id	sid	tid	token	lemma	pos
ejpam-5383	1	1	european	european	PROPN
ejpam-5383	1	2	journal	journal	PROPN
ejpam-5383	1	3	of	of	ADP
ejpam-5383	1	4	pure	pure	ADJ
ejpam-5383	1	5	and	and	CCONJ
ejpam-5383	1	6	applied	apply	VERB
ejpam-5383	1	7	mathematics	mathematic	NOUN
ejpam-5383	1	8	vol	vol	NOUN
ejpam-5383	1	9	.	.	PROPN
ejpam-5383	2	1	17	17	NUM
ejpam-5383	2	2	,	,	PUNCT
ejpam-5383	2	3	no	no	INTJ
ejpam-5383	2	4	.	.	NOUN
ejpam-5383	2	5	4	4	NUM
ejpam-5383	2	6	,	,	PUNCT
ejpam-5383	2	7	2024	2024	NUM
ejpam-5383	2	8	,	,	PUNCT
ejpam-5383	2	9	2828	2828	NUM
ejpam-5383	2	10	-	-	SYM
ejpam-5383	2	11	2842	2842	NUM
ejpam-5383	2	12	issn	issn	PROPN
ejpam-5383	2	13	1307	1307	NUM
ejpam-5383	2	14	-	-	SYM
ejpam-5383	2	15	5543	5543	NUM
ejpam-5383	2	16	–	–	PUNCT
ejpam-5383	2	17	ejpam.com	ejpam.com	X
ejpam-5383	2	18	published	publish	VERB
ejpam-5383	2	19	by	by	ADP
ejpam-5383	2	20	new	new	PROPN
ejpam-5383	2	21	york	york	PROPN
ejpam-5383	2	22	business	business	PROPN
ejpam-5383	2	23	global	global	PROPN
ejpam-5383	2	24	local	local	ADJ
ejpam-5383	2	25	total	total	ADJ
ejpam-5383	2	26	antimagic	antimagic	ADJ
ejpam-5383	2	27	chromatic	chromatic	ADJ
ejpam-5383	2	28	number	number	NOUN
ejpam-5383	2	29	for	for	ADP
ejpam-5383	2	30	the	the	DET
ejpam-5383	2	31	disjoint	disjoint	PROPN
ejpam-5383	2	32	union	union	PROPN
ejpam-5383	2	33	of	of	ADP
ejpam-5383	2	34	star	star	NOUN
ejpam-5383	2	35	graphs	graph	NOUN
ejpam-5383	2	36	venkatesan	venkatesan	ADJ
ejpam-5383	2	37	sandhiya1	sandhiya1	NOUN
ejpam-5383	2	38	,	,	PUNCT
ejpam-5383	2	39	moviri	moviri	PROPN
ejpam-5383	2	40	chettiar	chettiar	PROPN
ejpam-5383	2	41	nalliah1,∗	nalliah1,∗	PROPN
ejpam-5383	2	42	1	1	PROPN
ejpam-5383	2	43	department	department	NOUN
ejpam-5383	2	44	of	of	ADP
ejpam-5383	2	45	mathematics	mathematic	NOUN
ejpam-5383	2	46	,	,	PUNCT
ejpam-5383	2	47	school	school	NOUN
ejpam-5383	2	48	of	of	ADP
ejpam-5383	2	49	advanced	advanced	ADJ
ejpam-5383	2	50	sciences	science	NOUN
ejpam-5383	2	51	,	,	PUNCT
ejpam-5383	2	52	vellore	vellore	PROPN
ejpam-5383	2	53	institute	institute	PROPN
ejpam-5383	2	54	of	of	ADP
ejpam-5383	2	55	technology	technology	PROPN
ejpam-5383	2	56	,	,	PUNCT
ejpam-5383	2	57	vellore	vellore	NOUN
ejpam-5383	2	58	,	,	PUNCT
ejpam-5383	2	59	tamil	tamil	PROPN
ejpam-5383	2	60	nadu	nadu	PROPN
ejpam-5383	2	61	,	,	PUNCT
ejpam-5383	2	62	india	india	PROPN
ejpam-5383	2	63	abstract	abstract	NOUN
ejpam-5383	2	64	.	.	PUNCT
ejpam-5383	3	1	let	let	VERB
ejpam-5383	3	2	g	g	PRON
ejpam-5383	3	3	be	be	AUX
ejpam-5383	3	4	a	a	DET
ejpam-5383	3	5	graph	graph	NOUN
ejpam-5383	3	6	with	with	ADP
ejpam-5383	3	7	n	n	ADP
ejpam-5383	3	8	vertices	vertex	NOUN
ejpam-5383	3	9	and	and	CCONJ
ejpam-5383	3	10	m	m	PRON
ejpam-5383	3	11	edges	edge	NOUN
ejpam-5383	3	12	without	without	ADP
ejpam-5383	3	13	isolated	isolated	ADJ
ejpam-5383	3	14	vertices	vertex	NOUN
ejpam-5383	3	15	.	.	PUNCT
ejpam-5383	4	1	a	a	DET
ejpam-5383	4	2	local	local	ADJ
ejpam-5383	4	3	total	total	ADJ
ejpam-5383	4	4	antimagic	antimagic	ADJ
ejpam-5383	4	5	labeling	labeling	NOUN
ejpam-5383	4	6	of	of	ADP
ejpam-5383	4	7	a	a	DET
ejpam-5383	4	8	graph	graph	NOUN
ejpam-5383	4	9	g	g	NOUN
ejpam-5383	4	10	is	be	AUX
ejpam-5383	4	11	defined	define	VERB
ejpam-5383	4	12	as	as	SCONJ
ejpam-5383	4	13	there	there	PRON
ejpam-5383	4	14	is	be	VERB
ejpam-5383	4	15	a	a	DET
ejpam-5383	4	16	bijection	bijection	ADJ
ejpam-5383	4	17	f	f	NOUN
ejpam-5383	4	18	from	from	ADP
ejpam-5383	4	19	the	the	DET
ejpam-5383	4	20	set	set	NOUN
ejpam-5383	4	21	v	v	NOUN
ejpam-5383	4	22	(	(	PUNCT
ejpam-5383	4	23	g	g	NOUN
ejpam-5383	4	24	)	)	PUNCT
ejpam-5383	4	25	∪	∪	ADP
ejpam-5383	4	26	e(g	e(g	PROPN
ejpam-5383	4	27	)	)	PUNCT
ejpam-5383	4	28	→	→	PUNCT
ejpam-5383	4	29	{	{	PUNCT
ejpam-5383	4	30	1	1	NUM
ejpam-5383	4	31	,	,	PUNCT
ejpam-5383	4	32	2	2	NUM
ejpam-5383	4	33	,	,	PUNCT
ejpam-5383	4	34	...	...	PUNCT
ejpam-5383	4	35	,	,	PUNCT
ejpam-5383	4	36	n	n	PROPN
ejpam-5383	4	37	+	+	CCONJ
ejpam-5383	4	38	m	m	VERB
ejpam-5383	4	39	}	}	PUNCT
ejpam-5383	4	40	,	,	PUNCT
ejpam-5383	4	41	such	such	ADJ
ejpam-5383	4	42	that	that	SCONJ
ejpam-5383	4	43	,	,	PUNCT
ejpam-5383	4	44	any	any	DET
ejpam-5383	4	45	two	two	NUM
ejpam-5383	4	46	adjacent	adjacent	ADJ
ejpam-5383	4	47	vertices	vertex	NOUN
ejpam-5383	4	48	,	,	PUNCT
ejpam-5383	4	49	any	any	DET
ejpam-5383	4	50	two	two	NUM
ejpam-5383	4	51	adjacent	adjacent	ADJ
ejpam-5383	4	52	edges	edge	NOUN
ejpam-5383	4	53	,	,	PUNCT
ejpam-5383	4	54	a	a	DET
ejpam-5383	4	55	vertex	vertex	NOUN
ejpam-5383	4	56	and	and	CCONJ
ejpam-5383	4	57	an	an	DET
ejpam-5383	4	58	edge	edge	NOUN
ejpam-5383	4	59	incident	incident	NOUN
ejpam-5383	4	60	to	to	ADP
ejpam-5383	4	61	the	the	DET
ejpam-5383	4	62	vertex	vertex	NOUN
ejpam-5383	4	63	does	do	AUX
ejpam-5383	4	64	not	not	PART
ejpam-5383	4	65	receive	receive	VERB
ejpam-5383	4	66	the	the	DET
ejpam-5383	4	67	same	same	ADJ
ejpam-5383	4	68	weight	weight	NOUN
ejpam-5383	4	69	.	.	PUNCT
ejpam-5383	5	1	the	the	DET
ejpam-5383	5	2	vertex	vertex	NOUN
ejpam-5383	5	3	weight	weight	NOUN
ejpam-5383	5	4	is	be	AUX
ejpam-5383	5	5	the	the	DET
ejpam-5383	5	6	sum	sum	NOUN
ejpam-5383	5	7	of	of	ADP
ejpam-5383	5	8	the	the	DET
ejpam-5383	5	9	edge	edge	NOUN
ejpam-5383	5	10	labels	label	NOUN
ejpam-5383	5	11	incident	incident	NOUN
ejpam-5383	5	12	to	to	ADP
ejpam-5383	5	13	that	that	DET
ejpam-5383	5	14	vertex	vertex	NOUN
ejpam-5383	5	15	and	and	CCONJ
ejpam-5383	5	16	the	the	DET
ejpam-5383	5	17	edge	edge	NOUN
ejpam-5383	5	18	weight	weight	NOUN
ejpam-5383	5	19	is	be	AUX
ejpam-5383	5	20	the	the	DET
ejpam-5383	5	21	sum	sum	NOUN
ejpam-5383	5	22	of	of	ADP
ejpam-5383	5	23	its	its	PRON
ejpam-5383	5	24	end	end	NOUN
ejpam-5383	5	25	vertex	vertex	NOUN
ejpam-5383	5	26	labels	label	NOUN
ejpam-5383	5	27	.	.	PUNCT
