................	PUNCT
ejpam-4416	409	2	..........................	..........................	PUNCT
ejpam-4416	410	1	.........................	.........................	PUNCT
ejpam-4416	410	2	.........................	.........................	PUNCT
ejpam-4416	410	3	.........................	.........................	PUNCT
ejpam-4416	410	4	.........................	.........................	PUNCT
ejpam-4416	410	5	.........................	.........................	PUNCT
ejpam-4416	410	6	.........................	.........................	PUNCT
ejpam-4416	410	7	.........................	.........................	PUNCT
ejpam-4416	410	8	.........................	.........................	PUNCT
ejpam-4416	410	9	.........................	.........................	PUNCT
ejpam-4416	410	10	.........................	.........................	PUNCT
ejpam-4416	410	11	.........................	.........................	PUNCT
ejpam-4416	410	12	.........................	.........................	PUNCT
ejpam-4416	410	13	.........................	.........................	PUNCT
ejpam-4416	410	14	.........................	.........................	PUNCT
ejpam-4416	410	15	.........................	.........................	PUNCT
ejpam-4416	410	16	.........................	.........................	PUNCT
ejpam-4416	410	17	............	............	PUNCT
ejpam-4416	410	18	..................	..................	PUNCT
ejpam-4416	410	19	.................	.................	PUNCT
ejpam-4416	411	1	.................	.................	PUNCT
ejpam-4416	411	2	.................	.................	PUNCT
ejpam-4416	412	1	.................	.................	PUNCT
ejpam-4416	412	2	.................	.................	PUNCT
ejpam-4416	413	1	.................	.................	PUNCT
ejpam-4416	413	2	.................	.................	PUNCT
ejpam-4416	414	1	.................	.................	PUNCT
ejpam-4416	414	2	.................	.................	PUNCT
ejpam-4416	415	1	.................	.................	PUNCT
ejpam-4416	415	2	.................	.................	PUNCT
ejpam-4416	416	1	.................	.................	PUNCT
ejpam-4416	416	2	.................	.................	PUNCT
ejpam-4416	417	1	.................	.................	PUNCT
ejpam-4416	417	2	.................	.................	PUNCT
ejpam-4416	418	1	.................	.................	PUNCT
ejpam-4416	418	2	.................	.................	PUNCT
ejpam-4416	419	1	.................	.................	PUNCT
ejpam-4416	419	2	.................	.................	PUNCT
ejpam-4416	420	1	.................	.................	PUNCT
ejpam-4416	420	2	.................	.................	PUNCT
ejpam-4416	421	1	.................	.................	PUNCT
ejpam-4416	421	2	.................	.................	PUNCT
ejpam-4416	422	1	.................	.................	PUNCT
ejpam-4416	422	2	.................	.................	PUNCT
ejpam-4416	423	1	.................	.................	PUNCT
ejpam-4416	423	2	.................	.................	PUNCT
ejpam-4416	424	1	......	......	PUNCT
ejpam-4416	424	2	.............................................................................................................................................................................................................	.............................................................................................................................................................................................................	PUNCT
ejpam-4416	425	1	..............................................................................................................................................................................................................................................................................................................	..............................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	425	2	........................................................................................................................................................................................................................................................................................................................................................................................................	........................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	426	1	................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	426	2	...................................................................	...................................................................	PUNCT
ejpam-4416	427	1	...................................................................	...................................................................	PUNCT
ejpam-4416	427	2	...................................................................	...................................................................	PUNCT
ejpam-4416	428	1	...................................................................	...................................................................	PUNCT
ejpam-4416	428	2	...................................................................	...................................................................	PUNCT
ejpam-4416	428	3	...................................................................	...................................................................	PUNCT
ejpam-4416	428	4	......	......	PUNCT
ejpam-4416	428	5	..............................	..............................	PUNCT
ejpam-4416	428	6	.............................	.............................	PUNCT
ejpam-4416	428	7	.............................	.............................	PUNCT
ejpam-4416	428	8	.............................	.............................	PUNCT
ejpam-4416	428	9	.............................	.............................	PUNCT
ejpam-4416	428	10	.............................	.............................	PUNCT
ejpam-4416	428	11	.............................	.............................	PUNCT
ejpam-4416	428	12	.............................	.............................	PUNCT
ejpam-4416	428	13	.............................	.............................	PUNCT
ejpam-4416	428	14	.............................	.............................	PUNCT
ejpam-4416	428	15	.............................	.............................	PUNCT
ejpam-4416	428	16	.............................	.............................	PUNCT
ejpam-4416	428	17	.............................	.............................	PUNCT
ejpam-4416	428	18	.............................	.............................	PUNCT
ejpam-4416	428	19	.............................	.............................	PUNCT
ejpam-4416	428	20	.............................	.............................	PUNCT
ejpam-4416	428	21	.............................	.............................	PUNCT
ejpam-4416	428	22	............	............	PUNCT
ejpam-4416	428	23	..................................................	..................................................	PUNCT
ejpam-4416	428	24	.................................................	.................................................	PUNCT
ejpam-4416	428	25	.................................................	.................................................	PUNCT
ejpam-4416	428	26	.................................................	.................................................	PUNCT
ejpam-4416	428	27	.................................................	.................................................	PUNCT
ejpam-4416	428	28	.................................................	.................................................	PUNCT
ejpam-4416	428	29	.................................................	.................................................	PUNCT
ejpam-4416	428	30	.................................................	.................................................	PUNCT
ejpam-4416	428	31	.................................................	.................................................	PUNCT
ejpam-4416	428	32	.................................................	.................................................	PUNCT
ejpam-4416	428	33	...............................	...............................	PUNCT
ejpam-4416	428	34	..............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	..............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	429	1	......................................................................................................................................................................................................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	429	2	......................................................................................................................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	430	1	..........................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	430	2	....................................................................................................................................................	....................................................................................................................................................	PUNCT
ejpam-4416	431	1	.............................................	.............................................	PUNCT
ejpam-4416	431	2	.....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	.....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	431	3	..........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	432	1	...................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	...................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	433	1	......................................................................................................................................................................................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	433	2	.......................................................................................................................................................................................................................................................................................................................................................	.......................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	434	1	........................................................................................................................................................................................................................................	........................................................................................................................................................................................................................................	PUNCT
ejpam-4416	434	2	....................................................................................................................................	....................................................................................................................................	PUNCT
ejpam-4416	434	3	..................	..................	PUNCT
ejpam-4416	435	1	.................	.................	PUNCT
ejpam-4416	435	2	.................	.................	PUNCT
ejpam-4416	435	3	.......	.......	PUNCT
ejpam-4416	435	4	.............	.............	PUNCT
ejpam-4416	435	5	............	............	PUNCT
ejpam-4416	435	6	............	............	PUNCT
ejpam-4416	435	7	............	............	PUNCT
ejpam-4416	435	8	............	............	PUNCT
ejpam-4416	435	9	.......	.......	PUNCT
ejpam-4416	435	10	...........	...........	PUNCT
ejpam-4416	436	1	..........	..........	PUNCT
ejpam-4416	436	2	..........	..........	PUNCT
ejpam-4416	437	1	..........	..........	PUNCT
ejpam-4416	437	2	..........	..........	PUNCT
ejpam-4416	438	1	..........	..........	PUNCT
ejpam-4416	438	2	..........	..........	PUNCT
ejpam-4416	439	1	..	..	PUNCT
ejpam-4416	439	2	..........	..........	PUNCT
ejpam-4416	440	1	.........	.........	PUNCT
ejpam-4416	440	2	.........	.........	PUNCT
ejpam-4416	441	1	.........	.........	PUNCT
ejpam-4416	441	2	.........	.........	PUNCT
ejpam-4416	442	1	.........	.........	PUNCT
ejpam-4416	442	2	.........	.........	PUNCT
ejpam-4416	443	1	.........	.........	PUNCT
ejpam-4416	443	2	.........	.........	PUNCT
ejpam-4416	443	3	..	..	PUNCT
ejpam-4416	443	4	.........	.........	PUNCT
ejpam-4416	443	5	........	........	PUNCT
ejpam-4416	443	6	........	........	PUNCT
ejpam-4416	443	7	........	........	PUNCT
ejpam-4416	443	8	........	........	PUNCT
ejpam-4416	443	9	........	........	PUNCT
ejpam-4416	443	10	........	........	PUNCT
ejpam-4416	443	11	........	........	PUNCT
ejpam-4416	443	12	........	........	PUNCT
ejpam-4416	443	13	........	........	PUNCT
ejpam-4416	443	14	........	........	PUNCT
ejpam-4416	443	15	...........................................................................................	...........................................................................................	PUNCT
ejpam-4416	443	16	....................................................................................	....................................................................................	PUNCT
ejpam-4416	443	17	.........................................................................	.........................................................................	PUNCT
ejpam-4416	443	18	....................................................................	....................................................................	PUNCT
ejpam-4416	443	19	...........................................................	...........................................................	PUNCT
ejpam-4416	443	20	..................	..................	PUNCT
ejpam-4416	444	1	.................	.................	PUNCT
ejpam-4416	444	2	.................	.................	PUNCT
ejpam-4416	445	1	.................	.................	PUNCT
ejpam-4416	445	2	.................	.................	PUNCT
ejpam-4416	446	1	.................	.................	PUNCT
ejpam-4416	446	2	.................	.................	PUNCT
ejpam-4416	447	1	.................	.................	PUNCT
ejpam-4416	447	2	.................	.................	PUNCT
ejpam-4416	448	1	.................	.................	PUNCT
ejpam-4416	448	2	.................	.................	PUNCT
ejpam-4416	449	1	.................	.................	PUNCT
ejpam-4416	449	2	.........	.........	PUNCT
ejpam-4416	449	3	.............	.............	PUNCT
ejpam-4416	449	4	............	............	PUNCT
ejpam-4416	449	5	............	............	PUNCT
ejpam-4416	449	6	............	............	PUNCT
ejpam-4416	449	7	............	............	PUNCT
ejpam-4416	449	8	............	............	PUNCT
ejpam-4416	449	9	............	............	PUNCT
ejpam-4416	449	10	............	............	PUNCT
ejpam-4416	449	11	............	............	PUNCT
ejpam-4416	449	12	............	............	PUNCT
ejpam-4416	449	13	............	............	PUNCT
ejpam-4416	449	14	............	............	PUNCT
ejpam-4416	449	15	............	............	PUNCT
ejpam-4416	449	16	............	............	PUNCT
ejpam-4416	449	17	............	............	PUNCT
ejpam-4416	449	18	............	............	PUNCT
ejpam-4416	449	19	............	............	PUNCT
ejpam-4416	449	20	............	............	PUNCT
ejpam-4416	449	21	............	............	PUNCT
ejpam-4416	449	22	............	............	PUNCT
ejpam-4416	449	23	...........	...........	PUNCT
ejpam-4416	449	24	..........	..........	PUNCT
ejpam-4416	450	1	..........	..........	PUNCT
ejpam-4416	450	2	..........	..........	PUNCT
ejpam-4416	451	1	..........	..........	PUNCT
ejpam-4416	451	2	..........	..........	PUNCT
ejpam-4416	452	1	..........	..........	PUNCT
ejpam-4416	452	2	..........	..........	PUNCT
ejpam-4416	453	1	..........	..........	PUNCT
ejpam-4416	453	2	..........	..........	PUNCT
ejpam-4416	454	1	..........	..........	PUNCT
ejpam-4416	454	2	..........	..........	PUNCT
ejpam-4416	455	1	..........	..........	PUNCT
ejpam-4416	455	2	..........	..........	PUNCT
ejpam-4416	456	1	..........	..........	PUNCT
ejpam-4416	456	2	..........	..........	PUNCT
ejpam-4416	457	1	..........	..........	PUNCT
ejpam-4416	457	2	..........	..........	PUNCT
ejpam-4416	458	1	..........	..........	PUNCT
ejpam-4416	458	2	..........	..........	PUNCT
ejpam-4416	459	1	..........	..........	PUNCT
ejpam-4416	459	2	..........	..........	PUNCT
ejpam-4416	460	1	..........	..........	PUNCT
ejpam-4416	460	2	..........	..........	PUNCT
ejpam-4416	461	1	..........	..........	PUNCT
ejpam-4416	461	2	......	......	PUNCT
ejpam-4416	462	1	..........	..........	PUNCT
ejpam-4416	462	2	.........	.........	PUNCT
ejpam-4416	463	1	.........	.........	PUNCT
ejpam-4416	463	2	.........	.........	PUNCT
ejpam-4416	464	1	.........	.........	PUNCT
ejpam-4416	464	2	.........	.........	PUNCT
ejpam-4416	465	1	.........	.........	PUNCT
ejpam-4416	465	2	.........	.........	PUNCT
ejpam-4416	466	1	.........	.........	PUNCT
ejpam-4416	466	2	.........	.........	PUNCT
ejpam-4416	467	1	.........	.........	PUNCT
ejpam-4416	467	2	.........	.........	PUNCT
ejpam-4416	468	1	.........	.........	PUNCT
ejpam-4416	468	2	.........	.........	PUNCT
ejpam-4416	469	1	.........	.........	PUNCT
ejpam-4416	469	2	.........	.........	PUNCT
ejpam-4416	470	1	.........	.........	PUNCT
ejpam-4416	470	2	.........	.........	PUNCT
ejpam-4416	471	1	.........	.........	PUNCT
ejpam-4416	471	2	.........	.........	PUNCT
ejpam-4416	472	1	.........	.........	PUNCT
ejpam-4416	472	2	.........	.........	PUNCT
ejpam-4416	473	1	.........	.........	PUNCT
ejpam-4416	473	2	.........	.........	PUNCT
ejpam-4416	474	1	.........	.........	PUNCT
ejpam-4416	474	2	.........	.........	PUNCT
ejpam-4416	475	1	.........	.........	PUNCT
ejpam-4416	475	2	.........	.........	PUNCT
ejpam-4416	476	1	.........	.........	PUNCT
ejpam-4416	476	2	.........	.........	PUNCT
ejpam-4416	477	1	.........	.........	PUNCT
ejpam-4416	477	2	.........	.........	PUNCT
ejpam-4416	477	3	.........	.........	PUNCT
ejpam-4416	477	4	........	........	PUNCT
ejpam-4416	477	5	........	........	PUNCT
ejpam-4416	477	6	........	........	PUNCT
ejpam-4416	477	7	........	........	PUNCT
ejpam-4416	477	8	........	........	PUNCT
ejpam-4416	477	9	........	........	PUNCT
ejpam-4416	477	10	........	........	PUNCT
ejpam-4416	477	11	........	........	PUNCT
ejpam-4416	477	12	........	........	PUNCT
ejpam-4416	477	13	........	........	PUNCT
ejpam-4416	477	14	........	........	PUNCT
ejpam-4416	477	15	........	........	PUNCT
ejpam-4416	477	16	........	........	PUNCT
ejpam-4416	477	17	........	........	PUNCT
ejpam-4416	477	18	........	........	PUNCT
ejpam-4416	477	19	........	........	PUNCT
ejpam-4416	477	20	........	........	PUNCT
ejpam-4416	477	21	........	........	PUNCT
ejpam-4416	477	22	........	........	PUNCT
ejpam-4416	477	23	........	........	PUNCT
ejpam-4416	477	24	........	........	PUNCT
ejpam-4416	477	25	........	........	PUNCT
ejpam-4416	477	26	........	........	PUNCT
ejpam-4416	477	27	........	........	PUNCT
ejpam-4416	477	28	........	........	PUNCT
ejpam-4416	477	29	........	........	PUNCT
ejpam-4416	477	30	........	........	PUNCT
ejpam-4416	477	31	........	........	PUNCT
ejpam-4416	477	32	........	........	PUNCT
ejpam-4416	477	33	........	........	PUNCT
ejpam-4416	477	34	........	........	PUNCT
ejpam-4416	477	35	........	........	PUNCT
ejpam-4416	477	36	........	........	PUNCT
ejpam-4416	477	37	........	........	PUNCT
ejpam-4416	477	38	........	........	PUNCT
ejpam-4416	477	39	........	........	PUNCT
ejpam-4416	477	40	........	........	PUNCT
ejpam-4416	477	41	...	...	PUNCT
ejpam-4416	478	1	....................................................................................................................................................................................................................................................................................................................	....................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	478	2	.................................................................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	478	3	.................................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	478	4	.................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	478	5	......................................................................................................................................................................................................................	......................................................................................................................................................................................................................	PUNCT
ejpam-4416	478	6	....................	....................	PUNCT
ejpam-4416	478	7	........................................	........................................	PUNCT
ejpam-4416	478	8	....................	....................	PUNCT
ejpam-4416	479	1	........................................	........................................	PUNCT
ejpam-4416	479	2	figure	figure	NOUN
ejpam-4416	479	3	3	3	NUM
ejpam-4416	479	4	:	:	PUNCT
ejpam-4416	479	5	the	the	DET
ejpam-4416	479	6	central	central	ADJ
ejpam-4416	479	7	graph	graph	NOUN
ejpam-4416	479	8	of	of	ADP
ejpam-4416	479	9	γcn	γcn	PROPN
ejpam-4416	479	10	(	(	PUNCT
ejpam-4416	479	11	n	n	X
ejpam-4416	479	12	is	be	AUX
ejpam-4416	479	13	odd	odd	ADJ
ejpam-4416	479	14	)	)	PUNCT
ejpam-4416	479	15	.	.	PUNCT
ejpam-4416	480	1	the	the	DET
ejpam-4416	480	2	degrees	degree	NOUN
ejpam-4416	480	3	of	of	ADP
ejpam-4416	480	4	each	each	DET
ejpam-4416	480	5	vertex	vertex	NOUN
ejpam-4416	480	6	in	in	ADP
ejpam-4416	480	7	c(γcn	c(γcn	PROPN
ejpam-4416	480	8	)	)	PUNCT
ejpam-4416	480	9	is	be	AUX
ejpam-4416	480	10	summarized	summarize	VERB
ejpam-4416	480	11	below	below	ADP
ejpam-4416	480	12	:	:	PUNCT
ejpam-4416	480	13	deg(v0	deg(v0	ADJ
ejpam-4416	480	14	)	)	PUNCT
ejpam-4416	481	1	=	=	PUNCT
ejpam-4416	481	2	n−	n−	NOUN
ejpam-4416	481	3	1	1	NUM
ejpam-4416	481	4	deg(vi	deg(vi	NOUN
ejpam-4416	481	5	)	)	PUNCT
ejpam-4416	481	6	=	=	SYM
ejpam-4416	481	7	n−	n−	NOUN
ejpam-4416	481	8	1	1	NUM
ejpam-4416	481	9	;	;	PUNCT
ejpam-4416	481	10	1	1	NUM
ejpam-4416	481	11	≤	≤	NUM
ejpam-4416	481	12	i	i	PRON
ejpam-4416	481	13	≤	≤	ADJ
ejpam-4416	481	14	n−	n−	NOUN
ejpam-4416	481	15	1	1	NUM
ejpam-4416	481	16	deg(c0i	deg(c0i	NOUN
ejpam-4416	481	17	)	)	PUNCT
ejpam-4416	481	18	=	=	SYM
ejpam-4416	481	19	2	2	NUM
ejpam-4416	481	20	;	;	PUNCT
ejpam-4416	481	21	1	1	NUM
ejpam-4416	481	22	≤	≤	NUM
ejpam-4416	482	1	i	i	PRON
ejpam-4416	482	2	≤	≤	ADJ
ejpam-4416	482	3	n−	n−	NOUN
ejpam-4416	482	4	1	1	NUM
ejpam-4416	482	5	deg(c(2i−1)(2i	deg(c(2i−1)(2i	NUM
ejpam-4416	482	6	)	)	PUNCT
ejpam-4416	482	7	)	)	PUNCT
ejpam-4416	483	1	=	=	SYM
ejpam-4416	483	2	2	2	NUM
ejpam-4416	483	3	;	;	PUNCT
ejpam-4416	483	4	1	1	NUM
ejpam-4416	483	5	≤	≤	NUM
ejpam-4416	483	6	i	i	PRON
ejpam-4416	483	7	≤	≤	ADJ
ejpam-4416	483	8	n−	n−	NOUN
ejpam-4416	483	9	1	1	NUM
ejpam-4416	483	10	2	2	NUM
ejpam-4416	483	11	.	.	PUNCT
ejpam-4416	484	1	we	we	PRON
ejpam-4416	484	2	will	will	AUX
ejpam-4416	484	3	sum	sum	VERB
ejpam-4416	484	4	up	up	ADP
ejpam-4416	484	5	all	all	DET
ejpam-4416	484	6	the	the	DET
ejpam-4416	484	7	degrees	degree	NOUN
ejpam-4416	484	8	of	of	ADP
ejpam-4416	484	9	vertices	vertex	NOUN
ejpam-4416	484	10	in	in	ADP
ejpam-4416	484	11	c(γcn	c(γcn	PROPN
ejpam-4416	484	12	)	)	PUNCT
ejpam-4416	484	13	and	and	CCONJ
ejpam-4416	484	14	get∑	get∑	PRON
ejpam-4416	484	15	x∈v	x∈v	PROPN
ejpam-4416	484	16	(	(	PUNCT
ejpam-4416	484	17	c(γcn	c(γcn	PROPN
ejpam-4416	484	18	)	)	PUNCT
ejpam-4416	484	19	)	)	PUNCT
ejpam-4416	485	1	deg(x	deg(x	X
ejpam-4416	485	2	)	)	PUNCT
ejpam-4416	486	1	=	=	SYM
ejpam-4416	486	2	(	(	PUNCT
ejpam-4416	486	3	n−	n−	NOUN
ejpam-4416	486	4	1	1	NUM
ejpam-4416	486	5	)	)	PUNCT
ejpam-4416	486	6	+	+	CCONJ
ejpam-4416	486	7	(	(	PUNCT
ejpam-4416	486	8	n−	n−	NOUN
ejpam-4416	486	9	1)(n−	1)(n−	NUM
ejpam-4416	486	10	1	1	NUM
ejpam-4416	486	11	)	)	PUNCT
ejpam-4416	486	12	+	+	CCONJ
ejpam-4416	487	1	2(n−	2(n−	NUM
ejpam-4416	487	2	1	1	NUM
ejpam-4416	487	3	)	)	PUNCT
ejpam-4416	487	4	+	+	CCONJ
ejpam-4416	487	5	2	2	NUM
ejpam-4416	487	6	(	(	PUNCT
ejpam-4416	487	7	n−	n−	NOUN
ejpam-4416	487	8	1	1	NUM
ejpam-4416	487	9	2	2	NUM
ejpam-4416	487	10	)	)	PUNCT
ejpam-4416	487	11	=	=	SYM
ejpam-4416	487	12	4(n−	4(n−	NUM
ejpam-4416	487	13	1	1	NUM
ejpam-4416	487	14	)	)	PUNCT
ejpam-4416	487	15	+	+	CCONJ
ejpam-4416	487	16	n2	n2	ADJ
ejpam-4416	487	17	−	−	PROPN
ejpam-4416	487	18	2n+	2n+	NUM
ejpam-4416	487	19	1	1	NUM
ejpam-4416	487	20	c.	c.	PROPN
ejpam-4416	487	21	alib	alib	PROPN
ejpam-4416	487	22	,	,	PUNCT
ejpam-4416	487	23	d.	d.	PROPN
ejpam-4416	487	24	magpantay	magpantay	PROPN
ejpam-4416	487	25	/	/	SYM
ejpam-4416	487	26	eur	eur	PROPN
ejpam-4416	487	27	.	.	PUNCT
ejpam-4416	488	1	j.	j.	PROPN
ejpam-4416	488	2	pure	pure	PROPN
ejpam-4416	488	3	appl	appl	PROPN
ejpam-4416	488	4	.	.	PROPN
ejpam-4416	488	5	math	math	PROPN
ejpam-4416	488	6	,	,	PUNCT
ejpam-4416	488	7	15	15	NUM
ejpam-4416	488	8	(	(	PUNCT
ejpam-4416	488	9	3	3	NUM
ejpam-4416	488	10	)	)	PUNCT
ejpam-4416	488	11	(	(	PUNCT
ejpam-4416	488	12	2022	2022	NUM
ejpam-4416	488	13	)	)	PUNCT
ejpam-4416	488	14	,	,	PUNCT
ejpam-4416	488	15	1098	1098	NUM
ejpam-4416	488	16	-	-	SYM
ejpam-4416	488	17	1112	1112	NUM
ejpam-4416	488	18	1104	1104	NUM
ejpam-4416	488	19	=	=	SYM
ejpam-4416	489	1	4n−	4n−	NUM
ejpam-4416	489	2	4	4	NUM
ejpam-4416	489	3	+	+	NOUN
ejpam-4416	489	4	n2	n2	ADJ
ejpam-4416	489	5	−	−	PROPN
ejpam-4416	489	6	2n+	2n+	NUM
ejpam-4416	489	7	1	1	NUM
ejpam-4416	489	8	=	=	NOUN
ejpam-4416	489	9	n2	n2	NOUN
ejpam-4416	489	10	+	+	CCONJ
ejpam-4416	490	1	2n−	2n−	PROPN
ejpam-4416	490	2	3	3	NUM
ejpam-4416	490	3	.	.	PUNCT
ejpam-4416	490	4	by	by	ADP
ejpam-4416	490	5	handsaking	handsake	VERB
ejpam-4416	490	6	lemma	lemma	PROPN
ejpam-4416	490	7	,	,	PUNCT
ejpam-4416	490	8	|e(c(γcn))|	|e(c(γcn))|	NOUN
ejpam-4416	490	9	=	=	SYM
ejpam-4416	490	10	1	1	NUM
ejpam-4416	490	11	2	2	NUM
ejpam-4416	490	12	(	(	PUNCT
ejpam-4416	490	13	∑	∑	PROPN
ejpam-4416	490	14	x∈v	x∈v	PROPN
ejpam-4416	490	15	(	(	PUNCT
ejpam-4416	490	16	c(γcn	c(γcn	PROPN
ejpam-4416	490	17	)	)	PUNCT
ejpam-4416	490	18	)	)	PUNCT
ejpam-4416	491	1	deg(x	deg(x	X
ejpam-4416	491	2	)	)	PUNCT
ejpam-4416	491	3	)	)	PUNCT
ejpam-4416	492	1	=	=	PUNCT
ejpam-4416	492	2	n2	n2	NOUN
ejpam-4416	492	3	+	+	CCONJ
ejpam-4416	493	1	2n−	2n−	NUM
ejpam-4416	493	2	3	3	NUM
ejpam-4416	493	3	2	2	NUM
ejpam-4416	493	4	from	from	ADP
ejpam-4416	493	5	this	this	DET
ejpam-4416	493	6	result	result	NOUN
ejpam-4416	493	7	,	,	PUNCT
ejpam-4416	493	8	we	we	PRON
ejpam-4416	493	9	can	can	AUX
ejpam-4416	493	10	characterize	characterize	VERB
ejpam-4416	493	11	the	the	DET
ejpam-4416	493	12	order	order	NOUN
ejpam-4416	493	13	and	and	CCONJ
ejpam-4416	493	14	size	size	NOUN
ejpam-4416	493	15	of	of	ADP
ejpam-4416	493	16	c(γcn	c(γcn	PROPN
ejpam-4416	493	17	)	)	PUNCT
ejpam-4416	493	18	(	(	PUNCT
ejpam-4416	493	19	n	n	X
ejpam-4416	493	20	is	be	AUX
ejpam-4416	493	21	odd	odd	ADJ
ejpam-4416	493	22	)	)	PUNCT
ejpam-4416	493	23	.	.	PUNCT
ejpam-4416	494	1	proposition	proposition	NOUN
ejpam-4416	494	2	1	1	NUM
ejpam-4416	494	3	.	.	PUNCT
ejpam-4416	495	1	let	let	VERB
ejpam-4416	495	2	cn	cn	PROPN
ejpam-4416	495	3	be	be	AUX
ejpam-4416	495	4	a	a	DET
ejpam-4416	495	5	cyclic	cyclic	ADJ
ejpam-4416	495	6	group	group	NOUN
ejpam-4416	495	7	of	of	ADP
ejpam-4416	495	8	order	order	NOUN
ejpam-4416	495	9	n	n	NOUN
ejpam-4416	495	10	and	and	CCONJ
ejpam-4416	495	11	γcn	γcn	PROPN
ejpam-4416	495	12	be	be	VERB
ejpam-4416	495	13	the	the	DET
ejpam-4416	495	14	identity	identity	NOUN
ejpam-4416	495	15	graph	graph	NOUN
ejpam-4416	495	16	of	of	ADP
ejpam-4416	495	17	cn	cn	PROPN
ejpam-4416	495	18	.	.	PUNCT
ejpam-4416	496	1	if	if	SCONJ
ejpam-4416	496	2	n	n	NOUN
ejpam-4416	496	3	is	be	AUX
ejpam-4416	496	4	odd	odd	ADJ
ejpam-4416	496	5	,	,	PUNCT
ejpam-4416	496	6	then	then	ADV
ejpam-4416	496	7	|v	|v	PROPN
ejpam-4416	496	8	(	(	PUNCT
ejpam-4416	496	9	c(γcn))|	c(γcn))|	X
ejpam-4416	496	10	=	=	SYM
ejpam-4416	496	11	5n−3	5n−3	NUM
ejpam-4416	496	12	2	2	NUM
ejpam-4416	496	13	and	and	CCONJ
ejpam-4416	496	14	|e(c(γcn))|	|e(c(γcn))|	NOUN
ejpam-4416	496	15	=	=	SYM
ejpam-4416	496	16	n2	n2	NOUN
ejpam-4416	496	17	+	+	PROPN
ejpam-4416	496	18	2n−3	2n−3	NUM
ejpam-4416	496	19	2	2	NUM
ejpam-4416	496	20	.	.	PUNCT
ejpam-4416	497	1	proof	proof	NOUN
ejpam-4416	497	2	.	.	PUNCT
ejpam-4416	498	1	let	let	VERB
ejpam-4416	498	2	cn	cn	PROPN
ejpam-4416	498	3	be	be	AUX
ejpam-4416	498	4	a	a	DET
ejpam-4416	498	5	cyclic	cyclic	ADJ
ejpam-4416	498	6	group	group	NOUN
ejpam-4416	498	7	of	of	ADP
ejpam-4416	498	8	order	order	NOUN
ejpam-4416	498	9	n	n	PRON
ejpam-4416	498	10	(	(	PUNCT
ejpam-4416	498	11	n	n	X
ejpam-4416	498	12	is	be	AUX
ejpam-4416	498	13	odd	odd	ADJ
ejpam-4416	498	14	)	)	PUNCT
ejpam-4416	498	15	and	and	CCONJ
ejpam-4416	498	16	γcn	γcn	PROPN
ejpam-4416	498	17	be	be	VERB
ejpam-4416	498	18	the	the	DET
ejpam-4416	498	19	identity	identity	NOUN
ejpam-4416	498	20	graph	graph	NOUN
ejpam-4416	498	21	of	of	ADP
ejpam-4416	498	22	cn	cn	PROPN
ejpam-4416	498	23	.	.	PUNCT
ejpam-4416	498	24	by	by	ADP
ejpam-4416	498	25	theorem	theorem	NOUN
ejpam-4416	498	26	4	4	NUM
ejpam-4416	498	27	,	,	PUNCT
ejpam-4416	498	28	the	the	DET
ejpam-4416	498	29	size	size	NOUN
ejpam-4416	498	30	of	of	ADP
ejpam-4416	498	31	γcn	γcn	PROPN
ejpam-4416	498	32	is	be	AUX
ejpam-4416	498	33	|e(γcn)|	|e(γcn)|	VERB
ejpam-4416	498	34	=	=	PUNCT
ejpam-4416	498	35	3n−3	3n−3	NUM
ejpam-4416	498	36	2	2	NUM
ejpam-4416	498	37	.	.	PUNCT
ejpam-4416	499	1	thus	thus	ADV
ejpam-4416	499	2	,	,	PUNCT
ejpam-4416	499	3	the	the	DET
ejpam-4416	499	4	order	order	NOUN
ejpam-4416	499	5	and	and	CCONJ
ejpam-4416	499	6	size	size	NOUN
ejpam-4416	499	7	of	of	ADP
ejpam-4416	499	8	c(γcn	c(γcn	PROPN
ejpam-4416	499	9	)	)	PUNCT
ejpam-4416	499	10	are	be	AUX
ejpam-4416	499	11	|v	|v	NOUN
ejpam-4416	499	12	(	(	PUNCT
ejpam-4416	499	13	c(γcn))|	c(γcn))|	NOUN
ejpam-4416	499	14	=	=	SYM
ejpam-4416	499	15	n+	n+	NOUN
ejpam-4416	499	16	(	(	PUNCT
ejpam-4416	499	17	3n−	3n−	NUM
ejpam-4416	499	18	3	3	NUM
ejpam-4416	499	19	2	2	NUM
ejpam-4416	499	20	)	)	PUNCT
ejpam-4416	499	21	=	=	SYM
ejpam-4416	500	1	2n+	2n+	NUM
ejpam-4416	500	2	3n−	3n−	NUM
ejpam-4416	500	3	3	3	NUM
ejpam-4416	500	4	2	2	NUM
ejpam-4416	500	5	=	=	SYM
ejpam-4416	500	6	5n−	5n−	NUM
ejpam-4416	500	7	3	3	NUM
ejpam-4416	500	8	2	2	NUM
ejpam-4416	500	9	and	and	CCONJ
ejpam-4416	500	10	|e(c(γcn))|	|e(c(γcn))|	NOUN
ejpam-4416	500	11	=	=	SYM
ejpam-4416	500	12	n(n−	n(n−	VERB
ejpam-4416	500	13	1	1	NUM
ejpam-4416	500	14	)	)	PUNCT
ejpam-4416	500	15	2	2	NUM
ejpam-4416	501	1	+	+	CCONJ
ejpam-4416	501	2	(	(	PUNCT
ejpam-4416	501	3	3n−	3n−	NUM
ejpam-4416	501	4	3	3	NUM
ejpam-4416	501	5	2	2	NUM
ejpam-4416	501	6	)	)	PUNCT
ejpam-4416	501	7	=	=	SYM
ejpam-4416	501	8	n2	n2	NOUN
ejpam-4416	501	9	−	−	PROPN
ejpam-4416	501	10	n+	n+	PUNCT
ejpam-4416	502	1	3n−	3n−	NUM
ejpam-4416	502	2	3	3	NUM
ejpam-4416	502	3	2	2	NUM
ejpam-4416	502	4	=	=	NOUN
ejpam-4416	502	5	n2	n2	NOUN
ejpam-4416	502	6	+	+	CCONJ
ejpam-4416	502	7	2n−	2n−	NUM
ejpam-4416	502	8	3	3	NUM
ejpam-4416	502	9	2	2	NUM
ejpam-4416	502	10	,	,	PUNCT
ejpam-4416	502	11	respectively	respectively	ADV
ejpam-4416	502	12	.	.	PUNCT
ejpam-4416	503	1	illustration	illustration	NOUN
ejpam-4416	503	2	1	1	NUM
ejpam-4416	503	3	.	.	PUNCT
ejpam-4416	504	1	the	the	DET
ejpam-4416	504	2	identity	identity	NOUN
ejpam-4416	504	3	graph	graph	NOUN
ejpam-4416	504	4	of	of	ADP
ejpam-4416	504	5	c9	c9	NOUN
ejpam-4416	504	6	and	and	CCONJ
ejpam-4416	504	7	its	its	PRON
ejpam-4416	504	8	central	central	ADJ
ejpam-4416	504	9	graph	graph	NOUN
ejpam-4416	504	10	is	be	AUX
ejpam-4416	504	11	in	in	ADP
ejpam-4416	504	12	figure	figure	NOUN
ejpam-4416	504	13	4	4	NUM
ejpam-4416	504	14	.	.	PUNCT
ejpam-4416	505	1	γc9	γc9	PROPN
ejpam-4416	505	2	:	:	PUNCT
ejpam-4416	505	3	.........	.........	PUNCT
ejpam-4416	505	4	.....................................................	.....................................................	PUNCT
ejpam-4416	505	5	..	..	PUNCT
ejpam-4416	505	6	.........	.........	PUNCT
ejpam-4416	505	7	.....................................................	.....................................................	PUNCT
ejpam-4416	505	8	..	..	PUNCT
ejpam-4416	505	9	.........	.........	PUNCT
ejpam-4416	505	10	.....................................................	.....................................................	PUNCT
ejpam-4416	505	11	..	..	PUNCT
ejpam-4416	505	12	.........	.........	PUNCT
ejpam-4416	505	13	.....................................................	.....................................................	PUNCT
ejpam-4416	505	14	..	..	PUNCT
ejpam-4416	505	15	.........	.........	PUNCT
ejpam-4416	505	16	.....................................................	.....................................................	PUNCT
ejpam-4416	505	17	..	..	PUNCT
ejpam-4416	505	18	.........	.........	PUNCT
ejpam-4416	505	19	.....................................................	.....................................................	PUNCT
ejpam-4416	505	20	..	..	PUNCT
ejpam-4416	505	21	.........	.........	PUNCT
ejpam-4416	505	22	.....................................................	.....................................................	PUNCT
ejpam-4416	505	23	..	..	PUNCT
ejpam-4416	505	24	.........	.........	PUNCT
ejpam-4416	505	25	.....................................................	.....................................................	PUNCT
ejpam-4416	505	26	..	..	PUNCT
ejpam-4416	505	27	.........	.........	PUNCT
ejpam-4416	505	28	.....................................................	.....................................................	PUNCT
ejpam-4416	505	29	..	..	PUNCT
ejpam-4416	506	1	v0	v0	NOUN
ejpam-4416	506	2	v1	v1	PROPN
ejpam-4416	506	3	v2	v2	PROPN
ejpam-4416	506	4	v3	v3	PROPN
ejpam-4416	506	5	v4v5	v4v5	PROPN
ejpam-4416	506	6	v6	v6	NOUN
ejpam-4416	506	7	v7	v7	VERB
ejpam-4416	506	8	v8	v8	PROPN
ejpam-4416	506	9	...................	...................	PUNCT
ejpam-4416	506	10	..................	..................	PUNCT
ejpam-4416	507	1	..................	..................	PUNCT
ejpam-4416	507	2	..................	..................	PUNCT
ejpam-4416	508	1	..................	..................	PUNCT
ejpam-4416	508	2	..................	..................	PUNCT
ejpam-4416	509	1	..................	..................	PUNCT
ejpam-4416	509	2	..................	..................	PUNCT
ejpam-4416	510	1	..................	..................	PUNCT
ejpam-4416	510	2	..................	..................	PUNCT
ejpam-4416	511	1	..................	..................	PUNCT
ejpam-4416	511	2	..................	..................	PUNCT
ejpam-4416	512	1	..................	..................	PUNCT
ejpam-4416	512	2	..	..	PUNCT
ejpam-4416	512	3	.............	.............	PUNCT
ejpam-4416	512	4	............	............	PUNCT
ejpam-4416	512	5	............	............	PUNCT
ejpam-4416	512	6	............	............	PUNCT
ejpam-4416	512	7	............	............	PUNCT
ejpam-4416	512	8	............	............	PUNCT
ejpam-4416	512	9	............	............	PUNCT
ejpam-4416	512	10	............	............	PUNCT
ejpam-4416	512	11	............	............	PUNCT
ejpam-4416	512	12	............	............	PUNCT
ejpam-4416	512	13	............	............	PUNCT
ejpam-4416	512	14	............	............	PUNCT
ejpam-4416	512	15	............	............	PUNCT
ejpam-4416	512	16	............	............	PUNCT
ejpam-4416	512	17	............	............	PUNCT
ejpam-4416	512	18	............	............	PUNCT
ejpam-4416	512	19	............	............	PUNCT
ejpam-4416	512	20	............	............	PUNCT
ejpam-4416	512	21	............	............	PUNCT
ejpam-4416	512	22	............	............	PUNCT
ejpam-4416	512	23	............	............	PUNCT
ejpam-4416	512	24	...	...	PUNCT
ejpam-4416	513	1	..........	..........	PUNCT
ejpam-4416	513	2	.........	.........	PUNCT
ejpam-4416	514	1	.........	.........	PUNCT
ejpam-4416	514	2	.........	.........	PUNCT
ejpam-4416	515	1	.........	.........	PUNCT
ejpam-4416	515	2	.........	.........	PUNCT
ejpam-4416	516	1	.........	.........	PUNCT
ejpam-4416	516	2	.........	.........	PUNCT
ejpam-4416	517	1	.........	.........	PUNCT
ejpam-4416	517	2	.........	.........	PUNCT
ejpam-4416	518	1	.........	.........	PUNCT
ejpam-4416	518	2	.........	.........	PUNCT
ejpam-4416	519	1	.........	.........	PUNCT
ejpam-4416	519	2	.........	.........	PUNCT
ejpam-4416	520	1	.........	.........	PUNCT
ejpam-4416	520	2	.........	.........	PUNCT
ejpam-4416	521	1	.........	.........	PUNCT
ejpam-4416	521	2	.........	.........	PUNCT
ejpam-4416	522	1	.........	.........	PUNCT
ejpam-4416	522	2	.........	.........	PUNCT
ejpam-4416	523	1	.........	.........	PUNCT
ejpam-4416	523	2	.........	.........	PUNCT
ejpam-4416	524	1	.........	.........	PUNCT
ejpam-4416	524	2	.........	.........	PUNCT
ejpam-4416	525	1	.........	.........	PUNCT
ejpam-4416	525	2	.........	.........	PUNCT
ejpam-4416	526	1	.........	.........	PUNCT
ejpam-4416	526	2	.........	.........	PUNCT
ejpam-4416	527	1	.........	.........	PUNCT
ejpam-4416	527	2	.........	.........	PUNCT
ejpam-4416	528	1	.........	.........	PUNCT
ejpam-4416	528	2	....	....	PUNCT
ejpam-4416	528	3	.........	.........	PUNCT
ejpam-4416	528	4	........	........	PUNCT
ejpam-4416	528	5	........	........	PUNCT
ejpam-4416	528	6	........	........	PUNCT
ejpam-4416	528	7	........	........	PUNCT
ejpam-4416	528	8	........	........	PUNCT
ejpam-4416	528	9	........	........	PUNCT
ejpam-4416	528	10	........	........	PUNCT
ejpam-4416	528	11	........	........	PUNCT
ejpam-4416	528	12	........	........	PUNCT
ejpam-4416	528	13	........	........	PUNCT
ejpam-4416	528	14	........	........	PUNCT
ejpam-4416	528	15	........	........	PUNCT
ejpam-4416	528	16	........	........	PUNCT
ejpam-4416	528	17	........	........	PUNCT
ejpam-4416	528	18	........	........	PUNCT
ejpam-4416	528	19	........	........	PUNCT
ejpam-4416	528	20	........	........	PUNCT
ejpam-4416	528	21	........	........	PUNCT
ejpam-4416	528	22	........	........	PUNCT
ejpam-4416	528	23	........	........	PUNCT
ejpam-4416	528	24	........	........	PUNCT
ejpam-4416	528	25	........	........	PUNCT
ejpam-4416	528	26	........	........	PUNCT
ejpam-4416	528	27	........	........	PUNCT
ejpam-4416	528	28	........	........	PUNCT
ejpam-4416	528	29	........	........	PUNCT
ejpam-4416	528	30	........	........	PUNCT
ejpam-4416	528	31	........	........	PUNCT
ejpam-4416	528	32	........	........	PUNCT
ejpam-4416	528	33	........	........	PUNCT
ejpam-4416	528	34	........	........	PUNCT
ejpam-4416	528	35	........	........	PUNCT
ejpam-4416	528	36	........	........	PUNCT
ejpam-4416	528	37	........	........	PUNCT
ejpam-4416	528	38	........	........	PUNCT
ejpam-4416	529	1	........	........	PUNCT
ejpam-4416	529	2	......................................................................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	530	1	............................................................................................................................................................................................................................................................................................	............................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	530	2	................................................................................................................................................................................................................................................................	................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	531	1	.............................................................................................................................................................................................................................................	.............................................................................................................................................................................................................................................	PUNCT
ejpam-4416	531	2	..........................................................	..........................................................	PUNCT
ejpam-4416	532	1	................................................................................	................................................................................	PUNCT
ejpam-4416	532	2	...............	...............	PUNCT
ejpam-4416	533	1	..............	..............	PUNCT
ejpam-4416	533	2	..............	..............	PUNCT
ejpam-4416	534	1	..............	..............	PUNCT
ejpam-4416	534	2	...........	...........	PUNCT
ejpam-4416	535	1	..........	..........	PUNCT
ejpam-4416	535	2	.........	.........	PUNCT
ejpam-4416	536	1	.........	.........	PUNCT
ejpam-4416	536	2	.........	.........	PUNCT
ejpam-4416	537	1	.........	.........	PUNCT
ejpam-4416	537	2	.........	.........	PUNCT
ejpam-4416	538	1	...	...	PUNCT
ejpam-4416	538	2	c(γc9	c(γc9	X
ejpam-4416	538	3	)	)	PUNCT
ejpam-4416	538	4	:	:	PUNCT
ejpam-4416	538	5	.........	.........	PUNCT
ejpam-4416	538	6	.....................................................	.....................................................	PUNCT
ejpam-4416	538	7	..	..	PUNCT
ejpam-4416	538	8	.........	.........	PUNCT
ejpam-4416	538	9	.....................................................	.....................................................	PUNCT
ejpam-4416	538	10	..	..	PUNCT
ejpam-4416	538	11	.........	.........	PUNCT
ejpam-4416	538	12	.....................................................	.....................................................	PUNCT
ejpam-4416	538	13	..	..	PUNCT
ejpam-4416	538	14	.........	.........	PUNCT
ejpam-4416	538	15	.....................................................	.....................................................	PUNCT
ejpam-4416	538	16	..	..	PUNCT
ejpam-4416	538	17	.........	.........	PUNCT
ejpam-4416	538	18	.....................................................	.....................................................	PUNCT
