id	sid	tid	token	lemma	pos
ejpam-3724	1	1	european	european	PROPN
ejpam-3724	1	2	journal	journal	PROPN
ejpam-3724	1	3	of	of	ADP
ejpam-3724	1	4	pure	pure	ADJ
ejpam-3724	1	5	and	and	CCONJ
ejpam-3724	1	6	applied	apply	VERB
ejpam-3724	1	7	mathematics	mathematic	NOUN
ejpam-3724	1	8	vol	vol	NOUN
ejpam-3724	1	9	.	.	PROPN
ejpam-3724	2	1	13	13	NUM
ejpam-3724	2	2	,	,	PUNCT
ejpam-3724	2	3	no	no	INTJ
ejpam-3724	2	4	.	.	NOUN
ejpam-3724	2	5	5	5	NUM
ejpam-3724	2	6	,	,	PUNCT
ejpam-3724	2	7	2020	2020	NUM
ejpam-3724	2	8	,	,	PUNCT
ejpam-3724	2	9	1057	1057	NUM
ejpam-3724	2	10	-	-	SYM
ejpam-3724	2	11	1071	1071	NUM
ejpam-3724	2	12	issn	issn	PROPN
ejpam-3724	2	13	1307	1307	NUM
ejpam-3724	2	14	-	-	SYM
ejpam-3724	2	15	5543	5543	NUM
ejpam-3724	2	16	–	–	PUNCT
ejpam-3724	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3724	2	18	published	publish	VERB
ejpam-3724	2	19	by	by	ADP
ejpam-3724	2	20	new	new	PROPN
ejpam-3724	2	21	york	york	PROPN
ejpam-3724	2	22	business	business	PROPN
ejpam-3724	2	23	global	global	ADJ
ejpam-3724	2	24	special	special	ADJ
ejpam-3724	2	25	issue	issue	NOUN
ejpam-3724	2	26	dedicated	dedicate	VERB
ejpam-3724	2	27	to	to	ADP
ejpam-3724	2	28	professor	professor	NOUN
ejpam-3724	2	29	hari	hari	PROPN
ejpam-3724	2	30	m.	m.	PROPN
ejpam-3724	2	31	srivastava	srivastava	PROPN
ejpam-3724	2	32	on	on	ADP
ejpam-3724	2	33	the	the	DET
ejpam-3724	2	34	occasion	occasion	NOUN
ejpam-3724	2	35	of	of	ADP
ejpam-3724	2	36	his	his	PRON
ejpam-3724	2	37	80th	80th	ADJ
ejpam-3724	2	38	birthday	birthday	NOUN
ejpam-3724	2	39	transmission	transmission	NOUN
ejpam-3724	2	40	and	and	CCONJ
ejpam-3724	2	41	reciprocal	reciprocal	ADJ
ejpam-3724	2	42	transmission	transmission	NOUN
ejpam-3724	2	43	based	base	VERB
ejpam-3724	2	44	topological	topological	PROPN
ejpam-3724	2	45	co	co	NOUN
ejpam-3724	2	46	-	-	NOUN
ejpam-3724	2	47	indices	index	NOUN
ejpam-3724	2	48	of	of	ADP
ejpam-3724	2	49	graphs	graph	NOUN
ejpam-3724	2	50	harishchandra	harishchandra	PROPN
ejpam-3724	2	51	s.	s.	PROPN
ejpam-3724	2	52	ramane1	ramane1	PROPN
ejpam-3724	2	53	,	,	PUNCT
ejpam-3724	2	54	saroja	saroja	PROPN
ejpam-3724	2	55	y.	y.	PROPN
ejpam-3724	2	56	talwar1	talwar1	PROPN
ejpam-3724	2	57	,	,	PUNCT
ejpam-3724	2	58	ismail	ismail	PROPN
ejpam-3724	2	59	naci	naci	PROPN
ejpam-3724	2	60	cangul2,∗	cangul2,∗	PROPN
ejpam-3724	2	61	1	1	NUM
ejpam-3724	2	62	department	department	NOUN
ejpam-3724	2	63	of	of	ADP
ejpam-3724	2	64	mathematics	mathematics	PROPN
ejpam-3724	2	65	,	,	PUNCT
ejpam-3724	2	66	karnatak	karnatak	PROPN
ejpam-3724	2	67	university	university	PROPN
ejpam-3724	2	68	,	,	PUNCT
ejpam-3724	2	69	580003	580003	NUM
ejpam-3724	2	70	dharwad	dharwad	NOUN
ejpam-3724	2	71	,	,	PUNCT
ejpam-3724	2	72	india	india	PROPN
ejpam-3724	2	73	2	2	NUM
ejpam-3724	2	74	department	department	NOUN
ejpam-3724	2	75	of	of	ADP
ejpam-3724	2	76	mathematics	mathematics	PROPN
ejpam-3724	2	77	,	,	PUNCT
ejpam-3724	2	78	bursa	bursa	PROPN
ejpam-3724	2	79	uludag	uludag	PROPN
ejpam-3724	2	80	university	university	PROPN
ejpam-3724	2	81	,	,	PUNCT
ejpam-3724	2	82	16059	16059	NUM
ejpam-3724	2	83	bursa	bursa	NOUN
ejpam-3724	2	84	,	,	PUNCT
ejpam-3724	2	85	turkey	turkey	PROPN
ejpam-3724	2	86	abstract	abstract	NOUN
ejpam-3724	2	87	.	.	PUNCT
ejpam-3724	3	1	the	the	DET
ejpam-3724	3	2	transmission	transmission	NOUN
ejpam-3724	3	3	of	of	ADP
ejpam-3724	3	4	a	a	DET
ejpam-3724	3	5	vertex	vertex	NOUN
ejpam-3724	3	6	u	u	NOUN
ejpam-3724	3	7	in	in	ADP
ejpam-3724	3	8	a	a	DET
ejpam-3724	3	9	connected	connected	ADJ
ejpam-3724	3	10	graph	graph	NOUN
ejpam-3724	3	11	g	g	NOUN
ejpam-3724	3	12	is	be	AUX
ejpam-3724	3	13	defined	define	VERB
ejpam-3724	3	14	as	as	ADP
ejpam-3724	3	15	the	the	DET
ejpam-3724	3	16	sum	sum	NOUN
ejpam-3724	3	17	of	of	ADP
ejpam-3724	3	18	the	the	DET
ejpam-3724	3	19	distances	distance	NOUN
ejpam-3724	3	20	between	between	ADP
ejpam-3724	3	21	u	u	NOUN
ejpam-3724	3	22	and	and	CCONJ
ejpam-3724	3	23	all	all	DET
ejpam-3724	3	24	other	other	ADJ
ejpam-3724	3	25	vertices	vertex	NOUN
ejpam-3724	3	26	of	of	ADP
ejpam-3724	3	27	a	a	DET
ejpam-3724	3	28	graph	graph	NOUN
ejpam-3724	3	29	g.	g.	NOUN
ejpam-3724	3	30	the	the	DET
ejpam-3724	3	31	reciprocal	reciprocal	ADJ
ejpam-3724	3	32	transmission	transmission	NOUN
ejpam-3724	3	33	of	of	ADP
ejpam-3724	3	34	a	a	DET
ejpam-3724	3	35	vertex	vertex	NOUN
ejpam-3724	3	36	u	u	NOUN
ejpam-3724	3	37	in	in	ADP
ejpam-3724	3	38	a	a	DET
ejpam-3724	3	39	connected	connected	ADJ
ejpam-3724	3	40	graph	graph	NOUN
ejpam-3724	3	41	g	g	NOUN
ejpam-3724	3	42	is	be	AUX
ejpam-3724	3	43	defined	define	VERB
ejpam-3724	3	44	as	as	ADP
ejpam-3724	3	45	the	the	DET
ejpam-3724	3	46	sum	sum	NOUN
ejpam-3724	3	47	of	of	ADP
ejpam-3724	3	48	the	the	DET
ejpam-3724	3	49	reciprocal	reciprocal	NOUN
ejpam-3724	3	50	of	of	ADP
ejpam-3724	3	51	distances	distance	NOUN
ejpam-3724	3	52	between	between	ADP
ejpam-3724	3	53	u	u	NOUN
ejpam-3724	3	54	and	and	CCONJ
ejpam-3724	3	55	all	all	DET
ejpam-3724	3	56	other	other	ADJ
ejpam-3724	3	57	vertices	vertex	NOUN
ejpam-3724	3	58	of	of	ADP
ejpam-3724	3	59	a	a	DET
ejpam-3724	3	60	graph	graph	NOUN
ejpam-3724	3	61	g.	g.	NOUN
ejpam-3724	3	62	in	in	ADP
ejpam-3724	3	63	this	this	DET
ejpam-3724	3	64	paper	paper	NOUN
ejpam-3724	3	65	,	,	PUNCT
ejpam-3724	3	66	we	we	PRON
ejpam-3724	3	67	introduce	introduce	VERB
ejpam-3724	3	68	and	and	CCONJ
ejpam-3724	3	69	study	study	VERB
ejpam-3724	3	70	new	new	ADJ
ejpam-3724	3	71	topological	topological	ADJ
ejpam-3724	3	72	co	co	NOUN
ejpam-3724	3	73	-	-	NOUN
ejpam-3724	3	74	indices	index	NOUN
ejpam-3724	3	75	based	base	VERB
ejpam-3724	3	76	on	on	ADP
ejpam-3724	3	77	the	the	DET
ejpam-3724	3	78	transmission	transmission	NOUN
ejpam-3724	3	79	and	and	CCONJ
ejpam-3724	3	80	reciprocal	reciprocal	ADJ
ejpam-3724	3	81	transmission	transmission	NOUN
ejpam-3724	3	82	of	of	ADP
ejpam-3724	3	83	a	a	DET
ejpam-3724	3	84	vertex	vertex	NOUN
ejpam-3724	3	85	,	,	PUNCT
ejpam-3724	3	86	such	such	ADJ
ejpam-3724	3	87	as	as	ADP
ejpam-3724	3	88	transmission	transmission	NOUN
ejpam-3724	3	89	and	and	CCONJ
ejpam-3724	3	90	reciprocal	reciprocal	ADJ
ejpam-3724	3	91	transmission	transmission	NOUN
ejpam-3724	3	92	sum	sum	NOUN
ejpam-3724	3	93	-	-	PUNCT
ejpam-3724	3	94	connectivity	connectivity	NOUN
ejpam-3724	3	95	co	co	NOUN
ejpam-3724	3	96	-	-	NOUN
ejpam-3724	3	97	indices	index	NOUN
ejpam-3724	3	98	,	,	PUNCT
ejpam-3724	3	99	transmission	transmission	NOUN
ejpam-3724	3	100	and	and	CCONJ
ejpam-3724	3	101	reciprocal	reciprocal	ADJ
ejpam-3724	3	102	transmission	transmission	NOUN
ejpam-3724	3	103	atom	atom	NOUN
ejpam-3724	3	104	bond	bond	NOUN
ejpam-3724	3	105	connectivity	connectivity	NOUN
ejpam-3724	3	106	co	co	NOUN
ejpam-3724	3	107	-	-	NOUN
ejpam-3724	3	108	indices	index	NOUN
ejpam-3724	3	109	,	,	PUNCT
ejpam-3724	3	110	transmission	transmission	NOUN
ejpam-3724	3	111	and	and	CCONJ
ejpam-3724	3	112	reciprocal	reciprocal	ADJ
ejpam-3724	3	113	transmission	transmission	NOUN
ejpam-3724	3	114	geometric	geometric	ADJ
ejpam-3724	3	115	-	-	PUNCT
ejpam-3724	3	116	arithmetic	arithmetic	ADJ
ejpam-3724	3	117	coindices	coindice	NOUN
ejpam-3724	3	118	,	,	PUNCT
ejpam-3724	3	119	transmission	transmission	NOUN
ejpam-3724	3	120	and	and	CCONJ
ejpam-3724	3	121	reciprocal	reciprocal	ADJ
ejpam-3724	3	122	transmission	transmission	NOUN
ejpam-3724	3	123	augmented	augment	VERB
ejpam-3724	3	124	zagreb	zagreb	PROPN
ejpam-3724	3	125	co	co	NOUN
ejpam-3724	3	126	-	-	NOUN
ejpam-3724	3	127	indices	index	NOUN
ejpam-3724	3	128	,	,	PUNCT
ejpam-3724	3	129	and	and	CCONJ
ejpam-3724	3	130	transmission	transmission	NOUN
ejpam-3724	3	131	and	and	CCONJ
ejpam-3724	3	132	reciprocal	reciprocal	ADJ
ejpam-3724	3	133	transmission	transmission	NOUN
ejpam-3724	3	134	arithmetic	arithmetic	ADJ
ejpam-3724	3	135	-	-	PUNCT
ejpam-3724	3	136	geometric	geometric	ADJ
ejpam-3724	3	137	co	co	NOUN
ejpam-3724	3	138	-	-	NOUN
ejpam-3724	3	139	indices	index	NOUN
ejpam-3724	3	140	.	.	PUNCT
ejpam-3724	4	1	further	far	ADV
ejpam-3724	4	2	we	we	PRON
ejpam-3724	4	3	obtain	obtain	VERB
ejpam-3724	4	4	general	general	ADJ
ejpam-3724	4	5	formulae	formulae	NOUN
ejpam-3724	4	6	for	for	ADP
ejpam-3724	4	7	some	some	DET
ejpam-3724	4	8	graphs	graph	NOUN
ejpam-3724	4	9	.	.	PUNCT
ejpam-3724	5	1	2020	2020	NUM
ejpam-3724	5	2	mathematics	mathematic	NOUN
ejpam-3724	5	3	subject	subject	NOUN
ejpam-3724	5	4	classifications	classification	NOUN
ejpam-3724	5	5	:	:	PUNCT
ejpam-3724	5	6	05c07	05c07	NOUN
ejpam-3724	5	7	,	,	PUNCT
ejpam-3724	5	8	05c30	05c30	NUM
ejpam-3724	5	9	,	,	PUNCT
ejpam-3724	5	10	05c69	05c69	NOUN
ejpam-3724	5	11	key	key	ADJ
ejpam-3724	5	12	words	word	NOUN
ejpam-3724	5	13	and	and	CCONJ
ejpam-3724	5	14	phrases	phrase	NOUN
ejpam-3724	5	15	:	:	PUNCT
ejpam-3724	5	16	transmission	transmission	NOUN
ejpam-3724	5	17	of	of	ADP
ejpam-3724	5	18	a	a	DET
ejpam-3724	5	19	vertex	vertex	NOUN
ejpam-3724	5	20	,	,	PUNCT
ejpam-3724	5	21	reciprocal	reciprocal	ADJ
ejpam-3724	5	22	transmission	transmission	NOUN
ejpam-3724	5	23	of	of	ADP
ejpam-3724	5	24	a	a	DET
ejpam-3724	5	25	vertex	vertex	NOUN
ejpam-3724	5	26	,	,	PUNCT
ejpam-3724	5	27	topological	topological	ADJ
ejpam-3724	5	28	index	index	NOUN
ejpam-3724	5	29	,	,	PUNCT
ejpam-3724	5	30	graph	graph	NOUN
ejpam-3724	5	31	distance	distance	NOUN
ejpam-3724	5	32	1	1	NUM
ejpam-3724	5	33	.	.	PUNCT
ejpam-3724	6	1	introduction	introduction	NOUN
ejpam-3724	6	2	topological	topological	ADJ
ejpam-3724	6	3	indices	index	NOUN
ejpam-3724	6	4	are	be	AUX
ejpam-3724	6	5	proved	prove	VERB
ejpam-3724	6	6	to	to	PART
ejpam-3724	6	7	be	be	AUX
ejpam-3724	6	8	very	very	ADV
ejpam-3724	6	9	useful	useful	ADJ
ejpam-3724	6	10	in	in	ADP
ejpam-3724	6	11	chemistry	chemistry	NOUN
ejpam-3724	6	12	,	,	PUNCT
ejpam-3724	6	13	biochemistry	biochemistry	NOUN
ejpam-3724	6	14	and	and	CCONJ
ejpam-3724	6	15	nanotechnology	nanotechnology	NOUN
ejpam-3724	6	16	in	in	ADP
ejpam-3724	6	17	isomer	isomer	PROPN
ejpam-3724	6	18	discrimination	discrimination	NOUN
ejpam-3724	6	19	,	,	PUNCT
ejpam-3724	6	20	structure	structure	NOUN
ejpam-3724	6	21	-	-	PUNCT
ejpam-3724	6	22	property	property	NOUN
ejpam-3724	6	23	relationship	relationship	NOUN
ejpam-3724	6	24	,	,	PUNCT
ejpam-3724	6	25	structure	structure	NOUN
ejpam-3724	6	26	-	-	PUNCT
ejpam-3724	6	27	activity	activity	NOUN
ejpam-3724	6	28	relationship	relationship	NOUN
ejpam-3724	6	29	and	and	CCONJ
ejpam-3724	6	30	pharmaceutical	pharmaceutical	NOUN
ejpam-3724	6	31	drug	drug	NOUN
ejpam-3724	6	32	design	design	NOUN
ejpam-3724	6	33	.	.	PUNCT
ejpam-3724	7	1	according	accord	VERB
ejpam-3724	7	2	to	to	ADP
ejpam-3724	7	3	the	the	DET
ejpam-3724	7	4	international	international	ADJ
ejpam-3724	7	5	academy	academy	NOUN
ejpam-3724	7	6	of	of	ADP
ejpam-3724	7	7	∗corresponding	∗corresponde	VERB
ejpam-3724	7	8	author	author	NOUN
ejpam-3724	7	9	.	.	PUNCT
ejpam-3724	8	1	doi	doi	NOUN
ejpam-3724	8	2	:	:	PUNCT
ejpam-3724	8	3	https://doi.org/10.29020/nybg.ejpam.v13i5.3724	https://doi.org/10.29020/nybg.ejpam.v13i5.3724	X
ejpam-3724	8	4	email	email	NOUN
ejpam-3724	8	5	addresses	address	NOUN
ejpam-3724	8	6	:	:	PUNCT
ejpam-3724	8	7	cangul@uludag.edu.tr	cangul@uludag.edu.tr	NOUN
ejpam-3724	8	8	(	(	PUNCT
ejpam-3724	8	9	i.	i.	PROPN
ejpam-3724	8	10	n.	n.	PROPN
ejpam-3724	8	11	cangul	cangul	PROPN
ejpam-3724	8	12	)	)	PUNCT
ejpam-3724	8	13	hsramane@yahoo.com	hsramane@yahoo.com	X
ejpam-3724	9	1	(	(	PUNCT
ejpam-3724	9	2	h.	h.	PROPN
ejpam-3724	9	3	s.	s.	PROPN
ejpam-3724	9	4	ramane	ramane	PROPN
ejpam-3724	9	5	)	)	PUNCT
ejpam-3724	9	6	,	,	PUNCT
ejpam-3724	9	7	sarojaytalwar@gmail.com	sarojaytalwar@gmail.com	X
ejpam-3724	9	8	(	(	PUNCT
ejpam-3724	9	9	s.	s.	PROPN
ejpam-3724	9	10	y.	y.	PROPN
ejpam-3724	9	11	talwar	talwar	PROPN
ejpam-3724	9	12	)	)	PUNCT
ejpam-3724	9	13	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-3724	9	14	1057	1057	NUM
ejpam-3724	10	1	c	c	NOUN
ejpam-3724	10	2	©	©	PROPN
ejpam-3724	10	3	2020	2020	NUM
ejpam-3724	10	4	ejpam	ejpam	VERB
ejpam-3724	10	5	all	all	DET
ejpam-3724	10	6	rights	right	NOUN
ejpam-3724	10	7	reserved	reserve	VERB
ejpam-3724	10	8	.	.	PUNCT
ejpam-3724	11	1	h.	h.	PROPN
ejpam-3724	11	2	s.	s.	PROPN
ejpam-3724	11	3	ramane	ramane	PROPN
ejpam-3724	11	4	,	,	PUNCT
ejpam-3724	11	5	s.	s.	PROPN
ejpam-3724	11	6	y.	y.	PROPN
ejpam-3724	11	7	talwar	talwar	PROPN
ejpam-3724	11	8	,	,	PUNCT
ejpam-3724	11	9	i.	i.	PROPN
ejpam-3724	11	10	n.	n.	PROPN
ejpam-3724	11	11	cangul	cangul	PROPN
ejpam-3724	11	12	/	/	SYM
ejpam-3724	11	13	eur	eur	NOUN
ejpam-3724	11	14	.	.	PUNCT
ejpam-3724	12	1	j.	j.	PROPN
ejpam-3724	12	2	pure	pure	PROPN
ejpam-3724	12	3	appl	appl	PROPN
ejpam-3724	12	4	.	.	PROPN
ejpam-3724	12	5	math	math	PROPN
ejpam-3724	12	6	,	,	PUNCT
ejpam-3724	12	7	13	13	NUM
ejpam-3724	12	8	(	(	PUNCT
ejpam-3724	12	9	5	5	NUM
ejpam-3724	12	10	)	)	PUNCT
ejpam-3724	12	11	(	(	PUNCT
ejpam-3724	12	12	2020	2020	NUM
ejpam-3724	12	13	)	)	PUNCT
ejpam-3724	12	14	,	,	PUNCT
ejpam-3724	12	15	1057	1057	NUM
ejpam-3724	12	16	-	-	SYM
ejpam-3724	12	17	1071	1071	NUM
ejpam-3724	12	18	1058	1058	NUM
ejpam-3724	12	19	mathematical	mathematical	ADJ
ejpam-3724	12	20	chemistry	chemistry	NOUN
ejpam-3724	12	21	,	,	PUNCT
ejpam-3724	12	22	to	to	PART
ejpam-3724	12	23	identify	identify	VERB
ejpam-3724	12	24	whether	whether	SCONJ
ejpam-3724	12	25	any	any	DET
ejpam-3724	12	26	topological	topological	ADJ
ejpam-3724	12	27	index	index	NOUN
ejpam-3724	12	28	is	be	AUX
ejpam-3724	12	29	useful	useful	ADJ
ejpam-3724	12	30	for	for	ADP
ejpam-3724	12	31	prediction	prediction	NOUN
ejpam-3724	12	32	of	of	ADP
ejpam-3724	12	33	chemical	chemical	NOUN
ejpam-3724	12	34	properties	property	NOUN
ejpam-3724	12	35	,	,	PUNCT
ejpam-3724	12	36	the	the	DET
ejpam-3724	12	37	correlation	correlation	NOUN
ejpam-3724	12	38	between	between	ADP
ejpam-3724	12	39	the	the	DET
ejpam-3724	12	40	values	value	NOUN
ejpam-3724	12	41	of	of	ADP
ejpam-3724	12	42	that	that	DET
ejpam-3724	12	43	topological	topological	ADJ
ejpam-3724	12	44	index	index	NOUN
ejpam-3724	12	45	for	for	ADP
ejpam-3724	12	46	different	different	ADJ
ejpam-3724	12	47	octane	octane	NOUN
ejpam-3724	12	48	isomers	isomer	NOUN
ejpam-3724	12	49	and	and	CCONJ
ejpam-3724	12	50	parameter	parameter	NOUN
ejpam-3724	12	51	values	value	NOUN
ejpam-3724	12	52	related	relate	VERB
ejpam-3724	12	53	to	to	ADP
ejpam-3724	12	54	certain	certain	ADJ
ejpam-3724	12	55	physicochemical	physicochemical	ADJ
ejpam-3724	12	56	property	property	NOUN
ejpam-3724	12	57	of	of	ADP
ejpam-3724	12	58	them	they	PRON
ejpam-3724	12	59	should	should	AUX
ejpam-3724	12	60	be	be	AUX
ejpam-3724	12	61	considered	consider	VERB
ejpam-3724	12	62	.	.	PUNCT
ejpam-3724	13	1	generally	generally	ADV
ejpam-3724	13	2	octane	octane	VERB
ejpam-3724	13	3	isomers	isomer	NOUN
ejpam-3724	13	4	are	be	AUX
ejpam-3724	13	5	convenient	convenient	ADJ
ejpam-3724	13	6	for	for	ADP
ejpam-3724	13	7	such	such	ADJ
ejpam-3724	13	8	studies	study	NOUN
ejpam-3724	13	9	,	,	PUNCT
ejpam-3724	13	10	because	because	SCONJ
ejpam-3724	13	11	the	the	DET
ejpam-3724	13	12	number	number	NOUN
ejpam-3724	13	13	of	of	ADP
ejpam-3724	13	14	the	the	DET
ejpam-3724	13	15	structural	structural	ADJ
ejpam-3724	13	16	isomers	isomer	NOUN
ejpam-3724	13	17	of	of	ADP
ejpam-3724	13	18	octane	octane	NOUN
ejpam-3724	13	19	is	be	AUX
ejpam-3724	13	20	large	large	ADJ
ejpam-3724	13	21	enough	enough	ADV
ejpam-3724	13	22	to	to	PART
ejpam-3724	13	23	make	make	VERB
ejpam-3724	13	24	the	the	DET
ejpam-3724	13	25	statistical	statistical	ADJ
ejpam-3724	13	26	conclusion	conclusion	NOUN
ejpam-3724	13	27	reliable	reliable	ADJ
ejpam-3724	13	28	.	.	PUNCT
ejpam-3724	14	1	furtula	furtula	NOUN
ejpam-3724	14	2	and	and	CCONJ
ejpam-3724	14	3	gutman	gutman	NOUN
ejpam-3724	15	1	[	[	X
ejpam-3724	15	2	5	5	NUM
ejpam-3724	15	3	]	]	PUNCT
ejpam-3724	15	4	showed	show	VERB
ejpam-3724	15	5	that	that	SCONJ
ejpam-3724	15	6	for	for	ADP
ejpam-3724	15	7	octane	octane	NOUN
ejpam-3724	15	8	isomers	isomer	NOUN
ejpam-3724	15	9	both	both	CCONJ
ejpam-3724	15	10	m1	m1	PROPN
ejpam-3724	15	11	and	and	CCONJ
ejpam-3724	15	12	f	f	PROPN
ejpam-3724	15	13	yield	yield	NOUN
ejpam-3724	15	14	correlation	correlation	NOUN
ejpam-3724	15	15	coefficient	coefficient	NOUN
ejpam-3724	15	16	greater	great	ADJ
ejpam-3724	15	17	than	than	ADP
ejpam-3724	15	18	0.95	0.95	NUM
ejpam-3724	15	19	in	in	ADP
ejpam-3724	15	20	case	case	NOUN
ejpam-3724	15	21	of	of	ADP
ejpam-3724	15	22	entropy	entropy	NOUN
ejpam-3724	15	23	and	and	CCONJ
ejpam-3724	15	24	acentric	acentric	ADJ
ejpam-3724	15	25	factor	factor	NOUN
ejpam-3724	15	26	.	.	PUNCT
ejpam-3724	16	1	they	they	PRON
ejpam-3724	16	2	also	also	ADV
ejpam-3724	16	3	improved	improve	VERB
ejpam-3724	16	4	the	the	DET
ejpam-3724	16	5	predictive	predictive	ADJ
ejpam-3724	16	6	ability	ability	NOUN
ejpam-3724	16	7	of	of	ADP
ejpam-3724	16	8	these	these	DET
ejpam-3724	16	9	index	index	NOUN
ejpam-3724	16	10	by	by	ADP
ejpam-3724	16	11	considering	consider	VERB
ejpam-3724	16	12	a	a	DET
ejpam-3724	16	13	simple	simple	ADJ
ejpam-3724	16	14	linear	linear	NOUN
ejpam-3724	16	15	model	model	NOUN
ejpam-3724	16	16	in	in	ADP
ejpam-3724	16	17	the	the	DET
ejpam-3724	16	18	form	form	NOUN
ejpam-3724	16	19	(	(	PUNCT
ejpam-3724	16	20	m1	m1	PROPN
ejpam-3724	16	21	+	+	CCONJ
ejpam-3724	16	22	λf	λf	PROPN
ejpam-3724	16	23	)	)	PUNCT
ejpam-3724	16	24	,	,	PUNCT
ejpam-3724	16	25	where	where	SCONJ
ejpam-3724	16	26	λ	λ	PROPN
ejpam-3724	16	27	varies	vary	VERB
ejpam-3724	16	28	from	from	ADP
ejpam-3724	16	29	−20	−20	PROPN
ejpam-3724	16	30	to	to	ADP
ejpam-3724	16	31	20	20	NUM
ejpam-3724	16	32	.	.	PUNCT
ejpam-3724	17	1	for	for	ADP
ejpam-3724	17	2	graph	graph	NOUN
ejpam-3724	17	3	theoretical	theoretical	ADJ
ejpam-3724	17	4	parameters	parameter	NOUN
ejpam-3724	17	5	,	,	PUNCT
ejpam-3724	17	6	we	we	PRON
ejpam-3724	17	7	refer	refer	VERB
ejpam-3724	17	8	the	the	DET
ejpam-3724	17	9	book	book	NOUN
ejpam-3724	17	10	[	[	X
ejpam-3724	17	11	10	10	NUM
ejpam-3724	17	12	]	]	PUNCT
ejpam-3724	17	13	.	.	PUNCT
ejpam-3724	18	1	let	let	VERB
ejpam-3724	18	2	g	g	PRON
ejpam-3724	18	3	be	be	AUX
ejpam-3724	18	4	a	a	DET
ejpam-3724	18	5	graph	graph	NOUN
ejpam-3724	18	6	having	have	VERB
ejpam-3724	18	7	n	n	PRON
ejpam-3724	18	8	vertices	vertex	NOUN
ejpam-3724	18	9	and	and	CCONJ
ejpam-3724	18	10	m	m	PRON
ejpam-3724	18	11	edges	edge	NOUN
ejpam-3724	18	12	.	.	PUNCT
ejpam-3724	19	1	let	let	VERB
ejpam-3724	19	2	v	v	X
ejpam-3724	19	3	(	(	PUNCT
ejpam-3724	19	4	g	g	NOUN
ejpam-3724	19	5	)	)	PUNCT
ejpam-3724	19	6	be	be	VERB
ejpam-3724	19	7	the	the	DET
ejpam-3724	19	8	vertex	vertex	NOUN
ejpam-3724	19	9	set	set	NOUN
ejpam-3724	19	10	and	and	CCONJ
ejpam-3724	19	11	e(g	e(g	PROPN
ejpam-3724	19	12	)	)	PUNCT
ejpam-3724	19	13	be	be	VERB
ejpam-3724	19	14	the	the	DET
ejpam-3724	19	15	edge	edge	NOUN
ejpam-3724	19	16	set	set	NOUN
ejpam-3724	19	17	of	of	ADP
ejpam-3724	19	18	g.	g.	PROPN
ejpam-3724	19	19	the	the	DET
ejpam-3724	19	20	edge	edge	NOUN
ejpam-3724	19	21	e	e	ADP
ejpam-3724	19	22	joining	join	VERB
ejpam-3724	19	23	the	the	DET
ejpam-3724	19	24	vertices	vertex	NOUN
ejpam-3724	19	25	u	u	NOUN
ejpam-3724	19	26	and	and	CCONJ
ejpam-3724	19	27	v	v	NOUN
ejpam-3724	19	28	is	be	AUX
ejpam-3724	19	29	denoted	denote	VERB
ejpam-3724	19	30	by	by	ADP
ejpam-3724	19	31	e	e	NOUN
ejpam-3724	19	32	=	=	NOUN
ejpam-3724	19	33	uv	uv	NOUN
ejpam-3724	19	34	.	.	PUNCT
ejpam-3724	20	1	e	e	NOUN
ejpam-3724	20	2	is	be	AUX
ejpam-3724	20	3	said	say	VERB
ejpam-3724	20	4	to	to	PART
ejpam-3724	20	5	be	be	AUX
ejpam-3724	20	6	incident	incident	NOUN
ejpam-3724	20	7	to	to	ADP
ejpam-3724	20	8	u	u	NOUN
ejpam-3724	20	9	and	and	CCONJ
ejpam-3724	20	10	v	v	NOUN
ejpam-3724	20	11	and	and	CCONJ
ejpam-3724	20	12	u	u	NOUN
ejpam-3724	20	13	and	and	CCONJ
ejpam-3724	20	14	v	v	NOUN
ejpam-3724	20	15	are	be	AUX
ejpam-3724	20	16	called	call	VERB
ejpam-3724	20	17	adjacent	adjacent	ADJ
ejpam-3724	20	18	.	.	PUNCT
ejpam-3724	21	1	the	the	DET
ejpam-3724	21	2	degree	degree	NOUN
ejpam-3724	21	3	of	of	ADP
ejpam-3724	21	4	a	a	DET
ejpam-3724	21	5	vertex	vertex	NOUN
ejpam-3724	21	6	u	u	NOUN
ejpam-3724	21	7	is	be	AUX
ejpam-3724	21	8	the	the	DET
ejpam-3724	21	9	number	number	NOUN
ejpam-3724	21	10	of	of	ADP
ejpam-3724	21	11	edges	edge	NOUN
ejpam-3724	21	12	incident	incident	NOUN
ejpam-3724	21	13	to	to	ADP
ejpam-3724	21	14	it	it	PRON
ejpam-3724	21	15	and	and	CCONJ
ejpam-3724	21	16	is	be	AUX
ejpam-3724	21	17	denoted	denote	VERB
ejpam-3724	21	18	by	by	ADP
ejpam-3724	21	19	d(u	d(u	PROPN
ejpam-3724	21	20	)	)	PUNCT
ejpam-3724	21	21	.	.	PUNCT
ejpam-3724	22	1	the	the	DET
ejpam-3724	22	2	distance	distance	NOUN
ejpam-3724	22	3	between	between	ADP
ejpam-3724	22	4	the	the	DET
ejpam-3724	22	5	vertices	vertex	NOUN
ejpam-3724	22	6	u	u	NOUN
ejpam-3724	22	7	and	and	CCONJ
ejpam-3724	22	8	v	v	NOUN
ejpam-3724	22	9	is	be	AUX
ejpam-3724	22	10	the	the	DET
ejpam-3724	22	11	length	length	NOUN
ejpam-3724	22	12	of	of	ADP
ejpam-3724	22	13	the	the	DET
ejpam-3724	22	14	shortest	short	ADJ
ejpam-3724	22	15	path	path	NOUN
ejpam-3724	22	16	joining	join	VERB
ejpam-3724	22	17	u	u	NOUN
ejpam-3724	22	18	and	and	CCONJ
ejpam-3724	22	19	v	v	NOUN
ejpam-3724	22	20	and	and	CCONJ
ejpam-3724	22	21	is	be	AUX
ejpam-3724	22	22	denoted	denote	VERB
ejpam-3724	22	23	by	by	ADP
ejpam-3724	22	24	d(u	d(u	PROPN
ejpam-3724	22	25	,	,	PUNCT
ejpam-3724	22	26	v	v	NOUN
ejpam-3724	22	27	)	)	PUNCT
ejpam-3724	22	28	.	.	PUNCT
ejpam-3724	23	1	the	the	DET
ejpam-3724	23	2	diameter	diameter	NOUN
ejpam-3724	23	3	of	of	ADP
ejpam-3724	23	4	g	g	PROPN
ejpam-3724	23	5	is	be	AUX
ejpam-3724	23	6	the	the	DET
ejpam-3724	23	7	maximum	maximum	ADJ
ejpam-3724	23	8	distance	distance	NOUN
ejpam-3724	23	9	between	between	ADP
ejpam-3724	23	10	all	all	DET
ejpam-3724	23	11	pair	pair	NOUN
ejpam-3724	23	12	of	of	ADP
ejpam-3724	23	13	vertices	vertex	NOUN
ejpam-3724	23	14	of	of	ADP
ejpam-3724	23	15	g	g	NOUN
ejpam-3724	23	16	and	and	CCONJ
ejpam-3724	23	17	is	be	AUX
ejpam-3724	23	18	denoted	denote	VERB
ejpam-3724	23	19	by	by	ADP
ejpam-3724	23	20	diam(g	diam(g	PROPN
ejpam-3724	23	21	)	)	PUNCT
ejpam-3724	23	22	.	.	PUNCT
ejpam-3724	24	1	a	a	DET
ejpam-3724	24	2	topological	topological	ADJ
ejpam-3724	24	3	index	index	NOUN
ejpam-3724	24	4	is	be	AUX
ejpam-3724	24	5	a	a	DET
ejpam-3724	24	6	numerical	numerical	ADJ
ejpam-3724	24	7	invariant	invariant	NOUN
ejpam-3724	24	8	of	of	ADP
ejpam-3724	24	9	a	a	DET
ejpam-3724	24	10	given	give	VERB
ejpam-3724	24	11	graph	graph	NOUN
ejpam-3724	24	12	[	[	X
ejpam-3724	24	13	13	13	NUM
ejpam-3724	24	14	]	]	PUNCT
ejpam-3724	24	15	.	.	PUNCT
ejpam-3724	25	1	particular	particular	ADJ
ejpam-3724	25	2	topological	topological	ADJ
ejpam-3724	25	3	indices	index	NOUN
ejpam-3724	25	4	include	include	VERB
ejpam-3724	25	5	the	the	DET
ejpam-3724	25	6	zagreb	zagreb	PROPN
ejpam-3724	25	7	indices	index	NOUN
ejpam-3724	25	8	,	,	PUNCT
ejpam-3724	25	9	abc	abc	PROPN
ejpam-3724	25	10	index	index	PROPN
ejpam-3724	25	11	,	,	PUNCT
ejpam-3724	25	12	ga	ga	PROPN
ejpam-3724	25	13	index	index	PROPN
ejpam-3724	25	14	,	,	PUNCT
ejpam-3724	25	15	balaban	balaban	PROPN
ejpam-3724	25	16	index	index	PROPN
ejpam-3724	25	17	,	,	PUNCT
ejpam-3724	25	18	harary	harary	PROPN
ejpam-3724	25	19	index	index	NOUN
ejpam-3724	25	20	,	,	PUNCT
ejpam-3724	25	21	molecular	molecular	ADJ
ejpam-3724	25	22	topological	topological	ADJ
ejpam-3724	25	23	index	index	NOUN
ejpam-3724	25	24	and	and	CCONJ
ejpam-3724	25	25	wiener	wiener	NOUN
ejpam-3724	25	26	index	index	NOUN
ejpam-3724	25	27	.	.	PUNCT
ejpam-3724	26	1	unless	unless	SCONJ
ejpam-3724	26	2	otherwise	otherwise	ADV
ejpam-3724	26	3	stated	state	VERB
ejpam-3724	26	4	,	,	PUNCT
ejpam-3724	26	5	hydrogen	hydrogen	NOUN
ejpam-3724	26	6	atoms	atom	NOUN
ejpam-3724	26	7	are	be	AUX
ejpam-3724	26	8	usually	usually	ADV
ejpam-3724	26	9	ignored	ignore	VERB
ejpam-3724	26	10	in	in	ADP