ejpam-5383	6	1	the	the	DET
ejpam-5383	6	2	local	local	ADJ
ejpam-5383	6	3	total	total	ADJ
ejpam-5383	6	4	antimagic	antimagic	ADJ
ejpam-5383	6	5	chromatic	chromatic	ADJ
ejpam-5383	6	6	number	number	NOUN
ejpam-5383	6	7	is	be	AUX
ejpam-5383	6	8	the	the	DET
ejpam-5383	6	9	minimum	minimum	ADJ
ejpam-5383	6	10	number	number	NOUN
ejpam-5383	6	11	of	of	ADP
ejpam-5383	6	12	colors	color	NOUN
ejpam-5383	6	13	taken	take	VERB
ejpam-5383	6	14	over	over	ADP
ejpam-5383	6	15	all	all	PRON
ejpam-5383	6	16	induced	induce	VERB
ejpam-5383	6	17	by	by	ADP
ejpam-5383	6	18	local	local	ADJ
ejpam-5383	6	19	total	total	ADJ
ejpam-5383	6	20	antimagic	antimagic	ADJ
ejpam-5383	6	21	colorings	coloring	NOUN
ejpam-5383	6	22	(	(	PUNCT
ejpam-5383	6	23	labelings	labeling	NOUN
ejpam-5383	6	24	)	)	PUNCT
ejpam-5383	6	25	of	of	ADP
ejpam-5383	6	26	g	g	NOUN
ejpam-5383	6	27	,	,	PUNCT
ejpam-5383	6	28	which	which	PRON
ejpam-5383	6	29	is	be	AUX
ejpam-5383	6	30	denoted	denote	VERB
ejpam-5383	6	31	by	by	ADP
ejpam-5383	6	32	χlt(g	χlt(g	NOUN
ejpam-5383	6	33	)	)	PUNCT
ejpam-5383	6	34	.	.	PUNCT
ejpam-5383	7	1	in	in	ADP
ejpam-5383	7	2	this	this	DET
ejpam-5383	7	3	paper	paper	NOUN
ejpam-5383	7	4	,	,	PUNCT
ejpam-5383	7	5	we	we	PRON
ejpam-5383	7	6	determine	determine	VERB
ejpam-5383	7	7	the	the	DET
ejpam-5383	7	8	local	local	ADJ
ejpam-5383	7	9	total	total	ADJ
ejpam-5383	7	10	antimagic	antimagic	ADJ
ejpam-5383	7	11	chromatic	chromatic	ADJ
ejpam-5383	7	12	number	number	NOUN
ejpam-5383	7	13	for	for	ADP
ejpam-5383	7	14	the	the	DET
ejpam-5383	7	15	disjoint	disjoint	PROPN
ejpam-5383	7	16	union	union	PROPN
ejpam-5383	7	17	of	of	ADP
ejpam-5383	7	18	star	star	NOUN
ejpam-5383	7	19	graphs	graph	NOUN
ejpam-5383	7	20	.	.	PUNCT
ejpam-5383	8	1	2020	2020	NUM
ejpam-5383	8	2	mathematics	mathematic	NOUN
ejpam-5383	8	3	subject	subject	NOUN
ejpam-5383	8	4	classifications	classification	NOUN
ejpam-5383	8	5	:	:	PUNCT
ejpam-5383	8	6	05c78	05c78	NUM
ejpam-5383	8	7	,	,	PUNCT
ejpam-5383	8	8	05c15	05c15	NOUN
ejpam-5383	8	9	key	key	ADJ
ejpam-5383	8	10	words	word	NOUN
ejpam-5383	8	11	and	and	CCONJ
ejpam-5383	8	12	phrases	phrase	NOUN
ejpam-5383	8	13	:	:	PUNCT
ejpam-5383	8	14	local	local	ADJ
ejpam-5383	8	15	antimagic	antimagic	ADJ
ejpam-5383	8	16	graphs	graph	NOUN
ejpam-5383	8	17	,	,	PUNCT
ejpam-5383	8	18	chromatic	chromatic	ADJ
ejpam-5383	8	19	number	number	NOUN
ejpam-5383	8	20	,	,	PUNCT
ejpam-5383	8	21	total	total	ADJ
ejpam-5383	8	22	coloring	coloring	NOUN
ejpam-5383	8	23	1	1	NUM
ejpam-5383	8	24	.	.	PUNCT
ejpam-5383	9	1	introduction	introduction	NOUN
ejpam-5383	9	2	let	let	VERB
ejpam-5383	9	3	g	g	NOUN
ejpam-5383	9	4	be	be	AUX
ejpam-5383	9	5	a	a	DET
ejpam-5383	9	6	graph	graph	NOUN
ejpam-5383	9	7	with	with	ADP
ejpam-5383	9	8	no	no	DET
ejpam-5383	9	9	isolated	isolated	ADJ
ejpam-5383	9	10	vertices	vertex	NOUN
ejpam-5383	9	11	,	,	PUNCT
ejpam-5383	9	12	neither	neither	CCONJ
ejpam-5383	9	13	multiple	multiple	ADJ
ejpam-5383	9	14	edges	edge	NOUN
ejpam-5383	9	15	nor	nor	CCONJ
ejpam-5383	9	16	loops	loop	NOUN
ejpam-5383	9	17	.	.	PUNCT
ejpam-5383	10	1	the	the	DET
ejpam-5383	10	2	set	set	NOUN
ejpam-5383	10	3	of	of	ADP
ejpam-5383	10	4	vertices	vertex	NOUN
ejpam-5383	10	5	and	and	CCONJ
ejpam-5383	10	6	edges	edge	NOUN
ejpam-5383	10	7	of	of	ADP
ejpam-5383	10	8	g(v	g(v	PROPN
ejpam-5383	10	9	,	,	PUNCT
ejpam-5383	10	10	e	e	NOUN
ejpam-5383	10	11	)	)	PUNCT
ejpam-5383	10	12	are	be	AUX
ejpam-5383	10	13	denoted	denote	VERB
ejpam-5383	10	14	by	by	ADP
ejpam-5383	10	15	v	v	NOUN
ejpam-5383	10	16	(	(	PUNCT
ejpam-5383	10	17	g	g	NOUN
ejpam-5383	10	18	)	)	PUNCT
ejpam-5383	10	19	and	and	CCONJ
ejpam-5383	10	20	e(g	e(g	PROPN
ejpam-5383	10	21	)	)	PUNCT
ejpam-5383	10	22	respectively	respectively	ADV
ejpam-5383	10	23	.	.	PUNCT
ejpam-5383	11	1	for	for	ADP
ejpam-5383	11	2	graph	graph	NOUN
ejpam-5383	11	3	theoretic	theoretic	ADJ
ejpam-5383	11	4	terminology	terminology	NOUN
ejpam-5383	11	5	,	,	PUNCT
ejpam-5383	11	6	we	we	PRON
ejpam-5383	11	7	refer	refer	VERB
ejpam-5383	11	8	to	to	ADP
ejpam-5383	11	9	chartrand	chartrand	NOUN
ejpam-5383	11	10	and	and	CCONJ
ejpam-5383	11	11	lesniak	lesniak	PRON
ejpam-5383	12	1	[	[	X
ejpam-5383	12	2	9	9	NUM
ejpam-5383	12	3	]	]	PUNCT
ejpam-5383	12	4	and	and	CCONJ
ejpam-5383	12	5	[	[	X
ejpam-5383	12	6	10	10	NUM
ejpam-5383	12	7	]	]	PUNCT
ejpam-5383	12	8	.	.	PUNCT
ejpam-5383	13	1	graph	graph	NOUN
ejpam-5383	13	2	coloring	coloring	NOUN
ejpam-5383	13	3	and	and	CCONJ
ejpam-5383	13	4	graph	graph	NOUN
ejpam-5383	13	5	labeling	labeling	NOUN
ejpam-5383	13	6	are	be	AUX
ejpam-5383	13	7	the	the	DET
ejpam-5383	13	8	significant	significant	ADJ
ejpam-5383	13	9	research	research	NOUN
ejpam-5383	13	10	areas	area	NOUN
ejpam-5383	13	11	in	in	ADP
ejpam-5383	13	12	graph	graph	NOUN
ejpam-5383	13	13	theory	theory	NOUN
ejpam-5383	13	14	.	.	PUNCT
ejpam-5383	14	1	the	the	DET
ejpam-5383	14	2	coloring	coloring	NOUN
ejpam-5383	14	3	of	of	ADP
ejpam-5383	14	4	a	a	DET
ejpam-5383	14	5	graph	graph	NOUN
ejpam-5383	14	6	g	g	NOUN
ejpam-5383	14	7	is	be	AUX
ejpam-5383	14	8	known	know	VERB
ejpam-5383	14	9	as	as	ADP
ejpam-5383	14	10	the	the	DET
ejpam-5383	14	11	assignment	assignment	NOUN
ejpam-5383	14	12	of	of	ADP
ejpam-5383	14	13	colors	color	NOUN
ejpam-5383	14	14	to	to	PART
ejpam-5383	14	15	vertices	vertex	NOUN
ejpam-5383	14	16	or	or	CCONJ
ejpam-5383	14	17	edges	edge	NOUN
ejpam-5383	14	18	or	or	CCONJ
ejpam-5383	14	19	both	both	PRON
ejpam-5383	14	20	is	be	AUX
ejpam-5383	14	21	called	call	VERB
ejpam-5383	14	22	as	as	ADP
ejpam-5383	14	23	vertex	vertex	NOUN
ejpam-5383	14	24	coloring	coloring	NOUN
ejpam-5383	14	25	or	or	CCONJ
ejpam-5383	14	26	edge	edge	NOUN
ejpam-5383	14	27	coloring	coloring	NOUN
ejpam-5383	14	28	or	or	CCONJ
ejpam-5383	14	29	total	total	ADJ