ejpam-4416	538	19	..	..	PUNCT
ejpam-4416	538	20	.........	.........	PUNCT
ejpam-4416	538	21	.....................................................	.....................................................	PUNCT
ejpam-4416	538	22	..	..	PUNCT
ejpam-4416	538	23	.........	.........	PUNCT
ejpam-4416	538	24	.....................................................	.....................................................	PUNCT
ejpam-4416	538	25	..	..	PUNCT
ejpam-4416	538	26	.........	.........	PUNCT
ejpam-4416	538	27	.....................................................	.....................................................	PUNCT
ejpam-4416	538	28	..	..	PUNCT
ejpam-4416	538	29	.........	.........	PUNCT
ejpam-4416	538	30	.....................................................	.....................................................	PUNCT
ejpam-4416	538	31	..	..	PUNCT
ejpam-4416	538	32	.........	.........	PUNCT
ejpam-4416	538	33	.....................................................	.....................................................	PUNCT
ejpam-4416	538	34	..	..	PUNCT
ejpam-4416	538	35	.........	.........	PUNCT
ejpam-4416	538	36	.....................................................	.....................................................	PUNCT
ejpam-4416	538	37	...........	...........	PUNCT
ejpam-4416	538	38	.....................................................	.....................................................	PUNCT
ejpam-4416	538	39	..	..	PUNCT
ejpam-4416	538	40	.........	.........	PUNCT
ejpam-4416	539	1	.....................................................	.....................................................	PUNCT
ejpam-4416	539	2	..	..	PUNCT
ejpam-4416	540	1	c12	c12	PROPN
ejpam-4416	540	2	c34c56	c34c56	PROPN
ejpam-4416	540	3	c78	c78	PROPN
ejpam-4416	540	4	v0	v0	NOUN
ejpam-4416	540	5	v1	v1	PROPN
ejpam-4416	540	6	v2	v2	PROPN
ejpam-4416	540	7	v3	v3	PROPN
ejpam-4416	540	8	v4v5	v4v5	PROPN
ejpam-4416	540	9	v6	v6	NOUN
ejpam-4416	540	10	v7	v7	VERB
ejpam-4416	540	11	v8	v8	PROPN
ejpam-4416	540	12	.................................................................	.................................................................	PUNCT
ejpam-4416	540	13	...................................................................................................................................................................	...................................................................................................................................................................	PUNCT
ejpam-4416	541	1	.........................................................................................................................................................................................	.........................................................................................................................................................................................	PUNCT
ejpam-4416	541	2	............................................................................................................................................................................................................................................................................	............................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	541	3	................................................................................................	................................................................................................	PUNCT
ejpam-4416	542	1	...........................................................................................................................................................................................................................	...........................................................................................................................................................................................................................	PUNCT
ejpam-4416	542	2	............................................................................................................................................................................................................................................................................................	............................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	542	3	................................................................................................................................................................................................................................................................................................................................................................................................	................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	542	4	.................................	.................................	PUNCT
ejpam-4416	542	5	.................................	.................................	PUNCT
ejpam-4416	542	6	.................................	.................................	PUNCT
ejpam-4416	542	7	.................................	.................................	PUNCT
ejpam-4416	542	8	.................................	.................................	PUNCT
ejpam-4416	543	1	..........................................................................................................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	543	2	......................................................................................................................................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................................................................................................................................	PROPN
ejpam-4416	544	1	......................................................................................................................................................................................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	544	2	...........	...........	PUNCT
ejpam-4416	545	1	..........	..........	PUNCT
ejpam-4416	545	2	..........	..........	PUNCT
ejpam-4416	546	1	..........	..........	PUNCT
ejpam-4416	546	2	..........	..........	PUNCT
ejpam-4416	547	1	..........	..........	PUNCT
ejpam-4416	547	2	....	....	PUNCT
ejpam-4416	548	1	..............	..............	PUNCT
ejpam-4416	548	2	.............	.............	PUNCT
ejpam-4416	548	3	.............	.............	PUNCT
ejpam-4416	548	4	.............	.............	PUNCT
ejpam-4416	548	5	.............	.............	PUNCT
ejpam-4416	548	6	.............	.............	PUNCT
ejpam-4416	548	7	.............	.............	PUNCT
ejpam-4416	548	8	.............	.............	PUNCT
ejpam-4416	548	9	.............	.............	PUNCT
ejpam-4416	548	10	.............	.............	PUNCT
ejpam-4416	548	11	.............	.............	PUNCT
ejpam-4416	548	12	.............	.............	PUNCT
ejpam-4416	548	13	.............	.............	PUNCT
ejpam-4416	548	14	.............	.............	PUNCT
ejpam-4416	548	15	..	..	PUNCT
ejpam-4416	548	16	....................	....................	PUNCT
ejpam-4416	549	1	...................	...................	PUNCT
ejpam-4416	549	2	...................	...................	PUNCT
ejpam-4416	550	1	...................	...................	PUNCT
ejpam-4416	550	2	...................	...................	PUNCT
ejpam-4416	551	1	...................	...................	PUNCT
ejpam-4416	551	2	...................	...................	PUNCT
ejpam-4416	552	1	...................	...................	PUNCT
ejpam-4416	552	2	...................	...................	PUNCT
ejpam-4416	553	1	...................	...................	PUNCT
ejpam-4416	553	2	...................	...................	PUNCT
ejpam-4416	554	1	...................	...................	PUNCT
ejpam-4416	554	2	...................	...................	PUNCT
ejpam-4416	555	1	...................	...................	PUNCT
ejpam-4416	555	2	.................	.................	PUNCT
ejpam-4416	555	3	............................................	............................................	PUNCT
ejpam-4416	555	4	...........................................	...........................................	PUNCT
ejpam-4416	555	5	...........................................	...........................................	PUNCT
ejpam-4416	555	6	...........................................	...........................................	PUNCT
ejpam-4416	555	7	...........................................	...........................................	PUNCT
ejpam-4416	555	8	...........................................	...........................................	PUNCT
ejpam-4416	555	9	...........................................	...........................................	PUNCT
ejpam-4416	556	1	...........................................	...........................................	PUNCT
ejpam-4416	556	2	........................................................................................................................................................................................................................................................................................................................................................................................................................................................	........................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	557	1	......................................................................................................................................................................................................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	557	2	..........	..........	PUNCT
ejpam-4416	558	1	.........	.........	PUNCT
ejpam-4416	558	2	.........	.........	PUNCT
ejpam-4416	559	1	.........	.........	PUNCT
ejpam-4416	559	2	.........	.........	PUNCT
ejpam-4416	560	1	.........	.........	PUNCT
ejpam-4416	560	2	.........	.........	PUNCT
ejpam-4416	561	1	.........	.........	PUNCT
ejpam-4416	561	2	.........	.........	PUNCT
ejpam-4416	562	1	.........	.........	PUNCT
ejpam-4416	562	2	.........	.........	PUNCT
ejpam-4416	563	1	.........	.........	PUNCT
ejpam-4416	563	2	.........	.........	PUNCT
ejpam-4416	564	1	.........	.........	PUNCT
ejpam-4416	564	2	.........	.........	PUNCT
ejpam-4416	565	1	.........	.........	PUNCT
ejpam-4416	565	2	.........	.........	PUNCT
ejpam-4416	566	1	.........	.........	PUNCT
ejpam-4416	566	2	...........	...........	PUNCT
ejpam-4416	566	3	..........	..........	PUNCT
ejpam-4416	567	1	..........	..........	PUNCT
ejpam-4416	567	2	..........	..........	PUNCT
ejpam-4416	568	1	..........	..........	PUNCT
ejpam-4416	568	2	..........	..........	PUNCT
ejpam-4416	569	1	..........	..........	PUNCT
ejpam-4416	569	2	..........	..........	PUNCT
ejpam-4416	570	1	..........	..........	PUNCT
ejpam-4416	570	2	..........	..........	PUNCT
ejpam-4416	571	1	..........	..........	PUNCT
ejpam-4416	571	2	..........	..........	PUNCT
ejpam-4416	572	1	..........	..........	PUNCT
ejpam-4416	572	2	..........	..........	PUNCT
ejpam-4416	573	1	..........	..........	PUNCT
ejpam-4416	573	2	..........	..........	PUNCT
ejpam-4416	574	1	..........	..........	PUNCT
ejpam-4416	574	2	..........	..........	PUNCT
ejpam-4416	575	1	..........	..........	PUNCT
ejpam-4416	575	2	..........	..........	PUNCT
ejpam-4416	576	1	..........	..........	PUNCT
ejpam-4416	576	2	..........	..........	PUNCT
ejpam-4416	577	1	..........	..........	PUNCT
ejpam-4416	577	2	..........	..........	PUNCT
ejpam-4416	578	1	..........	..........	PUNCT
ejpam-4416	578	2	..........	..........	PUNCT
ejpam-4416	578	3	.......	.......	PUNCT
ejpam-4416	579	1	..............	..............	PUNCT
ejpam-4416	579	2	.............	.............	PUNCT
ejpam-4416	579	3	.............	.............	PUNCT
ejpam-4416	579	4	.............	.............	PUNCT
ejpam-4416	579	5	.............	.............	PUNCT
ejpam-4416	579	6	.............	.............	PUNCT
ejpam-4416	579	7	.............	.............	PUNCT
ejpam-4416	579	8	.............	.............	PUNCT
ejpam-4416	579	9	.............	.............	PUNCT
ejpam-4416	579	10	.............	.............	PUNCT
ejpam-4416	579	11	.............	.............	PUNCT
ejpam-4416	579	12	.............	.............	PUNCT
ejpam-4416	579	13	.............	.............	PUNCT
ejpam-4416	579	14	.............	.............	PUNCT
ejpam-4416	579	15	.............	.............	PUNCT
ejpam-4416	579	16	.............	.............	PUNCT
ejpam-4416	579	17	.............	.............	PUNCT
ejpam-4416	579	18	.............	.............	PUNCT
ejpam-4416	579	19	.............	.............	PUNCT
ejpam-4416	579	20	.............	.............	PUNCT
ejpam-4416	579	21	.............	.............	PUNCT
ejpam-4416	579	22	.............	.............	PUNCT
ejpam-4416	579	23	.............	.............	PUNCT
ejpam-4416	579	24	.............	.............	PUNCT
ejpam-4416	580	1	.............	.............	PUNCT
ejpam-4416	580	2	.............	.............	PUNCT
ejpam-4416	580	3	...........	...........	PUNCT
ejpam-4416	580	4	.....................	.....................	PUNCT
ejpam-4416	580	5	....................	....................	PUNCT
ejpam-4416	580	6	....................	....................	PUNCT
ejpam-4416	580	7	....................	....................	PUNCT
ejpam-4416	580	8	....................	....................	PUNCT
ejpam-4416	580	9	....................	....................	PUNCT
ejpam-4416	580	10	....................	....................	PUNCT
ejpam-4416	580	11	....................	....................	PUNCT
ejpam-4416	580	12	....................	....................	PUNCT
ejpam-4416	580	13	....................	....................	PUNCT
ejpam-4416	580	14	....................	....................	PUNCT
ejpam-4416	580	15	....................	....................	PUNCT
ejpam-4416	580	16	....................	....................	PUNCT
ejpam-4416	580	17	....................	....................	PUNCT
ejpam-4416	580	18	....................	....................	PUNCT
ejpam-4416	580	19	....................	....................	PUNCT
ejpam-4416	580	20	....................	....................	PUNCT
ejpam-4416	580	21	....................	....................	PUNCT
ejpam-4416	580	22	....................	....................	PUNCT
ejpam-4416	580	23	....................	....................	PUNCT
ejpam-4416	580	24	....................	....................	PUNCT
ejpam-4416	580	25	.	.	PUNCT
ejpam-4416	580	26	.....................................	.....................................	PUNCT
ejpam-4416	581	1	....................................	....................................	PUNCT
ejpam-4416	581	2	....................................	....................................	PUNCT
ejpam-4416	582	1	....................................	....................................	PUNCT
ejpam-4416	582	2	....................................	....................................	PUNCT
ejpam-4416	583	1	....................................	....................................	PUNCT
ejpam-4416	583	2	....................................	....................................	PUNCT
ejpam-4416	584	1	....................................	....................................	PUNCT
ejpam-4416	584	2	....................................	....................................	PUNCT
ejpam-4416	585	1	....................................	....................................	PUNCT
ejpam-4416	585	2	....................................	....................................	PUNCT
ejpam-4416	586	1	....................................	....................................	PUNCT
ejpam-4416	586	2	.................................................................................................................................................................................................................................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	586	3	.............................................	.............................................	PUNCT
ejpam-4416	586	4	............	............	PUNCT
ejpam-4416	586	5	...........	...........	PUNCT
ejpam-4416	586	6	...........	...........	PUNCT
ejpam-4416	586	7	........	........	PUNCT
ejpam-4416	586	8	...........	...........	PUNCT
ejpam-4416	586	9	..........	..........	PUNCT
ejpam-4416	587	1	..........	..........	PUNCT
ejpam-4416	587	2	..........	..........	PUNCT
ejpam-4416	588	1	..........	..........	PUNCT
ejpam-4416	588	2	..	..	PUNCT
ejpam-4416	588	3	..........................................................................................................	..........................................................................................................	PUNCT
ejpam-4416	588	4	.....................................................	.....................................................	PUNCT
ejpam-4416	589	1	..........................................	..........................................	PUNCT
ejpam-4416	589	2	..........	..........	PUNCT
ejpam-4416	590	1	.........	.........	PUNCT
ejpam-4416	590	2	.........	.........	PUNCT
ejpam-4416	591	1	.........	.........	PUNCT
ejpam-4416	591	2	........	........	PUNCT
ejpam-4416	591	3	..............................................................................................................................................................................	..............................................................................................................................................................................	PUNCT
ejpam-4416	592	1	.................................................................................................................................................................................................................	.................................................................................................................................................................................................................	PROPN
ejpam-4416	592	2	........................................................................................................................................................................................................................................	........................................................................................................................................................................................................................................	PUNCT
ejpam-4416	592	3	...........................................................................................................................................................................................................................................................	...........................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	592	4	........	........	PUNCT
ejpam-4416	592	5	........	........	PUNCT
ejpam-4416	592	6	........	........	PUNCT
ejpam-4416	592	7	........	........	PUNCT
ejpam-4416	592	8	........	........	PUNCT
ejpam-4416	592	9	........	........	PUNCT
ejpam-4416	592	10	........	........	PUNCT
ejpam-4416	592	11	........	........	PUNCT
ejpam-4416	592	12	........	........	PUNCT
ejpam-4416	592	13	........	........	PUNCT
ejpam-4416	592	14	........	........	PUNCT
ejpam-4416	592	15	........	........	PUNCT
ejpam-4416	592	16	........	........	PUNCT
ejpam-4416	592	17	........	........	PUNCT
ejpam-4416	592	18	........	........	PUNCT
ejpam-4416	592	19	........	........	PUNCT
ejpam-4416	592	20	........	........	PUNCT
ejpam-4416	592	21	........	........	PUNCT
ejpam-4416	592	22	........	........	PUNCT
ejpam-4416	592	23	........	........	PUNCT
ejpam-4416	592	24	........	........	PUNCT
ejpam-4416	592	25	........	........	PUNCT
ejpam-4416	592	26	........	........	PUNCT
ejpam-4416	592	27	........	........	PUNCT
ejpam-4416	592	28	........	........	PUNCT
ejpam-4416	592	29	........	........	PUNCT
ejpam-4416	592	30	........	........	PUNCT
ejpam-4416	592	31	........	........	PUNCT
ejpam-4416	592	32	........	........	PUNCT
ejpam-4416	592	33	.	.	PUNCT
ejpam-4416	593	1	...........	...........	PUNCT
ejpam-4416	593	2	..........	..........	PUNCT
ejpam-4416	594	1	..........	..........	PUNCT
ejpam-4416	594	2	..........	..........	PUNCT
ejpam-4416	595	1	..........	..........	PUNCT
ejpam-4416	595	2	..........	..........	PUNCT
ejpam-4416	596	1	..........	..........	PUNCT
ejpam-4416	596	2	..........	..........	PUNCT
ejpam-4416	597	1	..........	..........	PUNCT
ejpam-4416	597	2	..........	..........	PUNCT
ejpam-4416	598	1	..........	..........	PUNCT
ejpam-4416	598	2	..........	..........	PUNCT
ejpam-4416	599	1	..........	..........	PUNCT
ejpam-4416	599	2	..........	..........	PUNCT
ejpam-4416	600	1	..........	..........	PUNCT
ejpam-4416	600	2	..........	..........	PUNCT
ejpam-4416	601	1	..........	..........	PUNCT
ejpam-4416	601	2	..........	..........	PUNCT
ejpam-4416	602	1	..........	..........	PUNCT
ejpam-4416	602	2	..........	..........	PUNCT
ejpam-4416	603	1	..........	..........	PUNCT
ejpam-4416	603	2	..........	..........	PUNCT
ejpam-4416	604	1	..........	..........	PUNCT
ejpam-4416	604	2	.	.	PUNCT
ejpam-4416	604	3	............	............	PUNCT
ejpam-4416	605	1	...........	...........	PUNCT
ejpam-4416	605	2	...........	...........	PUNCT
ejpam-4416	605	3	...........	...........	PUNCT
ejpam-4416	605	4	...........	...........	PUNCT
ejpam-4416	605	5	...........	...........	PUNCT
ejpam-4416	605	6	...........	...........	PUNCT
ejpam-4416	605	7	...........	...........	PUNCT
ejpam-4416	605	8	...........	...........	PUNCT
ejpam-4416	605	9	...........	...........	PUNCT
ejpam-4416	605	10	...........	...........	PUNCT
ejpam-4416	605	11	...........	...........	PUNCT
ejpam-4416	605	12	...........	...........	PUNCT
ejpam-4416	605	13	...........	...........	PUNCT
ejpam-4416	605	14	...........	...........	PUNCT
ejpam-4416	605	15	...........	...........	PUNCT
ejpam-4416	605	16	...........	...........	PUNCT
ejpam-4416	605	17	...........	...........	PUNCT
ejpam-4416	605	18	..........	..........	PUNCT
ejpam-4416	606	1	...................	...................	PUNCT
ejpam-4416	606	2	..................	..................	PUNCT
ejpam-4416	607	1	..................	..................	PUNCT
ejpam-4416	607	2	..................	..................	PUNCT
ejpam-4416	608	1	..................	..................	PUNCT
ejpam-4416	608	2	..................	..................	PUNCT
ejpam-4416	609	1	..................	..................	PUNCT
ejpam-4416	609	2	..................	..................	PUNCT
ejpam-4416	610	1	..................	..................	PUNCT
ejpam-4416	610	2	...........	...........	PUNCT
ejpam-4416	610	3	.............................................	.............................................	PUNCT
ejpam-4416	610	4	.........................................................	.........................................................	PUNCT
ejpam-4416	610	5	.................................................................	.................................................................	PUNCT
ejpam-4416	610	6	.............................................................................	.............................................................................	PUNCT
ejpam-4416	610	7	........	........	PUNCT
ejpam-4416	610	8	........	........	PUNCT
ejpam-4416	610	9	........	........	PUNCT
ejpam-4416	610	10	........	........	PUNCT
ejpam-4416	610	11	........	........	PUNCT
ejpam-4416	610	12	........	........	PUNCT
ejpam-4416	610	13	........	........	PUNCT
ejpam-4416	610	14	...	...	PUNCT
ejpam-4416	611	1	...........	...........	PUNCT
ejpam-4416	611	2	..........	..........	PUNCT
ejpam-4416	612	1	..........	..........	PUNCT
ejpam-4416	612	2	..........	..........	PUNCT
ejpam-4416	613	1	..........	..........	PUNCT
ejpam-4416	613	2	..........	..........	PUNCT
ejpam-4416	614	1	....	....	PUNCT
ejpam-4416	614	2	............	............	PUNCT
ejpam-4416	614	3	...........	...........	PUNCT
ejpam-4416	614	4	...........	...........	PUNCT
ejpam-4416	614	5	...........	...........	PUNCT
ejpam-4416	614	6	...........	...........	PUNCT
ejpam-4416	614	7	.	.	PUNCT
ejpam-4416	615	1	...................	...................	PUNCT
ejpam-4416	615	2	..................	..................	PUNCT
ejpam-4416	616	1	........	........	PUNCT
ejpam-4416	616	2	............................	............................	PUNCT
ejpam-4416	616	3	............................	............................	PUNCT
ejpam-4416	616	4	............................	............................	PUNCT
ejpam-4416	616	5	........................................................	........................................................	PUNCT
ejpam-4416	617	1	............................	............................	PUNCT
ejpam-4416	617	2	............................	............................	PUNCT
ejpam-4416	618	1	............................	............................	PUNCT
ejpam-4416	619	1	c01	c01	PROPN
ejpam-4416	619	2	c02	c02	PROPN
ejpam-4416	619	3	c03c04c05	c03c04c05	PROPN
ejpam-4416	619	4	c06	c06	PROPN
ejpam-4416	619	5	c07	c07	PROPN
ejpam-4416	619	6	c08	c08	PROPN
ejpam-4416	619	7	figure	figure	NOUN
ejpam-4416	619	8	4	4	NUM
ejpam-4416	619	9	:	:	PUNCT
ejpam-4416	619	10	the	the	DET
ejpam-4416	619	11	central	central	ADJ
ejpam-4416	619	12	graph	graph	NOUN
ejpam-4416	619	13	of	of	ADP
ejpam-4416	619	14	γc9	γc9	PROPN
ejpam-4416	619	15	.	.	PUNCT
ejpam-4416	620	1	c.	c.	PROPN
ejpam-4416	620	2	alib	alib	PROPN
ejpam-4416	620	3	,	,	PUNCT
ejpam-4416	620	4	d.	d.	PROPN
ejpam-4416	620	5	magpantay	magpantay	PROPN
ejpam-4416	620	6	/	/	SYM
ejpam-4416	620	7	eur	eur	PROPN
ejpam-4416	620	8	.	.	PUNCT
ejpam-4416	621	1	j.	j.	PROPN
ejpam-4416	621	2	pure	pure	PROPN
ejpam-4416	621	3	appl	appl	PROPN
ejpam-4416	621	4	.	.	PROPN
ejpam-4416	621	5	math	math	PROPN
ejpam-4416	621	6	,	,	PUNCT
ejpam-4416	621	7	15	15	NUM
ejpam-4416	621	8	(	(	PUNCT
ejpam-4416	621	9	3	3	NUM
ejpam-4416	621	10	)	)	PUNCT
ejpam-4416	621	11	(	(	PUNCT
ejpam-4416	621	12	2022	2022	NUM
ejpam-4416	621	13	)	)	PUNCT
ejpam-4416	621	14	,	,	PUNCT
ejpam-4416	621	15	1098	1098	NUM
ejpam-4416	621	16	-	-	SYM
ejpam-4416	621	17	1112	1112	NUM
ejpam-4416	621	18	1105	1105	NUM
ejpam-4416	621	19	definition	definition	NOUN
ejpam-4416	621	20	3.3	3.3	NUM
ejpam-4416	621	21	.	.	PUNCT
ejpam-4416	622	1	let	let	AUX
ejpam-4416	622	2	c(γcn	c(γcn	PROPN
ejpam-4416	622	3	)	)	PUNCT
ejpam-4416	622	4	be	be	VERB
ejpam-4416	622	5	the	the	DET
ejpam-4416	622	6	central	central	ADJ
ejpam-4416	622	7	graph	graph	NOUN
ejpam-4416	622	8	of	of	ADP
ejpam-4416	622	9	γcn	γcn	NOUN
ejpam-4416	622	10	for	for	ADP
ejpam-4416	622	11	any	any	DET
ejpam-4416	622	12	even	even	ADV
ejpam-4416	622	13	integer	integer	PROPN
ejpam-4416	622	14	n.	n.	PROPN
ejpam-4416	622	15	the	the	DET
ejpam-4416	622	16	vertex	vertex	NOUN
ejpam-4416	622	17	-	-	PUNCT
ejpam-4416	622	18	set	set	VERB
ejpam-4416	622	19	and	and	CCONJ
ejpam-4416	622	20	edge	edge	NOUN
ejpam-4416	622	21	-	-	PUNCT
ejpam-4416	622	22	set	set	NOUN
ejpam-4416	622	23	of	of	ADP
ejpam-4416	622	24	c(γcn	c(γcn	PROPN
ejpam-4416	622	25	)	)	PUNCT
ejpam-4416	622	26	is	be	AUX
ejpam-4416	622	27	given	give	VERB
ejpam-4416	622	28	by	by	ADP
ejpam-4416	622	29	v	v	PROPN
ejpam-4416	622	30	(	(	PUNCT
ejpam-4416	622	31	c(γcn	c(γcn	PROPN
ejpam-4416	622	32	)	)	PUNCT
ejpam-4416	622	33	)	)	PUNCT
ejpam-4416	623	1	=	=	PRON
ejpam-4416	623	2	{	{	PUNCT
ejpam-4416	623	3	v0	v0	PROPN
ejpam-4416	623	4	,	,	PUNCT
ejpam-4416	623	5	vi	vi	PROPN
ejpam-4416	623	6	,	,	PUNCT
ejpam-4416	623	7	c0i	c0i	NOUN
ejpam-4416	623	8	:	:	PUNCT
ejpam-4416	623	9	1	1	NUM
ejpam-4416	623	10	≤	≤	NUM
ejpam-4416	624	1	i	i	PRON
ejpam-4416	624	2	≤	≤	ADJ
ejpam-4416	624	3	n−	n−	NOUN
ejpam-4416	624	4	1	1	NUM
ejpam-4416	624	5	}	}	PUNCT
ejpam-4416	624	6	⋃	⋃	NOUN
ejpam-4416	624	7	{	{	PUNCT
ejpam-4416	624	8	c(2i−1)(2i	c(2i−1)(2i	NOUN
ejpam-4416	624	9	)	)	PUNCT
ejpam-4416	624	10	:	:	PUNCT
ejpam-4416	624	11	1	1	NUM
ejpam-4416	624	12	≤	≤	NUM
ejpam-4416	624	13	i	i	PRON
ejpam-4416	624	14	≤	≤	ADJ
ejpam-4416	624	15	n−	n−	NOUN
ejpam-4416	624	16	2	2	NUM
ejpam-4416	624	17	2	2	NUM
ejpam-4416	624	18	}	}	PUNCT
ejpam-4416	624	19	e(c(γcn	e(c(γcn	PROPN
ejpam-4416	624	20	)	)	PUNCT
ejpam-4416	624	21	)	)	PUNCT
ejpam-4416	625	1	=	=	PRON
ejpam-4416	625	2	{	{	PUNCT
ejpam-4416	625	3	(	(	PUNCT
ejpam-4416	625	4	v0	v0	NOUN
ejpam-4416	625	5	,	,	PUNCT
ejpam-4416	625	6	c0i	c0i	NOUN
ejpam-4416	625	7	)	)	PUNCT
ejpam-4416	625	8	,	,	PUNCT
ejpam-4416	625	9	(	(	PUNCT
ejpam-4416	625	10	vi	vi	NOUN
ejpam-4416	625	11	,	,	PUNCT
ejpam-4416	625	12	c0i	c0i	NOUN
ejpam-4416	625	13	)	)	PUNCT
ejpam-4416	625	14	:	:	PUNCT
ejpam-4416	625	15	1	1	NUM
ejpam-4416	625	16	≤	≤	NUM
ejpam-4416	625	17	i	i	PRON
ejpam-4416	625	18	≤	≤	ADJ
ejpam-4416	625	19	n−	n−	NOUN
ejpam-4416	625	20	1}⋃	1}⋃	NUM
ejpam-4416	625	21	{	{	PUNCT
ejpam-4416	625	22	(	(	PUNCT
ejpam-4416	625	23	v2i−1	v2i−1	PROPN
ejpam-4416	625	24	,	,	PUNCT
ejpam-4416	625	25	c(2i−1)(2i	c(2i−1)(2i	PROPN
ejpam-4416	625	26	)	)	PUNCT
ejpam-4416	625	27	)	)	PUNCT
ejpam-4416	625	28	,	,	PUNCT
ejpam-4416	625	29	(	(	PUNCT
ejpam-4416	625	30	v2i	v2i	NOUN
ejpam-4416	625	31	,	,	PUNCT
ejpam-4416	625	32	c(2i−1)(2i	c(2i−1)(2i	NOUN
ejpam-4416	625	33	)	)	PUNCT
ejpam-4416	625	34	)	)	PUNCT
ejpam-4416	625	35	:	:	PUNCT
ejpam-4416	625	36	1	1	NUM
ejpam-4416	625	37	≤	≤	NUM
ejpam-4416	625	38	i	i	PRON
ejpam-4416	625	39	≤	≤	ADJ
ejpam-4416	625	40	n−	n−	NOUN
ejpam-4416	625	41	2	2	NUM
ejpam-4416	625	42	2	2	NUM
ejpam-4416	625	43	}	}	PUNCT
ejpam-4416	625	44	⋃	⋃	NOUN
ejpam-4416	625	45	{	{	PUNCT
ejpam-4416	625	46	(	(	PUNCT
ejpam-4416	625	47	vi	vi	NOUN
ejpam-4416	625	48	,	,	PUNCT
ejpam-4416	625	49	vj	vj	PROPN
ejpam-4416	625	50	)	)	PUNCT
ejpam-4416	625	51	:	:	PUNCT
ejpam-4416	625	52	1	1	NUM
ejpam-4416	625	53	≤	≤	NUM
ejpam-4416	625	54	i	i	PRON
ejpam-4416	625	55	≤	≤	ADJ
ejpam-4416	625	56	n−	n−	PROPN
ejpam-4416	625	57	3	3	NUM
ejpam-4416	625	58	,	,	PUNCT
ejpam-4416	625	59	i+	i+	ADV
ejpam-4416	625	60	2	2	NUM
ejpam-4416	625	61	≤	≤	NUM
ejpam-4416	625	62	j	j	PROPN
ejpam-4416	625	63	≤	≤	PROPN
ejpam-4416	625	64	n−	n−	PROPN
ejpam-4416	625	65	1}⋃	1}⋃	NUM
ejpam-4416	625	66	{	{	PUNCT
ejpam-4416	625	67	(	(	PUNCT
ejpam-4416	625	68	v2i	v2i	NOUN
ejpam-4416	625	69	,	,	PUNCT
ejpam-4416	625	70	v2i+1	v2i+1	NOUN
ejpam-4416	625	71	)	)	PUNCT
ejpam-4416	625	72	:	:	PUNCT
ejpam-4416	625	73	1	1	NUM
ejpam-4416	625	74	≤	≤	NUM
ejpam-4416	625	75	i	i	PRON
ejpam-4416	625	76	≤	≤	ADJ
ejpam-4416	625	77	n−	n−	NOUN
ejpam-4416	625	78	2	2	NUM
ejpam-4416	625	79	2	2	NUM
ejpam-4416	625	80	}	}	PUNCT
ejpam-4416	625	81	,	,	PUNCT
ejpam-4416	625	82	respectively	respectively	ADV
ejpam-4416	625	83	.	.	PUNCT
ejpam-4416	625	84	..........	..........	PUNCT
ejpam-4416	625	85	.............................................	.............................................	PUNCT
ejpam-4416	625	86	.	.	PUNCT
ejpam-4416	626	1	..........	..........	PUNCT
ejpam-4416	626	2	.............................................	.............................................	PUNCT
ejpam-4416	626	3	.	.	PUNCT
ejpam-4416	627	1	..........	..........	PUNCT
ejpam-4416	627	2	.............................................	.............................................	PUNCT
ejpam-4416	627	3	.	.	PUNCT
ejpam-4416	628	1	..........	..........	PUNCT
ejpam-4416	628	2	.............................................	.............................................	PUNCT
ejpam-4416	628	3	.	.	PUNCT
ejpam-4416	629	1	..........	..........	PUNCT
ejpam-4416	629	2	.............................................	.............................................	PUNCT
ejpam-4416	629	3	.	.	PUNCT
ejpam-4416	630	1	..........	..........	PUNCT
ejpam-4416	630	2	.............................................	.............................................	PUNCT
ejpam-4416	630	3	.	.	PUNCT
ejpam-4416	631	1	..........	..........	PUNCT
ejpam-4416	631	2	.............................................	.............................................	PUNCT
ejpam-4416	631	3	.	.	PUNCT
ejpam-4416	632	1	..........	..........	PUNCT
ejpam-4416	632	2	.............................................	.............................................	PUNCT
ejpam-4416	632	3	.	.	PUNCT
ejpam-4416	633	1	..........	..........	PUNCT
ejpam-4416	633	2	.............................................	.............................................	PUNCT
ejpam-4416	633	3	.	.	PUNCT
ejpam-4416	634	1	..........	..........	PUNCT
ejpam-4416	634	2	.............................................	.............................................	PUNCT
ejpam-4416	634	3	.	.	PUNCT
ejpam-4416	635	1	..............................................................................................................................................................................................................................................................	..............................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	635	2	...........	...........	PUNCT
ejpam-4416	636	1	..........	..........	PUNCT
ejpam-4416	636	2	..........	..........	PUNCT
ejpam-4416	637	1	..........	..........	PUNCT
ejpam-4416	637	2	..........	..........	PUNCT
ejpam-4416	638	1	..........	..........	PUNCT
ejpam-4416	638	2	..........	..........	PUNCT
ejpam-4416	639	1	..........	..........	PUNCT
ejpam-4416	639	2	..........	..........	PUNCT
ejpam-4416	640	1	..........	..........	PUNCT
ejpam-4416	640	2	..........	..........	PUNCT
ejpam-4416	641	1	..........	..........	PUNCT
ejpam-4416	641	2	..........	..........	PUNCT
ejpam-4416	642	1	..........	..........	PUNCT
ejpam-4416	642	2	..........	..........	PUNCT
ejpam-4416	643	1	..........	..........	PUNCT
ejpam-4416	643	2	..........	..........	PUNCT
ejpam-4416	644	1	..........	..........	PUNCT
ejpam-4416	644	2	..........	..........	PUNCT
ejpam-4416	645	1	..........	..........	PUNCT
ejpam-4416	645	2	..........	..........	PUNCT
ejpam-4416	646	1	..........	..........	PUNCT
ejpam-4416	646	2	..........	..........	PUNCT
ejpam-4416	647	1	..........	..........	PUNCT
ejpam-4416	647	2	..........	..........	PUNCT
ejpam-4416	648	1	..........	..........	PUNCT
ejpam-4416	648	2	..........	..........	PUNCT
ejpam-4416	649	1	..........	..........	PUNCT
ejpam-4416	649	2	..........	..........	PUNCT
ejpam-4416	650	1	..........	..........	PUNCT
ejpam-4416	650	2	..........	..........	PUNCT
ejpam-4416	651	1	..........	..........	PUNCT
ejpam-4416	651	2	.............................................	.............................................	PUNCT
ejpam-4416	651	3	.	.	PUNCT
ejpam-4416	652	1	.............................................................	.............................................................	PUNCT
ejpam-4416	653	1	..........	..........	PUNCT
ejpam-4416	653	2	.............................................	.............................................	PUNCT
ejpam-4416	653	3	.	.	PUNCT
ejpam-4416	654	1	..........	..........	PUNCT
ejpam-4416	654	2	.........	.........	PUNCT
ejpam-4416	655	1	.........	.........	PUNCT
ejpam-4416	655	2	.........	.........	PUNCT
ejpam-4416	656	1	.........	.........	PUNCT
ejpam-4416	656	2	.........	.........	PUNCT
ejpam-4416	657	1	.........	.........	PUNCT
ejpam-4416	657	2	.........	.........	PUNCT
ejpam-4416	658	1	.........	.........	PUNCT
ejpam-4416	658	2	.........	.........	PUNCT
ejpam-4416	659	1	.........	.........	PUNCT
ejpam-4416	659	2	.........	.........	PUNCT
ejpam-4416	660	1	.........	.........	PUNCT
ejpam-4416	660	2	.........	.........	PUNCT
ejpam-4416	661	1	.........	.........	PUNCT
ejpam-4416	661	2	.........	.........	PUNCT
ejpam-4416	662	1	.........	.........	PUNCT
ejpam-4416	662	2	.........	.........	PUNCT
ejpam-4416	663	1	.........	.........	PUNCT
ejpam-4416	663	2	.........	.........	PUNCT
ejpam-4416	664	1	.........	.........	PUNCT
ejpam-4416	664	2	.........	.........	PUNCT
ejpam-4416	665	1	.........	.........	PUNCT
ejpam-4416	665	2	.........	.........	PUNCT
ejpam-4416	666	1	.........	.........	PUNCT
ejpam-4416	666	2	.........	.........	PUNCT
ejpam-4416	667	1	.........	.........	PUNCT
ejpam-4416	667	2	.........	.........	PUNCT
ejpam-4416	668	1	.........	.........	PUNCT
ejpam-4416	668	2	.........	.........	PUNCT
ejpam-4416	669	1	.........	.........	PUNCT
ejpam-4416	669	2	.........	.........	PUNCT
ejpam-4416	670	1	.........	.........	PUNCT
ejpam-4416	670	2	.........	.........	PUNCT
ejpam-4416	671	1	.........	.........	PUNCT
ejpam-4416	671	2	.........	.........	PUNCT
ejpam-4416	672	1	.........	.........	PUNCT
ejpam-4416	672	2	.........	.........	PUNCT
ejpam-4416	673	1	..........	..........	PUNCT
ejpam-4416	673	2	.............................................	.............................................	PUNCT
ejpam-4416	673	3	.	.	PUNCT
ejpam-4416	674	1	..........	..........	PUNCT
ejpam-4416	674	2	.............................................	.............................................	PUNCT
ejpam-4416	674	3	.	.	PUNCT
ejpam-4416	674	4	.............	.............	PUNCT
ejpam-4416	674	5	............	............	PUNCT
ejpam-4416	674	6	............	............	PUNCT
ejpam-4416	674	7	............	............	PUNCT
ejpam-4416	674	8	............	............	PUNCT
ejpam-4416	674	9	............	............	PUNCT
ejpam-4416	674	10	............	............	PUNCT
ejpam-4416	674	11	............	............	PUNCT
ejpam-4416	674	12	............	............	PUNCT
ejpam-4416	674	13	............	............	PUNCT
ejpam-4416	674	14	............	............	PUNCT
ejpam-4416	674	15	............	............	PUNCT
ejpam-4416	674	16	............	............	PUNCT
ejpam-4416	674	17	............	............	PUNCT
ejpam-4416	674	18	............	............	PUNCT
ejpam-4416	674	19	............	............	PUNCT
ejpam-4416	674	20	............	............	PUNCT
ejpam-4416	674	21	............	............	PUNCT
ejpam-4416	674	22	............	............	PUNCT
ejpam-4416	674	23	............	............	PUNCT
ejpam-4416	674	24	............	............	PUNCT
ejpam-4416	674	25	............	............	PUNCT
ejpam-4416	674	26	............	............	PUNCT
ejpam-4416	674	27	.......	.......	PUNCT
ejpam-4416	675	1	..........	..........	PUNCT
ejpam-4416	675	2	.............................................	.............................................	PUNCT
ejpam-4416	675	3	.	.	PUNCT
ejpam-4416	676	1	............................................................	............................................................	PUNCT
ejpam-4416	676	2	..........	..........	PUNCT
ejpam-4416	677	1	.............................................	.............................................	PUNCT
ejpam-4416	677	2	.	.	PUNCT
ejpam-4416	678	1	..................	..................	PUNCT
ejpam-4416	678	2	.................	.................	PUNCT
ejpam-4416	679	1	.................	.................	PUNCT
ejpam-4416	679	2	.................	.................	PUNCT
ejpam-4416	680	1	.................	.................	PUNCT
ejpam-4416	680	2	.................	.................	PUNCT
ejpam-4416	681	1	.................	.................	PUNCT
ejpam-4416	681	2	.................	.................	PUNCT
ejpam-4416	682	1	.................	.................	PUNCT
ejpam-4416	682	2	.................	.................	PUNCT
ejpam-4416	683	1	.................	.................	PUNCT
ejpam-4416	683	2	.................	.................	PUNCT
ejpam-4416	684	1	.................	.................	PUNCT
ejpam-4416	684	2	.................	.................	PUNCT
ejpam-4416	684	3	...............	...............	PUNCT
ejpam-4416	685	1	..........	..........	PUNCT
ejpam-4416	685	2	.............................................	.............................................	PUNCT
ejpam-4416	685	3	.	.	PUNCT
ejpam-4416	686	1	..........	..........	PUNCT
ejpam-4416	686	2	.............................................	.............................................	PUNCT
ejpam-4416	686	3	.	.	PUNCT
ejpam-4416	687	1	.........	.........	PUNCT
ejpam-4416	687	2	........	........	PUNCT
ejpam-4416	687	3	........	........	PUNCT
ejpam-4416	687	4	........	........	PUNCT
ejpam-4416	687	5	........	........	PUNCT
ejpam-4416	687	6	........	........	PUNCT
ejpam-4416	687	7	........	........	PUNCT
ejpam-4416	687	8	........	........	PUNCT
ejpam-4416	687	9	........	........	PUNCT
ejpam-4416	687	10	........	........	PUNCT
ejpam-4416	687	11	........	........	PUNCT
ejpam-4416	687	12	........	........	PUNCT
ejpam-4416	687	13	........	........	PUNCT
ejpam-4416	687	14	........	........	PUNCT
ejpam-4416	687	15	........	........	PUNCT
ejpam-4416	687	16	........	........	PUNCT
ejpam-4416	687	17	........	........	PUNCT
ejpam-4416	687	18	........	........	PUNCT
ejpam-4416	687	19	........	........	PUNCT
ejpam-4416	687	20	........	........	PUNCT
ejpam-4416	687	21	........	........	PUNCT
ejpam-4416	687	22	........	........	PUNCT
ejpam-4416	687	23	........	........	PUNCT
ejpam-4416	687	24	........	........	PUNCT
ejpam-4416	687	25	........	........	PUNCT
ejpam-4416	687	26	........	........	PUNCT
ejpam-4416	687	27	........	........	PUNCT
ejpam-4416	687	28	........	........	PUNCT
ejpam-4416	687	29	........	........	PUNCT
ejpam-4416	687	30	........	........	PUNCT
ejpam-4416	687	31	........	........	PUNCT
ejpam-4416	687	32	........	........	PUNCT
ejpam-4416	687	33	........	........	PUNCT
ejpam-4416	687	34	........	........	PUNCT
ejpam-4416	687	35	........	........	PUNCT
ejpam-4416	687	36	........	........	PUNCT
ejpam-4416	687	37	........	........	PUNCT
ejpam-4416	687	38	........	........	PUNCT
ejpam-4416	687	39	........	........	PUNCT
ejpam-4416	687	40	........	........	PUNCT
ejpam-4416	687	41	........	........	PUNCT
ejpam-4416	687	42	........	........	PUNCT
ejpam-4416	687	43	........	........	PUNCT
ejpam-4416	687	44	........	........	PUNCT
ejpam-4416	688	1	........	........	PUNCT
ejpam-4416	688	2	.	.	PUNCT
ejpam-4416	689	1	..........	..........	PUNCT
ejpam-4416	689	2	.............................................	.............................................	PUNCT
ejpam-4416	689	3	.	.	PUNCT
ejpam-4416	690	1	..............................................................................................	..............................................................................................	PUNCT
ejpam-4416	690	2	.............................................	.............................................	PUNCT