ejpam-3724	26	11	the	the	DET
ejpam-3724	26	12	computation	computation	NOUN
ejpam-3724	26	13	of	of	ADP
ejpam-3724	26	14	such	such	ADJ
ejpam-3724	26	15	indices	index	NOUN
ejpam-3724	26	16	as	as	SCONJ
ejpam-3724	26	17	organic	organic	ADJ
ejpam-3724	26	18	chemists	chemist	NOUN
ejpam-3724	26	19	usually	usually	ADV
ejpam-3724	26	20	do	do	VERB
ejpam-3724	26	21	when	when	SCONJ
ejpam-3724	26	22	they	they	PRON
ejpam-3724	26	23	write	write	VERB
ejpam-3724	26	24	a	a	DET
ejpam-3724	26	25	benzene	benzene	NOUN
ejpam-3724	26	26	ring	ring	NOUN
ejpam-3724	26	27	as	as	ADP
ejpam-3724	26	28	a	a	DET
ejpam-3724	26	29	hexagon	hexagon	NOUN
ejpam-3724	26	30	.	.	PUNCT
ejpam-3724	27	1	in	in	ADP
ejpam-3724	27	2	the	the	DET
ejpam-3724	27	3	literature	literature	NOUN
ejpam-3724	27	4	,	,	PUNCT
ejpam-3724	27	5	several	several	ADJ
ejpam-3724	27	6	degree	degree	NOUN
ejpam-3724	27	7	based	base	VERB
ejpam-3724	27	8	topological	topological	ADJ
ejpam-3724	27	9	indices	index	NOUN
ejpam-3724	27	10	have	have	AUX
ejpam-3724	27	11	been	be	AUX
ejpam-3724	27	12	introduced	introduce	VERB
ejpam-3724	27	13	and	and	CCONJ
ejpam-3724	27	14	studied	study	VERB
ejpam-3724	27	15	[	[	PUNCT
ejpam-3724	27	16	6	6	NUM
ejpam-3724	27	17	]	]	PUNCT
ejpam-3724	27	18	.	.	PUNCT
ejpam-3724	28	1	the	the	DET
ejpam-3724	28	2	most	most	ADV
ejpam-3724	28	3	studied	study	VERB
ejpam-3724	28	4	degree	degree	NOUN
ejpam-3724	28	5	based	base	VERB
ejpam-3724	28	6	topological	topological	ADJ
ejpam-3724	28	7	indices	index	NOUN
ejpam-3724	28	8	are	be	AUX
ejpam-3724	28	9	the	the	DET
ejpam-3724	28	10	family	family	NOUN
ejpam-3724	28	11	of	of	ADP
ejpam-3724	28	12	zagreb	zagreb	PROPN
ejpam-3724	28	13	indices	index	NOUN
ejpam-3724	28	14	,	,	PUNCT
ejpam-3724	28	15	[	[	X
ejpam-3724	28	16	1–4	1–4	NOUN
ejpam-3724	28	17	,	,	PUNCT
ejpam-3724	28	18	7	7	NUM
ejpam-3724	28	19	,	,	PUNCT
ejpam-3724	28	20	12	12	NUM
ejpam-3724	28	21	,	,	PUNCT
ejpam-3724	28	22	17	17	NUM
ejpam-3724	28	23	,	,	PUNCT
ejpam-3724	28	24	18	18	NUM
ejpam-3724	28	25	,	,	PUNCT
ejpam-3724	28	26	20–24	20–24	NUM
ejpam-3724	28	27	,	,	PUNCT
ejpam-3724	28	28	26–28	26–28	NOUN
ejpam-3724	28	29	]	]	PUNCT
ejpam-3724	28	30	.	.	PUNCT
ejpam-3724	29	1	the	the	DET
ejpam-3724	29	2	first	first	ADJ
ejpam-3724	29	3	and	and	CCONJ
ejpam-3724	29	4	second	second	ADJ
ejpam-3724	29	5	zagreb	zagreb	PROPN
ejpam-3724	29	6	indices	index	NOUN
ejpam-3724	29	7	of	of	ADP
ejpam-3724	29	8	a	a	DET
ejpam-3724	29	9	graph	graph	NOUN
ejpam-3724	29	10	g	g	NOUN
ejpam-3724	29	11	are	be	AUX
ejpam-3724	29	12	defined	define	VERB
ejpam-3724	29	13	by	by	ADP
ejpam-3724	29	14	m1(g	m1(g	NOUN
ejpam-3724	29	15	)	)	PUNCT
ejpam-3724	29	16	=	=	SYM
ejpam-3724	29	17	∑	∑	PUNCT
ejpam-3724	29	18	uv∈e(g	uv∈e(g	NUM
ejpam-3724	29	19	)	)	PUNCT
ejpam-3724	30	1	[	[	X
ejpam-3724	30	2	d(u	d(u	X
ejpam-3724	30	3	)	)	PUNCT
ejpam-3724	30	4	+	+	X
ejpam-3724	30	5	d(v	d(v	PROPN
ejpam-3724	30	6	)	)	PUNCT
ejpam-3724	30	7	]	]	PUNCT
ejpam-3724	30	8	and	and	CCONJ
ejpam-3724	30	9	m2(g	m2(g	NOUN
ejpam-3724	30	10	)	)	PUNCT
ejpam-3724	30	11	=	=	SYM
ejpam-3724	30	12	∑	∑	PUNCT
ejpam-3724	30	13	uv∈e(g	uv∈e(g	NOUN
ejpam-3724	30	14	)	)	PUNCT
ejpam-3724	30	15	d(u)d(v	d(u)d(v	NOUN
ejpam-3724	30	16	)	)	PUNCT
ejpam-3724	30	17	,	,	PUNCT
ejpam-3724	30	18	see	see	VERB
ejpam-3724	30	19	[	[	X
ejpam-3724	30	20	8	8	NUM
ejpam-3724	30	21	]	]	PUNCT
ejpam-3724	30	22	.	.	PUNCT
ejpam-3724	31	1	the	the	DET
ejpam-3724	31	2	transmission	transmission	NOUN
ejpam-3724	31	3	(	(	PUNCT
ejpam-3724	31	4	or	or	CCONJ
ejpam-3724	31	5	status	status	NOUN
ejpam-3724	31	6	)	)	PUNCT
ejpam-3724	31	7	of	of	ADP
ejpam-3724	31	8	a	a	DET
ejpam-3724	31	9	vertex	vertex	NOUN
ejpam-3724	31	10	u	u	NOUN
ejpam-3724	31	11	∈	∈	PROPN
ejpam-3724	31	12	v	v	NOUN
ejpam-3724	31	13	(	(	PUNCT
ejpam-3724	31	14	g	g	NOUN
ejpam-3724	31	15	)	)	PUNCT
ejpam-3724	31	16	,	,	PUNCT
ejpam-3724	31	17	[	[	X
ejpam-3724	31	18	9	9	NUM
ejpam-3724	31	19	,	,	PUNCT
ejpam-3724	31	20	16	16	NUM
ejpam-3724	31	21	]	]	PUNCT
ejpam-3724	31	22	,	,	PUNCT
ejpam-3724	31	23	denoted	denote	VERB
ejpam-3724	31	24	by	by	ADP
ejpam-3724	31	25	σ(u	σ(u	NOUN
ejpam-3724	31	26	)	)	PUNCT
ejpam-3724	31	27	,	,	PUNCT
ejpam-3724	31	28	is	be	AUX
ejpam-3724	31	29	defined	define	VERB
ejpam-3724	31	30	by	by	ADP
ejpam-3724	31	31	σ(u	σ(u	NOUN
ejpam-3724	31	32	)	)	PUNCT
ejpam-3724	31	33	=	=	PUNCT
ejpam-3724	31	34	∑	∑	PUNCT
ejpam-3724	31	35	v∈v	v∈v	NOUN
ejpam-3724	31	36	(	(	PUNCT
ejpam-3724	31	37	g	g	NOUN
ejpam-3724	31	38	)	)	PUNCT
ejpam-3724	31	39	d(u	d(u	PROPN
ejpam-3724	31	40	,	,	PUNCT
ejpam-3724	31	41	v	v	NOUN
ejpam-3724	31	42	)	)	PUNCT
ejpam-3724	31	43	.	.	PUNCT
ejpam-3724	32	1	the	the	DET
ejpam-3724	32	2	reciprocal	reciprocal	ADJ
ejpam-3724	32	3	transmission	transmission	NOUN
ejpam-3724	32	4	(	(	PUNCT
ejpam-3724	32	5	or	or	CCONJ
ejpam-3724	32	6	reciprocal	reciprocal	ADJ
ejpam-3724	32	7	status	status	NOUN
ejpam-3724	32	8	)	)	PUNCT
ejpam-3724	32	9	of	of	ADP
ejpam-3724	32	10	a	a	DET
ejpam-3724	32	11	vertex	vertex	NOUN
ejpam-3724	32	12	u	u	NOUN
ejpam-3724	32	13	∈	∈	PROPN
ejpam-3724	32	14	v	v	NOUN
ejpam-3724	32	15	(	(	PUNCT
ejpam-3724	32	16	g	g	NOUN
ejpam-3724	32	17	)	)	PUNCT
ejpam-3724	32	18	,	,	PUNCT
ejpam-3724	32	19	denoted	denote	VERB
ejpam-3724	32	20	by	by	ADP
ejpam-3724	32	21	rs(u	rs(u	PROPN
ejpam-3724	32	22	)	)	PUNCT
ejpam-3724	32	23	,	,	PUNCT
ejpam-3724	32	24	is	be	AUX
ejpam-3724	32	25	defined	define	VERB
ejpam-3724	32	26	by	by	ADP
ejpam-3724	32	27	rs(u	rs(u	ADJ
ejpam-3724	32	28	)	)	PUNCT
ejpam-3724	32	29	=	=	SYM
ejpam-3724	32	30	∑	∑	PUNCT
ejpam-3724	32	31	v∈v	v∈v	PROPN
ejpam-3724	32	32	(	(	PUNCT
ejpam-3724	32	33	g	g	NOUN
ejpam-3724	32	34	)	)	PUNCT
ejpam-3724	32	35	1	1	NUM
ejpam-3724	32	36	d(u	d(u	PROPN
ejpam-3724	32	37	,	,	PUNCT
ejpam-3724	32	38	v	v	NOUN
ejpam-3724	32	39	)	)	PUNCT
ejpam-3724	32	40	.	.	PUNCT
ejpam-3724	33	1	h.	h.	PROPN
ejpam-3724	33	2	s.	s.	PROPN
ejpam-3724	33	3	ramane	ramane	PROPN
ejpam-3724	33	4	,	,	PUNCT
ejpam-3724	33	5	s.	s.	PROPN
ejpam-3724	33	6	y.	y.	PROPN
ejpam-3724	33	7	talwar	talwar	PROPN
ejpam-3724	33	8	,	,	PUNCT
ejpam-3724	33	9	i.	i.	PROPN
ejpam-3724	33	10	n.	n.	PROPN
ejpam-3724	33	11	cangul	cangul	PROPN
ejpam-3724	33	12	/	/	SYM
ejpam-3724	33	13	eur	eur	NOUN
ejpam-3724	33	14	.	.	PUNCT
ejpam-3724	34	1	j.	j.	PROPN
ejpam-3724	34	2	pure	pure	PROPN
ejpam-3724	34	3	appl	appl	PROPN
ejpam-3724	34	4	.	.	PROPN
ejpam-3724	34	5	math	math	PROPN
ejpam-3724	34	6	,	,	PUNCT
ejpam-3724	34	7	13	13	NUM
ejpam-3724	34	8	(	(	PUNCT
ejpam-3724	34	9	5	5	NUM
ejpam-3724	34	10	)	)	PUNCT
ejpam-3724	34	11	(	(	PUNCT
ejpam-3724	34	12	2020	2020	NUM
ejpam-3724	34	13	)	)	PUNCT
ejpam-3724	34	14	,	,	PUNCT
ejpam-3724	34	15	1057	1057	NUM
ejpam-3724	34	16	-	-	SYM
ejpam-3724	34	17	1071	1071	NUM
ejpam-3724	34	18	1059	1059	NUM
ejpam-3724	34	19	the	the	DET
ejpam-3724	34	20	oldest	old	ADJ
ejpam-3724	34	21	transmission	transmission	NOUN
ejpam-3724	34	22	based	base	VERB
ejpam-3724	34	23	topological	topological	ADJ
ejpam-3724	34	24	index	index	NOUN
ejpam-3724	34	25	is	be	AUX
ejpam-3724	34	26	the	the	DET
ejpam-3724	34	27	wiener	wiener	NOUN
ejpam-3724	34	28	index	index	NOUN
ejpam-3724	35	1	[	[	X
ejpam-3724	35	2	25	25	NUM
ejpam-3724	35	3	]	]	PUNCT
ejpam-3724	35	4	defined	define	VERB
ejpam-3724	35	5	by	by	ADP
ejpam-3724	35	6	w	w	PROPN
ejpam-3724	35	7	(	(	PUNCT
ejpam-3724	35	8	g	g	NOUN
ejpam-3724	35	9	)	)	PUNCT
ejpam-3724	35	10	=	=	PUNCT
ejpam-3724	35	11	∑	∑	PUNCT
ejpam-3724	35	12	{	{	PUNCT
ejpam-3724	35	13	u	u	NOUN
ejpam-3724	35	14	,	,	PUNCT
ejpam-3724	35	15	v}⊆v	v}⊆v	PROPN
ejpam-3724	35	16	(	(	PUNCT
ejpam-3724	35	17	g	g	NOUN
ejpam-3724	35	18	)	)	PUNCT
ejpam-3724	35	19	d(u	d(u	PROPN
ejpam-3724	35	20	,	,	PUNCT
ejpam-3724	35	21	v	v	NOUN
ejpam-3724	35	22	)	)	PUNCT
ejpam-3724	35	23	=	=	SYM
ejpam-3724	35	24	1	1	NUM
ejpam-3724	35	25	2	2	NUM
ejpam-3724	35	26	∑	∑	NOUN
ejpam-3724	35	27	u∈v	u∈v	NOUN
ejpam-3724	35	28	(	(	PUNCT
ejpam-3724	35	29	g	g	NOUN
ejpam-3724	35	30	)	)	PUNCT
ejpam-3724	35	31	σ(u	σ(u	NOUN
ejpam-3724	35	32	)	)	PUNCT
ejpam-3724	35	33	.	.	PUNCT
ejpam-3724	36	1	the	the	DET
ejpam-3724	36	2	wiener	wiener	NOUN
ejpam-3724	36	3	index	index	NOUN
ejpam-3724	36	4	is	be	AUX
ejpam-3724	36	5	also	also	ADV
ejpam-3724	36	6	called	call	VERB
ejpam-3724	36	7	as	as	ADP
ejpam-3724	36	8	gross	gross	ADJ
ejpam-3724	36	9	status	status	NOUN
ejpam-3724	36	10	or	or	CCONJ
ejpam-3724	36	11	total	total	ADJ
ejpam-3724	36	12	status	status	NOUN
ejpam-3724	36	13	,	,	PUNCT
ejpam-3724	36	14	[	[	X
ejpam-3724	36	15	9	9	NUM
ejpam-3724	36	16	]	]	PUNCT
ejpam-3724	36	17	.	.	PUNCT
ejpam-3724	37	1	the	the	DET
ejpam-3724	37	2	transmission	transmission	NOUN
ejpam-3724	37	3	sum	sum	NOUN
ejpam-3724	37	4	-	-	PUNCT
ejpam-3724	37	5	connectivity	connectivity	NOUN
ejpam-3724	37	6	index	index	NOUN
ejpam-3724	37	7	of	of	ADP
ejpam-3724	37	8	a	a	DET
ejpam-3724	37	9	graph	graph	NOUN
ejpam-3724	37	10	g	g	NOUN
ejpam-3724	37	11	,	,	PUNCT
ejpam-3724	37	12	[	[	X
ejpam-3724	37	13	19	19	NUM
ejpam-3724	37	14	]	]	PUNCT
ejpam-3724	37	15	,	,	PUNCT
ejpam-3724	37	16	denoted	denote	VERB
ejpam-3724	37	17	by	by	ADP
ejpam-3724	37	18	tsc(g	tsc(g	PROPN
ejpam-3724	37	19	)	)	PUNCT
ejpam-3724	37	20	,	,	PUNCT
ejpam-3724	37	21	is	be	AUX
ejpam-3724	37	22	defined	define	VERB
ejpam-3724	37	23	by	by	ADP
ejpam-3724	37	24	tsc(g	tsc(g	PROPN
ejpam-3724	37	25	)	)	PUNCT
ejpam-3724	37	26	=	=	SYM
ejpam-3724	37	27	∑	∑	PUNCT
ejpam-3724	37	28	uv∈e(g	uv∈e(g	NUM
ejpam-3724	37	29	)	)	PUNCT
ejpam-3724	37	30	1√	1√	ADJ
ejpam-3724	37	31	σ(u	σ(u	NOUN
ejpam-3724	37	32	)	)	PUNCT
ejpam-3724	38	1	+	+	CCONJ
ejpam-3724	38	2	σ(v	σ(v	NOUN
ejpam-3724	38	3	)	)	PUNCT
ejpam-3724	38	4	.	.	PUNCT
ejpam-3724	39	1	the	the	DET
ejpam-3724	39	2	transmission	transmission	NOUN
ejpam-3724	39	3	geometric	geometric	ADJ
ejpam-3724	39	4	-	-	PUNCT
ejpam-3724	39	5	arithmetic	arithmetic	ADJ
ejpam-3724	39	6	index	index	NOUN
ejpam-3724	39	7	of	of	ADP
ejpam-3724	39	8	a	a	DET
ejpam-3724	39	9	graph	graph	NOUN
ejpam-3724	39	10	g	g	NOUN
ejpam-3724	39	11	,	,	PUNCT
ejpam-3724	39	12	[	[	X
ejpam-3724	39	13	11	11	NUM
ejpam-3724	39	14	]	]	PUNCT
ejpam-3724	39	15	,	,	PUNCT
ejpam-3724	39	16	denoted	denote	VERB
ejpam-3724	39	17	by	by	ADP
ejpam-3724	39	18	tga(g	tga(g	PROPN
ejpam-3724	39	19	)	)	PUNCT
ejpam-3724	39	20	,	,	PUNCT
ejpam-3724	39	21	is	be	AUX
ejpam-3724	39	22	defined	define	VERB
ejpam-3724	39	23	by	by	ADP
ejpam-3724	39	24	tga(g	tga(g	PROPN
ejpam-3724	39	25	)	)	PUNCT
ejpam-3724	39	26	=	=	SYM
ejpam-3724	39	27	∑	∑	PUNCT
ejpam-3724	39	28	uv∈e(g	uv∈e(g	NUM
ejpam-3724	39	29	)	)	PUNCT
ejpam-3724	40	1	2	2	NUM
ejpam-3724	40	2	√	√	NUM
ejpam-3724	40	3	σ(u)σ(v	σ(u)σ(v	NOUN
ejpam-3724	40	4	)	)	PUNCT
ejpam-3724	40	5	σ(u	σ(u	NOUN
ejpam-3724	40	6	)	)	PUNCT
ejpam-3724	41	1	+	+	CCONJ
ejpam-3724	41	2	σ(v	σ(v	NOUN
ejpam-3724	41	3	)	)	PUNCT
ejpam-3724	41	4	.	.	PUNCT
ejpam-3724	42	1	the	the	DET
ejpam-3724	42	2	transmission	transmission	NOUN
ejpam-3724	42	3	arithmetic	arithmetic	ADJ
ejpam-3724	42	4	-	-	PUNCT
ejpam-3724	42	5	geometric	geometric	ADJ
ejpam-3724	42	6	index	index	NOUN
ejpam-3724	42	7	of	of	ADP
ejpam-3724	42	8	a	a	DET
ejpam-3724	42	9	graph	graph	NOUN
ejpam-3724	42	10	g	g	NOUN
ejpam-3724	42	11	,	,	PUNCT
ejpam-3724	42	12	[	[	X
ejpam-3724	42	13	15	15	NUM
ejpam-3724	42	14	]	]	PUNCT
ejpam-3724	42	15	,	,	PUNCT
ejpam-3724	42	16	denoted	denote	VERB
ejpam-3724	42	17	by	by	ADP
ejpam-3724	42	18	tag(g	tag(g	PROPN
ejpam-3724	42	19	)	)	PUNCT
ejpam-3724	42	20	,	,	PUNCT
ejpam-3724	42	21	is	be	AUX
ejpam-3724	42	22	defined	define	VERB
ejpam-3724	42	23	by	by	ADP
ejpam-3724	42	24	tag(g	tag(g	PRON
ejpam-3724	42	25	)	)	PUNCT
ejpam-3724	42	26	=	=	SYM
ejpam-3724	42	27	∑	∑	PUNCT
ejpam-3724	42	28	uv∈e(g	uv∈e(g	NUM
ejpam-3724	42	29	)	)	PUNCT
ejpam-3724	42	30	σ(u	σ(u	NOUN
ejpam-3724	42	31	)	)	PUNCT
ejpam-3724	43	1	+	+	CCONJ
ejpam-3724	43	2	σ(v	σ(v	NOUN
ejpam-3724	43	3	)	)	PUNCT
ejpam-3724	43	4	2	2	NUM
ejpam-3724	43	5	√	√	NOUN
ejpam-3724	43	6	σ(u)σ(v	σ(u)σ(v	NOUN
ejpam-3724	43	7	)	)	PUNCT
ejpam-3724	43	8	.	.	PUNCT
ejpam-3724	44	1	the	the	DET
ejpam-3724	44	2	transmission	transmission	NOUN
ejpam-3724	44	3	atom	atom	NOUN
ejpam-3724	44	4	-	-	PUNCT
ejpam-3724	44	5	bond	bond	NOUN
ejpam-3724	44	6	connectivity	connectivity	NOUN
ejpam-3724	44	7	index	index	NOUN
ejpam-3724	44	8	of	of	ADP
ejpam-3724	44	9	a	a	DET
ejpam-3724	44	10	graphg	graphg	NOUN
ejpam-3724	44	11	,	,	PUNCT
ejpam-3724	44	12	[	[	X
ejpam-3724	44	13	15	15	NUM
ejpam-3724	44	14	]	]	PUNCT
ejpam-3724	44	15	,	,	PUNCT
ejpam-3724	44	16	denoted	denote	VERB
ejpam-3724	44	17	by	by	ADP
ejpam-3724	44	18	tabc(g	tabc(g	PROPN
ejpam-3724	44	19	)	)	PUNCT
ejpam-3724	44	20	,	,	PUNCT
ejpam-3724	44	21	is	be	AUX
ejpam-3724	44	22	defined	define	VERB
ejpam-3724	44	23	by	by	ADP
ejpam-3724	44	24	tabc(g	tabc(g	NOUN
ejpam-3724	44	25	)	)	PUNCT
ejpam-3724	44	26	=	=	SYM
ejpam-3724	44	27	∑	∑	PUNCT
ejpam-3724	44	28	uv∈e(g	uv∈e(g	NUM
ejpam-3724	44	29	)	)	PUNCT
ejpam-3724	44	30	√	√	NUM
ejpam-3724	44	31	σ(u	σ(u	NOUN
ejpam-3724	44	32	)	)	PUNCT
ejpam-3724	45	1	+	+	CCONJ
ejpam-3724	45	2	σ(v)−	σ(v)−	ADJ
ejpam-3724	45	3	2	2	NUM
ejpam-3724	45	4	σ(u)σ(v	σ(u)σ(v	NOUN
ejpam-3724	45	5	)	)	PUNCT
ejpam-3724	45	6	.	.	PUNCT
ejpam-3724	46	1	the	the	DET
ejpam-3724	46	2	transmission	transmission	NOUN
ejpam-3724	46	3	augmented	augment	VERB
ejpam-3724	46	4	zagreb	zagreb	PROPN
ejpam-3724	46	5	index	index	NOUN
ejpam-3724	46	6	of	of	ADP
ejpam-3724	46	7	a	a	DET
ejpam-3724	46	8	graph	graph	NOUN
ejpam-3724	46	9	g	g	NOUN
ejpam-3724	46	10	,	,	PUNCT
ejpam-3724	46	11	[	[	X
ejpam-3724	46	12	15	15	NUM
ejpam-3724	46	13	]	]	PUNCT
ejpam-3724	46	14	,	,	PUNCT
ejpam-3724	46	15	denoted	denote	VERB
ejpam-3724	46	16	by	by	ADP
ejpam-3724	46	17	taz(g	taz(g	NOUN
ejpam-3724	46	18	)	)	PUNCT
ejpam-3724	46	19	,	,	PUNCT
ejpam-3724	46	20	is	be	AUX
ejpam-3724	46	21	defined	define	VERB
ejpam-3724	46	22	by	by	ADP
ejpam-3724	46	23	taz(g	taz(g	NOUN
ejpam-3724	46	24	)	)	PUNCT
ejpam-3724	46	25	=	=	SYM
ejpam-3724	46	26	∑	∑	PUNCT
ejpam-3724	46	27	uv∈e(g	uv∈e(g	NUM
ejpam-3724	46	28	)	)	PUNCT
ejpam-3724	46	29	[	[	PUNCT
ejpam-3724	46	30	σ(u)σ(v	σ(u)σ(v	NOUN
ejpam-3724	46	31	)	)	PUNCT
ejpam-3724	46	32	σ(u	σ(u	NOUN
ejpam-3724	46	33	)	)	PUNCT
ejpam-3724	47	1	+	+	CCONJ
ejpam-3724	48	1	σ(v)−	σ(v)−	NUM
ejpam-3724	48	2	2	2	NUM
ejpam-3724	48	3	]	]	SYM
ejpam-3724	48	4	3	3	NUM
ejpam-3724	48	5	.	.	PUNCT
ejpam-3724	49	1	the	the	DET
ejpam-3724	49	2	reciprocal	reciprocal	ADJ
ejpam-3724	49	3	transmission	transmission	NOUN
ejpam-3724	49	4	arithmetic	arithmetic	ADJ
ejpam-3724	49	5	-	-	PUNCT
ejpam-3724	49	6	geometric	geometric	ADJ
ejpam-3724	49	7	index	index	NOUN
ejpam-3724	49	8	of	of	ADP
ejpam-3724	49	9	a	a	DET
ejpam-3724	49	10	graph	graph	NOUN
ejpam-3724	49	11	g	g	NOUN
ejpam-3724	49	12	,	,	PUNCT
ejpam-3724	49	13	[	[	X
ejpam-3724	49	14	14	14	NUM
ejpam-3724	49	15	]	]	PUNCT
ejpam-3724	49	16	,	,	PUNCT
ejpam-3724	49	17	is	be	AUX
ejpam-3724	49	18	denoted	denote	VERB
ejpam-3724	49	19	by	by	ADP
ejpam-3724	49	20	rtag(g	rtag(g	NOUN
ejpam-3724	49	21	)	)	PUNCT
ejpam-3724	49	22	and	and	CCONJ
ejpam-3724	49	23	it	it	PRON
ejpam-3724	49	24	is	be	AUX
ejpam-3724	49	25	defined	define	VERB
ejpam-3724	49	26	by	by	ADP
ejpam-3724	49	27	rtag(g	rtag(g	NOUN
ejpam-3724	49	28	)	)	PUNCT
ejpam-3724	49	29	=	=	SYM
ejpam-3724	49	30	∑	∑	PUNCT
ejpam-3724	49	31	uv∈e(g	uv∈e(g	NUM
ejpam-3724	49	32	)	)	PUNCT
ejpam-3724	49	33	rs(u	rs(u	ADJ
ejpam-3724	49	34	)	)	PUNCT
ejpam-3724	50	1	+	+	SYM
ejpam-3724	50	2	rs(v	rs(v	NOUN
ejpam-3724	50	3	)	)	PUNCT
ejpam-3724	50	4	2	2	NUM
ejpam-3724	50	5	√	√	NUM
ejpam-3724	50	6	rs(u)rs(v	rs(u)rs(v	PROPN
ejpam-3724	50	7	)	)	PUNCT
ejpam-3724	50	8	.	.	PUNCT
ejpam-3724	51	1	(	(	PUNCT
ejpam-3724	51	2	1	1	X
ejpam-3724	51	3	)	)	PUNCT
ejpam-3724	51	4	the	the	DET
ejpam-3724	51	5	reciprocal	reciprocal	ADJ
ejpam-3724	51	6	transmission	transmission	NOUN
ejpam-3724	51	7	geometric	geometric	ADJ
ejpam-3724	51	8	-	-	PUNCT
ejpam-3724	51	9	arithmetic	arithmetic	ADJ
ejpam-3724	51	10	index	index	NOUN
ejpam-3724	51	11	of	of	ADP
ejpam-3724	51	12	a	a	DET
ejpam-3724	51	13	graph	graph	NOUN
ejpam-3724	51	14	g	g	NOUN
ejpam-3724	51	15	,	,	PUNCT
ejpam-3724	51	16	[	[	X
ejpam-3724	51	17	14	14	NUM
ejpam-3724	51	18	]	]	PUNCT
ejpam-3724	51	19	,	,	PUNCT
ejpam-3724	51	20	is	be	AUX
ejpam-3724	51	21	denoted	denote	VERB
ejpam-3724	51	22	by	by	ADP
ejpam-3724	51	23	rtga(g	rtga(g	PROPN
ejpam-3724	51	24	)	)	PUNCT
ejpam-3724	51	25	and	and	CCONJ
ejpam-3724	51	26	it	it	PRON
ejpam-3724	51	27	is	be	AUX
ejpam-3724	51	28	defined	define	VERB
ejpam-3724	51	29	by	by	ADP
ejpam-3724	51	30	rtga(g	rtga(g	PROPN
ejpam-3724	51	31	)	)	PUNCT
ejpam-3724	51	32	=	=	SYM
ejpam-3724	51	33	∑	∑	PUNCT
ejpam-3724	51	34	uv∈e(g	uv∈e(g	NUM
ejpam-3724	51	35	)	)	PUNCT
ejpam-3724	51	36	2	2	NUM
ejpam-3724	51	37	√	√	NUM
ejpam-3724	51	38	rs(u)rs(v	rs(u)rs(v	PROPN
ejpam-3724	51	39	)	)	PUNCT
ejpam-3724	51	40	rs(u	rs(u	NOUN
ejpam-3724	51	41	)	)	PUNCT
ejpam-3724	52	1	+	+	NUM
ejpam-3724	52	2	rs(v	rs(v	NOUN
ejpam-3724	52	3	)	)	PUNCT
ejpam-3724	52	4	.	.	PUNCT
ejpam-3724	53	1	(	(	PUNCT
ejpam-3724	53	2	2	2	X
ejpam-3724	53	3	)	)	PUNCT
ejpam-3724	53	4	h.	h.	PROPN
ejpam-3724	53	5	s.	s.	PROPN
ejpam-3724	53	6	ramane	ramane	PROPN
ejpam-3724	53	7	,	,	PUNCT
ejpam-3724	53	8	s.	s.	PROPN
ejpam-3724	53	9	y.	y.	PROPN
ejpam-3724	53	10	talwar	talwar	PROPN
ejpam-3724	53	11	,	,	PUNCT
ejpam-3724	53	12	i.	i.	PROPN
ejpam-3724	53	13	n.	n.	PROPN
ejpam-3724	53	14	cangul	cangul	PROPN
ejpam-3724	53	15	/	/	SYM
ejpam-3724	53	16	eur	eur	NOUN
ejpam-3724	53	17	.	.	PUNCT
ejpam-3724	54	1	j.	j.	PROPN
ejpam-3724	54	2	pure	pure	PROPN
ejpam-3724	54	3	appl	appl	PROPN
ejpam-3724	54	4	.	.	PROPN
ejpam-3724	54	5	math	math	PROPN
ejpam-3724	54	6	,	,	PUNCT
ejpam-3724	54	7	13	13	NUM
ejpam-3724	54	8	(	(	PUNCT
ejpam-3724	54	9	5	5	NUM
ejpam-3724	54	10	)	)	PUNCT
ejpam-3724	54	11	(	(	PUNCT
ejpam-3724	54	12	2020	2020	NUM
ejpam-3724	54	13	)	)	PUNCT
ejpam-3724	54	14	,	,	PUNCT
ejpam-3724	54	15	1057	1057	NUM
ejpam-3724	54	16	-	-	SYM
ejpam-3724	54	17	1071	1071	NUM
ejpam-3724	54	18	1060	1060	NUM
ejpam-3724	54	19	the	the	DET
ejpam-3724	54	20	reciprocal	reciprocal	ADJ
ejpam-3724	54	21	transmission	transmission	NOUN
ejpam-3724	54	22	sum	sum	NOUN
ejpam-3724	54	23	-	-	PUNCT
ejpam-3724	54	24	connectivity	connectivity	NOUN
ejpam-3724	54	25	index	index	NOUN
ejpam-3724	54	26	of	of	ADP
ejpam-3724	54	27	a	a	DET
ejpam-3724	54	28	graph	graph	NOUN
ejpam-3724	54	29	g	g	NOUN
ejpam-3724	54	30	,	,	PUNCT
ejpam-3724	54	31	[	[	X
ejpam-3724	54	32	14	14	NUM
ejpam-3724	54	33	]	]	PUNCT
ejpam-3724	54	34	,	,	PUNCT
ejpam-3724	54	35	is	be	AUX
ejpam-3724	54	36	denoted	denote	VERB
ejpam-3724	54	37	by	by	ADP
ejpam-3724	54	38	rtsc(g	rtsc(g	PROPN
ejpam-3724	54	39	)	)	PUNCT
ejpam-3724	54	40	and	and	CCONJ
ejpam-3724	54	41	it	it	PRON
ejpam-3724	54	42	is	be	AUX
ejpam-3724	54	43	defined	define	VERB
ejpam-3724	54	44	by	by	ADP
ejpam-3724	54	45	rtsc(g	rtsc(g	NOUN
ejpam-3724	54	46	)	)	PUNCT
ejpam-3724	54	47	=	=	SYM
ejpam-3724	54	48	∑	∑	PUNCT
ejpam-3724	54	49	uv∈e(g	uv∈e(g	NUM
ejpam-3724	54	50	)	)	PUNCT
ejpam-3724	54	51	1√	1√	NOUN
ejpam-3724	54	52	rs(u	rs(u	NOUN
ejpam-3724	54	53	)	)	PUNCT
ejpam-3724	55	1	+	+	NUM
ejpam-3724	55	2	rs(v	rs(v	NOUN
ejpam-3724	55	3	)	)	PUNCT
ejpam-3724	55	4	.	.	PUNCT
ejpam-3724	56	1	(	(	PUNCT
ejpam-3724	56	2	3	3	X
ejpam-3724	56	3	)	)	PUNCT
ejpam-3724	56	4	the	the	DET
ejpam-3724	56	5	reciprocal	reciprocal	ADJ
ejpam-3724	56	6	transmission	transmission	NOUN
ejpam-3724	56	7	atom	atom	NOUN
ejpam-3724	56	8	-	-	PUNCT
ejpam-3724	56	9	bond	bond	NOUN
ejpam-3724	56	10	connectivity	connectivity	NOUN
ejpam-3724	56	11	index	index	NOUN
ejpam-3724	56	12	of	of	ADP
ejpam-3724	56	13	a	a	DET
ejpam-3724	56	14	graphg	graphg	NOUN
ejpam-3724	56	15	,	,	PUNCT
ejpam-3724	56	16	[	[	X
ejpam-3724	56	17	14	14	NUM
ejpam-3724	56	18	]	]	PUNCT
ejpam-3724	56	19	,	,	PUNCT
ejpam-3724	56	20	is	be	AUX
ejpam-3724	56	21	denoted	denote	VERB
ejpam-3724	56	22	by	by	ADP
ejpam-3724	56	23	rtabc(g	rtabc(g	NOUN
ejpam-3724	56	24	)	)	PUNCT
ejpam-3724	56	25	and	and	CCONJ
ejpam-3724	56	26	it	it	PRON
ejpam-3724	56	27	is	be	AUX
ejpam-3724	56	28	defined	define	VERB
ejpam-3724	56	29	by	by	ADP
ejpam-3724	56	30	rtabc(g	rtabc(g	NOUN
ejpam-3724	56	31	)	)	PUNCT
ejpam-3724	56	32	=	=	SYM
ejpam-3724	56	33	∑	∑	PUNCT
ejpam-3724	56	34	uv∈e(g	uv∈e(g	NUM
ejpam-3724	56	35	)	)	PUNCT
ejpam-3724	56	36	√	√	ADP
ejpam-3724	56	37	rs(u	rs(u	NOUN
ejpam-3724	56	38	)	)	PUNCT
ejpam-3724	57	1	+	+	CCONJ
ejpam-3724	57	2	rs(v)−	rs(v)−	ADJ
ejpam-3724	57	3	2	2	NUM
ejpam-3724	57	4	rs(u)rs(v	rs(u)rs(v	NOUN
ejpam-3724	57	5	)	)	PUNCT
ejpam-3724	57	6	.	.	PUNCT
ejpam-3724	58	1	(	(	PUNCT
ejpam-3724	58	2	4	4	X
ejpam-3724	58	3	)	)	PUNCT
ejpam-3724	58	4	the	the	DET
ejpam-3724	58	5	reciprocal	reciprocal	ADJ
ejpam-3724	58	6	transmission	transmission	NOUN
ejpam-3724	58	7	augmented	augment	VERB
ejpam-3724	58	8	zagreb	zagreb	PROPN
ejpam-3724	58	9	index	index	NOUN
ejpam-3724	58	10	of	of	ADP
ejpam-3724	58	11	a	a	DET
ejpam-3724	58	12	graph	graph	NOUN
ejpam-3724	58	13	g	g	NOUN
ejpam-3724	58	14	,	,	PUNCT
ejpam-3724	58	15	[	[	X
ejpam-3724	58	16	14	14	NUM
ejpam-3724	58	17	]	]	PUNCT
ejpam-3724	58	18	,	,	PUNCT
ejpam-3724	58	19	is	be	AUX
ejpam-3724	58	20	denoted	denote	VERB
ejpam-3724	58	21	by	by	ADP
ejpam-3724	58	22	rtaz(g	rtaz(g	PROPN
ejpam-3724	58	23	)	)	PUNCT
ejpam-3724	58	24	and	and	CCONJ
ejpam-3724	58	25	it	it	PRON
ejpam-3724	58	26	is	be	AUX
ejpam-3724	58	27	defined	define	VERB
ejpam-3724	58	28	by	by	ADP
ejpam-3724	58	29	rtaz(g	rtaz(g	PROPN
ejpam-3724	58	30	)	)	PUNCT
ejpam-3724	58	31	=	=	SYM
ejpam-3724	58	32	∑	∑	PUNCT
ejpam-3724	58	33	uv∈e(g	uv∈e(g	NUM
ejpam-3724	58	34	)	)	PUNCT
ejpam-3724	58	35	[	[	PUNCT
ejpam-3724	58	36	rs(u)rs(v	rs(u)rs(v	PROPN
ejpam-3724	58	37	)	)	PUNCT
ejpam-3724	58	38	rs(u	rs(u	NOUN
ejpam-3724	58	39	)	)	PUNCT
ejpam-3724	59	1	+	+	CCONJ
ejpam-3724	59	2	rs(v)−	rs(v)−	ADJ
ejpam-3724	59	3	2	2	NUM
ejpam-3724	59	4	]	]	SYM
ejpam-3724	59	5	3	3	NUM
ejpam-3724	59	6	.	.	PUNCT
ejpam-3724	60	1	(	(	PUNCT
ejpam-3724	60	2	5	5	NUM
ejpam-3724	60	3	)	)	PUNCT
ejpam-3724	60	4	in	in	ADP
ejpam-3724	60	5	the	the	DET
ejpam-3724	60	6	next	next	ADJ
ejpam-3724	60	7	section	section	NOUN
ejpam-3724	60	8	,	,	PUNCT
ejpam-3724	60	9	we	we	PRON
ejpam-3724	60	10	obtain	obtain	VERB
ejpam-3724	60	11	bounds	bound	NOUN
ejpam-3724	60	12	for	for	ADP
ejpam-3724	60	13	the	the	DET
ejpam-3724	60	14	other	other	ADJ
ejpam-3724	60	15	transmission	transmission	NOUN
ejpam-3724	60	16	and	and	CCONJ
ejpam-3724	60	17	reciprocal	reciprocal	ADJ
ejpam-3724	60	18	transmissionbased	transmissionbase	VERB
ejpam-3724	60	19	topological	topological	ADJ
ejpam-3724	60	20	co	co	NOUN
ejpam-3724	60	21	-	-	NOUN
ejpam-3724	60	22	indices	index	NOUN
ejpam-3724	60	23	.	.	PUNCT
ejpam-3724	61	1	now	now	ADV
ejpam-3724	61	2	we	we	PRON
ejpam-3724	61	3	define	define	VERB
ejpam-3724	61	4	the	the	DET
ejpam-3724	61	5	following	follow	VERB
ejpam-3724	61	6	transmission	transmission	NOUN
ejpam-3724	61	7	and	and	CCONJ
ejpam-3724	61	8	reciprocal	reciprocal	ADJ
ejpam-3724	61	9	transmission	transmission	NOUN
ejpam-3724	61	10	based	base	VERB
ejpam-3724	61	11	topological	topological	PROPN
ejpam-3724	61	12	co	co	NOUN
ejpam-3724	61	13	-	-	NOUN
ejpam-3724	61	14	indices	index	NOUN
ejpam-3724	61	15	of	of	ADP
ejpam-3724	61	16	graphs	graph	NOUN
ejpam-3724	61	17	.	.	PUNCT
ejpam-3724	62	1	the	the	DET
ejpam-3724	62	2	transmission	transmission	NOUN
ejpam-3724	62	3	sum	sum	NOUN
ejpam-3724	62	4	-	-	PUNCT
ejpam-3724	62	5	connectivity	connectivity	NOUN
ejpam-3724	62	6	co	co	NOUN
ejpam-3724	62	7	-	-	NOUN
ejpam-3724	62	8	index	index	NOUN
ejpam-3724	62	9	of	of	ADP
ejpam-3724	62	10	a	a	DET
ejpam-3724	62	11	graph	graph	NOUN
ejpam-3724	62	12	g	g	NOUN
ejpam-3724	62	13	,	,	PUNCT
ejpam-3724	62	14	denoted	denote	VERB