ejpam-5383	14	30	coloring	coloring	NOUN
ejpam-5383	14	31	.	.	PUNCT
ejpam-5383	15	1	in	in	ADP
ejpam-5383	15	2	this	this	DET
ejpam-5383	15	3	study	study	NOUN
ejpam-5383	15	4	,	,	PUNCT
ejpam-5383	15	5	we	we	PRON
ejpam-5383	15	6	consider	consider	VERB
ejpam-5383	15	7	the	the	DET
ejpam-5383	15	8	total	total	ADJ
ejpam-5383	15	9	coloring	coloring	NOUN
ejpam-5383	15	10	of	of	ADP
ejpam-5383	15	11	a	a	DET
ejpam-5383	15	12	graph	graph	NOUN
ejpam-5383	15	13	.	.	PUNCT
ejpam-5383	16	1	graph	graph	NOUN
ejpam-5383	16	2	coloring	coloring	NOUN
ejpam-5383	16	3	has	have	VERB
ejpam-5383	16	4	various	various	ADJ
ejpam-5383	16	5	applications	application	NOUN
ejpam-5383	16	6	in	in	ADP
ejpam-5383	16	7	network	network	NOUN
ejpam-5383	16	8	optimization	optimization	NOUN
ejpam-5383	16	9	and	and	CCONJ
ejpam-5383	16	10	scheduling	scheduling	NOUN
ejpam-5383	16	11	problems	problem	NOUN
ejpam-5383	16	12	.	.	PUNCT
ejpam-5383	17	1	total	total	ADJ
ejpam-5383	17	2	coloring	coloring	NOUN
ejpam-5383	17	3	,	,	PUNCT
ejpam-5383	17	4	being	be	AUX
ejpam-5383	17	5	a	a	DET
ejpam-5383	17	6	slight	slight	ADJ
ejpam-5383	17	7	variation	variation	NOUN
ejpam-5383	17	8	and	and	CCONJ
ejpam-5383	17	9	generalization	generalization	NOUN
ejpam-5383	17	10	of	of	ADP
ejpam-5383	17	11	the	the	DET
ejpam-5383	17	12	usual	usual	ADJ
ejpam-5383	17	13	vertex	vertex	NOUN
ejpam-5383	17	14	coloring	coloring	NOUN
ejpam-5383	17	15	.	.	PUNCT
ejpam-5383	18	1	the	the	DET
ejpam-5383	18	2	main	main	ADJ
ejpam-5383	18	3	application	application	NOUN
ejpam-5383	18	4	of	of	ADP
ejpam-5383	18	5	total	total	ADJ
ejpam-5383	18	6	coloring	coloring	NOUN
ejpam-5383	18	7	is	be	AUX
ejpam-5383	18	8	scheduling	schedule	VERB
ejpam-5383	18	9	trains	train	NOUN
ejpam-5383	18	10	in	in	ADP
ejpam-5383	18	11	a	a	DET
ejpam-5383	18	12	region	region	NOUN
ejpam-5383	18	13	which	which	PRON
ejpam-5383	18	14	has	have	VERB
ejpam-5383	18	15	high	high	ADJ
ejpam-5383	18	16	rail	rail	NOUN
ejpam-5383	18	17	traffic	traffic	NOUN
ejpam-5383	18	18	with	with	ADP
ejpam-5383	18	19	several	several	ADJ
ejpam-5383	18	20	interconnected	interconnected	ADJ
ejpam-5383	18	21	tracks	track	NOUN
ejpam-5383	18	22	,	,	PUNCT
ejpam-5383	18	23	and	and	CCONJ
ejpam-5383	18	24	the	the	DET
ejpam-5383	18	25	region	region	NOUN
ejpam-5383	18	26	between	between	ADP
ejpam-5383	18	27	two	two	NUM
ejpam-5383	18	28	stations	station	NOUN
ejpam-5383	18	29	either	either	CCONJ
ejpam-5383	18	30	consisting	consist	VERB
ejpam-5383	18	31	of	of	ADP
ejpam-5383	18	32	dense	dense	ADJ
ejpam-5383	18	33	forests	forest	NOUN
ejpam-5383	18	34	with	with	ADP
ejpam-5383	18	35	wild	wild	ADJ
ejpam-5383	18	36	animals	animal	NOUN
ejpam-5383	18	37	frequently	frequently	ADV
ejpam-5383	18	38	found	find	VERB
ejpam-5383	18	39	roaming	roam	VERB
ejpam-5383	18	40	on	on	ADP
ejpam-5383	18	41	tracks	track	NOUN
ejpam-5383	18	42	at	at	ADP
ejpam-5383	18	43	a	a	DET
ejpam-5383	18	44	specific	specific	ADJ
ejpam-5383	18	45	time	time	NOUN
ejpam-5383	18	46	,	,	PUNCT
ejpam-5383	18	47	or	or	CCONJ
ejpam-5383	18	48	unmanned	unmanned	ADJ
ejpam-5383	18	49	level	level	NOUN
ejpam-5383	18	50	-	-	PUNCT
ejpam-5383	18	51	crossing	crossing	NOUN
ejpam-5383	18	52	gates	gate	NOUN
ejpam-5383	18	53	with	with	ADP
ejpam-5383	18	54	peak	peak	NOUN
ejpam-5383	18	55	hour	hour	NOUN
ejpam-5383	18	56	traffic	traffic	NOUN
ejpam-5383	18	57	congestion	congestion	NOUN
ejpam-5383	18	58	problems	problem	NOUN
ejpam-5383	18	59	.	.	PUNCT
ejpam-5383	19	1	∗corresponding	∗corresponde	VERB
ejpam-5383	19	2	author	author	NOUN
ejpam-5383	19	3	.	.	PUNCT
ejpam-5383	20	1	doi	doi	NOUN
ejpam-5383	20	2	:	:	PUNCT
ejpam-5383	20	3	https://doi.org/10.29020/nybg.ejpam.v17i4.5383	https://doi.org/10.29020/nybg.ejpam.v17i4.5383	PROPN
ejpam-5383	20	4	email	email	NOUN
ejpam-5383	20	5	addresses	address	NOUN
ejpam-5383	20	6	:	:	PUNCT
ejpam-5383	20	7	vsandhiya5295@gmail.com	vsandhiya5295@gmail.com	X
ejpam-5383	20	8	(	(	PUNCT
ejpam-5383	20	9	v.	v.	ADP
ejpam-5383	20	10	sandhiya	sandhiya	PROPN
ejpam-5383	20	11	)	)	PUNCT
ejpam-5383	20	12	,	,	PUNCT
ejpam-5383	20	13	nalliah.moviri@vit.ac.in	nalliah.moviri@vit.ac.in	INTJ
ejpam-5383	20	14	(	(	PUNCT
ejpam-5383	20	15	m.	m.	NOUN
ejpam-5383	20	16	nalliah	nalliah	PROPN
ejpam-5383	20	17	)	)	PUNCT
ejpam-5383	20	18	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5383	21	1	2828	2828	NUM
ejpam-5383	21	2	copyright	copyright	NOUN
ejpam-5383	21	3	:	:	PUNCT
ejpam-5383	21	4	©	©	PROPN
ejpam-5383	21	5	2024	2024	NUM
ejpam-5383	21	6	the	the	DET
ejpam-5383	21	7	author(s	author(s	NOUN
ejpam-5383	21	8	)	)	PUNCT
ejpam-5383	21	9	.	.	PUNCT
ejpam-5383	22	1	(	(	PUNCT
ejpam-5383	22	2	cc	cc	NOUN
ejpam-5383	22	3	by	by	ADP
ejpam-5383	22	4	-	-	PUNCT
ejpam-5383	22	5	nc	nc	PROPN
ejpam-5383	22	6	4.0	4.0	NUM
ejpam-5383	22	7	)	)	PUNCT
ejpam-5383	22	8	v.	v.	ADP
ejpam-5383	22	9	sandhiya	sandhiya	PROPN
ejpam-5383	22	10	,	,	PUNCT
ejpam-5383	22	11	m.	m.	NOUN
ejpam-5383	22	12	nalliah	nalliah	PROPN
ejpam-5383	22	13	/	/	SYM
ejpam-5383	22	14	eur	eur	PROPN
ejpam-5383	22	15	.	.	PUNCT
ejpam-5383	23	1	j.	j.	PROPN
ejpam-5383	23	2	pure	pure	PROPN
ejpam-5383	23	3	appl	appl	PROPN
ejpam-5383	23	4	.	.	PROPN
ejpam-5383	23	5	math	math	PROPN
ejpam-5383	23	6	,	,	PUNCT
ejpam-5383	23	7	17	17	NUM
ejpam-5383	23	8	(	(	PUNCT
ejpam-5383	23	9	4	4	NUM
ejpam-5383	23	10	)	)	PUNCT
ejpam-5383	23	11	(	(	PUNCT
ejpam-5383	23	12	2024	2024	NUM
ejpam-5383	23	13	)	)	PUNCT
ejpam-5383	23	14	,	,	PUNCT
ejpam-5383	23	15	2828	2828	NUM
ejpam-5383	23	16	-	-	SYM
ejpam-5383	23	17	2842	2842	NUM
ejpam-5383	23	18	2829	2829	NUM
ejpam-5383	23	19	in	in	ADP
ejpam-5383	23	20	order	order	NOUN
ejpam-5383	23	21	to	to	PART
ejpam-5383	23	22	schedule	schedule	VERB
ejpam-5383	23	23	the	the	DET
ejpam-5383	23	24	appropriate	appropriate	ADJ