ejpam-4416	690	3	.	.	PUNCT
ejpam-4416	690	4	..........................................................................................................................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	691	1	..........	..........	PUNCT
ejpam-4416	691	2	.............................................	.............................................	PUNCT
ejpam-4416	691	3	.	.	PUNCT
ejpam-4416	692	1	..........	..........	PUNCT
ejpam-4416	692	2	.............................................	.............................................	PUNCT
ejpam-4416	692	3	.................................................................................................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	693	1	..........	..........	PUNCT
ejpam-4416	694	1	.............................................	.............................................	PUNCT
ejpam-4416	694	2	.	.	PUNCT
ejpam-4416	695	1	..........	..........	PUNCT
ejpam-4416	695	2	.........	.........	PUNCT
ejpam-4416	696	1	.........	.........	PUNCT
ejpam-4416	696	2	.........	.........	PUNCT
ejpam-4416	697	1	.........	.........	PUNCT
ejpam-4416	697	2	.........	.........	PUNCT
ejpam-4416	698	1	.........	.........	PUNCT
ejpam-4416	698	2	...	...	PUNCT
ejpam-4416	699	1	..........	..........	PUNCT
ejpam-4416	699	2	.............................................	.............................................	PUNCT
ejpam-4416	699	3	.	.	PUNCT
ejpam-4416	700	1	............................................................................................................................................................................................................................................................................................	............................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	700	2	..........	..........	PUNCT
ejpam-4416	701	1	.............................................	.............................................	PUNCT
ejpam-4416	701	2	.	.	PUNCT
ejpam-4416	702	1	..........	..........	PUNCT
ejpam-4416	702	2	.............................................	.............................................	PUNCT
ejpam-4416	702	3	.	.	PUNCT
ejpam-4416	703	1	v0	v0	PROPN
ejpam-4416	703	2	vn−1	vn−1	PROPN
ejpam-4416	703	3	vn−2	vn−2	PROPN
ejpam-4416	703	4	vn−3	vn−3	PROPN
ejpam-4416	703	5	v6v5	v6v5	PUNCT
ejpam-4416	703	6	v4	v4	PROPN
ejpam-4416	703	7	v3	v3	PROPN
ejpam-4416	703	8	v2	v2	PROPN
ejpam-4416	703	9	v1	v1	PROPN
ejpam-4416	703	10	....................	....................	PUNCT
ejpam-4416	703	11	....................	....................	PUNCT
ejpam-4416	704	1	....................	....................	PUNCT
ejpam-4416	705	1	figure	figure	NOUN
ejpam-4416	705	2	5	5	NUM
ejpam-4416	705	3	:	:	PUNCT
ejpam-4416	705	4	the	the	DET
ejpam-4416	705	5	identity	identity	NOUN
ejpam-4416	705	6	graph	graph	NOUN
ejpam-4416	705	7	of	of	ADP
ejpam-4416	705	8	even	even	ADV
ejpam-4416	705	9	cyclic	cyclic	ADJ
ejpam-4416	705	10	group	group	NOUN
ejpam-4416	705	11	..........	..........	PUNCT
ejpam-4416	705	12	.............................................	.............................................	PUNCT
ejpam-4416	705	13	.	.	PUNCT
ejpam-4416	706	1	..........	..........	PUNCT
ejpam-4416	706	2	.............................................	.............................................	PUNCT
ejpam-4416	706	3	.	.	PUNCT
ejpam-4416	707	1	..........	..........	PUNCT
ejpam-4416	707	2	.............................................	.............................................	PUNCT
ejpam-4416	707	3	.	.	PUNCT
ejpam-4416	708	1	..........	..........	PUNCT
ejpam-4416	708	2	.............................................	.............................................	PUNCT
ejpam-4416	708	3	.	.	PUNCT
ejpam-4416	709	1	..........	..........	PUNCT
ejpam-4416	709	2	.............................................	.............................................	PUNCT
ejpam-4416	709	3	.	.	PUNCT
ejpam-4416	710	1	..........	..........	PUNCT
ejpam-4416	710	2	.............................................	.............................................	PUNCT
ejpam-4416	710	3	.	.	PUNCT
ejpam-4416	711	1	..........	..........	PUNCT
ejpam-4416	711	2	.............................................	.............................................	PUNCT
ejpam-4416	711	3	.	.	PUNCT
ejpam-4416	712	1	..........	..........	PUNCT
ejpam-4416	712	2	.............................................	.............................................	PUNCT
ejpam-4416	712	3	.	.	PUNCT
ejpam-4416	713	1	..........	..........	PUNCT
ejpam-4416	713	2	.............................................	.............................................	PUNCT
ejpam-4416	713	3	.	.	PUNCT
ejpam-4416	714	1	..........	..........	PUNCT
ejpam-4416	714	2	.............................................	.............................................	PUNCT
ejpam-4416	714	3	.	.	PUNCT
ejpam-4416	715	1	..........	..........	PUNCT
ejpam-4416	715	2	.............................................	.............................................	PUNCT
ejpam-4416	715	3	.	.	PUNCT
ejpam-4416	716	1	..........	..........	PUNCT
ejpam-4416	716	2	.............................................	.............................................	PUNCT
ejpam-4416	716	3	.	.	PUNCT
ejpam-4416	717	1	..........	..........	PUNCT
ejpam-4416	717	2	.............................................	.............................................	PUNCT
ejpam-4416	717	3	.	.	PUNCT
ejpam-4416	718	1	..........	..........	PUNCT
ejpam-4416	718	2	.............................................	.............................................	PUNCT
ejpam-4416	718	3	.	.	PUNCT
ejpam-4416	719	1	c01	c01	PROPN
ejpam-4416	719	2	c02c03c04c05	c02c03c04c05	PROPN
ejpam-4416	719	3	c06	c06	PROPN
ejpam-4416	719	4	c0(n−3	c0(n−3	NOUN
ejpam-4416	719	5	)	)	PUNCT
ejpam-4416	719	6	c0(n−2	c0(n−2	PROPN
ejpam-4416	719	7	)	)	PUNCT
ejpam-4416	719	8	c0(n−1	c0(n−1	NOUN
ejpam-4416	719	9	)	)	PUNCT
ejpam-4416	719	10	c12	c12	PROPN
ejpam-4416	719	11	c34	c34	PRON
ejpam-4416	719	12	c56	c56	NOUN
ejpam-4416	719	13	c(n−3)(n−2	c(n−3)(n−2	NOUN
ejpam-4416	719	14	)	)	PUNCT
ejpam-4416	719	15	.........	.........	PUNCT
ejpam-4416	720	1	........	........	PUNCT
ejpam-4416	720	2	........	........	PUNCT
ejpam-4416	720	3	........	........	PUNCT
ejpam-4416	720	4	........	........	PUNCT
ejpam-4416	720	5	........	........	PUNCT
ejpam-4416	720	6	........	........	PUNCT
ejpam-4416	721	1	......	......	PUNCT
ejpam-4416	721	2	..........	..........	PUNCT
ejpam-4416	722	1	.........	.........	PUNCT
ejpam-4416	722	2	.........	.........	PUNCT
ejpam-4416	723	1	.........	.........	PUNCT
ejpam-4416	723	2	.........	.........	PUNCT
ejpam-4416	724	1	.........	.........	PUNCT
ejpam-4416	724	2	.........	.........	PUNCT
ejpam-4416	725	1	.........	.........	PUNCT
ejpam-4416	725	2	.........	.........	PUNCT
ejpam-4416	726	1	.........	.........	PUNCT
ejpam-4416	726	2	.........	.........	PUNCT
ejpam-4416	727	1	.........	.........	PUNCT
ejpam-4416	727	2	.........	.........	PUNCT
ejpam-4416	728	1	.........	.........	PUNCT
ejpam-4416	728	2	.........	.........	PUNCT
ejpam-4416	728	3	.........	.........	PUNCT
ejpam-4416	728	4	.	.	PUNCT
ejpam-4416	728	5	...............	...............	PUNCT
ejpam-4416	729	1	..............	..............	PUNCT
ejpam-4416	729	2	..............	..............	PUNCT
ejpam-4416	729	3	.............	.............	PUNCT
ejpam-4416	730	1	..............	..............	PUNCT
ejpam-4416	730	2	..............	..............	PUNCT
ejpam-4416	731	1	..............	..............	PUNCT
ejpam-4416	731	2	..............	..............	PUNCT
ejpam-4416	732	1	..............	..............	PUNCT
ejpam-4416	732	2	..............	..............	PUNCT
ejpam-4416	733	1	..............	..............	PUNCT
ejpam-4416	733	2	....	....	PUNCT
ejpam-4416	734	1	............	............	PUNCT
ejpam-4416	734	2	...........	...........	PUNCT
ejpam-4416	734	3	...........	...........	PUNCT
ejpam-4416	734	4	...........	...........	PUNCT
ejpam-4416	734	5	...........	...........	PUNCT
ejpam-4416	734	6	...........	...........	PUNCT
ejpam-4416	734	7	...........	...........	PUNCT
ejpam-4416	734	8	...........	...........	PUNCT
ejpam-4416	734	9	...........	...........	PUNCT
ejpam-4416	734	10	...........	...........	PUNCT
ejpam-4416	734	11	...........	...........	PUNCT
ejpam-4416	734	12	...........	...........	PUNCT
ejpam-4416	734	13	...........	...........	PUNCT
ejpam-4416	734	14	...........	...........	PUNCT
ejpam-4416	734	15	...........	...........	PUNCT
ejpam-4416	734	16	...........	...........	PUNCT
ejpam-4416	734	17	...........	...........	PUNCT
ejpam-4416	734	18	...........	...........	PUNCT
ejpam-4416	734	19	...........	...........	PUNCT
ejpam-4416	734	20	...........	...........	PUNCT
ejpam-4416	734	21	...........	...........	PUNCT
ejpam-4416	734	22	....	....	PUNCT
ejpam-4416	734	23	...........	...........	PUNCT
ejpam-4416	734	24	..........	..........	PUNCT
ejpam-4416	735	1	..........	..........	PUNCT
ejpam-4416	735	2	..........	..........	PUNCT
ejpam-4416	736	1	..........	..........	PUNCT
ejpam-4416	736	2	..........	..........	PUNCT
ejpam-4416	737	1	..........	..........	PUNCT
ejpam-4416	737	2	..........	..........	PUNCT
ejpam-4416	738	1	..........	..........	PUNCT
ejpam-4416	738	2	..........	..........	PUNCT
ejpam-4416	739	1	..........	..........	PUNCT
ejpam-4416	739	2	..........	..........	PUNCT
ejpam-4416	740	1	..........	..........	PUNCT
ejpam-4416	740	2	..........	..........	PUNCT
ejpam-4416	741	1	..........	..........	PUNCT
ejpam-4416	741	2	..........	..........	PUNCT
ejpam-4416	742	1	..........	..........	PUNCT
ejpam-4416	742	2	..........	..........	PUNCT
ejpam-4416	743	1	..........	..........	PUNCT
ejpam-4416	743	2	..........	..........	PUNCT
ejpam-4416	744	1	..........	..........	PUNCT
ejpam-4416	744	2	..........	..........	PUNCT
ejpam-4416	745	1	..........	..........	PUNCT
ejpam-4416	745	2	..........	..........	PUNCT
ejpam-4416	746	1	..........	..........	PUNCT
ejpam-4416	746	2	..........	..........	PUNCT
ejpam-4416	747	1	..........	..........	PUNCT
ejpam-4416	747	2	..........	..........	PUNCT
ejpam-4416	748	1	..........	..........	PUNCT
ejpam-4416	748	2	..........	..........	PUNCT
ejpam-4416	749	1	....	....	PUNCT
ejpam-4416	749	2	.....................	.....................	PUNCT
ejpam-4416	749	3	....................	....................	PUNCT
ejpam-4416	749	4	....................	....................	PUNCT
ejpam-4416	749	5	....................	....................	PUNCT
ejpam-4416	749	6	....................	....................	PUNCT
ejpam-4416	749	7	....................	....................	PUNCT
ejpam-4416	749	8	....................	....................	PUNCT
ejpam-4416	749	9	....................	....................	PUNCT
ejpam-4416	749	10	....................	....................	PUNCT
ejpam-4416	749	11	....................	....................	PUNCT
ejpam-4416	749	12	....................	....................	PUNCT
ejpam-4416	749	13	....................	....................	PUNCT
ejpam-4416	749	14	...	...	PUNCT
ejpam-4416	750	1	................	................	PUNCT
ejpam-4416	750	2	...............	...............	PUNCT
ejpam-4416	750	3	...............	...............	PUNCT
ejpam-4416	750	4	...............	...............	PUNCT
ejpam-4416	750	5	...............	...............	PUNCT
ejpam-4416	750	6	...............	...............	PUNCT
ejpam-4416	750	7	...............	...............	PUNCT
ejpam-4416	750	8	...............	...............	PUNCT
ejpam-4416	750	9	...............	...............	PUNCT
ejpam-4416	750	10	...............	...............	PUNCT
ejpam-4416	750	11	...............	...............	PUNCT
ejpam-4416	750	12	...............	...............	PUNCT
ejpam-4416	750	13	...............	...............	PUNCT
ejpam-4416	750	14	...............	...............	PUNCT
ejpam-4416	750	15	...............	...............	PUNCT
ejpam-4416	750	16	...............	...............	PUNCT
ejpam-4416	750	17	...............	...............	PUNCT
ejpam-4416	750	18	...............	...............	PUNCT
ejpam-4416	750	19	...............	...............	PUNCT
ejpam-4416	750	20	...............	...............	PUNCT
ejpam-4416	750	21	.............	.............	PUNCT
ejpam-4416	750	22	.............	.............	PUNCT
ejpam-4416	750	23	............	............	PUNCT
ejpam-4416	750	24	............	............	PUNCT
ejpam-4416	750	25	............	............	PUNCT
ejpam-4416	750	26	............	............	PUNCT
ejpam-4416	750	27	............	............	PUNCT
ejpam-4416	750	28	............	............	PUNCT
ejpam-4416	750	29	............	............	PUNCT
ejpam-4416	750	30	............	............	PUNCT
ejpam-4416	750	31	............	............	PUNCT
ejpam-4416	750	32	............	............	PUNCT
ejpam-4416	750	33	............	............	PUNCT
ejpam-4416	750	34	............	............	PUNCT
ejpam-4416	750	35	............	............	PUNCT
ejpam-4416	750	36	............	............	PUNCT
ejpam-4416	750	37	............	............	PUNCT
ejpam-4416	750	38	............	............	PUNCT
ejpam-4416	750	39	............	............	PUNCT
ejpam-4416	750	40	............	............	PUNCT
ejpam-4416	750	41	............	............	PUNCT
ejpam-4416	750	42	............	............	PUNCT
ejpam-4416	750	43	............	............	PUNCT
ejpam-4416	750	44	............	............	PUNCT
ejpam-4416	750	45	............	............	PUNCT
ejpam-4416	750	46	............	............	PUNCT
ejpam-4416	750	47	............	............	PUNCT
ejpam-4416	750	48	............	............	PUNCT
ejpam-4416	750	49	............	............	PUNCT
ejpam-4416	750	50	............	............	PUNCT
ejpam-4416	750	51	............	............	PUNCT
ejpam-4416	750	52	............	............	PUNCT
ejpam-4416	750	53	.	.	PUNCT
ejpam-4416	751	1	................................................................................................	................................................................................................	PUNCT
ejpam-4416	751	2	..............................................................................................................................................................................................	..............................................................................................................................................................................................	PUNCT
ejpam-4416	752	1	.....................................................	.....................................................	PUNCT
ejpam-4416	753	1	....................................................	....................................................	PUNCT
ejpam-4416	753	2	....................................................	....................................................	PUNCT
ejpam-4416	753	3	....................................................	....................................................	PUNCT
ejpam-4416	753	4	....................................................	....................................................	PUNCT
ejpam-4416	753	5	....................................................	....................................................	PUNCT
ejpam-4416	754	1	................	................	PUNCT
ejpam-4416	754	2	.........................	.........................	PUNCT
ejpam-4416	754	3	........................	........................	PUNCT
ejpam-4416	754	4	........................	........................	PUNCT
ejpam-4416	754	5	........................	........................	PUNCT
ejpam-4416	754	6	........................	........................	PUNCT
ejpam-4416	754	7	........................	........................	PUNCT
ejpam-4416	754	8	........................	........................	PUNCT
ejpam-4416	754	9	........................	........................	PUNCT
ejpam-4416	754	10	........................	........................	PUNCT
ejpam-4416	754	11	........................	........................	PUNCT
ejpam-4416	754	12	........................	........................	PUNCT
ejpam-4416	754	13	........................	........................	PUNCT
ejpam-4416	754	14	........................	........................	PUNCT
ejpam-4416	754	15	........................	........................	PUNCT
ejpam-4416	754	16	........................	........................	PUNCT
ejpam-4416	754	17	......................	......................	PUNCT
ejpam-4416	754	18	..................	..................	PUNCT
ejpam-4416	754	19	.................	.................	PUNCT
ejpam-4416	754	20	.................	.................	PUNCT
ejpam-4416	754	21	.................	.................	PUNCT
ejpam-4416	754	22	.................	.................	PUNCT
ejpam-4416	754	23	.................	.................	PUNCT
ejpam-4416	754	24	.................	.................	PUNCT
ejpam-4416	754	25	.................	.................	PUNCT
ejpam-4416	754	26	.................	.................	PUNCT
ejpam-4416	754	27	.................	.................	PUNCT
ejpam-4416	754	28	.................	.................	PUNCT
ejpam-4416	754	29	.................	.................	PUNCT
ejpam-4416	754	30	.................	.................	PUNCT
ejpam-4416	754	31	.................	.................	PUNCT
ejpam-4416	754	32	.................	.................	PUNCT
ejpam-4416	754	33	.................	.................	PUNCT
ejpam-4416	754	34	.................	.................	PUNCT
ejpam-4416	754	35	.................	.................	PUNCT
ejpam-4416	754	36	.................	.................	PUNCT
ejpam-4416	754	37	.................	.................	PUNCT
ejpam-4416	754	38	.................	.................	PUNCT
ejpam-4416	754	39	.................	.................	PUNCT
ejpam-4416	754	40	.................	.................	PUNCT
ejpam-4416	754	41	.................	.................	PUNCT
ejpam-4416	754	42	.................	.................	PUNCT
ejpam-4416	754	43	.	.	PUNCT
ejpam-4416	755	1	..........................................................................................................................................................................	..........................................................................................................................................................................	PUNCT
ejpam-4416	755	2	................................................................................................................................................................................................................................................................	................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	756	1	..................................................................................................................................................................................................................................................................................................................................................................................	..................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	756	2	.....................................................	.....................................................	PUNCT
ejpam-4416	757	1	....................................................	....................................................	PUNCT
ejpam-4416	757	2	....................................................	....................................................	PUNCT
ejpam-4416	757	3	....................................................	....................................................	PUNCT
ejpam-4416	757	4	....................................................	....................................................	PUNCT
ejpam-4416	757	5	....................................................	....................................................	PUNCT
ejpam-4416	757	6	....................................................	....................................................	PUNCT
ejpam-4416	757	7	..............................................	..............................................	PUNCT
ejpam-4416	757	8	...........................	...........................	PUNCT
ejpam-4416	757	9	..........................	..........................	PUNCT
ejpam-4416	758	1	..........................	..........................	PUNCT
ejpam-4416	758	2	..........................	..........................	PUNCT
ejpam-4416	759	1	..........................	..........................	PUNCT
ejpam-4416	759	2	..........................	..........................	PUNCT
ejpam-4416	760	1	..........................	..........................	PUNCT
ejpam-4416	760	2	..........................	..........................	PUNCT
ejpam-4416	761	1	..........................	..........................	PUNCT
ejpam-4416	761	2	..........................	..........................	PUNCT
ejpam-4416	762	1	..........................	..........................	PUNCT
ejpam-4416	762	2	..........................	..........................	PUNCT
ejpam-4416	763	1	..........................	..........................	PUNCT
ejpam-4416	763	2	..........................	..........................	PUNCT
ejpam-4416	764	1	..........................	..........................	PUNCT
ejpam-4416	764	2	..........................	..........................	PUNCT
ejpam-4416	765	1	..........................	..........................	PUNCT
ejpam-4416	765	2	.	.	PUNCT
ejpam-4416	766	1	.......................................................	.......................................................	PUNCT
ejpam-4416	767	1	.....................................................................................................................................	.....................................................................................................................................	PUNCT
ejpam-4416	767	2	............................................................................................................................................................................................................................................	............................................................................................................................................................................................................................................	PUNCT
ejpam-4416	767	3	..........................................................................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	768	1	......................................................................................................................................................................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	768	2	..................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	..................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	769	1	................................................	................................................	PUNCT
ejpam-4416	769	2	................................................	................................................	PUNCT
ejpam-4416	770	1	................................................	................................................	PUNCT
ejpam-4416	770	2	................................................	................................................	PUNCT
ejpam-4416	771	1	................................................	................................................	PUNCT
ejpam-4416	771	2	................................................	................................................	PUNCT
ejpam-4416	772	1	................................................	................................................	PUNCT
ejpam-4416	772	2	................................................	................................................	PUNCT
ejpam-4416	772	3	.............................................................................................................................................................	.............................................................................................................................................................	PUNCT
ejpam-4416	773	1	.................................................................................................................................................................................................................	.................................................................................................................................................................................................................	PROPN
ejpam-4416	773	2	.................................................................................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	774	1	......................................................................................................................................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................................................................................................................................	PROPN
ejpam-4416	774	2	............................................................................................................................................................................................................................................................................................................................................................................................................................................................	............................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	774	3	.........................................................................................................................................................................................................................................................................................................................................................................................................................................................................	.........................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	775	1	...............................................................................................................................................................................................................................................................................................................................................................................................................................................................................	...............................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	776	1	...........	...........	PUNCT
ejpam-4416	777	1	..........	..........	PUNCT
ejpam-4416	778	1	.........	.........	PUNCT
ejpam-4416	779	1	........................................	........................................	PUNCT
ejpam-4416	780	1	.........	.........	PUNCT
ejpam-4416	781	1	........	........	PUNCT
ejpam-4416	782	1	........	........	PUNCT
ejpam-4416	783	1	........	........	PUNCT
ejpam-4416	784	1	......	......	PUNCT
ejpam-4416	785	1	...................................	...................................	PUNCT
ejpam-4416	786	1	...............................................	...............................................	PUNCT
ejpam-4416	787	1	..............	..............	PUNCT
ejpam-4416	788	1	.............	.............	PUNCT
ejpam-4416	789	1	.............	.............	PUNCT
ejpam-4416	790	1	.......	.......	PUNCT
ejpam-4416	791	1	...................	...................	PUNCT
ejpam-4416	792	1	..................	..................	PUNCT
ejpam-4416	793	1	......	......	PUNCT
ejpam-4416	794	1	.......................................	.......................................	PUNCT
ejpam-4416	795	1	..................	..................	PUNCT
ejpam-4416	796	1	.................	.................	PUNCT
ejpam-4416	797	1	.................	.................	PUNCT
ejpam-4416	798	1	.................	.................	PUNCT
ejpam-4416	799	1	.................	.................	PUNCT
ejpam-4416	800	1	.................	.................	PUNCT
ejpam-4416	801	1	.................	.................	PUNCT
ejpam-4416	802	1	.................	.................	PUNCT
ejpam-4416	803	1	.................	.................	PUNCT
ejpam-4416	804	1	.................	.................	PUNCT
ejpam-4416	805	1	.................	.................	PUNCT
ejpam-4416	806	1	.............	.............	PUNCT
ejpam-4416	806	2	............	............	PUNCT
ejpam-4416	806	3	............	............	PUNCT
ejpam-4416	806	4	............	............	PUNCT
ejpam-4416	806	5	............	............	PUNCT
ejpam-4416	806	6	............	............	PUNCT
ejpam-4416	806	7	............	............	PUNCT
ejpam-4416	806	8	............	............	PUNCT
ejpam-4416	806	9	............	............	PUNCT
ejpam-4416	806	10	............	............	PUNCT
ejpam-4416	806	11	............	............	PUNCT
ejpam-4416	806	12	............	............	PUNCT
ejpam-4416	806	13	............	............	PUNCT
ejpam-4416	806	14	............	............	PUNCT
ejpam-4416	806	15	............	............	PUNCT
ejpam-4416	806	16	............	............	PUNCT
ejpam-4416	806	17	............	............	PUNCT
ejpam-4416	806	18	........	........	PUNCT
ejpam-4416	806	19	...........	...........	PUNCT
ejpam-4416	806	20	..........	..........	PUNCT
ejpam-4416	807	1	..........	..........	PUNCT
ejpam-4416	807	2	..........	..........	PUNCT
ejpam-4416	808	1	..........	..........	PUNCT
ejpam-4416	808	2	..........	..........	PUNCT
ejpam-4416	809	1	..........	..........	PUNCT
ejpam-4416	809	2	..........	..........	PUNCT
ejpam-4416	810	1	..........	..........	PUNCT
ejpam-4416	810	2	..........	..........	PUNCT
ejpam-4416	811	1	..........	..........	PUNCT
ejpam-4416	811	2	..........	..........	PUNCT
ejpam-4416	812	1	..........	..........	PUNCT
ejpam-4416	812	2	..........	..........	PUNCT
ejpam-4416	813	1	..........	..........	PUNCT
ejpam-4416	813	2	..........	..........	PUNCT
ejpam-4416	814	1	..........	..........	PUNCT
ejpam-4416	814	2	..........	..........	PUNCT
ejpam-4416	815	1	..........	..........	PUNCT
ejpam-4416	815	2	..........	..........	PUNCT
ejpam-4416	816	1	..........	..........	PUNCT
ejpam-4416	816	2	..........	..........	PUNCT
ejpam-4416	817	1	..........	..........	PUNCT
ejpam-4416	817	2	...	...	PUNCT
ejpam-4416	818	1	..........	..........	PUNCT
ejpam-4416	818	2	.........	.........	PUNCT
ejpam-4416	819	1	.........	.........	PUNCT
ejpam-4416	819	2	.........	.........	PUNCT
ejpam-4416	820	1	.........	.........	PUNCT
ejpam-4416	820	2	.........	.........	PUNCT
ejpam-4416	821	1	.........	.........	PUNCT
ejpam-4416	821	2	.........	.........	PUNCT
ejpam-4416	822	1	.........	.........	PUNCT
ejpam-4416	822	2	.........	.........	PUNCT
ejpam-4416	823	1	.........	.........	PUNCT
ejpam-4416	823	2	.........	.........	PUNCT
ejpam-4416	824	1	.........	.........	PUNCT
ejpam-4416	824	2	.........	.........	PUNCT
ejpam-4416	825	1	.........	.........	PUNCT
ejpam-4416	825	2	.........	.........	PUNCT
ejpam-4416	826	1	.........	.........	PUNCT
ejpam-4416	826	2	.........	.........	PUNCT
ejpam-4416	827	1	.........	.........	PUNCT
ejpam-4416	827	2	.........	.........	PUNCT
ejpam-4416	828	1	.........	.........	PUNCT
ejpam-4416	828	2	.........	.........	PUNCT
ejpam-4416	829	1	.........	.........	PUNCT
ejpam-4416	829	2	.........	.........	PUNCT
ejpam-4416	830	1	.........	.........	PUNCT
ejpam-4416	830	2	.........	.........	PUNCT
ejpam-4416	831	1	.........	.........	PUNCT
ejpam-4416	831	2	.........	.........	PUNCT
ejpam-4416	831	3	.......	.......	PUNCT
ejpam-4416	831	4	.........	.........	PUNCT
ejpam-4416	831	5	........	........	PUNCT
ejpam-4416	831	6	........	........	PUNCT
ejpam-4416	831	7	........	........	PUNCT
ejpam-4416	831	8	........	........	PUNCT
ejpam-4416	831	9	........	........	PUNCT
ejpam-4416	831	10	........	........	PUNCT
ejpam-4416	831	11	........	........	PUNCT
ejpam-4416	831	12	........	........	PUNCT
ejpam-4416	831	13	........	........	PUNCT
ejpam-4416	831	14	........	........	PUNCT
ejpam-4416	831	15	........	........	PUNCT
ejpam-4416	831	16	........	........	PUNCT
ejpam-4416	831	17	........	........	PUNCT
ejpam-4416	831	18	........	........	PUNCT
ejpam-4416	831	19	........	........	PUNCT
ejpam-4416	831	20	........	........	PUNCT
ejpam-4416	831	21	........	........	PUNCT
ejpam-4416	831	22	........	........	PUNCT
ejpam-4416	831	23	........	........	PUNCT
ejpam-4416	831	24	........	........	PUNCT
ejpam-4416	831	25	........	........	PUNCT
ejpam-4416	831	26	........	........	PUNCT
ejpam-4416	831	27	........	........	PUNCT
ejpam-4416	831	28	........	........	PUNCT
ejpam-4416	831	29	........	........	PUNCT
ejpam-4416	831	30	........	........	PUNCT
ejpam-4416	831	31	........	........	PUNCT
ejpam-4416	831	32	........	........	PUNCT
ejpam-4416	831	33	........	........	PUNCT
ejpam-4416	831	34	........	........	PUNCT
ejpam-4416	831	35	........	........	PUNCT
ejpam-4416	831	36	........	........	PUNCT
ejpam-4416	831	37	........	........	PUNCT
ejpam-4416	832	1	....	....	PUNCT
ejpam-4416	832	2	.....................................................................................................................................................................................................................................................................................	.....................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	832	3	.................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	833	1	.....................................................................................................................................................................................................................	.....................................................................................................................................................................................................................	PUNCT
ejpam-4416	833	2	............................................................................................................................................................................................	............................................................................................................................................................................................	PUNCT
ejpam-4416	834	1	..................	..................	PUNCT
ejpam-4416	835	1	.................	.................	PUNCT
ejpam-4416	835	2	.................	.................	PUNCT
ejpam-4416	835	3	.............	.............	PUNCT
ejpam-4416	835	4	............	............	PUNCT
ejpam-4416	835	5	............	............	PUNCT
ejpam-4416	835	6	............	............	PUNCT
ejpam-4416	835	7	...........	...........	PUNCT
ejpam-4416	835	8	...........	...........	PUNCT
ejpam-4416	835	9	..........	..........	PUNCT
ejpam-4416	836	1	..........	..........	PUNCT
ejpam-4416	836	2	..........	..........	PUNCT
ejpam-4416	837	1	..........	..........	PUNCT
ejpam-4416	837	2	..........	..........	PUNCT
ejpam-4416	838	1	......	......	PUNCT
ejpam-4416	838	2	..........	..........	PUNCT
ejpam-4416	839	1	.........	.........	PUNCT
ejpam-4416	839	2	.........	.........	PUNCT
ejpam-4416	840	1	.........	.........	PUNCT
ejpam-4416	840	2	.........	.........	PUNCT
ejpam-4416	841	1	.........	.........	PUNCT
ejpam-4416	841	2	.........	.........	PUNCT
ejpam-4416	842	1	.........	.........	PUNCT
ejpam-4416	842	2	...	...	PUNCT
ejpam-4416	842	3	.........	.........	PUNCT
ejpam-4416	842	4	........	........	PUNCT
ejpam-4416	842	5	........	........	PUNCT
ejpam-4416	842	6	........	........	PUNCT
ejpam-4416	842	7	........	........	PUNCT
ejpam-4416	842	8	........	........	PUNCT
ejpam-4416	842	9	........	........	PUNCT
ejpam-4416	842	10	........	........	PUNCT
ejpam-4416	842	11	........	........	PUNCT
ejpam-4416	842	12	........	........	PUNCT
ejpam-4416	842	13	...................................................................................	...................................................................................	PUNCT
ejpam-4416	842	14	.....................................................................	.....................................................................	PUNCT
ejpam-4416	842	15	............................................................	............................................................	PUNCT
ejpam-4416	842	16	........................................................................................	........................................................................................	PUNCT
ejpam-4416	842	17	....................................	....................................	PUNCT
ejpam-4416	843	1	....................................	....................................	PUNCT
ejpam-4416	843	2	....................................	....................................	PUNCT
ejpam-4416	844	1	....................................	....................................	PUNCT
ejpam-4416	844	2	....................................	....................................	PUNCT
ejpam-4416	845	1	....................................	....................................	PUNCT
ejpam-4416	845	2	....................................	....................................	PUNCT
ejpam-4416	846	1	....................................	....................................	PUNCT
ejpam-4416	847	1	v0	v0	PROPN
ejpam-4416	847	2	vn−1	vn−1	PROPN
ejpam-4416	847	3	vn−2	vn−2	PROPN
ejpam-4416	847	4	vn−3	vn−3	PROPN
ejpam-4416	847	5	v6v5	v6v5	PUNCT
ejpam-4416	847	6	v4	v4	PROPN
ejpam-4416	847	7	v3	v3	PROPN
ejpam-4416	847	8	v2	v2	PROPN
ejpam-4416	847	9	v1	v1	PROPN
ejpam-4416	847	10	....................	....................	PUNCT
ejpam-4416	847	11	....................	....................	PUNCT
ejpam-4416	847	12	....................	....................	PUNCT
ejpam-4416	847	13	........................	........................	PUNCT
ejpam-4416	847	14	............	............	PUNCT
ejpam-4416	848	1	figure	figure	VERB
ejpam-4416	848	2	6	6	NUM
ejpam-4416	848	3	:	:	PUNCT
ejpam-4416	848	4	the	the	DET
ejpam-4416	848	5	central	central	ADJ
ejpam-4416	848	6	graph	graph	NOUN
ejpam-4416	848	7	of	of	ADP
ejpam-4416	848	8	γcn	γcn	PROPN
ejpam-4416	848	9	(	(	PUNCT
ejpam-4416	848	10	n	n	X
ejpam-4416	848	11	is	be	AUX
ejpam-4416	848	12	even	even	ADV
ejpam-4416	848	13	)	)	PUNCT
ejpam-4416	848	14	c.	c.	PROPN
ejpam-4416	848	15	alib	alib	PROPN
ejpam-4416	848	16	,	,	PUNCT
ejpam-4416	848	17	d.	d.	PROPN
ejpam-4416	848	18	magpantay	magpantay	PROPN
ejpam-4416	848	19	/	/	SYM
ejpam-4416	848	20	eur	eur	PROPN
ejpam-4416	848	21	.	.	PUNCT
ejpam-4416	849	1	j.	j.	PROPN
ejpam-4416	849	2	pure	pure	PROPN
ejpam-4416	849	3	appl	appl	PROPN
ejpam-4416	849	4	.	.	PROPN
ejpam-4416	849	5	math	math	PROPN
ejpam-4416	849	6	,	,	PUNCT
ejpam-4416	849	7	15	15	NUM
ejpam-4416	849	8	(	(	PUNCT
ejpam-4416	849	9	3	3	NUM
ejpam-4416	849	10	)	)	PUNCT
ejpam-4416	849	11	(	(	PUNCT
ejpam-4416	849	12	2022	2022	NUM
ejpam-4416	849	13	)	)	PUNCT
ejpam-4416	849	14	,	,	PUNCT
ejpam-4416	849	15	1098	1098	NUM
ejpam-4416	849	16	-	-	SYM
ejpam-4416	849	17	1112	1112	NUM
ejpam-4416	849	18	1106	1106	NUM
ejpam-4416	849	19	the	the	DET
ejpam-4416	849	20	degrees	degree	NOUN
ejpam-4416	849	21	of	of	ADP
ejpam-4416	849	22	each	each	DET
ejpam-4416	849	23	vertex	vertex	NOUN
ejpam-4416	849	24	in	in	ADP
ejpam-4416	849	25	c(γcn	c(γcn	PROPN
ejpam-4416	849	26	)	)	PUNCT
ejpam-4416	849	27	is	be	AUX
ejpam-4416	849	28	summarized	summarize	VERB
ejpam-4416	849	29	below	below	ADP
ejpam-4416	849	30	:	:	PUNCT
ejpam-4416	849	31	deg(v0	deg(v0	ADJ
ejpam-4416	849	32	)	)	PUNCT
ejpam-4416	850	1	=	=	PUNCT
ejpam-4416	850	2	n−	n−	NOUN
ejpam-4416	850	3	1	1	NUM
ejpam-4416	850	4	deg(vi	deg(vi	NOUN
ejpam-4416	850	5	)	)	PUNCT
ejpam-4416	850	6	=	=	SYM
ejpam-4416	850	7	n−	n−	NOUN
ejpam-4416	850	8	1	1	NUM
ejpam-4416	850	9	;	;	PUNCT
ejpam-4416	850	10	1	1	NUM
ejpam-4416	850	11	≤	≤	NUM
ejpam-4416	850	12	i	i	PRON
ejpam-4416	850	13	≤	≤	ADJ
ejpam-4416	850	14	n−	n−	NOUN
ejpam-4416	850	15	1	1	NUM
ejpam-4416	850	16	deg(c0i	deg(c0i	NOUN
ejpam-4416	850	17	)	)	PUNCT
ejpam-4416	850	18	=	=	SYM
ejpam-4416	850	19	2	2	NUM
ejpam-4416	850	20	;	;	PUNCT
ejpam-4416	850	21	1	1	NUM
ejpam-4416	850	22	≤	≤	NUM
ejpam-4416	851	1	i	i	PRON
ejpam-4416	851	2	≤	≤	ADJ
ejpam-4416	851	3	n−	n−	NOUN
ejpam-4416	851	4	1	1	NUM
ejpam-4416	851	5	deg(c(2i−1)(2i	deg(c(2i−1)(2i	NUM
ejpam-4416	851	6	)	)	PUNCT
ejpam-4416	851	7	)	)	PUNCT
ejpam-4416	852	1	=	=	SYM
ejpam-4416	852	2	2	2	NUM
ejpam-4416	852	3	;	;	PUNCT
ejpam-4416	852	4	1	1	NUM
ejpam-4416	852	5	≤	≤	NUM
ejpam-4416	852	6	i	i	PRON
ejpam-4416	852	7	≤	≤	ADJ
ejpam-4416	852	8	n−	n−	NOUN
ejpam-4416	852	9	2	2	NUM
ejpam-4416	852	10	2	2	NUM
ejpam-4416	852	11	.	.	PUNCT
ejpam-4416	853	1	we	we	PRON
ejpam-4416	853	2	will	will	AUX
ejpam-4416	853	3	sum	sum	VERB
ejpam-4416	853	4	up	up	ADP
ejpam-4416	853	5	all	all	DET
ejpam-4416	853	6	the	the	DET
ejpam-4416	853	7	degrees	degree	NOUN
ejpam-4416	853	8	of	of	ADP
ejpam-4416	853	9	vertices	vertex	NOUN
ejpam-4416	853	10	in	in	ADP
ejpam-4416	853	11	c(γcn	c(γcn	PROPN
ejpam-4416	853	12	)	)	PUNCT
ejpam-4416	853	13	and	and	CCONJ
ejpam-4416	853	14	get∑	get∑	PRON
ejpam-4416	853	15	x∈v	x∈v	PROPN
ejpam-4416	853	16	(	(	PUNCT
ejpam-4416	853	17	c(γcn	c(γcn	PROPN
ejpam-4416	853	18	)	)	PUNCT
ejpam-4416	853	19	)	)	PUNCT
ejpam-4416	854	1	deg(x	deg(x	X
ejpam-4416	854	2	)	)	PUNCT
ejpam-4416	855	1	=	=	SYM
ejpam-4416	855	2	(	(	PUNCT
ejpam-4416	855	3	n−	n−	NOUN
ejpam-4416	855	4	1	1	NUM
ejpam-4416	855	5	)	)	PUNCT
ejpam-4416	855	6	+	+	CCONJ
ejpam-4416	855	7	(	(	PUNCT
ejpam-4416	855	8	n−	n−	NOUN
ejpam-4416	855	9	1)(n−	1)(n−	NUM
ejpam-4416	855	10	1	1	NUM
ejpam-4416	855	11	)	)	PUNCT
ejpam-4416	855	12	+	+	CCONJ
ejpam-4416	856	1	2(n−	2(n−	NUM
ejpam-4416	856	2	1	1	NUM
ejpam-4416	856	3	)	)	PUNCT
ejpam-4416	856	4	+	+	CCONJ
ejpam-4416	856	5	2	2	NUM
ejpam-4416	856	6	(	(	PUNCT
ejpam-4416	856	7	n−	n−	NOUN
ejpam-4416	856	8	2	2	NUM
ejpam-4416	856	9	2	2	NUM