ejpam-3724	62	15	by	by	ADP
ejpam-3724	62	16	tsc(g	tsc(g	PROPN
ejpam-3724	62	17	)	)	PUNCT
ejpam-3724	62	18	,	,	PUNCT
ejpam-3724	62	19	is	be	AUX
ejpam-3724	62	20	defined	define	VERB
ejpam-3724	62	21	by	by	ADP
ejpam-3724	62	22	tsc(g	tsc(g	PROPN
ejpam-3724	62	23	)	)	PUNCT
ejpam-3724	63	1	=	=	SYM
ejpam-3724	63	2	∑	∑	PUNCT
ejpam-3724	63	3	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	63	4	)	)	PUNCT
ejpam-3724	63	5	1√	1√	PROPN
ejpam-3724	63	6	σ(u	σ(u	NOUN
ejpam-3724	63	7	)	)	PUNCT
ejpam-3724	64	1	+	+	CCONJ
ejpam-3724	64	2	σ(v	σ(v	NOUN
ejpam-3724	64	3	)	)	PUNCT
ejpam-3724	64	4	.	.	PUNCT
ejpam-3724	65	1	the	the	DET
ejpam-3724	65	2	transmission	transmission	NOUN
ejpam-3724	65	3	geometric	geometric	ADJ
ejpam-3724	65	4	-	-	PUNCT
ejpam-3724	65	5	arithmetic	arithmetic	ADJ
ejpam-3724	65	6	co	co	NOUN
ejpam-3724	65	7	-	-	NOUN
ejpam-3724	65	8	index	index	NOUN
ejpam-3724	65	9	of	of	ADP
ejpam-3724	65	10	a	a	DET
ejpam-3724	65	11	graph	graph	NOUN
ejpam-3724	65	12	g	g	NOUN
ejpam-3724	65	13	,	,	PUNCT
ejpam-3724	65	14	denoted	denote	VERB
ejpam-3724	65	15	by	by	ADP
ejpam-3724	65	16	tga(g	tga(g	PROPN
ejpam-3724	65	17	)	)	PUNCT
ejpam-3724	65	18	,	,	PUNCT
ejpam-3724	65	19	is	be	AUX
ejpam-3724	65	20	defined	define	VERB
ejpam-3724	65	21	by	by	ADP
ejpam-3724	65	22	tga(g	tga(g	PROPN
ejpam-3724	65	23	)	)	PUNCT
ejpam-3724	65	24	=	=	SYM
ejpam-3724	65	25	∑	∑	PUNCT
ejpam-3724	65	26	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	65	27	)	)	PUNCT
ejpam-3724	66	1	2	2	NUM
ejpam-3724	66	2	√	√	NUM
ejpam-3724	66	3	σ(u)σ(v	σ(u)σ(v	NOUN
ejpam-3724	66	4	)	)	PUNCT
ejpam-3724	66	5	σ(u	σ(u	NOUN
ejpam-3724	66	6	)	)	PUNCT
ejpam-3724	67	1	+	+	CCONJ
ejpam-3724	67	2	σ(v	σ(v	NOUN
ejpam-3724	67	3	)	)	PUNCT
ejpam-3724	67	4	.	.	PUNCT
ejpam-3724	68	1	the	the	DET
ejpam-3724	68	2	transmission	transmission	NOUN
ejpam-3724	68	3	arithmetic	arithmetic	ADJ
ejpam-3724	68	4	-	-	PUNCT
ejpam-3724	68	5	geometric	geometric	ADJ
ejpam-3724	68	6	co	co	NOUN
ejpam-3724	68	7	-	-	NOUN
ejpam-3724	68	8	index	index	NOUN
ejpam-3724	68	9	of	of	ADP
ejpam-3724	68	10	a	a	DET
ejpam-3724	68	11	graph	graph	NOUN
ejpam-3724	68	12	g	g	NOUN
ejpam-3724	68	13	,	,	PUNCT
ejpam-3724	68	14	denoted	denote	VERB
ejpam-3724	68	15	by	by	ADP
ejpam-3724	68	16	tag(g	tag(g	PROPN
ejpam-3724	68	17	)	)	PUNCT
ejpam-3724	68	18	,	,	PUNCT
ejpam-3724	68	19	is	be	AUX
ejpam-3724	68	20	defined	define	VERB
ejpam-3724	68	21	by	by	ADP
ejpam-3724	68	22	tag(g	tag(g	PRON
ejpam-3724	68	23	)	)	PUNCT
ejpam-3724	69	1	=	=	SYM
ejpam-3724	69	2	∑	∑	PUNCT
ejpam-3724	69	3	uv/∈e(g	uv/∈e(g	NOUN
ejpam-3724	69	4	)	)	PUNCT
ejpam-3724	69	5	σ(u	σ(u	NOUN
ejpam-3724	69	6	)	)	PUNCT
ejpam-3724	70	1	+	+	CCONJ
ejpam-3724	70	2	σ(v	σ(v	NOUN
ejpam-3724	70	3	)	)	PUNCT
ejpam-3724	70	4	2	2	NUM
ejpam-3724	70	5	√	√	NOUN
ejpam-3724	70	6	σ(u)σ(v	σ(u)σ(v	NOUN
ejpam-3724	70	7	)	)	PUNCT
ejpam-3724	70	8	.	.	PUNCT
ejpam-3724	71	1	the	the	DET
ejpam-3724	71	2	transmission	transmission	NOUN
ejpam-3724	71	3	atom	atom	NOUN
ejpam-3724	71	4	-	-	PUNCT
ejpam-3724	71	5	bond	bond	NOUN
ejpam-3724	71	6	connectivity	connectivity	NOUN
ejpam-3724	71	7	co	co	NOUN
ejpam-3724	71	8	-	-	NOUN
ejpam-3724	71	9	index	index	NOUN
ejpam-3724	71	10	of	of	ADP
ejpam-3724	71	11	a	a	DET
ejpam-3724	71	12	graph	graph	NOUN
ejpam-3724	71	13	g	g	NOUN
ejpam-3724	71	14	,	,	PUNCT
ejpam-3724	71	15	denoted	denote	VERB
ejpam-3724	71	16	by	by	ADP
ejpam-3724	71	17	tabc(g	tabc(g	PROPN
ejpam-3724	71	18	)	)	PUNCT
ejpam-3724	71	19	,	,	PUNCT
ejpam-3724	71	20	is	be	AUX
ejpam-3724	71	21	defined	define	VERB
ejpam-3724	71	22	by	by	ADP
ejpam-3724	71	23	tabc(g	tabc(g	NOUN
ejpam-3724	71	24	)	)	PUNCT
ejpam-3724	72	1	=	=	SYM
ejpam-3724	72	2	∑	∑	PUNCT
ejpam-3724	72	3	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	72	4	)	)	PUNCT
ejpam-3724	72	5	√	√	NUM
ejpam-3724	72	6	σ(u	σ(u	NOUN
ejpam-3724	72	7	)	)	PUNCT
ejpam-3724	73	1	+	+	CCONJ
ejpam-3724	73	2	σ(v)−	σ(v)−	ADJ
ejpam-3724	73	3	2	2	NUM
ejpam-3724	73	4	σ(u)σ(v	σ(u)σ(v	NOUN
ejpam-3724	73	5	)	)	PUNCT
ejpam-3724	73	6	.	.	PUNCT
ejpam-3724	74	1	h.	h.	PROPN
ejpam-3724	74	2	s.	s.	PROPN
ejpam-3724	74	3	ramane	ramane	PROPN
ejpam-3724	74	4	,	,	PUNCT
ejpam-3724	74	5	s.	s.	PROPN
ejpam-3724	74	6	y.	y.	PROPN
ejpam-3724	74	7	talwar	talwar	PROPN
ejpam-3724	74	8	,	,	PUNCT
ejpam-3724	74	9	i.	i.	PROPN
ejpam-3724	74	10	n.	n.	PROPN
ejpam-3724	74	11	cangul	cangul	PROPN
ejpam-3724	74	12	/	/	SYM
ejpam-3724	74	13	eur	eur	NOUN
ejpam-3724	74	14	.	.	PUNCT
ejpam-3724	75	1	j.	j.	PROPN
ejpam-3724	75	2	pure	pure	PROPN
ejpam-3724	75	3	appl	appl	PROPN
ejpam-3724	75	4	.	.	PROPN
ejpam-3724	75	5	math	math	PROPN
ejpam-3724	75	6	,	,	PUNCT
ejpam-3724	75	7	13	13	NUM
ejpam-3724	75	8	(	(	PUNCT
ejpam-3724	75	9	5	5	NUM
ejpam-3724	75	10	)	)	PUNCT
ejpam-3724	75	11	(	(	PUNCT
ejpam-3724	75	12	2020	2020	NUM
ejpam-3724	75	13	)	)	PUNCT
ejpam-3724	75	14	,	,	PUNCT
ejpam-3724	75	15	1057	1057	NUM
ejpam-3724	75	16	-	-	SYM
ejpam-3724	75	17	1071	1071	NUM
ejpam-3724	75	18	1061	1061	NUM
ejpam-3724	75	19	the	the	DET
ejpam-3724	75	20	transmission	transmission	NOUN
ejpam-3724	75	21	augmented	augment	VERB
ejpam-3724	75	22	zagreb	zagreb	PROPN
ejpam-3724	75	23	co	co	NOUN
ejpam-3724	75	24	-	-	NOUN
ejpam-3724	75	25	index	index	NOUN
ejpam-3724	75	26	of	of	ADP
ejpam-3724	75	27	a	a	DET
ejpam-3724	75	28	graph	graph	NOUN
ejpam-3724	75	29	g	g	NOUN
ejpam-3724	75	30	,	,	PUNCT
ejpam-3724	75	31	denoted	denote	VERB
ejpam-3724	75	32	by	by	ADP
ejpam-3724	75	33	taz(g	taz(g	NOUN
ejpam-3724	75	34	)	)	PUNCT
ejpam-3724	75	35	,	,	PUNCT
ejpam-3724	75	36	is	be	AUX
ejpam-3724	75	37	defined	define	VERB
ejpam-3724	75	38	by	by	ADP
ejpam-3724	75	39	taz(g	taz(g	NOUN
ejpam-3724	75	40	)	)	PUNCT
ejpam-3724	75	41	=	=	SYM
ejpam-3724	75	42	∑	∑	PUNCT
ejpam-3724	75	43	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	75	44	)	)	PUNCT
ejpam-3724	75	45	[	[	PUNCT
ejpam-3724	75	46	σ(u)σ(v	σ(u)σ(v	NOUN
ejpam-3724	75	47	)	)	PUNCT
ejpam-3724	75	48	σ(u	σ(u	NOUN
ejpam-3724	75	49	)	)	PUNCT
ejpam-3724	76	1	+	+	CCONJ
ejpam-3724	77	1	σ(v)−	σ(v)−	NUM
ejpam-3724	77	2	2	2	NUM
ejpam-3724	77	3	]	]	SYM
ejpam-3724	77	4	3	3	NUM
ejpam-3724	77	5	.	.	PUNCT
ejpam-3724	78	1	the	the	DET
ejpam-3724	78	2	reciprocal	reciprocal	ADJ
ejpam-3724	78	3	transmission	transmission	NOUN
ejpam-3724	78	4	arithmetic	arithmetic	ADJ
ejpam-3724	78	5	-	-	PUNCT
ejpam-3724	78	6	geometric	geometric	ADJ
ejpam-3724	78	7	co	co	NOUN
ejpam-3724	78	8	-	-	NOUN
ejpam-3724	78	9	index	index	NOUN
ejpam-3724	78	10	of	of	ADP
ejpam-3724	78	11	a	a	DET
ejpam-3724	78	12	graph	graph	NOUN
ejpam-3724	78	13	g	g	NOUN
ejpam-3724	78	14	is	be	AUX
ejpam-3724	78	15	denoted	denote	VERB
ejpam-3724	78	16	by	by	ADP
ejpam-3724	78	17	rtag(g	rtag(g	NOUN
ejpam-3724	78	18	)	)	PUNCT
ejpam-3724	78	19	and	and	CCONJ
ejpam-3724	78	20	it	it	PRON
ejpam-3724	78	21	is	be	AUX
ejpam-3724	78	22	defined	define	VERB
ejpam-3724	78	23	by	by	ADP
ejpam-3724	78	24	rtag(g	rtag(g	NOUN
ejpam-3724	78	25	)	)	PUNCT
ejpam-3724	78	26	=	=	SYM
ejpam-3724	78	27	∑	∑	PROPN
ejpam-3724	78	28	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	78	29	)	)	PUNCT
ejpam-3724	78	30	rs(u	rs(u	PUNCT
ejpam-3724	78	31	)	)	PUNCT
ejpam-3724	79	1	+	+	SYM
ejpam-3724	79	2	rs(v	rs(v	NOUN
ejpam-3724	79	3	)	)	PUNCT
ejpam-3724	79	4	2	2	NUM
ejpam-3724	79	5	√	√	NUM
ejpam-3724	79	6	rs(u)rs(v	rs(u)rs(v	PROPN
ejpam-3724	79	7	)	)	PUNCT
ejpam-3724	79	8	.	.	PUNCT
ejpam-3724	80	1	(	(	PUNCT
ejpam-3724	80	2	6	6	X
ejpam-3724	80	3	)	)	PUNCT
ejpam-3724	80	4	the	the	DET
ejpam-3724	80	5	reciprocal	reciprocal	ADJ
ejpam-3724	80	6	transmission	transmission	NOUN
ejpam-3724	80	7	geometric	geometric	ADJ
ejpam-3724	80	8	-	-	PUNCT
ejpam-3724	80	9	arithmetic	arithmetic	ADJ
ejpam-3724	80	10	co	co	NOUN
ejpam-3724	80	11	-	-	NOUN
ejpam-3724	80	12	index	index	NOUN
ejpam-3724	80	13	of	of	ADP
ejpam-3724	80	14	a	a	DET
ejpam-3724	80	15	graph	graph	NOUN
ejpam-3724	80	16	g	g	NOUN
ejpam-3724	80	17	is	be	AUX
ejpam-3724	80	18	denoted	denote	VERB
ejpam-3724	80	19	by	by	ADP
ejpam-3724	80	20	rtga(g	rtga(g	PROPN
ejpam-3724	80	21	)	)	PUNCT
ejpam-3724	80	22	and	and	CCONJ
ejpam-3724	80	23	it	it	PRON
ejpam-3724	80	24	is	be	AUX
ejpam-3724	80	25	defined	define	VERB
ejpam-3724	80	26	by	by	ADP
ejpam-3724	80	27	rtga(g	rtga(g	PROPN
ejpam-3724	80	28	)	)	PUNCT
ejpam-3724	81	1	=	=	SYM
ejpam-3724	81	2	∑	∑	PUNCT
ejpam-3724	81	3	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	81	4	)	)	PUNCT
ejpam-3724	81	5	2	2	NUM
ejpam-3724	81	6	√	√	NUM
ejpam-3724	81	7	rs(u)rs(v	rs(u)rs(v	PROPN
ejpam-3724	81	8	)	)	PUNCT
ejpam-3724	81	9	rs(u	rs(u	NOUN
ejpam-3724	81	10	)	)	PUNCT
ejpam-3724	81	11	+	+	NUM
ejpam-3724	81	12	rs(v	rs(v	NOUN
ejpam-3724	81	13	)	)	PUNCT
ejpam-3724	81	14	.	.	PUNCT
ejpam-3724	82	1	(	(	PUNCT
ejpam-3724	82	2	7	7	X
ejpam-3724	82	3	)	)	PUNCT
ejpam-3724	82	4	the	the	DET
ejpam-3724	82	5	reciprocal	reciprocal	ADJ
ejpam-3724	82	6	transmission	transmission	NOUN
ejpam-3724	82	7	sum	sum	NOUN
ejpam-3724	82	8	-	-	PUNCT
ejpam-3724	82	9	connectivity	connectivity	NOUN
ejpam-3724	82	10	co	co	NOUN
ejpam-3724	82	11	-	-	NOUN
ejpam-3724	82	12	index	index	NOUN
ejpam-3724	82	13	of	of	ADP
ejpam-3724	82	14	a	a	DET
ejpam-3724	82	15	graph	graph	NOUN
ejpam-3724	82	16	g	g	NOUN
ejpam-3724	82	17	is	be	AUX
ejpam-3724	82	18	denoted	denote	VERB
ejpam-3724	82	19	by	by	ADP
ejpam-3724	82	20	rtsc(g	rtsc(g	PROPN
ejpam-3724	82	21	)	)	PUNCT
ejpam-3724	82	22	and	and	CCONJ
ejpam-3724	82	23	it	it	PRON
ejpam-3724	82	24	is	be	AUX
ejpam-3724	82	25	defined	define	VERB
ejpam-3724	82	26	by	by	ADP
ejpam-3724	82	27	rtsc(g	rtsc(g	NOUN
ejpam-3724	82	28	)	)	PUNCT
ejpam-3724	82	29	=	=	SYM
ejpam-3724	82	30	∑	∑	PROPN
ejpam-3724	82	31	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	82	32	)	)	PUNCT
ejpam-3724	82	33	1√	1√	PROPN
ejpam-3724	82	34	rs(u	rs(u	NOUN
ejpam-3724	82	35	)	)	PUNCT
ejpam-3724	83	1	+	+	NUM
ejpam-3724	83	2	rs(v	rs(v	NOUN
ejpam-3724	83	3	)	)	PUNCT
ejpam-3724	83	4	.	.	PUNCT
ejpam-3724	84	1	(	(	PUNCT
ejpam-3724	84	2	8)	8)	NUM
ejpam-3724	84	3	the	the	DET
ejpam-3724	84	4	reciprocal	reciprocal	ADJ
ejpam-3724	84	5	transmission	transmission	NOUN
ejpam-3724	84	6	atom	atom	NOUN
ejpam-3724	84	7	-	-	PUNCT
ejpam-3724	84	8	bond	bond	NOUN
ejpam-3724	84	9	connectivity	connectivity	NOUN
ejpam-3724	84	10	co	co	NOUN
ejpam-3724	84	11	-	-	NOUN
ejpam-3724	84	12	index	index	NOUN
ejpam-3724	84	13	of	of	ADP
ejpam-3724	84	14	a	a	DET
ejpam-3724	84	15	graph	graph	NOUN
ejpam-3724	84	16	g	g	NOUN
ejpam-3724	84	17	is	be	AUX
ejpam-3724	84	18	denoted	denote	VERB
ejpam-3724	84	19	by	by	ADP
ejpam-3724	84	20	rtabc(g	rtabc(g	NOUN
ejpam-3724	84	21	)	)	PUNCT
ejpam-3724	84	22	and	and	CCONJ
ejpam-3724	84	23	it	it	PRON
ejpam-3724	84	24	is	be	AUX
ejpam-3724	84	25	defined	define	VERB
ejpam-3724	84	26	by	by	ADP
ejpam-3724	84	27	rtabc(g	rtabc(g	NOUN
ejpam-3724	84	28	)	)	PUNCT
ejpam-3724	84	29	=	=	SYM
ejpam-3724	84	30	∑	∑	PUNCT
ejpam-3724	84	31	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	84	32	)	)	PUNCT
ejpam-3724	84	33	√	√	ADP
ejpam-3724	84	34	rs(u	rs(u	NOUN
ejpam-3724	84	35	)	)	PUNCT
ejpam-3724	85	1	+	+	CCONJ
ejpam-3724	85	2	rs(v)−	rs(v)−	ADJ
ejpam-3724	85	3	2	2	NUM
ejpam-3724	85	4	rs(u)rs(v	rs(u)rs(v	NOUN
ejpam-3724	85	5	)	)	PUNCT
ejpam-3724	85	6	.	.	PUNCT
ejpam-3724	86	1	(	(	PUNCT
ejpam-3724	86	2	9	9	X
ejpam-3724	86	3	)	)	PUNCT
ejpam-3724	86	4	the	the	DET
ejpam-3724	86	5	reciprocal	reciprocal	ADJ
ejpam-3724	86	6	transmission	transmission	NOUN
ejpam-3724	86	7	augmented	augment	VERB
ejpam-3724	86	8	zagreb	zagreb	PROPN
ejpam-3724	86	9	co	co	NOUN
ejpam-3724	86	10	-	-	NOUN
ejpam-3724	86	11	index	index	NOUN
ejpam-3724	86	12	of	of	ADP
ejpam-3724	86	13	a	a	DET
ejpam-3724	86	14	graph	graph	NOUN
ejpam-3724	86	15	g	g	NOUN
ejpam-3724	86	16	is	be	AUX
ejpam-3724	86	17	denoted	denote	VERB
ejpam-3724	86	18	by	by	ADP
ejpam-3724	86	19	rtaz(g	rtaz(g	PROPN
ejpam-3724	86	20	)	)	PUNCT
ejpam-3724	86	21	and	and	CCONJ
ejpam-3724	86	22	it	it	PRON
ejpam-3724	86	23	is	be	AUX
ejpam-3724	86	24	defined	define	VERB
ejpam-3724	86	25	by	by	ADP
ejpam-3724	86	26	rtaz(g	rtaz(g	PROPN
ejpam-3724	86	27	)	)	PUNCT
ejpam-3724	86	28	=	=	PUNCT
ejpam-3724	86	29	∑	∑	PUNCT
ejpam-3724	86	30	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	86	31	)	)	PUNCT
ejpam-3724	86	32	[	[	PUNCT
ejpam-3724	86	33	rs(u)rs(v	rs(u)rs(v	PROPN
ejpam-3724	86	34	)	)	PUNCT
ejpam-3724	86	35	rs(u	rs(u	NOUN
ejpam-3724	86	36	)	)	PUNCT
ejpam-3724	87	1	+	+	CCONJ
ejpam-3724	87	2	rs(v)−	rs(v)−	ADJ
ejpam-3724	87	3	2	2	NUM
ejpam-3724	87	4	]	]	SYM
ejpam-3724	87	5	3	3	NUM
ejpam-3724	87	6	.	.	PUNCT
ejpam-3724	88	1	(	(	PUNCT
ejpam-3724	88	2	10	10	NUM
ejpam-3724	88	3	)	)	PUNCT
ejpam-3724	88	4	we	we	PRON
ejpam-3724	88	5	have	have	AUX
ejpam-3724	88	6	already	already	ADV
ejpam-3724	88	7	obtained	obtain	VERB
ejpam-3724	88	8	explicit	explicit	ADJ
ejpam-3724	88	9	formulae	formulae	NOUN
ejpam-3724	88	10	for	for	ADP
ejpam-3724	88	11	transmission	transmission	NOUN
ejpam-3724	88	12	and	and	CCONJ
ejpam-3724	88	13	reciprocal	reciprocal	ADJ
ejpam-3724	88	14	transmission	transmission	NOUN
ejpam-3724	88	15	based	base	VERB
ejpam-3724	88	16	topological	topological	ADJ
ejpam-3724	88	17	coindices	coindice	NOUN
ejpam-3724	88	18	in	in	ADP
ejpam-3724	88	19	terms	term	NOUN
ejpam-3724	88	20	of	of	ADP
ejpam-3724	88	21	order	order	NOUN
ejpam-3724	88	22	and	and	CCONJ
ejpam-3724	88	23	size	size	NOUN
ejpam-3724	88	24	.	.	PUNCT
ejpam-3724	89	1	in	in	ADP
ejpam-3724	89	2	the	the	DET
ejpam-3724	89	3	following	following	NOUN
ejpam-3724	89	4	,	,	PUNCT
ejpam-3724	89	5	we	we	PRON
ejpam-3724	89	6	obtain	obtain	VERB
ejpam-3724	89	7	bounds	bound	NOUN
ejpam-3724	89	8	for	for	ADP
ejpam-3724	89	9	the	the	DET
ejpam-3724	89	10	above	above	ADV
ejpam-3724	89	11	defined	define	VERB
ejpam-3724	89	12	transmission	transmission	NOUN
ejpam-3724	89	13	and	and	CCONJ
ejpam-3724	89	14	reciprocal	reciprocal	ADJ
ejpam-3724	89	15	transmission	transmission	NOUN
ejpam-3724	89	16	based	base	VERB
ejpam-3724	89	17	topological	topological	PROPN
ejpam-3724	89	18	co	co	NOUN
ejpam-3724	89	19	-	-	NOUN
ejpam-3724	89	20	indices	index	NOUN
ejpam-3724	89	21	.	.	PUNCT
ejpam-3724	90	1	h.	h.	PROPN
ejpam-3724	90	2	s.	s.	PROPN
ejpam-3724	90	3	ramane	ramane	PROPN
ejpam-3724	90	4	,	,	PUNCT
ejpam-3724	90	5	s.	s.	PROPN
ejpam-3724	90	6	y.	y.	PROPN
ejpam-3724	90	7	talwar	talwar	PROPN
ejpam-3724	90	8	,	,	PUNCT
ejpam-3724	90	9	i.	i.	PROPN
ejpam-3724	90	10	n.	n.	PROPN
ejpam-3724	90	11	cangul	cangul	PROPN
ejpam-3724	90	12	/	/	SYM
ejpam-3724	90	13	eur	eur	NOUN
ejpam-3724	90	14	.	.	PUNCT
ejpam-3724	91	1	j.	j.	PROPN
ejpam-3724	91	2	pure	pure	PROPN
ejpam-3724	91	3	appl	appl	PROPN
ejpam-3724	91	4	.	.	PROPN
ejpam-3724	91	5	math	math	PROPN
ejpam-3724	91	6	,	,	PUNCT
ejpam-3724	91	7	13	13	NUM
ejpam-3724	91	8	(	(	PUNCT
ejpam-3724	91	9	5	5	NUM
ejpam-3724	91	10	)	)	PUNCT
ejpam-3724	91	11	(	(	PUNCT
ejpam-3724	91	12	2020	2020	NUM
ejpam-3724	91	13	)	)	PUNCT
ejpam-3724	91	14	,	,	PUNCT
ejpam-3724	91	15	1057	1057	NUM
ejpam-3724	91	16	-	-	SYM
ejpam-3724	91	17	1071	1071	NUM
ejpam-3724	91	18	1062	1062	NUM
ejpam-3724	91	19	2	2	NUM
ejpam-3724	91	20	.	.	PUNCT
ejpam-3724	91	21	bounds	bound	NOUN
ejpam-3724	91	22	for	for	ADP
ejpam-3724	91	23	transmission	transmission	NOUN
ejpam-3724	91	24	and	and	CCONJ
ejpam-3724	91	25	reciprocal	reciprocal	ADJ
ejpam-3724	91	26	transmission	transmission	NOUN
ejpam-3724	91	27	based	base	VERB
ejpam-3724	91	28	topological	topological	PROPN
ejpam-3724	91	29	co	co	NOUN
ejpam-3724	91	30	-	-	NOUN
ejpam-3724	91	31	indices	index	NOUN
ejpam-3724	91	32	now	now	ADV
ejpam-3724	91	33	we	we	PRON
ejpam-3724	91	34	obtain	obtain	VERB
ejpam-3724	91	35	inequalities	inequality	NOUN
ejpam-3724	91	36	for	for	ADP
ejpam-3724	91	37	transmission	transmission	NOUN
ejpam-3724	91	38	and	and	CCONJ
ejpam-3724	91	39	reciprocal	reciprocal	ADJ
ejpam-3724	91	40	transmission	transmission	NOUN
ejpam-3724	91	41	based	base	VERB
ejpam-3724	91	42	topological	topological	ADJ
ejpam-3724	91	43	coindices	coindice	NOUN
ejpam-3724	91	44	:	:	PUNCT
ejpam-3724	91	45	theorem	theorem	NOUN
ejpam-3724	91	46	1	1	X
ejpam-3724	91	47	.	.	PUNCT
ejpam-3724	92	1	let	let	VERB
ejpam-3724	92	2	g	g	PRON
ejpam-3724	92	3	be	be	AUX
ejpam-3724	92	4	a	a	DET
ejpam-3724	92	5	connected	connected	ADJ
ejpam-3724	92	6	graph	graph	NOUN
ejpam-3724	92	7	with	with	ADP
ejpam-3724	92	8	n	n	ADP
ejpam-3724	92	9	vertices	vertex	NOUN
ejpam-3724	92	10	and	and	CCONJ
ejpam-3724	92	11	let	let	VERB
ejpam-3724	92	12	d	d	NOUN
ejpam-3724	92	13	=	=	SYM
ejpam-3724	92	14	diam(g	diam(g	PROPN
ejpam-3724	92	15	)	)	PUNCT
ejpam-3724	92	16	.	.	PUNCT
ejpam-3724	93	1	then∑	then∑	PROPN
ejpam-3724	93	2	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	93	3	)	)	PUNCT
ejpam-3724	93	4	1√	1√	PROPN
ejpam-3724	93	5	2d(n−	2d(n−	NUM
ejpam-3724	93	6	1)−	1)−	NUM
ejpam-3724	93	7	(	(	PUNCT
ejpam-3724	93	8	d	d	PROPN
ejpam-3724	93	9	−	−	PROPN
ejpam-3724	93	10	1)(d(u	1)(d(u	NUM
ejpam-3724	93	11	)	)	PUNCT
ejpam-3724	94	1	+	+	X
ejpam-3724	94	2	d(v	d(v	PROPN
ejpam-3724	94	3	)	)	PUNCT
ejpam-3724	94	4	)	)	PUNCT
ejpam-3724	95	1	≤	≤	PUNCT
ejpam-3724	95	2	tsc(g	tsc(g	X
ejpam-3724	95	3	)	)	PUNCT
ejpam-3724	95	4	≤	≤	NUM
ejpam-3724	95	5	∑	∑	PUNCT
ejpam-3724	95	6	uv/∈e(g	uv/∈e(g	NOUN
ejpam-3724	95	7	)	)	PUNCT
ejpam-3724	95	8	1√	1√	PROPN
ejpam-3724	95	9	4n−	4n−	PROPN
ejpam-3724	95	10	4−	4−	NOUN
ejpam-3724	95	11	(	(	PUNCT
ejpam-3724	95	12	d(u	d(u	PROPN
ejpam-3724	95	13	)	)	PUNCT
ejpam-3724	95	14	+	+	X
ejpam-3724	95	15	d(v	d(v	PROPN
ejpam-3724	95	16	)	)	PUNCT
ejpam-3724	95	17	)	)	PUNCT
ejpam-3724	95	18	.	.	PUNCT
ejpam-3724	96	1	(	(	PUNCT
ejpam-3724	96	2	11	11	X
ejpam-3724	96	3	)	)	PUNCT
ejpam-3724	96	4	equality	equality	NOUN
ejpam-3724	96	5	holds	hold	VERB
ejpam-3724	96	6	on	on	ADP
ejpam-3724	96	7	both	both	DET
ejpam-3724	96	8	sides	side	NOUN
ejpam-3724	96	9	if	if	SCONJ
ejpam-3724	96	10	and	and	CCONJ
ejpam-3724	96	11	only	only	ADV
ejpam-3724	96	12	if	if	SCONJ
ejpam-3724	96	13	diam(g	diam(g	NOUN
ejpam-3724	96	14	)	)	PUNCT
ejpam-3724	96	15	≤	≤	NOUN
ejpam-3724	96	16	2	2	NUM
ejpam-3724	96	17	.	.	PUNCT
ejpam-3724	97	1	proof	proof	NOUN
ejpam-3724	97	2	.	.	PUNCT
ejpam-3724	98	1	for	for	ADP
ejpam-3724	98	2	any	any	DET
ejpam-3724	98	3	vertex	vertex	NOUN
ejpam-3724	98	4	u	u	NOUN
ejpam-3724	98	5	of	of	ADP
ejpam-3724	98	6	g	g	PROPN
ejpam-3724	98	7	,	,	PUNCT
ejpam-3724	98	8	there	there	PRON
ejpam-3724	98	9	are	be	VERB
ejpam-3724	98	10	d(u	d(u	NOUN
ejpam-3724	98	11	)	)	PUNCT
ejpam-3724	98	12	vertices	vertex	NOUN
ejpam-3724	98	13	which	which	PRON
ejpam-3724	98	14	are	be	AUX
ejpam-3724	98	15	at	at	ADP
ejpam-3724	98	16	distance	distance	NOUN
ejpam-3724	98	17	1	1	NUM
ejpam-3724	98	18	from	from	ADP
ejpam-3724	98	19	u.	u.	PROPN
ejpam-3724	98	20	further	far	ADV
ejpam-3724	98	21	,	,	PUNCT
ejpam-3724	98	22	the	the	DET
ejpam-3724	98	23	distance	distance	NOUN
ejpam-3724	98	24	between	between	ADP
ejpam-3724	98	25	u	u	NOUN
ejpam-3724	98	26	and	and	CCONJ
ejpam-3724	98	27	remaining	remain	VERB
ejpam-3724	98	28	n	n	PRON
ejpam-3724	98	29	−	−	PROPN
ejpam-3724	98	30	1	1	NUM
ejpam-3724	98	31	−	−	PROPN
ejpam-3724	98	32	d(u	d(u	PROPN
ejpam-3724	98	33	)	)	PUNCT
ejpam-3724	98	34	vertices	vertex	NOUN
ejpam-3724	98	35	is	be	AUX
ejpam-3724	98	36	at	at	ADV
ejpam-3724	98	37	least	least	ADJ
ejpam-3724	98	38	2	2	NUM
ejpam-3724	98	39	and	and	CCONJ
ejpam-3724	98	40	at	at	ADP
ejpam-3724	98	41	most	most	ADJ
ejpam-3724	98	42	d.	d.	NOUN
ejpam-3724	98	43	therefore	therefore	ADV
ejpam-3724	98	44	σ(u	σ(u	PROPN
ejpam-3724	98	45	)	)	PUNCT
ejpam-3724	98	46	≤	≤	NUM
ejpam-3724	99	1	d(u	d(u	PROPN
ejpam-3724	99	2	)	)	PUNCT
ejpam-3724	100	1	+	+	VERB
ejpam-3724	100	2	d(n−	d(n−	PROPN
ejpam-3724	100	3	1−	1−	NUM
ejpam-3724	100	4	d(u	d(u	PROPN
ejpam-3724	100	5	)	)	PUNCT
ejpam-3724	100	6	)	)	PUNCT
ejpam-3724	101	1	=	=	SYM
ejpam-3724	101	2	d(n−	d(n−	PROPN
ejpam-3724	101	3	1)−	1)−	PROPN
ejpam-3724	101	4	(	(	PUNCT
ejpam-3724	101	5	d	d	PROPN
ejpam-3724	101	6	−	−	PROPN
ejpam-3724	101	7	1)d(u	1)d(u	NUM
ejpam-3724	101	8	)	)	PUNCT
ejpam-3724	101	9	and	and	CCONJ
ejpam-3724	101	10	σ(u	σ(u	NOUN
ejpam-3724	101	11	)	)	PUNCT
ejpam-3724	101	12	≥	≥	NOUN
ejpam-3724	101	13	d(u	d(u	PROPN
ejpam-3724	101	14	)	)	PUNCT
ejpam-3724	102	1	+	+	CCONJ
ejpam-3724	102	2	2(n−	2(n−	NUM
ejpam-3724	102	3	1−	1−	NUM
ejpam-3724	102	4	d(u	d(u	NOUN
ejpam-3724	102	5	)	)	PUNCT
ejpam-3724	102	6	)	)	PUNCT
ejpam-3724	103	1	=	=	PUNCT
ejpam-3724	104	1	2n−	2n−	PROPN
ejpam-3724	104	2	2−	2−	NUM
ejpam-3724	104	3	d(u	d(u	PROPN
ejpam-3724	104	4	)	)	PUNCT
ejpam-3724	104	5	with	with	ADP
ejpam-3724	104	6	equality	equality	NOUN
ejpam-3724	104	7	in	in	ADP
ejpam-3724	104	8	both	both	DET
ejpam-3724	104	9	cases	case	NOUN
ejpam-3724	104	10	if	if	SCONJ
ejpam-3724	104	11	and	and	CCONJ
ejpam-3724	104	12	only	only	ADV
ejpam-3724	104	13	if	if	SCONJ
ejpam-3724	104	14	d	d	PROPN
ejpam-3724	104	15	=	=	SYM
ejpam-3724	104	16	2	2	X
ejpam-3724	104	17	.	.	PUNCT
ejpam-3724	104	18	therefore	therefore	ADV
ejpam-3724	104	19	,	,	PUNCT
ejpam-3724	104	20	4n−	4n−	PROPN
ejpam-3724	104	21	4−	4−	NOUN
ejpam-3724	104	22	(	(	PUNCT
ejpam-3724	104	23	d(u	d(u	PROPN
ejpam-3724	104	24	)	)	PUNCT
ejpam-3724	104	25	+	+	X
ejpam-3724	104	26	d(v	d(v	PROPN
ejpam-3724	104	27	)	)	PUNCT
ejpam-3724	104	28	)	)	PUNCT
ejpam-3724	104	29	≤	≤	NUM
ejpam-3724	104	30	σ(u	σ(u	NOUN
ejpam-3724	104	31	)	)	PUNCT
ejpam-3724	105	1	+	+	CCONJ
ejpam-3724	105	2	σ(v	σ(v	NOUN
ejpam-3724	105	3	)	)	PUNCT
ejpam-3724	105	4	≤	≤	NOUN
ejpam-3724	105	5	2d(n−	2d(n−	NUM
ejpam-3724	106	1	1)−	1)−	NUM
ejpam-3724	106	2	(	(	PUNCT
ejpam-3724	106	3	d	d	PROPN
ejpam-3724	106	4	−	−	PROPN
ejpam-3724	106	5	1)(d(u	1)(d(u	NUM
ejpam-3724	106	6	)	)	PUNCT
ejpam-3724	107	1	+	+	X
ejpam-3724	107	2	d(v	d(v	PROPN
ejpam-3724	107	3	)	)	PUNCT
ejpam-3724	107	4	)	)	PUNCT
ejpam-3724	107	5	.	.	PUNCT
ejpam-3724	108	1	hence	hence	ADV
ejpam-3724	108	2	tsc(g	tsc(g	NUM
ejpam-3724	108	3	)	)	PUNCT
ejpam-3724	108	4	=	=	SYM
ejpam-3724	108	5	∑	∑	PUNCT
ejpam-3724	108	6	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	108	7	)	)	PUNCT
ejpam-3724	108	8	1√	1√	PROPN
ejpam-3724	108	9	σ(u	σ(u	NOUN
ejpam-3724	108	10	)	)	PUNCT
ejpam-3724	109	1	+	+	CCONJ
ejpam-3724	109	2	σ(v	σ(v	NOUN
ejpam-3724	109	3	)	)	PUNCT
ejpam-3724	109	4	≥	≥	NOUN
ejpam-3724	109	5	∑	∑	PROPN
ejpam-3724	109	6	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	109	7	)	)	PUNCT
ejpam-3724	109	8	1√	1√	PROPN
ejpam-3724	109	9	2d(n−	2d(n−	NUM
ejpam-3724	109	10	1)−	1)−	NUM
ejpam-3724	109	11	(	(	PUNCT
ejpam-3724	109	12	d	d	PROPN
ejpam-3724	109	13	−	−	PROPN
ejpam-3724	109	14	1)(d(u	1)(d(u	NUM
ejpam-3724	109	15	)	)	PUNCT
ejpam-3724	109	16	+	+	X
ejpam-3724	109	17	d(v	d(v	PROPN
ejpam-3724	109	18	)	)	PUNCT
ejpam-3724	109	19	)	)	PUNCT
ejpam-3724	109	20	and	and	CCONJ
ejpam-3724	109	21	tsc(g	tsc(g	X
ejpam-3724	109	22	)	)	PUNCT
ejpam-3724	109	23	=	=	SYM
ejpam-3724	109	24	∑	∑	PUNCT
ejpam-3724	109	25	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	109	26	)	)	PUNCT
ejpam-3724	109	27	1√	1√	PROPN
ejpam-3724	109	28	σ(u	σ(u	NOUN
ejpam-3724	109	29	)	)	PUNCT
ejpam-3724	110	1	+	+	CCONJ
ejpam-3724	110	2	σ(v	σ(v	NOUN
ejpam-3724	110	3	)	)	PUNCT
ejpam-3724	110	4	≤	≤	NOUN
ejpam-3724	110	5	∑	∑	PUNCT
ejpam-3724	110	6	uv/∈e(g	uv/∈e(g	NOUN
ejpam-3724	110	7	)	)	PUNCT
ejpam-3724	110	8	1√	1√	PROPN
ejpam-3724	110	9	4n−	4n−	PROPN
ejpam-3724	110	10	4−	4−	NOUN
ejpam-3724	110	11	(	(	PUNCT
ejpam-3724	110	12	d(u	d(u	PROPN
ejpam-3724	110	13	)	)	PUNCT
ejpam-3724	110	14	+	+	X
ejpam-3724	110	15	d(v	d(v	PROPN
ejpam-3724	110	16	)	)	PUNCT
ejpam-3724	110	17	)	)	PUNCT
ejpam-3724	110	18	.	.	PUNCT
ejpam-3724	111	1	equality	equality	NOUN
ejpam-3724	111	2	holds	hold	VERB
ejpam-3724	111	3	in	in	ADP
ejpam-3724	111	4	both	both	DET
ejpam-3724	111	5	cases	case	NOUN