ejpam-5383	23	25	train	train	NOUN
ejpam-5383	23	26	timetables	timetable	NOUN
ejpam-5383	24	1	,	,	PUNCT
ejpam-5383	24	2	one	one	PRON
ejpam-5383	24	3	can	can	AUX
ejpam-5383	24	4	use	use	VERB
ejpam-5383	24	5	the	the	DET
ejpam-5383	24	6	total	total	ADJ
ejpam-5383	24	7	coloring	coloring	NOUN
ejpam-5383	24	8	of	of	ADP
ejpam-5383	24	9	the	the	DET
ejpam-5383	24	10	rail	rail	NOUN
ejpam-5383	24	11	network	network	NOUN
ejpam-5383	24	12	graph	graph	NOUN
ejpam-5383	24	13	,	,	PUNCT
ejpam-5383	24	14	where	where	SCONJ
ejpam-5383	24	15	the	the	DET
ejpam-5383	24	16	train	train	NOUN
ejpam-5383	24	17	stations	station	NOUN
ejpam-5383	24	18	are	be	AUX
ejpam-5383	24	19	vertices	vertex	NOUN
ejpam-5383	24	20	of	of	ADP
ejpam-5383	24	21	the	the	DET
ejpam-5383	24	22	graph	graph	NOUN
ejpam-5383	24	23	and	and	CCONJ
ejpam-5383	24	24	the	the	DET
ejpam-5383	24	25	connecting	connect	VERB
ejpam-5383	24	26	tracks	track	NOUN
ejpam-5383	24	27	form	form	VERB
ejpam-5383	24	28	the	the	DET
ejpam-5383	24	29	edges	edge	NOUN
ejpam-5383	24	30	.	.	PUNCT
ejpam-5383	25	1	the	the	DET
ejpam-5383	25	2	scheduling	scheduling	NOUN
ejpam-5383	25	3	involving	involve	VERB
ejpam-5383	25	4	multi	multi	NOUN
ejpam-5383	25	5	-	-	ADJ
ejpam-5383	25	6	factors	factor	NOUN
ejpam-5383	25	7	can	can	AUX
ejpam-5383	25	8	be	be	AUX
ejpam-5383	25	9	devised	devise	VERB
ejpam-5383	25	10	using	use	VERB
ejpam-5383	25	11	total	total	ADJ
ejpam-5383	25	12	coloring	coloring	NOUN
ejpam-5383	25	13	.	.	PUNCT
ejpam-5383	26	1	the	the	DET
ejpam-5383	26	2	advancement	advancement	NOUN
ejpam-5383	26	3	in	in	ADP
ejpam-5383	26	4	signal	signal	NOUN
ejpam-5383	26	5	processing	processing	NOUN
ejpam-5383	26	6	and	and	CCONJ
ejpam-5383	26	7	control	control	NOUN
ejpam-5383	26	8	systems	system	NOUN
ejpam-5383	26	9	using	use	VERB
ejpam-5383	26	10	z	z	PROPN
ejpam-5383	26	11	and	and	CCONJ
ejpam-5383	26	12	ltransforms	ltransform	NOUN
ejpam-5383	26	13	are	be	AUX
ejpam-5383	26	14	given	give	VERB
ejpam-5383	26	15	in	in	ADP
ejpam-5383	26	16	[	[	PUNCT
ejpam-5383	26	17	13	13	NUM
ejpam-5383	26	18	]	]	PUNCT
ejpam-5383	26	19	.	.	PUNCT
ejpam-5383	27	1	definition	definition	NOUN
ejpam-5383	27	2	1	1	NUM
ejpam-5383	27	3	.	.	PUNCT
ejpam-5383	28	1	[	[	X
ejpam-5383	28	2	39	39	NUM
ejpam-5383	28	3	]	]	PUNCT
ejpam-5383	28	4	the	the	DET
ejpam-5383	28	5	total	total	ADJ
ejpam-5383	28	6	coloring	coloring	NOUN
ejpam-5383	28	7	of	of	ADP
ejpam-5383	28	8	g	g	PROPN
ejpam-5383	28	9	is	be	AUX
ejpam-5383	28	10	defined	define	VERB
ejpam-5383	28	11	as	as	ADP
ejpam-5383	28	12	a	a	DET
ejpam-5383	28	13	map	map	NOUN
ejpam-5383	28	14	f	f	X
ejpam-5383	28	15	:	:	PUNCT
ejpam-5383	28	16	v	v	NOUN
ejpam-5383	28	17	(	(	PUNCT
ejpam-5383	28	18	g	g	NOUN
ejpam-5383	28	19	)	)	PUNCT
ejpam-5383	28	20	∪	∪	ADP
ejpam-5383	28	21	e(g	e(g	PROPN
ejpam-5383	28	22	)	)	PUNCT
ejpam-5383	28	23	→	→	PUNCT
ejpam-5383	28	24	k	k	X
ejpam-5383	28	25	,	,	PUNCT
ejpam-5383	28	26	where	where	SCONJ
ejpam-5383	28	27	k	k	PROPN
ejpam-5383	28	28	is	be	AUX
ejpam-5383	28	29	a	a	DET
ejpam-5383	28	30	set	set	NOUN
ejpam-5383	28	31	of	of	ADP
ejpam-5383	28	32	colors	color	NOUN
ejpam-5383	28	33	,	,	PUNCT
ejpam-5383	28	34	satisfying	satisfy	VERB
ejpam-5383	28	35	the	the	DET
ejpam-5383	28	36	following	follow	VERB
ejpam-5383	28	37	three	three	NUM
ejpam-5383	28	38	conditions	condition	NOUN
ejpam-5383	28	39	:	:	PUNCT
ejpam-5383	28	40	(	(	PUNCT
ejpam-5383	28	41	i	i	NOUN
ejpam-5383	28	42	)	)	PUNCT
ejpam-5383	28	43	f(u	f(u	PROPN
ejpam-5383	28	44	)	)	PUNCT
ejpam-5383	28	45	̸=	̸=	PROPN
ejpam-5383	28	46	f(v	f(v	NOUN
ejpam-5383	28	47	)	)	PUNCT
ejpam-5383	28	48	for	for	ADP
ejpam-5383	28	49	any	any	DET
ejpam-5383	28	50	two	two	NUM
ejpam-5383	28	51	adjacent	adjacent	ADJ
ejpam-5383	28	52	vertices	vertex	NOUN
ejpam-5383	28	53	u	u	NOUN
ejpam-5383	28	54	,	,	PUNCT
ejpam-5383	29	1	v	v	NOUN
ejpam-5383	29	2	∈	∈	PROPN
ejpam-5383	29	3	v	v	NOUN
ejpam-5383	29	4	(	(	PUNCT
ejpam-5383	29	5	g	g	NOUN
ejpam-5383	29	6	)	)	PUNCT
ejpam-5383	29	7	;	;	PUNCT
ejpam-5383	29	8	(	(	PUNCT
ejpam-5383	29	9	ii	ii	NOUN
ejpam-5383	29	10	)	)	PUNCT
ejpam-5383	29	11	f(e	f(e	PROPN
ejpam-5383	29	12	)	)	PUNCT
ejpam-5383	29	13	̸=	̸=	PROPN
ejpam-5383	29	14	f(e′	f(e′	NOUN
ejpam-5383	29	15	)	)	PUNCT
ejpam-5383	29	16	for	for	ADP
ejpam-5383	29	17	any	any	DET
ejpam-5383	29	18	two	two	NUM
ejpam-5383	29	19	adjacent	adjacent	ADJ
ejpam-5383	29	20	edges	edge	NOUN
ejpam-5383	29	21	e	e	NOUN
ejpam-5383	29	22	,	,	PUNCT
ejpam-5383	29	23	e′	e′	PROPN
ejpam-5383	29	24	∈	∈	PROPN
ejpam-5383	29	25	e(g	e(g	PROPN
ejpam-5383	29	26	)	)	PUNCT
ejpam-5383	29	27	;	;	PUNCT
ejpam-5383	29	28	and	and	CCONJ
ejpam-5383	29	29	(	(	PUNCT
ejpam-5383	29	30	iii	iii	NOUN
ejpam-5383	29	31	)	)	PUNCT
ejpam-5383	29	32	f(v	f(v	NOUN
ejpam-5383	29	33	)	)	PUNCT
ejpam-5383	29	34	̸=	̸=	PROPN
ejpam-5383	29	35	f(e	f(e	PROPN
ejpam-5383	29	36	)	)	PUNCT
ejpam-5383	29	37	for	for	ADP
ejpam-5383	29	38	any	any	DET
ejpam-5383	29	39	vertex	vertex	NOUN
ejpam-5383	29	40	v	v	ADP
ejpam-5383	29	41	∈	∈	NOUN
ejpam-5383	29	42	v	v	NOUN
ejpam-5383	29	43	(	(	PUNCT
ejpam-5383	29	44	g	g	NOUN
ejpam-5383	29	45	)	)	PUNCT
ejpam-5383	29	46	and	and	CCONJ
ejpam-5383	29	47	an	an	DET
ejpam-5383	29	48	incident	incident	NOUN
ejpam-5383	29	49	edge	edge	NOUN
ejpam-5383	29	50	e	e	NOUN
ejpam-5383	29	51	=	=	SYM
ejpam-5383	29	52	vx	vx	PROPN
ejpam-5383	29	53	.	.	PUNCT
ejpam-5383	30	1	the	the	DET
ejpam-5383	30	2	minimum	minimum	ADJ
ejpam-5383	30	3	number	number	NOUN
ejpam-5383	30	4	of	of	ADP
ejpam-5383	30	5	colors	color	NOUN
ejpam-5383	30	6	used	use	VERB
ejpam-5383	30	7	in	in	ADP
ejpam-5383	30	8	any	any	DET
ejpam-5383	30	9	total	total	ADJ
ejpam-5383	30	10	coloring	coloring	NOUN
ejpam-5383	30	11	of	of	ADP
ejpam-5383	30	12	g	g	PROPN