ejpam-4416	856	10	)	)	PUNCT
ejpam-4416	856	11	=	=	SYM
ejpam-4416	856	12	(	(	PUNCT
ejpam-4416	856	13	n−	n−	NOUN
ejpam-4416	856	14	1	1	NUM
ejpam-4416	856	15	)	)	PUNCT
ejpam-4416	856	16	+	+	CCONJ
ejpam-4416	856	17	(	(	PUNCT
ejpam-4416	856	18	n−	n−	NOUN
ejpam-4416	856	19	2	2	NUM
ejpam-4416	856	20	)	)	PUNCT
ejpam-4416	856	21	+	+	CCONJ
ejpam-4416	856	22	(	(	PUNCT
ejpam-4416	856	23	2n−	2n−	NUM
ejpam-4416	856	24	2	2	NUM
ejpam-4416	856	25	)	)	PUNCT
ejpam-4416	856	26	+	+	CCONJ
ejpam-4416	856	27	(	(	PUNCT
ejpam-4416	856	28	n2	n2	ADJ
ejpam-4416	856	29	−	−	PROPN
ejpam-4416	856	30	2n+	2n+	NUM
ejpam-4416	856	31	1	1	NUM
ejpam-4416	856	32	)	)	PUNCT
ejpam-4416	856	33	=	=	VERB
ejpam-4416	856	34	n2	n2	NOUN
ejpam-4416	856	35	+	+	CCONJ
ejpam-4416	856	36	2n−	2n−	PROPN
ejpam-4416	856	37	4	4	NUM
ejpam-4416	856	38	.	.	PUNCT
ejpam-4416	856	39	by	by	ADP
ejpam-4416	856	40	handshaking	handshake	VERB
ejpam-4416	856	41	lemma	lemma	PROPN
ejpam-4416	856	42	,	,	PUNCT
ejpam-4416	856	43	|e(c(γcn))|	|e(c(γcn))|	NOUN
ejpam-4416	856	44	=	=	NOUN
ejpam-4416	856	45	1	1	NUM
ejpam-4416	856	46	2	2	NUM
ejpam-4416	856	47	(	(	PUNCT
ejpam-4416	856	48	∑	∑	PROPN
ejpam-4416	856	49	x∈v	x∈v	PROPN
ejpam-4416	856	50	(	(	PUNCT
ejpam-4416	856	51	c(γcn	c(γcn	PROPN
ejpam-4416	856	52	)	)	PUNCT
ejpam-4416	856	53	)	)	PUNCT
ejpam-4416	856	54	deg(x	deg(x	X
ejpam-4416	856	55	)	)	PUNCT
ejpam-4416	856	56	)	)	PUNCT
ejpam-4416	857	1	=	=	PUNCT
ejpam-4416	857	2	n2	n2	NOUN
ejpam-4416	857	3	+	+	CCONJ
ejpam-4416	858	1	2n−	2n−	NUM
ejpam-4416	858	2	4	4	NUM
ejpam-4416	858	3	2	2	NUM
ejpam-4416	858	4	from	from	ADP
ejpam-4416	858	5	this	this	DET
ejpam-4416	858	6	result	result	NOUN
ejpam-4416	858	7	,	,	PUNCT
ejpam-4416	858	8	we	we	PRON
ejpam-4416	858	9	can	can	AUX
ejpam-4416	858	10	characterize	characterize	VERB
ejpam-4416	858	11	the	the	DET
ejpam-4416	858	12	order	order	NOUN
ejpam-4416	858	13	and	and	CCONJ
ejpam-4416	858	14	size	size	NOUN
ejpam-4416	858	15	of	of	ADP
ejpam-4416	858	16	c(γcn	c(γcn	PROPN
ejpam-4416	858	17	)	)	PUNCT
ejpam-4416	858	18	(	(	PUNCT
ejpam-4416	858	19	n	n	X
ejpam-4416	858	20	is	be	AUX
ejpam-4416	858	21	even	even	ADV
ejpam-4416	858	22	)	)	PUNCT
ejpam-4416	858	23	.	.	PUNCT
ejpam-4416	859	1	proposition	proposition	NOUN
ejpam-4416	859	2	2	2	NUM
ejpam-4416	859	3	.	.	PUNCT
ejpam-4416	860	1	let	let	VERB
ejpam-4416	860	2	cn	cn	PROPN
ejpam-4416	860	3	be	be	AUX
ejpam-4416	860	4	a	a	DET
ejpam-4416	860	5	cyclic	cyclic	ADJ
ejpam-4416	860	6	group	group	NOUN
ejpam-4416	860	7	of	of	ADP
ejpam-4416	860	8	order	order	NOUN
ejpam-4416	860	9	n	n	NOUN
ejpam-4416	860	10	and	and	CCONJ
ejpam-4416	860	11	γcn	γcn	PROPN
ejpam-4416	860	12	be	be	VERB
ejpam-4416	860	13	the	the	DET
ejpam-4416	860	14	identity	identity	NOUN
ejpam-4416	860	15	graph	graph	NOUN
ejpam-4416	860	16	of	of	ADP
ejpam-4416	860	17	cn	cn	PROPN
ejpam-4416	860	18	.	.	PUNCT
ejpam-4416	861	1	if	if	SCONJ
ejpam-4416	861	2	n	n	PRON
ejpam-4416	861	3	is	be	AUX
ejpam-4416	861	4	even	even	ADV
ejpam-4416	861	5	,	,	PUNCT
ejpam-4416	861	6	then	then	ADV
ejpam-4416	861	7	|v	|v	PROPN
ejpam-4416	861	8	(	(	PUNCT
ejpam-4416	861	9	c(γcn))|	c(γcn))|	X
ejpam-4416	861	10	=	=	SYM
ejpam-4416	861	11	5n−4	5n−4	NUM
ejpam-4416	861	12	2	2	NUM
ejpam-4416	861	13	and	and	CCONJ
ejpam-4416	861	14	|e(c(γcn))|	|e(c(γcn))|	NOUN
ejpam-4416	861	15	=	=	SYM
ejpam-4416	861	16	n2	n2	NOUN
ejpam-4416	861	17	+	+	PROPN
ejpam-4416	861	18	2n−4	2n−4	NUM
ejpam-4416	861	19	2	2	NUM
ejpam-4416	861	20	.	.	PUNCT
ejpam-4416	862	1	proof	proof	NOUN
ejpam-4416	862	2	.	.	PUNCT
ejpam-4416	863	1	let	let	VERB
ejpam-4416	863	2	cn	cn	PROPN
ejpam-4416	863	3	be	be	AUX
ejpam-4416	863	4	a	a	DET
ejpam-4416	863	5	cyclic	cyclic	ADJ
ejpam-4416	863	6	group	group	NOUN
ejpam-4416	863	7	of	of	ADP
ejpam-4416	863	8	order	order	NOUN
ejpam-4416	863	9	n	n	PRON
ejpam-4416	863	10	(	(	PUNCT
ejpam-4416	863	11	n	n	X
ejpam-4416	863	12	is	be	AUX
ejpam-4416	863	13	even	even	ADV
ejpam-4416	863	14	)	)	PUNCT
ejpam-4416	863	15	and	and	CCONJ
ejpam-4416	863	16	γcn	γcn	PROPN
ejpam-4416	863	17	be	be	VERB
ejpam-4416	863	18	the	the	DET
ejpam-4416	863	19	identity	identity	NOUN
ejpam-4416	863	20	graph	graph	NOUN
ejpam-4416	863	21	of	of	ADP
ejpam-4416	863	22	cn	cn	PROPN
ejpam-4416	863	23	.	.	PUNCT
ejpam-4416	863	24	by	by	ADP
ejpam-4416	863	25	theorem	theorem	NOUN
ejpam-4416	863	26	4	4	NUM
ejpam-4416	863	27	,	,	PUNCT
ejpam-4416	863	28	the	the	DET
ejpam-4416	863	29	size	size	NOUN
ejpam-4416	863	30	of	of	ADP
ejpam-4416	863	31	γcn	γcn	PROPN
ejpam-4416	863	32	is	be	AUX
ejpam-4416	863	33	|e(γcn)|	|e(γcn)|	NOUN
ejpam-4416	863	34	=	=	PUNCT
ejpam-4416	863	35	3n−4	3n−4	NUM
ejpam-4416	863	36	2	2	NUM
ejpam-4416	863	37	.	.	PUNCT
ejpam-4416	864	1	thus	thus	ADV
ejpam-4416	864	2	,	,	PUNCT
ejpam-4416	864	3	the	the	DET
ejpam-4416	864	4	order	order	NOUN
ejpam-4416	864	5	and	and	CCONJ
ejpam-4416	864	6	size	size	NOUN
ejpam-4416	864	7	of	of	ADP
ejpam-4416	864	8	c(γcn	c(γcn	PROPN
ejpam-4416	864	9	)	)	PUNCT
ejpam-4416	864	10	are	be	AUX
ejpam-4416	864	11	|v	|v	NOUN
ejpam-4416	864	12	(	(	PUNCT
ejpam-4416	864	13	c(γcn))|	c(γcn))|	NOUN
ejpam-4416	864	14	=	=	SYM
ejpam-4416	864	15	n+	n+	NOUN
ejpam-4416	864	16	(	(	PUNCT
ejpam-4416	864	17	3n−	3n−	NUM
ejpam-4416	864	18	4	4	NUM
ejpam-4416	864	19	2	2	NUM
ejpam-4416	864	20	)	)	PUNCT
ejpam-4416	864	21	=	=	SYM
ejpam-4416	865	1	2n+	2n+	NUM
ejpam-4416	865	2	3n−	3n−	NUM
ejpam-4416	865	3	4	4	NUM
ejpam-4416	865	4	2	2	NUM
ejpam-4416	865	5	=	=	SYM
ejpam-4416	865	6	5n−	5n−	NUM
ejpam-4416	865	7	4	4	NUM
ejpam-4416	865	8	2	2	NUM
ejpam-4416	865	9	and	and	CCONJ
ejpam-4416	865	10	|e(c(γcn))|	|e(c(γcn))|	NOUN
ejpam-4416	865	11	=	=	SYM
ejpam-4416	865	12	n(n−	n(n−	VERB
ejpam-4416	865	13	1	1	NUM
ejpam-4416	865	14	)	)	PUNCT
ejpam-4416	865	15	2	2	NUM
ejpam-4416	866	1	+	+	CCONJ
ejpam-4416	866	2	(	(	PUNCT
ejpam-4416	866	3	3n−	3n−	NUM
ejpam-4416	866	4	4	4	NUM
ejpam-4416	866	5	2	2	NUM
ejpam-4416	866	6	)	)	PUNCT
ejpam-4416	866	7	=	=	SYM
ejpam-4416	866	8	n2	n2	NOUN
ejpam-4416	866	9	−	−	PROPN
ejpam-4416	866	10	n+	n+	PUNCT
ejpam-4416	867	1	3n−	3n−	NUM
ejpam-4416	867	2	4	4	NUM
ejpam-4416	867	3	2	2	NUM
ejpam-4416	867	4	=	=	NOUN
ejpam-4416	867	5	n2	n2	NOUN
ejpam-4416	867	6	+	+	CCONJ
ejpam-4416	867	7	2n−	2n−	NUM
ejpam-4416	867	8	4	4	NUM
ejpam-4416	867	9	2	2	NUM
ejpam-4416	867	10	,	,	PUNCT
ejpam-4416	867	11	respectively	respectively	ADV
ejpam-4416	867	12	.	.	PUNCT
ejpam-4416	868	1	4	4	X
ejpam-4416	868	2	.	.	X
ejpam-4416	868	3	main	main	ADJ
ejpam-4416	868	4	results	result	NOUN
ejpam-4416	868	5	this	this	DET
ejpam-4416	868	6	section	section	NOUN
ejpam-4416	868	7	presents	present	VERB
ejpam-4416	868	8	some	some	DET
ejpam-4416	868	9	graph	graph	NOUN
ejpam-4416	868	10	parameters	parameter	NOUN
ejpam-4416	868	11	such	such	ADJ
ejpam-4416	868	12	as	as	ADP
ejpam-4416	868	13	distance	distance	NOUN
ejpam-4416	868	14	,	,	PUNCT
ejpam-4416	868	15	eccentricities	eccentricity	NOUN
ejpam-4416	868	16	,	,	PUNCT
ejpam-4416	868	17	radius	radius	NOUN
ejpam-4416	868	18	,	,	PUNCT
ejpam-4416	868	19	diameter	diameter	NOUN
ejpam-4416	868	20	,	,	PUNCT
ejpam-4416	868	21	center	center	NOUN
ejpam-4416	868	22	,	,	PUNCT
ejpam-4416	868	23	periphery	periphery	NOUN
ejpam-4416	868	24	,	,	PUNCT
ejpam-4416	868	25	and	and	CCONJ
ejpam-4416	868	26	girth	girth	NOUN
ejpam-4416	868	27	of	of	ADP
ejpam-4416	868	28	c(γcn	c(γcn	PROPN
ejpam-4416	868	29	)	)	PUNCT
ejpam-4416	868	30	.	.	PUNCT
ejpam-4416	869	1	c.	c.	PROPN
ejpam-4416	869	2	alib	alib	PROPN
ejpam-4416	869	3	,	,	PUNCT
ejpam-4416	869	4	d.	d.	PROPN
ejpam-4416	869	5	magpantay	magpantay	PROPN
ejpam-4416	869	6	/	/	SYM
ejpam-4416	869	7	eur	eur	PROPN
ejpam-4416	869	8	.	.	PUNCT
ejpam-4416	870	1	j.	j.	PROPN
ejpam-4416	870	2	pure	pure	PROPN
ejpam-4416	870	3	appl	appl	PROPN
ejpam-4416	870	4	.	.	PROPN
ejpam-4416	870	5	math	math	PROPN
ejpam-4416	870	6	,	,	PUNCT
ejpam-4416	870	7	15	15	NUM
ejpam-4416	870	8	(	(	PUNCT
ejpam-4416	870	9	3	3	NUM
ejpam-4416	870	10	)	)	PUNCT
ejpam-4416	870	11	(	(	PUNCT
ejpam-4416	870	12	2022	2022	NUM
ejpam-4416	870	13	)	)	PUNCT
ejpam-4416	870	14	,	,	PUNCT
ejpam-4416	870	15	1098	1098	NUM
ejpam-4416	870	16	-	-	SYM
ejpam-4416	870	17	1112	1112	NUM
ejpam-4416	870	18	1107	1107	NUM
ejpam-4416	870	19	proposition	proposition	NOUN
ejpam-4416	870	20	3	3	X
ejpam-4416	870	21	.	.	PUNCT
ejpam-4416	871	1	let	let	VERB
ejpam-4416	871	2	γcn	γcn	PROPN
ejpam-4416	871	3	be	be	AUX
ejpam-4416	871	4	the	the	DET
ejpam-4416	871	5	identity	identity	NOUN
ejpam-4416	871	6	graph	graph	NOUN
ejpam-4416	871	7	of	of	ADP
ejpam-4416	871	8	finite	finite	PROPN
ejpam-4416	871	9	cyclic	cyclic	PROPN
ejpam-4416	871	10	group	group	NOUN
ejpam-4416	871	11	cn	cn	PROPN
ejpam-4416	871	12	(	(	PUNCT
ejpam-4416	871	13	n	n	CCONJ
ejpam-4416	871	14	≥	≥	NOUN
ejpam-4416	871	15	2	2	NUM
ejpam-4416	871	16	)	)	PUNCT
ejpam-4416	871	17	and	and	CCONJ
ejpam-4416	871	18	c(γcn	c(γcn	PROPN
ejpam-4416	871	19	)	)	PUNCT
ejpam-4416	871	20	be	be	VERB
ejpam-4416	871	21	the	the	DET
ejpam-4416	871	22	central	central	ADJ
ejpam-4416	871	23	graph	graph	NOUN
ejpam-4416	871	24	of	of	ADP
ejpam-4416	871	25	γcn	γcn	PROPN
ejpam-4416	871	26	.	.	PUNCT
ejpam-4416	872	1	if	if	SCONJ
ejpam-4416	872	2	u	u	NOUN
ejpam-4416	872	3	,	,	PUNCT
ejpam-4416	872	4	v	v	PROPN
ejpam-4416	872	5	∈	∈	PROPN
ejpam-4416	872	6	v	v	NOUN
ejpam-4416	872	7	(	(	PUNCT
ejpam-4416	872	8	c(γcn	c(γcn	PROPN
ejpam-4416	872	9	)	)	PUNCT
ejpam-4416	872	10	)	)	PUNCT
ejpam-4416	872	11	,	,	PUNCT
ejpam-4416	872	12	then	then	ADV
ejpam-4416	872	13	d(u	d(u	PROPN
ejpam-4416	872	14	,	,	PUNCT
ejpam-4416	872	15	v	v	NOUN
ejpam-4416	872	16	)	)	PUNCT
ejpam-4416	872	17	≤	≤	NOUN
ejpam-4416	872	18	3	3	NUM
ejpam-4416	872	19	,	,	PUNCT
ejpam-4416	872	20	where	where	SCONJ
ejpam-4416	872	21	d(u	d(u	PROPN
ejpam-4416	872	22	,	,	PUNCT
ejpam-4416	872	23	v	v	NOUN
ejpam-4416	872	24	)	)	PUNCT
ejpam-4416	872	25	is	be	AUX
ejpam-4416	872	26	the	the	DET
ejpam-4416	872	27	distance	distance	NOUN
ejpam-4416	872	28	between	between	ADP
ejpam-4416	872	29	u	u	NOUN
ejpam-4416	872	30	and	and	CCONJ
ejpam-4416	872	31	v.	v.	ADP
ejpam-4416	872	32	proof	proof	NOUN
ejpam-4416	872	33	.	.	PUNCT
ejpam-4416	873	1	for	for	ADP
ejpam-4416	873	2	any	any	DET
ejpam-4416	873	3	integer	integer	NOUN
ejpam-4416	873	4	n	n	PRON
ejpam-4416	873	5	≥	≥	NOUN
ejpam-4416	873	6	2	2	NUM
ejpam-4416	873	7	,	,	PUNCT
ejpam-4416	873	8	let	let	VERB
ejpam-4416	873	9	γcn	γcn	NOUN
ejpam-4416	873	10	be	be	AUX
ejpam-4416	873	11	the	the	DET
ejpam-4416	873	12	identity	identity	NOUN
ejpam-4416	873	13	graph	graph	NOUN
ejpam-4416	873	14	of	of	ADP
ejpam-4416	873	15	finite	finite	PROPN
ejpam-4416	873	16	cyclic	cyclic	PROPN
ejpam-4416	873	17	group	group	NOUN
ejpam-4416	873	18	cn	cn	PROPN
ejpam-4416	873	19	and	and	CCONJ
ejpam-4416	873	20	let	let	VERB
ejpam-4416	873	21	v	v	NOUN
ejpam-4416	873	22	(	(	PUNCT
ejpam-4416	873	23	γcn	γcn	PROPN
ejpam-4416	873	24	)	)	PUNCT
ejpam-4416	873	25	=	=	SYM
ejpam-4416	873	26	{	{	PUNCT
ejpam-4416	873	27	v0	v0	NOUN
ejpam-4416	873	28	,	,	PUNCT
ejpam-4416	873	29	v1	v1	NOUN
ejpam-4416	873	30	,	,	PUNCT
ejpam-4416	873	31	·	·	PUNCT
ejpam-4416	873	32	·	·	PUNCT
ejpam-4416	873	33	·	·	PUNCT
ejpam-4416	873	34	,	,	PUNCT
ejpam-4416	873	35	vn−1	vn−1	ADJ
ejpam-4416	873	36	}	}	PUNCT
ejpam-4416	873	37	.	.	PUNCT
ejpam-4416	874	1	consider	consider	VERB
ejpam-4416	874	2	its	its	PRON
ejpam-4416	874	3	central	central	ADJ
ejpam-4416	874	4	graph	graph	NOUN
ejpam-4416	874	5	c(γcn	c(γcn	PROPN
ejpam-4416	874	6	)	)	PUNCT
ejpam-4416	874	7	.	.	PUNCT
ejpam-4416	875	1	the	the	DET
ejpam-4416	875	2	vertex	vertex	NOUN
ejpam-4416	875	3	-	-	PUNCT
ejpam-4416	875	4	set	set	VERB
ejpam-4416	875	5	and	and	CCONJ
ejpam-4416	875	6	edge	edge	NOUN
ejpam-4416	875	7	-	-	PUNCT
ejpam-4416	875	8	set	set	NOUN
ejpam-4416	875	9	of	of	ADP
ejpam-4416	875	10	c(γcn	c(γcn	PROPN
ejpam-4416	875	11	)	)	PUNCT
ejpam-4416	875	12	are	be	AUX
ejpam-4416	875	13	v	v	PRON
ejpam-4416	875	14	(	(	PUNCT
ejpam-4416	875	15	c(γcn	c(γcn	PROPN
ejpam-4416	875	16	)	)	PUNCT
ejpam-4416	875	17	)	)	PUNCT
ejpam-4416	876	1	=	=	SYM
ejpam-4416	876	2	v	v	X
ejpam-4416	876	3	(	(	PUNCT
ejpam-4416	876	4	γcn	γcn	PROPN
ejpam-4416	876	5	)	)	PUNCT
ejpam-4416	876	6	⋃	⋃	SCONJ
ejpam-4416	876	7	c	c	X
ejpam-4416	876	8	,	,	PUNCT
ejpam-4416	876	9	where	where	SCONJ
ejpam-4416	876	10	c	c	NOUN
ejpam-4416	876	11	=	=	SYM
ejpam-4416	876	12	{	{	PUNCT
ejpam-4416	876	13	cij	cij	PROPN
ejpam-4416	876	14	:	:	PUNCT
ejpam-4416	876	15	(	(	PUNCT
ejpam-4416	876	16	vi	vi	NOUN
ejpam-4416	876	17	,	,	PUNCT
ejpam-4416	876	18	vj	vj	ADJ
ejpam-4416	876	19	)	)	PUNCT
ejpam-4416	876	20	∈	∈	PROPN
ejpam-4416	876	21	e(γcn	e(γcn	PROPN
ejpam-4416	876	22	)	)	PUNCT
ejpam-4416	876	23	}	}	PUNCT
ejpam-4416	876	24	and	and	CCONJ
ejpam-4416	876	25	e(c(γcn	e(c(γcn	NUM
ejpam-4416	876	26	)	)	PUNCT
ejpam-4416	876	27	)	)	PUNCT
ejpam-4416	877	1	=	=	PRON
ejpam-4416	877	2	{	{	PUNCT
ejpam-4416	877	3	(	(	PUNCT
ejpam-4416	877	4	vi	vi	PROPN
ejpam-4416	877	5	,	,	PUNCT
ejpam-4416	877	6	cij	cij	PROPN
ejpam-4416	877	7	)	)	PUNCT
ejpam-4416	877	8	,	,	PUNCT
ejpam-4416	877	9	(	(	PUNCT
ejpam-4416	877	10	vj	vj	INTJ
ejpam-4416	877	11	,	,	PUNCT
ejpam-4416	877	12	cij	cij	PROPN
ejpam-4416	877	13	)	)	PUNCT
ejpam-4416	877	14	:	:	PUNCT
ejpam-4416	877	15	(	(	PUNCT
ejpam-4416	877	16	vi	vi	NOUN
ejpam-4416	877	17	,	,	PUNCT
ejpam-4416	877	18	vj	vj	ADJ
ejpam-4416	877	19	)	)	PUNCT
ejpam-4416	877	20	∈	∈	PROPN
ejpam-4416	877	21	e(γcn	e(γcn	PROPN
ejpam-4416	877	22	)	)	PUNCT
ejpam-4416	877	23	}	}	PUNCT
ejpam-4416	877	24	⋃	⋃	NOUN
ejpam-4416	877	25	{	{	PUNCT
ejpam-4416	877	26	(	(	PUNCT
ejpam-4416	877	27	vi	vi	NOUN
ejpam-4416	877	28	,	,	PUNCT
ejpam-4416	877	29	vj	vj	PROPN
ejpam-4416	877	30	)	)	PUNCT
ejpam-4416	877	31	:	:	PUNCT
ejpam-4416	877	32	(	(	PUNCT
ejpam-4416	877	33	vi	vi	NOUN
ejpam-4416	877	34	,	,	PUNCT
ejpam-4416	877	35	vj	vj	ADJ
ejpam-4416	877	36	)	)	PUNCT
ejpam-4416	877	37	/∈	/∈	PUNCT
ejpam-4416	877	38	e(γcn	e(γcn	PROPN
ejpam-4416	877	39	)	)	PUNCT
ejpam-4416	877	40	}	}	PUNCT
ejpam-4416	877	41	,	,	PUNCT
ejpam-4416	877	42	respectively	respectively	ADV
ejpam-4416	877	43	.	.	PUNCT
ejpam-4416	878	1	let	let	VERB
ejpam-4416	878	2	x	x	SYM
ejpam-4416	878	3	∈	∈	PROPN
ejpam-4416	878	4	v	v	X
ejpam-4416	878	5	(	(	PUNCT
ejpam-4416	878	6	c(γcn	c(γcn	PROPN
ejpam-4416	878	7	)	)	PUNCT
ejpam-4416	878	8	)	)	PUNCT
ejpam-4416	878	9	for	for	ADP
ejpam-4416	878	10	odd	odd	ADJ
ejpam-4416	878	11	n.	n.	NOUN
ejpam-4416	878	12	if	if	SCONJ
ejpam-4416	878	13	x	x	PROPN
ejpam-4416	878	14	=	=	SYM
ejpam-4416	878	15	v0	v0	PROPN
ejpam-4416	878	16	,	,	PUNCT
ejpam-4416	878	17	d(x	d(x	PROPN
ejpam-4416	878	18	,	,	PUNCT
ejpam-4416	878	19	u	u	NOUN
ejpam-4416	878	20	)	)	PUNCT
ejpam-4416	878	21	≤	≤	NUM
ejpam-4416	878	22	3	3	NUM
ejpam-4416	878	23	for	for	ADP
ejpam-4416	878	24	any	any	DET
ejpam-4416	878	25	u	u	PROPN
ejpam-4416	878	26	∈	∈	PROPN
ejpam-4416	878	27	v	v	NOUN
ejpam-4416	878	28	(	(	PUNCT
ejpam-4416	878	29	c(γcn	c(γcn	PROPN
ejpam-4416	878	30	)	)	PUNCT
ejpam-4416	878	31	)	)	PUNCT
ejpam-4416	878	32	.	.	PUNCT
ejpam-4416	879	1	if	if	SCONJ
ejpam-4416	879	2	x	x	SYM
ejpam-4416	879	3	∈	∈	PROPN
ejpam-4416	879	4	{	{	PUNCT
ejpam-4416	879	5	c0i	c0i	NOUN
ejpam-4416	879	6	:	:	PUNCT
ejpam-4416	879	7	1	1	NUM
ejpam-4416	879	8	≤	≤	NUM
ejpam-4416	879	9	i	i	PRON
ejpam-4416	879	10	≤	≤	NOUN
ejpam-4416	879	11	(	(	PUNCT
ejpam-4416	879	12	n−	n−	NOUN
ejpam-4416	879	13	1	1	NUM
ejpam-4416	879	14	)	)	PUNCT
ejpam-4416	879	15	}	}	PUNCT
ejpam-4416	879	16	,	,	PUNCT
ejpam-4416	879	17	d(x	d(x	PROPN
ejpam-4416	879	18	,	,	PUNCT
ejpam-4416	879	19	u	u	NOUN
ejpam-4416	879	20	)	)	PUNCT
ejpam-4416	879	21	≤	≤	NUM
ejpam-4416	879	22	3	3	NUM
ejpam-4416	879	23	for	for	ADP
ejpam-4416	879	24	any	any	DET
ejpam-4416	879	25	u	u	PROPN
ejpam-4416	879	26	∈	∈	PROPN
ejpam-4416	879	27	v	v	NOUN
ejpam-4416	879	28	(	(	PUNCT
ejpam-4416	879	29	c(γcn	c(γcn	PROPN
ejpam-4416	879	30	)	)	PUNCT
ejpam-4416	879	31	)	)	PUNCT
ejpam-4416	879	32	.	.	PUNCT
ejpam-4416	880	1	if	if	SCONJ
ejpam-4416	880	2	x	x	SYM
ejpam-4416	880	3	∈	∈	PROPN
ejpam-4416	880	4	{	{	PUNCT
ejpam-4416	880	5	vi	vi	NOUN
ejpam-4416	880	6	:	:	PUNCT
ejpam-4416	880	7	1	1	NUM
ejpam-4416	880	8	≤	≤	NUM
ejpam-4416	880	9	i	i	PRON
ejpam-4416	880	10	≤	≤	NOUN
ejpam-4416	880	11	(	(	PUNCT
ejpam-4416	880	12	n−	n−	NOUN
ejpam-4416	880	13	1	1	NUM
ejpam-4416	880	14	)	)	PUNCT
ejpam-4416	880	15	}	}	PUNCT
ejpam-4416	880	16	,	,	PUNCT
ejpam-4416	880	17	d(x	d(x	PROPN
ejpam-4416	880	18	,	,	PUNCT
ejpam-4416	880	19	u	u	NOUN
ejpam-4416	880	20	)	)	PUNCT
ejpam-4416	880	21	≤	≤	NUM
ejpam-4416	880	22	3	3	NUM
ejpam-4416	880	23	for	for	ADP
ejpam-4416	880	24	any	any	DET
ejpam-4416	880	25	u	u	PROPN
ejpam-4416	880	26	∈	∈	PROPN
ejpam-4416	880	27	v	v	NOUN
ejpam-4416	880	28	(	(	PUNCT
ejpam-4416	880	29	c(γcn	c(γcn	PROPN
ejpam-4416	880	30	)	)	PUNCT
ejpam-4416	880	31	)	)	PUNCT
ejpam-4416	880	32	.	.	PUNCT
ejpam-4416	881	1	if	if	SCONJ
ejpam-4416	881	2	x	x	SYM
ejpam-4416	881	3	∈	∈	PROPN
ejpam-4416	881	4	{	{	PUNCT
ejpam-4416	881	5	c(2i−1)(2i	c(2i−1)(2i	PROPN
ejpam-4416	881	6	)	)	PUNCT
ejpam-4416	881	7	:	:	PUNCT
ejpam-4416	881	8	1	1	NUM
ejpam-4416	881	9	≤	≤	NUM
ejpam-4416	881	10	i	i	X
ejpam-4416	881	11	≤	≤	NUM
ejpam-4416	881	12	n−1	n−1	PROPN
ejpam-4416	881	13	2	2	NUM
ejpam-4416	881	14	}	}	PUNCT
ejpam-4416	881	15	,	,	PUNCT
ejpam-4416	881	16	d(x	d(x	PROPN
ejpam-4416	881	17	,	,	PUNCT
ejpam-4416	881	18	u	u	NOUN
ejpam-4416	881	19	)	)	PUNCT
ejpam-4416	881	20	≤	≤	NUM
ejpam-4416	881	21	3	3	NUM
ejpam-4416	881	22	for	for	ADP
ejpam-4416	881	23	any	any	DET
ejpam-4416	881	24	u	u	PROPN
ejpam-4416	881	25	∈	∈	PROPN
ejpam-4416	881	26	v	v	NOUN
ejpam-4416	881	27	(	(	PUNCT
ejpam-4416	881	28	c(γcn	c(γcn	PROPN
ejpam-4416	881	29	)	)	PUNCT
ejpam-4416	881	30	)	)	PUNCT
ejpam-4416	881	31	.	.	PUNCT
ejpam-4416	882	1	the	the	DET
ejpam-4416	882	2	proof	proof	NOUN
ejpam-4416	882	3	is	be	AUX
ejpam-4416	882	4	analogous	analogous	ADJ
ejpam-4416	882	5	to	to	ADP
ejpam-4416	882	6	the	the	DET
ejpam-4416	882	7	first	first	ADJ
ejpam-4416	882	8	case	case	NOUN
ejpam-4416	882	9	if	if	SCONJ
ejpam-4416	882	10	n	n	PRON
ejpam-4416	882	11	is	be	AUX
ejpam-4416	882	12	even	even	ADV
ejpam-4416	882	13	.	.	PUNCT
ejpam-4416	883	1	therefore	therefore	ADV
ejpam-4416	883	2	,	,	PUNCT
ejpam-4416	883	3	d(x	d(x	PROPN
ejpam-4416	883	4	,	,	PUNCT
ejpam-4416	883	5	u	u	NOUN
ejpam-4416	883	6	)	)	PUNCT
ejpam-4416	883	7	≤	≤	NUM
ejpam-4416	883	8	3	3	NUM
ejpam-4416	883	9	for	for	ADP
ejpam-4416	883	10	any	any	DET
ejpam-4416	883	11	u	u	NOUN
ejpam-4416	883	12	,	,	PUNCT
ejpam-4416	883	13	v	v	NOUN
ejpam-4416	883	14	∈	∈	PROPN
ejpam-4416	883	15	v	v	NOUN
ejpam-4416	883	16	(	(	PUNCT
ejpam-4416	883	17	c(γcn	c(γcn	PROPN
ejpam-4416	883	18	)	)	PUNCT
ejpam-4416	883	19	)	)	PUNCT
ejpam-4416	883	20	.	.	PUNCT
ejpam-4416	884	1	illustration	illustration	NOUN
ejpam-4416	884	2	2	2	NUM
ejpam-4416	884	3	.	.	PUNCT
ejpam-4416	885	1	the	the	DET
ejpam-4416	885	2	central	central	ADJ
ejpam-4416	885	3	graph	graph	NOUN
ejpam-4416	885	4	of	of	ADP
ejpam-4416	885	5	γcn	γcn	PROPN
ejpam-4416	885	6	(	(	PUNCT
ejpam-4416	885	7	n	n	X
ejpam-4416	885	8	is	be	AUX
ejpam-4416	885	9	odd	odd	ADJ
ejpam-4416	885	10	)	)	PUNCT
ejpam-4416	885	11	is	be	AUX
ejpam-4416	885	12	given	give	VERB
ejpam-4416	885	13	in	in	ADP
ejpam-4416	885	14	figure	figure	NOUN
ejpam-4416	885	15	7	7	NUM
ejpam-4416	885	16	.	.	PUNCT
ejpam-4416	885	17	............	............	PUNCT
ejpam-4416	885	18	............	............	PUNCT
ejpam-4416	885	19	............	............	PUNCT
ejpam-4416	886	1	....................................	....................................	PUNCT
ejpam-4416	886	2	....................................	....................................	PUNCT
ejpam-4416	887	1	....................................	....................................	PUNCT
ejpam-4416	887	2	....................................	....................................	PUNCT
ejpam-4416	888	1	....................................	....................................	PUNCT
ejpam-4416	888	2	....................................	....................................	PUNCT
ejpam-4416	889	1	....................................	....................................	PUNCT
ejpam-4416	889	2	....................................	....................................	PUNCT
ejpam-4416	890	1	....................................	....................................	PUNCT
ejpam-4416	890	2	....................................	....................................	PUNCT
ejpam-4416	891	1	....................................	....................................	PUNCT
ejpam-4416	891	2	.........	.........	PUNCT
ejpam-4416	892	1	.....................................................	.....................................................	PUNCT
ejpam-4416	892	2	..	..	PUNCT
ejpam-4416	892	3	.........	.........	PUNCT
ejpam-4416	893	1	.....................................................	.....................................................	PUNCT
ejpam-4416	893	2	..	..	PUNCT
ejpam-4416	893	3	.........	.........	PUNCT
ejpam-4416	894	1	.....................................................	.....................................................	PUNCT
ejpam-4416	894	2	..	..	PUNCT
ejpam-4416	894	3	.........	.........	PUNCT
ejpam-4416	895	1	.....................................................	.....................................................	PUNCT
ejpam-4416	895	2	..	..	PUNCT
ejpam-4416	895	3	.........	.........	PUNCT
ejpam-4416	896	1	.....................................................	.....................................................	PUNCT
ejpam-4416	896	2	..	..	PUNCT
ejpam-4416	896	3	.........	.........	PUNCT
ejpam-4416	897	1	.....................................................	.....................................................	PUNCT
ejpam-4416	897	2	..	..	PUNCT
ejpam-4416	897	3	.........	.........	PUNCT
ejpam-4416	898	1	.....................................................	.....................................................	PUNCT
ejpam-4416	898	2	..	..	PUNCT
ejpam-4416	898	3	.........	.........	PUNCT
ejpam-4416	899	1	.....................................................	.....................................................	PUNCT
ejpam-4416	899	2	..	..	PUNCT
ejpam-4416	899	3	.........	.........	PUNCT
ejpam-4416	900	1	.....................................................	.....................................................	PUNCT
ejpam-4416	900	2	..	..	PUNCT
ejpam-4416	900	3	.........	.........	PUNCT
ejpam-4416	901	1	.....................................................	.....................................................	PUNCT
ejpam-4416	901	2	..	..	PUNCT
ejpam-4416	901	3	.........	.........	PUNCT
ejpam-4416	902	1	.....................................................	.....................................................	PUNCT
ejpam-4416	902	2	..	..	PUNCT
ejpam-4416	902	3	.........	.........	PUNCT
ejpam-4416	903	1	.....................................................	.....................................................	PUNCT
ejpam-4416	903	2	..	..	PUNCT
ejpam-4416	903	3	.........	.........	PUNCT
ejpam-4416	904	1	.....................................................	.....................................................	PUNCT
ejpam-4416	904	2	..	..	PUNCT
ejpam-4416	904	3	.........	.........	PUNCT
ejpam-4416	905	1	.....................................................	.....................................................	PUNCT
ejpam-4416	905	2	..	..	PUNCT
ejpam-4416	905	3	.........	.........	PUNCT
ejpam-4416	906	1	.....................................................	.....................................................	PUNCT
ejpam-4416	906	2	..	..	PUNCT
ejpam-4416	906	3	.........	.........	PUNCT
ejpam-4416	907	1	.....................................................	.....................................................	PUNCT
ejpam-4416	907	2	..	..	PUNCT
ejpam-4416	907	3	c(γcn	c(γcn	PROPN
ejpam-4416	907	4	)	)	PUNCT
ejpam-4416	907	5	:	:	PUNCT
ejpam-4416	908	1	c01	c01	PROPN
ejpam-4416	908	2	c02	c02	PROPN
ejpam-4416	908	3	c03	c03	PROPN
ejpam-4416	908	4	c04c0(n−4	c04c0(n−4	PROPN
ejpam-4416	908	5	)	)	PUNCT
ejpam-4416	908	6	c0(n−3	c0(n−3	NOUN
ejpam-4416	908	7	)	)	PUNCT
ejpam-4416	908	8	c0(n−2	c0(n−2	NOUN
ejpam-4416	908	9	)	)	PUNCT
ejpam-4416	908	10	c0(n−1	c0(n−1	NOUN
ejpam-4416	908	11	)	)	PUNCT
ejpam-4416	908	12	v0	v0	NOUN
ejpam-4416	908	13	v1	v1	NOUN
ejpam-4416	908	14	v2	v2	PROPN
ejpam-4416	908	15	v3	v3	PROPN
ejpam-4416	908	16	v4vn−4	v4vn−4	NOUN
ejpam-4416	908	17	vn−3	vn−3	PROPN
ejpam-4416	908	18	vn−2	vn−2	PROPN
ejpam-4416	908	19	vn−1	vn−1	PROPN
ejpam-4416	908	20	c12	c12	PROPN
ejpam-4416	908	21	c34c(n−4)(n−3	c34c(n−4)(n−3	NOUN
ejpam-4416	908	22	)	)	PUNCT
ejpam-4416	908	23	c(n−2)(n−1	c(n−2)(n−1	PROPN
ejpam-4416	908	24	)	)	PUNCT
ejpam-4416	908	25	...........................................................................................................................................................................	...........................................................................................................................................................................	PUNCT
ejpam-4416	909	1	...............................	...............................	PUNCT
ejpam-4416	909	2	...........................................................................................................................................................................................................................	...........................................................................................................................................................................................................................	PUNCT
ejpam-4416	909	3	......................	......................	PUNCT
ejpam-4416	909	4	.....................	.....................	PUNCT
ejpam-4416	910	1	.....................	.....................	PUNCT
ejpam-4416	910	2	.....................	.....................	PUNCT
ejpam-4416	910	3	.....................	.....................	PUNCT
ejpam-4416	910	4	.....................	.....................	PUNCT
ejpam-4416	911	1	..............	..............	PUNCT
ejpam-4416	911	2	......	......	PUNCT
ejpam-4416	912	1	.....	.....	PUNCT
ejpam-4416	912	2	.....	.....	PUNCT
ejpam-4416	913	1	.....	.....	PUNCT
ejpam-4416	913	2	.....	.....	PUNCT
ejpam-4416	914	1	.....	.....	PUNCT
ejpam-4416	914	2	.....	.....	PUNCT
ejpam-4416	915	1	.....	.....	PUNCT
ejpam-4416	915	2	.....	.....	PUNCT
ejpam-4416	916	1	.....	.....	PUNCT
ejpam-4416	916	2	.....	.....	PUNCT
ejpam-4416	917	1	.....	.....	PUNCT
ejpam-4416	917	2	.....	.....	PUNCT
ejpam-4416	918	1	.....	.....	PUNCT
ejpam-4416	918	2	.....	.....	PUNCT
ejpam-4416	919	1	.....	.....	PUNCT
ejpam-4416	919	2	.....	.....	PUNCT
ejpam-4416	920	1	.....	.....	PUNCT
ejpam-4416	920	2	.....	.....	PUNCT
ejpam-4416	921	1	.....	.....	PUNCT
ejpam-4416	921	2	.....	.....	PUNCT
ejpam-4416	922	1	.....	.....	PUNCT
ejpam-4416	922	2	.....	.....	PUNCT
ejpam-4416	923	1	.....	.....	PUNCT
ejpam-4416	923	2	.....	.....	PUNCT
ejpam-4416	924	1	.....	.....	PUNCT
ejpam-4416	924	2	.....	.....	PUNCT
ejpam-4416	925	1	.....	.....	PUNCT
ejpam-4416	925	2	.....	.....	PUNCT
ejpam-4416	926	1	.....	.....	PUNCT
ejpam-4416	926	2	.....	.....	PUNCT
ejpam-4416	927	1	.....	.....	PUNCT
ejpam-4416	927	2	.....	.....	PUNCT
ejpam-4416	928	1	.....	.....	PUNCT
ejpam-4416	928	2	.....	.....	PUNCT
ejpam-4416	929	1	.....	.....	PUNCT
ejpam-4416	929	2	.....	.....	PUNCT
ejpam-4416	930	1	.....	.....	PUNCT
ejpam-4416	930	2	.....	.....	PUNCT
ejpam-4416	930	3	.............	.............	PUNCT
ejpam-4416	930	4	............	............	PUNCT
ejpam-4416	930	5	...........	...........	PUNCT
ejpam-4416	930	6	............	............	PUNCT
ejpam-4416	930	7	............	............	PUNCT
ejpam-4416	930	8	...........	...........	PUNCT
ejpam-4416	930	9	............	............	PUNCT
ejpam-4416	930	10	............	............	PUNCT
ejpam-4416	930	11	...........	...........	PUNCT
ejpam-4416	930	12	............	............	PUNCT
ejpam-4416	930	13	............	............	PUNCT
ejpam-4416	930	14	...........	...........	PUNCT
ejpam-4416	930	15	............	............	PUNCT
ejpam-4416	930	16	............	............	PUNCT
ejpam-4416	930	17	...........	...........	PUNCT
ejpam-4416	930	18	............	............	PUNCT
ejpam-4416	930	19	.....	.....	PUNCT
ejpam-4416	930	20	...........	...........	PUNCT
ejpam-4416	930	21	..........	..........	PUNCT
ejpam-4416	931	1	..........	..........	PUNCT
ejpam-4416	931	2	..........	..........	PUNCT
ejpam-4416	932	1	..........	..........	PUNCT
ejpam-4416	932	2	..........	..........	PUNCT
ejpam-4416	933	1	..........	..........	PUNCT
ejpam-4416	933	2	..........	..........	PUNCT
ejpam-4416	934	1	..........	..........	PUNCT
ejpam-4416	934	2	..........	..........	PUNCT
ejpam-4416	935	1	..........	..........	PUNCT
ejpam-4416	935	2	..........	..........	PUNCT
ejpam-4416	936	1	..........	..........	PUNCT
ejpam-4416	936	2	..........	..........	PUNCT
ejpam-4416	937	1	..........	..........	PUNCT
ejpam-4416	937	2	..........	..........	PUNCT
ejpam-4416	938	1	..........	..........	PUNCT
ejpam-4416	938	2	..........	..........	PUNCT
ejpam-4416	939	1	..........	..........	PUNCT
ejpam-4416	939	2	..........	..........	PUNCT
ejpam-4416	940	1	..........	..........	PUNCT
ejpam-4416	940	2	..........	..........	PUNCT
ejpam-4416	940	3	.......	.......	PUNCT
ejpam-4416	940	4	...........	...........	PUNCT
ejpam-4416	941	1	..........	..........	PUNCT
ejpam-4416	941	2	..........	..........	PUNCT
ejpam-4416	942	1	..........	..........	PUNCT
ejpam-4416	942	2	..........	..........	PUNCT
ejpam-4416	943	1	..........	..........	PUNCT
ejpam-4416	943	2	..........	..........	PUNCT
ejpam-4416	944	1	..........	..........	PUNCT
ejpam-4416	944	2	..........	..........	PUNCT
ejpam-4416	945	1	..........	..........	PUNCT
ejpam-4416	945	2	..........	..........	PUNCT
ejpam-4416	946	1	..........	..........	PUNCT
ejpam-4416	946	2	..........	..........	PUNCT
ejpam-4416	947	1	..........	..........	PUNCT
ejpam-4416	947	2	..........	..........	PUNCT
ejpam-4416	948	1	..........	..........	PUNCT
ejpam-4416	948	2	..........	..........	PUNCT
ejpam-4416	949	1	..........	..........	PUNCT
ejpam-4416	949	2	..........	..........	PUNCT
ejpam-4416	950	1	..........	..........	PUNCT
ejpam-4416	950	2	..........	..........	PUNCT
ejpam-4416	951	1	..........	..........	PUNCT
ejpam-4416	951	2	..........	..........	PUNCT
ejpam-4416	952	1	..........	..........	PUNCT
ejpam-4416	952	2	..........	..........	PUNCT
ejpam-4416	953	1	..........	..........	PUNCT
ejpam-4416	953	2	........	........	PUNCT
ejpam-4416	953	3	...................................................................................................................................	...................................................................................................................................	PUNCT
ejpam-4416	953	4	.......................................................................	.......................................................................	PUNCT
ejpam-4416	953	5	.............	.............	PUNCT
ejpam-4416	953	6	............	............	PUNCT
ejpam-4416	953	7	...........	...........	PUNCT
ejpam-4416	953	8	............	............	PUNCT
ejpam-4416	953	9	............	............	PUNCT
ejpam-4416	953	10	...........	...........	PUNCT
ejpam-4416	953	11	...........	...........	PUNCT
ejpam-4416	953	12	..........	..........	PUNCT
ejpam-4416	954	1	..........	..........	PUNCT
ejpam-4416	954	2	..........	..........	PUNCT
ejpam-4416	955	1	..........	..........	PUNCT
ejpam-4416	955	2	..........	..........	PUNCT
ejpam-4416	956	1	..........	..........	PUNCT
ejpam-4416	956	2	..........	..........	PUNCT
ejpam-4416	957	1	..........	..........	PUNCT
ejpam-4416	957	2	..........	..........	PUNCT
ejpam-4416	958	1	..........	..........	PUNCT
ejpam-4416	958	2	..........	..........	PUNCT
ejpam-4416	959	1	..........	..........	PUNCT
ejpam-4416	959	2	..........	..........	PUNCT
ejpam-4416	960	1	......	......	PUNCT
ejpam-4416	960	2	.........	.........	PUNCT
ejpam-4416	961	1	......	......	PUNCT
ejpam-4416	961	2	.........	.........	PUNCT
ejpam-4416	962	1	......	......	PUNCT
ejpam-4416	962	2	.........	.........	PUNCT
ejpam-4416	963	1	......	......	PUNCT
ejpam-4416	963	2	.........	.........	PUNCT
ejpam-4416	964	1	......	......	PUNCT
ejpam-4416	964	2	.........	.........	PUNCT
ejpam-4416	965	1	......	......	PUNCT
ejpam-4416	965	2	.........	.........	PUNCT
ejpam-4416	966	1	......	......	PUNCT
ejpam-4416	966	2	.........	.........	PUNCT
ejpam-4416	967	1	......	......	PUNCT
ejpam-4416	967	2	.........	.........	PUNCT
ejpam-4416	968	1	......	......	PUNCT
ejpam-4416	968	2	.........	.........	PUNCT
ejpam-4416	969	1	......	......	PUNCT
ejpam-4416	969	2	.........	.........	PUNCT
ejpam-4416	970	1	......	......	PUNCT
ejpam-4416	970	2	.....	.....	PUNCT
ejpam-4416	970	3	........	........	PUNCT
ejpam-4416	970	4	.......	.......	PUNCT
ejpam-4416	971	1	......	......	PUNCT
ejpam-4416	971	2	.......	.......	PUNCT
ejpam-4416	972	1	.......	.......	PUNCT
ejpam-4416	972	2	......	......	PUNCT
ejpam-4416	972	3	.......	.......	PUNCT
ejpam-4416	972	4	.......	.......	PUNCT
ejpam-4416	973	1	......	......	PUNCT
ejpam-4416	973	2	.......	.......	PUNCT
ejpam-4416	974	1	.......	.......	PUNCT
ejpam-4416	974	2	......	......	PUNCT
ejpam-4416	974	3	.......	.......	PUNCT
ejpam-4416	974	4	.......	.......	PUNCT
ejpam-4416	975	1	......	......	PUNCT
ejpam-4416	975	2	.......	.......	PUNCT
ejpam-4416	976	1	.......	.......	PUNCT
ejpam-4416	976	2	......	......	PUNCT
ejpam-4416	976	3	.......	.......	PUNCT
ejpam-4416	976	4	.......	.......	PUNCT
ejpam-4416	977	1	......	......	PUNCT
ejpam-4416	977	2	.......	.......	PUNCT
ejpam-4416	978	1	.......	.......	PUNCT
ejpam-4416	978	2	......	......	PUNCT
ejpam-4416	978	3	.......	.......	PUNCT
ejpam-4416	978	4	.......	.......	PUNCT
ejpam-4416	979	1	......	......	PUNCT
ejpam-4416	979	2	.......	.......	PUNCT
ejpam-4416	980	1	.......	.......	PUNCT
ejpam-4416	980	2	......	......	PUNCT
ejpam-4416	980	3	.......	.......	PUNCT
ejpam-4416	981	1	.......	.......	PUNCT
ejpam-4416	981	2	....	....	PUNCT
ejpam-4416	982	1	.............................................................................................................................................	.............................................................................................................................................	PUNCT
ejpam-4416	982	2	.................................................................................................................................................................................................	.................................................................................................................................................................................................	PUNCT
ejpam-4416	983	1	....................................................................................................................................................................................................................................	....................................................................................................................................................................................................................................	PUNCT
ejpam-4416	983	2	.............................................................................................................................................................................................................................................................................	.............................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	984	1	......	......	PUNCT
ejpam-4416	984	2	.....	.....	PUNCT
ejpam-4416	985	1	.....	.....	PUNCT
ejpam-4416	985	2	.....	.....	PUNCT
ejpam-4416	986	1	.....	.....	PUNCT
ejpam-4416	986	2	.....	.....	PUNCT
ejpam-4416	987	1	.....	.....	PUNCT
ejpam-4416	987	2	.....	.....	PUNCT
ejpam-4416	988	1	.....	.....	PUNCT
ejpam-4416	988	2	.....	.....	PUNCT
ejpam-4416	989	1	.....	.....	PUNCT
ejpam-4416	989	2	............................................................	............................................................	PUNCT
ejpam-4416	989	3	....................................................................................................................................................................................................	....................................................................................................................................................................................................	PUNCT
ejpam-4416	989	4	.............	.............	PUNCT
ejpam-4416	989	5	............	............	PUNCT
ejpam-4416	989	6	......	......	PUNCT
ejpam-4416	990	1	..........	..........	PUNCT
ejpam-4416	990	2	.........	.........	PUNCT
ejpam-4416	991	1	.........	.........	PUNCT
ejpam-4416	991	2	.........	.........	PUNCT
ejpam-4416	991	3	........	........	PUNCT
ejpam-4416	992	1	..........	..........	PUNCT
ejpam-4416	992	2	.........	.........	PUNCT
ejpam-4416	992	3	.........	.........	PUNCT
ejpam-4416	992	4	.	.	PUNCT
ejpam-4416	992	5	......................................	......................................	PUNCT
ejpam-4416	993	1	.........	.........	PUNCT
ejpam-4416	993	2	........	........	PUNCT
ejpam-4416	993	3	........	........	PUNCT
ejpam-4416	993	4	........	........	PUNCT
ejpam-4416	994	1	......	......	PUNCT
ejpam-4416	994	2	.............................................	.............................................	PUNCT
ejpam-4416	995	1	...................	...................	PUNCT
ejpam-4416	995	2	..................	..................	PUNCT
ejpam-4416	995	3	........	........	PUNCT
ejpam-4416	995	4	.........	.........	PUNCT
ejpam-4416	995	5	........	........	PUNCT
ejpam-4416	995	6	........	........	PUNCT
ejpam-4416	995	7	........	........	PUNCT
ejpam-4416	996	1	......	......	PUNCT
ejpam-4416	996	2	..........	..........	PUNCT
ejpam-4416	997	1	.........	.........	PUNCT
ejpam-4416	997	2	.........	.........	PUNCT
ejpam-4416	998	1	.........	.........	PUNCT
ejpam-4416	998	2	.........	.........	PUNCT
ejpam-4416	999	1	.........	.........	PUNCT
ejpam-4416	999	2	.........	.........	PUNCT
ejpam-4416	1000	1	.........	.........	PUNCT
ejpam-4416	1000	2	.........	.........	PUNCT
ejpam-4416	1001	1	.........	.........	PUNCT
ejpam-4416	1001	2	.........	.........	PUNCT
ejpam-4416	1002	1	.........	.........	PUNCT
ejpam-4416	1002	2	.........	.........	PUNCT
ejpam-4416	1003	1	.........	.........	PUNCT
ejpam-4416	1003	2	.....	.....	PUNCT
ejpam-4416	1003	3	...........	...........	PUNCT
ejpam-4416	1003	4	..........	..........	PUNCT
ejpam-4416	1004	1	..........	..........	PUNCT
ejpam-4416	1004	2	..........	..........	PUNCT
ejpam-4416	1005	1	..........	..........	PUNCT
ejpam-4416	1005	2	..........	..........	PUNCT
ejpam-4416	1006	1	..........	..........	PUNCT
ejpam-4416	1006	2	..........	..........	PUNCT
ejpam-4416	1007	1	..........	..........	PUNCT
ejpam-4416	1007	2	..........	..........	PUNCT
ejpam-4416	1008	1	..........	..........	PUNCT
ejpam-4416	1008	2	..........	..........	PUNCT
ejpam-4416	1009	1	..........	..........	PUNCT
ejpam-4416	1009	2	..........	..........	PUNCT
ejpam-4416	1009	3	.......	.......	PUNCT
ejpam-4416	1010	1	..........	..........	PUNCT
ejpam-4416	1010	2	.........	.........	PUNCT
ejpam-4416	1011	1	.........	.........	PUNCT
ejpam-4416	1011	2	.........	.........	PUNCT
ejpam-4416	1012	1	.........	.........	PUNCT
ejpam-4416	1012	2	.........	.........	PUNCT
ejpam-4416	1013	1	.........	.........	PUNCT
ejpam-4416	1013	2	.........	.........	PUNCT
ejpam-4416	1014	1	.........	.........	PUNCT
ejpam-4416	1014	2	.........	.........	PUNCT
ejpam-4416	1015	1	.........	.........	PUNCT
ejpam-4416	1015	2	.........	.........	PUNCT
ejpam-4416	1016	1	.........	.........	PUNCT
ejpam-4416	1016	2	.........	.........	PUNCT
ejpam-4416	1017	1	.........	.........	PUNCT
ejpam-4416	1017	2	.........	.........	PUNCT
ejpam-4416	1018	1	.........	.........	PUNCT
ejpam-4416	1018	2	.........	.........	PUNCT
ejpam-4416	1019	1	.........	.........	PUNCT
ejpam-4416	1019	2	.........	.........	PUNCT
ejpam-4416	1020	1	.........	.........	PUNCT
ejpam-4416	1020	2	.........	.........	PUNCT
ejpam-4416	1021	1	.........	.........	PUNCT
ejpam-4416	1021	2	.........	.........	PUNCT
ejpam-4416	1022	1	.........	.........	PUNCT
ejpam-4416	1022	2	......	......	PUNCT
ejpam-4416	1022	3	............................................................................................................................................................................................................................................................................................................................................................................	............................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1022	4	.....................................	.....................................	PUNCT
ejpam-4416	1022	5	.....................................	.....................................	PUNCT
ejpam-4416	1022	6	.....................................	.....................................	PUNCT
ejpam-4416	1022	7	.....................................	.....................................	PUNCT
ejpam-4416	1022	8	.....................................	.....................................	PUNCT
ejpam-4416	1022	9	.....................................	.....................................	PUNCT
ejpam-4416	1022	10	.....................................	.....................................	PUNCT
ejpam-4416	1022	11	.....................................	.....................................	PUNCT
ejpam-4416	1022	12	.....................................	.....................................	PUNCT
ejpam-4416	1023	1	.....................	.....................	PUNCT
ejpam-4416	1023	2	..........................	..........................	PUNCT
ejpam-4416	1024	1	.........................	.........................	PUNCT
ejpam-4416	1024	2	.........................	.........................	PUNCT
ejpam-4416	1024	3	.........................	.........................	PUNCT
ejpam-4416	1024	4	.........................	.........................	PUNCT
ejpam-4416	1024	5	.........................	.........................	PUNCT
ejpam-4416	1024	6	.........................	.........................	PUNCT
ejpam-4416	1024	7	.........................	.........................	PUNCT
ejpam-4416	1024	8	.........................	.........................	PUNCT