ejpam-3724	111	6	if	if	SCONJ
ejpam-3724	111	7	and	and	CCONJ
ejpam-3724	111	8	only	only	ADV
ejpam-3724	111	9	if	if	SCONJ
ejpam-3724	111	10	d	d	PROPN
ejpam-3724	111	11	=	=	SYM
ejpam-3724	111	12	2	2	X
ejpam-3724	111	13	.	.	PUNCT
ejpam-3724	111	14	theorems	theorems	PROPN
ejpam-3724	111	15	2	2	NUM
ejpam-3724	111	16	,	,	PUNCT
ejpam-3724	111	17	3	3	NUM
ejpam-3724	111	18	,	,	PUNCT
ejpam-3724	111	19	4	4	NUM
ejpam-3724	111	20	and	and	CCONJ
ejpam-3724	111	21	5	5	NUM
ejpam-3724	111	22	can	can	AUX
ejpam-3724	111	23	be	be	AUX
ejpam-3724	111	24	proved	prove	VERB
ejpam-3724	111	25	analogously	analogously	ADV
ejpam-3724	111	26	to	to	AUX
ejpam-3724	111	27	theorem	theorem	VERB
ejpam-3724	111	28	1	1	NUM
ejpam-3724	111	29	.	.	PUNCT
ejpam-3724	111	30	theorem	theorem	NOUN
ejpam-3724	111	31	2	2	NUM
ejpam-3724	111	32	.	.	PUNCT
ejpam-3724	112	1	let	let	VERB
ejpam-3724	112	2	g	g	PRON
ejpam-3724	112	3	be	be	AUX
ejpam-3724	112	4	a	a	DET
ejpam-3724	112	5	connected	connected	ADJ
ejpam-3724	112	6	graph	graph	NOUN
ejpam-3724	112	7	with	with	ADP
ejpam-3724	112	8	n	n	ADP
ejpam-3724	112	9	vertices	vertex	NOUN
ejpam-3724	112	10	and	and	CCONJ
ejpam-3724	112	11	let	let	VERB
ejpam-3724	112	12	d	d	NOUN
ejpam-3724	112	13	=	=	SYM
ejpam-3724	112	14	diam(g	diam(g	PROPN
ejpam-3724	112	15	)	)	PUNCT
ejpam-3724	112	16	.	.	PUNCT
ejpam-3724	113	1	then∑	then∑	PROPN
ejpam-3724	113	2	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	113	3	)	)	PUNCT
ejpam-3724	113	4	√	√	PROPN
ejpam-3724	113	5	2d(n−	2d(n−	NUM
ejpam-3724	114	1	1)−	1)−	NUM
ejpam-3724	114	2	(	(	PUNCT
ejpam-3724	114	3	d	d	PROPN
ejpam-3724	114	4	−	−	PROPN
ejpam-3724	114	5	1)(d(u	1)(d(u	NUM
ejpam-3724	114	6	)	)	PUNCT
ejpam-3724	115	1	+	+	CCONJ
ejpam-3724	115	2	d(v))−	d(v))−	NOUN
ejpam-3724	115	3	2	2	NUM
ejpam-3724	115	4	(	(	PUNCT
ejpam-3724	115	5	d(n−	d(n−	NOUN
ejpam-3724	115	6	1))2	1))2	NUM
ejpam-3724	115	7	−d(n−	−d(n−	X
ejpam-3724	115	8	1)(d	1)(d	NUM
ejpam-3724	115	9	−	−	NOUN
ejpam-3724	115	10	1)(d(u	1)(d(u	NUM
ejpam-3724	115	11	)	)	PUNCT
ejpam-3724	116	1	+	+	CCONJ
ejpam-3724	116	2	d(v)−	d(v)−	PROPN
ejpam-3724	116	3	(	(	PUNCT
ejpam-3724	116	4	d	d	NOUN
ejpam-3724	116	5	−	−	PROPN
ejpam-3724	116	6	1)2d(u)d(v	1)2d(u)d(v	NUM
ejpam-3724	116	7	)	)	PUNCT
ejpam-3724	116	8	≤	≤	NOUN
ejpam-3724	116	9	tabc(g	tabc(g	PROPN
ejpam-3724	116	10	)	)	PUNCT
ejpam-3724	116	11	≤	≤	NOUN
ejpam-3724	116	12	∑	∑	PUNCT
ejpam-3724	116	13	uv/∈e(g	uv/∈e(g	NOUN
ejpam-3724	116	14	)	)	PUNCT
ejpam-3724	116	15	√	√	PROPN
ejpam-3724	117	1	4n−	4n−	NUM
ejpam-3724	117	2	6−	6−	NUM
ejpam-3724	117	3	(	(	PUNCT
ejpam-3724	117	4	d(u	d(u	PROPN
ejpam-3724	117	5	)	)	PUNCT
ejpam-3724	118	1	+	+	X
ejpam-3724	118	2	d(v	d(v	PROPN
ejpam-3724	118	3	)	)	PUNCT
ejpam-3724	118	4	)	)	PUNCT
ejpam-3724	119	1	4n2	4n2	NUM
ejpam-3724	120	1	−	−	PROPN
ejpam-3724	120	2	8n−	8n−	NUM
ejpam-3724	120	3	4	4	NUM
ejpam-3724	120	4	+	+	CCONJ
ejpam-3724	120	5	(	(	PUNCT
ejpam-3724	120	6	2−	2−	NUM
ejpam-3724	120	7	2n)(d(u	2n)(d(u	NUM
ejpam-3724	120	8	)	)	PUNCT
ejpam-3724	120	9	+	+	X
ejpam-3724	120	10	d(v	d(v	PROPN
ejpam-3724	120	11	)	)	PUNCT
ejpam-3724	120	12	)	)	PUNCT
ejpam-3724	121	1	+	+	CCONJ
ejpam-3724	121	2	d(u)d(v	d(u)d(v	NOUN
ejpam-3724	121	3	)	)	PUNCT
ejpam-3724	121	4	.	.	PUNCT
ejpam-3724	122	1	(	(	PUNCT
ejpam-3724	122	2	12	12	NUM
ejpam-3724	122	3	)	)	PUNCT
ejpam-3724	122	4	h.	h.	PROPN
ejpam-3724	122	5	s.	s.	PROPN
ejpam-3724	122	6	ramane	ramane	PROPN
ejpam-3724	122	7	,	,	PUNCT
ejpam-3724	122	8	s.	s.	PROPN
ejpam-3724	122	9	y.	y.	PROPN
ejpam-3724	122	10	talwar	talwar	PROPN
ejpam-3724	122	11	,	,	PUNCT
ejpam-3724	122	12	i.	i.	PROPN
ejpam-3724	122	13	n.	n.	PROPN
ejpam-3724	122	14	cangul	cangul	PROPN
ejpam-3724	122	15	/	/	SYM
ejpam-3724	122	16	eur	eur	NOUN
ejpam-3724	122	17	.	.	PUNCT
ejpam-3724	123	1	j.	j.	PROPN
ejpam-3724	123	2	pure	pure	PROPN
ejpam-3724	123	3	appl	appl	PROPN
ejpam-3724	123	4	.	.	PROPN
ejpam-3724	123	5	math	math	PROPN
ejpam-3724	123	6	,	,	PUNCT
ejpam-3724	123	7	13	13	NUM
ejpam-3724	123	8	(	(	PUNCT
ejpam-3724	123	9	5	5	NUM
ejpam-3724	123	10	)	)	PUNCT
ejpam-3724	123	11	(	(	PUNCT
ejpam-3724	123	12	2020	2020	NUM
ejpam-3724	123	13	)	)	PUNCT
ejpam-3724	123	14	,	,	PUNCT
ejpam-3724	123	15	1057	1057	NUM
ejpam-3724	123	16	-	-	SYM
ejpam-3724	123	17	1071	1071	NUM
ejpam-3724	123	18	1063	1063	NUM
ejpam-3724	123	19	theorem	theorem	NOUN
ejpam-3724	123	20	3	3	X
ejpam-3724	123	21	.	.	PUNCT
ejpam-3724	124	1	let	let	VERB
ejpam-3724	124	2	g	g	PRON
ejpam-3724	124	3	be	be	AUX
ejpam-3724	124	4	a	a	DET
ejpam-3724	124	5	connected	connected	ADJ
ejpam-3724	124	6	graph	graph	NOUN
ejpam-3724	124	7	with	with	ADP
ejpam-3724	124	8	n	n	ADP
ejpam-3724	124	9	vertices	vertex	NOUN
ejpam-3724	124	10	and	and	CCONJ
ejpam-3724	124	11	let	let	VERB
ejpam-3724	124	12	d	d	NOUN
ejpam-3724	124	13	=	=	SYM
ejpam-3724	124	14	diam(g	diam(g	PROPN
ejpam-3724	124	15	)	)	PUNCT
ejpam-3724	124	16	.	.	PUNCT
ejpam-3724	125	1	then∑	then∑	PROPN
ejpam-3724	125	2	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	125	3	)	)	PUNCT
ejpam-3724	125	4	2d(n−	2d(n−	NUM
ejpam-3724	126	1	1)−	1)−	NUM
ejpam-3724	126	2	(	(	PUNCT
ejpam-3724	126	3	d	d	PROPN
ejpam-3724	126	4	−	−	PROPN
ejpam-3724	126	5	1)(d(u	1)(d(u	NUM
ejpam-3724	126	6	)	)	PUNCT
ejpam-3724	127	1	+	+	X
ejpam-3724	127	2	d(v	d(v	PROPN
ejpam-3724	127	3	)	)	PUNCT
ejpam-3724	127	4	)	)	PUNCT
ejpam-3724	128	1	2	2	NUM
ejpam-3724	128	2	√	√	NUM
ejpam-3724	128	3	(	(	PUNCT
ejpam-3724	128	4	d(n−	d(n−	PROPN
ejpam-3724	128	5	1))2	1))2	NUM
ejpam-3724	128	6	−d(n−	−d(n−	X
ejpam-3724	128	7	1)(d	1)(d	NUM
ejpam-3724	128	8	−	−	NOUN
ejpam-3724	128	9	1)(d(u	1)(d(u	NUM
ejpam-3724	128	10	)	)	PUNCT
ejpam-3724	128	11	+	+	X
ejpam-3724	128	12	d(v	d(v	PROPN
ejpam-3724	128	13	)	)	PUNCT
ejpam-3724	128	14	)	)	PUNCT
ejpam-3724	129	1	+	+	CCONJ
ejpam-3724	129	2	(	(	PUNCT
ejpam-3724	129	3	d	d	X
ejpam-3724	129	4	−	−	PROPN
ejpam-3724	129	5	1)2d(u)d(v	1)2d(u)d(v	NUM
ejpam-3724	129	6	)	)	PUNCT
ejpam-3724	129	7	≤	≤	NUM
ejpam-3724	129	8	tag(g	tag(g	PROPN
ejpam-3724	129	9	)	)	PUNCT
ejpam-3724	129	10	≤	≤	NOUN
ejpam-3724	129	11	∑	∑	PUNCT
ejpam-3724	129	12	uv/∈e(g	uv/∈e(g	NOUN
ejpam-3724	129	13	)	)	PUNCT
ejpam-3724	130	1	4n−	4n−	NUM
ejpam-3724	130	2	4−	4−	NOUN
ejpam-3724	130	3	(	(	PUNCT
ejpam-3724	130	4	d(u	d(u	PROPN
ejpam-3724	130	5	)	)	PUNCT
ejpam-3724	130	6	+	+	X
ejpam-3724	130	7	d(v	d(v	PROPN
ejpam-3724	130	8	)	)	PUNCT
ejpam-3724	130	9	)	)	PUNCT
ejpam-3724	130	10	2	2	NUM
ejpam-3724	130	11	√	√	NUM
ejpam-3724	130	12	(	(	PUNCT
ejpam-3724	130	13	2n−	2n−	PROPN
ejpam-3724	130	14	2−	2−	NUM
ejpam-3724	130	15	d(u))(2n−	d(u))(2n−	NOUN
ejpam-3724	130	16	2−	2−	NUM
ejpam-3724	130	17	d(v	d(v	NOUN
ejpam-3724	130	18	)	)	PUNCT
ejpam-3724	130	19	)	)	PUNCT
ejpam-3724	130	20	.	.	PUNCT
ejpam-3724	131	1	(	(	PUNCT
ejpam-3724	131	2	13	13	NUM
ejpam-3724	131	3	)	)	PUNCT
ejpam-3724	131	4	theorem	theorem	NOUN
ejpam-3724	131	5	4	4	NUM
ejpam-3724	131	6	.	.	PUNCT
ejpam-3724	132	1	let	let	VERB
ejpam-3724	132	2	g	g	PRON
ejpam-3724	132	3	be	be	AUX
ejpam-3724	132	4	a	a	DET
ejpam-3724	132	5	connected	connected	ADJ
ejpam-3724	132	6	graph	graph	NOUN
ejpam-3724	132	7	with	with	ADP
ejpam-3724	132	8	n	n	ADP
ejpam-3724	132	9	vertices	vertex	NOUN
ejpam-3724	132	10	and	and	CCONJ
ejpam-3724	132	11	let	let	VERB
ejpam-3724	132	12	d	d	NOUN
ejpam-3724	132	13	=	=	SYM
ejpam-3724	132	14	diam(g	diam(g	PROPN
ejpam-3724	132	15	)	)	PUNCT
ejpam-3724	132	16	.	.	PUNCT
ejpam-3724	133	1	then	then	ADV
ejpam-3724	133	2	∑	∑	PROPN
ejpam-3724	133	3	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	133	4	)	)	PUNCT
ejpam-3724	133	5	[	[	PUNCT
ejpam-3724	133	6	(	(	PUNCT
ejpam-3724	133	7	d(n−	d(n−	NOUN
ejpam-3724	133	8	1))2	1))2	NUM
ejpam-3724	133	9	−d(n−	−d(n−	X
ejpam-3724	134	1	1)(d	1)(d	NUM
ejpam-3724	134	2	−	−	NOUN
ejpam-3724	134	3	1)(d(u	1)(d(u	NUM
ejpam-3724	134	4	)	)	PUNCT
ejpam-3724	135	1	+	+	CCONJ
ejpam-3724	135	2	d(v))−	d(v))−	NOUN
ejpam-3724	135	3	(	(	PUNCT
ejpam-3724	135	4	d	d	NOUN
ejpam-3724	135	5	−	−	PROPN
ejpam-3724	135	6	1)2d(u)d(v	1)2d(u)d(v	NUM
ejpam-3724	135	7	)	)	PUNCT
ejpam-3724	135	8	2d(n−	2d(n−	NUM
ejpam-3724	135	9	1	1	NUM
ejpam-3724	135	10	)	)	PUNCT
ejpam-3724	135	11	+	+	CCONJ
ejpam-3724	135	12	(	(	PUNCT
ejpam-3724	135	13	d	d	X
ejpam-3724	135	14	−	−	PROPN
ejpam-3724	135	15	1)(d(u	1)(d(u	NUM
ejpam-3724	135	16	)	)	PUNCT
ejpam-3724	135	17	+	+	CCONJ
ejpam-3724	135	18	d(v))−	d(v))−	NOUN
ejpam-3724	135	19	2	2	NUM
ejpam-3724	135	20	]	]	SYM
ejpam-3724	135	21	3	3	NUM
ejpam-3724	135	22	≤	≤	NUM
ejpam-3724	135	23	taz(g	taz(g	NOUN
ejpam-3724	135	24	)	)	PUNCT
ejpam-3724	135	25	≤	≤	NOUN
ejpam-3724	135	26	∑	∑	PUNCT
ejpam-3724	135	27	uv/∈e(g	uv/∈e(g	NOUN
ejpam-3724	135	28	)	)	PUNCT
ejpam-3724	135	29	[	[	PUNCT
ejpam-3724	135	30	4n2	4n2	NUM
ejpam-3724	135	31	−	−	NOUN
ejpam-3724	135	32	8n−	8n−	NUM
ejpam-3724	135	33	4	4	NUM
ejpam-3724	135	34	+	+	CCONJ
ejpam-3724	135	35	(	(	PUNCT
ejpam-3724	135	36	2−	2−	NUM
ejpam-3724	135	37	2n)(d(u	2n)(d(u	NUM
ejpam-3724	135	38	)	)	PUNCT
ejpam-3724	135	39	+	+	X
ejpam-3724	135	40	d(v	d(v	PROPN
ejpam-3724	135	41	)	)	PUNCT
ejpam-3724	135	42	)	)	PUNCT
ejpam-3724	136	1	+	+	CCONJ
ejpam-3724	136	2	d(u)d(v	d(u)d(v	NOUN
ejpam-3724	136	3	)	)	PUNCT
ejpam-3724	137	1	4n−	4n−	NUM
ejpam-3724	137	2	6−	6−	NUM
ejpam-3724	137	3	(	(	PUNCT
ejpam-3724	137	4	d(u	d(u	PROPN
ejpam-3724	137	5	)	)	PUNCT
ejpam-3724	137	6	+	+	X
ejpam-3724	137	7	d(v	d(v	PROPN
ejpam-3724	137	8	)	)	PUNCT
ejpam-3724	137	9	)	)	PUNCT
ejpam-3724	137	10	]	]	PUNCT
ejpam-3724	137	11	.	.	PUNCT
ejpam-3724	138	1	(	(	PUNCT
ejpam-3724	138	2	14	14	NUM
ejpam-3724	138	3	)	)	PUNCT
ejpam-3724	138	4	theorem	theorem	NOUN
ejpam-3724	138	5	5	5	NUM
ejpam-3724	138	6	.	.	PUNCT
ejpam-3724	139	1	let	let	VERB
ejpam-3724	139	2	g	g	PRON
ejpam-3724	139	3	be	be	AUX
ejpam-3724	139	4	a	a	DET
ejpam-3724	139	5	connected	connected	ADJ
ejpam-3724	139	6	graph	graph	NOUN
ejpam-3724	139	7	with	with	ADP
ejpam-3724	139	8	n	n	ADP
ejpam-3724	139	9	vertices	vertex	NOUN
ejpam-3724	139	10	and	and	CCONJ
ejpam-3724	139	11	let	let	VERB
ejpam-3724	139	12	d	d	NOUN
ejpam-3724	139	13	=	=	SYM
ejpam-3724	139	14	diam(g	diam(g	PROPN
ejpam-3724	139	15	)	)	PUNCT
ejpam-3724	139	16	.	.	PUNCT
ejpam-3724	140	1	then	then	ADV
ejpam-3724	140	2	,	,	PUNCT
ejpam-3724	140	3	∑	∑	PROPN
ejpam-3724	140	4	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	140	5	)	)	PUNCT
ejpam-3724	140	6	2	2	NUM
ejpam-3724	140	7	√	√	NUM
ejpam-3724	140	8	(	(	PUNCT
ejpam-3724	140	9	d(n−	d(n−	PROPN
ejpam-3724	140	10	1)−	1)−	PROPN
ejpam-3724	140	11	(	(	PUNCT
ejpam-3724	140	12	d	d	PROPN
ejpam-3724	140	13	−	−	PROPN
ejpam-3724	140	14	1)d(u	1)d(u	NUM
ejpam-3724	140	15	)	)	PUNCT
ejpam-3724	140	16	)	)	PUNCT
ejpam-3724	140	17	(	(	PUNCT
ejpam-3724	140	18	d(n−	d(n−	PROPN
ejpam-3724	140	19	1)−	1)−	PROPN
ejpam-3724	140	20	(	(	PUNCT
ejpam-3724	140	21	d	d	NOUN
ejpam-3724	140	22	−	−	PROPN
ejpam-3724	140	23	1)d(v	1)d(v	NUM
ejpam-3724	140	24	)	)	PUNCT
ejpam-3724	140	25	)	)	PUNCT
ejpam-3724	140	26	2d(n−	2d(n−	NUM
ejpam-3724	141	1	1)−	1)−	NUM
ejpam-3724	141	2	(	(	PUNCT
ejpam-3724	141	3	d	d	PROPN
ejpam-3724	141	4	−	−	PROPN
ejpam-3724	141	5	1)(d(u	1)(d(u	NUM
ejpam-3724	141	6	)	)	PUNCT
ejpam-3724	142	1	+	+	X
ejpam-3724	142	2	d(v	d(v	PROPN
ejpam-3724	142	3	)	)	PUNCT
ejpam-3724	142	4	)	)	PUNCT
ejpam-3724	143	1	≤	≤	PROPN
ejpam-3724	143	2	tga	tga	PROPN
ejpam-3724	143	3	∑	∑	PROPN
ejpam-3724	143	4	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	143	5	)	)	PUNCT
ejpam-3724	143	6	2	2	NUM
ejpam-3724	143	7	√	√	NUM
ejpam-3724	143	8	(	(	PUNCT
ejpam-3724	143	9	2n−	2n−	PROPN
ejpam-3724	143	10	2−	2−	NUM
ejpam-3724	143	11	d(u	d(u	NOUN
ejpam-3724	143	12	)	)	PUNCT
ejpam-3724	143	13	)	)	PUNCT
ejpam-3724	144	1	(	(	PUNCT
ejpam-3724	144	2	2n−	2n−	PROPN
ejpam-3724	144	3	2−	2−	NUM
ejpam-3724	144	4	d(v	d(v	NOUN
ejpam-3724	144	5	)	)	PUNCT
ejpam-3724	144	6	)	)	PUNCT
ejpam-3724	145	1	4n−	4n−	NUM
ejpam-3724	145	2	4−	4−	NOUN
ejpam-3724	145	3	(	(	PUNCT
ejpam-3724	145	4	d(u	d(u	PROPN
ejpam-3724	145	5	)	)	PUNCT
ejpam-3724	145	6	+	+	X
ejpam-3724	145	7	d(v	d(v	PROPN
ejpam-3724	145	8	)	)	PUNCT
ejpam-3724	145	9	)	)	PUNCT
ejpam-3724	145	10	.	.	PUNCT
ejpam-3724	146	1	(	(	PUNCT
ejpam-3724	146	2	15	15	NUM
ejpam-3724	146	3	)	)	PUNCT
ejpam-3724	146	4	theorem	theorem	NOUN
ejpam-3724	146	5	6	6	NUM
ejpam-3724	146	6	.	.	PUNCT
ejpam-3724	147	1	let	let	VERB
ejpam-3724	147	2	g	g	PRON
ejpam-3724	147	3	be	be	AUX
ejpam-3724	147	4	a	a	DET
ejpam-3724	147	5	connected	connected	ADJ
ejpam-3724	147	6	graph	graph	NOUN
ejpam-3724	147	7	with	with	ADP
ejpam-3724	147	8	n	n	ADP
ejpam-3724	147	9	vertices	vertex	NOUN
ejpam-3724	147	10	and	and	CCONJ
ejpam-3724	147	11	let	let	VERB
ejpam-3724	147	12	diam(g	diam(g	NOUN
ejpam-3724	147	13	)	)	PUNCT
ejpam-3724	147	14	=	=	SYM
ejpam-3724	147	15	d.	d.	PROPN
ejpam-3724	147	16	then,∑	then,∑	PROPN
ejpam-3724	147	17	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	147	18	)	)	PUNCT
ejpam-3724	147	19	1√	1√	PROPN
ejpam-3724	147	20	(	(	PUNCT
ejpam-3724	147	21	n−	n−	NOUN
ejpam-3724	147	22	1	1	NUM
ejpam-3724	147	23	)	)	PUNCT
ejpam-3724	147	24	+	+	CCONJ
ejpam-3724	147	25	1	1	NUM
ejpam-3724	147	26	2(d(u	2(d(u	NUM
ejpam-3724	147	27	)	)	PUNCT
ejpam-3724	148	1	+	+	CCONJ
ejpam-3724	148	2	d(v	d(v	PROPN
ejpam-3724	148	3	)	)	PUNCT
ejpam-3724	148	4	)	)	PUNCT
ejpam-3724	148	5	≤	≤	NUM
ejpam-3724	148	6	rtsc(g	rtsc(g	NOUN
ejpam-3724	148	7	)	)	PUNCT
ejpam-3724	148	8	≤	≤	NOUN
ejpam-3724	148	9	∑	∑	PUNCT
ejpam-3724	148	10	uv/∈e(g	uv/∈e(g	NOUN
ejpam-3724	148	11	)	)	PUNCT
ejpam-3724	148	12	1√	1√	PROPN
ejpam-3724	148	13	2(n−1	2(n−1	NUM
ejpam-3724	148	14	)	)	PUNCT
ejpam-3724	149	1	d	d	NOUN
ejpam-3724	149	2	+	+	CCONJ
ejpam-3724	149	3	(	(	PUNCT
ejpam-3724	149	4	1−	1−	NUM
ejpam-3724	149	5	1	1	NUM
ejpam-3724	149	6	d	d	NOUN
ejpam-3724	149	7	)	)	PUNCT
ejpam-3724	149	8	(	(	PUNCT
ejpam-3724	149	9	d(u	d(u	PROPN
ejpam-3724	149	10	)	)	PUNCT
ejpam-3724	149	11	+	+	X
ejpam-3724	149	12	d(v	d(v	PROPN
ejpam-3724	149	13	)	)	PUNCT
ejpam-3724	149	14	)	)	PUNCT
ejpam-3724	149	15	.	.	PUNCT
ejpam-3724	150	1	(	(	PUNCT
ejpam-3724	150	2	16	16	X
ejpam-3724	150	3	)	)	PUNCT
ejpam-3724	150	4	proof	proof	NOUN
ejpam-3724	150	5	.	.	PUNCT
ejpam-3724	151	1	lower	lower	ADV
ejpam-3724	151	2	bound	bind	VERB
ejpam-3724	151	3	:	:	PUNCT
ejpam-3724	151	4	for	for	ADP
ejpam-3724	151	5	any	any	DET
ejpam-3724	151	6	vertex	vertex	NOUN
ejpam-3724	151	7	u	u	NOUN
ejpam-3724	151	8	of	of	ADP
ejpam-3724	151	9	g	g	PROPN
ejpam-3724	151	10	there	there	PRON
ejpam-3724	151	11	are	be	VERB
ejpam-3724	151	12	d(u	d(u	NOUN
ejpam-3724	151	13	)	)	PUNCT
ejpam-3724	151	14	vertices	vertex	NOUN
ejpam-3724	151	15	which	which	PRON
ejpam-3724	151	16	are	be	AUX
ejpam-3724	151	17	at	at	ADP
ejpam-3724	151	18	distance	distance	NOUN
ejpam-3724	151	19	1	1	NUM
ejpam-3724	151	20	from	from	ADP
ejpam-3724	151	21	u	u	NOUN
ejpam-3724	151	22	and	and	CCONJ
ejpam-3724	151	23	remaining	remain	VERB
ejpam-3724	151	24	n−	n−	PROPN
ejpam-3724	151	25	1−	1−	NUM
ejpam-3724	151	26	d(u	d(u	NOUN
ejpam-3724	151	27	)	)	PUNCT
ejpam-3724	151	28	vertices	vertex	NOUN
ejpam-3724	151	29	are	be	AUX
ejpam-3724	151	30	at	at	ADP
ejpam-3724	151	31	distance	distance	NOUN
ejpam-3724	151	32	at	at	ADV
ejpam-3724	151	33	least	least	ADJ
ejpam-3724	151	34	2	2	NUM
ejpam-3724	151	35	.	.	X
ejpam-3724	151	36	therefore	therefore	ADV
ejpam-3724	151	37	rs(u	rs(u	ADJ
ejpam-3724	151	38	)	)	PUNCT
ejpam-3724	151	39	≤	≤	NUM
ejpam-3724	151	40	1	1	NUM
ejpam-3724	151	41	2(n−	2(n−	NUM
ejpam-3724	151	42	1	1	NUM
ejpam-3724	151	43	+	+	CCONJ
ejpam-3724	151	44	d(u	d(u	PROPN
ejpam-3724	151	45	)	)	PUNCT
ejpam-3724	151	46	)	)	PUNCT
ejpam-3724	151	47	and	and	CCONJ
ejpam-3724	151	48	rs(u	rs(u	ADJ
ejpam-3724	151	49	)	)	PUNCT
ejpam-3724	151	50	+	+	NUM
ejpam-3724	151	51	rs(v	rs(v	NOUN
ejpam-3724	151	52	)	)	PUNCT
ejpam-3724	151	53	≤	≤	NOUN
ejpam-3724	151	54	(	(	PUNCT
ejpam-3724	151	55	n−	n−	NOUN
ejpam-3724	151	56	1	1	NUM
ejpam-3724	151	57	)	)	PUNCT
ejpam-3724	152	1	+	+	CCONJ
ejpam-3724	152	2	1	1	NUM
ejpam-3724	152	3	2(d(u	2(d(u	NUM
ejpam-3724	152	4	)	)	PUNCT
ejpam-3724	153	1	+	+	CCONJ
ejpam-3724	153	2	d(v	d(v	PROPN
ejpam-3724	153	3	)	)	PUNCT
ejpam-3724	153	4	)	)	PUNCT
ejpam-3724	153	5	.	.	PUNCT
ejpam-3724	154	1	we	we	PRON
ejpam-3724	154	2	have	have	VERB
ejpam-3724	154	3	rtsc(g	rtsc(g	NOUN
ejpam-3724	154	4	)	)	PUNCT
ejpam-3724	154	5	=	=	SYM
ejpam-3724	154	6	∑	∑	PROPN
ejpam-3724	154	7	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	154	8	)	)	PUNCT
ejpam-3724	154	9	1√	1√	PROPN
ejpam-3724	154	10	rs(u	rs(u	NOUN
ejpam-3724	154	11	)	)	PUNCT
ejpam-3724	154	12	+	+	NUM
ejpam-3724	154	13	rs(v	rs(v	NOUN
ejpam-3724	154	14	)	)	PUNCT
ejpam-3724	154	15	h.	h.	PROPN
ejpam-3724	154	16	s.	s.	PROPN
ejpam-3724	154	17	ramane	ramane	PROPN
ejpam-3724	154	18	,	,	PUNCT
ejpam-3724	154	19	s.	s.	PROPN
ejpam-3724	154	20	y.	y.	PROPN
ejpam-3724	154	21	talwar	talwar	PROPN
ejpam-3724	154	22	,	,	PUNCT
ejpam-3724	154	23	i.	i.	PROPN
ejpam-3724	154	24	n.	n.	PROPN
ejpam-3724	154	25	cangul	cangul	PROPN
ejpam-3724	154	26	/	/	SYM
ejpam-3724	154	27	eur	eur	NOUN
ejpam-3724	154	28	.	.	PUNCT
ejpam-3724	155	1	j.	j.	PROPN
ejpam-3724	155	2	pure	pure	PROPN
ejpam-3724	155	3	appl	appl	PROPN
ejpam-3724	155	4	.	.	PROPN
ejpam-3724	155	5	math	math	PROPN
ejpam-3724	155	6	,	,	PUNCT
ejpam-3724	155	7	13	13	NUM
ejpam-3724	155	8	(	(	PUNCT
ejpam-3724	155	9	5	5	NUM
ejpam-3724	155	10	)	)	PUNCT
ejpam-3724	155	11	(	(	PUNCT
ejpam-3724	155	12	2020	2020	NUM
ejpam-3724	155	13	)	)	PUNCT
ejpam-3724	155	14	,	,	PUNCT
ejpam-3724	155	15	1057	1057	NUM
ejpam-3724	155	16	-	-	SYM
ejpam-3724	155	17	1071	1071	NUM
ejpam-3724	155	18	1064	1064	NUM
ejpam-3724	155	19	≥	≥	NOUN
ejpam-3724	155	20	∑	∑	SYM
ejpam-3724	155	21	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	155	22	)	)	PUNCT
ejpam-3724	155	23	1√	1√	PROPN
ejpam-3724	155	24	(	(	PUNCT
ejpam-3724	155	25	n−	n−	NOUN
ejpam-3724	155	26	1	1	NUM
ejpam-3724	155	27	)	)	PUNCT
ejpam-3724	155	28	+	+	CCONJ
ejpam-3724	155	29	1	1	NUM
ejpam-3724	155	30	2(d(u	2(d(u	NUM
ejpam-3724	155	31	)	)	PUNCT
ejpam-3724	156	1	+	+	CCONJ
ejpam-3724	156	2	d(v	d(v	PROPN
ejpam-3724	156	3	)	)	PUNCT
ejpam-3724	156	4	)	)	PUNCT
ejpam-3724	156	5	.	.	PUNCT
ejpam-3724	157	1	upper	upper	ADJ
ejpam-3724	157	2	bound	bind	VERB
ejpam-3724	157	3	:	:	PUNCT
ejpam-3724	157	4	for	for	ADP
ejpam-3724	157	5	any	any	DET
ejpam-3724	157	6	vertex	vertex	NOUN
ejpam-3724	157	7	u	u	NOUN
ejpam-3724	157	8	of	of	ADP
ejpam-3724	157	9	g	g	PROPN
ejpam-3724	157	10	there	there	PRON
ejpam-3724	157	11	are	be	VERB
ejpam-3724	157	12	d(u	d(u	NOUN
ejpam-3724	157	13	)	)	PUNCT
ejpam-3724	157	14	vertices	vertex	NOUN
ejpam-3724	157	15	which	which	PRON
ejpam-3724	157	16	are	be	AUX
ejpam-3724	157	17	at	at	ADP
ejpam-3724	157	18	distance	distance	NOUN
ejpam-3724	157	19	1	1	NUM
ejpam-3724	157	20	from	from	ADP
ejpam-3724	157	21	u	u	NOUN
ejpam-3724	157	22	and	and	CCONJ
ejpam-3724	157	23	remaining	remain	VERB
ejpam-3724	157	24	n−	n−	PROPN
ejpam-3724	157	25	1−	1−	NUM
ejpam-3724	157	26	d(u	d(u	NOUN
ejpam-3724	157	27	)	)	PUNCT
ejpam-3724	157	28	vertices	vertex	NOUN
ejpam-3724	157	29	are	be	AUX
ejpam-3724	157	30	at	at	ADP
ejpam-3724	157	31	distance	distance	NOUN
ejpam-3724	157	32	at	at	ADP
ejpam-3724	157	33	most	most	ADJ
ejpam-3724	157	34	d.	d.	NOUN
ejpam-3724	157	35	therefore	therefore	ADV
ejpam-3724	157	36	rs(u	rs(u	PUNCT
ejpam-3724	157	37	)	)	PUNCT
ejpam-3724	157	38	≥	≥	NOUN
ejpam-3724	157	39	1	1	NUM
ejpam-3724	157	40	d	d	NOUN
ejpam-3724	157	41	(	(	PUNCT
ejpam-3724	157	42	n−	n−	NOUN
ejpam-3724	157	43	1	1	NUM
ejpam-3724	157	44	)	)	PUNCT
ejpam-3724	158	1	+	+	CCONJ
ejpam-3724	158	2	(	(	PUNCT
ejpam-3724	158	3	1−	1−	NUM
ejpam-3724	158	4	1	1	NUM
ejpam-3724	158	5	d	d	NOUN
ejpam-3724	158	6	)	)	PUNCT
ejpam-3724	158	7	d(u	d(u	PROPN
ejpam-3724	158	8	)	)	PUNCT
ejpam-3724	158	9	and	and	CCONJ
ejpam-3724	158	10	rs(u	rs(u	ADJ
ejpam-3724	158	11	)	)	PUNCT
ejpam-3724	159	1	+	+	NUM
ejpam-3724	159	2	rs(v	rs(v	NOUN
ejpam-3724	159	3	)	)	PUNCT
ejpam-3724	159	4	≥	≥	NOUN
ejpam-3724	159	5	2(n−1	2(n−1	NUM
ejpam-3724	159	6	)	)	PUNCT
ejpam-3724	160	1	d	d	X
ejpam-3724	160	2	+	+	CCONJ
ejpam-3724	160	3	(	(	PUNCT
ejpam-3724	160	4	1−	1−	NUM
ejpam-3724	160	5	1	1	NUM
ejpam-3724	160	6	d	d	NOUN
ejpam-3724	160	7	)	)	PUNCT
ejpam-3724	160	8	(	(	PUNCT
ejpam-3724	160	9	d(u	d(u	PROPN
ejpam-3724	160	10	)	)	PUNCT
ejpam-3724	160	11	+	+	X
ejpam-3724	160	12	d(v	d(v	PROPN
ejpam-3724	160	13	)	)	PUNCT
ejpam-3724	160	14	)	)	PUNCT
ejpam-3724	160	15	.	.	PUNCT
ejpam-3724	161	1	we	we	PRON
ejpam-3724	161	2	have	have	VERB
ejpam-3724	161	3	rtsc(g	rtsc(g	NOUN
ejpam-3724	161	4	)	)	PUNCT
ejpam-3724	161	5	≤	≤	NOUN
ejpam-3724	161	6	∑	∑	PUNCT
ejpam-3724	161	7	uv/∈e(g	uv/∈e(g	NOUN
ejpam-3724	161	8	)	)	PUNCT
ejpam-3724	161	9	1√	1√	PROPN
ejpam-3724	161	10	2(n−1	2(n−1	NUM
ejpam-3724	161	11	)	)	PUNCT
ejpam-3724	162	1	d	d	NOUN
ejpam-3724	162	2	+	+	CCONJ
ejpam-3724	162	3	(	(	PUNCT
ejpam-3724	162	4	1−	1−	NUM
ejpam-3724	162	5	1	1	NUM
ejpam-3724	162	6	d	d	NOUN
ejpam-3724	162	7	)	)	PUNCT
ejpam-3724	162	8	(	(	PUNCT
ejpam-3724	162	9	d(u	d(u	PROPN
ejpam-3724	162	10	)	)	PUNCT
ejpam-3724	162	11	+	+	X
ejpam-3724	162	12	d(v	d(v	PROPN
ejpam-3724	162	13	)	)	PUNCT
ejpam-3724	162	14	)	)	PUNCT
ejpam-3724	162	15	.	.	PUNCT
ejpam-3724	163	1	theorems	theorems	PROPN
ejpam-3724	163	2	7	7	NUM
ejpam-3724	163	3	,	,	PUNCT
ejpam-3724	163	4	8	8	NUM
ejpam-3724	163	5	,	,	PUNCT
ejpam-3724	163	6	9	9	NUM
ejpam-3724	163	7	and	and	CCONJ
ejpam-3724	163	8	10	10	NUM
ejpam-3724	163	9	can	can	AUX
ejpam-3724	163	10	be	be	AUX
ejpam-3724	163	11	proved	prove	VERB
ejpam-3724	163	12	analogously	analogously	ADV
ejpam-3724	163	13	to	to	PART
ejpam-3724	163	14	theorem	theorem	VERB
ejpam-3724	163	15	6	6	NUM
ejpam-3724	163	16	:	:	PUNCT
ejpam-3724	163	17	theorem	theorem	NOUN
ejpam-3724	163	18	7	7	NUM
ejpam-3724	163	19	.	.	PUNCT
ejpam-3724	164	1	let	let	VERB
ejpam-3724	164	2	g	g	PRON
ejpam-3724	164	3	be	be	AUX
ejpam-3724	164	4	a	a	DET
ejpam-3724	164	5	connected	connected	ADJ
ejpam-3724	164	6	graph	graph	NOUN
ejpam-3724	164	7	with	with	ADP
ejpam-3724	164	8	n	n	ADP
ejpam-3724	164	9	vertices	vertex	NOUN
ejpam-3724	164	10	and	and	CCONJ
ejpam-3724	164	11	let	let	VERB
ejpam-3724	164	12	diam(g	diam(g	NOUN
ejpam-3724	164	13	)	)	PUNCT
ejpam-3724	165	1	=	=	SYM
ejpam-3724	165	2	d.	d.	PROPN
ejpam-3724	165	3	then	then	ADV
ejpam-3724	165	4	∑	∑	PROPN
ejpam-3724	165	5	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	165	6	)	)	PUNCT
ejpam-3724	165	7	√	√	ADV
ejpam-3724	165	8	2	2	NUM
ejpam-3724	165	9	(	(	PUNCT
ejpam-3724	165	10	2(n−	2(n−	NUM
ejpam-3724	165	11	1	1	NUM
ejpam-3724	165	12	)	)	PUNCT
ejpam-3724	165	13	+	+	CCONJ
ejpam-3724	165	14	d(u	d(u	PROPN
ejpam-3724	165	15	)	)	PUNCT
ejpam-3724	166	1	+	+	CCONJ
ejpam-3724	166	2	d(v)−	d(v)−	PROPN
ejpam-3724	166	3	4	4	NUM
ejpam-3724	166	4	)	)	PUNCT
ejpam-3724	166	5	(	(	PUNCT
ejpam-3724	166	6	n−	n−	NOUN
ejpam-3724	166	7	1)2	1)2	NUM
ejpam-3724	166	8	+	+	CCONJ
ejpam-3724	166	9	(	(	PUNCT
ejpam-3724	166	10	n−	n−	NOUN
ejpam-3724	166	11	1)(d(u	1)(d(u	NUM
ejpam-3724	166	12	)	)	PUNCT
ejpam-3724	166	13	+	+	X
ejpam-3724	166	14	d(v	d(v	PROPN
ejpam-3724	166	15	)	)	PUNCT
ejpam-3724	166	16	)	)	PUNCT
ejpam-3724	167	1	+	+	CCONJ
ejpam-3724	167	2	d(u)d(v	d(u)d(v	NOUN
ejpam-3724	167	3	)	)	PUNCT
ejpam-3724	167	4	≤	≤	NOUN
ejpam-3724	167	5	rtabc(g	rtabc(g	NOUN
ejpam-3724	167	6	)	)	PUNCT
ejpam-3724	167	7	≤	≤	NOUN
ejpam-3724	167	8	∑	∑	PUNCT
ejpam-3724	167	9	uv/∈e(g	uv/∈e(g	NOUN
ejpam-3724	167	10	)	)	PUNCT
ejpam-3724	167	11	√√√√	√√√√	PRON
ejpam-3724	167	12	2(n−1	2(n−1	NOUN
ejpam-3724	167	13	)	)	PUNCT
ejpam-3724	168	1	d	d	NOUN
ejpam-3724	168	2	+	+	CCONJ
ejpam-3724	168	3	(	(	PUNCT
ejpam-3724	168	4	1−	1−	NUM
ejpam-3724	168	5	1	1	NUM
ejpam-3724	168	6	d	d	NOUN
ejpam-3724	168	7	)	)	PUNCT