ejpam-5383	30	13	is	be	AUX
ejpam-5383	30	14	called	call	VERB
ejpam-5383	30	15	the	the	DET
ejpam-5383	30	16	total	total	ADJ
ejpam-5383	30	17	chromatic	chromatic	ADJ
ejpam-5383	30	18	number	number	NOUN
ejpam-5383	30	19	χt(g	χt(g	NUM
ejpam-5383	30	20	)	)	PUNCT
ejpam-5383	30	21	.	.	PUNCT
ejpam-5383	31	1	a	a	DET
ejpam-5383	31	2	trivial	trivial	ADJ
ejpam-5383	31	3	lower	lower	ADV
ejpam-5383	31	4	bound	bind	VERB
ejpam-5383	31	5	for	for	ADP
ejpam-5383	31	6	total	total	ADJ
ejpam-5383	31	7	chromatic	chromatic	ADJ
ejpam-5383	31	8	number	number	NOUN
ejpam-5383	31	9	is	be	AUX
ejpam-5383	31	10	maximum	maximum	ADJ
ejpam-5383	31	11	degree	degree	NOUN
ejpam-5383	31	12	of	of	ADP
ejpam-5383	31	13	the	the	DET
ejpam-5383	31	14	graph	graph	NOUN
ejpam-5383	31	15	g	g	PROPN
ejpam-5383	31	16	plus	plus	CCONJ
ejpam-5383	31	17	one	one	NUM
ejpam-5383	31	18	.	.	PUNCT
ejpam-5383	32	1	behzad	behzad	PROPN
ejpam-5383	33	1	[	[	X
ejpam-5383	33	2	8	8	NUM
ejpam-5383	33	3	]	]	PUNCT
ejpam-5383	33	4	and	and	CCONJ
ejpam-5383	33	5	vizing	vize	VERB
ejpam-5383	34	1	[	[	X
ejpam-5383	34	2	38	38	NUM
ejpam-5383	34	3	]	]	PUNCT
ejpam-5383	34	4	posed	pose	VERB
ejpam-5383	34	5	the	the	DET
ejpam-5383	34	6	conjecture	conjecture	NOUN
ejpam-5383	34	7	independently	independently	ADV
ejpam-5383	34	8	that	that	SCONJ
ejpam-5383	34	9	,	,	PUNCT
ejpam-5383	34	10	for	for	ADP
ejpam-5383	34	11	any	any	DET
ejpam-5383	34	12	graph	graph	NOUN
ejpam-5383	34	13	g	g	NOUN
ejpam-5383	34	14	,	,	PUNCT
ejpam-5383	34	15	χt(g	χt(g	PUNCT
ejpam-5383	34	16	)	)	PUNCT
ejpam-5383	34	17	≤	≤	NUM
ejpam-5383	34	18	∆(g	∆(g	NOUN
ejpam-5383	34	19	)	)	PUNCT
ejpam-5383	34	20	+	+	NOUN
ejpam-5383	34	21	2	2	X
ejpam-5383	34	22	.	.	X
ejpam-5383	34	23	this	this	DET
ejpam-5383	34	24	lower	low	ADJ
ejpam-5383	34	25	and	and	CCONJ
ejpam-5383	34	26	upper	upper	ADJ
ejpam-5383	34	27	bounds	bound	NOUN
ejpam-5383	34	28	leads	lead	VERB
ejpam-5383	34	29	to	to	ADP
ejpam-5383	34	30	every	every	DET
ejpam-5383	34	31	graph	graph	NOUN
ejpam-5383	34	32	g	g	PROPN
ejpam-5383	34	33	has	have	VERB
ejpam-5383	34	34	∆(g	∆(g	NOUN
ejpam-5383	34	35	)	)	PUNCT
ejpam-5383	35	1	+	+	CCONJ
ejpam-5383	35	2	1	1	NUM
ejpam-5383	35	3	≤	≤	NUM
ejpam-5383	35	4	χt(g	χt(g	NOUN
ejpam-5383	35	5	)	)	PUNCT
ejpam-5383	35	6	≤	≤	NUM
ejpam-5383	35	7	∆(g	∆(g	NOUN
ejpam-5383	35	8	)	)	PUNCT
ejpam-5383	36	1	+	+	NOUN
ejpam-5383	36	2	2	2	X
ejpam-5383	36	3	.	.	X
ejpam-5383	36	4	a	a	DET
ejpam-5383	36	5	graph	graph	NOUN
ejpam-5383	36	6	labeling	labeling	NOUN
ejpam-5383	36	7	is	be	AUX
ejpam-5383	36	8	an	an	DET
ejpam-5383	36	9	assignment	assignment	NOUN
ejpam-5383	36	10	of	of	ADP
ejpam-5383	36	11	integers	integer	NOUN
ejpam-5383	36	12	to	to	ADP
ejpam-5383	36	13	the	the	DET
ejpam-5383	36	14	vertices	vertex	NOUN
ejpam-5383	36	15	or	or	CCONJ
ejpam-5383	36	16	edges	edge	NOUN
ejpam-5383	36	17	or	or	CCONJ
ejpam-5383	36	18	both	both	PRON
ejpam-5383	36	19	,	,	PUNCT
ejpam-5383	36	20	subject	subject	ADJ
ejpam-5383	36	21	to	to	ADP
ejpam-5383	36	22	certain	certain	ADJ
ejpam-5383	36	23	conditions	condition	NOUN
ejpam-5383	36	24	.	.	PUNCT
ejpam-5383	37	1	to	to	PART
ejpam-5383	37	2	learn	learn	VERB
ejpam-5383	37	3	more	more	ADJ
ejpam-5383	37	4	about	about	ADP
ejpam-5383	37	5	graph	graph	NOUN
ejpam-5383	37	6	labeling	labeling	NOUN
ejpam-5383	37	7	we	we	PRON
ejpam-5383	37	8	refer	refer	VERB
ejpam-5383	37	9	gallian	gallian	ADJ
ejpam-5383	37	10	’s	’s	PART
ejpam-5383	37	11	[	[	X
ejpam-5383	37	12	12	12	NUM
ejpam-5383	37	13	]	]	PUNCT
ejpam-5383	37	14	survey	survey	NOUN
ejpam-5383	37	15	of	of	ADP
ejpam-5383	37	16	graph	graph	NOUN
ejpam-5383	37	17	labeling	labeling	NOUN
ejpam-5383	37	18	.	.	PUNCT
ejpam-5383	38	1	graph	graph	NOUN
ejpam-5383	38	2	labeling	labeling	NOUN
ejpam-5383	38	3	have	have	AUX
ejpam-5383	38	4	been	be	AUX
ejpam-5383	38	5	motivated	motivate	VERB
ejpam-5383	38	6	by	by	ADP
ejpam-5383	38	7	practical	practical	ADJ
ejpam-5383	38	8	problems	problem	NOUN
ejpam-5383	38	9	,	,	PUNCT
ejpam-5383	38	10	labeled	label	VERB
ejpam-5383	38	11	graphs	graph	NOUN
ejpam-5383	38	12	serve	serve	VERB
ejpam-5383	38	13	useful	useful	ADJ
ejpam-5383	38	14	mathematical	mathematical	ADJ
ejpam-5383	38	15	models	model	NOUN
ejpam-5383	38	16	for	for	ADP
ejpam-5383	38	17	a	a	DET
ejpam-5383	38	18	broad	broad	ADJ
ejpam-5383	38	19	range	range	NOUN
ejpam-5383	38	20	of	of	ADP
ejpam-5383	38	21	applications	application	NOUN
ejpam-5383	38	22	such	such	ADJ
ejpam-5383	38	23	as	as	ADP
ejpam-5383	38	24	:	:	PUNCT
ejpam-5383	38	25	coding	code	VERB
ejpam-5383	38	26	theory	theory	NOUN
ejpam-5383	38	27	,	,	PUNCT
ejpam-5383	38	28	including	include	VERB
ejpam-5383	38	29	the	the	DET
ejpam-5383	38	30	design	design	NOUN
ejpam-5383	38	31	of	of	ADP
ejpam-5383	38	32	good	good	ADJ
ejpam-5383	38	33	types	type	NOUN
ejpam-5383	38	34	codes	code	NOUN
ejpam-5383	38	35	,	,	PUNCT
ejpam-5383	38	36	synch	synch	NOUN
ejpam-5383	38	37	-	-	PUNCT
ejpam-5383	38	38	set	set	VERB
ejpam-5383	38	39	codes	code	NOUN
ejpam-5383	38	40	,	,	PUNCT
ejpam-5383	38	41	missile	missile	NOUN
ejpam-5383	38	42	guidance	guidance	NOUN
ejpam-5383	38	43	codes	code	NOUN
ejpam-5383	38	44	and	and	CCONJ
ejpam-5383	38	45	convolutional	convolutional	ADJ
ejpam-5383	38	46	codes	code	NOUN
ejpam-5383	38	47	with	with	ADP
ejpam-5383	38	48	optimal	optimal	ADJ
ejpam-5383	38	49	auto	auto	NOUN
ejpam-5383	38	50	correlation	correlation	NOUN
ejpam-5383	38	51	properties	property	NOUN
ejpam-5383	38	52	.	.	PUNCT
ejpam-5383	39	1	the	the	DET
ejpam-5383	39	2	idea	idea	NOUN
ejpam-5383	39	3	of	of	ADP
ejpam-5383	39	4	an	an	DET
ejpam-5383	39	5	antimagic	antimagic	ADJ
ejpam-5383	39	6	labeling	labeling	NOUN
ejpam-5383	39	7	of	of	ADP
ejpam-5383	39	8	a	a	DET
ejpam-5383	39	9	graph	graph	NOUN
ejpam-5383	39	10	were	be	AUX