ejpam-4416	1024	9	.........................	.........................	PUNCT
ejpam-4416	1024	10	.........................	.........................	PUNCT
ejpam-4416	1024	11	.........................	.........................	PUNCT
ejpam-4416	1024	12	.........................	.........................	PUNCT
ejpam-4416	1024	13	.........................	.........................	PUNCT
ejpam-4416	1024	14	.........................	.........................	PUNCT
ejpam-4416	1024	15	.........................	.........................	PUNCT
ejpam-4416	1024	16	.........................	.........................	PUNCT
ejpam-4416	1024	17	............	............	PUNCT
ejpam-4416	1024	18	..................	..................	PUNCT
ejpam-4416	1024	19	.................	.................	PUNCT
ejpam-4416	1025	1	.................	.................	PUNCT
ejpam-4416	1025	2	.................	.................	PUNCT
ejpam-4416	1026	1	.................	.................	PUNCT
ejpam-4416	1026	2	.................	.................	PUNCT
ejpam-4416	1027	1	.................	.................	PUNCT
ejpam-4416	1027	2	.................	.................	PUNCT
ejpam-4416	1028	1	.................	.................	PUNCT
ejpam-4416	1028	2	.................	.................	PUNCT
ejpam-4416	1029	1	.................	.................	PUNCT
ejpam-4416	1029	2	.................	.................	PUNCT
ejpam-4416	1030	1	.................	.................	PUNCT
ejpam-4416	1030	2	.................	.................	PUNCT
ejpam-4416	1031	1	.................	.................	PUNCT
ejpam-4416	1031	2	.................	.................	PUNCT
ejpam-4416	1032	1	.................	.................	PUNCT
ejpam-4416	1032	2	.................	.................	PUNCT
ejpam-4416	1033	1	.................	.................	PUNCT
ejpam-4416	1033	2	.................	.................	PUNCT
ejpam-4416	1034	1	.................	.................	PUNCT
ejpam-4416	1034	2	.................	.................	PUNCT
ejpam-4416	1035	1	.................	.................	PUNCT
ejpam-4416	1035	2	.................	.................	PUNCT
ejpam-4416	1036	1	.................	.................	PUNCT
ejpam-4416	1036	2	.................	.................	PUNCT
ejpam-4416	1037	1	.................	.................	PUNCT
ejpam-4416	1037	2	.................	.................	PUNCT
ejpam-4416	1038	1	......	......	PUNCT
ejpam-4416	1038	2	........................................................................................................................................................................................................................................................................................................................................................................................................	........................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1039	1	................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1039	2	...................................................................	...................................................................	PUNCT
ejpam-4416	1040	1	...................................................................	...................................................................	PUNCT
ejpam-4416	1040	2	...................................................................	...................................................................	PUNCT
ejpam-4416	1041	1	...................................................................	...................................................................	PUNCT
ejpam-4416	1041	2	...................................................................	...................................................................	PUNCT
ejpam-4416	1041	3	...................................................................	...................................................................	PUNCT
ejpam-4416	1041	4	......	......	PUNCT
ejpam-4416	1041	5	..............................	..............................	PUNCT
ejpam-4416	1041	6	.............................	.............................	PUNCT
ejpam-4416	1041	7	.............................	.............................	PUNCT
ejpam-4416	1041	8	.............................	.............................	PUNCT
ejpam-4416	1041	9	.............................	.............................	PUNCT
ejpam-4416	1041	10	.............................	.............................	PUNCT
ejpam-4416	1041	11	.............................	.............................	PUNCT
ejpam-4416	1041	12	.............................	.............................	PUNCT
ejpam-4416	1041	13	.............................	.............................	PUNCT
ejpam-4416	1041	14	.............................	.............................	PUNCT
ejpam-4416	1041	15	.............................	.............................	PUNCT
ejpam-4416	1041	16	.............................	.............................	PUNCT
ejpam-4416	1041	17	.............................	.............................	PUNCT
ejpam-4416	1041	18	.............................	.............................	PUNCT
ejpam-4416	1041	19	.............................	.............................	PUNCT
ejpam-4416	1041	20	.............................	.............................	PUNCT
ejpam-4416	1041	21	.............................	.............................	PUNCT
ejpam-4416	1041	22	............	............	PUNCT
ejpam-4416	1041	23	..................................................	..................................................	PUNCT
ejpam-4416	1041	24	.................................................	.................................................	PUNCT
ejpam-4416	1041	25	.................................................	.................................................	PUNCT
ejpam-4416	1041	26	.................................................	.................................................	PUNCT
ejpam-4416	1041	27	.................................................	.................................................	PUNCT
ejpam-4416	1041	28	.................................................	.................................................	PUNCT
ejpam-4416	1041	29	.................................................	.................................................	PUNCT
ejpam-4416	1041	30	.................................................	.................................................	PUNCT
ejpam-4416	1041	31	.................................................	.................................................	PUNCT
ejpam-4416	1041	32	.................................................	.................................................	PUNCT
ejpam-4416	1041	33	...............................	...............................	PUNCT
ejpam-4416	1041	34	..............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	..............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1042	1	......................................................................................................................................................................................................................................................................................................................................................................................................................................................	......................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1042	2	....................................................................................................................................................	....................................................................................................................................................	PUNCT
ejpam-4416	1043	1	.............................................	.............................................	PUNCT
ejpam-4416	1043	2	.....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	.....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1043	3	..........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1044	1	...................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	...................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1044	2	........................................................................................................................................................................................................................................	........................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1045	1	....................................................................................................................................	....................................................................................................................................	PUNCT
ejpam-4416	1045	2	..................	..................	PUNCT
ejpam-4416	1046	1	.................	.................	PUNCT
ejpam-4416	1046	2	.................	.................	PUNCT
ejpam-4416	1046	3	.......	.......	PUNCT
ejpam-4416	1046	4	.............	.............	PUNCT
ejpam-4416	1046	5	............	............	PUNCT
ejpam-4416	1046	6	............	............	PUNCT
ejpam-4416	1046	7	............	............	PUNCT
ejpam-4416	1046	8	............	............	PUNCT
ejpam-4416	1046	9	.......	.......	PUNCT
ejpam-4416	1046	10	...........	...........	PUNCT
ejpam-4416	1047	1	..........	..........	PUNCT
ejpam-4416	1047	2	..........	..........	PUNCT
ejpam-4416	1048	1	..........	..........	PUNCT
ejpam-4416	1048	2	..........	..........	PUNCT
ejpam-4416	1049	1	..........	..........	PUNCT
ejpam-4416	1049	2	..........	..........	PUNCT
ejpam-4416	1050	1	..	..	PUNCT
ejpam-4416	1050	2	..........	..........	PUNCT
ejpam-4416	1051	1	.........	.........	PUNCT
ejpam-4416	1051	2	.........	.........	PUNCT
ejpam-4416	1052	1	.........	.........	PUNCT
ejpam-4416	1052	2	.........	.........	PUNCT
ejpam-4416	1053	1	.........	.........	PUNCT
ejpam-4416	1053	2	.........	.........	PUNCT
ejpam-4416	1054	1	.........	.........	PUNCT
ejpam-4416	1054	2	.........	.........	PUNCT
ejpam-4416	1054	3	..	..	PUNCT
ejpam-4416	1054	4	....................................................................................	....................................................................................	PUNCT
ejpam-4416	1054	5	.........................................................................	.........................................................................	PUNCT
ejpam-4416	1054	6	....................................................................	....................................................................	PUNCT
ejpam-4416	1054	7	...........................................................	...........................................................	PUNCT
ejpam-4416	1054	8	..................	..................	PUNCT
ejpam-4416	1055	1	.................	.................	PUNCT
ejpam-4416	1055	2	.................	.................	PUNCT
ejpam-4416	1056	1	.................	.................	PUNCT
ejpam-4416	1056	2	.................	.................	PUNCT
ejpam-4416	1057	1	.................	.................	PUNCT
ejpam-4416	1057	2	.................	.................	PUNCT
ejpam-4416	1058	1	.................	.................	PUNCT
ejpam-4416	1058	2	.................	.................	PUNCT
ejpam-4416	1059	1	.................	.................	PUNCT
ejpam-4416	1059	2	.................	.................	PUNCT
ejpam-4416	1060	1	.................	.................	PUNCT
ejpam-4416	1060	2	.........	.........	PUNCT
ejpam-4416	1060	3	.............	.............	PUNCT
ejpam-4416	1060	4	............	............	PUNCT
ejpam-4416	1060	5	............	............	PUNCT
ejpam-4416	1060	6	............	............	PUNCT
ejpam-4416	1060	7	............	............	PUNCT
ejpam-4416	1060	8	............	............	PUNCT
ejpam-4416	1060	9	............	............	PUNCT
ejpam-4416	1060	10	............	............	PUNCT
ejpam-4416	1060	11	............	............	PUNCT
ejpam-4416	1060	12	............	............	PUNCT
ejpam-4416	1060	13	............	............	PUNCT
ejpam-4416	1060	14	............	............	PUNCT
ejpam-4416	1060	15	............	............	PUNCT
ejpam-4416	1060	16	............	............	PUNCT
ejpam-4416	1060	17	............	............	PUNCT
ejpam-4416	1060	18	............	............	PUNCT
ejpam-4416	1060	19	............	............	PUNCT
ejpam-4416	1060	20	............	............	PUNCT
ejpam-4416	1060	21	............	............	PUNCT
ejpam-4416	1060	22	............	............	PUNCT
ejpam-4416	1060	23	...........	...........	PUNCT
ejpam-4416	1060	24	..........	..........	PUNCT
ejpam-4416	1061	1	..........	..........	PUNCT
ejpam-4416	1061	2	..........	..........	PUNCT
ejpam-4416	1062	1	..........	..........	PUNCT
ejpam-4416	1062	2	..........	..........	PUNCT
ejpam-4416	1063	1	..........	..........	PUNCT
ejpam-4416	1063	2	..........	..........	PUNCT
ejpam-4416	1064	1	..........	..........	PUNCT
ejpam-4416	1064	2	..........	..........	PUNCT
ejpam-4416	1065	1	..........	..........	PUNCT
ejpam-4416	1065	2	..........	..........	PUNCT
ejpam-4416	1066	1	..........	..........	PUNCT
ejpam-4416	1066	2	..........	..........	PUNCT
ejpam-4416	1067	1	..........	..........	PUNCT
ejpam-4416	1067	2	..........	..........	PUNCT
ejpam-4416	1068	1	..........	..........	PUNCT
ejpam-4416	1068	2	..........	..........	PUNCT
ejpam-4416	1069	1	..........	..........	PUNCT
ejpam-4416	1069	2	..........	..........	PUNCT
ejpam-4416	1070	1	..........	..........	PUNCT
ejpam-4416	1070	2	..........	..........	PUNCT
ejpam-4416	1071	1	..........	..........	PUNCT
ejpam-4416	1071	2	..........	..........	PUNCT
ejpam-4416	1072	1	..........	..........	PUNCT
ejpam-4416	1072	2	......	......	PUNCT
ejpam-4416	1073	1	..........	..........	PUNCT
ejpam-4416	1073	2	.........	.........	PUNCT
ejpam-4416	1074	1	.........	.........	PUNCT
ejpam-4416	1074	2	.........	.........	PUNCT
ejpam-4416	1075	1	.........	.........	PUNCT
ejpam-4416	1075	2	.........	.........	PUNCT
ejpam-4416	1076	1	.........	.........	PUNCT
ejpam-4416	1076	2	.........	.........	PUNCT
ejpam-4416	1077	1	.........	.........	PUNCT
ejpam-4416	1077	2	.........	.........	PUNCT
ejpam-4416	1078	1	.........	.........	PUNCT
ejpam-4416	1078	2	.........	.........	PUNCT
ejpam-4416	1079	1	.........	.........	PUNCT
ejpam-4416	1079	2	.........	.........	PUNCT
ejpam-4416	1080	1	.........	.........	PUNCT
ejpam-4416	1080	2	.........	.........	PUNCT
ejpam-4416	1081	1	.........	.........	PUNCT
ejpam-4416	1081	2	.........	.........	PUNCT
ejpam-4416	1082	1	.........	.........	PUNCT
ejpam-4416	1082	2	.........	.........	PUNCT
ejpam-4416	1083	1	.........	.........	PUNCT
ejpam-4416	1083	2	.........	.........	PUNCT
ejpam-4416	1084	1	.........	.........	PUNCT
ejpam-4416	1084	2	.........	.........	PUNCT
ejpam-4416	1085	1	.........	.........	PUNCT
ejpam-4416	1085	2	.........	.........	PUNCT
ejpam-4416	1086	1	.........	.........	PUNCT
ejpam-4416	1086	2	.........	.........	PUNCT
ejpam-4416	1087	1	.........	.........	PUNCT
ejpam-4416	1087	2	.........	.........	PUNCT
ejpam-4416	1088	1	.........	.........	PUNCT
ejpam-4416	1088	2	.........	.........	PUNCT
ejpam-4416	1089	1	.................................................................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................................................................	PROPN
ejpam-4416	1089	2	.................................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1089	3	.................................................................................................................................................................................................................................................	.................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1089	4	............	............	PUNCT
ejpam-4416	1089	5	...........	...........	PUNCT
ejpam-4416	1089	6	...........	...........	PUNCT
ejpam-4416	1089	7	....	....	PUNCT
ejpam-4416	1089	8	.............................	.............................	PUNCT
ejpam-4416	1089	9	......................................................................................................................................................................................................................	......................................................................................................................................................................................................................	PUNCT
ejpam-4416	1089	10	....................	....................	PUNCT
ejpam-4416	1089	11	........................................	........................................	PUNCT
ejpam-4416	1089	12	....................	....................	PUNCT
ejpam-4416	1089	13	........................................	........................................	PUNCT
ejpam-4416	1090	1	.............................................................................................................................................................................................................................................................................................................................................	.............................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1090	2	.......................	.......................	PUNCT
ejpam-4416	1090	3	......................	......................	PUNCT
ejpam-4416	1090	4	......................	......................	PUNCT
ejpam-4416	1091	1	......................	......................	PUNCT
ejpam-4416	1091	2	......................	......................	PUNCT
ejpam-4416	1092	1	.....................	.....................	PUNCT
ejpam-4416	1092	2	.....................	.....................	PUNCT
ejpam-4416	1092	3	.....................	.....................	PUNCT
ejpam-4416	1092	4	.....................	.....................	PUNCT
ejpam-4416	1092	5	....................	....................	PUNCT
ejpam-4416	1092	6	....................	....................	PUNCT
ejpam-4416	1093	1	...................	...................	PUNCT
ejpam-4416	1093	2	...................	...................	PUNCT
ejpam-4416	1094	1	..................	..................	PUNCT
ejpam-4416	1094	2	..................	..................	PUNCT
ejpam-4416	1095	1	.................	.................	PUNCT
ejpam-4416	1095	2	.................	.................	PUNCT
ejpam-4416	1095	3	...............	...............	PUNCT
ejpam-4416	1095	4	...............	...............	PUNCT
ejpam-4416	1095	5	..............	..............	PUNCT
ejpam-4416	1096	1	..............	..............	PUNCT
ejpam-4416	1096	2	...........	...........	PUNCT
ejpam-4416	1096	3	...........	...........	PUNCT
ejpam-4416	1096	4	.........	.........	PUNCT
ejpam-4416	1097	1	.........	.........	PUNCT
ejpam-4416	1097	2	..	..	PUNCT
ejpam-4416	1097	3	..	..	PUNCT
ejpam-4416	1097	4	.............................................................................................................................................................................................................................................................................................................................................	.............................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1097	5	.......................	.......................	PUNCT
ejpam-4416	1097	6	......................	......................	PUNCT
ejpam-4416	1097	7	......................	......................	PUNCT
ejpam-4416	1097	8	......................	......................	PUNCT
ejpam-4416	1097	9	......................	......................	PUNCT
ejpam-4416	1097	10	.....................	.....................	PUNCT
ejpam-4416	1097	11	.....................	.....................	PUNCT
ejpam-4416	1097	12	.....................	.....................	PUNCT
ejpam-4416	1097	13	.....................	.....................	PUNCT
ejpam-4416	1097	14	....................	....................	PUNCT
ejpam-4416	1097	15	....................	....................	PUNCT
ejpam-4416	1098	1	...................	...................	PUNCT
ejpam-4416	1098	2	...................	...................	PUNCT
ejpam-4416	1099	1	..................	..................	PUNCT
ejpam-4416	1099	2	..................	..................	PUNCT
ejpam-4416	1100	1	.................	.................	PUNCT
ejpam-4416	1100	2	.................	.................	PUNCT
ejpam-4416	1100	3	...............	...............	PUNCT
ejpam-4416	1100	4	...............	...............	PUNCT
ejpam-4416	1100	5	..............	..............	PUNCT
ejpam-4416	1101	1	..............	..............	PUNCT
ejpam-4416	1101	2	...........	...........	PUNCT
ejpam-4416	1101	3	...........	...........	PUNCT
ejpam-4416	1101	4	.........	.........	PUNCT
ejpam-4416	1102	1	.........	.........	PUNCT
ejpam-4416	1102	2	..	..	PUNCT
ejpam-4416	1102	3	..	..	PUNCT
ejpam-4416	1102	4	...................................................................................................................................................................................................................	...................................................................................................................................................................................................................	PUNCT
ejpam-4416	1102	5	.............	.............	PUNCT
ejpam-4416	1102	6	............	............	PUNCT
ejpam-4416	1102	7	............	............	PUNCT
ejpam-4416	1102	8	...........	...........	PUNCT
ejpam-4416	1102	9	...........	...........	PUNCT
ejpam-4416	1102	10	..........	..........	PUNCT
ejpam-4416	1103	1	..........	..........	PUNCT
ejpam-4416	1103	2	........	........	PUNCT
ejpam-4416	1104	1	........	........	PUNCT
ejpam-4416	1104	2	......	......	PUNCT
ejpam-4416	1105	1	......	......	PUNCT
ejpam-4416	1105	2	.............................................................................................................................................................................................................................................................................................................................................	.............................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1106	1	.......................	.......................	PUNCT
ejpam-4416	1106	2	......................	......................	PUNCT
ejpam-4416	1107	1	......................	......................	PUNCT
ejpam-4416	1107	2	......................	......................	PUNCT
ejpam-4416	1107	3	......................	......................	PUNCT
ejpam-4416	1108	1	.....................	.....................	PUNCT
ejpam-4416	1108	2	.....................	.....................	PUNCT
ejpam-4416	1108	3	.....................	.....................	PUNCT
ejpam-4416	1108	4	.....................	.....................	PUNCT
ejpam-4416	1108	5	....................	....................	PUNCT
ejpam-4416	1108	6	....................	....................	PUNCT
ejpam-4416	1109	1	...................	...................	PUNCT
ejpam-4416	1109	2	...................	...................	PUNCT
ejpam-4416	1110	1	..................	..................	PUNCT
ejpam-4416	1110	2	..................	..................	PUNCT
ejpam-4416	1111	1	.................	.................	PUNCT
ejpam-4416	1111	2	.................	.................	PUNCT
ejpam-4416	1111	3	...............	...............	PUNCT
ejpam-4416	1111	4	...............	...............	PUNCT
ejpam-4416	1111	5	..............	..............	PUNCT
ejpam-4416	1112	1	..............	..............	PUNCT
ejpam-4416	1112	2	...........	...........	PUNCT
ejpam-4416	1112	3	...........	...........	PUNCT
ejpam-4416	1112	4	.........	.........	PUNCT
ejpam-4416	1113	1	.........	.........	PUNCT
ejpam-4416	1113	2	..	..	PUNCT
ejpam-4416	1113	3	..	..	PUNCT
ejpam-4416	1113	4	.............................................................................................................................................................................................................................................................................................................................................	.............................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1113	5	.......................	.......................	PUNCT
ejpam-4416	1113	6	......................	......................	PUNCT
ejpam-4416	1113	7	......................	......................	PUNCT
ejpam-4416	1113	8	......................	......................	PUNCT
ejpam-4416	1113	9	......................	......................	PUNCT
ejpam-4416	1113	10	.....................	.....................	PUNCT
ejpam-4416	1113	11	.....................	.....................	PUNCT
ejpam-4416	1113	12	.....................	.....................	PUNCT
ejpam-4416	1113	13	.....................	.....................	PUNCT
ejpam-4416	1113	14	....................	....................	PUNCT
ejpam-4416	1113	15	....................	....................	PUNCT
ejpam-4416	1114	1	...................	...................	PUNCT
ejpam-4416	1114	2	...................	...................	PUNCT
ejpam-4416	1115	1	..................	..................	PUNCT
ejpam-4416	1115	2	..................	..................	PUNCT
ejpam-4416	1116	1	.................	.................	PUNCT
ejpam-4416	1116	2	.................	.................	PUNCT
ejpam-4416	1116	3	...............	...............	PUNCT
ejpam-4416	1116	4	...............	...............	PUNCT
ejpam-4416	1116	5	..............	..............	PUNCT
ejpam-4416	1117	1	..............	..............	PUNCT
ejpam-4416	1117	2	...........	...........	PUNCT
ejpam-4416	1117	3	...........	...........	PUNCT
ejpam-4416	1117	4	.........	.........	PUNCT
ejpam-4416	1118	1	.........	.........	PUNCT
ejpam-4416	1118	2	..	..	PUNCT
ejpam-4416	1118	3	..	..	PUNCT
ejpam-4416	1118	4	...................................................................................................................................................................................................................	...................................................................................................................................................................................................................	PUNCT
ejpam-4416	1118	5	.............	.............	PUNCT
ejpam-4416	1118	6	............	............	PUNCT
ejpam-4416	1118	7	............	............	PUNCT
ejpam-4416	1118	8	...........	...........	PUNCT
ejpam-4416	1118	9	...........	...........	PUNCT
ejpam-4416	1118	10	..........	..........	PUNCT
ejpam-4416	1119	1	..........	..........	PUNCT
ejpam-4416	1119	2	........	........	PUNCT
ejpam-4416	1120	1	........	........	PUNCT
ejpam-4416	1120	2	......	......	PUNCT
ejpam-4416	1121	1	......	......	PUNCT
ejpam-4416	1121	2	.............................................................................................................................................................................................................................................................................................................................................	.............................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1122	1	.......................	.......................	PUNCT
ejpam-4416	1122	2	......................	......................	PUNCT
ejpam-4416	1123	1	......................	......................	PUNCT
ejpam-4416	1123	2	......................	......................	PUNCT
ejpam-4416	1123	3	......................	......................	PUNCT
ejpam-4416	1124	1	.....................	.....................	PUNCT
ejpam-4416	1124	2	.....................	.....................	PUNCT
ejpam-4416	1124	3	.....................	.....................	PUNCT
ejpam-4416	1124	4	.....................	.....................	PUNCT
ejpam-4416	1124	5	....................	....................	PUNCT
ejpam-4416	1124	6	....................	....................	PUNCT
ejpam-4416	1125	1	...................	...................	PUNCT
ejpam-4416	1125	2	...................	...................	PUNCT
ejpam-4416	1126	1	..................	..................	PUNCT
ejpam-4416	1126	2	..................	..................	PUNCT
ejpam-4416	1127	1	.................	.................	PUNCT
ejpam-4416	1127	2	.................	.................	PUNCT
ejpam-4416	1127	3	...............	...............	PUNCT
ejpam-4416	1127	4	...............	...............	PUNCT
ejpam-4416	1127	5	..............	..............	PUNCT
ejpam-4416	1128	1	..............	..............	PUNCT
ejpam-4416	1128	2	...........	...........	PUNCT
ejpam-4416	1128	3	...........	...........	PUNCT
ejpam-4416	1128	4	.........	.........	PUNCT
ejpam-4416	1129	1	.........	.........	PUNCT
ejpam-4416	1129	2	..	..	PUNCT
ejpam-4416	1129	3	..	..	PUNCT
ejpam-4416	1129	4	.............................................................................................................................................................................................................................................................................................................................................	.............................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1129	5	.......................	.......................	PUNCT
ejpam-4416	1129	6	......................	......................	PUNCT
ejpam-4416	1129	7	......................	......................	PUNCT
ejpam-4416	1129	8	......................	......................	PUNCT
ejpam-4416	1129	9	......................	......................	PUNCT
ejpam-4416	1129	10	.....................	.....................	PUNCT
ejpam-4416	1129	11	.....................	.....................	PUNCT
ejpam-4416	1129	12	.....................	.....................	PUNCT
ejpam-4416	1129	13	.....................	.....................	PUNCT
ejpam-4416	1129	14	....................	....................	PUNCT
ejpam-4416	1129	15	....................	....................	PUNCT
ejpam-4416	1130	1	...................	...................	PUNCT
ejpam-4416	1130	2	...................	...................	PUNCT
ejpam-4416	1131	1	..................	..................	PUNCT
ejpam-4416	1131	2	..................	..................	PUNCT
ejpam-4416	1132	1	.................	.................	PUNCT
ejpam-4416	1132	2	.................	.................	PUNCT
ejpam-4416	1132	3	...............	...............	PUNCT
ejpam-4416	1132	4	...............	...............	PUNCT
ejpam-4416	1132	5	..............	..............	PUNCT
ejpam-4416	1133	1	..............	..............	PUNCT
ejpam-4416	1133	2	...........	...........	PUNCT
ejpam-4416	1133	3	...........	...........	PUNCT
ejpam-4416	1133	4	.........	.........	PUNCT
ejpam-4416	1133	5	.........	.........	PUNCT
ejpam-4416	1134	1	..	..	PUNCT
ejpam-4416	1134	2	..	..	PUNCT
ejpam-4416	1134	3	figure	figure	VERB
ejpam-4416	1134	4	7	7	NUM
ejpam-4416	1134	5	:	:	PUNCT
ejpam-4416	1134	6	central	central	ADJ
ejpam-4416	1134	7	graph	graph	NOUN
ejpam-4416	1134	8	of	of	ADP
ejpam-4416	1134	9	γcn	γcn	PROPN
ejpam-4416	1134	10	,	,	PUNCT
ejpam-4416	1134	11	n	n	X
ejpam-4416	1134	12	is	be	AUX
ejpam-4416	1134	13	odd	odd	ADJ
ejpam-4416	1134	14	figure	figure	NOUN
ejpam-4416	1134	15	7	7	NUM
ejpam-4416	1134	16	shows	show	VERB
ejpam-4416	1134	17	that	that	SCONJ
ejpam-4416	1134	18	any	any	DET
ejpam-4416	1134	19	arbitrary	arbitrary	ADJ
ejpam-4416	1134	20	vertex	vertex	NOUN
ejpam-4416	1134	21	x	x	SYM
ejpam-4416	1134	22	∈	∈	NOUN
ejpam-4416	1134	23	v	v	NOUN
ejpam-4416	1134	24	(	(	PUNCT
ejpam-4416	1134	25	c(γcn	c(γcn	PROPN
ejpam-4416	1134	26	)	)	PUNCT
ejpam-4416	1134	27	)	)	PUNCT
ejpam-4416	1134	28	has	have	VERB
ejpam-4416	1134	29	the	the	DET
ejpam-4416	1134	30	maximum	maximum	ADJ
ejpam-4416	1134	31	distance	distance	NOUN
ejpam-4416	1134	32	of	of	ADP
ejpam-4416	1134	33	3	3	NUM
ejpam-4416	1134	34	.	.	PUNCT
ejpam-4416	1135	1	the	the	DET
ejpam-4416	1135	2	same	same	ADJ
ejpam-4416	1135	3	argument	argument	NOUN
ejpam-4416	1135	4	for	for	ADP
ejpam-4416	1135	5	the	the	DET
ejpam-4416	1135	6	central	central	ADJ
ejpam-4416	1135	7	graph	graph	NOUN
ejpam-4416	1135	8	of	of	ADP
ejpam-4416	1135	9	the	the	DET
ejpam-4416	1135	10	identity	identity	NOUN
ejpam-4416	1135	11	graph	graph	NOUN
ejpam-4416	1135	12	of	of	ADP
ejpam-4416	1135	13	cn	cn	PROPN
ejpam-4416	1135	14	(	(	PUNCT
ejpam-4416	1135	15	n	n	X
ejpam-4416	1135	16	is	be	AUX
ejpam-4416	1135	17	even	even	ADV
ejpam-4416	1135	18	)	)	PUNCT
ejpam-4416	1135	19	.	.	PUNCT
ejpam-4416	1136	1	the	the	DET
ejpam-4416	1136	2	only	only	ADJ
ejpam-4416	1136	3	difference	difference	NOUN
ejpam-4416	1136	4	is	be	AUX
ejpam-4416	1136	5	that	that	PRON
ejpam-4416	1136	6	d(vn−1	d(vn−1	PROPN
ejpam-4416	1136	7	,	,	PUNCT
ejpam-4416	1136	8	x	x	NOUN
ejpam-4416	1136	9	)	)	PUNCT
ejpam-4416	1136	10	≤	≤	NUM
ejpam-4416	1136	11	2	2	NUM
ejpam-4416	1136	12	,	,	PUNCT
ejpam-4416	1136	13	for	for	ADP
ejpam-4416	1136	14	any	any	DET
ejpam-4416	1136	15	other	other	ADJ
ejpam-4416	1136	16	x	x	PART
ejpam-4416	1136	17	∈	∈	PROPN
ejpam-4416	1136	18	v	v	NOUN
ejpam-4416	1136	19	(	(	PUNCT
ejpam-4416	1136	20	c(γcn	c(γcn	PROPN
ejpam-4416	1136	21	)	)	PUNCT
ejpam-4416	1136	22	)	)	PUNCT
ejpam-4416	1136	23	.	.	PUNCT
ejpam-4416	1137	1	the	the	DET
ejpam-4416	1137	2	next	next	ADJ
ejpam-4416	1137	3	proposition	proposition	NOUN
ejpam-4416	1137	4	determines	determine	VERB
ejpam-4416	1137	5	the	the	DET
ejpam-4416	1137	6	eccentricities	eccentricity	NOUN
ejpam-4416	1137	7	of	of	ADP
ejpam-4416	1137	8	the	the	DET
ejpam-4416	1137	9	vertices	vertex	NOUN
ejpam-4416	1137	10	of	of	ADP
ejpam-4416	1137	11	c(γcn	c(γcn	PROPN
ejpam-4416	1137	12	)	)	PUNCT
ejpam-4416	1137	13	.	.	PUNCT
ejpam-4416	1138	1	proposition	proposition	NOUN
ejpam-4416	1138	2	4	4	NUM
ejpam-4416	1138	3	.	.	PUNCT
ejpam-4416	1139	1	let	let	VERB
ejpam-4416	1139	2	c(γcn	c(γcn	PROPN
ejpam-4416	1139	3	)	)	PUNCT
ejpam-4416	1139	4	(	(	PUNCT
ejpam-4416	1139	5	n	n	CCONJ
ejpam-4416	1139	6	≥	≥	NOUN
ejpam-4416	1139	7	2	2	NUM
ejpam-4416	1139	8	)	)	PUNCT
ejpam-4416	1139	9	be	be	AUX
ejpam-4416	1139	10	the	the	DET
ejpam-4416	1139	11	central	central	ADJ
ejpam-4416	1139	12	graph	graph	NOUN
ejpam-4416	1139	13	of	of	ADP
ejpam-4416	1139	14	γcn	γcn	PROPN
ejpam-4416	1139	15	.	.	PUNCT
ejpam-4416	1140	1	the	the	DET
ejpam-4416	1140	2	eccentricities	eccentricity	NOUN
ejpam-4416	1140	3	of	of	ADP
ejpam-4416	1140	4	the	the	DET
ejpam-4416	1140	5	vertices	vertex	NOUN
ejpam-4416	1140	6	of	of	ADP
ejpam-4416	1140	7	c(γcn	c(γcn	PROPN
ejpam-4416	1140	8	)	)	PUNCT
ejpam-4416	1140	9	are	be	AUX
ejpam-4416	1140	10	as	as	SCONJ
ejpam-4416	1140	11	follows	follow	VERB
ejpam-4416	1140	12	:	:	PUNCT
ejpam-4416	1140	13	i.	i.	NOUN
ejpam-4416	1140	14	if	if	SCONJ
ejpam-4416	1140	15	n	n	PROPN
ejpam-4416	1140	16	is	be	AUX
ejpam-4416	1140	17	odd	odd	ADJ
ejpam-4416	1140	18	,	,	PUNCT
ejpam-4416	1140	19	then	then	ADV
ejpam-4416	1140	20	e(u	e(u	PROPN
ejpam-4416	1140	21	)	)	PUNCT
ejpam-4416	1140	22	=	=	SYM
ejpam-4416	1140	23	3	3	NUM
ejpam-4416	1140	24	for	for	ADP
ejpam-4416	1140	25	all	all	DET
ejpam-4416	1140	26	u	u	NOUN
ejpam-4416	1140	27	∈	∈	PROPN
ejpam-4416	1140	28	v	v	NOUN
ejpam-4416	1140	29	(	(	PUNCT
ejpam-4416	1140	30	c(γcn	c(γcn	PROPN
ejpam-4416	1140	31	)	)	PUNCT
ejpam-4416	1140	32	)	)	PUNCT
ejpam-4416	1140	33	.	.	PUNCT
ejpam-4416	1141	1	ii	ii	PROPN
ejpam-4416	1141	2	.	.	PUNCT
ejpam-4416	1142	1	if	if	SCONJ
ejpam-4416	1142	2	n	n	PRON
ejpam-4416	1142	3	is	be	AUX
ejpam-4416	1142	4	even	even	ADV
ejpam-4416	1142	5	,	,	PUNCT
ejpam-4416	1142	6	then	then	ADV
ejpam-4416	1142	7	e(u	e(u	PROPN
ejpam-4416	1142	8	)	)	PUNCT
ejpam-4416	1142	9	is	be	AUX
ejpam-4416	1142	10	either	either	PRON
ejpam-4416	1142	11	2	2	NUM
ejpam-4416	1142	12	or	or	CCONJ
ejpam-4416	1142	13	3	3	NUM
ejpam-4416	1142	14	,	,	PUNCT
ejpam-4416	1142	15	u	u	NOUN
ejpam-4416	1142	16	∈	∈	PROPN
ejpam-4416	1142	17	v	v	NOUN
ejpam-4416	1142	18	(	(	PUNCT
ejpam-4416	1142	19	c(γcn	c(γcn	PROPN
ejpam-4416	1142	20	)	)	PUNCT
ejpam-4416	1142	21	)	)	PUNCT
ejpam-4416	1142	22	.	.	PUNCT
ejpam-4416	1143	1	c.	c.	PROPN
ejpam-4416	1143	2	alib	alib	PROPN
ejpam-4416	1143	3	,	,	PUNCT
ejpam-4416	1143	4	d.	d.	PROPN
ejpam-4416	1143	5	magpantay	magpantay	PROPN
ejpam-4416	1143	6	/	/	SYM
ejpam-4416	1143	7	eur	eur	PROPN
ejpam-4416	1143	8	.	.	PUNCT
ejpam-4416	1144	1	j.	j.	PROPN
ejpam-4416	1144	2	pure	pure	PROPN
ejpam-4416	1144	3	appl	appl	PROPN
ejpam-4416	1144	4	.	.	PROPN
ejpam-4416	1144	5	math	math	PROPN
ejpam-4416	1144	6	,	,	PUNCT
ejpam-4416	1144	7	15	15	NUM
ejpam-4416	1144	8	(	(	PUNCT
ejpam-4416	1144	9	3	3	NUM
ejpam-4416	1144	10	)	)	PUNCT
ejpam-4416	1144	11	(	(	PUNCT
ejpam-4416	1144	12	2022	2022	NUM
ejpam-4416	1144	13	)	)	PUNCT
ejpam-4416	1144	14	,	,	PUNCT
ejpam-4416	1144	15	1098	1098	NUM
ejpam-4416	1144	16	-	-	SYM
ejpam-4416	1144	17	1112	1112	NUM
ejpam-4416	1144	18	1108	1108	NUM
ejpam-4416	1144	19	proof	proof	NOUN
ejpam-4416	1144	20	.	.	PUNCT
ejpam-4416	1145	1	let	let	VERB
ejpam-4416	1145	2	c(γcn	c(γcn	PROPN
ejpam-4416	1145	3	)	)	PUNCT
ejpam-4416	1145	4	(	(	PUNCT
ejpam-4416	1145	5	n	n	CCONJ
ejpam-4416	1145	6	≥	≥	NOUN
ejpam-4416	1145	7	2	2	NUM
ejpam-4416	1145	8	)	)	PUNCT
ejpam-4416	1145	9	be	be	AUX
ejpam-4416	1145	10	the	the	DET
ejpam-4416	1145	11	central	central	ADJ
ejpam-4416	1145	12	graph	graph	NOUN
ejpam-4416	1145	13	of	of	ADP
ejpam-4416	1145	14	γcn	γcn	PROPN
ejpam-4416	1145	15	.	.	PUNCT
ejpam-4416	1146	1	(	(	PUNCT
ejpam-4416	1146	2	i	i	NOUN
ejpam-4416	1146	3	)	)	PUNCT
ejpam-4416	1146	4	.	.	PUNCT
ejpam-4416	1147	1	if	if	SCONJ
ejpam-4416	1147	2	n	n	NOUN
ejpam-4416	1147	3	is	be	AUX
ejpam-4416	1147	4	odd	odd	ADJ
ejpam-4416	1147	5	,	,	PUNCT
ejpam-4416	1147	6	(	(	PUNCT
ejpam-4416	1147	7	see	see	VERB
ejpam-4416	1147	8	figure	figure	NOUN
ejpam-4416	1147	9	3	3	NUM
ejpam-4416	1147	10	)	)	PUNCT
ejpam-4416	1147	11	,	,	PUNCT
ejpam-4416	1147	12	every	every	DET
ejpam-4416	1147	13	vertex	vertex	NOUN
ejpam-4416	1147	14	u	u	NOUN
ejpam-4416	1147	15	∈	∈	PROPN
ejpam-4416	1147	16	v	v	NOUN
ejpam-4416	1147	17	(	(	PUNCT
ejpam-4416	1147	18	c(γcn	c(γcn	PROPN
ejpam-4416	1147	19	)	)	PUNCT
ejpam-4416	1147	20	)	)	PUNCT
ejpam-4416	1147	21	has	have	VERB
ejpam-4416	1147	22	a	a	DET
ejpam-4416	1147	23	maximum	maximum	ADJ
ejpam-4416	1147	24	distance	distance	NOUN
ejpam-4416	1147	25	of	of	ADP
ejpam-4416	1147	26	3	3	NUM
ejpam-4416	1147	27	,	,	PUNCT
ejpam-4416	1147	28	that	that	ADV
ejpam-4416	1147	29	is	is	ADV
ejpam-4416	1147	30	,	,	PUNCT
ejpam-4416	1147	31	e(v0	e(v0	ADJ
ejpam-4416	1147	32	)	)	PUNCT
ejpam-4416	1147	33	=	=	SYM
ejpam-4416	1147	34	3	3	NUM
ejpam-4416	1147	35	,	,	PUNCT
ejpam-4416	1147	36	e(c0i	e(c0i	NOUN
ejpam-4416	1147	37	)	)	PUNCT
ejpam-4416	1147	38	=	=	SYM
ejpam-4416	1147	39	3	3	NUM
ejpam-4416	1147	40	,	,	PUNCT
ejpam-4416	1147	41	1	1	NUM
ejpam-4416	1147	42	≤	≤	NUM
ejpam-4416	1147	43	i	i	PRON
ejpam-4416	1147	44	≤	≤	NOUN
ejpam-4416	1147	45	(	(	PUNCT
ejpam-4416	1147	46	n−	n−	NOUN
ejpam-4416	1147	47	1	1	NUM
ejpam-4416	1147	48	)	)	PUNCT
ejpam-4416	1147	49	,	,	PUNCT
ejpam-4416	1147	50	e(vi	e(vi	X
ejpam-4416	1147	51	)	)	PUNCT
ejpam-4416	1147	52	=	=	SYM
ejpam-4416	1147	53	3	3	NUM
ejpam-4416	1147	54	,	,	PUNCT
ejpam-4416	1147	55	1	1	NUM
ejpam-4416	1147	56	≤	≤	NUM
ejpam-4416	1147	57	i	i	PRON
ejpam-4416	1147	58	≤	≤	NOUN
ejpam-4416	1147	59	(	(	PUNCT
ejpam-4416	1147	60	n−	n−	NOUN
ejpam-4416	1147	61	1	1	NUM
ejpam-4416	1147	62	)	)	PUNCT
ejpam-4416	1147	63	,	,	PUNCT
ejpam-4416	1147	64	e(c(2i−1)(2i	e(c(2i−1)(2i	PROPN
ejpam-4416	1147	65	)	)	PUNCT
ejpam-4416	1147	66	)	)	PUNCT
ejpam-4416	1148	1	=	=	SYM
ejpam-4416	1148	2	3	3	NUM
ejpam-4416	1148	3	,	,	PUNCT
ejpam-4416	1148	4	1	1	NUM
ejpam-4416	1148	5	≤	≤	NUM
ejpam-4416	1148	6	i	i	X
ejpam-4416	1148	7	≤	≤	ADJ
ejpam-4416	1149	1	n−1	n−1	PROPN
ejpam-4416	1149	2	2	2	NUM
ejpam-4416	1149	3	.	.	PUNCT
ejpam-4416	1150	1	thus	thus	ADV
ejpam-4416	1150	2	,	,	PUNCT
ejpam-4416	1150	3	for	for	ADP
ejpam-4416	1150	4	any	any	DET
ejpam-4416	1150	5	u	u	PROPN
ejpam-4416	1150	6	∈	∈	PROPN
ejpam-4416	1150	7	v	v	NOUN
ejpam-4416	1150	8	(	(	PUNCT
ejpam-4416	1150	9	c(γcn	c(γcn	PROPN
ejpam-4416	1150	10	)	)	PUNCT
ejpam-4416	1150	11	)	)	PUNCT
ejpam-4416	1150	12	,	,	PUNCT
ejpam-4416	1150	13	e(u	e(u	PROPN
ejpam-4416	1150	14	)	)	PUNCT
ejpam-4416	1150	15	=	=	SYM
ejpam-4416	1151	1	3	3	X
ejpam-4416	1151	2	.	.	PUNCT
ejpam-4416	1151	3	(	(	PUNCT
ejpam-4416	1151	4	ii	ii	NOUN
ejpam-4416	1151	5	)	)	PUNCT
ejpam-4416	1151	6	.	.	PUNCT
ejpam-4416	1152	1	if	if	SCONJ
ejpam-4416	1152	2	n	n	PRON
ejpam-4416	1152	3	is	be	AUX
ejpam-4416	1152	4	even	even	ADV
ejpam-4416	1152	5	,	,	PUNCT
ejpam-4416	1152	6	(	(	PUNCT
ejpam-4416	1152	7	see	see	VERB
ejpam-4416	1152	8	figure	figure	NOUN
ejpam-4416	1152	9	6	6	NUM
ejpam-4416	1152	10	)	)	PUNCT
ejpam-4416	1152	11	,	,	PUNCT
ejpam-4416	1152	12	e(v0	e(v0	ADJ
ejpam-4416	1152	13	)	)	PUNCT
ejpam-4416	1152	14	=	=	SYM
ejpam-4416	1152	15	3	3	NUM
ejpam-4416	1152	16	,	,	PUNCT
ejpam-4416	1152	17	e(c0i	e(c0i	NOUN
ejpam-4416	1152	18	)	)	PUNCT
ejpam-4416	1152	19	=	=	SYM
ejpam-4416	1152	20	3	3	NUM
ejpam-4416	1152	21	(	(	PUNCT
ejpam-4416	1152	22	1	1	NUM
ejpam-4416	1152	23	≤	≤	NUM
ejpam-4416	1152	24	i	i	PRON
ejpam-4416	1152	25	≤	≤	NOUN
ejpam-4416	1152	26	(	(	PUNCT
ejpam-4416	1152	27	n−	n−	NOUN
ejpam-4416	1152	28	1	1	NUM
ejpam-4416	1152	29	)	)	PUNCT
ejpam-4416	1152	30	)	)	PUNCT
ejpam-4416	1152	31	,	,	PUNCT
ejpam-4416	1152	32	e(vi	e(vi	X
ejpam-4416	1152	33	)	)	PUNCT
ejpam-4416	1152	34	=	=	SYM
ejpam-4416	1152	35	3	3	NUM
ejpam-4416	1152	36	(	(	PUNCT
ejpam-4416	1152	37	1	1	NUM
ejpam-4416	1152	38	≤	≤	NUM
ejpam-4416	1152	39	i	i	PRON
ejpam-4416	1152	40	≤	≤	NOUN
ejpam-4416	1152	41	(	(	PUNCT
ejpam-4416	1152	42	n−	n−	NOUN
ejpam-4416	1152	43	2	2	NUM
ejpam-4416	1152	44	)	)	PUNCT
ejpam-4416	1152	45	)	)	PUNCT
ejpam-4416	1152	46	,	,	PUNCT
ejpam-4416	1152	47	e(c(2i−1)(2i	e(c(2i−1)(2i	PROPN
ejpam-4416	1152	48	)	)	PUNCT
ejpam-4416	1152	49	)	)	PUNCT
ejpam-4416	1153	1	=	=	SYM
ejpam-4416	1153	2	3	3	NUM
ejpam-4416	1153	3	(	(	PUNCT
ejpam-4416	1153	4	1	1	NUM
ejpam-4416	1153	5	≤	≤	NUM
ejpam-4416	1153	6	i	i	PRON
ejpam-4416	1153	7	≤	≤	ADJ
ejpam-4416	1153	8	n−2	n−2	PROPN
ejpam-4416	1153	9	2	2	NUM
ejpam-4416	1153	10	)	)	PUNCT