ejpam-3724	168	8	(	(	PUNCT
ejpam-3724	168	9	d(u	d(u	PROPN
ejpam-3724	168	10	)	)	PUNCT
ejpam-3724	169	1	+	+	CCONJ
ejpam-3724	169	2	d(v))−	d(v))−	NOUN
ejpam-3724	169	3	2	2	NUM
ejpam-3724	169	4	(	(	PUNCT
ejpam-3724	169	5	1	1	NUM
ejpam-3724	169	6	d	d	NOUN
ejpam-3724	169	7	(	(	PUNCT
ejpam-3724	169	8	n−	n−	NOUN
ejpam-3724	169	9	1	1	NUM
ejpam-3724	169	10	)	)	PUNCT
ejpam-3724	169	11	)	)	PUNCT
ejpam-3724	169	12	2	2	NUM
ejpam-3724	170	1	+	+	CCONJ
ejpam-3724	170	2	(	(	PUNCT
ejpam-3724	170	3	1−	1−	NUM
ejpam-3724	170	4	1	1	NUM
ejpam-3724	170	5	d	d	NOUN
ejpam-3724	170	6	)	)	PUNCT
ejpam-3724	170	7	d(u)d(v	d(u)d(v	NOUN
ejpam-3724	170	8	)	)	PUNCT
ejpam-3724	171	1	+	+	CCONJ
ejpam-3724	171	2	(	(	PUNCT
ejpam-3724	171	3	n−1	n−1	PROPN
ejpam-3724	171	4	)	)	PUNCT
ejpam-3724	171	5	d	d	NOUN
ejpam-3724	171	6	(	(	PUNCT
ejpam-3724	171	7	1−	1−	NUM
ejpam-3724	171	8	1	1	NUM
ejpam-3724	171	9	d	d	NOUN
ejpam-3724	171	10	)	)	PUNCT
ejpam-3724	171	11	(	(	PUNCT
ejpam-3724	171	12	d(u	d(u	PROPN
ejpam-3724	171	13	)	)	PUNCT
ejpam-3724	171	14	+	+	X
ejpam-3724	171	15	d(v	d(v	PROPN
ejpam-3724	171	16	)	)	PUNCT
ejpam-3724	171	17	)	)	PUNCT
ejpam-3724	171	18	.	.	PUNCT
ejpam-3724	172	1	(	(	PUNCT
ejpam-3724	172	2	17	17	NUM
ejpam-3724	172	3	)	)	PUNCT
ejpam-3724	172	4	theorem	theorem	NOUN
ejpam-3724	172	5	8	8	NUM
ejpam-3724	172	6	.	.	PUNCT
ejpam-3724	173	1	let	let	VERB
ejpam-3724	173	2	g	g	PRON
ejpam-3724	173	3	be	be	AUX
ejpam-3724	173	4	a	a	DET
ejpam-3724	173	5	connected	connected	ADJ
ejpam-3724	173	6	graph	graph	NOUN
ejpam-3724	173	7	with	with	ADP
ejpam-3724	173	8	n	n	ADP
ejpam-3724	173	9	vertices	vertex	NOUN
ejpam-3724	173	10	and	and	CCONJ
ejpam-3724	173	11	let	let	VERB
ejpam-3724	173	12	diam(g	diam(g	NOUN
ejpam-3724	173	13	)	)	PUNCT
ejpam-3724	174	1	=	=	SYM
ejpam-3724	174	2	d.	d.	PROPN
ejpam-3724	174	3	then	then	ADV
ejpam-3724	174	4	∑	∑	PROPN
ejpam-3724	174	5	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	174	6	)	)	PUNCT
ejpam-3724	174	7	[	[	PUNCT
ejpam-3724	174	8	(	(	PUNCT
ejpam-3724	174	9	n−	n−	NOUN
ejpam-3724	174	10	1)2	1)2	NUM
ejpam-3724	174	11	+	+	CCONJ
ejpam-3724	174	12	(	(	PUNCT
ejpam-3724	174	13	n−	n−	NOUN
ejpam-3724	174	14	1)(d(u	1)(d(u	NUM
ejpam-3724	174	15	)	)	PUNCT
ejpam-3724	174	16	+	+	X
ejpam-3724	174	17	d(v	d(v	PROPN
ejpam-3724	174	18	)	)	PUNCT
ejpam-3724	174	19	)	)	PUNCT
ejpam-3724	175	1	+	+	CCONJ
ejpam-3724	175	2	d(u)d(v	d(u)d(v	VERB
ejpam-3724	175	3	)	)	PUNCT
ejpam-3724	175	4	2	2	NUM
ejpam-3724	175	5	(	(	PUNCT
ejpam-3724	175	6	2(n−	2(n−	NUM
ejpam-3724	175	7	1	1	NUM
ejpam-3724	175	8	)	)	PUNCT
ejpam-3724	175	9	+	+	CCONJ
ejpam-3724	175	10	d(u	d(u	PROPN
ejpam-3724	175	11	)	)	PUNCT
ejpam-3724	176	1	+	+	CCONJ
ejpam-3724	176	2	d(v)−	d(v)−	PROPN
ejpam-3724	176	3	4	4	NUM
ejpam-3724	176	4	)	)	PUNCT
ejpam-3724	176	5	]	]	PUNCT
ejpam-3724	176	6	3	3	X
ejpam-3724	176	7	≤	≤	X
ejpam-3724	176	8	rtaz(g	rtaz(g	NOUN
ejpam-3724	176	9	)	)	PUNCT
ejpam-3724	176	10	≤	≤	NOUN
ejpam-3724	176	11	∑	∑	PUNCT
ejpam-3724	176	12	uv/∈e(g	uv/∈e(g	NOUN
ejpam-3724	176	13	)	)	PUNCT
ejpam-3724	177	1	[	[	X
ejpam-3724	177	2	(	(	PUNCT
ejpam-3724	177	3	1	1	NUM
ejpam-3724	177	4	d	d	NOUN
ejpam-3724	177	5	(	(	PUNCT
ejpam-3724	177	6	n−	n−	NOUN
ejpam-3724	177	7	1	1	NUM
ejpam-3724	177	8	)	)	PUNCT
ejpam-3724	177	9	)	)	PUNCT
ejpam-3724	177	10	2	2	NUM
ejpam-3724	178	1	+	+	CCONJ
ejpam-3724	178	2	(	(	PUNCT
ejpam-3724	178	3	1−	1−	NUM
ejpam-3724	178	4	1	1	NUM
ejpam-3724	178	5	d	d	NOUN
ejpam-3724	178	6	)	)	PUNCT
ejpam-3724	178	7	d(u)d(v	d(u)d(v	NOUN
ejpam-3724	178	8	)	)	PUNCT
ejpam-3724	179	1	+	+	CCONJ
ejpam-3724	179	2	n−1	n−1	PROPN
ejpam-3724	179	3	d	d	NOUN
ejpam-3724	179	4	(	(	PUNCT
ejpam-3724	179	5	1−	1−	NUM
ejpam-3724	179	6	1	1	NUM
ejpam-3724	179	7	d	d	NOUN
ejpam-3724	179	8	)	)	PUNCT
ejpam-3724	179	9	(	(	PUNCT
ejpam-3724	179	10	d(u	d(u	PROPN
ejpam-3724	179	11	)	)	PUNCT
ejpam-3724	179	12	+	+	X
ejpam-3724	179	13	d(v	d(v	PROPN
ejpam-3724	179	14	)	)	PUNCT
ejpam-3724	179	15	)	)	PUNCT
ejpam-3724	179	16	2(n−1	2(n−1	X
ejpam-3724	179	17	)	)	PUNCT
ejpam-3724	180	1	d	d	NOUN
ejpam-3724	180	2	+	+	CCONJ
ejpam-3724	180	3	(	(	PUNCT
ejpam-3724	180	4	1−	1−	NUM
ejpam-3724	180	5	1	1	NUM
ejpam-3724	180	6	d	d	NOUN
ejpam-3724	180	7	)	)	PUNCT
ejpam-3724	180	8	(	(	PUNCT
ejpam-3724	180	9	d(u	d(u	PROPN
ejpam-3724	180	10	)	)	PUNCT
ejpam-3724	181	1	+	+	CCONJ
ejpam-3724	181	2	d(v))−	d(v))−	NOUN
ejpam-3724	181	3	2	2	NUM
ejpam-3724	181	4	]	]	SYM
ejpam-3724	181	5	3	3	NUM
ejpam-3724	181	6	.	.	PUNCT
ejpam-3724	182	1	(	(	PUNCT
ejpam-3724	182	2	18	18	NUM
ejpam-3724	182	3	)	)	PUNCT
ejpam-3724	182	4	theorem	theorem	NOUN
ejpam-3724	182	5	9	9	NUM
ejpam-3724	182	6	.	.	PUNCT
ejpam-3724	183	1	let	let	VERB
ejpam-3724	183	2	g	g	PRON
ejpam-3724	183	3	be	be	AUX
ejpam-3724	183	4	a	a	DET
ejpam-3724	183	5	connected	connected	ADJ
ejpam-3724	183	6	graph	graph	NOUN
ejpam-3724	183	7	with	with	ADP
ejpam-3724	183	8	n	n	ADP
ejpam-3724	183	9	vertices	vertex	NOUN
ejpam-3724	183	10	and	and	CCONJ
ejpam-3724	183	11	let	let	VERB
ejpam-3724	183	12	diam(g	diam(g	NOUN
ejpam-3724	183	13	)	)	PUNCT
ejpam-3724	183	14	=	=	SYM
ejpam-3724	183	15	d.	d.	PROPN
ejpam-3724	183	16	then∑	then∑	PROPN
ejpam-3724	183	17	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	183	18	)	)	PUNCT
ejpam-3724	183	19	2(n−	2(n−	NUM
ejpam-3724	183	20	1	1	NUM
ejpam-3724	183	21	)	)	PUNCT
ejpam-3724	184	1	+	+	CCONJ
ejpam-3724	184	2	(	(	PUNCT
ejpam-3724	184	3	d(u	d(u	PROPN
ejpam-3724	184	4	)	)	PUNCT
ejpam-3724	184	5	+	+	X
ejpam-3724	184	6	d(v	d(v	PROPN
ejpam-3724	184	7	)	)	PUNCT
ejpam-3724	184	8	)	)	PUNCT
ejpam-3724	185	1	2	2	NUM
ejpam-3724	185	2	√	√	NUM
ejpam-3724	185	3	(	(	PUNCT
ejpam-3724	185	4	n−	n−	NOUN
ejpam-3724	185	5	1	1	NUM
ejpam-3724	185	6	+	+	CCONJ
ejpam-3724	185	7	d(u))(n−	d(u))(n−	VERB
ejpam-3724	185	8	1	1	NUM
ejpam-3724	185	9	+	+	CCONJ
ejpam-3724	185	10	d(v	d(v	PROPN
ejpam-3724	185	11	)	)	PUNCT
ejpam-3724	185	12	)	)	PUNCT
ejpam-3724	185	13	≤	≤	NUM
ejpam-3724	185	14	rtag(g	rtag(g	PROPN
ejpam-3724	185	15	)	)	PUNCT
ejpam-3724	185	16	≤	≤	NOUN
ejpam-3724	185	17	∑	∑	PUNCT
ejpam-3724	185	18	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	185	19	)	)	PUNCT
ejpam-3724	185	20	2(n−1	2(n−1	ADJ
ejpam-3724	185	21	)	)	PUNCT
ejpam-3724	186	1	d	d	NOUN
ejpam-3724	186	2	+	+	CCONJ
ejpam-3724	186	3	(	(	PUNCT
ejpam-3724	186	4	1−	1−	NUM
ejpam-3724	186	5	1	1	NUM
ejpam-3724	186	6	d	d	NOUN
ejpam-3724	186	7	)	)	PUNCT
ejpam-3724	186	8	(	(	PUNCT
ejpam-3724	186	9	d(u	d(u	PROPN
ejpam-3724	186	10	)	)	PUNCT
ejpam-3724	187	1	+	+	X
ejpam-3724	187	2	d(v	d(v	PROPN
ejpam-3724	187	3	)	)	PUNCT
ejpam-3724	187	4	)	)	PUNCT
ejpam-3724	187	5	2	2	NUM
ejpam-3724	187	6	√	√	NUM
ejpam-3724	187	7	(	(	PUNCT
ejpam-3724	187	8	1	1	NUM
ejpam-3724	187	9	d	d	NOUN
ejpam-3724	187	10	(	(	PUNCT
ejpam-3724	187	11	n−	n−	NOUN
ejpam-3724	187	12	1	1	NUM
ejpam-3724	187	13	)	)	PUNCT
ejpam-3724	187	14	)	)	PUNCT
ejpam-3724	187	15	2	2	NUM
ejpam-3724	188	1	+	+	SYM
ejpam-3724	188	2	1	1	NUM
ejpam-3724	188	3	d	d	NOUN
ejpam-3724	188	4	(	(	PUNCT
ejpam-3724	188	5	n−	n−	NOUN
ejpam-3724	188	6	1	1	NUM
ejpam-3724	188	7	)	)	PUNCT
ejpam-3724	188	8	(	(	PUNCT
ejpam-3724	188	9	1−	1−	NUM
ejpam-3724	188	10	1	1	NUM
ejpam-3724	188	11	d	d	NOUN
ejpam-3724	188	12	)	)	PUNCT
ejpam-3724	188	13	(	(	PUNCT
ejpam-3724	188	14	d(u	d(u	PROPN
ejpam-3724	188	15	)	)	PUNCT
ejpam-3724	188	16	+	+	X
ejpam-3724	188	17	d(v	d(v	PROPN
ejpam-3724	188	18	)	)	PUNCT
ejpam-3724	188	19	)	)	PUNCT
ejpam-3724	189	1	+	+	CCONJ
ejpam-3724	189	2	(	(	PUNCT
ejpam-3724	189	3	1−	1−	NUM
ejpam-3724	189	4	1	1	NUM
ejpam-3724	189	5	d	d	NOUN
ejpam-3724	189	6	)	)	PUNCT
ejpam-3724	189	7	2	2	NUM
ejpam-3724	189	8	d(u)d(v	d(u)d(v	NOUN
ejpam-3724	189	9	)	)	PUNCT
ejpam-3724	189	10	.	.	PUNCT
ejpam-3724	190	1	(	(	PUNCT
ejpam-3724	190	2	19	19	NUM
ejpam-3724	190	3	)	)	PUNCT
ejpam-3724	190	4	h.	h.	PROPN
ejpam-3724	190	5	s.	s.	PROPN
ejpam-3724	190	6	ramane	ramane	PROPN
ejpam-3724	190	7	,	,	PUNCT
ejpam-3724	190	8	s.	s.	PROPN
ejpam-3724	190	9	y.	y.	PROPN
ejpam-3724	190	10	talwar	talwar	PROPN
ejpam-3724	190	11	,	,	PUNCT
ejpam-3724	190	12	i.	i.	PROPN
ejpam-3724	190	13	n.	n.	PROPN
ejpam-3724	190	14	cangul	cangul	PROPN
ejpam-3724	190	15	/	/	SYM
ejpam-3724	190	16	eur	eur	NOUN
ejpam-3724	190	17	.	.	PUNCT
ejpam-3724	191	1	j.	j.	PROPN
ejpam-3724	191	2	pure	pure	PROPN
ejpam-3724	191	3	appl	appl	PROPN
ejpam-3724	191	4	.	.	PROPN
ejpam-3724	191	5	math	math	PROPN
ejpam-3724	191	6	,	,	PUNCT
ejpam-3724	191	7	13	13	NUM
ejpam-3724	191	8	(	(	PUNCT
ejpam-3724	191	9	5	5	NUM
ejpam-3724	191	10	)	)	PUNCT
ejpam-3724	191	11	(	(	PUNCT
ejpam-3724	191	12	2020	2020	NUM
ejpam-3724	191	13	)	)	PUNCT
ejpam-3724	191	14	,	,	PUNCT
ejpam-3724	191	15	1057	1057	NUM
ejpam-3724	191	16	-	-	SYM
ejpam-3724	191	17	1071	1071	NUM
ejpam-3724	191	18	1065	1065	NUM
ejpam-3724	191	19	theorem	theorem	VERB
ejpam-3724	191	20	10	10	NUM
ejpam-3724	191	21	.	.	PUNCT
ejpam-3724	192	1	let	let	VERB
ejpam-3724	192	2	g	g	PRON
ejpam-3724	192	3	be	be	AUX
ejpam-3724	192	4	a	a	DET
ejpam-3724	192	5	connected	connected	ADJ
ejpam-3724	192	6	graph	graph	NOUN
ejpam-3724	192	7	with	with	ADP
ejpam-3724	192	8	n	n	ADP
ejpam-3724	192	9	vertices	vertex	NOUN
ejpam-3724	192	10	and	and	CCONJ
ejpam-3724	192	11	let	let	VERB
ejpam-3724	192	12	diam(g	diam(g	NOUN
ejpam-3724	192	13	)	)	PUNCT
ejpam-3724	192	14	=	=	SYM
ejpam-3724	192	15	d.	d.	PROPN
ejpam-3724	192	16	then∑	then∑	PROPN
ejpam-3724	192	17	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	192	18	)	)	PUNCT
ejpam-3724	192	19	2	2	NUM
ejpam-3724	192	20	√	√	NUM
ejpam-3724	192	21	(	(	PUNCT
ejpam-3724	192	22	n−	n−	NOUN
ejpam-3724	192	23	1	1	NUM
ejpam-3724	192	24	+	+	CCONJ
ejpam-3724	192	25	d(u))(n−	d(u))(n−	VERB
ejpam-3724	192	26	1	1	NUM
ejpam-3724	192	27	+	+	CCONJ
ejpam-3724	192	28	d(v	d(v	PROPN
ejpam-3724	192	29	)	)	PUNCT
ejpam-3724	192	30	)	)	PUNCT
ejpam-3724	193	1	2(n−	2(n−	NUM
ejpam-3724	193	2	1	1	NUM
ejpam-3724	193	3	)	)	PUNCT
ejpam-3724	193	4	+	+	CCONJ
ejpam-3724	193	5	(	(	PUNCT
ejpam-3724	193	6	d(u	d(u	PROPN
ejpam-3724	193	7	)	)	PUNCT
ejpam-3724	193	8	+	+	X
ejpam-3724	193	9	d(v	d(v	PROPN
ejpam-3724	193	10	)	)	PUNCT
ejpam-3724	193	11	)	)	PUNCT
ejpam-3724	193	12	≤	≤	PROPN
ejpam-3724	193	13	rtga(g	rtga(g	PROPN
ejpam-3724	193	14	)	)	PUNCT
ejpam-3724	193	15	≤	≤	NOUN
ejpam-3724	193	16	∑	∑	PUNCT
ejpam-3724	193	17	uv/∈e(g	uv/∈e(g	PROPN
ejpam-3724	193	18	)	)	PUNCT
ejpam-3724	193	19	2	2	NUM
ejpam-3724	193	20	√	√	NUM
ejpam-3724	193	21	(	(	PUNCT
ejpam-3724	193	22	1	1	NUM
ejpam-3724	193	23	d	d	NOUN
ejpam-3724	193	24	(	(	PUNCT
ejpam-3724	193	25	n−	n−	NOUN
ejpam-3724	193	26	1	1	NUM
ejpam-3724	193	27	)	)	PUNCT
ejpam-3724	193	28	)	)	PUNCT
ejpam-3724	193	29	2	2	NUM
ejpam-3724	194	1	+	+	SYM
ejpam-3724	194	2	1	1	NUM
ejpam-3724	194	3	d	d	NOUN
ejpam-3724	194	4	(	(	PUNCT
ejpam-3724	194	5	n−	n−	NOUN
ejpam-3724	194	6	1	1	NUM
ejpam-3724	194	7	)	)	PUNCT
ejpam-3724	194	8	(	(	PUNCT
ejpam-3724	194	9	1−	1−	NUM
ejpam-3724	194	10	1	1	NUM
ejpam-3724	194	11	d	d	NOUN
ejpam-3724	194	12	)	)	PUNCT
ejpam-3724	194	13	(	(	PUNCT
ejpam-3724	194	14	d(u	d(u	PROPN
ejpam-3724	194	15	)	)	PUNCT
ejpam-3724	194	16	+	+	X
ejpam-3724	194	17	d(v	d(v	PROPN
ejpam-3724	194	18	)	)	PUNCT
ejpam-3724	194	19	)	)	PUNCT
ejpam-3724	195	1	+	+	CCONJ
ejpam-3724	195	2	(	(	PUNCT
ejpam-3724	195	3	1−	1−	NUM
ejpam-3724	195	4	1	1	NUM
ejpam-3724	195	5	d	d	NOUN
ejpam-3724	195	6	)	)	PUNCT
ejpam-3724	195	7	2	2	NUM
ejpam-3724	195	8	d(u)d(v	d(u)d(v	NOUN
ejpam-3724	195	9	)	)	PUNCT
ejpam-3724	195	10	2(n−1	2(n−1	ADJ
ejpam-3724	195	11	)	)	PUNCT
ejpam-3724	196	1	d	d	NOUN
ejpam-3724	196	2	+	+	CCONJ
ejpam-3724	196	3	(	(	PUNCT
ejpam-3724	196	4	1−	1−	NUM
ejpam-3724	196	5	1	1	NUM
ejpam-3724	196	6	d	d	NOUN
ejpam-3724	196	7	)	)	PUNCT
ejpam-3724	196	8	(	(	PUNCT
ejpam-3724	196	9	d(u	d(u	PROPN
ejpam-3724	196	10	)	)	PUNCT
ejpam-3724	196	11	+	+	X
ejpam-3724	196	12	d(v	d(v	PROPN
ejpam-3724	196	13	)	)	PUNCT
ejpam-3724	196	14	)	)	PUNCT
ejpam-3724	196	15	.	.	PUNCT
ejpam-3724	197	1	(	(	PUNCT
ejpam-3724	197	2	20	20	NUM
ejpam-3724	197	3	)	)	PUNCT
ejpam-3724	197	4	3	3	NUM
ejpam-3724	197	5	.	.	X
ejpam-3724	198	1	transmission	transmission	NOUN
ejpam-3724	198	2	and	and	CCONJ
ejpam-3724	198	3	reciprocal	reciprocal	ADJ
ejpam-3724	198	4	transmission	transmission	NOUN
ejpam-3724	198	5	based	base	VERB
ejpam-3724	198	6	topological	topological	PROPN
ejpam-3724	198	7	co	co	NOUN
ejpam-3724	198	8	-	-	NOUN
ejpam-3724	198	9	indices	index	NOUN
ejpam-3724	198	10	of	of	ADP
ejpam-3724	198	11	some	some	DET
ejpam-3724	198	12	graphs	graph	NOUN
ejpam-3724	198	13	for	for	ADP
ejpam-3724	198	14	any	any	DET
ejpam-3724	198	15	vertex	vertex	NOUN
ejpam-3724	198	16	u	u	NOUN
ejpam-3724	198	17	of	of	ADP
ejpam-3724	198	18	a	a	DET
ejpam-3724	198	19	complete	complete	ADJ
ejpam-3724	198	20	graph	graph	NOUN
ejpam-3724	198	21	kn	kn	PROPN
ejpam-3724	198	22	,	,	PUNCT
ejpam-3724	198	23	we	we	PRON
ejpam-3724	198	24	have	have	VERB
ejpam-3724	198	25	σ(u	σ(u	NOUN
ejpam-3724	198	26	)	)	PUNCT
ejpam-3724	198	27	=	=	SYM
ejpam-3724	198	28	n	n	CCONJ
ejpam-3724	198	29	−	−	NOUN
ejpam-3724	198	30	1	1	NUM
ejpam-3724	198	31	.	.	PUNCT
ejpam-3724	199	1	hence	hence	ADV
ejpam-3724	199	2	we	we	PRON
ejpam-3724	199	3	get	get	VERB
ejpam-3724	199	4	the	the	DET
ejpam-3724	199	5	following	follow	VERB
ejpam-3724	199	6	result	result	NOUN
ejpam-3724	199	7	:	:	PUNCT
ejpam-3724	199	8	proposition	proposition	NOUN
ejpam-3724	199	9	1	1	NUM
ejpam-3724	199	10	.	.	PUNCT
ejpam-3724	200	1	for	for	ADP
ejpam-3724	200	2	a	a	DET
ejpam-3724	200	3	complete	complete	ADJ
ejpam-3724	200	4	graph	graph	NOUN
ejpam-3724	200	5	kn	kn	PROPN
ejpam-3724	200	6	on	on	ADP
ejpam-3724	200	7	n	n	DET
ejpam-3724	200	8	vertices	vertex	NOUN
ejpam-3724	200	9	,	,	PUNCT
ejpam-3724	200	10	tsc(kn	tsc(kn	NOUN
ejpam-3724	200	11	)	)	PUNCT
ejpam-3724	200	12	=	=	SYM
ejpam-3724	200	13	0	0	NUM
ejpam-3724	200	14	,	,	PUNCT
ejpam-3724	200	15	tabc(kn	tabc(kn	NOUN
ejpam-3724	200	16	)	)	PUNCT
ejpam-3724	200	17	=	=	SYM
ejpam-3724	200	18	0	0	NUM
ejpam-3724	200	19	,	,	PUNCT
ejpam-3724	200	20	tag(kn	tag(kn	NUM
ejpam-3724	200	21	)	)	PUNCT
ejpam-3724	200	22	=	=	SYM
ejpam-3724	200	23	0	0	NUM
ejpam-3724	200	24	,	,	PUNCT
ejpam-3724	200	25	taz(kn	taz(kn	NUM
ejpam-3724	200	26	)	)	PUNCT
ejpam-3724	200	27	=	=	SYM
ejpam-3724	200	28	0	0	NUM
ejpam-3724	200	29	,	,	PUNCT
ejpam-3724	200	30	tga(kn	tga(kn	NOUN
ejpam-3724	200	31	)	)	PUNCT
ejpam-3724	200	32	=	=	SYM
ejpam-3724	200	33	0	0	NUM
ejpam-3724	200	34	,	,	PUNCT
ejpam-3724	200	35	rtsc(kn	rtsc(kn	ADJ
ejpam-3724	200	36	)	)	PUNCT
ejpam-3724	200	37	=	=	SYM
ejpam-3724	200	38	0	0	NUM
ejpam-3724	200	39	,	,	PUNCT
ejpam-3724	200	40	rtabc(kn	rtabc(kn	NOUN
ejpam-3724	200	41	)	)	PUNCT
ejpam-3724	200	42	=	=	SYM
ejpam-3724	200	43	0	0	NUM
ejpam-3724	200	44	,	,	PUNCT
ejpam-3724	200	45	rtag(kn	rtag(kn	NOUN
ejpam-3724	200	46	)	)	PUNCT
ejpam-3724	200	47	=	=	SYM
ejpam-3724	200	48	0	0	NUM
ejpam-3724	200	49	,	,	PUNCT
ejpam-3724	200	50	rtaz(kn	rtaz(kn	NOUN
ejpam-3724	200	51	)	)	PUNCT
ejpam-3724	200	52	=	=	SYM
ejpam-3724	200	53	0	0	NUM
ejpam-3724	200	54	,	,	PUNCT
ejpam-3724	200	55	rtga(kn	rtga(kn	NOUN
ejpam-3724	200	56	)	)	PUNCT
ejpam-3724	200	57	=	=	PUNCT
ejpam-3724	200	58	0	0	X
ejpam-3724	200	59	.	.	PUNCT
ejpam-3724	201	1	the	the	DET
ejpam-3724	201	2	vertex	vertex	NOUN
ejpam-3724	201	3	set	set	NOUN
ejpam-3724	201	4	of	of	ADP
ejpam-3724	201	5	a	a	DET
ejpam-3724	201	6	complete	complete	ADJ
ejpam-3724	201	7	bipartite	bipartite	NOUN
ejpam-3724	201	8	graph	graph	NOUN
ejpam-3724	201	9	kp	kp	PROPN
ejpam-3724	201	10	,	,	PUNCT
ejpam-3724	201	11	q	q	PROPN
ejpam-3724	201	12	can	can	AUX
ejpam-3724	201	13	be	be	AUX
ejpam-3724	201	14	partitioned	partition	VERB
ejpam-3724	201	15	into	into	ADP
ejpam-3724	201	16	two	two	NUM
ejpam-3724	201	17	sets	set	NOUN
ejpam-3724	201	18	v1	v1	VERB
ejpam-3724	201	19	and	and	CCONJ
ejpam-3724	201	20	v2	v2	VERB
ejpam-3724	201	21	such	such	ADJ
ejpam-3724	201	22	that	that	SCONJ
ejpam-3724	201	23	every	every	DET
ejpam-3724	201	24	edge	edge	NOUN
ejpam-3724	201	25	of	of	ADP
ejpam-3724	201	26	kp	kp	PROPN
ejpam-3724	201	27	,	,	PUNCT
ejpam-3724	201	28	q	q	PROPN
ejpam-3724	201	29	has	have	VERB
ejpam-3724	201	30	one	one	NUM
ejpam-3724	201	31	end	end	NOUN
ejpam-3724	201	32	in	in	ADP
ejpam-3724	201	33	v1	v1	NOUN
ejpam-3724	201	34	and	and	CCONJ
ejpam-3724	201	35	other	other	ADJ
ejpam-3724	201	36	end	end	NOUN
ejpam-3724	201	37	in	in	ADP
ejpam-3724	201	38	v2	v2	NOUN
ejpam-3724	201	39	,	,	PUNCT
ejpam-3724	202	1	where	where	SCONJ
ejpam-3724	202	2	|v1|	|v1|	NOUN
ejpam-3724	202	3	=	=	PROPN
ejpam-3724	202	4	p	p	NOUN
ejpam-3724	202	5	and	and	CCONJ
ejpam-3724	202	6	|v2|	|v2|	ADV
ejpam-3724	202	7	=	=	PUNCT
ejpam-3724	202	8	q.	q.	NOUN
ejpam-3724	202	9	if	if	SCONJ
ejpam-3724	202	10	the	the	DET
ejpam-3724	202	11	vertex	vertex	NOUN
ejpam-3724	202	12	u	u	PROPN
ejpam-3724	202	13	∈	∈	PROPN
ejpam-3724	202	14	v1	v1	NOUN
ejpam-3724	202	15	and	and	CCONJ
ejpam-3724	202	16	v	v	ADP
ejpam-3724	202	17	∈	∈	PROPN
ejpam-3724	202	18	v2	v2	NOUN
ejpam-3724	202	19	,	,	PUNCT
ejpam-3724	202	20	then	then	ADV
ejpam-3724	202	21	d(u	d(u	PROPN
ejpam-3724	202	22	)	)	PUNCT
ejpam-3724	203	1	=	=	SYM
ejpam-3724	203	2	p	p	NOUN
ejpam-3724	203	3	and	and	CCONJ
ejpam-3724	203	4	d(v	d(v	ADJ
ejpam-3724	203	5	)	)	PUNCT
ejpam-3724	203	6	=	=	PUNCT
ejpam-3724	204	1	q.	q.	NOUN
ejpam-3724	204	2	recall	recall	VERB
ejpam-3724	204	3	that	that	SCONJ
ejpam-3724	204	4	the	the	DET
ejpam-3724	204	5	graph	graph	NOUN
ejpam-3724	204	6	kp	kp	PROPN
ejpam-3724	204	7	,	,	PUNCT
ejpam-3724	204	8	q	q	PROPN
ejpam-3724	204	9	has	have	VERB
ejpam-3724	204	10	n	n	PROPN
ejpam-3724	204	11	=	=	X
ejpam-3724	204	12	p+	p+	PROPN
ejpam-3724	204	13	q	q	NOUN
ejpam-3724	204	14	vertices	vertex	NOUN
ejpam-3724	204	15	and	and	CCONJ
ejpam-3724	204	16	m	m	NOUN
ejpam-3724	204	17	=	=	ADJ
ejpam-3724	204	18	pq	pq	NOUN
ejpam-3724	204	19	edges	edge	NOUN
ejpam-3724	204	20	.	.	PUNCT
ejpam-3724	205	1	also	also	ADV
ejpam-3724	205	2	diam(kp	diam(kp	VERB
ejpam-3724	205	3	,	,	PUNCT
ejpam-3724	205	4	q	q	NOUN
ejpam-3724	205	5	)	)	PUNCT
ejpam-3724	205	6	≤	≤	NUM
ejpam-3724	206	1	2	2	NUM
ejpam-3724	206	2	.	.	PUNCT
ejpam-3724	206	3	therefore	therefore	ADV
ejpam-3724	206	4	by	by	ADP
ejpam-3724	206	5	the	the	DET
ejpam-3724	206	6	equality	equality	NOUN
ejpam-3724	206	7	part	part	NOUN
ejpam-3724	206	8	of	of	ADP
ejpam-3724	206	9	theorems	theorem	NOUN
ejpam-3724	206	10	1	1	NUM
ejpam-3724	206	11	,	,	PUNCT
ejpam-3724	206	12	2	2	NUM
ejpam-3724	206	13	,	,	PUNCT
ejpam-3724	206	14	3	3	NUM
ejpam-3724	206	15	and	and	CCONJ
ejpam-3724	206	16	4	4	NUM
ejpam-3724	206	17	,	,	PUNCT
ejpam-3724	206	18	we	we	PRON
ejpam-3724	206	19	get	get	VERB
ejpam-3724	206	20	the	the	DET
ejpam-3724	206	21	following	follow	VERB
ejpam-3724	206	22	result	result	NOUN
ejpam-3724	206	23	:	:	PUNCT
ejpam-3724	206	24	proposition	proposition	NOUN
ejpam-3724	206	25	2	2	NUM
ejpam-3724	206	26	.	.	X
ejpam-3724	207	1	for	for	ADP
ejpam-3724	207	2	a	a	DET
ejpam-3724	207	3	complete	complete	ADJ
ejpam-3724	207	4	bipartite	bipartite	NOUN
ejpam-3724	207	5	graph	graph	NOUN
ejpam-3724	207	6	kp	kp	PROPN
ejpam-3724	207	7	,	,	PUNCT
ejpam-3724	207	8	q	q	INTJ
ejpam-3724	207	9	,	,	PUNCT
ejpam-3724	207	10	we	we	PRON
ejpam-3724	207	11	have	have	VERB
ejpam-3724	207	12	tsc(kp	tsc(kp	NOUN
ejpam-3724	207	13	,	,	PUNCT
ejpam-3724	207	14	q	q	NOUN
ejpam-3724	207	15	)	)	PUNCT
ejpam-3724	207	16	=	=	SYM
ejpam-3724	207	17	(	(	PUNCT
ejpam-3724	207	18	(	(	PUNCT
ejpam-3724	207	19	p+	p+	NOUN
ejpam-3724	207	20	q	q	NOUN
ejpam-3724	207	21	2	2	NUM
ejpam-3724	207	22	)	)	PUNCT
ejpam-3724	207	23	−	−	PROPN
ejpam-3724	207	24	pq	pq	INTJ
ejpam-3724	207	25	)	)	PUNCT
ejpam-3724	207	26	1√	1√	PROPN
ejpam-3724	208	1	3(p+	3(p+	PROPN
ejpam-3724	209	1	q)−	q)−	PROPN
ejpam-3724	209	2	4	4	NUM
ejpam-3724	209	3	,	,	PUNCT
ejpam-3724	209	4	tabc(kp	tabc(kp	NOUN
ejpam-3724	209	5	,	,	PUNCT
ejpam-3724	209	6	q	q	NOUN
ejpam-3724	209	7	)	)	PUNCT
ejpam-3724	209	8	=	=	SYM
ejpam-3724	209	9	(	(	PUNCT
ejpam-3724	209	10	(	(	PUNCT
ejpam-3724	209	11	p+	p+	NOUN
ejpam-3724	209	12	q	q	NOUN
ejpam-3724	209	13	2	2	NUM
ejpam-3724	209	14	)	)	PUNCT
ejpam-3724	209	15	−	−	PROPN
ejpam-3724	209	16	pq	pq	INTJ
ejpam-3724	209	17	)	)	PUNCT
ejpam-3724	209	18	√	√	PROPN
ejpam-3724	209	19	3(p+	3(p+	PROPN
ejpam-3724	210	1	q)−	q)−	PROPN
ejpam-3724	210	2	6	6	NUM
ejpam-3724	210	3	(	(	PUNCT
ejpam-3724	210	4	p+	p+	NOUN
ejpam-3724	210	5	2(q	2(q	NUM
ejpam-3724	210	6	−	−	NUM
ejpam-3724	210	7	1))(q	1))(q	PROPN
ejpam-3724	211	1	+	+	CCONJ
ejpam-3724	212	1	2(p−	2(p−	NUM
ejpam-3724	212	2	1	1	NUM
ejpam-3724	212	3	)	)	PUNCT
ejpam-3724	212	4	)	)	PUNCT
ejpam-3724	212	5	,	,	PUNCT
ejpam-3724	212	6	tag(kp	tag(kp	NOUN
ejpam-3724	212	7	,	,	PUNCT
ejpam-3724	212	8	q	q	NOUN
ejpam-3724	212	9	)	)	PUNCT
ejpam-3724	212	10	=	=	SYM
ejpam-3724	212	11	(	(	PUNCT
ejpam-3724	212	12	(	(	PUNCT
ejpam-3724	212	13	p+	p+	NOUN
ejpam-3724	212	14	q	q	NOUN
ejpam-3724	212	15	2	2	NUM
ejpam-3724	212	16	)	)	PUNCT
ejpam-3724	212	17	−	−	PROPN
ejpam-3724	212	18	pq	pq	NOUN
ejpam-3724	212	19	)	)	PUNCT
ejpam-3724	212	20	(	(	PUNCT
ejpam-3724	212	21	3(p+	3(p+	PROPN
ejpam-3724	213	1	q)−	q)−	PROPN
ejpam-3724	213	2	4	4	NUM
ejpam-3724	213	3	2	2	NUM
ejpam-3724	213	4	√	√	NUM
ejpam-3724	213	5	(	(	PUNCT
ejpam-3724	213	6	p+	p+	NOUN
ejpam-3724	213	7	2(q	2(q	NUM
ejpam-3724	213	8	−	−	NUM
ejpam-3724	213	9	1))(q	1))(q	PROPN
ejpam-3724	214	1	+	+	CCONJ
ejpam-3724	215	1	2(p−	2(p−	NUM
ejpam-3724	215	2	1	1	NUM
ejpam-3724	215	3	)	)	PUNCT
ejpam-3724	215	4	)	)	PUNCT
ejpam-3724	215	5	)	)	PUNCT
ejpam-3724	215	6	,	,	PUNCT
ejpam-3724	215	7	tga(kp	tga(kp	NOUN
ejpam-3724	215	8	,	,	PUNCT
ejpam-3724	215	9	q	q	NOUN
ejpam-3724	215	10	)	)	PUNCT
ejpam-3724	215	11	=	=	SYM
ejpam-3724	215	12	(	(	PUNCT
ejpam-3724	215	13	(	(	PUNCT
ejpam-3724	215	14	p+	p+	NOUN
ejpam-3724	215	15	q	q	NOUN
ejpam-3724	215	16	2	2	NUM
ejpam-3724	215	17	)	)	PUNCT
ejpam-3724	215	18	−	−	PROPN
ejpam-3724	215	19	pq	pq	NOUN
ejpam-3724	215	20	)	)	PUNCT
ejpam-3724	215	21	(	(	PUNCT
ejpam-3724	215	22	2	2	NUM
ejpam-3724	215	23	√	√	NUM
ejpam-3724	215	24	(	(	PUNCT
ejpam-3724	215	25	p+	p+	NOUN
ejpam-3724	215	26	2(q	2(q	NUM
ejpam-3724	215	27	−	−	NUM
ejpam-3724	215	28	1))(q	1))(q	PROPN
ejpam-3724	216	1	+	+	CCONJ
ejpam-3724	216	2	2(p−	2(p−	NUM
ejpam-3724	216	3	1	1	NUM
ejpam-3724	216	4	)	)	PUNCT
ejpam-3724	216	5	)	)	PUNCT
ejpam-3724	217	1	3(p+	3(p+	PROPN
ejpam-3724	218	1	q)−	q)−	PROPN
ejpam-3724	218	2	4	4	NUM
ejpam-3724	218	3	)	)	PUNCT
ejpam-3724	218	4	,	,	PUNCT
ejpam-3724	218	5	taz(kp	taz(kp	NOUN
ejpam-3724	218	6	,	,	PUNCT
ejpam-3724	218	7	q	q	NOUN
ejpam-3724	218	8	)	)	PUNCT
ejpam-3724	218	9	=	=	SYM
ejpam-3724	218	10	(	(	PUNCT
ejpam-3724	218	11	(	(	PUNCT
ejpam-3724	218	12	p+	p+	NOUN
ejpam-3724	218	13	q	q	NOUN
ejpam-3724	218	14	2	2	NUM
ejpam-3724	218	15	)	)	PUNCT
ejpam-3724	218	16	−	−	PROPN
ejpam-3724	218	17	pq	pq	NOUN
ejpam-3724	218	18	)	)	PUNCT
ejpam-3724	218	19	(	(	PUNCT
ejpam-3724	218	20	(	(	PUNCT
ejpam-3724	218	21	p+	p+	VERB
ejpam-3724	218	22	2(q	2(q	NUM
ejpam-3724	218	23	−	−	NUM
ejpam-3724	218	24	1))(q	1))(q	PROPN
ejpam-3724	219	1	+	+	CCONJ
ejpam-3724	219	2	2(p−	2(p−	NUM
ejpam-3724	219	3	1	1	NUM
ejpam-3724	219	4	)	)	PUNCT
ejpam-3724	219	5	)	)	PUNCT
ejpam-3724	220	1	3(p+	3(p+	PROPN
ejpam-3724	221	1	q)−	q)−	PROPN
ejpam-3724	221	2	6	6	NUM
ejpam-3724	221	3	)	)	SYM
ejpam-3724	221	4	3	3	NUM
ejpam-3724	221	5	,	,	PUNCT
ejpam-3724	221	6	rtsc(kp	rtsc(kp	NOUN
ejpam-3724	221	7	,	,	PUNCT
ejpam-3724	221	8	q	q	NOUN
ejpam-3724	221	9	)	)	PUNCT
ejpam-3724	221	10	=	=	SYM
ejpam-3724	221	11	(	(	PUNCT
ejpam-3724	221	12	(	(	PUNCT
ejpam-3724	221	13	p+	p+	NOUN
ejpam-3724	221	14	q	q	NOUN
ejpam-3724	221	15	2	2	NUM
ejpam-3724	221	16	)	)	PUNCT
ejpam-3724	221	17	−	−	PROPN
ejpam-3724	221	18	pq	pq	INTJ
ejpam-3724	221	19	)	)	PUNCT