ejpam-5383	39	11	proposed	propose	VERB
ejpam-5383	39	12	by	by	ADP
ejpam-5383	39	13	hartsfield	hartsfield	PROPN
ejpam-5383	39	14	and	and	CCONJ
ejpam-5383	39	15	ringel	ringel	NOUN
ejpam-5383	39	16	[	[	X
ejpam-5383	39	17	11	11	NUM
ejpam-5383	39	18	]	]	PUNCT
ejpam-5383	39	19	.	.	PUNCT
ejpam-5383	40	1	definition	definition	NOUN
ejpam-5383	40	2	2	2	NUM
ejpam-5383	40	3	.	.	PUNCT
ejpam-5383	41	1	[	[	X
ejpam-5383	41	2	11	11	NUM
ejpam-5383	41	3	]	]	PUNCT
ejpam-5383	41	4	a	a	DET
ejpam-5383	41	5	bijection	bijection	NOUN
ejpam-5383	41	6	f	f	X
ejpam-5383	41	7	:	:	PUNCT
ejpam-5383	41	8	e	e	X
ejpam-5383	41	9	→	→	PUNCT
ejpam-5383	41	10	{	{	PUNCT
ejpam-5383	41	11	1	1	NUM
ejpam-5383	41	12	,	,	PUNCT
ejpam-5383	41	13	2	2	NUM
ejpam-5383	41	14	,	,	PUNCT
ejpam-5383	41	15	3	3	NUM
ejpam-5383	41	16	,	,	PUNCT
ejpam-5383	41	17	...	...	PUNCT
ejpam-5383	41	18	,	,	PUNCT
ejpam-5383	41	19	|e|	|e|	PRON
ejpam-5383	41	20	}	}	PUNCT
ejpam-5383	41	21	is	be	AUX
ejpam-5383	41	22	called	call	VERB
ejpam-5383	41	23	an	an	DET
ejpam-5383	41	24	antimagic	antimagic	ADJ
ejpam-5383	41	25	labeling	labeling	NOUN
ejpam-5383	41	26	of	of	ADP
ejpam-5383	41	27	g	g	NOUN
ejpam-5383	41	28	,	,	PUNCT
ejpam-5383	41	29	if	if	SCONJ
ejpam-5383	41	30	w(u	w(u	NOUN
ejpam-5383	41	31	)	)	PUNCT
ejpam-5383	41	32	̸=	̸=	PROPN
ejpam-5383	41	33	w(v	w(v	PROPN
ejpam-5383	41	34	)	)	PUNCT
ejpam-5383	41	35	for	for	ADP
ejpam-5383	41	36	any	any	DET
ejpam-5383	41	37	two	two	NUM
ejpam-5383	41	38	distinct	distinct	ADJ
ejpam-5383	41	39	vertices	vertex	NOUN
ejpam-5383	41	40	u	u	NOUN
ejpam-5383	41	41	,	,	PUNCT
ejpam-5383	41	42	v	v	NOUN
ejpam-5383	41	43	∈	∈	PROPN
ejpam-5383	41	44	v	v	NOUN
ejpam-5383	41	45	(	(	PUNCT
ejpam-5383	41	46	g	g	NOUN
ejpam-5383	41	47	)	)	PUNCT
ejpam-5383	41	48	.	.	PUNCT
ejpam-5383	42	1	the	the	DET
ejpam-5383	42	2	weight	weight	NOUN
ejpam-5383	42	3	of	of	ADP
ejpam-5383	42	4	the	the	DET
ejpam-5383	42	5	vertex	vertex	NOUN
ejpam-5383	42	6	u	u	NOUN
ejpam-5383	42	7	is	be	AUX
ejpam-5383	42	8	defined	define	VERB
ejpam-5383	42	9	as	as	ADP
ejpam-5383	42	10	w(u	w(u	NOUN
ejpam-5383	42	11	)	)	PUNCT
ejpam-5383	43	1	=	=	SYM
ejpam-5383	43	2	∑	∑	PUNCT
ejpam-5383	43	3	e∈e(u	e∈e(u	PROPN
ejpam-5383	43	4	)	)	PUNCT
ejpam-5383	43	5	f(e	f(e	NOUN
ejpam-5383	43	6	)	)	PUNCT
ejpam-5383	43	7	,	,	PUNCT
ejpam-5383	43	8	where	where	SCONJ
ejpam-5383	43	9	e(u	e(u	PROPN
ejpam-5383	43	10	)	)	PUNCT
ejpam-5383	43	11	is	be	AUX
ejpam-5383	43	12	the	the	DET
ejpam-5383	43	13	set	set	NOUN
ejpam-5383	43	14	of	of	ADP
ejpam-5383	43	15	edges	edge	NOUN
ejpam-5383	43	16	incident	incident	NOUN
ejpam-5383	43	17	to	to	PART
ejpam-5383	43	18	u.	u.	VERB
ejpam-5383	43	19	a	a	DET
ejpam-5383	43	20	graph	graph	NOUN
ejpam-5383	43	21	g	g	NOUN
ejpam-5383	43	22	is	be	AUX
ejpam-5383	43	23	antimagic	antimagic	ADJ
ejpam-5383	43	24	if	if	SCONJ
ejpam-5383	43	25	g	g	PROPN
ejpam-5383	43	26	admits	admit	VERB
ejpam-5383	43	27	an	an	DET
ejpam-5383	43	28	antimagic	antimagic	ADJ
ejpam-5383	43	29	labeling	labeling	NOUN
ejpam-5383	43	30	.	.	PUNCT
ejpam-5383	44	1	hartsfield	hartsfield	PROPN
ejpam-5383	44	2	and	and	CCONJ
ejpam-5383	44	3	ringel	ringel	NOUN
ejpam-5383	44	4	[	[	X
ejpam-5383	44	5	11	11	NUM
ejpam-5383	44	6	]	]	PUNCT
ejpam-5383	44	7	proposed	propose	VERB
ejpam-5383	44	8	the	the	DET
ejpam-5383	44	9	following	follow	VERB
ejpam-5383	44	10	conjectures	conjecture	NOUN
ejpam-5383	44	11	.	.	PUNCT
ejpam-5383	45	1	conjecture	conjecture	VERB
ejpam-5383	45	2	1	1	NUM
ejpam-5383	45	3	.	.	PUNCT
ejpam-5383	46	1	[	[	X
ejpam-5383	46	2	11	11	NUM
ejpam-5383	46	3	]	]	PUNCT
ejpam-5383	46	4	every	every	DET
ejpam-5383	46	5	connected	connected	ADJ
ejpam-5383	46	6	graph	graph	NOUN
ejpam-5383	46	7	other	other	ADJ
ejpam-5383	46	8	than	than	ADP
ejpam-5383	46	9	k2	k2	PROPN
ejpam-5383	46	10	is	be	AUX
ejpam-5383	46	11	antimagic	antimagic	ADJ
ejpam-5383	46	12	.	.	PUNCT
ejpam-5383	47	1	conjecture	conjecture	NOUN
ejpam-5383	47	2	2	2	NUM
ejpam-5383	47	3	.	.	PUNCT
ejpam-5383	48	1	[	[	X
ejpam-5383	48	2	11	11	NUM
ejpam-5383	48	3	]	]	PUNCT
ejpam-5383	48	4	every	every	DET
ejpam-5383	48	5	tree	tree	NOUN
ejpam-5383	48	6	other	other	ADJ
ejpam-5383	48	7	than	than	ADP
ejpam-5383	48	8	k2	k2	PROPN
ejpam-5383	48	9	is	be	AUX
ejpam-5383	48	10	antimagic	antimagic	NOUN
ejpam-5383	48	11	.	.	PUNCT
ejpam-5383	49	1	based	base	VERB
ejpam-5383	49	2	on	on	ADP
ejpam-5383	49	3	the	the	DET
ejpam-5383	49	4	above	above	ADJ
ejpam-5383	49	5	two	two	NUM
ejpam-5383	49	6	conjectures	conjecture	VERB
ejpam-5383	49	7	several	several	ADJ
ejpam-5383	49	8	authors	author	NOUN
ejpam-5383	49	9	are	be	AUX
ejpam-5383	49	10	studied	study	VERB
ejpam-5383	49	11	and	and	CCONJ
ejpam-5383	49	12	obtained	obtain	VERB
ejpam-5383	49	13	several	several	ADJ
ejpam-5383	49	14	results	result	NOUN
ejpam-5383	49	15	.	.	PUNCT
ejpam-5383	50	1	in	in	ADP
ejpam-5383	50	2	[	[	X
ejpam-5383	50	3	14–17	14–17	NUM
ejpam-5383	50	4	]	]	PUNCT
ejpam-5383	50	5	,	,	PUNCT
ejpam-5383	50	6	the	the	DET
ejpam-5383	50	7	authors	author	NOUN
ejpam-5383	50	8	studies	study	VERB
ejpam-5383	50	9	the	the	DET
ejpam-5383	50	10	b	b	NOUN
ejpam-5383	50	11	-	-	PUNCT
ejpam-5383	50	12	chromatic	chromatic	ADJ
ejpam-5383	50	13	number	number	NOUN
ejpam-5383	50	14	of	of	ADP
ejpam-5383	50	15	some	some	DET
ejpam-5383	50	16	special	special	ADJ
ejpam-5383	50	17	and	and	CCONJ
ejpam-5383	50	18	standard	standard	ADJ
ejpam-5383	50	19	graphs	graph	NOUN
ejpam-5383	50	20	.	.	PUNCT
ejpam-5383	51	1	arumugam	arumugam	ADJ
ejpam-5383	51	2	and	and	CCONJ
ejpam-5383	51	3	nalliah	nalliah	PROPN
ejpam-5383	52	1	[	[	X
ejpam-5383	52	2	3	3	X
ejpam-5383	52	3	]	]	PUNCT
ejpam-5383	52	4	found	find	VERB
ejpam-5383	52	5	the	the	DET
ejpam-5383	52	6	super	super	ADJ
ejpam-5383	52	7	(	(	PUNCT