ejpam-4416	1153	11	,	,	PUNCT
ejpam-4416	1153	12	e(v(n−1	e(v(n−1	PROPN
ejpam-4416	1153	13	)	)	PUNCT
ejpam-4416	1153	14	)	)	PUNCT
ejpam-4416	1154	1	=	=	SYM
ejpam-4416	1154	2	2	2	X
ejpam-4416	1154	3	.	.	X
ejpam-4416	1154	4	therefore	therefore	ADV
ejpam-4416	1154	5	,	,	PUNCT
ejpam-4416	1154	6	e(u	e(u	PROPN
ejpam-4416	1154	7	)	)	PUNCT
ejpam-4416	1154	8	is	be	AUX
ejpam-4416	1154	9	either	either	PRON
ejpam-4416	1154	10	2	2	NUM
ejpam-4416	1154	11	or	or	CCONJ
ejpam-4416	1154	12	3	3	NUM
ejpam-4416	1154	13	..	..	PUNCT
ejpam-4416	1154	14	illustration	illustration	NOUN
ejpam-4416	1154	15	3	3	X
ejpam-4416	1154	16	.	.	PUNCT
ejpam-4416	1155	1	consider	consider	VERB
ejpam-4416	1155	2	the	the	DET
ejpam-4416	1155	3	eccentricities	eccentricity	NOUN
ejpam-4416	1155	4	of	of	ADP
ejpam-4416	1155	5	the	the	DET
ejpam-4416	1155	6	vertices	vertex	NOUN
ejpam-4416	1155	7	of	of	ADP
ejpam-4416	1155	8	c(γc4	c(γc4	NOUN
ejpam-4416	1155	9	)	)	PUNCT
ejpam-4416	1155	10	and	and	CCONJ
ejpam-4416	1155	11	c(γc5	c(γc5	NOUN
ejpam-4416	1155	12	)	)	PUNCT
ejpam-4416	1155	13	in	in	ADP
ejpam-4416	1155	14	figure	figure	NOUN
ejpam-4416	1155	15	8	8	NUM
ejpam-4416	1155	16	.	.	PUNCT
ejpam-4416	1155	17	notice	notice	VERB
ejpam-4416	1155	18	that	that	SCONJ
ejpam-4416	1155	19	all	all	DET
ejpam-4416	1155	20	the	the	DET
ejpam-4416	1155	21	vertices	vertex	NOUN
ejpam-4416	1155	22	of	of	ADP
ejpam-4416	1155	23	c(γc4	c(γc4	NOUN
ejpam-4416	1155	24	)	)	PUNCT
ejpam-4416	1155	25	have	have	VERB
ejpam-4416	1155	26	eccentricities	eccentricity	NOUN
ejpam-4416	1155	27	3	3	NUM
ejpam-4416	1155	28	except	except	SCONJ
ejpam-4416	1155	29	the	the	DET
ejpam-4416	1155	30	vertex	vertex	NOUN
ejpam-4416	1155	31	v3	v3	PROPN
ejpam-4416	1155	32	which	which	PRON
ejpam-4416	1155	33	is	be	AUX
ejpam-4416	1155	34	2	2	NUM
ejpam-4416	1155	35	.	.	PUNCT
ejpam-4416	1156	1	on	on	ADP
ejpam-4416	1156	2	the	the	DET
ejpam-4416	1156	3	other	other	ADJ
ejpam-4416	1156	4	hand	hand	NOUN
ejpam-4416	1156	5	,	,	PUNCT
ejpam-4416	1156	6	all	all	DET
ejpam-4416	1156	7	the	the	DET
ejpam-4416	1156	8	vertices	vertex	NOUN
ejpam-4416	1156	9	of	of	ADP
ejpam-4416	1156	10	c(γc5	c(γc5	NOUN
ejpam-4416	1156	11	)	)	PUNCT
ejpam-4416	1156	12	have	have	VERB
ejpam-4416	1156	13	eccentricities	eccentricity	NOUN
ejpam-4416	1156	14	3	3	NUM
ejpam-4416	1156	15	.	.	PUNCT
ejpam-4416	1156	16	c(γc4	c(γc4	NOUN
ejpam-4416	1156	17	)	)	PUNCT
ejpam-4416	1156	18	:	:	PUNCT
ejpam-4416	1156	19	.........	.........	PUNCT
ejpam-4416	1156	20	.....................................................	.....................................................	PUNCT
ejpam-4416	1156	21	..	..	PUNCT
ejpam-4416	1156	22	.........	.........	PUNCT
ejpam-4416	1157	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1157	2	..	..	PUNCT
ejpam-4416	1157	3	.........	.........	PUNCT
ejpam-4416	1158	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1158	2	..	..	PUNCT
ejpam-4416	1158	3	.........	.........	PUNCT
ejpam-4416	1159	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1159	2	..	..	PUNCT
ejpam-4416	1159	3	.........	.........	PUNCT
ejpam-4416	1160	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1160	2	..	..	PUNCT
ejpam-4416	1160	3	.........	.........	PUNCT
ejpam-4416	1161	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1161	2	..	..	PUNCT
ejpam-4416	1161	3	.........	.........	PUNCT
ejpam-4416	1162	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1162	2	..	..	PUNCT
ejpam-4416	1162	3	.........	.........	PUNCT
ejpam-4416	1163	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1163	2	..	..	PUNCT
ejpam-4416	1163	3	.........	.........	PUNCT
ejpam-4416	1163	4	........	........	PUNCT
ejpam-4416	1163	5	........	........	PUNCT
ejpam-4416	1163	6	........	........	PUNCT
ejpam-4416	1163	7	........	........	PUNCT
ejpam-4416	1163	8	........	........	PUNCT
ejpam-4416	1164	1	....	....	PUNCT
ejpam-4416	1164	2	.........	.........	PUNCT
ejpam-4416	1164	3	........	........	PUNCT
ejpam-4416	1164	4	........	........	PUNCT
ejpam-4416	1164	5	........	........	PUNCT
ejpam-4416	1164	6	........	........	PUNCT
ejpam-4416	1164	7	........	........	PUNCT
ejpam-4416	1165	1	....	....	PUNCT
ejpam-4416	1165	2	............	............	PUNCT
ejpam-4416	1165	3	...........	...........	PUNCT
ejpam-4416	1165	4	...........	...........	PUNCT
ejpam-4416	1165	5	...........	...........	PUNCT
ejpam-4416	1165	6	...........	...........	PUNCT
ejpam-4416	1165	7	......	......	PUNCT
ejpam-4416	1165	8	............	............	PUNCT
ejpam-4416	1165	9	...........	...........	PUNCT
ejpam-4416	1165	10	...........	...........	PUNCT
ejpam-4416	1165	11	...........	...........	PUNCT
ejpam-4416	1165	12	...........	...........	PUNCT
ejpam-4416	1165	13	......	......	PUNCT
ejpam-4416	1165	14	................................................................................................	................................................................................................	PUNCT
ejpam-4416	1165	15	................................................................................................	................................................................................................	PUNCT
ejpam-4416	1165	16	..............................................................	..............................................................	PUNCT
ejpam-4416	1165	17	..............................................................	..............................................................	PUNCT
ejpam-4416	1165	18	.........	.........	PUNCT
ejpam-4416	1166	1	.........	.........	PUNCT
ejpam-4416	1166	2	.........	.........	PUNCT
ejpam-4416	1167	1	.........	.........	PUNCT
ejpam-4416	1167	2	.........	.........	PUNCT
ejpam-4416	1168	1	.........	.........	PUNCT
ejpam-4416	1168	2	.........	.........	PUNCT
ejpam-4416	1169	1	.........	.........	PUNCT
ejpam-4416	1169	2	.........	.........	PUNCT
ejpam-4416	1170	1	.........	.........	PUNCT
ejpam-4416	1170	2	.........	.........	PUNCT
ejpam-4416	1171	1	.........	.........	PUNCT
ejpam-4416	1171	2	.........	.........	PUNCT
ejpam-4416	1172	1	.........	.........	PUNCT
ejpam-4416	1172	2	.........	.........	PUNCT
ejpam-4416	1173	1	.........	.........	PUNCT
ejpam-4416	1173	2	.........	.........	PUNCT
ejpam-4416	1174	1	.........	.........	PUNCT
ejpam-4416	1174	2	.........	.........	PUNCT
ejpam-4416	1175	1	.........	.........	PUNCT
ejpam-4416	1175	2	.........	.........	PUNCT
ejpam-4416	1176	1	.........	.........	PUNCT
ejpam-4416	1176	2	.........	.........	PUNCT
ejpam-4416	1177	1	.........	.........	PUNCT
ejpam-4416	1177	2	.........	.........	PUNCT
ejpam-4416	1178	1	.........	.........	PUNCT
ejpam-4416	1178	2	.........	.........	PUNCT
ejpam-4416	1179	1	.........	.........	PUNCT
ejpam-4416	1179	2	.........	.........	PUNCT
ejpam-4416	1180	1	..	..	PUNCT
ejpam-4416	1180	2	.........	.........	PUNCT
ejpam-4416	1181	1	.........	.........	PUNCT
ejpam-4416	1181	2	.........	.........	PUNCT
ejpam-4416	1182	1	.........	.........	PUNCT
ejpam-4416	1182	2	.........	.........	PUNCT
ejpam-4416	1183	1	.........	.........	PUNCT
ejpam-4416	1183	2	.........	.........	PUNCT
ejpam-4416	1184	1	.........	.........	PUNCT
ejpam-4416	1184	2	.........	.........	PUNCT
ejpam-4416	1185	1	.........	.........	PUNCT
ejpam-4416	1185	2	.........	.........	PUNCT
ejpam-4416	1186	1	.........	.........	PUNCT
ejpam-4416	1186	2	.........	.........	PUNCT
ejpam-4416	1187	1	.........	.........	PUNCT
ejpam-4416	1187	2	.........	.........	PUNCT
ejpam-4416	1188	1	.........	.........	PUNCT
ejpam-4416	1188	2	.........	.........	PUNCT
ejpam-4416	1189	1	.........	.........	PUNCT
ejpam-4416	1189	2	.........	.........	PUNCT
ejpam-4416	1190	1	.........	.........	PUNCT
ejpam-4416	1190	2	.........	.........	PUNCT
ejpam-4416	1191	1	.........	.........	PUNCT
ejpam-4416	1191	2	.........	.........	PUNCT
ejpam-4416	1192	1	.........	.........	PUNCT
ejpam-4416	1192	2	.........	.........	PUNCT
ejpam-4416	1193	1	.........	.........	PUNCT
ejpam-4416	1193	2	.........	.........	PUNCT
ejpam-4416	1194	1	.........	.........	PUNCT
ejpam-4416	1194	2	.........	.........	PUNCT
ejpam-4416	1195	1	..	..	PUNCT
ejpam-4416	1195	2	2	2	NUM
ejpam-4416	1195	3	3	3	NUM
ejpam-4416	1195	4	33	33	NUM
ejpam-4416	1195	5	3	3	NUM
ejpam-4416	1195	6	3	3	NUM
ejpam-4416	1195	7	3	3	NUM
ejpam-4416	1195	8	3	3	NUM
ejpam-4416	1195	9	v3	v3	PROPN
ejpam-4416	1195	10	c03	c03	PROPN
ejpam-4416	1195	11	v0	v0	PROPN
ejpam-4416	1195	12	c01	c01	PROPN
ejpam-4416	1195	13	v1c12v2	v1c12v2	PROPN
ejpam-4416	1195	14	c02	c02	PROPN
ejpam-4416	1195	15	c(γc5	c(γc5	PROPN
ejpam-4416	1195	16	)	)	PUNCT
ejpam-4416	1195	17	:	:	PUNCT
ejpam-4416	1195	18	v0	v0	PROPN
ejpam-4416	1195	19	v4	v4	PROPN
ejpam-4416	1195	20	v3	v3	PROPN
ejpam-4416	1195	21	v2	v2	PROPN
ejpam-4416	1195	22	v1	v1	PROPN
ejpam-4416	1195	23	c04	c04	NOUN
ejpam-4416	1195	24	c03	c03	PROPN
ejpam-4416	1195	25	c02	c02	PROPN
ejpam-4416	1195	26	c01	c01	PROPN
ejpam-4416	1195	27	c34	c34	NOUN
ejpam-4416	1195	28	c12	c12	PROPN
ejpam-4416	1195	29	3	3	NUM
ejpam-4416	1195	30	3	3	NUM
ejpam-4416	1195	31	33	33	NUM
ejpam-4416	1195	32	3	3	NUM
ejpam-4416	1195	33	3	3	NUM
ejpam-4416	1195	34	3	3	NUM
ejpam-4416	1195	35	33	33	NUM
ejpam-4416	1195	36	3	3	NUM
ejpam-4416	1195	37	3	3	NUM
ejpam-4416	1195	38	.........	.........	PUNCT
ejpam-4416	1195	39	.....................................................	.....................................................	PUNCT
ejpam-4416	1195	40	..	..	PUNCT
ejpam-4416	1195	41	.........	.........	PUNCT
ejpam-4416	1195	42	.....................................................	.....................................................	PUNCT
ejpam-4416	1195	43	..	..	PUNCT
ejpam-4416	1195	44	.........	.........	PUNCT
ejpam-4416	1195	45	.....................................................	.....................................................	PUNCT
ejpam-4416	1195	46	...........	...........	PUNCT
ejpam-4416	1195	47	.....................................................	.....................................................	PUNCT
ejpam-4416	1195	48	..	..	PUNCT
ejpam-4416	1195	49	.........	.........	PUNCT
ejpam-4416	1195	50	.....................................................	.....................................................	PUNCT
ejpam-4416	1195	51	..	..	PUNCT
ejpam-4416	1195	52	.........	.........	PUNCT
ejpam-4416	1196	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1196	2	..	..	PUNCT
ejpam-4416	1196	3	.........	.........	PUNCT
ejpam-4416	1197	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1197	2	...........	...........	PUNCT
ejpam-4416	1197	3	.....................................................	.....................................................	PUNCT
ejpam-4416	1197	4	..	..	PUNCT
ejpam-4416	1197	5	.........	.........	PUNCT
ejpam-4416	1198	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1198	2	..	..	PUNCT
ejpam-4416	1198	3	.........	.........	PUNCT
ejpam-4416	1198	4	.....................................................	.....................................................	PUNCT
ejpam-4416	1198	5	...........	...........	PUNCT
ejpam-4416	1198	6	.....................................................	.....................................................	PUNCT
ejpam-4416	1198	7	..	..	PUNCT
ejpam-4416	1198	8	..........................................................................	..........................................................................	PUNCT
ejpam-4416	1198	9	.........	.........	PUNCT
ejpam-4416	1199	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1199	2	..	..	PUNCT
ejpam-4416	1199	3	..........................................................................	..........................................................................	PUNCT
ejpam-4416	1199	4	.........	.........	PUNCT
ejpam-4416	1200	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1200	2	..	..	PUNCT
ejpam-4416	1200	3	...........	...........	PUNCT
ejpam-4416	1200	4	..........	..........	PUNCT
ejpam-4416	1201	1	..........	..........	PUNCT
ejpam-4416	1201	2	..........	..........	PUNCT
ejpam-4416	1202	1	..........	..........	PUNCT
ejpam-4416	1202	2	........	........	PUNCT
ejpam-4416	1202	3	.........	.........	PUNCT
ejpam-4416	1203	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1203	2	..	..	PUNCT
ejpam-4416	1203	3	...........	...........	PUNCT
ejpam-4416	1203	4	..........	..........	PUNCT
ejpam-4416	1204	1	..........	..........	PUNCT
ejpam-4416	1204	2	..........	..........	PUNCT
ejpam-4416	1205	1	..........	..........	PUNCT
ejpam-4416	1205	2	........	........	PUNCT
ejpam-4416	1205	3	.........	.........	PUNCT
ejpam-4416	1205	4	.....................................................	.....................................................	PUNCT
ejpam-4416	1205	5	..	..	PUNCT
ejpam-4416	1205	6	..........................................................................................	..........................................................................................	PUNCT
ejpam-4416	1206	1	.........	.........	PUNCT
ejpam-4416	1206	2	.....................................................	.....................................................	PUNCT
ejpam-4416	1206	3	..	..	PUNCT
ejpam-4416	1206	4	..........................................................................................	..........................................................................................	PUNCT
ejpam-4416	1207	1	.........	.........	PUNCT
ejpam-4416	1207	2	.....................................................	.....................................................	PUNCT
ejpam-4416	1207	3	..	..	PUNCT
ejpam-4416	1207	4	.........	.........	PUNCT
ejpam-4416	1208	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1208	2	..	..	PUNCT
ejpam-4416	1208	3	......................	......................	PUNCT
ejpam-4416	1208	4	.....................	.....................	PUNCT
ejpam-4416	1209	1	.....................	.....................	PUNCT
ejpam-4416	1209	2	..........	..........	PUNCT
ejpam-4416	1210	1	.........	.........	PUNCT
ejpam-4416	1210	2	.....................................................	.....................................................	PUNCT
ejpam-4416	1211	1	..	..	PUNCT
ejpam-4416	1211	2	......................	......................	PUNCT
ejpam-4416	1211	3	.....................	.....................	PUNCT
ejpam-4416	1212	1	.....................	.....................	PUNCT
ejpam-4416	1212	2	..........	..........	PUNCT
ejpam-4416	1213	1	.........	.........	PUNCT
ejpam-4416	1213	2	.....................................................	.....................................................	PUNCT
ejpam-4416	1213	3	..	..	PUNCT
ejpam-4416	1213	4	...........................................................	...........................................................	PUNCT
ejpam-4416	1214	1	.........	.........	PUNCT
ejpam-4416	1214	2	.....................................................	.....................................................	PUNCT
ejpam-4416	1214	3	..	..	PUNCT
ejpam-4416	1214	4	...........................................................	...........................................................	PUNCT
ejpam-4416	1215	1	.........	.........	PUNCT
ejpam-4416	1215	2	.....................................................	.....................................................	PUNCT
ejpam-4416	1215	3	..	..	PUNCT
ejpam-4416	1216	1	..........	..........	PUNCT
ejpam-4416	1216	2	.........	.........	PUNCT
ejpam-4416	1217	1	.........	.........	PUNCT
ejpam-4416	1217	2	.........	.........	PUNCT
ejpam-4416	1218	1	.........	.........	PUNCT
ejpam-4416	1218	2	.........	.........	PUNCT
ejpam-4416	1219	1	.........	.........	PUNCT
ejpam-4416	1219	2	.........	.........	PUNCT
ejpam-4416	1219	3	.........	.........	PUNCT
ejpam-4416	1219	4	........	........	PUNCT
ejpam-4416	1219	5	.........	.........	PUNCT
ejpam-4416	1220	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1220	2	..	..	PUNCT
ejpam-4416	1221	1	..........	..........	PUNCT
ejpam-4416	1221	2	.........	.........	PUNCT
ejpam-4416	1222	1	.........	.........	PUNCT
ejpam-4416	1222	2	.........	.........	PUNCT
ejpam-4416	1223	1	.........	.........	PUNCT
ejpam-4416	1223	2	.........	.........	PUNCT
ejpam-4416	1224	1	.........	.........	PUNCT
ejpam-4416	1224	2	.........	.........	PUNCT
ejpam-4416	1224	3	.........	.........	PUNCT
ejpam-4416	1224	4	........	........	PUNCT
ejpam-4416	1224	5	.........	.........	PUNCT
ejpam-4416	1225	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1225	2	..	..	PUNCT
ejpam-4416	1225	3	.........	.........	PUNCT
ejpam-4416	1226	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1226	2	..	..	PUNCT
ejpam-4416	1226	3	................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1226	4	..................	..................	PUNCT
ejpam-4416	1227	1	..................	..................	PUNCT
ejpam-4416	1227	2	..................	..................	PUNCT
ejpam-4416	1228	1	..................	..................	PUNCT
ejpam-4416	1228	2	..................	..................	PUNCT
ejpam-4416	1229	1	..................	..................	PUNCT
ejpam-4416	1229	2	..................	..................	PUNCT
ejpam-4416	1230	1	..................	..................	PUNCT
ejpam-4416	1230	2	..................	..................	PUNCT
ejpam-4416	1231	1	..................	..................	PUNCT
ejpam-4416	1231	2	..................	..................	PUNCT
ejpam-4416	1231	3	..................	..................	PUNCT
ejpam-4416	1231	4	..................	..................	PUNCT
ejpam-4416	1232	1	.................	.................	PUNCT
ejpam-4416	1232	2	figure	figure	NOUN
ejpam-4416	1232	3	8	8	NUM
ejpam-4416	1232	4	:	:	PUNCT
ejpam-4416	1232	5	the	the	DET
ejpam-4416	1232	6	central	central	ADJ
ejpam-4416	1232	7	graphs	graph	NOUN
ejpam-4416	1232	8	of	of	ADP
ejpam-4416	1232	9	c(γc4	c(γc4	NOUN
ejpam-4416	1232	10	)	)	PUNCT
ejpam-4416	1232	11	and	and	CCONJ
ejpam-4416	1232	12	γc5	γc5	PROPN
ejpam-4416	1232	13	.	.	PUNCT
ejpam-4416	1233	1	the	the	DET
ejpam-4416	1233	2	radius	radius	NOUN
ejpam-4416	1233	3	and	and	CCONJ
ejpam-4416	1233	4	diameter	diameter	NOUN
ejpam-4416	1233	5	of	of	ADP
ejpam-4416	1233	6	c(γcn	c(γcn	PROPN
ejpam-4416	1233	7	)	)	PUNCT
ejpam-4416	1233	8	will	will	AUX
ejpam-4416	1233	9	be	be	AUX
ejpam-4416	1233	10	discussed	discuss	VERB
ejpam-4416	1233	11	in	in	ADP
ejpam-4416	1233	12	the	the	DET
ejpam-4416	1233	13	next	next	ADJ
ejpam-4416	1233	14	proposition	proposition	NOUN
ejpam-4416	1233	15	.	.	PUNCT
ejpam-4416	1234	1	proposition	proposition	NOUN
ejpam-4416	1234	2	5	5	NUM
ejpam-4416	1234	3	.	.	PUNCT
ejpam-4416	1235	1	let	let	AUX
ejpam-4416	1235	2	c(γcn	c(γcn	PROPN
ejpam-4416	1235	3	)	)	PUNCT
ejpam-4416	1235	4	be	be	VERB
ejpam-4416	1235	5	the	the	DET
ejpam-4416	1235	6	central	central	ADJ
ejpam-4416	1235	7	graph	graph	NOUN
ejpam-4416	1235	8	of	of	ADP
ejpam-4416	1235	9	γcn	γcn	NOUN
ejpam-4416	1235	10	for	for	ADP
ejpam-4416	1235	11	any	any	DET
ejpam-4416	1235	12	integer	integer	NOUN
ejpam-4416	1235	13	n	n	PRON
ejpam-4416	1235	14	≥	≥	NOUN
ejpam-4416	1235	15	3	3	NUM
ejpam-4416	1235	16	.	.	PUNCT
ejpam-4416	1235	17	i.	i.	PROPN
ejpam-4416	1235	18	if	if	SCONJ
ejpam-4416	1235	19	n	n	PROPN
ejpam-4416	1235	20	is	be	AUX
ejpam-4416	1235	21	odd	odd	ADJ
ejpam-4416	1235	22	,	,	PUNCT
ejpam-4416	1235	23	then	then	ADV
ejpam-4416	1235	24	rad(c(γcn	rad(c(γcn	PROPN
ejpam-4416	1235	25	)	)	PUNCT
ejpam-4416	1235	26	)	)	PUNCT
ejpam-4416	1236	1	=	=	SYM
ejpam-4416	1236	2	diam(c(γcn	diam(c(γcn	PROPN
ejpam-4416	1236	3	)	)	PUNCT
ejpam-4416	1236	4	)	)	PUNCT
ejpam-4416	1236	5	.	.	PUNCT
ejpam-4416	1237	1	ii	ii	PROPN
ejpam-4416	1237	2	.	.	PUNCT
ejpam-4416	1238	1	if	if	SCONJ
ejpam-4416	1238	2	n	n	PRON
ejpam-4416	1238	3	is	be	AUX
ejpam-4416	1238	4	even	even	ADV
ejpam-4416	1238	5	,	,	PUNCT
ejpam-4416	1238	6	then	then	ADV
ejpam-4416	1238	7	rad(c(γcn	rad(c(γcn	PROPN
ejpam-4416	1238	8	)	)	PUNCT
ejpam-4416	1238	9	)	)	PUNCT
ejpam-4416	1239	1	=	=	SYM
ejpam-4416	1239	2	2	2	NUM
ejpam-4416	1239	3	and	and	CCONJ
ejpam-4416	1239	4	diam(c(γcn	diam(c(γcn	PROPN
ejpam-4416	1239	5	)	)	PUNCT
ejpam-4416	1239	6	)	)	PUNCT
ejpam-4416	1240	1	=	=	SYM
ejpam-4416	1240	2	3	3	X
ejpam-4416	1240	3	.	.	X
ejpam-4416	1240	4	proof	proof	NOUN
ejpam-4416	1240	5	.	.	PUNCT
ejpam-4416	1241	1	let	let	VERB
ejpam-4416	1241	2	c(γcn	c(γcn	PROPN
ejpam-4416	1241	3	)	)	PUNCT
ejpam-4416	1241	4	be	be	VERB
ejpam-4416	1241	5	the	the	DET
ejpam-4416	1241	6	central	central	ADJ
ejpam-4416	1241	7	graph	graph	NOUN
ejpam-4416	1241	8	of	of	ADP
ejpam-4416	1241	9	γcn	γcn	NOUN
ejpam-4416	1241	10	for	for	ADP
ejpam-4416	1241	11	any	any	DET
ejpam-4416	1241	12	integer	integer	NOUN
ejpam-4416	1241	13	n	n	PRON
ejpam-4416	1241	14	≥	≥	NOUN
ejpam-4416	1241	15	3	3	NUM
ejpam-4416	1241	16	.	.	PUNCT
ejpam-4416	1242	1	(	(	PUNCT
ejpam-4416	1242	2	i	i	NOUN
ejpam-4416	1242	3	)	)	PUNCT
ejpam-4416	1242	4	.	.	PUNCT
ejpam-4416	1243	1	by	by	ADP
ejpam-4416	1243	2	proposition	proposition	NOUN
ejpam-4416	1243	3	4-(i	4-(i	NUM
ejpam-4416	1243	4	)	)	PUNCT
ejpam-4416	1243	5	,	,	PUNCT
ejpam-4416	1243	6	for	for	ADP
ejpam-4416	1243	7	any	any	DET
ejpam-4416	1243	8	u	u	PROPN
ejpam-4416	1243	9	∈	∈	PROPN
ejpam-4416	1243	10	v	v	NOUN
ejpam-4416	1243	11	(	(	PUNCT
ejpam-4416	1243	12	c(γcn	c(γcn	PROPN
ejpam-4416	1243	13	)	)	PUNCT
ejpam-4416	1243	14	)	)	PUNCT
ejpam-4416	1243	15	,	,	PUNCT
ejpam-4416	1243	16	e(u	e(u	PROPN
ejpam-4416	1243	17	)	)	PUNCT
ejpam-4416	1243	18	=	=	PUNCT
ejpam-4416	1244	1	3	3	X
ejpam-4416	1244	2	.	.	X
ejpam-4416	1244	3	hence	hence	ADV
ejpam-4416	1244	4	,	,	PUNCT
ejpam-4416	1244	5	rad(c(γcn	rad(c(γcn	PROPN
ejpam-4416	1244	6	)	)	PUNCT
ejpam-4416	1244	7	)	)	PUNCT
ejpam-4416	1245	1	=	=	SYM
ejpam-4416	1245	2	3	3	NUM
ejpam-4416	1245	3	=	=	SYM
ejpam-4416	1245	4	diam(c(γcn	diam(c(γcn	PROPN
ejpam-4416	1245	5	)	)	PUNCT
ejpam-4416	1245	6	)	)	PUNCT
ejpam-4416	1245	7	.	.	PUNCT
ejpam-4416	1246	1	(	(	PUNCT
ejpam-4416	1246	2	ii	ii	NOUN
ejpam-4416	1246	3	)	)	PUNCT
ejpam-4416	1246	4	.	.	PUNCT
ejpam-4416	1247	1	it	it	PRON
ejpam-4416	1247	2	is	be	AUX
ejpam-4416	1247	3	straightforward	straightforward	ADJ
ejpam-4416	1247	4	to	to	PART
ejpam-4416	1247	5	prove	prove	VERB
ejpam-4416	1247	6	case	case	NOUN
ejpam-4416	1247	7	ii	ii	NOUN
ejpam-4416	1247	8	by	by	ADP
ejpam-4416	1247	9	using	use	VERB
ejpam-4416	1247	10	proposition	proposition	NOUN
ejpam-4416	1247	11	4-(ii	4-(ii	NUM
ejpam-4416	1247	12	)	)	PUNCT
ejpam-4416	1247	13	since	since	SCONJ
ejpam-4416	1247	14	min	min	PROPN
ejpam-4416	1247	15	{	{	PUNCT
ejpam-4416	1247	16	e(u	e(u	PROPN
ejpam-4416	1247	17	)	)	PUNCT
ejpam-4416	1247	18	:	:	PUNCT
ejpam-4416	1247	19	∃u	∃u	PROPN
ejpam-4416	1247	20	∈	∈	PROPN
ejpam-4416	1247	21	v	v	NOUN
ejpam-4416	1247	22	(	(	PUNCT
ejpam-4416	1247	23	c(γcn	c(γcn	PROPN
ejpam-4416	1247	24	)	)	PUNCT
ejpam-4416	1247	25	)	)	PUNCT
ejpam-4416	1247	26	}	}	PUNCT
ejpam-4416	1247	27	=	=	SYM
ejpam-4416	1247	28	2	2	NUM
ejpam-4416	1247	29	and	and	CCONJ
ejpam-4416	1247	30	max	max	PROPN
ejpam-4416	1247	31	{	{	PUNCT
ejpam-4416	1247	32	e(u	e(u	PROPN
ejpam-4416	1247	33	)	)	PUNCT
ejpam-4416	1247	34	:	:	PUNCT
ejpam-4416	1247	35	∃u	∃u	PROPN
ejpam-4416	1247	36	∈	∈	PROPN
ejpam-4416	1247	37	v	v	NOUN
ejpam-4416	1247	38	(	(	PUNCT
ejpam-4416	1247	39	c(γcn	c(γcn	PROPN
ejpam-4416	1247	40	)	)	PUNCT
ejpam-4416	1247	41	)	)	PUNCT
ejpam-4416	1247	42	}	}	PUNCT
ejpam-4416	1247	43	=	=	PUNCT
ejpam-4416	1247	44	3	3	NUM
ejpam-4416	1247	45	}	}	PUNCT
ejpam-4416	1247	46	.	.	PUNCT
ejpam-4416	1248	1	hence	hence	ADV
ejpam-4416	1248	2	,	,	PUNCT
ejpam-4416	1248	3	rad(c(γcn	rad(c(γcn	PROPN
ejpam-4416	1248	4	)	)	PUNCT
ejpam-4416	1248	5	)	)	PUNCT
ejpam-4416	1249	1	=	=	SYM
ejpam-4416	1249	2	2	2	NUM
ejpam-4416	1249	3	and	and	CCONJ
ejpam-4416	1249	4	diam(c(γcn	diam(c(γcn	PROPN
ejpam-4416	1249	5	)	)	PUNCT
ejpam-4416	1249	6	)	)	PUNCT
ejpam-4416	1250	1	=	=	SYM
ejpam-4416	1250	2	3	3	X
ejpam-4416	1250	3	.	.	X
ejpam-4416	1250	4	illustration	illustration	NOUN
ejpam-4416	1250	5	4	4	NUM
ejpam-4416	1250	6	.	.	PUNCT
ejpam-4416	1251	1	in	in	ADP
ejpam-4416	1251	2	figure	figure	NOUN
ejpam-4416	1251	3	8	8	NUM
ejpam-4416	1251	4	,	,	PUNCT
ejpam-4416	1251	5	rad(c(γc5	rad(c(γc5	NOUN
ejpam-4416	1251	6	)	)	PUNCT
ejpam-4416	1251	7	)	)	PUNCT
ejpam-4416	1252	1	=	=	SYM
ejpam-4416	1252	2	diam(c(γc5	diam(c(γc5	VERB
ejpam-4416	1252	3	)	)	PUNCT
ejpam-4416	1252	4	)	)	PUNCT
ejpam-4416	1253	1	=	=	SYM
ejpam-4416	1253	2	3	3	NUM
ejpam-4416	1253	3	and	and	CCONJ
ejpam-4416	1253	4	rad(c(γc4	rad(c(γc4	NUM
ejpam-4416	1253	5	)	)	PUNCT
ejpam-4416	1253	6	)	)	PUNCT
ejpam-4416	1254	1	=	=	SYM
ejpam-4416	1254	2	2	2	NUM
ejpam-4416	1254	3	and	and	CCONJ
ejpam-4416	1254	4	diam(c(γc4	diam(c(γc4	NOUN
ejpam-4416	1254	5	)	)	PUNCT
ejpam-4416	1254	6	)	)	PUNCT
ejpam-4416	1255	1	=	=	SYM
ejpam-4416	1255	2	3	3	X
ejpam-4416	1255	3	.	.	X
ejpam-4416	1255	4	in	in	ADP
ejpam-4416	1255	5	the	the	DET
ejpam-4416	1255	6	next	next	ADJ
ejpam-4416	1255	7	two	two	NUM
ejpam-4416	1255	8	propositions	proposition	NOUN
ejpam-4416	1255	9	below	below	ADV
ejpam-4416	1255	10	,	,	PUNCT
ejpam-4416	1255	11	the	the	DET
ejpam-4416	1255	12	center	center	NOUN
ejpam-4416	1255	13	of	of	ADP
ejpam-4416	1255	14	c(γcn	c(γcn	PROPN
ejpam-4416	1255	15	)	)	PUNCT
ejpam-4416	1255	16	is	be	AUX
ejpam-4416	1255	17	given	give	VERB
ejpam-4416	1255	18	.	.	PUNCT
ejpam-4416	1256	1	proposition	proposition	NOUN
ejpam-4416	1256	2	6	6	NUM
ejpam-4416	1256	3	.	.	PUNCT
ejpam-4416	1257	1	for	for	ADP
ejpam-4416	1257	2	any	any	DET
ejpam-4416	1257	3	even	even	ADV
ejpam-4416	1257	4	integer	integer	NOUN
ejpam-4416	1257	5	n	n	PRON
ejpam-4416	1257	6	≥	≥	NOUN
ejpam-4416	1257	7	4	4	NUM
ejpam-4416	1257	8	,	,	PUNCT
ejpam-4416	1257	9	let	let	VERB
ejpam-4416	1257	10	c(γcn	c(γcn	PROPN
ejpam-4416	1257	11	)	)	PUNCT
ejpam-4416	1257	12	be	be	VERB
ejpam-4416	1257	13	the	the	DET
ejpam-4416	1257	14	central	central	ADJ
ejpam-4416	1257	15	graph	graph	NOUN
ejpam-4416	1257	16	of	of	ADP
ejpam-4416	1257	17	γcn	γcn	PROPN
ejpam-4416	1257	18	.	.	PUNCT
ejpam-4416	1258	1	the	the	DET
ejpam-4416	1258	2	center	center	NOUN
ejpam-4416	1258	3	of	of	ADP
ejpam-4416	1258	4	c(γcn	c(γcn	PROPN
ejpam-4416	1258	5	)	)	PUNCT
ejpam-4416	1258	6	denoted	denote	VERB
ejpam-4416	1258	7	by	by	ADP
ejpam-4416	1258	8	cen(c(γcn	cen(c(γcn	NOUN
ejpam-4416	1258	9	)	)	PUNCT
ejpam-4416	1258	10	)	)	PUNCT
ejpam-4416	1258	11	is	be	AUX
ejpam-4416	1258	12	a	a	DET
ejpam-4416	1258	13	complete	complete	ADJ
ejpam-4416	1258	14	graph	graph	NOUN
ejpam-4416	1258	15	k1	k1	NOUN
ejpam-4416	1258	16	.	.	PUNCT
ejpam-4416	1259	1	c.	c.	PROPN
ejpam-4416	1259	2	alib	alib	PROPN
ejpam-4416	1259	3	,	,	PUNCT
ejpam-4416	1259	4	d.	d.	PROPN
ejpam-4416	1259	5	magpantay	magpantay	PROPN
ejpam-4416	1259	6	/	/	SYM
ejpam-4416	1259	7	eur	eur	PROPN
ejpam-4416	1259	8	.	.	PUNCT
ejpam-4416	1260	1	j.	j.	PROPN
ejpam-4416	1260	2	pure	pure	PROPN
ejpam-4416	1260	3	appl	appl	PROPN
ejpam-4416	1260	4	.	.	PROPN
ejpam-4416	1260	5	math	math	PROPN
ejpam-4416	1260	6	,	,	PUNCT
ejpam-4416	1260	7	15	15	NUM
ejpam-4416	1260	8	(	(	PUNCT
ejpam-4416	1260	9	3	3	NUM
ejpam-4416	1260	10	)	)	PUNCT
ejpam-4416	1260	11	(	(	PUNCT
ejpam-4416	1260	12	2022	2022	NUM
ejpam-4416	1260	13	)	)	PUNCT
ejpam-4416	1260	14	,	,	PUNCT
ejpam-4416	1260	15	1098	1098	NUM
ejpam-4416	1260	16	-	-	SYM
ejpam-4416	1260	17	1112	1112	NUM
ejpam-4416	1260	18	1109	1109	NUM
ejpam-4416	1260	19	proof	proof	NOUN
ejpam-4416	1260	20	.	.	PUNCT
ejpam-4416	1261	1	by	by	ADP
ejpam-4416	1261	2	proposition	proposition	NOUN
ejpam-4416	1261	3	5-(ii	5-(ii	NUM
ejpam-4416	1261	4	)	)	PUNCT
ejpam-4416	1261	5	,	,	PUNCT
ejpam-4416	1261	6	rad(c(γcn	rad(c(γcn	PROPN
ejpam-4416	1261	7	)	)	PUNCT
ejpam-4416	1261	8	)	)	PUNCT
ejpam-4416	1261	9	=	=	SYM
ejpam-4416	1262	1	2	2	X
ejpam-4416	1262	2	.	.	PUNCT
ejpam-4416	1262	3	and	and	CCONJ
ejpam-4416	1262	4	,	,	PUNCT
ejpam-4416	1262	5	by	by	ADP
ejpam-4416	1262	6	proposition	proposition	NOUN
ejpam-4416	1262	7	4-(ii	4-(ii	NUM
ejpam-4416	1262	8	)	)	PUNCT
ejpam-4416	1262	9	,	,	PUNCT
ejpam-4416	1262	10	the	the	DET
ejpam-4416	1262	11	only	only	ADJ
ejpam-4416	1262	12	vertex	vertex	NOUN
ejpam-4416	1262	13	of	of	ADP
ejpam-4416	1262	14	(	(	PUNCT
ejpam-4416	1262	15	c(γcn	c(γcn	PROPN
ejpam-4416	1262	16	)	)	PUNCT
ejpam-4416	1262	17	)	)	PUNCT
ejpam-4416	1262	18	that	that	PRON
ejpam-4416	1262	19	has	have	VERB
ejpam-4416	1262	20	of	of	ADP
ejpam-4416	1262	21	eccentricity	eccentricity	NOUN
ejpam-4416	1262	22	2	2	NUM
ejpam-4416	1262	23	is	be	AUX
ejpam-4416	1262	24	the	the	DET
ejpam-4416	1262	25	vertex	vertex	NOUN
ejpam-4416	1262	26	vn−1	vn−1	ADJ
ejpam-4416	1262	27	.	.	PUNCT
ejpam-4416	1263	1	hence	hence	ADV
ejpam-4416	1263	2	,	,	PUNCT
ejpam-4416	1263	3	vn−1	vn−1	PROPN
ejpam-4416	1263	4	is	be	AUX
ejpam-4416	1263	5	the	the	DET
ejpam-4416	1263	6	only	only	ADJ
ejpam-4416	1263	7	central	central	ADJ
ejpam-4416	1263	8	vertex	vertex	NOUN
ejpam-4416	1263	9	of	of	ADP
ejpam-4416	1263	10	c(γcn	c(γcn	PROPN
ejpam-4416	1263	11	)	)	PUNCT
ejpam-4416	1263	12	.	.	PUNCT
ejpam-4416	1264	1	thus	thus	ADV
ejpam-4416	1264	2	,	,	PUNCT
ejpam-4416	1264	3	cen(c(γcn	cen(c(γcn	NOUN
ejpam-4416	1264	4	)	)	PUNCT
ejpam-4416	1264	5	)	)	PUNCT
ejpam-4416	1264	6	is	be	AUX
ejpam-4416	1264	7	k1	k1	NOUN
ejpam-4416	1264	8	(	(	PUNCT
ejpam-4416	1264	9	consists	consist	VERB
ejpam-4416	1264	10	of	of	ADP
ejpam-4416	1264	11	a	a	DET
ejpam-4416	1264	12	single	single	ADJ
ejpam-4416	1264	13	vertex	vertex	NOUN
ejpam-4416	1264	14	vn−1	vn−1	ADJ
ejpam-4416	1264	15	)	)	PUNCT
ejpam-4416	1264	16	.	.	PUNCT
ejpam-4416	1265	1	illustration	illustration	NOUN
ejpam-4416	1265	2	5	5	NUM
ejpam-4416	1265	3	.	.	PUNCT
ejpam-4416	1266	1	let	let	AUX
ejpam-4416	1266	2	c(γc8	c(γc8	VERB
ejpam-4416	1266	3	)	)	PUNCT
ejpam-4416	1266	4	be	be	AUX
ejpam-4416	1266	5	the	the	DET
ejpam-4416	1266	6	central	central	ADJ
ejpam-4416	1266	7	graph	graph	NOUN
ejpam-4416	1266	8	of	of	ADP
ejpam-4416	1266	9	γc8	γc8	NOUN
ejpam-4416	1266	10	given	give	VERB
ejpam-4416	1266	11	below	below	ADV
ejpam-4416	1266	12	.	.	PUNCT
ejpam-4416	1267	1	................................................	................................................	PUNCT
ejpam-4416	1267	2	................................................	................................................	PUNCT
ejpam-4416	1268	1	................................................	................................................	PUNCT
ejpam-4416	1268	2	.........	.........	PUNCT
ejpam-4416	1268	3	.....................................................	.....................................................	PUNCT
ejpam-4416	1268	4	..	..	PUNCT
ejpam-4416	1268	5	.........	.........	PUNCT
ejpam-4416	1269	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1269	2	..	..	PUNCT
ejpam-4416	1269	3	.........	.........	PUNCT
ejpam-4416	1270	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1270	2	..	..	PUNCT
ejpam-4416	1270	3	.........	.........	PUNCT
ejpam-4416	1271	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1271	2	..	..	PUNCT
ejpam-4416	1271	3	.........	.........	PUNCT
ejpam-4416	1272	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1272	2	..	..	PUNCT
ejpam-4416	1272	3	.........	.........	PUNCT
ejpam-4416	1273	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1273	2	..	..	PUNCT
ejpam-4416	1273	3	.........	.........	PUNCT
ejpam-4416	1274	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1274	2	..	..	PUNCT
ejpam-4416	1274	3	.........	.........	PUNCT
ejpam-4416	1275	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1275	2	..	..	PUNCT
ejpam-4416	1276	1	..........	..........	PUNCT
ejpam-4416	1276	2	.........	.........	PUNCT
ejpam-4416	1277	1	.........	.........	PUNCT
ejpam-4416	1277	2	.........	.........	PUNCT
ejpam-4416	1278	1	.........	.........	PUNCT
ejpam-4416	1278	2	.........	.........	PUNCT
ejpam-4416	1279	1	.........	.........	PUNCT
ejpam-4416	1279	2	.........	.........	PUNCT
ejpam-4416	1280	1	.........	.........	PUNCT
ejpam-4416	1280	2	....	....	PUNCT
ejpam-4416	1280	3	...........	...........	PUNCT
ejpam-4416	1281	1	..........	..........	PUNCT
ejpam-4416	1281	2	..........	..........	PUNCT
ejpam-4416	1282	1	..........	..........	PUNCT
ejpam-4416	1282	2	..........	..........	PUNCT
ejpam-4416	1283	1	..........	..........	PUNCT
ejpam-4416	1283	2	..........	..........	PUNCT
ejpam-4416	1284	1	..........	..........	PUNCT
ejpam-4416	1284	2	..........	..........	PUNCT
ejpam-4416	1285	1	..........	..........	PUNCT
ejpam-4416	1285	2	..........	..........	PUNCT
ejpam-4416	1286	1	..........	..........	PUNCT
ejpam-4416	1286	2	..........	..........	PUNCT
ejpam-4416	1287	1	..........	..........	PUNCT
ejpam-4416	1287	2	..........	..........	PUNCT
ejpam-4416	1288	1	..........	..........	PUNCT
ejpam-4416	1288	2	..........	..........	PUNCT
ejpam-4416	1289	1	..........	..........	PUNCT
ejpam-4416	1289	2	.......	.......	PUNCT
ejpam-4416	1290	1	.........................................................................................................................	.........................................................................................................................	PUNCT
ejpam-4416	1290	2	........................	........................	PUNCT
ejpam-4416	1290	3	........................	........................	PUNCT
ejpam-4416	1291	1	.......................	.......................	PUNCT
ejpam-4416	1291	2	........................	........................	PUNCT
ejpam-4416	1291	3	........................	........................	PUNCT
ejpam-4416	1291	4	........................	........................	PUNCT
ejpam-4416	1292	1	........................	........................	PUNCT
ejpam-4416	1292	2	..	..	PUNCT
ejpam-4416	1293	1	..............	..............	PUNCT
ejpam-4416	1293	2	.............	.............	PUNCT
ejpam-4416	1293	3	.............	.............	PUNCT
ejpam-4416	1293	4	.............	.............	PUNCT
ejpam-4416	1293	5	.............	.............	PUNCT
ejpam-4416	1293	6	.............	.............	PUNCT
ejpam-4416	1293	7	.............	.............	PUNCT
ejpam-4416	1293	8	.............	.............	PUNCT
ejpam-4416	1293	9	.............	.............	PUNCT
ejpam-4416	1293	10	.............	.............	PUNCT
ejpam-4416	1293	11	.............	.............	PUNCT
ejpam-4416	1293	12	.............	.............	PUNCT
ejpam-4416	1293	13	.............	.............	PUNCT
ejpam-4416	1293	14	.............	.............	PUNCT
ejpam-4416	1293	15	.............	.............	PUNCT
ejpam-4416	1293	16	.............	.............	PUNCT
ejpam-4416	1293	17	.............	.............	PUNCT
ejpam-4416	1293	18	.............	.............	PUNCT
ejpam-4416	1293	19	.............	.............	PUNCT
ejpam-4416	1293	20	.............	.............	PUNCT
ejpam-4416	1293	21	.......	.......	PUNCT
ejpam-4416	1294	1	......................................................................................................................................................................................................	......................................................................................................................................................................................................	PUNCT
ejpam-4416	1294	2	.....................	.....................	PUNCT
ejpam-4416	1294	3	....................	....................	PUNCT
ejpam-4416	1294	4	....................	....................	PUNCT
ejpam-4416	1294	5	....................	....................	PUNCT
ejpam-4416	1294	6	....................	....................	PUNCT
ejpam-4416	1294	7	....................	....................	PUNCT
ejpam-4416	1294	8	....................	....................	PUNCT
ejpam-4416	1294	9	....................	....................	PUNCT
ejpam-4416	1294	10	....................	....................	PUNCT
ejpam-4416	1294	11	....................	....................	PUNCT
ejpam-4416	1294	12	....................	....................	PUNCT
ejpam-4416	1294	13	....................	....................	PUNCT
ejpam-4416	1294	14	....................	....................	PUNCT
ejpam-4416	1294	15	....................	....................	PUNCT
ejpam-4416	1294	16	....................	....................	PUNCT
ejpam-4416	1294	17	....................	....................	PUNCT
ejpam-4416	1294	18	....................	....................	PUNCT
ejpam-4416	1294	19	..	..	PUNCT
ejpam-4416	1294	20	........................................................	........................................................	PUNCT
ejpam-4416	1294	21	.......................................................	.......................................................	PUNCT
ejpam-4416	1294	22	.......................................................	.......................................................	PUNCT
ejpam-4416	1294	23	.......................................................	.......................................................	PUNCT
ejpam-4416	1294	24	.......................................................	.......................................................	PUNCT
ejpam-4416	1294	25	....................................................	....................................................	PUNCT
ejpam-4416	1294	26	.............................................................................................................................................	.............................................................................................................................................	PUNCT
ejpam-4416	1295	1	..........................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1295	2	.....................................................................................................................................................................................................................................................................................................................................................................	.....................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1295	3	..............................	..............................	PUNCT
ejpam-4416	1295	4	..............................	..............................	PUNCT
ejpam-4416	1295	5	..............................	..............................	PUNCT
ejpam-4416	1295	6	..............................	..............................	PUNCT
ejpam-4416	1295	7	..............................	..............................	PUNCT
ejpam-4416	1295	8	..............................	..............................	PUNCT
ejpam-4416	1295	9	..............................	..............................	PUNCT
ejpam-4416	1295	10	..............................	..............................	PUNCT
ejpam-4416	1295	11	..............................	..............................	PUNCT
ejpam-4416	1295	12	..............................	..............................	PUNCT
ejpam-4416	1296	1	..............................	..............................	PUNCT
ejpam-4416	1297	1	......................................................................................................................................................	......................................................................................................................................................	NUM
ejpam-4416	1297	2	................................................................................................................................................................................................................................	................................................................................................................................................................................................................................	NUM
ejpam-4416	1298	1	.............................................................................................................................................................................................................................................................................................................................	.............................................................................................................................................................................................................................................................................................................................	PROPN
ejpam-4416	1298	2	..................................................................................................................................................................................................................................................................................................................................................................................	..................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1298	3	...............................................................................................................................................................................................................................................................................................................................................................................................	...............................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1299	1	..................................	..................................	PUNCT
ejpam-4416	1299	2	..................................	..................................	PUNCT
ejpam-4416	1300	1	..................................	..................................	PUNCT
ejpam-4416	1300	2	..................................	..................................	PUNCT
ejpam-4416	1300	3	..............	..............	PUNCT
ejpam-4416	1300	4	.............	.............	PUNCT
ejpam-4416	1301	1	..........	..........	PUNCT
ejpam-4416	1301	2	..............	..............	PUNCT
ejpam-4416	1301	3	.............	.............	PUNCT
ejpam-4416	1302	1	..........	..........	PUNCT
ejpam-4416	1302	2	.................	.................	PUNCT
ejpam-4416	1303	1	................	................	PUNCT
ejpam-4416	1303	2	................	................	PUNCT
ejpam-4416	1304	1	................	................	PUNCT
ejpam-4416	1304	2	................	................	PUNCT
ejpam-4416	1305	1	................	................	PUNCT
ejpam-4416	1305	2	................	................	PUNCT
ejpam-4416	1306	1	................	................	PUNCT
ejpam-4416	1306	2	................	................	PUNCT