ejpam-3724	221	20			PROPN
ejpam-3724	221	21	1√	1√	PROPN
ejpam-3724	221	22	3	3	NUM
ejpam-3724	221	23	2(p+	2(p+	NUM
ejpam-3724	221	24	q)−	q)−	PROPN
ejpam-3724	221	25	1	1	NUM
ejpam-3724	221	26			PROPN
ejpam-3724	221	27	,	,	PUNCT
ejpam-3724	221	28	h.	h.	PROPN
ejpam-3724	221	29	s.	s.	PROPN
ejpam-3724	221	30	ramane	ramane	PROPN
ejpam-3724	221	31	,	,	PUNCT
ejpam-3724	221	32	s.	s.	PROPN
ejpam-3724	221	33	y.	y.	PROPN
ejpam-3724	221	34	talwar	talwar	PROPN
ejpam-3724	221	35	,	,	PUNCT
ejpam-3724	221	36	i.	i.	PROPN
ejpam-3724	221	37	n.	n.	PROPN
ejpam-3724	221	38	cangul	cangul	PROPN
ejpam-3724	221	39	/	/	SYM
ejpam-3724	221	40	eur	eur	NOUN
ejpam-3724	221	41	.	.	PUNCT
ejpam-3724	222	1	j.	j.	PROPN
ejpam-3724	222	2	pure	pure	PROPN
ejpam-3724	222	3	appl	appl	PROPN
ejpam-3724	222	4	.	.	PROPN
ejpam-3724	222	5	math	math	PROPN
ejpam-3724	222	6	,	,	PUNCT
ejpam-3724	222	7	13	13	NUM
ejpam-3724	222	8	(	(	PUNCT
ejpam-3724	222	9	5	5	NUM
ejpam-3724	222	10	)	)	PUNCT
ejpam-3724	222	11	(	(	PUNCT
ejpam-3724	222	12	2020	2020	NUM
ejpam-3724	222	13	)	)	PUNCT
ejpam-3724	222	14	,	,	PUNCT
ejpam-3724	222	15	1057	1057	NUM
ejpam-3724	222	16	-	-	SYM
ejpam-3724	222	17	1071	1071	NUM
ejpam-3724	222	18	1066	1066	NUM
ejpam-3724	222	19	rtabc(kp	rtabc(kp	NOUN
ejpam-3724	222	20	,	,	PUNCT
ejpam-3724	222	21	q	q	NOUN
ejpam-3724	222	22	)	)	PUNCT
ejpam-3724	222	23	=	=	SYM
ejpam-3724	222	24	(	(	PUNCT
ejpam-3724	222	25	(	(	PUNCT
ejpam-3724	222	26	p+	p+	NOUN
ejpam-3724	222	27	q	q	NOUN
ejpam-3724	222	28	2	2	NUM
ejpam-3724	222	29	)	)	PUNCT
ejpam-3724	222	30	−	−	PROPN
ejpam-3724	222	31	pq	pq	INTJ
ejpam-3724	222	32	)	)	PUNCT
ejpam-3724	222	33	√	√	PROPN
ejpam-3724	223	1	3	3	NUM
ejpam-3724	223	2	2(p+	2(p+	PROPN
ejpam-3724	223	3	q)−	q)−	NUM
ejpam-3724	223	4	3	3	NUM
ejpam-3724	223	5	(	(	PUNCT
ejpam-3724	223	6	p+	p+	NOUN
ejpam-3724	223	7	2(q	2(q	NUM
ejpam-3724	223	8	−	−	NUM
ejpam-3724	224	1	1))(q	1))(q	PROPN
ejpam-3724	225	1	+	+	CCONJ
ejpam-3724	226	1	2(p−	2(p−	NUM
ejpam-3724	226	2	1	1	NUM
ejpam-3724	226	3	)	)	PUNCT
ejpam-3724	226	4	)	)	PUNCT
ejpam-3724	226	5	,	,	PUNCT
ejpam-3724	226	6	tag(kp	tag(kp	NOUN
ejpam-3724	226	7	,	,	PUNCT
ejpam-3724	226	8	q	q	NOUN
ejpam-3724	226	9	)	)	PUNCT
ejpam-3724	226	10	=	=	SYM
ejpam-3724	226	11	(	(	PUNCT
ejpam-3724	226	12	(	(	PUNCT
ejpam-3724	226	13	p+	p+	NOUN
ejpam-3724	226	14	q	q	NOUN
ejpam-3724	226	15	2	2	NUM
ejpam-3724	226	16	)	)	PUNCT
ejpam-3724	226	17	−	−	PROPN
ejpam-3724	226	18	pq	pq	NOUN
ejpam-3724	226	19	)	)	PUNCT
ejpam-3724	226	20	(	(	PUNCT
ejpam-3724	226	21	3	3	NUM
ejpam-3724	226	22	2(p+	2(p+	NUM
ejpam-3724	226	23	q)−	q)−	PROPN
ejpam-3724	226	24	1	1	NUM
ejpam-3724	226	25	2	2	NUM
ejpam-3724	226	26	√	√	NUM
ejpam-3724	226	27	(	(	PUNCT
ejpam-3724	226	28	p+	p+	NOUN
ejpam-3724	226	29	2(q	2(q	NUM
ejpam-3724	226	30	−	−	NUM
ejpam-3724	226	31	1))(q	1))(q	PROPN
ejpam-3724	227	1	+	+	CCONJ
ejpam-3724	228	1	2(p−	2(p−	NUM
ejpam-3724	228	2	1	1	NUM
ejpam-3724	228	3	)	)	PUNCT
ejpam-3724	228	4	)	)	PUNCT
ejpam-3724	228	5	)	)	PUNCT
ejpam-3724	228	6	,	,	PUNCT
ejpam-3724	228	7	rtga(kp	rtga(kp	NOUN
ejpam-3724	228	8	,	,	PUNCT
ejpam-3724	228	9	q	q	NOUN
ejpam-3724	228	10	)	)	PUNCT
ejpam-3724	228	11	=	=	SYM
ejpam-3724	228	12	(	(	PUNCT
ejpam-3724	228	13	(	(	PUNCT
ejpam-3724	228	14	p+	p+	NOUN
ejpam-3724	228	15	q	q	NOUN
ejpam-3724	228	16	2	2	NUM
ejpam-3724	228	17	)	)	PUNCT
ejpam-3724	228	18	−	−	PROPN
ejpam-3724	228	19	pq	pq	NOUN
ejpam-3724	228	20	)	)	PUNCT
ejpam-3724	228	21	(	(	PUNCT
ejpam-3724	228	22	2	2	NUM
ejpam-3724	228	23	√	√	NUM
ejpam-3724	228	24	(	(	PUNCT
ejpam-3724	228	25	p+	p+	NOUN
ejpam-3724	228	26	2(q	2(q	NUM
ejpam-3724	228	27	−	−	NUM
ejpam-3724	228	28	1))(q	1))(q	PROPN
ejpam-3724	229	1	+	+	CCONJ
ejpam-3724	229	2	2(p−	2(p−	NUM
ejpam-3724	229	3	1	1	NUM
ejpam-3724	229	4	)	)	PUNCT
ejpam-3724	229	5	)	)	PUNCT
ejpam-3724	229	6	3	3	NUM
ejpam-3724	229	7	2(p+	2(p+	NUM
ejpam-3724	229	8	q)−	q)−	PROPN
ejpam-3724	229	9	1	1	NUM
ejpam-3724	229	10	)	)	PUNCT
ejpam-3724	229	11	,	,	PUNCT
ejpam-3724	229	12	rtaz(kp	rtaz(kp	NOUN
ejpam-3724	229	13	,	,	PUNCT
ejpam-3724	229	14	q	q	NOUN
ejpam-3724	229	15	)	)	PUNCT
ejpam-3724	229	16	=	=	SYM
ejpam-3724	229	17	(	(	PUNCT
ejpam-3724	229	18	(	(	PUNCT
ejpam-3724	229	19	p+	p+	NOUN
ejpam-3724	229	20	q	q	NOUN
ejpam-3724	229	21	2	2	NUM
ejpam-3724	229	22	)	)	PUNCT
ejpam-3724	229	23	−	−	PROPN
ejpam-3724	229	24	pq	pq	NOUN
ejpam-3724	229	25	)	)	PUNCT
ejpam-3724	229	26	(	(	PUNCT
ejpam-3724	229	27	(	(	PUNCT
ejpam-3724	229	28	p+	p+	VERB
ejpam-3724	229	29	2(q	2(q	NUM
ejpam-3724	229	30	−	−	NUM
ejpam-3724	229	31	1))(q	1))(q	PROPN
ejpam-3724	230	1	+	+	CCONJ
ejpam-3724	230	2	2(p−	2(p−	NUM
ejpam-3724	230	3	1	1	NUM
ejpam-3724	230	4	)	)	PUNCT
ejpam-3724	230	5	)	)	PUNCT
ejpam-3724	231	1	3	3	NUM
ejpam-3724	231	2	2(p+	2(p+	NUM
ejpam-3724	231	3	q)−	q)−	PROPN
ejpam-3724	231	4	3	3	NUM
ejpam-3724	231	5	)	)	PUNCT
ejpam-3724	231	6	3	3	NUM
ejpam-3724	231	7	.	.	PUNCT
ejpam-3724	232	1	for	for	ADP
ejpam-3724	232	2	any	any	DET
ejpam-3724	232	3	vertex	vertex	NOUN
ejpam-3724	232	4	u	u	NOUN
ejpam-3724	232	5	of	of	ADP
ejpam-3724	232	6	a	a	DET
ejpam-3724	232	7	cycle	cycle	NOUN
ejpam-3724	232	8	cn	cn	NOUN
ejpam-3724	232	9	on	on	ADP
ejpam-3724	232	10	n	n	NUM
ejpam-3724	232	11	≥	≥	NUM
ejpam-3724	232	12	3	3	NUM
ejpam-3724	232	13	vertices	vertex	NOUN
ejpam-3724	232	14	,	,	PUNCT
ejpam-3724	232	15	we	we	PRON
ejpam-3724	232	16	have	have	VERB
ejpam-3724	232	17	σ(u	σ(u	NOUN
ejpam-3724	232	18	)	)	PUNCT
ejpam-3724	232	19	=	=	PUNCT
ejpam-3724	232	20			PUNCT
ejpam-3724	232	21	2	2	NUM
ejpam-3724	232	22	[	[	PUNCT
ejpam-3724	232	23	1	1	NUM
ejpam-3724	232	24	+	+	NUM
ejpam-3724	232	25	2	2	NUM
ejpam-3724	232	26	+	+	CCONJ
ejpam-3724	232	27	·	·	PUNCT
ejpam-3724	232	28	·	·	PUNCT
ejpam-3724	232	29	·	·	PUNCT
ejpam-3724	233	1	+	+	NUM
ejpam-3724	233	2	n−1	n−1	PROPN
ejpam-3724	233	3	2	2	NUM
ejpam-3724	233	4	]	]	PUNCT
ejpam-3724	233	5	+	+	CCONJ
ejpam-3724	233	6	n	n	PRON
ejpam-3724	233	7	2	2	NUM
ejpam-3724	233	8	=	=	SYM
ejpam-3724	233	9	n2	n2	NOUN
ejpam-3724	233	10	4	4	NUM
ejpam-3724	233	11	,	,	PUNCT
ejpam-3724	233	12	if	if	SCONJ
ejpam-3724	233	13	n	n	PRON
ejpam-3724	233	14	is	be	AUX
ejpam-3724	233	15	even	even	ADV
ejpam-3724	233	16	2	2	NUM
ejpam-3724	233	17	[	[	SYM
ejpam-3724	233	18	1	1	NUM
ejpam-3724	233	19	+	+	NUM
ejpam-3724	233	20	2	2	NUM
ejpam-3724	233	21	+	+	CCONJ
ejpam-3724	233	22	·	·	PUNCT
ejpam-3724	233	23	·	·	PUNCT
ejpam-3724	233	24	·	·	PUNCT
ejpam-3724	234	1	+	+	NUM
ejpam-3724	234	2	n−1	n−1	PROPN
ejpam-3724	234	3	2	2	NUM
ejpam-3724	234	4	]	]	PUNCT
ejpam-3724	234	5	=	=	SYM
ejpam-3724	234	6	n2−1	n2−1	ADP
ejpam-3724	234	7	4	4	NUM
ejpam-3724	234	8	,	,	PUNCT
ejpam-3724	234	9	if	if	SCONJ
ejpam-3724	234	10	n	n	PRON
ejpam-3724	234	11	is	be	AUX
ejpam-3724	234	12	odd	odd	ADJ
ejpam-3724	234	13	and	and	CCONJ
ejpam-3724	234	14	rs(u	rs(u	ADJ
ejpam-3724	234	15	)	)	PUNCT
ejpam-3724	235	1	=	=	SYM
ejpam-3724	235	2			PROPN
ejpam-3724	235	3	2	2	NUM
ejpam-3724	235	4	∑n−2	∑n−2	NOUN
ejpam-3724	235	5	2	2	NUM
ejpam-3724	235	6	i=1	i=1	SYM
ejpam-3724	235	7	1	1	NUM
ejpam-3724	235	8	i	i	NOUN
ejpam-3724	235	9	+	+	CCONJ
ejpam-3724	235	10	2	2	NUM
ejpam-3724	235	11	n	n	NOUN
ejpam-3724	235	12	,	,	PUNCT
ejpam-3724	235	13	if	if	SCONJ
ejpam-3724	235	14	n	n	PRON
ejpam-3724	235	15	is	be	AUX
ejpam-3724	235	16	even	even	ADV
ejpam-3724	235	17	2	2	NUM
ejpam-3724	235	18	∑n−1	∑n−1	ADP
ejpam-3724	235	19	2	2	NUM
ejpam-3724	235	20	i=1	i=1	SYM
ejpam-3724	235	21	1	1	NUM
ejpam-3724	236	1	i	i	PRON
ejpam-3724	236	2	,	,	PUNCT
ejpam-3724	236	3	if	if	SCONJ
ejpam-3724	236	4	n	n	PRON
ejpam-3724	236	5	is	be	AUX
ejpam-3724	236	6	odd	odd	ADJ
ejpam-3724	236	7	.	.	PUNCT
ejpam-3724	237	1	proposition	proposition	NOUN
ejpam-3724	237	2	3	3	NUM
ejpam-3724	237	3	.	.	X
ejpam-3724	238	1	for	for	ADP
ejpam-3724	238	2	a	a	DET
ejpam-3724	238	3	cycle	cycle	NOUN
ejpam-3724	238	4	cn	cn	NOUN
ejpam-3724	238	5	on	on	ADP
ejpam-3724	238	6	n	n	NUM
ejpam-3724	238	7	≥	≥	NUM
ejpam-3724	238	8	3	3	NUM
ejpam-3724	238	9	vertices	vertex	NOUN
ejpam-3724	238	10	,	,	PUNCT
ejpam-3724	238	11	we	we	PRON
ejpam-3724	238	12	have	have	VERB
ejpam-3724	238	13	tsc(cn	tsc(cn	NOUN
ejpam-3724	238	14	)	)	PUNCT
ejpam-3724	238	15	=	=	PUNCT
ejpam-3724	239	1			PUNCT
ejpam-3724	239	2	(	(	PUNCT
ejpam-3724	239	3	(	(	PUNCT
ejpam-3724	239	4	n	n	NOUN
ejpam-3724	239	5	2	2	NUM
ejpam-3724	239	6	)	)	PUNCT
ejpam-3724	239	7	−	−	PROPN
ejpam-3724	240	1	n	n	CCONJ
ejpam-3724	240	2	)	)	PUNCT
ejpam-3724	240	3	√	√	PROPN
ejpam-3724	240	4	2	2	NUM
ejpam-3724	240	5	n2	n2	NOUN
ejpam-3724	240	6	,	,	PUNCT
ejpam-3724	240	7	if	if	SCONJ
ejpam-3724	240	8	n	n	PRON
ejpam-3724	240	9	is	be	AUX
ejpam-3724	240	10	even	even	ADV
ejpam-3724	240	11	(	(	PUNCT
ejpam-3724	240	12	(	(	PUNCT
ejpam-3724	240	13	n	n	ADV
ejpam-3724	240	14	2	2	NUM
ejpam-3724	240	15	)	)	PUNCT
ejpam-3724	240	16	−	−	PROPN
ejpam-3724	240	17	n	n	CCONJ
ejpam-3724	240	18	)	)	PUNCT
ejpam-3724	240	19	√	√	PROPN
ejpam-3724	240	20	2	2	NUM
ejpam-3724	240	21	n2−1	n2−1	NOUN
ejpam-3724	240	22	,	,	PUNCT
ejpam-3724	240	23	if	if	SCONJ
ejpam-3724	240	24	n	n	PRON
ejpam-3724	240	25	is	be	AUX
ejpam-3724	240	26	odd	odd	ADJ
ejpam-3724	240	27	tabc(cn	tabc(cn	NOUN
ejpam-3724	240	28	)	)	PUNCT
ejpam-3724	240	29	=	=	PUNCT
ejpam-3724	240	30			PUNCT
ejpam-3724	240	31	(	(	PUNCT
ejpam-3724	240	32	(	(	PUNCT
ejpam-3724	240	33	n	n	NOUN
ejpam-3724	240	34	2	2	NUM
ejpam-3724	240	35	)	)	PUNCT
ejpam-3724	240	36	−	−	PROPN
ejpam-3724	240	37	n	n	CCONJ
ejpam-3724	240	38	)	)	PUNCT
ejpam-3724	240	39	√8(n2−4	√8(n2−4	PROPN
ejpam-3724	240	40	)	)	PUNCT
ejpam-3724	240	41	n4	n4	PROPN
ejpam-3724	240	42	,	,	PUNCT
ejpam-3724	240	43	if	if	SCONJ
ejpam-3724	240	44	n	n	PRON
ejpam-3724	240	45	is	be	AUX
ejpam-3724	240	46	even	even	ADV
ejpam-3724	240	47	(	(	PUNCT
ejpam-3724	240	48	(	(	PUNCT
ejpam-3724	240	49	n	n	ADV
ejpam-3724	240	50	2	2	NUM
ejpam-3724	240	51	)	)	PUNCT
ejpam-3724	240	52	−	−	PROPN
ejpam-3724	240	53	n	n	CCONJ
ejpam-3724	240	54	)	)	PUNCT
ejpam-3724	240	55	√8(n2−5	√8(n2−5	NOUN
ejpam-3724	240	56	)	)	PUNCT
ejpam-3724	240	57	(	(	PUNCT
ejpam-3724	240	58	n2−1)2	n2−1)2	INTJ
ejpam-3724	240	59	,	,	PUNCT
ejpam-3724	240	60	if	if	SCONJ
ejpam-3724	240	61	n	n	PRON
ejpam-3724	240	62	is	be	AUX
ejpam-3724	240	63	odd	odd	ADJ
ejpam-3724	240	64	taz(cn	taz(cn	NOUN
ejpam-3724	240	65	)	)	PUNCT
ejpam-3724	240	66	=	=	PUNCT
ejpam-3724	240	67			PUNCT
ejpam-3724	240	68	(	(	PUNCT
ejpam-3724	240	69	(	(	PUNCT
ejpam-3724	240	70	n	n	NOUN
ejpam-3724	240	71	2	2	NUM
ejpam-3724	240	72	)	)	PUNCT
ejpam-3724	240	73	−	−	PROPN
ejpam-3724	240	74	n	n	CCONJ
ejpam-3724	240	75	)	)	PUNCT
ejpam-3724	240	76	(	(	PUNCT
ejpam-3724	240	77	n4	n4	PROPN
ejpam-3724	240	78	8(n2−4	8(n2−4	NUM
ejpam-3724	240	79	)	)	PUNCT
ejpam-3724	240	80	)	)	PUNCT
ejpam-3724	240	81	3	3	NUM
ejpam-3724	240	82	,	,	PUNCT
ejpam-3724	240	83	if	if	SCONJ
ejpam-3724	240	84	n	n	PRON
ejpam-3724	240	85	is	be	AUX
ejpam-3724	240	86	even	even	ADV
ejpam-3724	240	87	(	(	PUNCT
ejpam-3724	240	88	(	(	PUNCT
ejpam-3724	240	89	n	n	ADV
ejpam-3724	240	90	2	2	NUM
ejpam-3724	240	91	)	)	PUNCT
ejpam-3724	240	92	−	−	PROPN
ejpam-3724	240	93	n	n	CCONJ
ejpam-3724	240	94	)	)	PUNCT
ejpam-3724	240	95	(	(	PUNCT
ejpam-3724	240	96	(	(	PUNCT
ejpam-3724	240	97	n2−1)2	n2−1)2	PROPN
ejpam-3724	240	98	8(n2−5	8(n2−5	NUM
ejpam-3724	240	99	)	)	PUNCT
ejpam-3724	240	100	)	)	PUNCT
ejpam-3724	240	101	3	3	NUM
ejpam-3724	240	102	,	,	PUNCT
ejpam-3724	240	103	if	if	SCONJ
ejpam-3724	240	104	n	n	PRON
ejpam-3724	240	105	is	be	AUX
ejpam-3724	240	106	odd	odd	ADJ
ejpam-3724	240	107	tag(cn	tag(cn	NOUN
ejpam-3724	240	108	)	)	PUNCT
ejpam-3724	240	109	=	=	SYM
ejpam-3724	241	1	(	(	PUNCT
ejpam-3724	241	2	(	(	PUNCT
ejpam-3724	241	3	n	n	ADV
ejpam-3724	241	4	2	2	NUM
ejpam-3724	241	5	)	)	PUNCT
ejpam-3724	241	6	−	−	PROPN
ejpam-3724	241	7	n	n	CCONJ
ejpam-3724	241	8	)	)	PUNCT
ejpam-3724	241	9	for	for	ADP
ejpam-3724	241	10	any	any	DET
ejpam-3724	241	11	value	value	NOUN
ejpam-3724	241	12	of	of	ADP
ejpam-3724	241	13	n.	n.	PROPN
ejpam-3724	241	14	tga(cn	tga(cn	PROPN
ejpam-3724	241	15	)	)	PUNCT
ejpam-3724	242	1	=	=	PUNCT
ejpam-3724	242	2	(	(	PUNCT
ejpam-3724	242	3	(	(	PUNCT
ejpam-3724	242	4	n	n	ADV
ejpam-3724	242	5	2	2	NUM
ejpam-3724	242	6	)	)	PUNCT
ejpam-3724	242	7	−	−	PROPN
ejpam-3724	242	8	n	n	CCONJ
ejpam-3724	242	9	)	)	PUNCT
ejpam-3724	242	10	for	for	ADP
ejpam-3724	242	11	any	any	DET
ejpam-3724	242	12	value	value	NOUN
ejpam-3724	242	13	of	of	ADP
ejpam-3724	242	14	n.	n.	PROPN
ejpam-3724	242	15	h.	h.	PROPN
ejpam-3724	242	16	s.	s.	PROPN
ejpam-3724	242	17	ramane	ramane	PROPN
ejpam-3724	242	18	,	,	PUNCT
ejpam-3724	242	19	s.	s.	PROPN
ejpam-3724	242	20	y.	y.	PROPN
ejpam-3724	242	21	talwar	talwar	PROPN
ejpam-3724	242	22	,	,	PUNCT
ejpam-3724	242	23	i.	i.	PROPN
ejpam-3724	242	24	n.	n.	PROPN
ejpam-3724	242	25	cangul	cangul	PROPN
ejpam-3724	242	26	/	/	SYM
ejpam-3724	242	27	eur	eur	NOUN
ejpam-3724	242	28	.	.	PUNCT
ejpam-3724	243	1	j.	j.	PROPN
ejpam-3724	243	2	pure	pure	PROPN
ejpam-3724	243	3	appl	appl	PROPN
ejpam-3724	243	4	.	.	PROPN
ejpam-3724	243	5	math	math	PROPN
ejpam-3724	243	6	,	,	PUNCT
ejpam-3724	243	7	13	13	NUM
ejpam-3724	243	8	(	(	PUNCT
ejpam-3724	243	9	5	5	NUM
ejpam-3724	243	10	)	)	PUNCT
ejpam-3724	243	11	(	(	PUNCT
ejpam-3724	243	12	2020	2020	NUM
ejpam-3724	243	13	)	)	PUNCT
ejpam-3724	243	14	,	,	PUNCT
ejpam-3724	243	15	1057	1057	NUM
ejpam-3724	243	16	-	-	SYM
ejpam-3724	243	17	1071	1071	NUM
ejpam-3724	243	18	1067	1067	NUM
ejpam-3724	243	19	rtsc(cn	rtsc(cn	NOUN
ejpam-3724	243	20	)	)	PUNCT
ejpam-3724	243	21	=	=	PUNCT
ejpam-3724	243	22			X
ejpam-3724	243	23	(	(	PUNCT
ejpam-3724	243	24	(	(	PUNCT
ejpam-3724	243	25	n	n	ADV
ejpam-3724	243	26	2	2	NUM
ejpam-3724	243	27	)	)	PUNCT
ejpam-3724	243	28	−	−	PROPN
ejpam-3724	244	1	n	n	CCONJ
ejpam-3724	244	2	)	)	PUNCT
ejpam-3724	244	3	1	1	NUM
ejpam-3724	244	4	2	2	NUM
ejpam-3724	244	5	√∑n−2	√∑n−2	ADP
ejpam-3724	244	6	2	2	NUM
ejpam-3724	244	7	i=1	i=1	SYM
ejpam-3724	244	8	1	1	NUM
ejpam-3724	245	1	i	i	NOUN
ejpam-3724	245	2	+	+	CCONJ
ejpam-3724	245	3	1	1	NUM
ejpam-3724	245	4	n	n	NOUN
ejpam-3724	245	5	,	,	PUNCT
ejpam-3724	245	6	if	if	SCONJ
ejpam-3724	245	7	n	n	PRON
ejpam-3724	245	8	is	be	AUX
ejpam-3724	245	9	even	even	ADV
ejpam-3724	245	10	(	(	PUNCT
ejpam-3724	245	11	(	(	PUNCT
ejpam-3724	245	12	n	n	ADV
ejpam-3724	245	13	2	2	NUM
ejpam-3724	245	14	)	)	PUNCT
ejpam-3724	245	15	−	−	PROPN
ejpam-3724	245	16	n	n	CCONJ
ejpam-3724	245	17	)	)	PUNCT
ejpam-3724	245	18	(	(	PUNCT
ejpam-3724	245	19	1	1	X
ejpam-3724	245	20	)	)	PUNCT
ejpam-3724	245	21	2	2	NUM
ejpam-3724	245	22	√∑n−1	√∑n−1	PROPN
ejpam-3724	245	23	2	2	NUM
ejpam-3724	245	24	i=1	i=1	SYM
ejpam-3724	245	25	1	1	NUM
ejpam-3724	245	26	i	i	PRON
ejpam-3724	245	27	,	,	PUNCT
ejpam-3724	245	28	if	if	SCONJ
ejpam-3724	245	29	n	n	PRON
ejpam-3724	245	30	is	be	AUX
ejpam-3724	245	31	odd	odd	ADJ
ejpam-3724	245	32	rtabc(cn	rtabc(cn	NOUN
ejpam-3724	245	33	)	)	PUNCT
ejpam-3724	245	34	=	=	VERB
ejpam-3724	246	1			INTJ
ejpam-3724	246	2	(	(	PUNCT
ejpam-3724	246	3	(	(	PUNCT
ejpam-3724	246	4	n	n	X
ejpam-3724	246	5	2	2	NUM
ejpam-3724	246	6	)	)	PUNCT
ejpam-3724	246	7	−	−	PROPN
ejpam-3724	246	8	n	n	CCONJ
ejpam-3724	246	9	)	)	PUNCT
ejpam-3724	247	1	√√√√	√√√√	PRON
ejpam-3724	247	2	∑n−2	∑n−2	NOUN
ejpam-3724	247	3	2	2	NUM
ejpam-3724	247	4	i=1	i=1	SYM
ejpam-3724	247	5	1	1	NUM
ejpam-3724	247	6	i	i	NOUN
ejpam-3724	247	7	+	+	NOUN
ejpam-3724	247	8	1	1	NUM
ejpam-3724	247	9	n	n	CCONJ
ejpam-3724	247	10	−1(∑n−2	−1(∑n−2	PROPN
ejpam-3724	247	11	2	2	NUM
ejpam-3724	247	12	i=1	i=1	SYM
ejpam-3724	247	13	1	1	NUM
ejpam-3724	248	1	i	i	NOUN
ejpam-3724	248	2	+	+	CCONJ
ejpam-3724	248	3	1	1	NUM
ejpam-3724	248	4	n	n	CCONJ
ejpam-3724	248	5	)	)	PUNCT
ejpam-3724	248	6	2	2	NUM
ejpam-3724	248	7	,	,	PUNCT
ejpam-3724	248	8	if	if	SCONJ
ejpam-3724	248	9	n	n	PRON
ejpam-3724	248	10	is	be	AUX
ejpam-3724	248	11	even	even	ADV
ejpam-3724	248	12	(	(	PUNCT
ejpam-3724	248	13	(	(	PUNCT
ejpam-3724	248	14	n	n	ADV
ejpam-3724	248	15	2	2	NUM
ejpam-3724	248	16	)	)	PUNCT
ejpam-3724	248	17	−	−	PROPN
ejpam-3724	248	18	n	n	CCONJ
ejpam-3724	248	19	)	)	PUNCT
ejpam-3724	248	20	√√√√	√√√√	PRON
ejpam-3724	248	21	2	2	NUM
ejpam-3724	248	22	∑n−1	∑n−1	ADP
ejpam-3724	248	23	2	2	NUM
ejpam-3724	248	24	i=1	i=1	SYM
ejpam-3724	248	25	1	1	NUM
ejpam-3724	248	26	i	i	NOUN
ejpam-3724	248	27	−1	−1	NOUN
ejpam-3724	248	28	2	2	NUM
ejpam-3724	248	29	(	(	PUNCT
ejpam-3724	248	30	∑n−1	∑n−1	ADP
ejpam-3724	248	31	2	2	NUM
ejpam-3724	248	32	i=1	i=1	SYM
ejpam-3724	248	33	1	1	NUM
ejpam-3724	248	34	i	i	NOUN
ejpam-3724	248	35	)	)	PUNCT
ejpam-3724	248	36	2	2	NUM
ejpam-3724	248	37	,	,	PUNCT
ejpam-3724	248	38	if	if	SCONJ
ejpam-3724	248	39	n	n	PRON
ejpam-3724	248	40	is	be	AUX
ejpam-3724	248	41	odd	odd	ADJ
ejpam-3724	248	42	rtaz(cn	rtaz(cn	NOUN
ejpam-3724	248	43	)	)	PUNCT
ejpam-3724	248	44	=	=	SYM
ejpam-3724	248	45			PROPN
ejpam-3724	248	46	(	(	PUNCT
ejpam-3724	248	47	(	(	PUNCT
ejpam-3724	248	48	n	n	ADV
ejpam-3724	248	49	2	2	NUM
ejpam-3724	248	50	)	)	PUNCT
ejpam-3724	248	51	−	−	PROPN
ejpam-3724	249	1	n	n	CCONJ
ejpam-3724	249	2	)	)	PUNCT
ejpam-3724	249	3			PROPN
ejpam-3724	249	4	(	(	PUNCT
ejpam-3724	249	5	∑n−2	∑n−2	NOUN
ejpam-3724	249	6	2	2	NUM
ejpam-3724	249	7	i=1	i=1	SYM
ejpam-3724	249	8	1	1	NUM
ejpam-3724	249	9	i	i	NOUN
ejpam-3724	249	10	+	+	CCONJ
ejpam-3724	249	11	1	1	NUM
ejpam-3724	249	12	n	n	CCONJ
ejpam-3724	249	13	)	)	PUNCT
ejpam-3724	249	14	2	2	NUM
ejpam-3724	249	15	(	(	PUNCT
ejpam-3724	249	16	∑n−2	∑n−2	NOUN
ejpam-3724	249	17	2	2	NUM
ejpam-3724	249	18	i=1	i=1	SYM
ejpam-3724	249	19	1	1	NUM
ejpam-3724	249	20	i	i	NOUN
ejpam-3724	249	21	+	+	CCONJ
ejpam-3724	249	22	1	1	NUM
ejpam-3724	249	23	n	n	NOUN
ejpam-3724	249	24	)	)	PUNCT
ejpam-3724	249	25	−1	−1	NOUN
ejpam-3724	250	1	3	3	SCONJ
ejpam-3724	250	2	,	,	PUNCT
ejpam-3724	250	3	if	if	SCONJ
ejpam-3724	250	4	n	n	PRON
ejpam-3724	250	5	is	be	AUX
ejpam-3724	250	6	even	even	ADV
ejpam-3724	250	7	(	(	PUNCT
ejpam-3724	250	8	(	(	PUNCT
ejpam-3724	250	9	n	n	ADV
ejpam-3724	250	10	2	2	NUM
ejpam-3724	250	11	)	)	PUNCT
ejpam-3724	250	12	−	−	PROPN
ejpam-3724	250	13	n	n	CCONJ
ejpam-3724	250	14	)	)	PUNCT
ejpam-3724	250	15	2	2	PROPN
ejpam-3724	251	1	(	(	PUNCT
ejpam-3724	251	2	∑n−1	∑n−1	ADP
ejpam-3724	251	3	2	2	NUM
ejpam-3724	251	4	i=1	i=1	SYM
ejpam-3724	251	5	1	1	NUM
ejpam-3724	251	6	i	i	NOUN
ejpam-3724	251	7	)	)	PUNCT
ejpam-3724	251	8	2	2	NUM
ejpam-3724	251	9	2	2	NUM
ejpam-3724	251	10	∑n−1	∑n−1	ADP
ejpam-3724	251	11	2	2	NUM
ejpam-3724	251	12	i=1	i=1	SYM
ejpam-3724	251	13	1	1	NUM
ejpam-3724	251	14	i	i	NOUN
ejpam-3724	251	15	−1	−1	VERB
ejpam-3724	251	16	3	3	ADV
ejpam-3724	251	17	,	,	PUNCT
ejpam-3724	251	18	if	if	SCONJ
ejpam-3724	251	19	n	n	PRON
ejpam-3724	251	20	is	be	AUX
ejpam-3724	251	21	odd	odd	ADJ
ejpam-3724	251	22	rtag(cn	rtag(cn	NOUN
ejpam-3724	251	23	)	)	PUNCT
ejpam-3724	251	24	=	=	PUNCT
ejpam-3724	251	25	(	(	PUNCT
ejpam-3724	251	26	(	(	PUNCT
ejpam-3724	251	27	n	n	ADV
ejpam-3724	251	28	2	2	NUM
ejpam-3724	251	29	)	)	PUNCT
ejpam-3724	251	30	−	−	PROPN
ejpam-3724	251	31	n	n	CCONJ
ejpam-3724	251	32	)	)	PUNCT
ejpam-3724	251	33	for	for	ADP
ejpam-3724	251	34	any	any	DET
ejpam-3724	251	35	value	value	NOUN
ejpam-3724	251	36	of	of	ADP
ejpam-3724	251	37	n	n	DET
ejpam-3724	251	38	rtga(cn	rtga(cn	NOUN
ejpam-3724	251	39	)	)	PUNCT
ejpam-3724	251	40	=	=	PUNCT
ejpam-3724	252	1	(	(	PUNCT
ejpam-3724	252	2	(	(	PUNCT
ejpam-3724	252	3	n	n	ADV
ejpam-3724	252	4	2	2	NUM
ejpam-3724	252	5	)	)	PUNCT
ejpam-3724	252	6	−	−	PROPN
ejpam-3724	252	7	n	n	CCONJ
ejpam-3724	252	8	)	)	PUNCT
ejpam-3724	252	9	for	for	ADP
ejpam-3724	252	10	any	any	DET
ejpam-3724	252	11	value	value	NOUN
ejpam-3724	252	12	of	of	ADP
ejpam-3724	252	13	n	n	DET
ejpam-3724	252	14	a	a	DET
ejpam-3724	252	15	wheel	wheel	NOUN
ejpam-3724	252	16	wn+1	wn+1	NOUN
ejpam-3724	252	17	is	be	AUX
ejpam-3724	252	18	a	a	DET
ejpam-3724	252	19	graph	graph	NOUN
ejpam-3724	252	20	obtained	obtain	VERB
ejpam-3724	252	21	from	from	ADP
ejpam-3724	252	22	the	the	DET
ejpam-3724	252	23	cycle	cycle	NOUN
ejpam-3724	252	24	cn	cn	PROPN
ejpam-3724	252	25	,	,	PUNCT
ejpam-3724	252	26	n	n	PRON
ejpam-3724	252	27	≥	≥	NOUN
ejpam-3724	252	28	3	3	NUM
ejpam-3724	252	29	,	,	PUNCT
ejpam-3724	252	30	by	by	ADP
ejpam-3724	252	31	adding	add	VERB
ejpam-3724	252	32	a	a	DET
ejpam-3724	252	33	new	new	ADJ
ejpam-3724	252	34	vertex	vertex	NOUN
ejpam-3724	252	35	and	and	CCONJ
ejpam-3724	252	36	making	make	VERB
ejpam-3724	252	37	it	it	PRON
ejpam-3724	252	38	adjacent	adjacent	ADJ
ejpam-3724	252	39	to	to	ADP
ejpam-3724	252	40	all	all	DET
ejpam-3724	252	41	the	the	DET
ejpam-3724	252	42	vertices	vertex	NOUN
ejpam-3724	252	43	of	of	ADP
ejpam-3724	252	44	cn	cn	PROPN
ejpam-3724	252	45	.	.	PUNCT
ejpam-3724	253	1	the	the	DET
ejpam-3724	253	2	degree	degree	NOUN
ejpam-3724	253	3	of	of	ADP
ejpam-3724	253	4	a	a	DET
ejpam-3724	253	5	central	central	ADJ
ejpam-3724	253	6	vertex	vertex	NOUN
ejpam-3724	253	7	of	of	ADP
ejpam-3724	253	8	wn+1	wn+1	NOUN
ejpam-3724	253	9	is	be	AUX
ejpam-3724	253	10	n	n	PRON
ejpam-3724	253	11	and	and	CCONJ
ejpam-3724	253	12	the	the	DET
ejpam-3724	253	13	degree	degree	NOUN
ejpam-3724	253	14	of	of	ADP
ejpam-3724	253	15	all	all	DET
ejpam-3724	253	16	other	other	ADJ
ejpam-3724	253	17	vertices	vertex	NOUN
ejpam-3724	253	18	is	be	AUX
ejpam-3724	253	19	3	3	NUM
ejpam-3724	253	20	.	.	PUNCT
ejpam-3724	253	21	hence	hence	ADV
ejpam-3724	253	22	proposition	proposition	NOUN
ejpam-3724	253	23	4	4	NUM
ejpam-3724	253	24	.	.	PUNCT
ejpam-3724	253	25	for	for	ADP
ejpam-3724	253	26	a	a	DET
ejpam-3724	253	27	wheel	wheel	NOUN
ejpam-3724	253	28	wn+1	wn+1	NOUN
ejpam-3724	253	29	,	,	PUNCT
ejpam-3724	253	30	n	n	PRON
ejpam-3724	253	31	≥	≥	NOUN
ejpam-3724	253	32	3	3	NUM
ejpam-3724	253	33	,	,	PUNCT
ejpam-3724	253	34	tsc	tsc	PROPN
ejpam-3724	253	35	(	(	PUNCT
ejpam-3724	253	36	wn+1	wn+1	NOUN
ejpam-3724	253	37	)	)	PUNCT
ejpam-3724	253	38	=	=	SYM
ejpam-3724	254	1	(	(	PUNCT
ejpam-3724	254	2	(	(	PUNCT
ejpam-3724	254	3	n+	n+	NUM
ejpam-3724	254	4	1	1	NUM
ejpam-3724	254	5	2	2	NUM
ejpam-3724	254	6	)	)	PUNCT
ejpam-3724	254	7	−	−	PROPN
ejpam-3724	254	8	2n	2n	NUM
ejpam-3724	254	9	)	)	PUNCT
ejpam-3724	254	10	1√	1√	PROPN
ejpam-3724	254	11	4n−	4n−	PROPN
ejpam-3724	254	12	6	6	NUM
ejpam-3724	254	13	,	,	PUNCT
ejpam-3724	254	14	tabc	tabc	PROPN
ejpam-3724	254	15	(	(	PUNCT
ejpam-3724	254	16	wn+1	wn+1	NOUN
ejpam-3724	254	17	)	)	PUNCT
ejpam-3724	254	18	=	=	SYM
ejpam-3724	254	19	(	(	PUNCT
ejpam-3724	254	20	(	(	PUNCT
ejpam-3724	254	21	n+	n+	NUM
ejpam-3724	254	22	1	1	NUM
ejpam-3724	254	23	2	2	NUM
ejpam-3724	254	24	)	)	PUNCT
ejpam-3724	254	25	−	−	PROPN
ejpam-3724	254	26	2n	2n	NUM
ejpam-3724	254	27	)	)	PUNCT
ejpam-3724	254	28	√	√	PROPN
ejpam-3724	255	1	4n−	4n−	NUM
ejpam-3724	255	2	8	8	NUM
ejpam-3724	255	3	4n2	4n2	NUM
ejpam-3724	255	4	−	−	NOUN
ejpam-3724	255	5	12n+	12n+	NUM
ejpam-3724	255	6	9	9	NUM
ejpam-3724	255	7	,	,	PUNCT
ejpam-3724	255	8	taz	taz	PROPN
ejpam-3724	255	9	(	(	PUNCT
ejpam-3724	255	10	wn+1	wn+1	PROPN
ejpam-3724	255	11	)	)	PUNCT
ejpam-3724	255	12	=	=	SYM
ejpam-3724	255	13	(	(	PUNCT
ejpam-3724	255	14	(	(	PUNCT
ejpam-3724	255	15	n+	n+	NUM
ejpam-3724	255	16	1	1	NUM
ejpam-3724	255	17	2	2	NUM
ejpam-3724	255	18	)	)	PUNCT
ejpam-3724	255	19	−	−	PROPN
ejpam-3724	255	20	2n	2n	NUM
ejpam-3724	255	21	)	)	PUNCT
ejpam-3724	255	22	(	(	PUNCT
ejpam-3724	255	23	4n2	4n2	NUM
ejpam-3724	255	24	−	−	NOUN
ejpam-3724	256	1	12n+	12n+	NUM
ejpam-3724	256	2	9	9	NUM
ejpam-3724	256	3	4n−	4n−	NUM
ejpam-3724	256	4	8	8	NUM
ejpam-3724	256	5	)	)	SYM
ejpam-3724	256	6	3	3	NUM
ejpam-3724	256	7	,	,	PUNCT
ejpam-3724	256	8	h.	h.	PROPN
ejpam-3724	256	9	s.	s.	PROPN
ejpam-3724	256	10	ramane	ramane	PROPN
ejpam-3724	256	11	,	,	PUNCT
ejpam-3724	256	12	s.	s.	PROPN
ejpam-3724	256	13	y.	y.	PROPN
ejpam-3724	256	14	talwar	talwar	PROPN
ejpam-3724	256	15	,	,	PUNCT