ejpam-5383	52	8	a	a	PRON
ejpam-5383	52	9	,	,	PUNCT
ejpam-5383	52	10	d)-edge	d)-edge	ADJ
ejpam-5383	52	11	antimagic	antimagic	ADJ
ejpam-5383	52	12	total	total	ADJ
ejpam-5383	52	13	labelings	labeling	NOUN
ejpam-5383	52	14	of	of	ADP
ejpam-5383	52	15	friendship	friendship	NOUN
ejpam-5383	52	16	graphs	graph	NOUN
ejpam-5383	52	17	in	in	ADP
ejpam-5383	52	18	2012	2012	NUM
ejpam-5383	52	19	.	.	PUNCT
ejpam-5383	53	1	for	for	ADP
ejpam-5383	53	2	further	further	ADJ
ejpam-5383	53	3	results	result	NOUN
ejpam-5383	53	4	one	one	PRON
ejpam-5383	53	5	can	can	AUX
ejpam-5383	53	6	refer	refer	VERB
ejpam-5383	53	7	[	[	NOUN
ejpam-5383	53	8	4	4	NUM
ejpam-5383	53	9	,	,	PUNCT
ejpam-5383	53	10	5	5	NUM
ejpam-5383	53	11	,	,	PUNCT
ejpam-5383	53	12	24–27	24–27	NUM
ejpam-5383	53	13	]	]	PUNCT
ejpam-5383	53	14	.	.	PUNCT
ejpam-5383	54	1	in	in	ADP
ejpam-5383	54	2	2017	2017	NUM
ejpam-5383	54	3	,	,	PUNCT
ejpam-5383	54	4	nalliah	nalliah	PROPN
ejpam-5383	54	5	and	and	CCONJ
ejpam-5383	54	6	arumugam	arumugam	ADJ
ejpam-5383	54	7	[	[	X
ejpam-5383	54	8	28	28	NUM
ejpam-5383	54	9	]	]	X
ejpam-5383	54	10	determined	determine	VERB
ejpam-5383	54	11	the	the	DET
ejpam-5383	54	12	super	super	ADJ
ejpam-5383	54	13	(	(	PUNCT
ejpam-5383	54	14	a	a	DET
ejpam-5383	54	15	,	,	PUNCT
ejpam-5383	54	16	3)-edge	3)-edge	NUM
ejpam-5383	54	17	antimagic	antimagic	ADJ
ejpam-5383	54	18	total	total	ADJ
ejpam-5383	54	19	labeling	labeling	NOUN
ejpam-5383	54	20	for	for	ADP
ejpam-5383	54	21	union	union	NOUN
ejpam-5383	54	22	of	of	ADP
ejpam-5383	54	23	two	two	NUM
ejpam-5383	54	24	stars	star	NOUN
ejpam-5383	54	25	.	.	PUNCT
ejpam-5383	55	1	for	for	ADP
ejpam-5383	55	2	further	further	ADJ
ejpam-5383	55	3	study	study	NOUN
ejpam-5383	55	4	see	see	VERB
ejpam-5383	55	5	in	in	ADP
ejpam-5383	55	6	[	[	X
ejpam-5383	55	7	31	31	NUM
ejpam-5383	55	8	,	,	PUNCT
ejpam-5383	55	9	33	33	NUM
ejpam-5383	55	10	,	,	PUNCT
ejpam-5383	55	11	34	34	NUM
ejpam-5383	55	12	]	]	PUNCT
ejpam-5383	55	13	.	.	PUNCT
ejpam-5383	56	1	in	in	ADP
ejpam-5383	56	2	2017	2017	NUM
ejpam-5383	56	3	,	,	PUNCT
ejpam-5383	56	4	arumugam	arumugam	NUM
ejpam-5383	56	5	et	et	NOUN
ejpam-5383	56	6	al.[6	al.[6	PROPN
ejpam-5383	56	7	]	]	PUNCT
ejpam-5383	56	8	proposed	propose	VERB
ejpam-5383	56	9	the	the	DET
ejpam-5383	56	10	local	local	ADJ
ejpam-5383	56	11	antimagic	antimagic	ADJ
ejpam-5383	56	12	chromatic	chromatic	ADJ
ejpam-5383	56	13	number	number	NOUN
ejpam-5383	56	14	using	use	VERB
ejpam-5383	56	15	antimagic	antimagic	ADJ
ejpam-5383	56	16	labeling	labeling	NOUN
ejpam-5383	56	17	and	and	CCONJ
ejpam-5383	56	18	vertex	vertex	NOUN
ejpam-5383	56	19	coloring	coloring	NOUN
ejpam-5383	56	20	concepts	concept	NOUN
ejpam-5383	56	21	,	,	PUNCT
ejpam-5383	56	22	which	which	PRON
ejpam-5383	56	23	is	be	AUX
ejpam-5383	56	24	given	give	VERB
ejpam-5383	56	25	as	as	SCONJ
ejpam-5383	56	26	follows	follow	VERB
ejpam-5383	56	27	.	.	PUNCT
ejpam-5383	57	1	v.	v.	ADP
ejpam-5383	57	2	sandhiya	sandhiya	PROPN
ejpam-5383	57	3	,	,	PUNCT
ejpam-5383	57	4	m.	m.	NOUN
ejpam-5383	57	5	nalliah	nalliah	PROPN
ejpam-5383	57	6	/	/	SYM
ejpam-5383	57	7	eur	eur	PROPN
ejpam-5383	57	8	.	.	PUNCT
ejpam-5383	58	1	j.	j.	PROPN
ejpam-5383	58	2	pure	pure	PROPN
ejpam-5383	58	3	appl	appl	PROPN
ejpam-5383	58	4	.	.	PROPN
ejpam-5383	58	5	math	math	PROPN
ejpam-5383	58	6	,	,	PUNCT
ejpam-5383	58	7	17	17	NUM
ejpam-5383	58	8	(	(	PUNCT
ejpam-5383	58	9	4	4	NUM
ejpam-5383	58	10	)	)	PUNCT
ejpam-5383	58	11	(	(	PUNCT
ejpam-5383	58	12	2024	2024	NUM
ejpam-5383	58	13	)	)	PUNCT
ejpam-5383	58	14	,	,	PUNCT
ejpam-5383	58	15	2828	2828	NUM
ejpam-5383	58	16	-	-	SYM
ejpam-5383	58	17	2842	2842	NUM
ejpam-5383	58	18	2830	2830	NUM
ejpam-5383	58	19	definition	definition	NOUN
ejpam-5383	58	20	3	3	NUM
ejpam-5383	58	21	.	.	PUNCT
ejpam-5383	59	1	[	[	X
ejpam-5383	59	2	6	6	NUM
ejpam-5383	59	3	]	]	PUNCT
ejpam-5383	59	4	a	a	DET
ejpam-5383	59	5	local	local	ADJ
ejpam-5383	59	6	vertex	vertex	NOUN
ejpam-5383	59	7	antimagic	antimagic	NOUN
ejpam-5383	59	8	labeling	labeling	NOUN
ejpam-5383	59	9	is	be	AUX
ejpam-5383	59	10	a	a	DET
ejpam-5383	59	11	bijection	bijection	ADJ
ejpam-5383	59	12	f	f	NOUN
ejpam-5383	59	13	:	:	PUNCT
ejpam-5383	59	14	e	e	X
ejpam-5383	59	15	→	→	PUNCT
ejpam-5383	59	16	{	{	PUNCT
ejpam-5383	59	17	1	1	NUM
ejpam-5383	59	18	,	,	PUNCT
ejpam-5383	59	19	2	2	NUM
ejpam-5383	59	20	,	,	PUNCT
ejpam-5383	59	21	...	...	PUNCT
ejpam-5383	59	22	,	,	PUNCT
ejpam-5383	59	23	|e|	|e|	ADJ
ejpam-5383	59	24	}	}	PUNCT
ejpam-5383	59	25	such	such	ADJ
ejpam-5383	59	26	that	that	SCONJ
ejpam-5383	59	27	w(u	w(u	PROPN
ejpam-5383	59	28	)	)	PUNCT
ejpam-5383	59	29	̸=	̸=	PROPN
ejpam-5383	59	30	w(v),for	w(v),for	ADP
ejpam-5383	59	31	all	all	DET
ejpam-5383	59	32	uv	uv	PROPN
ejpam-5383	59	33	∈	∈	PROPN
ejpam-5383	59	34	e(g	e(g	PROPN
ejpam-5383	59	35	)	)	PUNCT
ejpam-5383	59	36	,	,	PUNCT
ejpam-5383	59	37	where	where	SCONJ
ejpam-5383	59	38	w(u	w(u	VERB
ejpam-5383	59	39	)	)	PUNCT
ejpam-5383	59	40	=	=	SYM
ejpam-5383	59	41	∑	∑	PUNCT
ejpam-5383	59	42	e∈e(u	e∈e(u	PROPN
ejpam-5383	59	43	)	)	PUNCT
ejpam-5383	59	44	f(e	f(e	NOUN
ejpam-5383	59	45	)	)	PUNCT
ejpam-5383	59	46	,	,	PUNCT
ejpam-5383	59	47	and	and	CCONJ
ejpam-5383	59	48	e(u	e(u	PROPN
ejpam-5383	59	49	)	)	PUNCT
ejpam-5383	59	50	is	be	AUX
ejpam-5383	59	51	the	the	DET
ejpam-5383	59	52	set	set	NOUN
ejpam-5383	59	53	of	of	ADP
ejpam-5383	59	54	edges	edge	NOUN
ejpam-5383	59	55	incident	incident	NOUN
ejpam-5383	59	56	to	to	PART
ejpam-5383	59	57	u.	u.	VERB
ejpam-5383	59	58	if	if	SCONJ
ejpam-5383	59	59	a	a	DET
ejpam-5383	59	60	graph	graph	NOUN
ejpam-5383	59	61	g	g	PROPN
ejpam-5383	59	62	admits	admit	VERB
ejpam-5383	59	63	a	a	DET
ejpam-5383	59	64	local	local	ADJ
ejpam-5383	59	65	antimagic	antimagic	ADJ
ejpam-5383	59	66	labeling	labeling	NOUN