ejpam-4416	1306	3	.........	.........	PUNCT
ejpam-4416	1306	4	...........	...........	PUNCT
ejpam-4416	1306	5	..........	..........	PUNCT
ejpam-4416	1307	1	..........	..........	PUNCT
ejpam-4416	1307	2	..........	..........	PUNCT
ejpam-4416	1308	1	..........	..........	PUNCT
ejpam-4416	1308	2	..........	..........	PUNCT
ejpam-4416	1309	1	..........	..........	PUNCT
ejpam-4416	1309	2	..........	..........	PUNCT
ejpam-4416	1310	1	..........	..........	PUNCT
ejpam-4416	1310	2	..........	..........	PUNCT
ejpam-4416	1311	1	..........	..........	PUNCT
ejpam-4416	1311	2	..........	..........	PUNCT
ejpam-4416	1312	1	..........	..........	PUNCT
ejpam-4416	1312	2	..........	..........	PUNCT
ejpam-4416	1313	1	..........	..........	PUNCT
ejpam-4416	1313	2	..........	..........	PUNCT
ejpam-4416	1314	1	..........	..........	PUNCT
ejpam-4416	1314	2	..........	..........	PUNCT
ejpam-4416	1314	3	.......	.......	PUNCT
ejpam-4416	1315	1	..........	..........	PUNCT
ejpam-4416	1315	2	.........	.........	PUNCT
ejpam-4416	1316	1	.........	.........	PUNCT
ejpam-4416	1316	2	.........	.........	PUNCT
ejpam-4416	1317	1	.........	.........	PUNCT
ejpam-4416	1317	2	.........	.........	PUNCT
ejpam-4416	1318	1	.........	.........	PUNCT
ejpam-4416	1318	2	.........	.........	PUNCT
ejpam-4416	1319	1	.........	.........	PUNCT
ejpam-4416	1319	2	.........	.........	PUNCT
ejpam-4416	1320	1	.........	.........	PUNCT
ejpam-4416	1320	2	.........	.........	PUNCT
ejpam-4416	1321	1	.........	.........	PUNCT
ejpam-4416	1321	2	.........	.........	PUNCT
ejpam-4416	1322	1	.........	.........	PUNCT
ejpam-4416	1322	2	.........	.........	PUNCT
ejpam-4416	1323	1	.........	.........	PUNCT
ejpam-4416	1323	2	.........	.........	PUNCT
ejpam-4416	1324	1	.........	.........	PUNCT
ejpam-4416	1324	2	.........	.........	PUNCT
ejpam-4416	1324	3	.........	.........	PUNCT
ejpam-4416	1324	4	........	........	PUNCT
ejpam-4416	1324	5	.........	.........	PUNCT
ejpam-4416	1324	6	........	........	PUNCT
ejpam-4416	1324	7	........	........	PUNCT
ejpam-4416	1324	8	........	........	PUNCT
ejpam-4416	1324	9	........	........	PUNCT
ejpam-4416	1324	10	........	........	PUNCT
ejpam-4416	1324	11	........	........	PUNCT
ejpam-4416	1324	12	........	........	PUNCT
ejpam-4416	1324	13	........	........	PUNCT
ejpam-4416	1324	14	........	........	PUNCT
ejpam-4416	1324	15	........	........	PUNCT
ejpam-4416	1324	16	........	........	PUNCT
ejpam-4416	1324	17	........	........	PUNCT
ejpam-4416	1324	18	........	........	PUNCT
ejpam-4416	1324	19	........	........	PUNCT
ejpam-4416	1324	20	........	........	PUNCT
ejpam-4416	1324	21	........	........	PUNCT
ejpam-4416	1324	22	........	........	PUNCT
ejpam-4416	1324	23	........	........	PUNCT
ejpam-4416	1324	24	........	........	PUNCT
ejpam-4416	1324	25	........	........	PUNCT
ejpam-4416	1324	26	........	........	PUNCT
ejpam-4416	1324	27	........	........	PUNCT
ejpam-4416	1324	28	........	........	PUNCT
ejpam-4416	1325	1	.....	.....	PUNCT
ejpam-4416	1325	2	..............................................................................................................................................................................................................	..............................................................................................................................................................................................................	PUNCT
ejpam-4416	1326	1	............................................................................................................................................................................................	............................................................................................................................................................................................	PUNCT
ejpam-4416	1326	2	..........................................................................................................................................................	..........................................................................................................................................................	PUNCT
ejpam-4416	1327	1	.................	.................	PUNCT
ejpam-4416	1327	2	................	................	PUNCT
ejpam-4416	1328	1	......	......	PUNCT
ejpam-4416	1328	2	...........	...........	PUNCT
ejpam-4416	1328	3	..........	..........	PUNCT
ejpam-4416	1329	1	..........	..........	PUNCT
ejpam-4416	1329	2	..........	..........	PUNCT
ejpam-4416	1330	1	.........	.........	PUNCT
ejpam-4416	1330	2	..........	..........	PUNCT
ejpam-4416	1331	1	.........	.........	PUNCT
ejpam-4416	1331	2	.........	.........	PUNCT
ejpam-4416	1332	1	.........	.........	PUNCT
ejpam-4416	1332	2	.........	.........	PUNCT
ejpam-4416	1332	3	.......	.......	PUNCT
ejpam-4416	1332	4	.........	.........	PUNCT
ejpam-4416	1332	5	........	........	PUNCT
ejpam-4416	1332	6	........	........	PUNCT
ejpam-4416	1332	7	........	........	PUNCT
ejpam-4416	1332	8	........	........	PUNCT
ejpam-4416	1332	9	........	........	PUNCT
ejpam-4416	1333	1	............................................................	............................................................	PUNCT
ejpam-4416	1333	2	..................................................	..................................................	PUNCT
ejpam-4416	1334	1	.......................................	.......................................	PUNCT
ejpam-4416	1334	2	c(γc8	c(γc8	NOUN
ejpam-4416	1334	3	)	)	PUNCT
ejpam-4416	1334	4	:	:	PUNCT
ejpam-4416	1334	5	c07	c07	PROPN
ejpam-4416	1334	6	c06	c06	PROPN
ejpam-4416	1334	7	c05c04c03	c05c04c03	PROPN
ejpam-4416	1334	8	c02	c02	PROPN
ejpam-4416	1334	9	c01	c01	PROPN
ejpam-4416	1334	10	c56	c56	PROPN
ejpam-4416	1334	11	c34	c34	NOUN
ejpam-4416	1334	12	c12	c12	NOUN
ejpam-4416	1334	13	v0	v0	NOUN
ejpam-4416	1334	14	v7	v7	VERB
ejpam-4416	1334	15	v6	v6	NOUN
ejpam-4416	1334	16	v5v4	v5v4	X
ejpam-4416	1334	17	v3	v3	PROPN
ejpam-4416	1334	18	v2	v2	PROPN
ejpam-4416	1334	19	v1	v1	PROPN
ejpam-4416	1334	20	....................................	....................................	PUNCT
ejpam-4416	1335	1	....................................	....................................	PUNCT
ejpam-4416	1335	2	....................................	....................................	PUNCT
ejpam-4416	1336	1	....................................	....................................	PUNCT
ejpam-4416	1336	2	....................................	....................................	PUNCT
ejpam-4416	1337	1	....................................	....................................	PUNCT
ejpam-4416	1337	2	....................................	....................................	PUNCT
ejpam-4416	1338	1	....................................	....................................	PUNCT
ejpam-4416	1339	1	v7	v7	VERB
ejpam-4416	1339	2	cen(c(γc8	cen(c(γc8	NOUN
ejpam-4416	1339	3	)	)	PUNCT
ejpam-4416	1339	4	)	)	PUNCT
ejpam-4416	1340	1	:	:	PUNCT
ejpam-4416	1340	2	figure	figure	VERB
ejpam-4416	1340	3	9	9	NUM
ejpam-4416	1340	4	:	:	PUNCT
ejpam-4416	1340	5	the	the	DET
ejpam-4416	1340	6	central	central	ADJ
ejpam-4416	1340	7	graph	graph	NOUN
ejpam-4416	1340	8	of	of	ADP
ejpam-4416	1340	9	γc8	γc8	PROPN
ejpam-4416	1340	10	and	and	CCONJ
ejpam-4416	1340	11	its	its	PRON
ejpam-4416	1340	12	center	center	NOUN
ejpam-4416	1340	13	.	.	PUNCT
ejpam-4416	1341	1	the	the	DET
ejpam-4416	1341	2	center	center	NOUN
ejpam-4416	1341	3	of	of	ADP
ejpam-4416	1341	4	γc8	γc8	PROPN
ejpam-4416	1341	5	is	be	AUX
ejpam-4416	1341	6	a	a	DET
ejpam-4416	1341	7	subgraph	subgraph	NOUN
ejpam-4416	1341	8	induced	induce	VERB
ejpam-4416	1341	9	by	by	ADP
ejpam-4416	1341	10	a	a	DET
ejpam-4416	1341	11	vertex	vertex	NOUN
ejpam-4416	1341	12	v7	v7	NOUN
ejpam-4416	1341	13	.	.	PUNCT
ejpam-4416	1342	1	if	if	SCONJ
ejpam-4416	1342	2	n	n	NOUN
ejpam-4416	1342	3	is	be	AUX
ejpam-4416	1342	4	odd	odd	ADJ
ejpam-4416	1342	5	,	,	PUNCT
ejpam-4416	1342	6	the	the	DET
ejpam-4416	1342	7	center	center	NOUN
ejpam-4416	1342	8	of	of	ADP
ejpam-4416	1342	9	the	the	DET
ejpam-4416	1342	10	graph	graph	NOUN
ejpam-4416	1342	11	c(γcn	c(γcn	PROPN
ejpam-4416	1342	12	)	)	PUNCT
ejpam-4416	1342	13	is	be	AUX
ejpam-4416	1342	14	given	give	VERB
ejpam-4416	1342	15	in	in	ADP
ejpam-4416	1342	16	the	the	DET
ejpam-4416	1342	17	next	next	ADJ
ejpam-4416	1342	18	proposition	proposition	NOUN
ejpam-4416	1342	19	.	.	PUNCT
ejpam-4416	1343	1	proposition	proposition	NOUN
ejpam-4416	1343	2	7	7	NUM
ejpam-4416	1343	3	.	.	PUNCT
ejpam-4416	1344	1	let	let	AUX
ejpam-4416	1344	2	c(γcn	c(γcn	PROPN
ejpam-4416	1344	3	)	)	PUNCT
ejpam-4416	1344	4	be	be	VERB
ejpam-4416	1344	5	the	the	DET
ejpam-4416	1344	6	central	central	ADJ
ejpam-4416	1344	7	graph	graph	NOUN
ejpam-4416	1344	8	of	of	ADP
ejpam-4416	1344	9	γcn	γcn	PROPN
ejpam-4416	1344	10	.	.	PUNCT
ejpam-4416	1345	1	if	if	SCONJ
ejpam-4416	1345	2	n	n	NOUN
ejpam-4416	1345	3	is	be	AUX
ejpam-4416	1345	4	odd	odd	ADJ
ejpam-4416	1345	5	(	(	PUNCT
ejpam-4416	1345	6	≥	≥	NOUN
ejpam-4416	1345	7	3	3	NUM
ejpam-4416	1345	8	)	)	PUNCT
ejpam-4416	1345	9	,	,	PUNCT
ejpam-4416	1345	10	then	then	ADV
ejpam-4416	1345	11	c(γcn	c(γcn	PROPN
ejpam-4416	1345	12	)	)	PUNCT
ejpam-4416	1345	13	is	be	AUX
ejpam-4416	1345	14	a	a	DET
ejpam-4416	1345	15	self	self	NOUN
ejpam-4416	1345	16	-	-	PUNCT
ejpam-4416	1345	17	centered	center	VERB
ejpam-4416	1345	18	graph	graph	NOUN
ejpam-4416	1345	19	.	.	PUNCT
ejpam-4416	1346	1	proof	proof	NOUN
ejpam-4416	1346	2	.	.	PUNCT
ejpam-4416	1347	1	let	let	VERB
ejpam-4416	1347	2	cn	cn	PROPN
ejpam-4416	1347	3	be	be	AUX
ejpam-4416	1347	4	a	a	DET
ejpam-4416	1347	5	cyclic	cyclic	ADJ
ejpam-4416	1347	6	group	group	NOUN
ejpam-4416	1347	7	of	of	ADP
ejpam-4416	1347	8	odd	odd	ADJ
ejpam-4416	1347	9	order	order	NOUN
ejpam-4416	1347	10	n	n	PRON
ejpam-4416	1347	11	≥	≥	NOUN
ejpam-4416	1347	12	3	3	X
ejpam-4416	1347	13	.	.	PUNCT
ejpam-4416	1348	1	we	we	PRON
ejpam-4416	1348	2	can	can	AUX
ejpam-4416	1348	3	associate	associate	VERB
ejpam-4416	1348	4	an	an	DET
ejpam-4416	1348	5	identity	identity	NOUN
ejpam-4416	1348	6	graph	graph	NOUN
ejpam-4416	1348	7	(	(	PUNCT
ejpam-4416	1348	8	see	see	VERB
ejpam-4416	1348	9	figure	figure	NOUN
ejpam-4416	1348	10	2	2	NUM
ejpam-4416	1348	11	)	)	PUNCT
ejpam-4416	1348	12	and	and	CCONJ
ejpam-4416	1348	13	its	its	PRON
ejpam-4416	1348	14	central	central	ADJ
ejpam-4416	1348	15	graph	graph	NOUN
ejpam-4416	1348	16	(	(	PUNCT
ejpam-4416	1348	17	figure	figure	NOUN
ejpam-4416	1348	18	3	3	NUM
ejpam-4416	1348	19	)	)	PUNCT
ejpam-4416	1348	20	.	.	PUNCT
ejpam-4416	1349	1	proposition	proposition	NOUN
ejpam-4416	1349	2	4-(i	4-(i	NUM
ejpam-4416	1349	3	)	)	PUNCT
ejpam-4416	1349	4	,	,	PUNCT
ejpam-4416	1349	5	tells	tell	VERB
ejpam-4416	1349	6	us	we	PRON
ejpam-4416	1349	7	that	that	PRON
ejpam-4416	1349	8	for	for	ADP
ejpam-4416	1349	9	any	any	DET
ejpam-4416	1349	10	u	u	PROPN
ejpam-4416	1349	11	∈	∈	PROPN
ejpam-4416	1349	12	v	v	NOUN
ejpam-4416	1349	13	(	(	PUNCT
ejpam-4416	1349	14	c(γcn	c(γcn	PROPN
ejpam-4416	1349	15	)	)	PUNCT
ejpam-4416	1349	16	)	)	PUNCT
ejpam-4416	1349	17	,	,	PUNCT
ejpam-4416	1349	18	e(u	e(u	PROPN
ejpam-4416	1349	19	)	)	PUNCT
ejpam-4416	1349	20	=	=	PUNCT
ejpam-4416	1350	1	3	3	X
ejpam-4416	1350	2	.	.	X
ejpam-4416	1350	3	hence	hence	ADV
ejpam-4416	1350	4	,	,	PUNCT
ejpam-4416	1350	5	rad(c(γcn	rad(c(γcn	PROPN
ejpam-4416	1350	6	)	)	PUNCT
ejpam-4416	1350	7	)	)	PUNCT
ejpam-4416	1351	1	=	=	SYM
ejpam-4416	1351	2	3	3	X
ejpam-4416	1351	3	=	=	SYM
ejpam-4416	1351	4	e(u	e(u	PROPN
ejpam-4416	1351	5	)	)	PUNCT
ejpam-4416	1351	6	.	.	PUNCT
ejpam-4416	1352	1	thus	thus	ADV
ejpam-4416	1352	2	,	,	PUNCT
ejpam-4416	1352	3	all	all	DET
ejpam-4416	1352	4	u	u	NOUN
ejpam-4416	1352	5	∈	∈	PROPN
ejpam-4416	1352	6	v	v	NOUN
ejpam-4416	1352	7	(	(	PUNCT
ejpam-4416	1352	8	c(γcn	c(γcn	PROPN
ejpam-4416	1352	9	)	)	PUNCT
ejpam-4416	1352	10	)	)	PUNCT
ejpam-4416	1352	11	are	be	AUX
ejpam-4416	1352	12	central	central	ADJ
ejpam-4416	1352	13	vertices	vertex	NOUN
ejpam-4416	1352	14	of	of	ADP
ejpam-4416	1352	15	c(γcn	c(γcn	PROPN
ejpam-4416	1352	16	)	)	PUNCT
ejpam-4416	1352	17	.	.	PUNCT
ejpam-4416	1353	1	therefore	therefore	ADV
ejpam-4416	1353	2	a	a	DET
ejpam-4416	1353	3	subgraph	subgraph	NOUN
ejpam-4416	1353	4	induced	induce	VERB
ejpam-4416	1353	5	by	by	ADP
ejpam-4416	1353	6	the	the	DET
ejpam-4416	1353	7	central	central	ADJ
ejpam-4416	1353	8	vertices	vertex	NOUN
ejpam-4416	1353	9	of	of	ADP
ejpam-4416	1353	10	c(γcn	c(γcn	PROPN
ejpam-4416	1353	11	)	)	PUNCT
ejpam-4416	1353	12	is	be	AUX
ejpam-4416	1353	13	c(γn	c(γn	PROPN
ejpam-4416	1353	14	)	)	PUNCT
ejpam-4416	1353	15	itself	itself	PRON
ejpam-4416	1353	16	.	.	PUNCT
ejpam-4416	1354	1	c(γc7	c(γc7	NOUN
ejpam-4416	1354	2	)	)	PUNCT
ejpam-4416	1354	3	:	:	PUNCT
ejpam-4416	1354	4	.........	.........	PUNCT
ejpam-4416	1354	5	.....................................................	.....................................................	PUNCT
ejpam-4416	1354	6	..	..	PUNCT
ejpam-4416	1354	7	.........	.........	PUNCT
ejpam-4416	1355	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1355	2	..	..	PUNCT
ejpam-4416	1355	3	.........	.........	PUNCT
ejpam-4416	1356	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1356	2	..	..	PUNCT
ejpam-4416	1356	3	.........	.........	PUNCT
ejpam-4416	1357	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1357	2	..	..	PUNCT
ejpam-4416	1357	3	.........	.........	PUNCT
ejpam-4416	1358	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1358	2	..	..	PUNCT
ejpam-4416	1358	3	.........	.........	PUNCT
ejpam-4416	1359	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1359	2	..	..	PUNCT
ejpam-4416	1359	3	.........	.........	PUNCT
ejpam-4416	1360	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1360	2	..	..	PUNCT
ejpam-4416	1360	3	.........	.........	PUNCT
ejpam-4416	1361	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1361	2	..	..	PUNCT
ejpam-4416	1361	3	.........	.........	PUNCT
ejpam-4416	1362	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1362	2	..	..	PUNCT
ejpam-4416	1362	3	.........	.........	PUNCT
ejpam-4416	1363	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1363	2	..	..	PUNCT
ejpam-4416	1363	3	.........	.........	PUNCT
ejpam-4416	1364	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1364	2	..	..	PUNCT
ejpam-4416	1364	3	.........	.........	PUNCT
ejpam-4416	1365	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1365	2	..	..	PUNCT
ejpam-4416	1365	3	.........	.........	PUNCT
ejpam-4416	1366	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1366	2	..	..	PUNCT
ejpam-4416	1366	3	.........	.........	PUNCT
ejpam-4416	1367	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1367	2	..	..	PUNCT
ejpam-4416	1367	3	.........	.........	PUNCT
ejpam-4416	1368	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1368	2	..	..	PUNCT
ejpam-4416	1368	3	.........	.........	PUNCT
ejpam-4416	1369	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1369	2	..	..	PUNCT
ejpam-4416	1370	1	c01	c01	PROPN
ejpam-4416	1370	2	c02	c02	PROPN
ejpam-4416	1370	3	c03c04	c03c04	PROPN
ejpam-4416	1370	4	c05	c05	PROPN
ejpam-4416	1370	5	c06	c06	PROPN
ejpam-4416	1370	6	c12	c12	PROPN
ejpam-4416	1370	7	c34	c34	NOUN
ejpam-4416	1370	8	c56	c56	NOUN
ejpam-4416	1370	9	...................	...................	PUNCT
ejpam-4416	1370	10	..................	..................	PUNCT
ejpam-4416	1371	1	................	................	PUNCT
ejpam-4416	1371	2	...........	...........	PUNCT
ejpam-4416	1371	3	..........	..........	PUNCT
ejpam-4416	1372	1	..........	..........	PUNCT
ejpam-4416	1372	2	..........	..........	PUNCT
ejpam-4416	1373	1	..........	..........	PUNCT
ejpam-4416	1373	2	....	....	PUNCT
ejpam-4416	1374	1	.........	.........	PUNCT
ejpam-4416	1374	2	........	........	PUNCT
ejpam-4416	1374	3	........	........	PUNCT
ejpam-4416	1374	4	........	........	PUNCT
ejpam-4416	1374	5	........	........	PUNCT
ejpam-4416	1374	6	........	........	PUNCT
ejpam-4416	1374	7	...........................................................	...........................................................	PUNCT
ejpam-4416	1374	8	.......................................................	.......................................................	PUNCT
ejpam-4416	1374	9	....................................................	....................................................	PUNCT
ejpam-4416	1374	10	..................	..................	PUNCT
ejpam-4416	1375	1	.................	.................	PUNCT
ejpam-4416	1375	2	.................	.................	PUNCT
ejpam-4416	1376	1	.................	.................	PUNCT
ejpam-4416	1376	2	.................	.................	PUNCT
ejpam-4416	1377	1	.................	.................	PUNCT
ejpam-4416	1377	2	.................	.................	PUNCT
ejpam-4416	1378	1	.................	.................	PUNCT
ejpam-4416	1378	2	.................	.................	PUNCT
ejpam-4416	1379	1	.................	.................	PUNCT
ejpam-4416	1379	2	.................	.................	PUNCT
ejpam-4416	1380	1	.....	.....	PUNCT
ejpam-4416	1380	2	...........	...........	PUNCT
ejpam-4416	1380	3	..........	..........	PUNCT
ejpam-4416	1381	1	..........	..........	PUNCT
ejpam-4416	1381	2	..........	..........	PUNCT
ejpam-4416	1382	1	..........	..........	PUNCT
ejpam-4416	1382	2	..........	..........	PUNCT
ejpam-4416	1383	1	..........	..........	PUNCT
ejpam-4416	1383	2	..........	..........	PUNCT
ejpam-4416	1384	1	..........	..........	PUNCT
ejpam-4416	1384	2	..........	..........	PUNCT
ejpam-4416	1385	1	..........	..........	PUNCT
ejpam-4416	1385	2	..........	..........	PUNCT
ejpam-4416	1386	1	..........	..........	PUNCT
ejpam-4416	1386	2	..........	..........	PUNCT
ejpam-4416	1387	1	..........	..........	PUNCT
ejpam-4416	1387	2	..........	..........	PUNCT
ejpam-4416	1388	1	..........	..........	PUNCT
ejpam-4416	1388	2	..........	..........	PUNCT
ejpam-4416	1389	1	..........	..........	PUNCT
ejpam-4416	1389	2	..........	..........	PUNCT
ejpam-4416	1390	1	..	..	PUNCT
ejpam-4416	1390	2	.........	.........	PUNCT
ejpam-4416	1390	3	........	........	PUNCT
ejpam-4416	1390	4	........	........	PUNCT
ejpam-4416	1390	5	........	........	PUNCT
ejpam-4416	1390	6	........	........	PUNCT
ejpam-4416	1390	7	........	........	PUNCT
ejpam-4416	1390	8	........	........	PUNCT
ejpam-4416	1390	9	........	........	PUNCT
ejpam-4416	1390	10	........	........	PUNCT
ejpam-4416	1390	11	........	........	PUNCT
ejpam-4416	1390	12	........	........	PUNCT
ejpam-4416	1390	13	........	........	PUNCT
ejpam-4416	1390	14	........	........	PUNCT
ejpam-4416	1390	15	........	........	PUNCT
ejpam-4416	1390	16	........	........	PUNCT
ejpam-4416	1390	17	........	........	PUNCT
ejpam-4416	1390	18	........	........	PUNCT
ejpam-4416	1390	19	........	........	PUNCT
ejpam-4416	1390	20	........	........	PUNCT
ejpam-4416	1390	21	........	........	PUNCT
ejpam-4416	1390	22	........	........	PUNCT
ejpam-4416	1390	23	........	........	PUNCT
ejpam-4416	1390	24	........	........	PUNCT
ejpam-4416	1390	25	........	........	PUNCT
ejpam-4416	1390	26	.......	.......	PUNCT
ejpam-4416	1390	27	........................................................................................................................................................................................................	........................................................................................................................................................................................................	PUNCT
ejpam-4416	1390	28	...........................................................................................................................................................................................................	...........................................................................................................................................................................................................	PUNCT
ejpam-4416	1391	1	..................................................................................................................................................................................................	..................................................................................................................................................................................................	PUNCT
ejpam-4416	1391	2	............................................	............................................	PUNCT
ejpam-4416	1392	1	............................................	............................................	PUNCT
ejpam-4416	1392	2	..............................................	..............................................	PUNCT
ejpam-4416	1392	3	..............................................	..............................................	PUNCT
ejpam-4416	1392	4	...........	...........	PUNCT
ejpam-4416	1392	5	..........	..........	PUNCT
ejpam-4416	1393	1	..........	..........	PUNCT
ejpam-4416	1393	2	..........	..........	PUNCT
ejpam-4416	1393	3	...	...	PUNCT
ejpam-4416	1393	4	...........	...........	PUNCT
ejpam-4416	1394	1	..........	..........	PUNCT
ejpam-4416	1394	2	..........	..........	PUNCT
ejpam-4416	1395	1	..........	..........	PUNCT
ejpam-4416	1395	2	.....................................................................................................................................................................................................................................	.....................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1396	1	................................................................................................................................................................................................................................................................................................................................................	................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1396	2	...........................................................................................................................................................................................................................................................................................................................................................................................................................................	...........................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1397	1	...........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	...........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1397	2	............................................................................................................	............................................................................................................	PUNCT
ejpam-4416	1398	1	........................................................................................................................................................................................................................................	........................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1398	2	..........................................................................................................................................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1399	1	..................................	..................................	PUNCT
ejpam-4416	1399	2	..................................	..................................	PUNCT
ejpam-4416	1399	3	..................................	..................................	PUNCT
ejpam-4416	1399	4	..................................	..................................	PUNCT
ejpam-4416	1399	5	..................................	..................................	PUNCT
ejpam-4416	1399	6	..................................	..................................	PUNCT
ejpam-4416	1399	7	..................................	..................................	PUNCT
ejpam-4416	1399	8	..................................	..................................	PUNCT
ejpam-4416	1399	9	..................................	..................................	PUNCT
ejpam-4416	1399	10	..................................	..................................	PUNCT
ejpam-4416	1399	11	..................................	..................................	PUNCT
ejpam-4416	1399	12	..................	..................	PUNCT
ejpam-4416	1399	13	.......................................	.......................................	PUNCT
ejpam-4416	1399	14	......................................	......................................	PUNCT
ejpam-4416	1399	15	......................................	......................................	PUNCT
ejpam-4416	1399	16	......................................	......................................	PUNCT
ejpam-4416	1399	17	......................................	......................................	PUNCT
ejpam-4416	1399	18	......................................	......................................	PUNCT
ejpam-4416	1399	19	...	...	PUNCT
ejpam-4416	1400	1	...................	...................	PUNCT
ejpam-4416	1400	2	..................	..................	PUNCT
ejpam-4416	1401	1	..................	..................	PUNCT
ejpam-4416	1401	2	..................	..................	PUNCT
ejpam-4416	1402	1	..................	..................	PUNCT
ejpam-4416	1402	2	..................	..................	PUNCT
ejpam-4416	1403	1	..................	..................	PUNCT
ejpam-4416	1403	2	..................	..................	PUNCT
ejpam-4416	1404	1	..................	..................	PUNCT
ejpam-4416	1404	2	..................	..................	PUNCT
ejpam-4416	1405	1	..................	..................	PUNCT
ejpam-4416	1405	2	..................	..................	PUNCT
ejpam-4416	1406	1	..................	..................	PUNCT
ejpam-4416	1406	2	..................	..................	PUNCT
ejpam-4416	1407	1	..................	..................	PUNCT
ejpam-4416	1407	2	..................	..................	PUNCT
ejpam-4416	1408	1	..................	..................	PUNCT
ejpam-4416	1408	2	..................	..................	PUNCT
ejpam-4416	1408	3	...........	...........	PUNCT
ejpam-4416	1408	4	.....................	.....................	PUNCT
ejpam-4416	1408	5	....................	....................	PUNCT
ejpam-4416	1408	6	....................	....................	PUNCT
ejpam-4416	1408	7	....................	....................	PUNCT
ejpam-4416	1408	8	....................	....................	PUNCT
ejpam-4416	1408	9	.......	.......	PUNCT
ejpam-4416	1409	1	..............	..............	PUNCT
ejpam-4416	1409	2	.............	.............	PUNCT
ejpam-4416	1409	3	.............	.............	PUNCT
ejpam-4416	1409	4	.............	.............	PUNCT
ejpam-4416	1409	5	.............	.............	PUNCT
ejpam-4416	1409	6	.............	.............	PUNCT
ejpam-4416	1409	7	.............	.............	PUNCT
ejpam-4416	1409	8	.............	.............	PUNCT
ejpam-4416	1409	9	.............	.............	PUNCT
ejpam-4416	1409	10	.............	.............	PUNCT
ejpam-4416	1409	11	.............	.............	PUNCT
ejpam-4416	1409	12	.............	.............	PUNCT
ejpam-4416	1409	13	.............	.............	PUNCT
ejpam-4416	1409	14	.............	.............	PUNCT
ejpam-4416	1409	15	.............	.............	PUNCT
ejpam-4416	1409	16	.............	.............	PUNCT
ejpam-4416	1409	17	.............	.............	PUNCT
ejpam-4416	1410	1	....	....	PUNCT
ejpam-4416	1410	2	v0	v0	NOUN
ejpam-4416	1410	3	v1	v1	NOUN
ejpam-4416	1410	4	v2	v2	PROPN
ejpam-4416	1410	5	v3v4	v3v4	PUNCT
ejpam-4416	1410	6	v5	v5	PROPN
ejpam-4416	1410	7	v6	v6	NOUN
ejpam-4416	1410	8	3	3	NUM
ejpam-4416	1410	9	3	3	NUM
ejpam-4416	1410	10	3	3	NUM
ejpam-4416	1410	11	33	33	NUM
ejpam-4416	1410	12	3	3	NUM
ejpam-4416	1410	13	3	3	NUM
ejpam-4416	1410	14	3	3	NUM
ejpam-4416	1410	15	3	3	NUM
ejpam-4416	1410	16	3	3	NUM
ejpam-4416	1410	17	3	3	NUM
ejpam-4416	1410	18	33	33	NUM
ejpam-4416	1410	19	3	3	NUM
ejpam-4416	1410	20	3	3	NUM
ejpam-4416	1410	21	3	3	NUM
ejpam-4416	1410	22	cen(c(γc7	cen(c(γc7	NOUN
ejpam-4416	1410	23	)	)	PUNCT
ejpam-4416	1410	24	)	)	PUNCT
ejpam-4416	1410	25	:	:	PUNCT
ejpam-4416	1410	26	.........	.........	PUNCT
ejpam-4416	1410	27	.....................................................	.....................................................	PUNCT
ejpam-4416	1410	28	..	..	PUNCT
ejpam-4416	1410	29	.........	.........	PUNCT
ejpam-4416	1411	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1411	2	..	..	PUNCT
ejpam-4416	1411	3	.........	.........	PUNCT
ejpam-4416	1412	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1412	2	..	..	PUNCT
ejpam-4416	1412	3	.........	.........	PUNCT
ejpam-4416	1413	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1413	2	..	..	PUNCT
ejpam-4416	1413	3	.........	.........	PUNCT
ejpam-4416	1414	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1414	2	..	..	PUNCT
ejpam-4416	1414	3	.........	.........	PUNCT
ejpam-4416	1415	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1415	2	..	..	PUNCT
ejpam-4416	1415	3	.........	.........	PUNCT
ejpam-4416	1416	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1416	2	..	..	PUNCT
ejpam-4416	1416	3	.........	.........	PUNCT
ejpam-4416	1417	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1417	2	..	..	PUNCT
ejpam-4416	1417	3	.........	.........	PUNCT
ejpam-4416	1418	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1418	2	..	..	PUNCT
ejpam-4416	1418	3	.........	.........	PUNCT
ejpam-4416	1419	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1419	2	..	..	PUNCT
ejpam-4416	1419	3	.........	.........	PUNCT
ejpam-4416	1420	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1420	2	..	..	PUNCT
ejpam-4416	1420	3	.........	.........	PUNCT
ejpam-4416	1421	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1421	2	..	..	PUNCT
ejpam-4416	1421	3	.........	.........	PUNCT
ejpam-4416	1422	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1422	2	..	..	PUNCT
ejpam-4416	1422	3	.........	.........	PUNCT
ejpam-4416	1423	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1423	2	..	..	PUNCT
ejpam-4416	1423	3	.........	.........	PUNCT
ejpam-4416	1424	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1424	2	..	..	PUNCT
ejpam-4416	1424	3	.........	.........	PUNCT
ejpam-4416	1425	1	.....................................................	.....................................................	PUNCT
ejpam-4416	1425	2	..	..	PUNCT
ejpam-4416	1426	1	c01	c01	PROPN
ejpam-4416	1426	2	c02	c02	PROPN
ejpam-4416	1426	3	c03c04	c03c04	PROPN
ejpam-4416	1426	4	c05	c05	PROPN
ejpam-4416	1426	5	c06	c06	PROPN
ejpam-4416	1426	6	c12	c12	PROPN
ejpam-4416	1426	7	c34	c34	NOUN
ejpam-4416	1426	8	c56	c56	NOUN
ejpam-4416	1426	9	...................	...................	PUNCT
ejpam-4416	1426	10	..................	..................	PUNCT
ejpam-4416	1427	1	................	................	PUNCT
ejpam-4416	1427	2	...........	...........	PUNCT
ejpam-4416	1427	3	..........	..........	PUNCT
ejpam-4416	1428	1	..........	..........	PUNCT
ejpam-4416	1428	2	..........	..........	PUNCT
ejpam-4416	1429	1	..........	..........	PUNCT
ejpam-4416	1429	2	....	....	PUNCT
ejpam-4416	1430	1	.........	.........	PUNCT
ejpam-4416	1430	2	........	........	PUNCT
ejpam-4416	1430	3	........	........	PUNCT
ejpam-4416	1430	4	........	........	PUNCT
ejpam-4416	1430	5	........	........	PUNCT
ejpam-4416	1430	6	........	........	PUNCT
ejpam-4416	1430	7	...........................................................	...........................................................	PUNCT
ejpam-4416	1430	8	.......................................................	.......................................................	PUNCT
ejpam-4416	1430	9	....................................................	....................................................	PUNCT
ejpam-4416	1430	10	..................	..................	PUNCT
ejpam-4416	1431	1	.................	.................	PUNCT
ejpam-4416	1431	2	.................	.................	PUNCT
ejpam-4416	1432	1	.................	.................	PUNCT
ejpam-4416	1432	2	.................	.................	PUNCT
ejpam-4416	1433	1	.................	.................	PUNCT
ejpam-4416	1433	2	.................	.................	PUNCT
ejpam-4416	1434	1	.................	.................	PUNCT
ejpam-4416	1434	2	.................	.................	PUNCT
ejpam-4416	1435	1	.................	.................	PUNCT
ejpam-4416	1435	2	.................	.................	PUNCT
ejpam-4416	1436	1	.....	.....	PUNCT
ejpam-4416	1436	2	...........	...........	PUNCT
ejpam-4416	1436	3	..........	..........	PUNCT
ejpam-4416	1437	1	..........	..........	PUNCT
ejpam-4416	1437	2	..........	..........	PUNCT
ejpam-4416	1438	1	..........	..........	PUNCT
ejpam-4416	1438	2	..........	..........	PUNCT
ejpam-4416	1439	1	..........	..........	PUNCT
ejpam-4416	1439	2	..........	..........	PUNCT
ejpam-4416	1440	1	..........	..........	PUNCT
ejpam-4416	1440	2	..........	..........	PUNCT
ejpam-4416	1441	1	..........	..........	PUNCT
ejpam-4416	1441	2	..........	..........	PUNCT
ejpam-4416	1442	1	..........	..........	PUNCT
ejpam-4416	1442	2	..........	..........	PUNCT
ejpam-4416	1443	1	..........	..........	PUNCT
ejpam-4416	1443	2	..........	..........	PUNCT
ejpam-4416	1444	1	..........	..........	PUNCT
ejpam-4416	1444	2	..........	..........	PUNCT
ejpam-4416	1445	1	..........	..........	PUNCT
ejpam-4416	1445	2	..........	..........	PUNCT
ejpam-4416	1446	1	..	..	PUNCT
ejpam-4416	1446	2	.........	.........	PUNCT
ejpam-4416	1446	3	........	........	PUNCT
ejpam-4416	1446	4	........	........	PUNCT
ejpam-4416	1446	5	........	........	PUNCT
ejpam-4416	1446	6	........	........	PUNCT
ejpam-4416	1446	7	........	........	PUNCT
ejpam-4416	1446	8	........	........	PUNCT
ejpam-4416	1446	9	........	........	PUNCT
ejpam-4416	1446	10	........	........	PUNCT
ejpam-4416	1446	11	........	........	PUNCT
ejpam-4416	1446	12	........	........	PUNCT
ejpam-4416	1446	13	........	........	PUNCT
ejpam-4416	1446	14	........	........	PUNCT
ejpam-4416	1446	15	........	........	PUNCT
ejpam-4416	1446	16	........	........	PUNCT
ejpam-4416	1446	17	........	........	PUNCT
ejpam-4416	1446	18	........	........	PUNCT
ejpam-4416	1446	19	........	........	PUNCT
ejpam-4416	1446	20	........	........	PUNCT
ejpam-4416	1446	21	........	........	PUNCT
ejpam-4416	1446	22	........	........	PUNCT
ejpam-4416	1446	23	........	........	PUNCT
ejpam-4416	1446	24	........	........	PUNCT
ejpam-4416	1446	25	........	........	PUNCT
ejpam-4416	1446	26	.......	.......	PUNCT
ejpam-4416	1446	27	........................................................................................................................................................................................................	........................................................................................................................................................................................................	PUNCT
ejpam-4416	1446	28	...........................................................................................................................................................................................................	...........................................................................................................................................................................................................	PUNCT
ejpam-4416	1447	1	..................................................................................................................................................................................................	..................................................................................................................................................................................................	PUNCT
ejpam-4416	1447	2	............................................	............................................	PUNCT
ejpam-4416	1448	1	............................................	............................................	PUNCT
ejpam-4416	1448	2	..............................................	..............................................	PUNCT
ejpam-4416	1448	3	..............................................	..............................................	PUNCT
ejpam-4416	1448	4	...........	...........	PUNCT
ejpam-4416	1448	5	..........	..........	PUNCT
ejpam-4416	1449	1	..........	..........	PUNCT
ejpam-4416	1449	2	..........	..........	PUNCT
ejpam-4416	1449	3	...	...	PUNCT
ejpam-4416	1449	4	...........	...........	PUNCT
ejpam-4416	1450	1	..........	..........	PUNCT
ejpam-4416	1450	2	..........	..........	PUNCT
ejpam-4416	1451	1	..........	..........	PUNCT
ejpam-4416	1451	2	.....................................................................................................................................................................................................................................	.....................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1452	1	................................................................................................................................................................................................................................................................................................................................................	................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1452	2	...........................................................................................................................................................................................................................................................................................................................................................................................................................................	...........................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1453	1	...........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	...........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1453	2	............................................................................................................	............................................................................................................	PUNCT
ejpam-4416	1454	1	........................................................................................................................................................................................................................................	........................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1454	2	..........................................................................................................................................................................................................................................................................................................................................................................................	..........................................................................................................................................................................................................................................................................................................................................................................................	PUNCT
ejpam-4416	1455	1	..................................	..................................	PUNCT
ejpam-4416	1455	2	..................................	..................................	PUNCT
ejpam-4416	1455	3	..................................	..................................	PUNCT
ejpam-4416	1455	4	..................................	..................................	PUNCT
ejpam-4416	1455	5	..................................	..................................	PUNCT
ejpam-4416	1455	6	..................................	..................................	PUNCT
ejpam-4416	1455	7	..................................	..................................	PUNCT
ejpam-4416	1455	8	..................................	..................................	PUNCT
ejpam-4416	1455	9	..................................	..................................	PUNCT
ejpam-4416	1455	10	..................................	..................................	PUNCT
ejpam-4416	1455	11	..................................	..................................	PUNCT
ejpam-4416	1455	12	..................	..................	PUNCT
ejpam-4416	1455	13	.......................................	.......................................	PUNCT
ejpam-4416	1455	14	......................................	......................................	PUNCT
ejpam-4416	1455	15	......................................	......................................	PUNCT
ejpam-4416	1455	16	......................................	......................................	PUNCT
ejpam-4416	1455	17	......................................	......................................	PUNCT
ejpam-4416	1455	18	......................................	......................................	PUNCT
ejpam-4416	1455	19	...	...	PUNCT
ejpam-4416	1456	1	...................	...................	PUNCT
ejpam-4416	1456	2	..................	..................	PUNCT
ejpam-4416	1457	1	..................	..................	PUNCT
ejpam-4416	1457	2	..................	..................	PUNCT
ejpam-4416	1458	1	..................	..................	PUNCT
ejpam-4416	1458	2	..................	..................	PUNCT
ejpam-4416	1459	1	..................	..................	PUNCT
ejpam-4416	1459	2	..................	..................	PUNCT
ejpam-4416	1460	1	..................	..................	PUNCT
ejpam-4416	1460	2	..................	..................	PUNCT
ejpam-4416	1461	1	..................	..................	PUNCT
ejpam-4416	1461	2	..................	..................	PUNCT
ejpam-4416	1462	1	..................	..................	PUNCT
ejpam-4416	1462	2	..................	..................	PUNCT
ejpam-4416	1463	1	..................	..................	PUNCT