ejpam-3724	256	16	i.	i.	PROPN
ejpam-3724	256	17	n.	n.	PROPN
ejpam-3724	256	18	cangul	cangul	PROPN
ejpam-3724	256	19	/	/	SYM
ejpam-3724	256	20	eur	eur	NOUN
ejpam-3724	256	21	.	.	PUNCT
ejpam-3724	257	1	j.	j.	PROPN
ejpam-3724	257	2	pure	pure	PROPN
ejpam-3724	257	3	appl	appl	PROPN
ejpam-3724	257	4	.	.	PROPN
ejpam-3724	257	5	math	math	PROPN
ejpam-3724	257	6	,	,	PUNCT
ejpam-3724	257	7	13	13	NUM
ejpam-3724	257	8	(	(	PUNCT
ejpam-3724	257	9	5	5	NUM
ejpam-3724	257	10	)	)	PUNCT
ejpam-3724	257	11	(	(	PUNCT
ejpam-3724	257	12	2020	2020	NUM
ejpam-3724	257	13	)	)	PUNCT
ejpam-3724	257	14	,	,	PUNCT
ejpam-3724	257	15	1057	1057	NUM
ejpam-3724	257	16	-	-	SYM
ejpam-3724	257	17	1071	1071	NUM
ejpam-3724	257	18	1068	1068	NUM
ejpam-3724	257	19	tga	tga	PROPN
ejpam-3724	257	20	(	(	PUNCT
ejpam-3724	257	21	wn+1	wn+1	NOUN
ejpam-3724	257	22	)	)	PUNCT
ejpam-3724	257	23	=	=	SYM
ejpam-3724	257	24	(	(	PUNCT
ejpam-3724	257	25	(	(	PUNCT
ejpam-3724	257	26	n+	n+	NUM
ejpam-3724	257	27	1	1	NUM
ejpam-3724	257	28	2	2	NUM
ejpam-3724	257	29	)	)	PUNCT
ejpam-3724	257	30	−	−	PROPN
ejpam-3724	257	31	2n	2n	NUM
ejpam-3724	257	32	)	)	PUNCT
ejpam-3724	257	33	(	(	PUNCT
ejpam-3724	257	34	2	2	NUM
ejpam-3724	257	35	√	√	NUM
ejpam-3724	257	36	4n2	4n2	NUM
ejpam-3724	258	1	−	−	NOUN
ejpam-3724	258	2	12n+	12n+	NUM
ejpam-3724	258	3	9	9	NUM
ejpam-3724	258	4	4n−	4n−	NUM
ejpam-3724	258	5	6	6	NUM
ejpam-3724	258	6	)	)	PUNCT
ejpam-3724	258	7	,	,	PUNCT
ejpam-3724	258	8	tag	tag	NOUN
ejpam-3724	258	9	(	(	PUNCT
ejpam-3724	258	10	wn+1	wn+1	NOUN
ejpam-3724	258	11	)	)	PUNCT
ejpam-3724	258	12	=	=	SYM
ejpam-3724	258	13	(	(	PUNCT
ejpam-3724	258	14	(	(	PUNCT
ejpam-3724	258	15	n+	n+	NUM
ejpam-3724	258	16	1	1	NUM
ejpam-3724	258	17	2	2	NUM
ejpam-3724	258	18	)	)	PUNCT
ejpam-3724	258	19	−	−	PROPN
ejpam-3724	258	20	2n	2n	NUM
ejpam-3724	258	21	)	)	PUNCT
ejpam-3724	258	22	(	(	PUNCT
ejpam-3724	258	23	4n−	4n−	NUM
ejpam-3724	258	24	6	6	NUM
ejpam-3724	258	25	2	2	NUM
ejpam-3724	258	26	√	√	NUM
ejpam-3724	258	27	4n2	4n2	NUM
ejpam-3724	258	28	−	−	NOUN
ejpam-3724	258	29	12n+	12n+	NUM
ejpam-3724	258	30	9	9	NUM
ejpam-3724	258	31	)	)	PUNCT
ejpam-3724	258	32	,	,	PUNCT
ejpam-3724	258	33	rtag	rtag	INTJ
ejpam-3724	258	34	(	(	PUNCT
ejpam-3724	258	35	wn+1	wn+1	NOUN
ejpam-3724	258	36	)	)	PUNCT
ejpam-3724	258	37	=	=	SYM
ejpam-3724	258	38	(	(	PUNCT
ejpam-3724	258	39	(	(	PUNCT
ejpam-3724	258	40	n+	n+	NUM
ejpam-3724	258	41	1	1	NUM
ejpam-3724	258	42	2	2	NUM
ejpam-3724	258	43	)	)	PUNCT
ejpam-3724	258	44	−	−	PROPN
ejpam-3724	258	45	2n	2n	NUM
ejpam-3724	258	46	)	)	PUNCT
ejpam-3724	259	1			NOUN
ejpam-3724	259	2	n+	n+	PUNCT
ejpam-3724	259	3	3	3	NUM
ejpam-3724	259	4	2	2	NUM
ejpam-3724	259	5	√	√	NUM
ejpam-3724	259	6	(	(	PUNCT
ejpam-3724	259	7	3	3	NUM
ejpam-3724	259	8	+	+	SYM
ejpam-3724	259	9	1	1	NUM
ejpam-3724	259	10	2(n−	2(n−	NUM
ejpam-3724	259	11	3	3	NUM
ejpam-3724	259	12	)	)	PUNCT
ejpam-3724	259	13	)	)	PUNCT
ejpam-3724	259	14	2	2	NUM
ejpam-3724	259	15			PROPN
ejpam-3724	259	16	,	,	PUNCT
ejpam-3724	259	17	rtga	rtga	NOUN
ejpam-3724	259	18	(	(	PUNCT
ejpam-3724	259	19	wn+1	wn+1	NOUN
ejpam-3724	259	20	)	)	PUNCT
ejpam-3724	259	21	=	=	SYM
ejpam-3724	259	22	(	(	PUNCT
ejpam-3724	259	23	(	(	PUNCT
ejpam-3724	259	24	n+	n+	NUM
ejpam-3724	259	25	1	1	NUM
ejpam-3724	259	26	2	2	NUM
ejpam-3724	259	27	)	)	PUNCT
ejpam-3724	259	28	−	−	PROPN
ejpam-3724	259	29	2n	2n	NUM
ejpam-3724	259	30	)	)	PUNCT
ejpam-3724	259	31	2	2	ADP
ejpam-3724	259	32	√	√	PROPN
ejpam-3724	259	33	(	(	PUNCT
ejpam-3724	259	34	3	3	NUM
ejpam-3724	259	35	+	+	SYM
ejpam-3724	259	36	1	1	NUM
ejpam-3724	259	37	2(n−	2(n−	NUM
ejpam-3724	259	38	3	3	NUM
ejpam-3724	259	39	)	)	PUNCT
ejpam-3724	259	40	)	)	PUNCT
ejpam-3724	259	41	2	2	NUM
ejpam-3724	259	42	n+	n+	SYM
ejpam-3724	259	43	3	3	NUM
ejpam-3724	259	44			PROPN
ejpam-3724	259	45	,	,	PUNCT
ejpam-3724	259	46	rtsc	rtsc	ADJ
ejpam-3724	259	47	(	(	PUNCT
ejpam-3724	259	48	wn+1	wn+1	NOUN
ejpam-3724	259	49	)	)	PUNCT
ejpam-3724	259	50	=	=	SYM
ejpam-3724	260	1	(	(	PUNCT
ejpam-3724	260	2	(	(	PUNCT
ejpam-3724	260	3	n+	n+	NUM
ejpam-3724	260	4	1	1	NUM
ejpam-3724	260	5	2	2	NUM
ejpam-3724	260	6	)	)	PUNCT
ejpam-3724	260	7	−	−	PROPN
ejpam-3724	260	8	2n	2n	NUM
ejpam-3724	260	9	)	)	PUNCT
ejpam-3724	260	10	1√	1√	PROPN
ejpam-3724	260	11	n+	n+	ADP
ejpam-3724	260	12	3	3	NUM
ejpam-3724	260	13	,	,	PUNCT
ejpam-3724	260	14	rtabc	rtabc	VERB
ejpam-3724	260	15	(	(	PUNCT
ejpam-3724	260	16	wn+1	wn+1	NOUN
ejpam-3724	260	17	)	)	PUNCT
ejpam-3724	260	18	=	=	SYM
ejpam-3724	261	1	(	(	PUNCT
ejpam-3724	261	2	(	(	PUNCT
ejpam-3724	261	3	n+	n+	NUM
ejpam-3724	261	4	1	1	NUM
ejpam-3724	261	5	2	2	NUM
ejpam-3724	261	6	)	)	PUNCT
ejpam-3724	261	7	−	−	PROPN
ejpam-3724	261	8	2n	2n	NUM
ejpam-3724	261	9	)	)	PUNCT
ejpam-3724	261	10	√	√	PROPN
ejpam-3724	261	11	n+	n+	PUNCT
ejpam-3724	262	1	1	1	NUM
ejpam-3724	262	2	(	(	PUNCT
ejpam-3724	262	3	3	3	NUM
ejpam-3724	262	4	+	+	SYM
ejpam-3724	262	5	1	1	NUM
ejpam-3724	262	6	2(n−	2(n−	NUM
ejpam-3724	262	7	3	3	NUM
ejpam-3724	262	8	)	)	PUNCT
ejpam-3724	262	9	)	)	PUNCT
ejpam-3724	262	10	2	2	NUM
ejpam-3724	262	11	,	,	PUNCT
ejpam-3724	262	12	rtaz	rtaz	NOUN
ejpam-3724	262	13	(	(	PUNCT
ejpam-3724	262	14	wn+1	wn+1	NOUN
ejpam-3724	262	15	)	)	PUNCT
ejpam-3724	262	16	=	=	SYM
ejpam-3724	262	17	(	(	PUNCT
ejpam-3724	262	18	(	(	PUNCT
ejpam-3724	262	19	n+	n+	NUM
ejpam-3724	262	20	1	1	NUM
ejpam-3724	262	21	2	2	NUM
ejpam-3724	262	22	)	)	PUNCT
ejpam-3724	262	23	−	−	PROPN
ejpam-3724	262	24	2n	2n	NUM
ejpam-3724	262	25	)	)	PUNCT
ejpam-3724	262	26	(	(	PUNCT
ejpam-3724	262	27	(	(	PUNCT
ejpam-3724	262	28	3	3	NUM
ejpam-3724	262	29	+	+	SYM
ejpam-3724	262	30	1	1	NUM
ejpam-3724	262	31	2(n−	2(n−	NUM
ejpam-3724	262	32	3)2	3)2	NUM
ejpam-3724	262	33	)	)	PUNCT
ejpam-3724	262	34	n+	n+	ADP
ejpam-3724	262	35	1	1	NUM
ejpam-3724	262	36	)	)	SYM
ejpam-3724	262	37	3	3	NUM
ejpam-3724	262	38	.	.	PUNCT
ejpam-3724	263	1	a	a	DET
ejpam-3724	263	2	friendship	friendship	NOUN
ejpam-3724	263	3	graph	graph	NOUN
ejpam-3724	263	4	(	(	PUNCT
ejpam-3724	263	5	or	or	CCONJ
ejpam-3724	263	6	dutch	dutch	ADJ
ejpam-3724	263	7	windmill	windmill	NOUN
ejpam-3724	263	8	graph	graph	NOUN
ejpam-3724	263	9	)	)	PUNCT
ejpam-3724	263	10	fn	fn	NOUN
ejpam-3724	263	11	,	,	PUNCT
ejpam-3724	263	12	n	n	PRON
ejpam-3724	263	13	≥	≥	NOUN
ejpam-3724	263	14	2	2	NUM
ejpam-3724	263	15	,	,	PUNCT
ejpam-3724	263	16	is	be	AUX
ejpam-3724	263	17	a	a	DET
ejpam-3724	263	18	graph	graph	NOUN
ejpam-3724	263	19	that	that	PRON
ejpam-3724	263	20	can	can	AUX
ejpam-3724	263	21	be	be	AUX
ejpam-3724	263	22	constructed	construct	VERB
ejpam-3724	263	23	by	by	ADP
ejpam-3724	263	24	coalescence	coalescence	NOUN
ejpam-3724	263	25	n	n	PRON
ejpam-3724	263	26	copies	copy	NOUN
ejpam-3724	263	27	of	of	ADP
ejpam-3724	263	28	the	the	DET
ejpam-3724	263	29	cycle	cycle	NOUN
ejpam-3724	263	30	c3	c3	NOUN
ejpam-3724	263	31	of	of	ADP
ejpam-3724	263	32	length	length	NOUN
ejpam-3724	263	33	3	3	NUM
ejpam-3724	263	34	with	with	ADP
ejpam-3724	263	35	a	a	DET
ejpam-3724	263	36	common	common	ADJ
ejpam-3724	263	37	vertex	vertex	NOUN
ejpam-3724	263	38	.	.	PUNCT
ejpam-3724	264	1	it	it	PRON
ejpam-3724	264	2	has	have	VERB
ejpam-3724	264	3	2n+	2n+	NUM
ejpam-3724	264	4	1	1	NUM
ejpam-3724	264	5	vertices	vertex	NOUN
ejpam-3724	264	6	and	and	CCONJ
ejpam-3724	264	7	3n	3n	NUM
ejpam-3724	264	8	edges	edge	NOUN
ejpam-3724	264	9	.	.	PUNCT
ejpam-3724	265	1	the	the	DET
ejpam-3724	265	2	degree	degree	NOUN
ejpam-3724	265	3	of	of	ADP
ejpam-3724	265	4	a	a	DET
ejpam-3724	265	5	coalescence	coalescence	NOUN
ejpam-3724	265	6	vertex	vertex	NOUN
ejpam-3724	265	7	of	of	ADP
ejpam-3724	265	8	fn	fn	NOUN
ejpam-3724	265	9	is	be	AUX
ejpam-3724	265	10	2n	2n	NUM
ejpam-3724	265	11	and	and	CCONJ
ejpam-3724	265	12	the	the	DET
ejpam-3724	265	13	degree	degree	NOUN
ejpam-3724	265	14	of	of	ADP
ejpam-3724	265	15	all	all	DET
ejpam-3724	265	16	other	other	ADJ
ejpam-3724	265	17	vertices	vertex	NOUN
ejpam-3724	265	18	is	be	AUX
ejpam-3724	265	19	2	2	NUM
ejpam-3724	265	20	.	.	PUNCT
ejpam-3724	265	21	proposition	proposition	NOUN
ejpam-3724	265	22	5	5	NUM
ejpam-3724	265	23	.	.	PUNCT
ejpam-3724	266	1	for	for	ADP
ejpam-3724	266	2	a	a	DET
ejpam-3724	266	3	friendship	friendship	NOUN
ejpam-3724	266	4	graph	graph	NOUN
ejpam-3724	266	5	fn	fn	NOUN
ejpam-3724	266	6	,	,	PUNCT
ejpam-3724	266	7	n	n	PRON
ejpam-3724	266	8	≥	≥	NOUN
ejpam-3724	266	9	2	2	NUM
ejpam-3724	266	10	,	,	PUNCT
ejpam-3724	266	11	tsc(fn	tsc(fn	NOUN
ejpam-3724	266	12	)	)	PUNCT
ejpam-3724	266	13	=	=	SYM
ejpam-3724	266	14	(	(	PUNCT
ejpam-3724	266	15	(	(	PUNCT
ejpam-3724	266	16	2n+	2n+	NUM
ejpam-3724	266	17	1	1	NUM
ejpam-3724	266	18	2	2	NUM
ejpam-3724	266	19	)	)	PUNCT
ejpam-3724	266	20	−	−	PROPN
ejpam-3724	266	21	3n	3n	NUM
ejpam-3724	266	22	)	)	PUNCT
ejpam-3724	266	23	1	1	NUM
ejpam-3724	266	24	2	2	NUM
ejpam-3724	266	25	√	√	NOUN
ejpam-3724	266	26	2n−	2n−	NUM
ejpam-3724	266	27	1	1	NUM
ejpam-3724	266	28	,	,	PUNCT
ejpam-3724	266	29	tabc(fn	tabc(fn	NOUN
ejpam-3724	266	30	)	)	PUNCT
ejpam-3724	266	31	=	=	SYM
ejpam-3724	266	32	(	(	PUNCT
ejpam-3724	266	33	(	(	PUNCT
ejpam-3724	266	34	2n+	2n+	NUM
ejpam-3724	266	35	1	1	NUM
ejpam-3724	266	36	2	2	NUM
ejpam-3724	266	37	)	)	PUNCT
ejpam-3724	266	38	−	−	PROPN
ejpam-3724	267	1	3n	3n	NUM
ejpam-3724	267	2	)	)	PUNCT
ejpam-3724	268	1	√	√	NOUN
ejpam-3724	269	1	4n−	4n−	NUM
ejpam-3724	269	2	3	3	NUM
ejpam-3724	269	3	8n2	8n2	NUM
ejpam-3724	269	4	−	−	PROPN
ejpam-3724	269	5	8n+	8n+	NUM
ejpam-3724	269	6	2	2	NUM
ejpam-3724	269	7	,	,	PUNCT
ejpam-3724	269	8	taz(fn	taz(fn	NOUN
ejpam-3724	269	9	)	)	PUNCT
ejpam-3724	269	10	=	=	SYM
ejpam-3724	269	11	(	(	PUNCT
ejpam-3724	269	12	(	(	PUNCT
ejpam-3724	269	13	2n+	2n+	NUM
ejpam-3724	269	14	1	1	NUM
ejpam-3724	269	15	2	2	NUM
ejpam-3724	269	16	)	)	PUNCT
ejpam-3724	269	17	−	−	PROPN
ejpam-3724	269	18	3n	3n	NOUN
ejpam-3724	269	19	)	)	PUNCT
ejpam-3724	269	20	(	(	PUNCT
ejpam-3724	269	21	8n2	8n2	NUM
ejpam-3724	269	22	−	−	PROPN
ejpam-3724	269	23	8n+	8n+	NUM
ejpam-3724	269	24	2	2	NUM
ejpam-3724	269	25	4n−	4n−	NUM
ejpam-3724	269	26	3	3	NUM
ejpam-3724	269	27	)	)	SYM
ejpam-3724	269	28	3	3	NUM
ejpam-3724	269	29	,	,	PUNCT
ejpam-3724	269	30	references	reference	NOUN
ejpam-3724	269	31	1069	1069	NUM
ejpam-3724	269	32	tga(fn	tga(fn	NOUN
ejpam-3724	269	33	)	)	PUNCT
ejpam-3724	269	34	=	=	SYM
ejpam-3724	269	35	(	(	PUNCT
ejpam-3724	269	36	(	(	PUNCT
ejpam-3724	269	37	2n+	2n+	NUM
ejpam-3724	269	38	1	1	NUM
ejpam-3724	269	39	2	2	NUM
ejpam-3724	269	40	)	)	PUNCT
ejpam-3724	269	41	−	−	PROPN
ejpam-3724	269	42	3n	3n	NUM
ejpam-3724	269	43	)	)	PUNCT
ejpam-3724	269	44	(	(	PUNCT
ejpam-3724	269	45	√	√	NUM
ejpam-3724	269	46	4n2	4n2	NUM
ejpam-3724	269	47	−	−	NOUN
ejpam-3724	269	48	4n+	4n+	NUM
ejpam-3724	269	49	1	1	NUM
ejpam-3724	269	50	2n−	2n−	NUM
ejpam-3724	269	51	1	1	NUM
ejpam-3724	269	52	)	)	PUNCT
ejpam-3724	269	53	,	,	PUNCT
ejpam-3724	269	54	tag(fn	tag(fn	NOUN
ejpam-3724	269	55	)	)	PUNCT
ejpam-3724	269	56	=	=	SYM
ejpam-3724	269	57	(	(	PUNCT
ejpam-3724	269	58	(	(	PUNCT
ejpam-3724	269	59	2n+	2n+	NUM
ejpam-3724	269	60	1	1	NUM
ejpam-3724	269	61	2	2	NUM
ejpam-3724	269	62	)	)	PUNCT
ejpam-3724	269	63	−	−	PROPN
ejpam-3724	269	64	3n	3n	NUM
ejpam-3724	269	65	)	)	PUNCT
ejpam-3724	269	66	(	(	PUNCT
ejpam-3724	269	67	2n−	2n−	NUM
ejpam-3724	269	68	1√	1√	PROPN
ejpam-3724	269	69	4n2	4n2	NUM
ejpam-3724	270	1	−	−	NOUN
ejpam-3724	271	1	4n+	4n+	NUM
ejpam-3724	271	2	1	1	NUM
ejpam-3724	271	3	)	)	PUNCT
ejpam-3724	271	4	,	,	PUNCT
ejpam-3724	271	5	rtag(fn	rtag(fn	NOUN
ejpam-3724	271	6	)	)	PUNCT
ejpam-3724	271	7	=	=	SYM
ejpam-3724	272	1	(	(	PUNCT
ejpam-3724	272	2	2n+	2n+	NUM
ejpam-3724	272	3	1	1	NUM
ejpam-3724	272	4	2	2	NUM
ejpam-3724	272	5	)	)	PUNCT
ejpam-3724	272	6	−	−	PROPN
ejpam-3724	273	1	3n	3n	NOUN
ejpam-3724	273	2	,	,	PUNCT
ejpam-3724	273	3	rtga(fn	rtga(fn	NOUN
ejpam-3724	273	4	)	)	PUNCT
ejpam-3724	273	5	=	=	SYM
ejpam-3724	273	6	(	(	PUNCT
ejpam-3724	273	7	2n+	2n+	NUM
ejpam-3724	273	8	1	1	NUM
ejpam-3724	273	9	2	2	NUM
ejpam-3724	273	10	)	)	PUNCT
ejpam-3724	273	11	−	−	PROPN
ejpam-3724	273	12	3n	3n	NOUN
ejpam-3724	273	13	,	,	PUNCT
ejpam-3724	273	14	rtsc(fn	rtsc(fn	PROPN
ejpam-3724	273	15	)	)	PUNCT
ejpam-3724	273	16	=	=	SYM
ejpam-3724	273	17	(	(	PUNCT
ejpam-3724	273	18	(	(	PUNCT
ejpam-3724	273	19	2n+	2n+	NUM
ejpam-3724	273	20	1	1	NUM
ejpam-3724	273	21	2	2	NUM
ejpam-3724	273	22	)	)	PUNCT
ejpam-3724	273	23	−	−	PROPN
ejpam-3724	273	24	3n	3n	NUM
ejpam-3724	273	25	)	)	PUNCT
ejpam-3724	273	26	1√	1√	NOUN
ejpam-3724	273	27	2(n+	2(n+	NOUN
ejpam-3724	273	28	1	1	NUM
ejpam-3724	273	29	)	)	PUNCT
ejpam-3724	273	30	,	,	PUNCT
ejpam-3724	273	31	rtabc(fn	rtabc(fn	NOUN
ejpam-3724	273	32	)	)	PUNCT
ejpam-3724	273	33	=	=	SYM
ejpam-3724	273	34	(	(	PUNCT
ejpam-3724	273	35	(	(	PUNCT
ejpam-3724	273	36	2n+	2n+	NUM
ejpam-3724	273	37	1	1	NUM
ejpam-3724	273	38	2	2	NUM
ejpam-3724	273	39	)	)	PUNCT
ejpam-3724	273	40	−	−	PROPN
ejpam-3724	273	41	3n	3n	NUM
ejpam-3724	273	42	)	)	PUNCT
ejpam-3724	274	1	√	√	NUM
ejpam-3724	274	2	2n	2n	NUM
ejpam-3724	274	3	n+	n+	ADP
ejpam-3724	274	4	1	1	NUM
ejpam-3724	274	5	,	,	PUNCT
ejpam-3724	274	6	rtaz(fn	rtaz(fn	NOUN
ejpam-3724	274	7	)	)	PUNCT
ejpam-3724	274	8	=	=	PUNCT
ejpam-3724	275	1	(	(	PUNCT
ejpam-3724	275	2	(	(	PUNCT
ejpam-3724	275	3	2n+	2n+	NUM
ejpam-3724	275	4	1	1	NUM
ejpam-3724	275	5	2	2	NUM
ejpam-3724	275	6	)	)	PUNCT
ejpam-3724	275	7	−	−	PROPN
ejpam-3724	275	8	3n	3n	NOUN
ejpam-3724	275	9	)	)	PUNCT
ejpam-3724	275	10	(	(	PUNCT
ejpam-3724	275	11	(	(	PUNCT
ejpam-3724	275	12	n+	n+	NUM
ejpam-3724	275	13	1)2	1)2	NUM
ejpam-3724	275	14	2n	2n	NUM
ejpam-3724	275	15	)	)	PUNCT
ejpam-3724	275	16	3	3	NUM
ejpam-3724	275	17	.	.	PUNCT
ejpam-3724	276	1	acknowledgements	acknowledgement	NOUN
ejpam-3724	276	2	the	the	DET
ejpam-3724	276	3	first	first	ADJ
ejpam-3724	276	4	author	author	NOUN
ejpam-3724	276	5	hsr	hsr	PROPN
ejpam-3724	276	6	is	be	AUX
ejpam-3724	276	7	thankful	thankful	ADJ
ejpam-3724	276	8	to	to	ADP
ejpam-3724	276	9	university	university	NOUN
ejpam-3724	276	10	grants	grant	NOUN
ejpam-3724	276	11	commission	commission	PROPN
ejpam-3724	276	12	(	(	PUNCT
ejpam-3724	276	13	ugc	ugc	PROPN
ejpam-3724	276	14	)	)	PUNCT
ejpam-3724	276	15	,	,	PUNCT
ejpam-3724	276	16	new	new	ADJ
ejpam-3724	276	17	delhi	delhi	PROPN
ejpam-3724	276	18	,	,	PUNCT
ejpam-3724	276	19	for	for	ADP
ejpam-3724	276	20	the	the	DET
ejpam-3724	276	21	support	support	NOUN
ejpam-3724	276	22	through	through	ADP
ejpam-3724	276	23	grant	grant	NOUN
ejpam-3724	276	24	under	under	ADP
ejpam-3724	276	25	ugc	ugc	PROPN
ejpam-3724	276	26	-	-	PUNCT
ejpam-3724	276	27	sap	sap	PROPN
ejpam-3724	276	28	drs	drs	PROPN
ejpam-3724	276	29	-	-	PUNCT
ejpam-3724	276	30	iii	iii	NOUN
ejpam-3724	276	31	,	,	PUNCT
ejpam-3724	276	32	2016	2016	NUM
ejpam-3724	276	33	-	-	SYM
ejpam-3724	276	34	2021	2021	NUM
ejpam-3724	276	35	:	:	PUNCT
ejpam-3724	276	36	f.510/3	f.510/3	NUM
ejpam-3724	276	37	/	/	SYM
ejpam-3724	276	38	drs	drs	PROPN
ejpam-3724	276	39	-	-	PUNCT
ejpam-3724	276	40	iii	iii	NOUN
ejpam-3724	276	41	/2016	/2016	PUNCT
ejpam-3724	276	42	(	(	PUNCT
ejpam-3724	276	43	sap	sap	PROPN
ejpam-3724	276	44	-	-	PUNCT
ejpam-3724	276	45	i	i	PROPN
ejpam-3724	276	46	)	)	PUNCT
ejpam-3724	276	47	.	.	PUNCT
ejpam-3724	277	1	the	the	DET
ejpam-3724	277	2	second	second	ADJ
ejpam-3724	277	3	author	author	NOUN
ejpam-3724	277	4	syt	syt	PROPN
ejpam-3724	277	5	is	be	AUX
ejpam-3724	277	6	thankful	thankful	ADJ
ejpam-3724	277	7	to	to	ADP
ejpam-3724	277	8	ministry	ministry	PROPN
ejpam-3724	277	9	of	of	ADP
ejpam-3724	277	10	tribal	tribal	PROPN
ejpam-3724	277	11	affairs	affairs	PROPN
ejpam-3724	277	12	,	,	PUNCT
ejpam-3724	277	13	govt	govt	PROPN
ejpam-3724	277	14	.	.	PUNCT
ejpam-3724	278	1	of	of	ADP
ejpam-3724	278	2	india	india	PROPN
ejpam-3724	278	3	,	,	PUNCT
ejpam-3724	278	4	new	new	ADJ
ejpam-3724	278	5	delhi	delhi	PROPN
ejpam-3724	278	6	for	for	ADP
ejpam-3724	278	7	awarding	award	VERB
ejpam-3724	278	8	national	national	ADJ
ejpam-3724	278	9	fellowship	fellowship	NOUN
ejpam-3724	278	10	for	for	ADP
ejpam-3724	278	11	higher	high	ADJ
ejpam-3724	278	12	education	education	NOUN
ejpam-3724	278	13	no	no	NOUN
ejpam-3724	278	14	.	.	NOUN
ejpam-3724	278	15	2017	2017	NUM
ejpam-3724	278	16	18	18	NUM
ejpam-3724	278	17	-	-	PUNCT
ejpam-3724	278	18	nfst	nfst	NOUN
ejpam-3724	278	19	-	-	PUNCT
ejpam-3724	278	20	kar-01182	kar-01182	NOUN
ejpam-3724	278	21	.	.	PUNCT
ejpam-3724	279	1	references	reference	NOUN
ejpam-3724	280	1	[	[	X
ejpam-3724	280	2	1	1	NUM
ejpam-3724	280	3	]	]	SYM
ejpam-3724	280	4	b	b	NOUN
ejpam-3724	280	5	basvanagoud	basvanagoud	ADJ
ejpam-3724	280	6	,	,	PUNCT
ejpam-3724	280	7	v	v	X
ejpam-3724	280	8	r	r	PROPN
ejpam-3724	280	9	desai	desai	PROPN
ejpam-3724	280	10	,	,	PUNCT
ejpam-3724	280	11	and	and	CCONJ
ejpam-3724	280	12	i	i	PRON
ejpam-3724	280	13	n	n	PRON
ejpam-3724	280	14	cangul	cangul	VERB
ejpam-3724	280	15	.	.	PUNCT
ejpam-3724	281	1	four	four	NUM
ejpam-3724	281	2	new	new	ADJ
ejpam-3724	281	3	tensor	tensor	NOUN
ejpam-3724	281	4	products	product	NOUN
ejpam-3724	281	5	of	of	ADP
ejpam-3724	281	6	graphs	graph	NOUN
ejpam-3724	281	7	and	and	CCONJ
ejpam-3724	281	8	their	their	PRON
ejpam-3724	281	9	zagreb	zagreb	PROPN
ejpam-3724	281	10	indices	index	NOUN
ejpam-3724	281	11	and	and	CCONJ
ejpam-3724	281	12	coindices	coindice	NOUN
ejpam-3724	281	13	.	.	PUNCT
ejpam-3724	282	1	electronic	electronic	ADJ
ejpam-3724	282	2	journal	journal	NOUN
ejpam-3724	282	3	of	of	ADP
ejpam-3724	282	4	mathematical	mathematical	ADJ
ejpam-3724	282	5	analysis	analysis	NOUN
ejpam-3724	282	6	and	and	CCONJ
ejpam-3724	282	7	applications	application	NOUN
ejpam-3724	282	8	,	,	PUNCT
ejpam-3724	282	9	8(1):209–219	8(1):209–219	NUM
ejpam-3724	282	10	,	,	PUNCT
ejpam-3724	282	11	2020	2020	NUM
ejpam-3724	282	12	.	.	PUNCT
ejpam-3724	283	1	[	[	X
ejpam-3724	283	2	2	2	X
ejpam-3724	283	3	]	]	PUNCT
ejpam-3724	283	4	a	a	DET
ejpam-3724	283	5	r	r	NOUN
ejpam-3724	283	6	bindusree	bindusree	NOUN
ejpam-3724	283	7	,	,	PUNCT
ejpam-3724	283	8	i	i	PRON
ejpam-3724	283	9	n	n	PRON
ejpam-3724	283	10	cangul	cangul	VERB
ejpam-3724	283	11	,	,	PUNCT
ejpam-3724	283	12	v	v	ADP
ejpam-3724	283	13	lokesha	lokesha	NOUN
ejpam-3724	283	14	,	,	PUNCT
ejpam-3724	283	15	and	and	CCONJ
ejpam-3724	283	16	a	a	DET
ejpam-3724	283	17	s	s	NOUN
ejpam-3724	283	18	cevik	cevik	NOUN
ejpam-3724	283	19	.	.	PUNCT
ejpam-3724	284	1	zagreb	zagreb	PROPN
ejpam-3724	284	2	polynomials	polynomial	NOUN
ejpam-3724	284	3	of	of	ADP
ejpam-3724	284	4	three	three	NUM
ejpam-3724	284	5	graph	graph	NOUN
ejpam-3724	284	6	operators	operator	NOUN
ejpam-3724	284	7	.	.	PUNCT
ejpam-3724	285	1	filomat	filomat	PROPN
ejpam-3724	285	2	,	,	PUNCT
ejpam-3724	285	3	30(7):1979–1986	30(7):1979–1986	PROPN
ejpam-3724	285	4	,	,	PUNCT
ejpam-3724	285	5	2016	2016	NUM
ejpam-3724	285	6	.	.	PUNCT
ejpam-3724	286	1	[	[	X
ejpam-3724	286	2	3	3	X
ejpam-3724	286	3	]	]	X
ejpam-3724	286	4	k	k	PROPN
ejpam-3724	286	5	c	c	PROPN
ejpam-3724	286	6	das	das	PROPN
ejpam-3724	286	7	,	,	PUNCT
ejpam-3724	286	8	n	n	PRON
ejpam-3724	286	9	akgunes	akgune	NOUN
ejpam-3724	286	10	,	,	PUNCT
ejpam-3724	286	11	m	m	PROPN
ejpam-3724	286	12	togan	togan	ADJ
ejpam-3724	286	13	,	,	PUNCT
ejpam-3724	286	14	a	a	DET
ejpam-3724	286	15	yurttas	yurtta	NOUN
ejpam-3724	286	16	,	,	PUNCT
ejpam-3724	286	17	i	i	PRON
ejpam-3724	286	18	n	n	PRON
ejpam-3724	286	19	cangul	cangul	VERB
ejpam-3724	286	20	,	,	PUNCT
ejpam-3724	286	21	and	and	CCONJ
ejpam-3724	286	22	a	a	DET
ejpam-3724	286	23	s	s	NOUN
ejpam-3724	286	24	cevik	cevik	NOUN
ejpam-3724	286	25	.	.	PUNCT
ejpam-3724	287	1	on	on	ADP
ejpam-3724	287	2	the	the	DET
ejpam-3724	287	3	first	first	ADJ
ejpam-3724	287	4	zagreb	zagreb	PROPN
ejpam-3724	287	5	index	index	NOUN
ejpam-3724	287	6	and	and	CCONJ
ejpam-3724	287	7	multiplicative	multiplicative	PROPN
ejpam-3724	287	8	zagreb	zagreb	PROPN
ejpam-3724	287	9	coindices	coindice	NOUN
ejpam-3724	287	10	of	of	ADP
ejpam-3724	287	11	graphs	graph	NOUN
ejpam-3724	287	12	.	.	PUNCT
ejpam-3724	288	1	analele	analele	ADP
ejpam-3724	288	2	stiintifice	stiintifice	PROPN
ejpam-3724	288	3	ale	ale	PROPN
ejpam-3724	288	4	universitatii	universitatii	PROPN
ejpam-3724	288	5	ovidius	ovidius	PROPN
ejpam-3724	288	6	constanta	constanta	PROPN
ejpam-3724	288	7	,	,	PUNCT
ejpam-3724	288	8	24(1):153–176	24(1):153–176	PROPN
ejpam-3724	288	9	,	,	PUNCT
ejpam-3724	288	10	2016	2016	NUM
ejpam-3724	288	11	.	.	PUNCT
ejpam-3724	289	1	references	reference	NOUN
ejpam-3724	289	2	1070	1070	NUM
ejpam-3724	289	3	[	[	X
ejpam-3724	289	4	4	4	NUM
ejpam-3724	289	5	]	]	X
ejpam-3724	289	6	k	k	PROPN
ejpam-3724	289	7	c	c	PROPN
ejpam-3724	289	8	das	das	PROPN
ejpam-3724	289	9	,	,	PUNCT
ejpam-3724	289	10	a	a	DET
ejpam-3724	289	11	yurttas	yurtta	NOUN
ejpam-3724	289	12	,	,	PUNCT
ejpam-3724	289	13	m	m	NOUN
ejpam-3724	289	14	togan	togan	VERB
ejpam-3724	289	15	,	,	PUNCT
ejpam-3724	289	16	i	i	PRON
ejpam-3724	289	17	n	n	PRON
ejpam-3724	289	18	cangul	cangul	VERB
ejpam-3724	289	19	,	,	PUNCT
ejpam-3724	289	20	and	and	CCONJ
ejpam-3724	289	21	a	a	DET
ejpam-3724	289	22	s	s	NOUN
ejpam-3724	289	23	cevik	cevik	NOUN
ejpam-3724	289	24	.	.	PUNCT
ejpam-3724	290	1	the	the	DET
ejpam-3724	290	2	multiplicative	multiplicative	PROPN
ejpam-3724	290	3	zagreb	zagreb	PROPN
ejpam-3724	290	4	indices	index	NOUN
ejpam-3724	290	5	of	of	ADP
ejpam-3724	290	6	graph	graph	NOUN
ejpam-3724	290	7	operations	operation	NOUN
ejpam-3724	290	8	.	.	PUNCT
ejpam-3724	291	1	journal	journal	PROPN
ejpam-3724	291	2	of	of	ADP
ejpam-3724	291	3	inequalities	inequality	NOUN
ejpam-3724	291	4	and	and	CCONJ
ejpam-3724	291	5	applications	application	NOUN
ejpam-3724	291	6	.	.	PUNCT
ejpam-3724	291	7	,	,	PUNCT
ejpam-3724	291	8	90:1–14	90:1–14	X
ejpam-3724	291	9	,	,	PUNCT
ejpam-3724	291	10	2013	2013	NUM
ejpam-3724	291	11	.	.	PUNCT
ejpam-3724	292	1	[	[	X
ejpam-3724	292	2	5	5	NUM
ejpam-3724	292	3	]	]	SYM
ejpam-3724	292	4	b	b	NOUN
ejpam-3724	292	5	furtula	furtula	NOUN
ejpam-3724	292	6	and	and	CCONJ
ejpam-3724	292	7	i	i	PROPN
ejpam-3724	292	8	gutman	gutman	PROPN
ejpam-3724	292	9	.	.	PUNCT
ejpam-3724	293	1	a	a	DET
ejpam-3724	293	2	forgotten	forget	VERB
ejpam-3724	293	3	topological	topological	ADJ
ejpam-3724	293	4	index	index	NOUN
ejpam-3724	293	5	.	.	PUNCT
ejpam-3724	294	1	j	j	PROPN
ejpam-3724	294	2	math	math	PROPN
ejpam-3724	294	3	chem	chem	PROPN
ejpam-3724	294	4	,	,	PUNCT
ejpam-3724	294	5	53(4):1184	53(4):1184	NUM
ejpam-3724	294	6	–	–	PUNCT
ejpam-3724	294	7	1190	1190	NUM
ejpam-3724	294	8	,	,	PUNCT
ejpam-3724	294	9	2015	2015	NUM
ejpam-3724	294	10	.	.	PUNCT
ejpam-3724	295	1	[	[	X
ejpam-3724	295	2	6	6	NUM
ejpam-3724	295	3	]	]	PUNCT
ejpam-3724	295	4	i	i	PROPN
ejpam-3724	295	5	gutman	gutman	PROPN
ejpam-3724	295	6	.	.	PUNCT
ejpam-3724	295	7	degree	degree	NOUN
ejpam-3724	295	8	-	-	PUNCT
ejpam-3724	295	9	based	base	VERB
ejpam-3724	295	10	topological	topological	ADJ
ejpam-3724	295	11	indices	index	NOUN
ejpam-3724	295	12	.	.	PUNCT
ejpam-3724	296	1	analele	analele	ADP
ejpam-3724	296	2	stiintifice	stiintifice	PROPN
ejpam-3724	296	3	ale	ale	PROPN
ejpam-3724	296	4	universitatii	universitatii	PROPN
ejpam-3724	296	5	ovidius	ovidius	PROPN
ejpam-3724	296	6	constanta	constanta	PROPN
ejpam-3724	296	7	,	,	PUNCT
ejpam-3724	296	8	86:351–361	86:351–361	NOUN
ejpam-3724	296	9	,	,	PUNCT
ejpam-3724	296	10	2013	2013	NUM
ejpam-3724	296	11	.	.	PUNCT
ejpam-3724	297	1	[	[	X
ejpam-3724	297	2	7	7	X
ejpam-3724	297	3	]	]	X
ejpam-3724	297	4	i	i	PRON
ejpam-3724	297	5	gutman	gutman	NOUN
ejpam-3724	297	6	and	and	CCONJ
ejpam-3724	297	7	k	k	PROPN
ejpam-3724	297	8	c	c	PROPN
ejpam-3724	297	9	das	das	PROPN
ejpam-3724	297	10	.	.	PUNCT
ejpam-3724	298	1	the	the	DET
ejpam-3724	298	2	first	first	PROPN
ejpam-3724	298	3	zagreb	zagreb	PROPN
ejpam-3724	298	4	index	index	NOUN
ejpam-3724	298	5	30	30	NUM
ejpam-3724	298	6	years	year	NOUN