ejpam-4416	1463	2	..................	..................	PUNCT
ejpam-4416	1464	1	..................	..................	PUNCT
ejpam-4416	1464	2	..................	..................	PUNCT
ejpam-4416	1464	3	...........	...........	PUNCT
ejpam-4416	1464	4	.....................	.....................	PUNCT
ejpam-4416	1464	5	....................	....................	PUNCT
ejpam-4416	1464	6	....................	....................	PUNCT
ejpam-4416	1464	7	....................	....................	PUNCT
ejpam-4416	1464	8	....................	....................	PUNCT
ejpam-4416	1464	9	.......	.......	PUNCT
ejpam-4416	1465	1	..............	..............	PUNCT
ejpam-4416	1465	2	.............	.............	PUNCT
ejpam-4416	1465	3	.............	.............	PUNCT
ejpam-4416	1465	4	.............	.............	PUNCT
ejpam-4416	1465	5	.............	.............	PUNCT
ejpam-4416	1465	6	.............	.............	PUNCT
ejpam-4416	1465	7	.............	.............	PUNCT
ejpam-4416	1465	8	.............	.............	PUNCT
ejpam-4416	1465	9	.............	.............	PUNCT
ejpam-4416	1465	10	.............	.............	PUNCT
ejpam-4416	1465	11	.............	.............	PUNCT
ejpam-4416	1465	12	.............	.............	PUNCT
ejpam-4416	1465	13	.............	.............	PUNCT
ejpam-4416	1465	14	.............	.............	PUNCT
ejpam-4416	1465	15	.............	.............	PUNCT
ejpam-4416	1465	16	.............	.............	PUNCT
ejpam-4416	1465	17	.............	.............	PUNCT
ejpam-4416	1466	1	....	....	PUNCT
ejpam-4416	1466	2	v0	v0	NOUN
ejpam-4416	1466	3	v1	v1	NOUN
ejpam-4416	1466	4	v2	v2	PROPN
ejpam-4416	1467	1	v3v4	v3v4	PUNCT
ejpam-4416	1467	2	v5	v5	PROPN
ejpam-4416	1467	3	v6	v6	NOUN
ejpam-4416	1467	4	figure	figure	NOUN
ejpam-4416	1467	5	10	10	NUM
ejpam-4416	1467	6	:	:	PUNCT
ejpam-4416	1467	7	the	the	DET
ejpam-4416	1467	8	central	central	ADJ
ejpam-4416	1467	9	graph	graph	NOUN
ejpam-4416	1467	10	of	of	ADP
ejpam-4416	1467	11	γc7	γc7	NOUN
ejpam-4416	1467	12	.	.	PUNCT
ejpam-4416	1468	1	c.	c.	PROPN
ejpam-4416	1468	2	alib	alib	PROPN
ejpam-4416	1468	3	,	,	PUNCT
ejpam-4416	1468	4	d.	d.	PROPN
ejpam-4416	1468	5	magpantay	magpantay	PROPN
ejpam-4416	1468	6	/	/	SYM
ejpam-4416	1468	7	eur	eur	PROPN
ejpam-4416	1468	8	.	.	PUNCT
ejpam-4416	1469	1	j.	j.	PROPN
ejpam-4416	1469	2	pure	pure	PROPN
ejpam-4416	1469	3	appl	appl	PROPN
ejpam-4416	1469	4	.	.	PROPN
ejpam-4416	1469	5	math	math	PROPN
ejpam-4416	1469	6	,	,	PUNCT
ejpam-4416	1469	7	15	15	NUM
ejpam-4416	1469	8	(	(	PUNCT
ejpam-4416	1469	9	3	3	NUM
ejpam-4416	1469	10	)	)	PUNCT
ejpam-4416	1469	11	(	(	PUNCT
ejpam-4416	1469	12	2022	2022	NUM
ejpam-4416	1469	13	)	)	PUNCT
ejpam-4416	1469	14	,	,	PUNCT
ejpam-4416	1469	15	1098	1098	NUM
ejpam-4416	1469	16	-	-	SYM
ejpam-4416	1469	17	1112	1112	NUM
ejpam-4416	1469	18	1110	1110	NUM
ejpam-4416	1469	19	illustration	illustration	NOUN
ejpam-4416	1469	20	6	6	NUM
ejpam-4416	1469	21	.	.	PUNCT
ejpam-4416	1470	1	for	for	ADP
ejpam-4416	1470	2	the	the	DET
ejpam-4416	1470	3	central	central	ADJ
ejpam-4416	1470	4	graph	graph	NOUN
ejpam-4416	1470	5	of	of	ADP
ejpam-4416	1470	6	γc7	γc7	NOUN
ejpam-4416	1470	7	of	of	ADP
ejpam-4416	1470	8	figure	figure	NOUN
ejpam-4416	1470	9	10	10	NUM
ejpam-4416	1470	10	,	,	PUNCT
ejpam-4416	1470	11	the	the	DET
ejpam-4416	1470	12	eccentricities	eccentricity	NOUN
ejpam-4416	1470	13	of	of	ADP
ejpam-4416	1470	14	all	all	DET
ejpam-4416	1470	15	the	the	DET
ejpam-4416	1470	16	vertices	vertex	NOUN
ejpam-4416	1470	17	of	of	ADP
ejpam-4416	1470	18	c(γc7	c(γc7	NOUN
ejpam-4416	1470	19	)	)	PUNCT
ejpam-4416	1470	20	are	be	AUX
ejpam-4416	1470	21	all	all	DET
ejpam-4416	1470	22	the	the	DET
ejpam-4416	1470	23	same	same	ADJ
ejpam-4416	1470	24	.	.	PUNCT
ejpam-4416	1471	1	thus	thus	ADV
ejpam-4416	1471	2	,	,	PUNCT
ejpam-4416	1471	3	all	all	DET
ejpam-4416	1471	4	the	the	DET
ejpam-4416	1471	5	vertices	vertex	NOUN
ejpam-4416	1471	6	are	be	AUX
ejpam-4416	1471	7	central	central	ADJ
ejpam-4416	1471	8	vertices	vertex	NOUN
ejpam-4416	1471	9	of	of	ADP
ejpam-4416	1471	10	c(γc7	c(γc7	NOUN
ejpam-4416	1471	11	)	)	PUNCT
ejpam-4416	1471	12	.	.	PUNCT
ejpam-4416	1472	1	therefore	therefore	ADV
ejpam-4416	1472	2	,	,	PUNCT
ejpam-4416	1472	3	the	the	DET
ejpam-4416	1472	4	center	center	NOUN
ejpam-4416	1472	5	of	of	ADP
ejpam-4416	1472	6	c(γc7	c(γc7	NOUN
ejpam-4416	1472	7	)	)	PUNCT
ejpam-4416	1472	8	is	be	AUX
ejpam-4416	1472	9	c(γc7	c(γc7	NOUN
ejpam-4416	1472	10	)	)	PUNCT
ejpam-4416	1472	11	itself	itself	PRON
ejpam-4416	1472	12	.	.	PUNCT
ejpam-4416	1473	1	proposition	proposition	NOUN
ejpam-4416	1473	2	8	8	NUM
ejpam-4416	1473	3	.	.	PUNCT
ejpam-4416	1474	1	all	all	DET
ejpam-4416	1474	2	vertices	vertex	NOUN
ejpam-4416	1474	3	of	of	ADP
ejpam-4416	1474	4	c(γcn	c(γcn	NOUN
ejpam-4416	1474	5	)	)	PUNCT
ejpam-4416	1474	6	(	(	PUNCT
ejpam-4416	1474	7	odd	odd	ADJ
ejpam-4416	1474	8	integer	integer	NOUN
ejpam-4416	1474	9	n	n	PRON
ejpam-4416	1474	10	≥	≥	NOUN
ejpam-4416	1474	11	3	3	NUM
ejpam-4416	1474	12	)	)	PUNCT
ejpam-4416	1474	13	are	be	AUX
ejpam-4416	1474	14	peripheral	peripheral	ADJ
ejpam-4416	1474	15	vertices	vertex	NOUN
ejpam-4416	1474	16	.	.	PUNCT
ejpam-4416	1475	1	proof	proof	NOUN
ejpam-4416	1475	2	.	.	PUNCT
ejpam-4416	1476	1	proposition	proposition	NOUN
ejpam-4416	1476	2	5-(i	5-(i	NUM
ejpam-4416	1476	3	)	)	PUNCT
ejpam-4416	1476	4	tells	tell	VERB
ejpam-4416	1476	5	us	we	PRON
ejpam-4416	1476	6	that	that	SCONJ
ejpam-4416	1476	7	for	for	ADP
ejpam-4416	1476	8	all	all	DET
ejpam-4416	1476	9	v	v	ADP
ejpam-4416	1476	10	∈	∈	NOUN
ejpam-4416	1476	11	v	v	NOUN
ejpam-4416	1476	12	(	(	PUNCT
ejpam-4416	1476	13	c(γcn	c(γcn	PROPN
ejpam-4416	1476	14	)	)	PUNCT
ejpam-4416	1476	15	)	)	PUNCT
ejpam-4416	1476	16	,	,	PUNCT
ejpam-4416	1476	17	diam(c(γcn	diam(c(γcn	PROPN
ejpam-4416	1476	18	)	)	PUNCT
ejpam-4416	1476	19	)	)	PUNCT
ejpam-4416	1477	1	=	=	SYM
ejpam-4416	1477	2	3	3	NUM
ejpam-4416	1477	3	=	=	SYM
ejpam-4416	1477	4	e(v	e(v	NOUN
ejpam-4416	1477	5	)	)	PUNCT
ejpam-4416	1477	6	.	.	PUNCT
ejpam-4416	1478	1	therefore	therefore	ADV
ejpam-4416	1478	2	,	,	PUNCT
ejpam-4416	1478	3	by	by	ADP
ejpam-4416	1478	4	definition	definition	NOUN
ejpam-4416	1478	5	of	of	ADP
ejpam-4416	1478	6	peripheral	peripheral	ADJ
ejpam-4416	1478	7	vertex	vertex	NOUN
ejpam-4416	1478	8	of	of	ADP
ejpam-4416	1478	9	a	a	DET
ejpam-4416	1478	10	graph	graph	NOUN
ejpam-4416	1478	11	,	,	PUNCT
ejpam-4416	1478	12	all	all	PRON
ejpam-4416	1478	13	vertices	vertice	VERB
ejpam-4416	1478	14	v	v	ADP
ejpam-4416	1478	15	∈	∈	PROPN
ejpam-4416	1478	16	v	v	NOUN
ejpam-4416	1478	17	(	(	PUNCT
ejpam-4416	1478	18	c(γcn	c(γcn	PROPN
ejpam-4416	1478	19	)	)	PUNCT
ejpam-4416	1478	20	)	)	PUNCT
ejpam-4416	1478	21	are	be	AUX
ejpam-4416	1478	22	peripheral	peripheral	ADJ
ejpam-4416	1478	23	vertices	vertex	NOUN
ejpam-4416	1478	24	.	.	PUNCT
ejpam-4416	1479	1	proposition	proposition	NOUN
ejpam-4416	1479	2	9	9	NUM
ejpam-4416	1479	3	.	.	PUNCT
ejpam-4416	1480	1	let	let	AUX
ejpam-4416	1480	2	c(γcn	c(γcn	PROPN
ejpam-4416	1480	3	)	)	PUNCT
ejpam-4416	1480	4	be	be	VERB
ejpam-4416	1480	5	the	the	DET
ejpam-4416	1480	6	central	central	ADJ
ejpam-4416	1480	7	graph	graph	NOUN
ejpam-4416	1480	8	of	of	ADP
ejpam-4416	1480	9	γcn	γcn	PROPN
ejpam-4416	1480	10	(	(	PUNCT
ejpam-4416	1480	11	even	even	ADV
ejpam-4416	1480	12	integer	integer	VERB
ejpam-4416	1480	13	n	n	PRON
ejpam-4416	1480	14	≥	≥	NOUN
ejpam-4416	1480	15	4	4	NUM
ejpam-4416	1480	16	)	)	PUNCT
ejpam-4416	1480	17	.	.	PUNCT
ejpam-4416	1481	1	the	the	DET
ejpam-4416	1481	2	set	set	NOUN
ejpam-4416	1481	3	of	of	ADP
ejpam-4416	1481	4	vertices	vertex	NOUN
ejpam-4416	1481	5	a	a	DET
ejpam-4416	1481	6	=	=	X
ejpam-4416	1481	7	{	{	PUNCT
ejpam-4416	1481	8	vi	vi	NOUN
ejpam-4416	1481	9	:	:	SYM
ejpam-4416	1481	10	0	0	NUM
ejpam-4416	1481	11	≤	≤	NUM
ejpam-4416	1481	12	i	i	PRON
ejpam-4416	1481	13	≤	≤	NOUN
ejpam-4416	1481	14	(	(	PUNCT
ejpam-4416	1481	15	n−2	n−2	PROPN
ejpam-4416	1481	16	)	)	PUNCT
ejpam-4416	1481	17	}	}	PUNCT
ejpam-4416	1481	18	⋃	⋃	ADP
ejpam-4416	1481	19	{	{	PUNCT
ejpam-4416	1481	20	c0i	c0i	NOUN
ejpam-4416	1481	21	:	:	PUNCT
ejpam-4416	1481	22	1	1	NUM
ejpam-4416	1481	23	≤	≤	NUM
ejpam-4416	1481	24	i	i	PRON
ejpam-4416	1481	25	≤	≤	NOUN
ejpam-4416	1481	26	(	(	PUNCT
ejpam-4416	1481	27	n−1	n−1	PROPN
ejpam-4416	1481	28	)	)	PUNCT
ejpam-4416	1481	29	}	}	PUNCT
ejpam-4416	1481	30	⋃	⋃	NOUN
ejpam-4416	1481	31	{	{	PUNCT
ejpam-4416	1481	32	c(2i−1)(2i	c(2i−1)(2i	NOUN
ejpam-4416	1481	33	)	)	PUNCT
ejpam-4416	1481	34	:	:	PUNCT
ejpam-4416	1481	35	1	1	NUM
ejpam-4416	1481	36	≤	≤	NUM
ejpam-4416	1481	37	i	i	PRON
ejpam-4416	1481	38	≤	≤	ADJ
ejpam-4416	1481	39	n−2	n−2	PROPN
ejpam-4416	1481	40	2	2	NUM
ejpam-4416	1481	41	}	}	PUNCT
ejpam-4416	1481	42	are	be	AUX
ejpam-4416	1481	43	peripheral	peripheral	ADJ
ejpam-4416	1481	44	vertices	vertex	NOUN
ejpam-4416	1481	45	of	of	ADP
ejpam-4416	1481	46	c(γcn	c(γcn	PROPN
ejpam-4416	1481	47	)	)	PUNCT
ejpam-4416	1481	48	.	.	PUNCT
ejpam-4416	1482	1	proof	proof	NOUN
ejpam-4416	1482	2	.	.	PUNCT
ejpam-4416	1483	1	the	the	DET
ejpam-4416	1483	2	proof	proof	NOUN
ejpam-4416	1483	3	follows	follow	VERB
ejpam-4416	1483	4	from	from	ADP
ejpam-4416	1483	5	propositions	proposition	NOUN
ejpam-4416	1483	6	4-(ii	4-(ii	NUM
ejpam-4416	1483	7	)	)	PUNCT
ejpam-4416	1483	8	and	and	CCONJ
ejpam-4416	1483	9	5-(ii	5-(ii	NUM
ejpam-4416	1483	10	)	)	PUNCT
ejpam-4416	1483	11	,	,	PUNCT
ejpam-4416	1483	12	respectively	respectively	ADV
ejpam-4416	1483	13	.	.	PUNCT
ejpam-4416	1484	1	proposition	proposition	NOUN
ejpam-4416	1484	2	10	10	NUM
ejpam-4416	1484	3	.	.	PUNCT
ejpam-4416	1485	1	for	for	ADP
ejpam-4416	1485	2	any	any	DET
ejpam-4416	1485	3	odd	odd	ADJ
ejpam-4416	1485	4	integer	integer	NOUN
ejpam-4416	1485	5	n	n	PRON
ejpam-4416	1485	6	≥	≥	NOUN
ejpam-4416	1485	7	3	3	NUM
ejpam-4416	1485	8	,	,	PUNCT
ejpam-4416	1485	9	per(c(γcn	per(c(γcn	NUM
ejpam-4416	1485	10	)	)	PUNCT
ejpam-4416	1485	11	)	)	PUNCT
ejpam-4416	1486	1	=	=	SYM
ejpam-4416	1486	2	c(γcn	c(γcn	PROPN
ejpam-4416	1486	3	)	)	PUNCT
ejpam-4416	1486	4	.	.	PUNCT
ejpam-4416	1487	1	proof	proof	NOUN
ejpam-4416	1487	2	.	.	PUNCT
ejpam-4416	1488	1	by	by	ADP
ejpam-4416	1488	2	proposition	proposition	NOUN
ejpam-4416	1488	3	7	7	NUM
ejpam-4416	1488	4	,	,	PUNCT
ejpam-4416	1488	5	if	if	SCONJ
ejpam-4416	1488	6	n	n	PRON
ejpam-4416	1488	7	is	be	AUX
ejpam-4416	1488	8	odd	odd	ADJ
ejpam-4416	1488	9	,	,	PUNCT
ejpam-4416	1488	10	v	v	NOUN
ejpam-4416	1488	11	(	(	PUNCT
ejpam-4416	1488	12	c(γcn	c(γcn	PROPN
ejpam-4416	1488	13	)	)	PUNCT
ejpam-4416	1488	14	)	)	PUNCT
ejpam-4416	1488	15	is	be	AUX
ejpam-4416	1488	16	the	the	DET
ejpam-4416	1488	17	set	set	NOUN
ejpam-4416	1488	18	of	of	ADP
ejpam-4416	1488	19	peripheral	peripheral	ADJ
ejpam-4416	1488	20	vertices	vertex	NOUN
ejpam-4416	1488	21	of	of	ADP
ejpam-4416	1488	22	c(γcn	c(γcn	PROPN
ejpam-4416	1488	23	)	)	PUNCT
ejpam-4416	1488	24	.	.	PUNCT
ejpam-4416	1489	1	therefore	therefore	ADV
ejpam-4416	1489	2	,	,	PUNCT
ejpam-4416	1489	3	per(c(γcn	per(c(γcn	NUM
ejpam-4416	1489	4	)	)	PUNCT
ejpam-4416	1489	5	)	)	PUNCT
ejpam-4416	1490	1	=	=	SYM
ejpam-4416	1490	2	c(γcn	c(γcn	PROPN
ejpam-4416	1490	3	)	)	PUNCT
ejpam-4416	1490	4	.	.	PUNCT
ejpam-4416	1491	1	proposition	proposition	NOUN
ejpam-4416	1491	2	11	11	NUM
ejpam-4416	1491	3	.	.	PUNCT
ejpam-4416	1492	1	let	let	VERB
ejpam-4416	1492	2	c(γcn	c(γcn	PROPN
ejpam-4416	1492	3	)	)	PUNCT
ejpam-4416	1492	4	(	(	PUNCT
ejpam-4416	1492	5	even	even	ADV
ejpam-4416	1492	6	integer	integer	PROPN
ejpam-4416	1492	7	n	n	PRON
ejpam-4416	1492	8	≥	≥	NOUN
ejpam-4416	1492	9	4	4	NUM
ejpam-4416	1492	10	)	)	PUNCT
ejpam-4416	1492	11	with	with	ADP
ejpam-4416	1492	12	the	the	DET
ejpam-4416	1492	13	vertex	vertex	NOUN
ejpam-4416	1492	14	set	set	VERB
ejpam-4416	1492	15	v	v	NOUN
ejpam-4416	1492	16	(	(	PUNCT
ejpam-4416	1492	17	c(γcn	c(γcn	PROPN
ejpam-4416	1492	18	)	)	PUNCT
ejpam-4416	1492	19	)	)	PUNCT
ejpam-4416	1493	1	=	=	PRON
ejpam-4416	1493	2	{	{	PUNCT
ejpam-4416	1493	3	v0	v0	PROPN
ejpam-4416	1493	4	,	,	PUNCT
ejpam-4416	1493	5	vi	vi	PROPN
ejpam-4416	1493	6	,	,	PUNCT
ejpam-4416	1493	7	c0i	c0i	NOUN
ejpam-4416	1493	8	:	:	PUNCT
ejpam-4416	1493	9	1	1	NUM
ejpam-4416	1493	10	≤	≤	NUM
ejpam-4416	1494	1	i	i	PRON
ejpam-4416	1494	2	≤	≤	NOUN
ejpam-4416	1494	3	(	(	PUNCT
ejpam-4416	1494	4	n−1	n−1	PROPN
ejpam-4416	1494	5	)	)	PUNCT
ejpam-4416	1494	6	,	,	PUNCT
ejpam-4416	1494	7	c(2i−1)(2i	c(2i−1)(2i	PROPN
ejpam-4416	1494	8	)	)	PUNCT
ejpam-4416	1494	9	:	:	PUNCT
ejpam-4416	1494	10	1	1	NUM
ejpam-4416	1494	11	≤	≤	NUM
ejpam-4416	1494	12	i	i	PRON
ejpam-4416	1494	13	≤	≤	ADJ
ejpam-4416	1494	14	n−2	n−2	PROPN
ejpam-4416	1494	15	2	2	NUM
ejpam-4416	1494	16	}	}	PUNCT
ejpam-4416	1494	17	.	.	PUNCT
ejpam-4416	1495	1	take	take	VERB
ejpam-4416	1495	2	k	k	NOUN
ejpam-4416	1495	3	=	=	PUNCT
ejpam-4416	1495	4	{	{	PUNCT
ejpam-4416	1495	5	vn−1	vn−1	PROPN
ejpam-4416	1495	6	}	}	PUNCT
ejpam-4416	1495	7	.	.	PUNCT
ejpam-4416	1496	1	the	the	DET
ejpam-4416	1496	2	subgraph	subgraph	NOUN
ejpam-4416	1496	3	c(γcn)\k	c(γcn)\k	PROPN
ejpam-4416	1496	4	of	of	ADP
ejpam-4416	1496	5	c(γcn	c(γcn	PROPN
ejpam-4416	1496	6	)	)	PUNCT
ejpam-4416	1496	7	is	be	AUX
ejpam-4416	1496	8	the	the	DET
ejpam-4416	1496	9	periphery	periphery	NOUN
ejpam-4416	1496	10	of	of	ADP
ejpam-4416	1496	11	c(γcn	c(γcn	PROPN
ejpam-4416	1496	12	)	)	PUNCT
ejpam-4416	1496	13	.	.	PUNCT
ejpam-4416	1497	1	proof	proof	NOUN
ejpam-4416	1497	2	.	.	PUNCT
ejpam-4416	1498	1	the	the	DET
ejpam-4416	1498	2	proof	proof	NOUN
ejpam-4416	1498	3	follows	follow	VERB
ejpam-4416	1498	4	from	from	ADP
ejpam-4416	1498	5	proposition	proposition	NOUN
ejpam-4416	1498	6	4-(ii	4-(ii	NUM
ejpam-4416	1498	7	)	)	PUNCT
ejpam-4416	1498	8	and	and	CCONJ
ejpam-4416	1498	9	proposition	proposition	NOUN
ejpam-4416	1498	10	8	8	NUM
ejpam-4416	1498	11	.	.	PUNCT
ejpam-4416	1499	1	proposition	proposition	NOUN
ejpam-4416	1499	2	12	12	NUM
ejpam-4416	1499	3	.	.	PUNCT
ejpam-4416	1500	1	the	the	DET
ejpam-4416	1500	2	graph	graph	NOUN
ejpam-4416	1500	3	c(γcn	c(γcn	PROPN
ejpam-4416	1500	4	)	)	PUNCT
ejpam-4416	1500	5	is	be	AUX
ejpam-4416	1500	6	an	an	DET
ejpam-4416	1500	7	eccentric	eccentric	ADJ
ejpam-4416	1500	8	graph	graph	NOUN
ejpam-4416	1500	9	if	if	SCONJ
ejpam-4416	1500	10	and	and	CCONJ
ejpam-4416	1500	11	only	only	ADV
ejpam-4416	1500	12	if	if	SCONJ
ejpam-4416	1500	13	n	n	PRON
ejpam-4416	1500	14	is	be	AUX
ejpam-4416	1500	15	odd	odd	ADJ
ejpam-4416	1500	16	.	.	PUNCT
ejpam-4416	1501	1	proof	proof	NOUN
ejpam-4416	1501	2	.	.	PUNCT
ejpam-4416	1502	1	let	let	VERB
ejpam-4416	1502	2	c(γcn	c(γcn	PROPN
ejpam-4416	1502	3	)	)	PUNCT
ejpam-4416	1502	4	be	be	VERB
ejpam-4416	1502	5	the	the	DET
ejpam-4416	1502	6	central	central	ADJ
ejpam-4416	1502	7	graph	graph	NOUN
ejpam-4416	1502	8	of	of	ADP
ejpam-4416	1502	9	γcn	γcn	PROPN
ejpam-4416	1502	10	where	where	SCONJ
ejpam-4416	1502	11	n	n	PRON
ejpam-4416	1502	12	is	be	AUX
ejpam-4416	1502	13	odd	odd	ADJ
ejpam-4416	1502	14	.	.	PUNCT
ejpam-4416	1503	1	then	then	ADV
ejpam-4416	1503	2	,	,	PUNCT
ejpam-4416	1503	3	c(γcn	c(γcn	PROPN
ejpam-4416	1503	4	)	)	PUNCT
ejpam-4416	1503	5	is	be	AUX
ejpam-4416	1503	6	an	an	DET
ejpam-4416	1503	7	eccentric	eccentric	ADJ
ejpam-4416	1503	8	graph	graph	NOUN
ejpam-4416	1503	9	since	since	SCONJ
ejpam-4416	1503	10	every	every	DET
ejpam-4416	1503	11	vertex	vertex	NOUN
ejpam-4416	1503	12	of	of	ADP
ejpam-4416	1503	13	c(γcn	c(γcn	PROPN
ejpam-4416	1503	14	)	)	PUNCT
ejpam-4416	1503	15	is	be	AUX
ejpam-4416	1503	16	a	a	DET
ejpam-4416	1503	17	peripheral	peripheral	ADJ
ejpam-4416	1503	18	vertex	vertex	NOUN
ejpam-4416	1503	19	and	and	CCONJ
ejpam-4416	1503	20	so	so	ADV
ejpam-4416	1503	21	is	be	AUX
ejpam-4416	1503	22	an	an	DET
ejpam-4416	1503	23	eccentric	eccentric	ADJ
ejpam-4416	1503	24	vertex	vertex	NOUN
ejpam-4416	1503	25	of	of	ADP
ejpam-4416	1503	26	the	the	DET
ejpam-4416	1503	27	other	other	ADJ
ejpam-4416	1503	28	in	in	ADP
ejpam-4416	1503	29	c(γcn	c(γcn	PROPN
ejpam-4416	1503	30	)	)	PUNCT
ejpam-4416	1503	31	.	.	PUNCT
ejpam-4416	1504	1	conversely	conversely	ADV
ejpam-4416	1504	2	,	,	PUNCT
ejpam-4416	1504	3	let	let	VERB
ejpam-4416	1504	4	c(γcn	c(γcn	PROPN
ejpam-4416	1504	5	)	)	PUNCT
ejpam-4416	1504	6	be	be	AUX
ejpam-4416	1504	7	an	an	DET
ejpam-4416	1504	8	eccentric	eccentric	ADJ
ejpam-4416	1504	9	graph	graph	NOUN
ejpam-4416	1504	10	.	.	PUNCT
ejpam-4416	1505	1	thus	thus	ADV
ejpam-4416	1505	2	,	,	PUNCT
ejpam-4416	1505	3	every	every	DET
ejpam-4416	1505	4	vertex	vertex	NOUN
ejpam-4416	1505	5	of	of	ADP
ejpam-4416	1505	6	c(γcn	c(γcn	PROPN
ejpam-4416	1505	7	)	)	PUNCT
ejpam-4416	1505	8	is	be	AUX
ejpam-4416	1505	9	an	an	DET
ejpam-4416	1505	10	eccentric	eccentric	ADJ
ejpam-4416	1505	11	vertex	vertex	NOUN
ejpam-4416	1505	12	of	of	ADP
ejpam-4416	1505	13	the	the	DET
ejpam-4416	1505	14	other	other	ADJ
ejpam-4416	1505	15	.	.	PUNCT
ejpam-4416	1506	1	there	there	PRON
ejpam-4416	1506	2	are	be	VERB
ejpam-4416	1506	3	only	only	ADV
ejpam-4416	1506	4	two	two	NUM
ejpam-4416	1506	5	cases	case	NOUN
ejpam-4416	1506	6	for	for	ADP
ejpam-4416	1506	7	n.	n.	NOUN
ejpam-4416	1506	8	for	for	ADP
ejpam-4416	1506	9	the	the	DET
ejpam-4416	1506	10	case	case	NOUN
ejpam-4416	1506	11	that	that	SCONJ
ejpam-4416	1506	12	n	n	X
ejpam-4416	1506	13	is	be	AUX
ejpam-4416	1506	14	even	even	ADV
ejpam-4416	1506	15	,	,	PUNCT
ejpam-4416	1506	16	vn−1	vn−1	PROPN
ejpam-4416	1506	17	∈	∈	PROPN
ejpam-4416	1506	18	v	v	NOUN
ejpam-4416	1506	19	(	(	PUNCT
ejpam-4416	1506	20	c(γcn	c(γcn	PROPN
ejpam-4416	1506	21	)	)	PUNCT
ejpam-4416	1506	22	)	)	PUNCT
ejpam-4416	1506	23	is	be	AUX
ejpam-4416	1506	24	not	not	PART
ejpam-4416	1506	25	an	an	DET
ejpam-4416	1506	26	eccentric	eccentric	ADJ
ejpam-4416	1506	27	vertex	vertex	NOUN
ejpam-4416	1506	28	of	of	ADP
ejpam-4416	1506	29	any	any	DET
ejpam-4416	1506	30	other	other	ADJ
ejpam-4416	1506	31	vertex	vertex	NOUN
ejpam-4416	1506	32	of	of	ADP
ejpam-4416	1506	33	c(γcn	c(γcn	PROPN
ejpam-4416	1506	34	)	)	PUNCT
ejpam-4416	1506	35	and	and	CCONJ
ejpam-4416	1506	36	thus	thus	ADV
ejpam-4416	1506	37	c(γcn	c(γcn	PROPN
ejpam-4416	1506	38	)	)	PUNCT
ejpam-4416	1506	39	for	for	ADP
ejpam-4416	1506	40	even	even	ADV
ejpam-4416	1506	41	n	n	PRON
ejpam-4416	1506	42	is	be	AUX
ejpam-4416	1506	43	not	not	PART
ejpam-4416	1506	44	an	an	DET
ejpam-4416	1506	45	eccentric	eccentric	ADJ
ejpam-4416	1506	46	graph	graph	NOUN
ejpam-4416	1506	47	.	.	PUNCT
ejpam-4416	1507	1	so	so	ADV
ejpam-4416	1507	2	n	n	PRON
ejpam-4416	1507	3	must	must	AUX
ejpam-4416	1507	4	be	be	AUX
ejpam-4416	1507	5	odd	odd	ADJ
ejpam-4416	1507	6	since	since	SCONJ
ejpam-4416	1507	7	in	in	ADP
ejpam-4416	1507	8	this	this	DET
ejpam-4416	1507	9	case	case	NOUN
ejpam-4416	1507	10	every	every	DET
ejpam-4416	1507	11	vertex	vertex	NOUN
ejpam-4416	1507	12	is	be	AUX
ejpam-4416	1507	13	an	an	DET
ejpam-4416	1507	14	eccentric	eccentric	ADJ
ejpam-4416	1507	15	vertex	vertex	NOUN
ejpam-4416	1507	16	of	of	ADP
ejpam-4416	1507	17	the	the	DET
ejpam-4416	1507	18	other	other	ADJ
ejpam-4416	1507	19	.	.	PUNCT
ejpam-4416	1508	1	proposition	proposition	NOUN
ejpam-4416	1508	2	13	13	NUM
ejpam-4416	1508	3	.	.	PUNCT
ejpam-4416	1509	1	the	the	DET
ejpam-4416	1509	2	girth	girth	NOUN
ejpam-4416	1509	3	of	of	ADP
ejpam-4416	1509	4	c(γcn	c(γcn	PROPN
ejpam-4416	1509	5	)	)	PUNCT
ejpam-4416	1509	6	is	be	AUX
ejpam-4416	1509	7	gir(c(γcn	gir(c(γcn	PROPN
ejpam-4416	1509	8	)	)	PUNCT
ejpam-4416	1509	9	)	)	PUNCT
ejpam-4416	1510	1	=	=	PUNCT
ejpam-4416	1510	2			PUNCT
ejpam-4416	1510	3	6	6	NUM
ejpam-4416	1510	4	,	,	PUNCT
ejpam-4416	1510	5	if	if	SCONJ
ejpam-4416	1510	6	n	n	NOUN
ejpam-4416	1510	7	=	=	SYM
ejpam-4416	1510	8	3	3	NUM
ejpam-4416	1510	9	4	4	NUM
ejpam-4416	1510	10	,	,	PUNCT
ejpam-4416	1510	11	if	if	SCONJ
ejpam-4416	1510	12	n	n	NOUN
ejpam-4416	1510	13	=	=	SYM
ejpam-4416	1510	14	4	4	NUM
ejpam-4416	1510	15	,	,	PUNCT
ejpam-4416	1510	16	5	5	NUM
ejpam-4416	1510	17	3	3	NUM
ejpam-4416	1510	18	,	,	PUNCT
ejpam-4416	1510	19	if	if	SCONJ
ejpam-4416	1510	20	n	n	PROPN
ejpam-4416	1510	21	>	>	X
ejpam-4416	1510	22	5	5	X
ejpam-4416	1510	23	.	.	PUNCT
ejpam-4416	1510	24	references	reference	NOUN
ejpam-4416	1510	25	1111	1111	NUM
ejpam-4416	1510	26	proof	proof	NOUN
ejpam-4416	1510	27	.	.	PUNCT
ejpam-4416	1511	1	let	let	VERB
ejpam-4416	1511	2	γcn	γcn	NOUN
ejpam-4416	1511	3	be	be	AUX
ejpam-4416	1511	4	the	the	DET
ejpam-4416	1511	5	identity	identity	NOUN
ejpam-4416	1511	6	graph	graph	NOUN
ejpam-4416	1511	7	associated	associate	VERB
ejpam-4416	1511	8	with	with	ADP
ejpam-4416	1511	9	a	a	DET
ejpam-4416	1511	10	cyclic	cyclic	ADJ
ejpam-4416	1511	11	group	group	NOUN
ejpam-4416	1511	12	cn	cn	NOUN
ejpam-4416	1511	13	of	of	ADP
ejpam-4416	1511	14	order	order	NOUN
ejpam-4416	1511	15	n.	n.	NOUN
ejpam-4416	1511	16	for	for	ADP
ejpam-4416	1511	17	n	n	NOUN
ejpam-4416	1511	18	=	=	SYM
ejpam-4416	1511	19	3	3	NUM
ejpam-4416	1511	20	,	,	PUNCT
ejpam-4416	1511	21	c(γc3	c(γc3	PROPN
ejpam-4416	1511	22	)	)	PUNCT
ejpam-4416	1511	23	is	be	AUX
ejpam-4416	1511	24	isomorphic	isomorphic	ADJ
ejpam-4416	1511	25	to	to	ADP
ejpam-4416	1511	26	a	a	DET
ejpam-4416	1511	27	cycle	cycle	NOUN
ejpam-4416	1511	28	graph	graph	NOUN
ejpam-4416	1511	29	of	of	ADP
ejpam-4416	1511	30	length	length	NOUN
ejpam-4416	1511	31	6	6	NUM
ejpam-4416	1511	32	.	.	PUNCT
ejpam-4416	1512	1	thus	thus	ADV
ejpam-4416	1512	2	,	,	PUNCT
ejpam-4416	1512	3	gir(c(γc3	gir(c(γc3	NOUN
ejpam-4416	1512	4	)	)	PUNCT
ejpam-4416	1512	5	)	)	PUNCT
ejpam-4416	1513	1	=	=	PUNCT
ejpam-4416	1513	2	6	6	X
ejpam-4416	1513	3	.	.	X
ejpam-4416	1513	4	for	for	ADP
ejpam-4416	1513	5	n	n	NOUN
ejpam-4416	1513	6	=	=	SYM
ejpam-4416	1513	7	4	4	NUM
ejpam-4416	1513	8	,	,	PUNCT
ejpam-4416	1513	9	let	let	VERB
ejpam-4416	1513	10	v	v	NOUN
ejpam-4416	1513	11	(	(	PUNCT
ejpam-4416	1513	12	c(γc4	c(γc4	NOUN
ejpam-4416	1513	13	)	)	PUNCT
ejpam-4416	1513	14	)	)	PUNCT
ejpam-4416	1514	1	=	=	PRON
ejpam-4416	1514	2	{	{	PUNCT
ejpam-4416	1514	3	v0	v0	PROPN
ejpam-4416	1514	4	,	,	PUNCT
ejpam-4416	1514	5	vi	vi	PROPN
ejpam-4416	1514	6	,	,	PUNCT
ejpam-4416	1514	7	c0i	c0i	NOUN
ejpam-4416	1514	8	,	,	PUNCT
ejpam-4416	1514	9	c12	c12	NOUN
ejpam-4416	1514	10	:	:	PUNCT
ejpam-4416	1514	11	1	1	NUM
ejpam-4416	1514	12	≤	≤	NUM
ejpam-4416	1514	13	i	i	X
ejpam-4416	1514	14	≤	≤	ADV
ejpam-4416	1514	15	3	3	NUM
ejpam-4416	1514	16	}	}	PUNCT
ejpam-4416	1514	17	and	and	CCONJ
ejpam-4416	1514	18	e(c(γc4	e(c(γc4	NUM
ejpam-4416	1514	19	)	)	PUNCT
ejpam-4416	1514	20	)	)	PUNCT
ejpam-4416	1515	1	=	=	PRON
ejpam-4416	1515	2	{	{	PUNCT
ejpam-4416	1515	3	(	(	PUNCT
ejpam-4416	1515	4	v0	v0	NOUN
ejpam-4416	1515	5	,	,	PUNCT
ejpam-4416	1515	6	c0i	c0i	NOUN
ejpam-4416	1515	7	)	)	PUNCT
ejpam-4416	1515	8	,	,	PUNCT
ejpam-4416	1515	9	(	(	PUNCT
ejpam-4416	1515	10	vi	vi	NOUN
ejpam-4416	1515	11	,	,	PUNCT
ejpam-4416	1515	12	c0i	c0i	NOUN
ejpam-4416	1515	13	)	)	PUNCT
ejpam-4416	1515	14	:	:	PUNCT
ejpam-4416	1515	15	1	1	NUM
ejpam-4416	1515	16	≤	≤	NUM
ejpam-4416	1515	17	i	i	X
ejpam-4416	1515	18	≤	≤	NOUN
ejpam-4416	1515	19	3	3	NUM
ejpam-4416	1515	20	}	}	PUNCT
ejpam-4416	1515	21	⋃	⋃	NOUN
ejpam-4416	1515	22	{	{	PUNCT
ejpam-4416	1515	23	(	(	PUNCT
ejpam-4416	1515	24	v1	v1	NOUN
ejpam-4416	1515	25	,	,	PUNCT
ejpam-4416	1515	26	c12	c12	PROPN
ejpam-4416	1515	27	)	)	PUNCT
ejpam-4416	1515	28	,	,	PUNCT
ejpam-4416	1515	29	(	(	PUNCT
ejpam-4416	1515	30	v1	v1	NOUN
ejpam-4416	1515	31	,	,	PUNCT
ejpam-4416	1515	32	v3	v3	PROPN
ejpam-4416	1515	33	)	)	PUNCT
ejpam-4416	1515	34	,	,	PUNCT
ejpam-4416	1515	35	(	(	PUNCT
ejpam-4416	1515	36	c12	c12	PROPN
ejpam-4416	1515	37	,	,	PUNCT
ejpam-4416	1515	38	v2	v2	PROPN
ejpam-4416	1515	39	)	)	PUNCT
ejpam-4416	1515	40	,	,	PUNCT
ejpam-4416	1515	41	(	(	PUNCT
ejpam-4416	1515	42	v2	v2	PROPN
ejpam-4416	1515	43	,	,	PUNCT
ejpam-4416	1515	44	v3	v3	PROPN
ejpam-4416	1515	45	)	)	PUNCT
ejpam-4416	1515	46	}	}	PUNCT
ejpam-4416	1515	47	.	.	PUNCT
ejpam-4416	1516	1	clearly	clearly	ADV
ejpam-4416	1516	2	,	,	PUNCT
ejpam-4416	1516	3	the	the	DET
ejpam-4416	1516	4	cycle	cycle	NOUN
ejpam-4416	1516	5	{	{	PUNCT
ejpam-4416	1516	6	v1	v1	NOUN
ejpam-4416	1516	7	,	,	PUNCT
ejpam-4416	1516	8	c12	c12	PROPN
ejpam-4416	1516	9	,	,	PUNCT
ejpam-4416	1516	10	v2	v2	PROPN
ejpam-4416	1516	11	,	,	PUNCT
ejpam-4416	1516	12	v3	v3	PROPN
ejpam-4416	1516	13	,	,	PUNCT
ejpam-4416	1516	14	v1	v1	PROPN
ejpam-4416	1516	15	}	}	PUNCT
ejpam-4416	1516	16	is	be	AUX
ejpam-4416	1516	17	the	the	DET
ejpam-4416	1516	18	smallest	small	ADJ
ejpam-4416	1516	19	cycle	cycle	NOUN
ejpam-4416	1516	20	of	of	ADP
ejpam-4416	1516	21	c(γc4	c(γc4	PROPN
ejpam-4416	1516	22	)	)	PUNCT
ejpam-4416	1516	23	.	.	PUNCT
ejpam-4416	1517	1	hence	hence	ADV
ejpam-4416	1517	2	,	,	PUNCT
ejpam-4416	1517	3	gir(c(γc4	gir(c(γc4	PROPN
ejpam-4416	1517	4	)	)	PUNCT
ejpam-4416	1517	5	)	)	PUNCT
ejpam-4416	1518	1	=	=	PUNCT
ejpam-4416	1518	2	4	4	X
ejpam-4416	1518	3	.	.	X
ejpam-4416	1518	4	for	for	ADP
ejpam-4416	1518	5	n	n	NOUN
ejpam-4416	1518	6	=	=	SYM
ejpam-4416	1518	7	5	5	NUM
ejpam-4416	1518	8	,	,	PUNCT
ejpam-4416	1518	9	let	let	VERB
ejpam-4416	1518	10	v	v	NOUN
ejpam-4416	1518	11	(	(	PUNCT
ejpam-4416	1518	12	c(γc5	c(γc5	PROPN
ejpam-4416	1518	13	)	)	PUNCT
ejpam-4416	1518	14	)	)	PUNCT
ejpam-4416	1519	1	=	=	PRON
ejpam-4416	1519	2	{	{	PUNCT
ejpam-4416	1519	3	v0	v0	PROPN
ejpam-4416	1519	4	,	,	PUNCT
ejpam-4416	1519	5	vi	vi	PROPN
ejpam-4416	1519	6	,	,	PUNCT
ejpam-4416	1519	7	c0i	c0i	NOUN
ejpam-4416	1519	8	,	,	PUNCT
ejpam-4416	1519	9	c12	c12	NOUN
ejpam-4416	1519	10	:	:	PUNCT
ejpam-4416	1519	11	1	1	NUM
ejpam-4416	1519	12	≤	≤	NUM
ejpam-4416	1519	13	i	i	X
ejpam-4416	1519	14	≤	≤	ADV
ejpam-4416	1519	15	4	4	NUM
ejpam-4416	1519	16	}	}	PUNCT
ejpam-4416	1519	17	and	and	CCONJ
ejpam-4416	1519	18	e(c(γc5	e(c(γc5	NOUN
ejpam-4416	1519	19	)	)	PUNCT
ejpam-4416	1519	20	)	)	PUNCT
ejpam-4416	1520	1	=	=	PRON
ejpam-4416	1520	2	{	{	PUNCT
ejpam-4416	1520	3	(	(	PUNCT
ejpam-4416	1520	4	v0	v0	NOUN
ejpam-4416	1520	5	,	,	PUNCT
ejpam-4416	1520	6	c0i	c0i	NOUN
ejpam-4416	1520	7	)	)	PUNCT
ejpam-4416	1520	8	,	,	PUNCT
ejpam-4416	1520	9	(	(	PUNCT
ejpam-4416	1520	10	vi	vi	NOUN
ejpam-4416	1520	11	,	,	PUNCT
ejpam-4416	1520	12	c0i	c0i	NOUN
ejpam-4416	1520	13	)	)	PUNCT
ejpam-4416	1520	14	:	:	PUNCT
ejpam-4416	1520	15	1	1	NUM
ejpam-4416	1520	16	≤	≤	NUM
ejpam-4416	1520	17	i	i	X
ejpam-4416	1520	18	≤	≤	ADV
ejpam-4416	1520	19	4	4	NUM
ejpam-4416	1520	20	}	}	PUNCT
ejpam-4416	1520	21	⋃	⋃	NOUN
ejpam-4416	1520	22	{	{	PUNCT
ejpam-4416	1520	23	(	(	PUNCT
ejpam-4416	1520	24	v1	v1	NOUN
ejpam-4416	1520	25	,	,	PUNCT
ejpam-4416	1520	26	c12	c12	PROPN
ejpam-4416	1520	27	)	)	PUNCT
ejpam-4416	1520	28	,	,	PUNCT
ejpam-4416	1520	29	(	(	PUNCT
ejpam-4416	1520	30	v1	v1	NOUN
ejpam-4416	1520	31	,	,	PUNCT
ejpam-4416	1520	32	v3	v3	PROPN
ejpam-4416	1520	33	)	)	PUNCT
ejpam-4416	1520	34	,	,	PUNCT
ejpam-4416	1520	35	(	(	PUNCT
ejpam-4416	1520	36	v1	v1	NOUN
ejpam-4416	1520	37	,	,	PUNCT
ejpam-4416	1520	38	v4	v4	NOUN
ejpam-4416	1520	39	)	)	PUNCT
ejpam-4416	1520	40	,	,	PUNCT
ejpam-4416	1520	41	(	(	PUNCT
ejpam-4416	1520	42	c12	c12	PROPN
ejpam-4416	1520	43	,	,	PUNCT
ejpam-4416	1520	44	v2	v2	PROPN
ejpam-4416	1520	45	)	)	PUNCT
ejpam-4416	1520	46	,	,	PUNCT
ejpam-4416	1520	47	(	(	PUNCT
ejpam-4416	1520	48	v2	v2	PROPN
ejpam-4416	1520	49	,	,	PUNCT
ejpam-4416	1520	50	v3	v3	PROPN
ejpam-4416	1520	51	)	)	PUNCT
ejpam-4416	1520	52	,	,	PUNCT
ejpam-4416	1520	53	(	(	PUNCT
ejpam-4416	1520	54	v2	v2	NOUN
ejpam-4416	1520	55	,	,	PUNCT
ejpam-4416	1520	56	v4	v4	NOUN
ejpam-4416	1520	57	)	)	PUNCT
ejpam-4416	1520	58	,	,	PUNCT
ejpam-4416	1520	59	(	(	PUNCT
ejpam-4416	1520	60	v3	v3	PROPN
ejpam-4416	1520	61	,	,	PUNCT
ejpam-4416	1520	62	c34	c34	NOUN
ejpam-4416	1520	63	)	)	PUNCT
ejpam-4416	1520	64	,	,	PUNCT
ejpam-4416	1520	65	(	(	PUNCT
ejpam-4416	1520	66	c34	c34	NOUN
ejpam-4416	1520	67	,	,	PUNCT
ejpam-4416	1520	68	(	(	PUNCT
ejpam-4416	1520	69	v4	v4	NOUN
ejpam-4416	1520	70	)	)	PUNCT
ejpam-4416	1520	71	)	)	PUNCT
ejpam-4416	1520	72	}	}	PUNCT
ejpam-4416	1520	73	.	.	PUNCT
ejpam-4416	1521	1	clearly	clearly	ADV
ejpam-4416	1521	2	,	,	PUNCT
ejpam-4416	1521	3	the	the	DET
ejpam-4416	1521	4	cycle	cycle	NOUN
ejpam-4416	1521	5	{	{	PUNCT
ejpam-4416	1521	6	v1	v1	NOUN
ejpam-4416	1521	7	,	,	PUNCT
ejpam-4416	1521	8	c12	c12	PROPN
ejpam-4416	1521	9	,	,	PUNCT
ejpam-4416	1521	10	v2	v2	PROPN
ejpam-4416	1521	11	,	,	PUNCT
ejpam-4416	1521	12	v3	v3	PROPN
ejpam-4416	1521	13	,	,	PUNCT
ejpam-4416	1521	14	v1	v1	PROPN
ejpam-4416	1521	15	}	}	PUNCT
ejpam-4416	1521	16	is	be	AUX
ejpam-4416	1521	17	one	one	NUM
ejpam-4416	1521	18	of	of	ADP
ejpam-4416	1521	19	the	the	DET
ejpam-4416	1521	20	smallest	small	ADJ
ejpam-4416	1521	21	cycles	cycle	NOUN
ejpam-4416	1521	22	of	of	ADP
ejpam-4416	1521	23	c(γc4	c(γc4	PROPN
ejpam-4416	1521	24	)	)	PUNCT
ejpam-4416	1521	25	.	.	PUNCT
ejpam-4416	1522	1	thus	thus	ADV
ejpam-4416	1522	2	,	,	PUNCT
ejpam-4416	1522	3	gir(c(γc5	gir(c(γc5	NOUN
ejpam-4416	1522	4	)	)	PUNCT
ejpam-4416	1522	5	)	)	PUNCT
ejpam-4416	1523	1	=	=	PUNCT
ejpam-4416	1523	2	4	4	X
ejpam-4416	1523	3	.	.	X
ejpam-4416	1523	4	for	for	ADP
ejpam-4416	1523	5	n	n	NUM
ejpam-4416	1523	6	≥	≥	NUM
ejpam-4416	1523	7	6	6	NUM
ejpam-4416	1523	8	,	,	PUNCT
ejpam-4416	1523	9	the	the	DET
ejpam-4416	1523	10	cycle	cycle	NOUN
ejpam-4416	1523	11	{	{	PUNCT
ejpam-4416	1523	12	v1	v1	PROPN
ejpam-4416	1523	13	,	,	PUNCT
ejpam-4416	1523	14	v3	v3	PROPN
ejpam-4416	1523	15	,	,	PUNCT
ejpam-4416	1523	16	vn−1	vn−1	ADJ
ejpam-4416	1523	17	,	,	PUNCT
ejpam-4416	1523	18	v1	v1	NOUN
ejpam-4416	1523	19	}	}	PUNCT
ejpam-4416	1523	20	is	be	AUX
ejpam-4416	1523	21	always	always	ADV
ejpam-4416	1523	22	in	in	ADP
ejpam-4416	1523	23	c(γcn	c(γcn	PROPN
ejpam-4416	1523	24	)	)	PUNCT
ejpam-4416	1523	25	.	.	PUNCT
ejpam-4416	1524	1	in	in	ADP
ejpam-4416	1524	2	fact	fact	NOUN
ejpam-4416	1524	3	,	,	PUNCT
ejpam-4416	1524	4	there	there	PRON
ejpam-4416	1524	5	are	be	VERB
ejpam-4416	1524	6	many	many	ADJ
ejpam-4416	1524	7	cycle	cycle	NOUN
ejpam-4416	1524	8	graph	graph	NOUN
ejpam-4416	1524	9	of	of	ADP
ejpam-4416	1524	10	lenght	lenght	ADJ
ejpam-4416	1524	11	3	3	NUM
ejpam-4416	1524	12	in	in	ADP
ejpam-4416	1524	13	c(c(γcn	c(c(γcn	NOUN
ejpam-4416	1524	14	)	)	PUNCT
ejpam-4416	1524	15	)	)	PUNCT
ejpam-4416	1524	16	.	.	PUNCT
ejpam-4416	1525	1	thus	thus	ADV
ejpam-4416	1525	2	,	,	PUNCT
ejpam-4416	1525	3	gir(c(γcn	gir(c(γcn	X
ejpam-4416	1525	4	)	)	PUNCT
ejpam-4416	1525	5	)	)	PUNCT
ejpam-4416	1526	1	=	=	PUNCT
ejpam-4416	1527	1	3	3	X
ejpam-4416	1527	2	.	.	NOUN
ejpam-4416	1527	3	5	5	NUM
ejpam-4416	1527	4	.	.	X
ejpam-4416	1527	5	summary	summary	NOUN
ejpam-4416	1527	6	and	and	CCONJ
ejpam-4416	1527	7	conclusion	conclusion	NOUN
ejpam-4416	1527	8	in	in	ADP
ejpam-4416	1527	9	this	this	DET
ejpam-4416	1527	10	paper	paper	NOUN
ejpam-4416	1527	11	,	,	PUNCT
ejpam-4416	1527	12	we	we	PRON
ejpam-4416	1527	13	investigated	investigate	VERB
ejpam-4416	1527	14	the	the	DET
ejpam-4416	1527	15	structures	structure	NOUN
ejpam-4416	1527	16	and	and	CCONJ
ejpam-4416	1527	17	some	some	DET
ejpam-4416	1527	18	properties	property	NOUN
ejpam-4416	1527	19	of	of	ADP
ejpam-4416	1527	20	the	the	DET
ejpam-4416	1527	21	central	central	ADJ
ejpam-4416	1527	22	graphs	graph	NOUN
ejpam-4416	1527	23	of	of	ADP
ejpam-4416	1527	24	the	the	DET
ejpam-4416	1527	25	identity	identity	NOUN
ejpam-4416	1527	26	graphs	graph	NOUN
ejpam-4416	1527	27	of	of	ADP
ejpam-4416	1527	28	finite	finite	ADJ
ejpam-4416	1527	29	cyclic	cyclic	ADJ
ejpam-4416	1527	30	groups	group	NOUN
ejpam-4416	1527	31	.	.	PUNCT
ejpam-4416	1528	1	acknowledgements	acknowledgement	NOUN
ejpam-4416	1528	2	the	the	DET
ejpam-4416	1528	3	authors	author	NOUN
ejpam-4416	1528	4	would	would	AUX
ejpam-4416	1528	5	like	like	VERB
ejpam-4416	1528	6	to	to	PART
ejpam-4416	1528	7	thank	thank	VERB
ejpam-4416	1528	8	the	the	DET
ejpam-4416	1528	9	referees	referee	NOUN
ejpam-4416	1528	10	for	for	ADP
ejpam-4416	1528	11	their	their	PRON
ejpam-4416	1528	12	thoughtful	thoughtful	ADJ
ejpam-4416	1528	13	comments	comment	NOUN
ejpam-4416	1528	14	and	and	CCONJ
ejpam-4416	1528	15	efforts	effort	NOUN
ejpam-4416	1528	16	towards	towards	ADP
ejpam-4416	1528	17	improving	improve	VERB
ejpam-4416	1528	18	their	their	PRON
ejpam-4416	1528	19	manuscript	manuscript	NOUN
ejpam-4416	1528	20	.	.	PUNCT
ejpam-4416	1529	1	also	also	ADV
ejpam-4416	1529	2	,	,	PUNCT
ejpam-4416	1529	3	they	they	PRON
ejpam-4416	1529	4	would	would	AUX
ejpam-4416	1529	5	like	like	VERB
ejpam-4416	1529	6	to	to	PART
ejpam-4416	1529	7	thank	thank	VERB
ejpam-4416	1529	8	the	the	DET
ejpam-4416	1529	9	department	department	NOUN
ejpam-4416	1529	10	of	of	ADP
ejpam-4416	1529	11	science	science	NOUN
ejpam-4416	1529	12	and	and	CCONJ
ejpam-4416	1529	13	technology	technology	NOUN
ejpam-4416	1529	14	science	science	PROPN
ejpam-4416	1529	15	education	education	PROPN
ejpam-4416	1529	16	institute	institute	PROPN
ejpam-4416	1529	17	(	(	PUNCT
ejpam-4416	1529	18	dost	dost	NOUN
ejpam-4416	1529	19	-	-	PUNCT
ejpam-4416	1529	20	sei)-philippines	sei)-philippine	NOUN
ejpam-4416	1529	21	through	through	ADP
ejpam-4416	1529	22	the	the	DET
ejpam-4416	1529	23	science	science	NOUN
ejpam-4416	1529	24	and	and	CCONJ
ejpam-4416	1529	25	technology	technology	NOUN
ejpam-4416	1529	26	regional	regional	ADJ
ejpam-4416	1529	27	alliance	alliance	NOUN
ejpam-4416	1529	28	of	of	ADP
ejpam-4416	1529	29	universities	university	NOUN
ejpam-4416	1529	30	for	for	ADP
ejpam-4416	1529	31	national	national	ADJ
ejpam-4416	1529	32	development	development	NOUN
ejpam-4416	1529	33	(	(	PUNCT
ejpam-4416	1529	34	strand	strand	NOUN
ejpam-4416	1529	35	)	)	PUNCT
ejpam-4416	1529	36	for	for	SCONJ
ejpam-4416	1529	37	the	the	DET
ejpam-4416	1529	38	grant	grant	NOUN
ejpam-4416	1529	39	to	to	PART
ejpam-4416	1529	40	make	make	VERB
ejpam-4416	1529	41	this	this	DET
ejpam-4416	1529	42	paper	paper	NOUN
ejpam-4416	1529	43	possible	possible	ADJ
ejpam-4416	1529	44	.	.	PUNCT
ejpam-4416	1530	1	references	reference	NOUN
ejpam-4416	1530	2	[	[	X
ejpam-4416	1530	3	1	1	NUM
ejpam-4416	1530	4	]	]	PUNCT
ejpam-4416	1530	5	a.	a.	NOUN
ejpam-4416	1530	6	ballester	ballester	PROPN
ejpam-4416	1530	7	-	-	PUNCT
ejpam-4416	1530	8	bolinches	bolinches	PROPN
ejpam-4416	1530	9	and	and	CCONJ
ejpam-4416	1530	10	j.	j.	PROPN
ejpam-4416	1530	11	cossey	cossey	PROPN
ejpam-4416	1530	12	.	.	PUNCT
ejpam-4416	1531	1	graphs	graph	NOUN
ejpam-4416	1531	2	and	and	CCONJ
ejpam-4416	1531	3	classes	class	NOUN
ejpam-4416	1531	4	of	of	ADP
ejpam-4416	1531	5	finite	finite	ADJ
ejpam-4416	1531	6	groups	group	NOUN
ejpam-4416	1531	7	.	.	PUNCT
ejpam-4416	1532	1	note	note	VERB
ejpam-4416	1532	2	di	di	PROPN
ejpam-4416	1532	3	matematica	matematica	PROPN
ejpam-4416	1532	4	,	,	PUNCT
ejpam-4416	1532	5	33(1):89–94	33(1):89–94	NUM
ejpam-4416	1532	6	,	,	PUNCT
ejpam-4416	1532	7	2013	2013	NUM
ejpam-4416	1532	8	.	.	PUNCT
ejpam-4416	1533	1	[	[	X
ejpam-4416	1533	2	2	2	X
ejpam-4416	1533	3	]	]	PUNCT
ejpam-4416	1533	4	p.	p.	NOUN
ejpam-4416	1533	5	cameron	cameron	PROPN
ejpam-4416	1533	6	and	and	CCONJ
ejpam-4416	1533	7	s.	s.	PROPN
ejpam-4416	1533	8	ghosh	ghosh	PROPN
ejpam-4416	1533	9	.	.	PUNCT
ejpam-4416	1534	1	the	the	DET
ejpam-4416	1534	2	power	power	NOUN
ejpam-4416	1534	3	graph	graph	NOUN
ejpam-4416	1534	4	of	of	ADP
ejpam-4416	1534	5	a	a	DET
ejpam-4416	1534	6	finite	finite	ADJ
ejpam-4416	1534	7	group	group	NOUN
ejpam-4416	1534	8	.	.	PUNCT
ejpam-4416	1535	1	discrete	discrete	ADJ
ejpam-4416	1535	2	mathematics	mathematic	NOUN
ejpam-4416	1535	3	,	,	PUNCT
ejpam-4416	1535	4	311(13):1220–1222	311(13):1220–1222	NUM
ejpam-4416	1535	5	,	,	PUNCT
ejpam-4416	1535	6	2011	2011	NUM
ejpam-4416	1535	7	.	.	PUNCT
ejpam-4416	1536	1	[	[	X
ejpam-4416	1536	2	3	3	X
ejpam-4416	1536	3	]	]	X
ejpam-4416	1536	4	yalçın	yalçın	PROPN
ejpam-4416	1536	5	nazmiye	nazmiye	ADJ
ejpam-4416	1536	6	feyza	feyza	NOUN
ejpam-4416	1536	7	and	and	CCONJ
ejpam-4416	1536	8	kırğıl	kırğıl	PROPN
ejpam-4416	1536	9	yakup	yakup	PROPN
ejpam-4416	1536	10	.	.	PUNCT
ejpam-4416	1537	1	identity	identity	NOUN
ejpam-4416	1537	2	graphs	graph	NOUN
ejpam-4416	1537	3	of	of	ADP
ejpam-4416	1537	4	finite	finite	ADJ
ejpam-4416	1537	5	cyclic	cyclic	ADJ
ejpam-4416	1537	6	groups	group	NOUN
ejpam-4416	1537	7	.	.	PUNCT
ejpam-4416	1538	1	balıkesir	balıkesir	NOUN
ejpam-4416	1538	2	üniversitesi	üniversitesi	PROPN
ejpam-4416	1538	3	fen	fen	PROPN
ejpam-4416	1538	4	bilimleri	bilimleri	PROPN
ejpam-4416	1538	5	enstitüsü	enstitüsü	PROPN
ejpam-4416	1538	6	dergisi	dergisi	VERB
ejpam-4416	1538	7	,	,	PUNCT
ejpam-4416	1538	8	22(1):149–158	22(1):149–158	NUM
ejpam-4416	1538	9	,	,	PUNCT
ejpam-4416	1538	10	2020	2020	NUM
ejpam-4416	1538	11	.	.	PUNCT
ejpam-4416	1539	1	[	[	X
ejpam-4416	1539	2	4	4	NUM
ejpam-4416	1539	3	]	]	ADJ
ejpam-4416	1539	4	a.	a.	NOUN
ejpam-4416	1539	5	godase	godase	NOUN
ejpam-4416	1539	6	.	.	PUNCT
ejpam-4416	1540	1	unit	unit	NOUN
ejpam-4416	1540	2	graph	graph	NOUN
ejpam-4416	1540	3	of	of	ADP
ejpam-4416	1540	4	some	some	DET
ejpam-4416	1540	5	finite	finite	PROPN
ejpam-4416	1540	6	group	group	NOUN
ejpam-4416	1540	7	zn	zn	PROPN
ejpam-4416	1540	8	,	,	PUNCT
ejpam-4416	1540	9	cn	cn	PROPN
ejpam-4416	1540	10	,	,	PUNCT
ejpam-4416	1540	11	dn	dn	PROPN
ejpam-4416	1540	12	.	.	PUNCT
ejpam-4416	1540	13	pages	page	NOUN
ejpam-4416	1540	14	122–130	122–130	NUM
ejpam-4416	1540	15	,	,	PUNCT
ejpam-4416	1540	16	2015	2015	NUM
ejpam-4416	1540	17	.	.	PUNCT
ejpam-4416	1541	1	[	[	X
ejpam-4416	1541	2	5	5	X
ejpam-4416	1541	3	]	]	PUNCT
ejpam-4416	1541	4	m.	m.	NOUN
ejpam-4416	1541	5	herawati	herawati	PROPN
ejpam-4416	1541	6	and	and	CCONJ
ejpam-4416	1541	7	p.	p.	PROPN
ejpam-4416	1541	8	henryanti	henryanti	PROPN
ejpam-4416	1541	9	.	.	PUNCT
ejpam-4416	1541	10	identity	identity	NOUN
ejpam-4416	1541	11	graphs	graph	NOUN
ejpam-4416	1541	12	of	of	ADP
ejpam-4416	1541	13	finite	finite	ADJ
ejpam-4416	1541	14	cyclic	cyclic	ADJ
ejpam-4416	1541	15	groups	group	NOUN
ejpam-4416	1541	16	.	.	PUNCT
ejpam-4416	1542	1	international	international	ADJ
ejpam-4416	1542	2	journal	journal	PROPN
ejpam-4416	1542	3	of	of	ADP
ejpam-4416	1542	4	applied	apply	VERB
ejpam-4416	1542	5	sciences	science	NOUN
ejpam-4416	1542	6	and	and	CCONJ
ejpam-4416	1542	7	smart	smart	ADJ
ejpam-4416	1542	8	technologies	technology	NOUN
ejpam-4416	1542	9	,	,	PUNCT
ejpam-4416	1542	10	3(1	3(1	NUM
ejpam-4416	1542	11	)	)	PUNCT
ejpam-4416	1542	12	,	,	PUNCT
ejpam-4416	1542	13	2021	2021	NUM
ejpam-4416	1542	14	.	.	PUNCT
ejpam-4416	1543	1	[	[	X
ejpam-4416	1543	2	6	6	NUM
ejpam-4416	1543	3	]	]	PUNCT
ejpam-4416	1543	4	w.	w.	PROPN
ejpam-4416	1543	5	kandasamy	kandasamy	PROPN
ejpam-4416	1543	6	and	and	CCONJ
ejpam-4416	1543	7	f	f	PROPN
ejpam-4416	1543	8	smarandache	smarandache	NOUN
ejpam-4416	1543	9	.	.	PUNCT
ejpam-4416	1544	1	groups	group	NOUN
ejpam-4416	1544	2	as	as	ADP
ejpam-4416	1544	3	graphs	graph	NOUN
ejpam-4416	1544	4	.	.	PUNCT
ejpam-4416	1545	1	https://arxiv.org/abs/0906.5144	https://arxiv.org/abs/0906.5144	PROPN
ejpam-4416	1545	2	,	,	PUNCT
ejpam-4416	1545	3	2009	2009	NUM
ejpam-4416	1545	4	.	.	PUNCT
ejpam-4416	1546	1	references	reference	NOUN
ejpam-4416	1546	2	1112	1112	NUM
ejpam-4416	1547	1	[	[	X
ejpam-4416	1547	2	7	7	NUM
ejpam-4416	1547	3	]	]	PUNCT
ejpam-4416	1547	4	z.	z.	PROPN
ejpam-4416	1547	5	raza	raza	PROPN
ejpam-4416	1547	6	and	and	CCONJ
ejpam-4416	1547	7	s.	s.	PROPN
ejpam-4416	1547	8	faizi	faizi	PROPN
ejpam-4416	1547	9	.	.	PUNCT
ejpam-4416	1548	1	commuting	commute	VERB
ejpam-4416	1548	2	graphs	graph	NOUN
ejpam-4416	1548	3	of	of	ADP
ejpam-4416	1548	4	dihedral	dihedral	ADJ
ejpam-4416	1548	5	type	type	NOUN
ejpam-4416	1548	6	groups	group	NOUN
ejpam-4416	1548	7	.	.	PUNCT
ejpam-4416	1549	1	applied	apply	VERB
ejpam-4416	1549	2	mathematics	mathematics	PROPN
ejpam-4416	1549	3	enotes	enote	NOUN
ejpam-4416	1549	4	,	,	PUNCT
ejpam-4416	1549	5	13:221–227	13:221–227	PROPN
ejpam-4416	1549	6	,	,	PUNCT
ejpam-4416	1549	7	2013	2013	NUM
ejpam-4416	1549	8	.	.	PUNCT
ejpam-4416	1550	1	[	[	X
ejpam-4416	1550	2	8	8	NUM
ejpam-4416	1550	3	]	]	PUNCT
ejpam-4416	1550	4	s.	s.	PROPN
ejpam-4416	1550	5	rehman	rehman	PROPN
ejpam-4416	1550	6	,	,	PUNCT
ejpam-4416	1550	7	a.	a.	PROPN
ejpam-4416	1550	8	baig	baig	PROPN
ejpam-4416	1550	9	,	,	PUNCT
ejpam-4416	1550	10	m.	m.	NOUN
ejpam-4416	1550	11	imran	imran	PROPN
ejpam-4416	1550	12	,	,	PUNCT
ejpam-4416	1550	13	and	and	CCONJ
ejpam-4416	1550	14	z.	z.	PROPN
ejpam-4416	1550	15	khan	khan	PROPN
ejpam-4416	1550	16	.	.	PUNCT
ejpam-4416	1551	1	order	order	NOUN
ejpam-4416	1551	2	divisor	divisor	NOUN
ejpam-4416	1551	3	graphs	graph	NOUN
ejpam-4416	1551	4	of	of	ADP
ejpam-4416	1551	5	finite	finite	ADJ
ejpam-4416	1551	6	groups	group	NOUN
ejpam-4416	1551	7	.	.	PUNCT
ejpam-4416	1552	1	analele	analele	PROPN
ejpam-4416	1552	2	universitatii	universitatii	PROPN
ejpam-4416	1552	3	”	"	PUNCT
ejpam-4416	1552	4	ovidius	ovidius	PROPN
ejpam-4416	1552	5	”	"	PUNCT
ejpam-4416	1552	6	constanta	constanta	PROPN
ejpam-4416	1552	7	-	-	PUNCT
ejpam-4416	1552	8	seria	seria	PROPN
ejpam-4416	1552	9	matematica	matematica	PROPN
ejpam-4416	1552	10	,	,	PUNCT
ejpam-4416	1552	11	26(3):29–40	26(3):29–40	NUM
ejpam-4416	1552	12	,	,	PUNCT
ejpam-4416	1552	13	2018	2018	NUM
ejpam-4416	1552	14	.	.	PUNCT
ejpam-4416	1553	1	[	[	X
ejpam-4416	1553	2	9	9	NUM
ejpam-4416	1553	3	]	]	X
ejpam-4416	1553	4	w.	w.	PROPN
ejpam-4416	1553	5	somnuek	somnuek	PROPN
ejpam-4416	1553	6	.	.	PUNCT
ejpam-4416	1554	1	counting	count	VERB
ejpam-4416	1554	2	lines	line	NOUN
ejpam-4416	1554	3	and	and	CCONJ
ejpam-4416	1554	4	triangle	triangle	VERB
ejpam-4416	1554	5	in	in	ADP
ejpam-4416	1554	6	a	a	DET
ejpam-4416	1554	7	unit	unit	NOUN
ejpam-4416	1554	8	graph	graph	NOUN
ejpam-4416	1554	9	.	.	PUNCT
ejpam-4416	1555	1	current	current	ADJ
ejpam-4416	1555	2	applied	apply	VERB
ejpam-4416	1555	3	science	science	NOUN
ejpam-4416	1555	4	and	and	CCONJ
ejpam-4416	1555	5	technology	technology	NOUN
ejpam-4416	1555	6	,	,	PUNCT
ejpam-4416	1555	7	17(1	17(1	NUM
ejpam-4416	1555	8	)	)	PUNCT
ejpam-4416	1555	9	,	,	PUNCT
ejpam-4416	1555	10	2017	2017	NUM
ejpam-4416	1555	11	.	.	PUNCT
ejpam-4416	1556	1	[	[	X
ejpam-4416	1556	2	10	10	NUM
ejpam-4416	1556	3	]	]	X
ejpam-4416	1556	4	j.	j.	PROPN
ejpam-4416	1556	5	vernold	vernold	PROPN
ejpam-4416	1556	6	.	.	PUNCT
ejpam-4416	1557	1	harmonious	harmonious	ADJ
ejpam-4416	1557	2	coloring	coloring	NOUN
ejpam-4416	1557	3	of	of	ADP
ejpam-4416	1557	4	total	total	ADJ
ejpam-4416	1557	5	graphs	graph	NOUN
ejpam-4416	1557	6	,	,	PUNCT
ejpam-4416	1557	7	n	n	CCONJ
ejpam-4416	1557	8	-	-	PUNCT
ejpam-4416	1557	9	leaf	leaf	NOUN
ejpam-4416	1557	10	,	,	PUNCT
ejpam-4416	1557	11	central	central	ADJ
ejpam-4416	1557	12	graphs	graph	NOUN
ejpam-4416	1557	13	,	,	PUNCT
ejpam-4416	1557	14	circumdetic	circumdetic	ADJ
ejpam-4416	1557	15	graphs	graph	NOUN
ejpam-4416	1557	16	.	.	PUNCT
ejpam-4416	1558	1	ph.d	ph.d	PROPN
ejpam-4416	1558	2	thesis	thesis	PROPN
ejpam-4416	1558	3	bharathia	bharathia	PROPN
ejpam-4416	1558	4	university	university	PROPN
ejpam-4416	1558	5	coimbatore	coimbatore	PROPN
ejpam-4416	1558	6	india	india	PROPN
ejpam-4416	1558	7	,	,	PUNCT
ejpam-4416	1558	8	2007	2007	NUM
ejpam-4416	1558	9	.	.	PUNCT