ejpam-3724	298	7	after	after	ADP
ejpam-3724	298	8	.	.	PUNCT
ejpam-3724	298	9	match	match	PROPN
ejpam-3724	298	10	commu	commu	PROPN
ejpam-3724	298	11	.	.	PUNCT
ejpam-3724	298	12	math	math	NOUN
ejpam-3724	298	13	.	.	PUNCT
ejpam-3724	299	1	comput	comput	NOUN
ejpam-3724	299	2	.	.	PUNCT
ejpam-3724	300	1	chem	chem	NOUN
ejpam-3724	300	2	.	.	PUNCT
ejpam-3724	300	3	,	,	PUNCT
ejpam-3724	300	4	50:83–92	50:83–92	NUM
ejpam-3724	300	5	,	,	PUNCT
ejpam-3724	300	6	2004	2004	NUM
ejpam-3724	300	7	.	.	PUNCT
ejpam-3724	301	1	[	[	X
ejpam-3724	301	2	8	8	NUM
ejpam-3724	301	3	]	]	X
ejpam-3724	301	4	i	i	PRON
ejpam-3724	301	5	gutman	gutman	NOUN
ejpam-3724	301	6	and	and	CCONJ
ejpam-3724	301	7	n	n	CCONJ
ejpam-3724	301	8	trinajstić.	trinajstić.	PROPN
ejpam-3724	301	9	graph	graph	NOUN
ejpam-3724	301	10	theory	theory	NOUN
ejpam-3724	301	11	and	and	CCONJ
ejpam-3724	301	12	molecular	molecular	ADJ
ejpam-3724	301	13	orbitals	orbital	NOUN
ejpam-3724	301	14	,	,	PUNCT
ejpam-3724	301	15	total	total	ADJ
ejpam-3724	301	16	π	π	PROPN
ejpam-3724	301	17	-	-	NOUN
ejpam-3724	301	18	electron	electron	NOUN
ejpam-3724	301	19	energy	energy	NOUN
ejpam-3724	301	20	of	of	ADP
ejpam-3724	301	21	alternant	alternant	ADJ
ejpam-3724	301	22	hydrocarbons	hydrocarbon	NOUN
ejpam-3724	301	23	.	.	PUNCT
ejpam-3724	302	1	chem	chem	NOUN
ejpam-3724	302	2	.	.	PUNCT
ejpam-3724	303	1	phys	phy	NOUN
ejpam-3724	303	2	.	.	PUNCT
ejpam-3724	304	1	lett	lett	PROPN
ejpam-3724	304	2	.	.	PROPN
ejpam-3724	304	3	,	,	PUNCT
ejpam-3724	304	4	17:535–538	17:535–538	NUM
ejpam-3724	304	5	,	,	PUNCT
ejpam-3724	304	6	1972	1972	NUM
ejpam-3724	304	7	.	.	PUNCT
ejpam-3724	305	1	[	[	X
ejpam-3724	305	2	9	9	NUM
ejpam-3724	305	3	]	]	SYM
ejpam-3724	305	4	f	f	PROPN
ejpam-3724	305	5	harary	harary	NOUN
ejpam-3724	305	6	.	.	PUNCT
ejpam-3724	306	1	status	status	NOUN
ejpam-3724	306	2	and	and	CCONJ
ejpam-3724	306	3	contrastatus	contrastatus	NOUN
ejpam-3724	306	4	.	.	PUNCT
ejpam-3724	307	1	sociometry	sociometry	PROPN
ejpam-3724	307	2	,	,	PUNCT
ejpam-3724	307	3	22(1):23–43	22(1):23–43	NUM
ejpam-3724	307	4	,	,	PUNCT
ejpam-3724	307	5	1959	1959	NUM
ejpam-3724	307	6	.	.	PUNCT
ejpam-3724	308	1	[	[	X
ejpam-3724	308	2	10	10	NUM
ejpam-3724	308	3	]	]	X
ejpam-3724	308	4	f	f	PROPN
ejpam-3724	308	5	harary	harary	NOUN
ejpam-3724	308	6	.	.	PUNCT
ejpam-3724	309	1	graph	graph	NOUN
ejpam-3724	309	2	theory	theory	NOUN
ejpam-3724	309	3	.	.	PUNCT
ejpam-3724	310	1	narosa	narosa	PROPN
ejpam-3724	310	2	publishing	publishing	PROPN
ejpam-3724	310	3	house	house	PROPN
ejpam-3724	310	4	,	,	PUNCT
ejpam-3724	310	5	new	new	PROPN
ejpam-3724	310	6	delhi	delhi	PROPN
ejpam-3724	310	7	,	,	PUNCT
ejpam-3724	310	8	1999	1999	NUM
ejpam-3724	310	9	.	.	PUNCT
ejpam-3724	311	1	[	[	X
ejpam-3724	311	2	11	11	NUM
ejpam-3724	311	3	]	]	X
ejpam-3724	311	4	k	k	NOUN
ejpam-3724	311	5	p	p	NOUN
ejpam-3724	311	6	narayankar	narayankar	NOUN
ejpam-3724	311	7	and	and	CCONJ
ejpam-3724	311	8	d	d	ADP
ejpam-3724	311	9	selvan	selvan	NOUN
ejpam-3724	311	10	.	.	PUNCT
ejpam-3724	312	1	geometric	geometric	ADJ
ejpam-3724	312	2	arithmetic	arithmetic	ADJ
ejpam-3724	312	3	status	status	NOUN
ejpam-3724	312	4	index	index	NOUN
ejpam-3724	312	5	of	of	ADP
ejpam-3724	312	6	graphs	graph	NOUN
ejpam-3724	312	7	.	.	PUNCT
ejpam-3724	313	1	int	int	NOUN
ejpam-3724	313	2	.	.	PUNCT
ejpam-3724	314	1	j.	j.	PROPN
ejpam-3724	314	2	math	math	PROPN
ejpam-3724	314	3	.	.	PUNCT
ejpam-3724	315	1	arch	arch	PROPN
ejpam-3724	315	2	.	.	PUNCT
ejpam-3724	316	1	,	,	PUNCT
ejpam-3724	316	2	8:230–233	8:230–233	NUM
ejpam-3724	316	3	,	,	PUNCT
ejpam-3724	316	4	2017	2017	NUM
ejpam-3724	316	5	.	.	PUNCT
ejpam-3724	317	1	[	[	X
ejpam-3724	317	2	12	12	NUM
ejpam-3724	317	3	]	]	X
ejpam-3724	317	4	s	s	PART
ejpam-3724	317	5	nikolić	nikolić	ADJ
ejpam-3724	317	6	,	,	PUNCT
ejpam-3724	317	7	g	g	PROPN
ejpam-3724	317	8	kovac̆ević	kovac̆ević	PROPN
ejpam-3724	317	9	,	,	PUNCT
ejpam-3724	317	10	a	a	DET
ejpam-3724	317	11	milic̆ević	milic̆ević	PROPN
ejpam-3724	317	12	,	,	PUNCT
ejpam-3724	317	13	and	and	CCONJ
ejpam-3724	317	14	n	n	CCONJ
ejpam-3724	317	15	trinajstić.	trinajstić.	PROPN
ejpam-3724	317	16	the	the	DET
ejpam-3724	317	17	zagreb	zagreb	PROPN
ejpam-3724	317	18	indices	indice	VERB
ejpam-3724	317	19	30	30	NUM
ejpam-3724	317	20	years	year	NOUN
ejpam-3724	317	21	after	after	ADP
ejpam-3724	317	22	.	.	PUNCT
ejpam-3724	318	1	croat	croat	PROPN
ejpam-3724	318	2	.	.	PUNCT
ejpam-3724	319	1	chem	chem	PROPN
ejpam-3724	319	2	.	.	PUNCT
ejpam-3724	320	1	acta	acta	PROPN
ejpam-3724	320	2	,	,	PUNCT
ejpam-3724	320	3	76:113–124	76:113–124	PROPN
ejpam-3724	320	4	,	,	PUNCT
ejpam-3724	320	5	2003	2003	NUM
ejpam-3724	320	6	.	.	PUNCT
ejpam-3724	321	1	[	[	X
ejpam-3724	321	2	13	13	NUM
ejpam-3724	321	3	]	]	X
ejpam-3724	321	4	d	d	NOUN
ejpam-3724	321	5	plavi	plavi	NOUN
ejpam-3724	321	6	,	,	PUNCT
ejpam-3724	321	7	s	s	NOUN
ejpam-3724	321	8	nikoli	nikoli	NOUN
ejpam-3724	321	9	,	,	PUNCT
ejpam-3724	321	10	n	n	PRON
ejpam-3724	321	11	trinajsti	trinajsti	NOUN
ejpam-3724	321	12	,	,	PUNCT
ejpam-3724	321	13	and	and	CCONJ
ejpam-3724	321	14	z	z	PROPN
ejpam-3724	321	15	mihali	mihali	PROPN
ejpam-3724	321	16	.	.	PUNCT
ejpam-3724	322	1	on	on	ADP
ejpam-3724	322	2	the	the	DET
ejpam-3724	322	3	harary	harary	PROPN
ejpam-3724	322	4	index	index	NOUN
ejpam-3724	322	5	for	for	ADP
ejpam-3724	322	6	the	the	DET
ejpam-3724	322	7	characterization	characterization	NOUN
ejpam-3724	322	8	of	of	ADP
ejpam-3724	322	9	chemical	chemical	NOUN
ejpam-3724	322	10	graphs	graph	NOUN
ejpam-3724	322	11	.	.	PUNCT
ejpam-3724	323	1	j.	j.	PROPN
ejpam-3724	323	2	math	math	PROPN
ejpam-3724	323	3	.	.	PUNCT
ejpam-3724	324	1	chem	chem	PROPN
ejpam-3724	324	2	.	.	PUNCT
ejpam-3724	324	3	,	,	PUNCT
ejpam-3724	325	1	12:235–250	12:235–250	NUM
ejpam-3724	325	2	,	,	PUNCT
ejpam-3724	325	3	1993	1993	NUM
ejpam-3724	325	4	.	.	PUNCT
ejpam-3724	326	1	[	[	X
ejpam-3724	326	2	14	14	NUM
ejpam-3724	326	3	]	]	X
ejpam-3724	326	4	h	h	PROPN
ejpam-3724	326	5	s	s	PROPN
ejpam-3724	326	6	ramane	ramane	PROPN
ejpam-3724	326	7	and	and	CCONJ
ejpam-3724	326	8	s	s	PROPN
ejpam-3724	326	9	y	y	PROPN
ejpam-3724	326	10	talwar	talwar	PROPN
ejpam-3724	326	11	.	.	PUNCT
ejpam-3724	327	1	reciprocal	reciprocal	ADJ
ejpam-3724	327	2	transmission	transmission	NOUN
ejpam-3724	327	3	based	base	VERB
ejpam-3724	327	4	topological	topological	ADJ
ejpam-3724	327	5	indices	index	NOUN
ejpam-3724	327	6	of	of	ADP
ejpam-3724	327	7	graphs	graph	NOUN
ejpam-3724	327	8	and	and	CCONJ
ejpam-3724	327	9	its	its	PRON
ejpam-3724	327	10	applications	application	NOUN
ejpam-3724	327	11	in	in	ADP
ejpam-3724	327	12	chemistry	chemistry	NOUN
ejpam-3724	327	13	.	.	PUNCT
ejpam-3724	328	1	preprint	preprint	NOUN
ejpam-3724	328	2	.	.	PUNCT
ejpam-3724	329	1	[	[	X
ejpam-3724	329	2	15	15	NUM
ejpam-3724	329	3	]	]	X
ejpam-3724	329	4	h	h	PROPN
ejpam-3724	329	5	s	s	PROPN
ejpam-3724	329	6	ramane	ramane	PROPN
ejpam-3724	329	7	and	and	CCONJ
ejpam-3724	329	8	s	s	PROPN
ejpam-3724	329	9	y	y	PROPN
ejpam-3724	329	10	talwar	talwar	PROPN
ejpam-3724	329	11	.	.	PUNCT
ejpam-3724	330	1	transmission	transmission	NOUN
ejpam-3724	330	2	based	base	VERB
ejpam-3724	330	3	topological	topological	ADJ
ejpam-3724	330	4	indices	index	NOUN
ejpam-3724	330	5	of	of	ADP
ejpam-3724	330	6	graphs	graph	NOUN
ejpam-3724	330	7	and	and	CCONJ
ejpam-3724	330	8	its	its	PRON
ejpam-3724	330	9	regression	regression	NOUN
ejpam-3724	330	10	analysis	analysis	NOUN
ejpam-3724	330	11	with	with	ADP
ejpam-3724	330	12	some	some	DET
ejpam-3724	330	13	molecular	molecular	ADJ
ejpam-3724	330	14	properties	property	NOUN
ejpam-3724	330	15	.	.	PUNCT
ejpam-3724	331	1	preprint	preprint	NOUN
ejpam-3724	331	2	.	.	PUNCT
ejpam-3724	332	1	[	[	X
ejpam-3724	332	2	16	16	NUM
ejpam-3724	332	3	]	]	X
ejpam-3724	332	4	h	h	PROPN
ejpam-3724	332	5	s	s	PROPN
ejpam-3724	332	6	ramane	ramane	NOUN
ejpam-3724	332	7	and	and	CCONJ
ejpam-3724	332	8	a	a	DET
ejpam-3724	332	9	s	s	X
ejpam-3724	332	10	yalnaik	yalnaik	PROPN
ejpam-3724	332	11	.	.	PUNCT
ejpam-3724	333	1	status	status	NOUN
ejpam-3724	333	2	connectivity	connectivity	NOUN
ejpam-3724	333	3	indices	index	NOUN
ejpam-3724	333	4	of	of	ADP
ejpam-3724	333	5	graphs	graph	NOUN
ejpam-3724	333	6	and	and	CCONJ
ejpam-3724	333	7	its	its	PRON
ejpam-3724	333	8	applications	application	NOUN
ejpam-3724	333	9	to	to	ADP
ejpam-3724	333	10	the	the	DET
ejpam-3724	333	11	boiling	boiling	NOUN
ejpam-3724	333	12	point	point	NOUN
ejpam-3724	333	13	of	of	ADP
ejpam-3724	333	14	benzenoid	benzenoid	NOUN
ejpam-3724	333	15	hydrocarbons	hydrocarbon	NOUN
ejpam-3724	333	16	.	.	PUNCT
ejpam-3724	334	1	j.	j.	PROPN
ejpam-3724	334	2	appl	appl	PROPN
ejpam-3724	334	3	.	.	PROPN
ejpam-3724	334	4	math	math	PROPN
ejpam-3724	334	5	.	.	PUNCT
ejpam-3724	335	1	comput	comput	NOUN
ejpam-3724	335	2	.	.	PUNCT
ejpam-3724	335	3	,	,	PUNCT
ejpam-3724	336	1	55:609–627	55:609–627	PROPN
ejpam-3724	336	2	,	,	PUNCT
ejpam-3724	336	3	2017	2017	NUM
ejpam-3724	336	4	.	.	PUNCT
ejpam-3724	337	1	[	[	X
ejpam-3724	337	2	17	17	NUM
ejpam-3724	337	3	]	]	X
ejpam-3724	337	4	p	p	X
ejpam-3724	337	5	s	s	PROPN
ejpam-3724	337	6	ranjini	ranjini	NOUN
ejpam-3724	337	7	,	,	PUNCT
ejpam-3724	337	8	v	v	ADP
ejpam-3724	337	9	lokesha	lokesha	NOUN
ejpam-3724	337	10	,	,	PUNCT
ejpam-3724	337	11	and	and	CCONJ
ejpam-3724	337	12	i	i	PRON
ejpam-3724	337	13	n	n	PRON
ejpam-3724	337	14	cangul	cangul	VERB
ejpam-3724	337	15	.	.	PUNCT
ejpam-3724	338	1	on	on	ADP
ejpam-3724	338	2	the	the	DET
ejpam-3724	338	3	zagreb	zagreb	PROPN
ejpam-3724	338	4	indices	index	NOUN
ejpam-3724	338	5	of	of	ADP
ejpam-3724	338	6	the	the	DET
ejpam-3724	338	7	line	line	NOUN
ejpam-3724	338	8	graphs	graph	NOUN
ejpam-3724	338	9	of	of	ADP
ejpam-3724	338	10	the	the	DET
ejpam-3724	338	11	subdivision	subdivision	NOUN
ejpam-3724	338	12	graphs	graph	NOUN
ejpam-3724	338	13	.	.	PUNCT
ejpam-3724	339	1	applied	apply	VERB
ejpam-3724	339	2	mathematics	mathematic	NOUN
ejpam-3724	339	3	and	and	CCONJ
ejpam-3724	339	4	computation	computation	NOUN
ejpam-3724	339	5	,	,	PUNCT
ejpam-3724	339	6	218(3):699–702	218(3):699–702	NUM
ejpam-3724	339	7	,	,	PUNCT
ejpam-3724	339	8	2011	2011	NUM
ejpam-3724	339	9	.	.	PUNCT
ejpam-3724	340	1	[	[	X
ejpam-3724	340	2	18	18	NUM
ejpam-3724	340	3	]	]	X
ejpam-3724	340	4	p	p	X
ejpam-3724	340	5	sarkar	sarkar	NOUN
ejpam-3724	340	6	,	,	PUNCT
ejpam-3724	340	7	n	n	X
ejpam-3724	340	8	de	de	X
ejpam-3724	340	9	,	,	PUNCT
ejpam-3724	340	10	i	i	PRON
ejpam-3724	340	11	n	n	PRON
ejpam-3724	340	12	cangul	cangul	VERB
ejpam-3724	340	13	,	,	PUNCT
ejpam-3724	340	14	and	and	CCONJ
ejpam-3724	340	15	a	a	DET
ejpam-3724	340	16	pal	pal	NOUN
ejpam-3724	340	17	.	.	PUNCT
ejpam-3724	341	1	the	the	DET
ejpam-3724	341	2	(	(	PUNCT
ejpam-3724	341	3	a	a	PRON
ejpam-3724	341	4	,	,	PUNCT
ejpam-3724	341	5	b)-zagreb	b)-zagreb	NOUN
ejpam-3724	341	6	index	index	NOUN
ejpam-3724	341	7	of	of	ADP
ejpam-3724	341	8	some	some	DET
ejpam-3724	341	9	derived	derive	VERB
ejpam-3724	341	10	networks	network	NOUN
ejpam-3724	341	11	.	.	PUNCT
ejpam-3724	342	1	journal	journal	PROPN
ejpam-3724	342	2	of	of	ADP
ejpam-3724	342	3	taibah	taibah	PROPN
ejpam-3724	342	4	university	university	PROPN
ejpam-3724	342	5	for	for	ADP
ejpam-3724	342	6	science	science	NOUN
ejpam-3724	342	7	,	,	PUNCT
ejpam-3724	342	8	13(1):79–86	13(1):79–86	NUM
ejpam-3724	342	9	,	,	PUNCT
ejpam-3724	342	10	2019	2019	NUM
ejpam-3724	342	11	.	.	PUNCT
ejpam-3724	343	1	[	[	X
ejpam-3724	343	2	19	19	NUM
ejpam-3724	343	3	]	]	X
ejpam-3724	343	4	r	r	NOUN
ejpam-3724	343	5	sharafdini	sharafdini	NOUN
ejpam-3724	343	6	and	and	CCONJ
ejpam-3724	343	7	t	t	NOUN
ejpam-3724	343	8	reti	reti	NOUN
ejpam-3724	343	9	.	.	PUNCT
ejpam-3724	344	1	on	on	ADP
ejpam-3724	344	2	the	the	DET
ejpam-3724	344	3	transmission	transmission	NOUN
ejpam-3724	344	4	-	-	PUNCT
ejpam-3724	344	5	based	base	VERB
ejpam-3724	344	6	graph	graph	NOUN
ejpam-3724	344	7	topological	topological	ADJ
ejpam-3724	344	8	indices	index	NOUN
ejpam-3724	344	9	.	.	PUNCT
ejpam-3724	345	1	kragujevac	kragujevac	PROPN
ejpam-3724	345	2	j.	j.	PROPN
ejpam-3724	345	3	math	math	PROPN
ejpam-3724	345	4	.	.	PROPN
ejpam-3724	345	5	,	,	PUNCT
ejpam-3724	345	6	44:41–63	44:41–63	NUM
ejpam-3724	345	7	,	,	PUNCT
ejpam-3724	345	8	2020	2020	NUM
ejpam-3724	345	9	.	.	PUNCT
ejpam-3724	346	1	references	reference	NOUN
ejpam-3724	346	2	1071	1071	NUM
ejpam-3724	347	1	[	[	X
ejpam-3724	347	2	20	20	NUM
ejpam-3724	347	3	]	]	PUNCT
ejpam-3724	347	4	m	m	VERB
ejpam-3724	347	5	togan	togan	PROPN
ejpam-3724	347	6	,	,	PUNCT
ejpam-3724	347	7	a	a	DET
ejpam-3724	347	8	yurttas	yurtta	NOUN
ejpam-3724	347	9	,	,	PUNCT
ejpam-3724	347	10	and	and	CCONJ
ejpam-3724	347	11	i	i	PRON
ejpam-3724	347	12	n	n	PRON
ejpam-3724	347	13	cangul	cangul	VERB
ejpam-3724	347	14	.	.	PUNCT
ejpam-3724	348	1	all	all	DET
ejpam-3724	348	2	versions	version	NOUN
ejpam-3724	348	3	of	of	ADP
ejpam-3724	348	4	zagreb	zagreb	PROPN
ejpam-3724	348	5	indices	index	NOUN
ejpam-3724	348	6	and	and	CCONJ
ejpam-3724	348	7	coindices	coindice	NOUN
ejpam-3724	348	8	of	of	ADP
ejpam-3724	348	9	subdivision	subdivision	NOUN
ejpam-3724	348	10	graphs	graph	NOUN
ejpam-3724	348	11	of	of	ADP
ejpam-3724	348	12	certain	certain	ADJ
ejpam-3724	348	13	graph	graph	NOUN
ejpam-3724	348	14	types	type	NOUN
ejpam-3724	348	15	.	.	PUNCT
ejpam-3724	349	1	advanced	advanced	ADJ
ejpam-3724	349	2	studies	study	NOUN
ejpam-3724	349	3	in	in	ADP
ejpam-3724	349	4	contemporary	contemporary	ADJ
ejpam-3724	349	5	mathematics	mathematic	NOUN
ejpam-3724	349	6	,	,	PUNCT
ejpam-3724	349	7	26(1):227–236	26(1):227–236	PROPN
ejpam-3724	349	8	,	,	PUNCT
ejpam-3724	349	9	2016	2016	NUM
ejpam-3724	349	10	.	.	PUNCT
ejpam-3724	350	1	[	[	X
ejpam-3724	350	2	21	21	NUM
ejpam-3724	350	3	]	]	X
ejpam-3724	350	4	m	m	VERB
ejpam-3724	350	5	togan	togan	PROPN
ejpam-3724	350	6	,	,	PUNCT
ejpam-3724	350	7	a	a	DET
ejpam-3724	350	8	yurttas	yurtta	NOUN
ejpam-3724	350	9	,	,	PUNCT
ejpam-3724	350	10	and	and	CCONJ
ejpam-3724	350	11	i	i	PRON
ejpam-3724	350	12	n	n	PRON
ejpam-3724	350	13	cangul	cangul	VERB
ejpam-3724	350	14	.	.	PUNCT
ejpam-3724	351	1	zagreb	zagreb	PROPN
ejpam-3724	351	2	and	and	CCONJ
ejpam-3724	351	3	multiplicative	multiplicative	PROPN
ejpam-3724	351	4	zagreb	zagreb	PROPN
ejpam-3724	351	5	indices	index	NOUN
ejpam-3724	351	6	of	of	ADP
ejpam-3724	351	7	r	r	NOUN
ejpam-3724	351	8	-	-	PUNCT
ejpam-3724	351	9	subdivision	subdivision	NOUN
ejpam-3724	351	10	graphs	graph	NOUN
ejpam-3724	351	11	of	of	ADP
ejpam-3724	351	12	double	double	ADJ
ejpam-3724	351	13	graphs	graph	NOUN
ejpam-3724	351	14	.	.	PUNCT
ejpam-3724	352	1	scientia	scientia	PROPN
ejpam-3724	352	2	magna	magna	PROPN
ejpam-3724	352	3	,	,	PUNCT
ejpam-3724	352	4	12(1):115–119	12(1):115–119	PROPN
ejpam-3724	352	5	,	,	PUNCT
ejpam-3724	352	6	2017	2017	NUM
ejpam-3724	352	7	.	.	PUNCT
ejpam-3724	353	1	[	[	X
ejpam-3724	353	2	22	22	NUM
ejpam-3724	353	3	]	]	PUNCT
ejpam-3724	353	4	m	m	VERB
ejpam-3724	353	5	togan	togan	PROPN
ejpam-3724	353	6	,	,	PUNCT
ejpam-3724	353	7	a	a	DET
ejpam-3724	353	8	yurttas	yurtta	NOUN
ejpam-3724	353	9	,	,	PUNCT
ejpam-3724	353	10	and	and	CCONJ
ejpam-3724	353	11	i	i	PRON
ejpam-3724	353	12	n	n	PRON
ejpam-3724	353	13	cangul	cangul	VERB
ejpam-3724	353	14	.	.	PUNCT
ejpam-3724	354	1	inverse	inverse	ADJ
ejpam-3724	354	2	problem	problem	NOUN
ejpam-3724	354	3	for	for	ADP
ejpam-3724	354	4	the	the	DET
ejpam-3724	354	5	first	first	ADJ
ejpam-3724	354	6	entire	entire	ADJ
ejpam-3724	354	7	zagreb	zagreb	PROPN
ejpam-3724	354	8	index	index	PROPN
ejpam-3724	354	9	.	.	PUNCT
ejpam-3724	355	1	advanced	advanced	ADJ
ejpam-3724	355	2	studies	study	NOUN
ejpam-3724	355	3	in	in	ADP
ejpam-3724	355	4	contemporary	contemporary	ADJ
ejpam-3724	355	5	mathematics	mathematic	NOUN
ejpam-3724	355	6	,	,	PUNCT
ejpam-3724	355	7	29(2):161–169	29(2):161–169	PROPN
ejpam-3724	355	8	,	,	PUNCT
ejpam-3724	355	9	2019	2019	NUM
ejpam-3724	355	10	.	.	PUNCT
ejpam-3724	356	1	[	[	X
ejpam-3724	356	2	23	23	NUM
ejpam-3724	356	3	]	]	X
ejpam-3724	356	4	m	m	VERB
ejpam-3724	356	5	togan	togan	PROPN
ejpam-3724	356	6	,	,	PUNCT
ejpam-3724	356	7	a	a	DET
ejpam-3724	356	8	yurttas	yurtta	NOUN
ejpam-3724	356	9	,	,	PUNCT
ejpam-3724	356	10	a	a	DET
ejpam-3724	356	11	s	s	NOUN
ejpam-3724	356	12	cevik	cevik	NOUN
ejpam-3724	356	13	,	,	PUNCT
ejpam-3724	356	14	and	and	CCONJ
ejpam-3724	356	15	i	i	PRON
ejpam-3724	356	16	n	n	PRON
ejpam-3724	356	17	cangul	cangul	VERB
ejpam-3724	356	18	.	.	PUNCT
ejpam-3724	357	1	effect	effect	NOUN
ejpam-3724	357	2	of	of	ADP
ejpam-3724	357	3	edge	edge	NOUN
ejpam-3724	357	4	deletion	deletion	NOUN
ejpam-3724	357	5	and	and	CCONJ
ejpam-3724	357	6	addition	addition	NOUN
ejpam-3724	357	7	on	on	ADP
ejpam-3724	357	8	zagreb	zagreb	PROPN
ejpam-3724	357	9	indices	index	NOUN
ejpam-3724	357	10	of	of	ADP
ejpam-3724	357	11	graphs	graph	NOUN
ejpam-3724	357	12	.	.	PUNCT
ejpam-3724	358	1	in	in	ADP
ejpam-3724	358	2	:	:	PUNCT
ejpam-3724	358	3	ta	ta	PROPN
ejpam-3724	358	4	,	,	PUNCT
ejpam-3724	358	5	k.	k.	PROPN
ejpam-3724	358	6	,	,	PUNCT
ejpam-3724	358	7	baleanu	baleanu	PROPN
ejpam-3724	358	8	,	,	PUNCT
ejpam-3724	358	9	d.	d.	PROPN
ejpam-3724	358	10	,	,	PUNCT
ejpam-3724	358	11	machado	machado	PROPN
ejpam-3724	358	12	,	,	PUNCT
ejpam-3724	358	13	j.	j.	PROPN
ejpam-3724	358	14	(	(	PUNCT
ejpam-3724	358	15	eds	eds	PROPN
ejpam-3724	358	16	)	)	PUNCT
ejpam-3724	358	17	,	,	PUNCT
ejpam-3724	358	18	mathematical	mathematical	ADJ
ejpam-3724	358	19	methods	method	NOUN
ejpam-3724	358	20	in	in	ADP
ejpam-3724	358	21	engineering	engineering	NOUN
ejpam-3724	358	22	,	,	PUNCT
ejpam-3724	358	23	theoretical	theoretical	ADJ
ejpam-3724	358	24	aspects	aspect	NOUN
ejpam-3724	358	25	.	.	PUNCT
ejpam-3724	359	1	nonlinear	nonlinear	ADJ
ejpam-3724	359	2	systems	system	NOUN
ejpam-3724	359	3	and	and	CCONJ
ejpam-3724	359	4	complexity	complexity	NOUN
ejpam-3724	359	5	,	,	PUNCT
ejpam-3724	359	6	23:191–201	23:191–201	NUM
ejpam-3724	359	7	,	,	PUNCT
ejpam-3724	359	8	2019	2019	NUM
ejpam-3724	359	9	.	.	PUNCT
ejpam-3724	360	1	[	[	X
ejpam-3724	360	2	24	24	NUM
ejpam-3724	360	3	]	]	X
ejpam-3724	360	4	m	m	VERB
ejpam-3724	360	5	togan	togan	PROPN
ejpam-3724	360	6	,	,	PUNCT
ejpam-3724	360	7	a	a	DET
ejpam-3724	360	8	yurttas	yurtta	NOUN
ejpam-3724	360	9	,	,	PUNCT
ejpam-3724	360	10	a	a	DET
ejpam-3724	360	11	s	s	NOUN
ejpam-3724	360	12	cevik	cevik	NOUN
ejpam-3724	360	13	,	,	PUNCT
ejpam-3724	360	14	and	and	CCONJ
ejpam-3724	360	15	i	i	PRON
ejpam-3724	360	16	n	n	PRON
ejpam-3724	360	17	cangul	cangul	VERB
ejpam-3724	360	18	.	.	PUNCT
ejpam-3724	361	1	indices	index	NOUN
ejpam-3724	361	2	and	and	CCONJ
ejpam-3724	361	3	multiplicative	multiplicative	PROPN
ejpam-3724	361	4	zagreb	zagreb	PROPN
ejpam-3724	361	5	indices	index	NOUN
ejpam-3724	361	6	of	of	ADP
ejpam-3724	361	7	double	double	ADJ
ejpam-3724	361	8	graphs	graph	NOUN
ejpam-3724	361	9	of	of	ADP
ejpam-3724	361	10	subdivision	subdivision	NOUN
ejpam-3724	361	11	graphs	graph	NOUN
ejpam-3724	361	12	.	.	PUNCT
ejpam-3724	362	1	turkic	turkic	PROPN
ejpam-3724	362	2	world	world	PROPN
ejpam-3724	362	3	of	of	ADP
ejpam-3724	362	4	mathematical	mathematical	ADJ
ejpam-3724	362	5	society	society	NOUN
ejpam-3724	362	6	,	,	PUNCT
ejpam-3724	362	7	journal	journal	NOUN
ejpam-3724	362	8	of	of	ADP
ejpam-3724	362	9	applied	apply	VERB
ejpam-3724	362	10	and	and	CCONJ
ejpam-3724	362	11	engineering	engineering	NOUN
ejpam-3724	362	12	mathematics	mathematic	NOUN
ejpam-3724	362	13	,	,	PUNCT
ejpam-3724	362	14	9(2):404–412	9(2):404–412	PROPN
ejpam-3724	362	15	,	,	PUNCT
ejpam-3724	362	16	2019	2019	NUM
ejpam-3724	362	17	.	.	PUNCT
ejpam-3724	363	1	[	[	X
ejpam-3724	363	2	25	25	NUM
ejpam-3724	363	3	]	]	PUNCT
ejpam-3724	363	4	h	h	NOUN
ejpam-3724	363	5	wiener	wiener	NOUN
ejpam-3724	363	6	.	.	PUNCT
ejpam-3724	364	1	structural	structural	ADJ
ejpam-3724	364	2	determination	determination	NOUN
ejpam-3724	364	3	of	of	ADP
ejpam-3724	364	4	paraffin	paraffin	NOUN
ejpam-3724	364	5	boiling	boiling	NOUN
ejpam-3724	364	6	points	point	NOUN
ejpam-3724	364	7	.	.	PUNCT
ejpam-3724	365	1	j.	j.	PROPN
ejpam-3724	365	2	am	am	PROPN
ejpam-3724	365	3	.	.	PUNCT
ejpam-3724	366	1	chem	chem	NOUN
ejpam-3724	366	2	.	.	PUNCT
ejpam-3724	367	1	soc	soc	PROPN
ejpam-3724	367	2	.	.	PROPN
ejpam-3724	367	3	,	,	PUNCT
ejpam-3724	367	4	69:17–20	69:17–20	NUM
ejpam-3724	367	5	,	,	PUNCT
ejpam-3724	367	6	1947	1947	NUM
ejpam-3724	367	7	.	.	PUNCT
ejpam-3724	368	1	[	[	X
ejpam-3724	368	2	26	26	NUM
ejpam-3724	368	3	]	]	PUNCT
ejpam-3724	368	4	a	a	DET
ejpam-3724	368	5	yurttas	yurtta	NOUN
ejpam-3724	368	6	,	,	PUNCT
ejpam-3724	368	7	m	m	NOUN
ejpam-3724	368	8	togan	togan	ADJ
ejpam-3724	368	9	,	,	PUNCT
ejpam-3724	368	10	and	and	CCONJ
ejpam-3724	368	11	i	i	PRON
ejpam-3724	368	12	n	n	PRON
ejpam-3724	368	13	cangul	cangul	VERB
ejpam-3724	368	14	.	.	PUNCT
ejpam-3724	369	1	zagreb	zagreb	PROPN
ejpam-3724	369	2	indices	index	NOUN
ejpam-3724	369	3	and	and	CCONJ
ejpam-3724	369	4	multiplicative	multiplicative	PROPN
ejpam-3724	369	5	zagreb	zagreb	PROPN
ejpam-3724	369	6	indices	index	NOUN
ejpam-3724	369	7	of	of	ADP
ejpam-3724	369	8	subdivision	subdivision	NOUN
ejpam-3724	369	9	graphs	graph	NOUN
ejpam-3724	369	10	of	of	ADP
ejpam-3724	369	11	double	double	ADJ
ejpam-3724	369	12	graphs	graph	NOUN
ejpam-3724	369	13	.	.	PUNCT
ejpam-3724	370	1	advanced	advanced	ADJ
ejpam-3724	370	2	studies	study	NOUN
ejpam-3724	370	3	in	in	ADP
ejpam-3724	370	4	contemporary	contemporary	ADJ
ejpam-3724	370	5	mathematics	mathematics	PROPN
ejpam-3724	370	6	,	,	PUNCT
ejpam-3724	370	7	26(3):407–416	26(3):407–416	PROPN
ejpam-3724	370	8	,	,	PUNCT
ejpam-3724	370	9	2016	2016	NUM
ejpam-3724	370	10	.	.	PUNCT
ejpam-3724	371	1	[	[	X
ejpam-3724	371	2	27	27	NUM
ejpam-3724	371	3	]	]	X
ejpam-3724	371	4	a	a	DET
ejpam-3724	371	5	yurttas	yurtta	NOUN
ejpam-3724	371	6	,	,	PUNCT
ejpam-3724	371	7	m	m	NOUN
ejpam-3724	371	8	togan	togan	ADJ
ejpam-3724	371	9	,	,	PUNCT
ejpam-3724	371	10	and	and	CCONJ
ejpam-3724	371	11	i	i	PRON
ejpam-3724	371	12	n	n	PRON
ejpam-3724	371	13	cangul	cangul	VERB
ejpam-3724	371	14	.	.	PUNCT
ejpam-3724	372	1	zagreb	zagreb	PROPN
ejpam-3724	372	2	indices	index	NOUN
ejpam-3724	372	3	of	of	ADP
ejpam-3724	372	4	graphs	graph	NOUN
ejpam-3724	372	5	with	with	ADP
ejpam-3724	372	6	added	add	VERB
ejpam-3724	372	7	edges	edge	NOUN
ejpam-3724	372	8	.	.	PUNCT
ejpam-3724	373	1	proceedings	proceeding	NOUN
ejpam-3724	373	2	of	of	ADP
ejpam-3724	373	3	the	the	DET
ejpam-3724	373	4	jangjeon	jangjeon	PROPN
ejpam-3724	373	5	mathematical	mathematical	PROPN
ejpam-3724	373	6	society	society	NOUN
ejpam-3724	373	7	,	,	PUNCT
ejpam-3724	373	8	21(3):385–392	21(3):385–392	PROPN
ejpam-3724	373	9	,	,	PUNCT
ejpam-3724	373	10	2018	2018	NUM
ejpam-3724	373	11	.	.	PUNCT
ejpam-3724	374	1	[	[	X
ejpam-3724	374	2	28	28	NUM
ejpam-3724	374	3	]	]	X
ejpam-3724	374	4	a	a	DET
ejpam-3724	374	5	yurttas	yurtta	NOUN
ejpam-3724	374	6	,	,	PUNCT
ejpam-3724	374	7	m	m	VERB
ejpam-3724	374	8	togan	togan	NOUN
ejpam-3724	374	9	,	,	PUNCT
ejpam-3724	374	10	v	v	ADP
ejpam-3724	374	11	lokesha	lokesha	NOUN
ejpam-3724	374	12	,	,	PUNCT
ejpam-3724	374	13	i	i	PRON
ejpam-3724	374	14	n	n	PRON
ejpam-3724	374	15	cangul	cangul	VERB
ejpam-3724	374	16	,	,	PUNCT
ejpam-3724	374	17	and	and	CCONJ
ejpam-3724	374	18	i	i	PROPN
ejpam-3724	374	19	gutman	gutman	PROPN
ejpam-3724	374	20	.	.	PUNCT
ejpam-3724	375	1	inverse	inverse	PROPN
ejpam-3724	375	2	problem	problem	NOUN
ejpam-3724	375	3	for	for	ADP
ejpam-3724	375	4	zagreb	zagreb	PROPN
ejpam-3724	375	5	indices	index	NOUN
ejpam-3724	375	6	.	.	PUNCT
ejpam-3724	376	1	journal	journal	PROPN
ejpam-3724	376	2	of	of	ADP
ejpam-3724	376	3	mathematical	mathematical	ADJ
ejpam-3724	376	4	chemistry	chemistry	NOUN
ejpam-3724	376	5	,	,	PUNCT
ejpam-3724	376	6	57:609–615	57:609–615	PROPN
ejpam-3724	376	7	,	,	PUNCT
ejpam-3724	376	8	2019	2019	NUM
ejpam-3724	376	9	.	.	PUNCT