ejpam-5383	59	67	,	,	PUNCT
ejpam-5383	59	68	then	then	ADV
ejpam-5383	59	69	g	g	PROPN
ejpam-5383	59	70	is	be	AUX
ejpam-5383	59	71	called	call	VERB
ejpam-5383	59	72	local	local	ADJ
ejpam-5383	59	73	antimagic	antimagic	NOUN
ejpam-5383	59	74	.	.	PUNCT
ejpam-5383	60	1	the	the	DET
ejpam-5383	60	2	minimum	minimum	ADJ
ejpam-5383	60	3	number	number	NOUN
ejpam-5383	60	4	of	of	ADP
ejpam-5383	60	5	colors	color	NOUN
ejpam-5383	60	6	taken	take	VERB
ejpam-5383	60	7	over	over	ADP
ejpam-5383	60	8	all	all	DET
ejpam-5383	60	9	colorings	coloring	NOUN
ejpam-5383	60	10	induced	induce	VERB
ejpam-5383	60	11	by	by	ADP
ejpam-5383	60	12	local	local	ADJ
ejpam-5383	60	13	antimagic	antimagic	ADJ
ejpam-5383	60	14	labelings	labeling	NOUN
ejpam-5383	60	15	of	of	ADP
ejpam-5383	60	16	g	g	PROPN
ejpam-5383	60	17	is	be	AUX
ejpam-5383	60	18	called	call	VERB
ejpam-5383	60	19	local	local	ADJ
ejpam-5383	60	20	antimagic	antimagic	ADJ
ejpam-5383	60	21	chromatic	chromatic	ADJ
ejpam-5383	60	22	number	number	NOUN
ejpam-5383	60	23	,	,	PUNCT
ejpam-5383	60	24	denoted	denote	VERB
ejpam-5383	60	25	by	by	ADP
ejpam-5383	60	26	χla(g	χla(g	PROPN
ejpam-5383	60	27	)	)	PUNCT
ejpam-5383	60	28	.	.	PUNCT
ejpam-5383	61	1	the	the	DET
ejpam-5383	61	2	local	local	ADJ
ejpam-5383	61	3	antimagic	antimagic	ADJ
ejpam-5383	61	4	chromatic	chromatic	ADJ
ejpam-5383	61	5	number	number	NOUN
ejpam-5383	61	6	has	have	AUX
ejpam-5383	61	7	been	be	AUX
ejpam-5383	61	8	studied	study	VERB
ejpam-5383	61	9	by	by	ADP
ejpam-5383	61	10	several	several	ADJ
ejpam-5383	61	11	authors	author	NOUN
ejpam-5383	61	12	for	for	ADP
ejpam-5383	61	13	the	the	DET
ejpam-5383	61	14	various	various	ADJ
ejpam-5383	61	15	families	family	NOUN
ejpam-5383	61	16	of	of	ADP
ejpam-5383	61	17	graphs	graph	NOUN
ejpam-5383	61	18	.	.	PUNCT
ejpam-5383	62	1	in	in	ADP
ejpam-5383	62	2	2022	2022	NUM
ejpam-5383	62	3	,	,	PUNCT
ejpam-5383	62	4	lau	lau	PROPN
ejpam-5383	62	5	et.al	et.al	PROPN
ejpam-5383	63	1	[	[	X
ejpam-5383	63	2	22	22	NUM
ejpam-5383	63	3	]	]	PUNCT
ejpam-5383	63	4	obtained	obtain	VERB
ejpam-5383	63	5	the	the	DET
ejpam-5383	63	6	local	local	ADJ
ejpam-5383	63	7	antimagic	antimagic	ADJ
ejpam-5383	63	8	chromatic	chromatic	ADJ
ejpam-5383	63	9	number	number	NOUN
ejpam-5383	63	10	of	of	ADP
ejpam-5383	63	11	lexicographic	lexicographic	ADJ
ejpam-5383	63	12	product	product	NOUN
ejpam-5383	63	13	graph	graph	NOUN
ejpam-5383	63	14	.	.	PUNCT
ejpam-5383	64	1	also	also	ADV
ejpam-5383	64	2	in	in	ADP
ejpam-5383	64	3	[	[	X
ejpam-5383	64	4	23	23	NUM
ejpam-5383	64	5	]	]	PUNCT
ejpam-5383	64	6	,	,	PUNCT
ejpam-5383	64	7	the	the	DET
ejpam-5383	64	8	authors	author	NOUN
ejpam-5383	64	9	are	be	AUX
ejpam-5383	64	10	given	give	VERB
ejpam-5383	64	11	the	the	DET
ejpam-5383	64	12	complete	complete	ADJ
ejpam-5383	64	13	characterization	characterization	NOUN
ejpam-5383	64	14	of	of	ADP
ejpam-5383	64	15	s	s	NOUN
ejpam-5383	64	16	-	-	PUNCT
ejpam-5383	64	17	bridge	bridge	NOUN
ejpam-5383	64	18	graphs	graph	NOUN
ejpam-5383	64	19	with	with	ADP
ejpam-5383	64	20	local	local	ADJ
ejpam-5383	64	21	antimagic	antimagic	ADJ
ejpam-5383	64	22	chromatic	chromatic	ADJ
ejpam-5383	64	23	number	number	NOUN
ejpam-5383	64	24	2	2	NUM
ejpam-5383	64	25	.	.	PUNCT
ejpam-5383	65	1	nalliah	nalliah	PROPN
ejpam-5383	65	2	et.al	et.al	PROPN
ejpam-5383	66	1	[	[	X
ejpam-5383	66	2	29	29	NUM
ejpam-5383	66	3	]	]	PUNCT
ejpam-5383	66	4	found	find	VERB
ejpam-5383	66	5	the	the	DET
ejpam-5383	66	6	local	local	ADJ
ejpam-5383	66	7	vertex	vertex	NOUN
ejpam-5383	66	8	coloring	color	VERB
ejpam-5383	66	9	for	for	ADP
ejpam-5383	66	10	generalized	generalized	ADJ
ejpam-5383	66	11	friendship	friendship	NOUN
ejpam-5383	66	12	graph	graph	NOUN
ejpam-5383	66	13	.	.	PUNCT
ejpam-5383	67	1	shankar	shankar	PROPN
ejpam-5383	67	2	and	and	CCONJ
ejpam-5383	67	3	nalliah	nalliah	PROPN
ejpam-5383	68	1	[	[	X
ejpam-5383	68	2	37	37	NUM
ejpam-5383	68	3	]	]	PUNCT
ejpam-5383	68	4	studied	study	VERB
ejpam-5383	68	5	the	the	DET
ejpam-5383	68	6	local	local	ADJ
ejpam-5383	68	7	vertex	vertex	NOUN
ejpam-5383	68	8	antimagic	antimagic	ADJ
ejpam-5383	68	9	chromatic	chromatic	ADJ
ejpam-5383	68	10	number	number	NOUN
ejpam-5383	68	11	of	of	ADP
ejpam-5383	68	12	some	some	DET
ejpam-5383	68	13	wheel	wheel	NOUN
ejpam-5383	68	14	related	relate	VERB
ejpam-5383	68	15	graph	graph	NOUN
ejpam-5383	68	16	.	.	PUNCT
ejpam-5383	69	1	also	also	ADV
ejpam-5383	69	2	in	in	ADP
ejpam-5383	69	3	[	[	X
ejpam-5383	69	4	36	36	NUM
ejpam-5383	69	5	]	]	PUNCT
ejpam-5383	69	6	,	,	PUNCT
ejpam-5383	69	7	the	the	DET
ejpam-5383	69	8	authors	author	NOUN
ejpam-5383	69	9	found	find	VERB
ejpam-5383	69	10	the	the	DET
ejpam-5383	69	11	local	local	ADJ
ejpam-5383	69	12	antimagic	antimagic	ADJ
ejpam-5383	69	13	chromatic	chromatic	ADJ
ejpam-5383	69	14	number	number	NOUN
ejpam-5383	69	15	for	for	ADP
ejpam-5383	69	16	the	the	DET
ejpam-5383	69	17	corona	corona	NOUN
ejpam-5383	69	18	product	product	NOUN
ejpam-5383	69	19	of	of	ADP
ejpam-5383	69	20	wheel	wheel	NOUN
ejpam-5383	69	21	and	and	CCONJ
ejpam-5383	69	22	null	null	ADJ
ejpam-5383	69	23	graphs	graph	NOUN
ejpam-5383	69	24	.	.	PUNCT
ejpam-5383	70	1	in	in	ADP
ejpam-5383	70	2	2023	2023	NUM
ejpam-5383	70	3	,	,	PUNCT
ejpam-5383	70	4	lau	lau	PROPN
ejpam-5383	70	5	and	and	CCONJ
ejpam-5383	70	6	nalliah	nalliah	PROPN
ejpam-5383	70	7	[	[	X
ejpam-5383	70	8	19	19	NUM
ejpam-5383	70	9	]	]	PUNCT
ejpam-5383	70	10	determined	determine	VERB
ejpam-5383	70	11	the	the	DET
ejpam-5383	70	12	local	local	ADJ
ejpam-5383	70	13	antimagic	antimagic	ADJ
ejpam-5383	70	14	chromatic	chromatic	ADJ
ejpam-5383	70	15	number	number	NOUN
ejpam-5383	70	16	of	of	ADP
ejpam-5383	70	17	a	a	DET
ejpam-5383	70	18	corona	corona	NOUN
ejpam-5383	70	19	product	product	NOUN
ejpam-5383	70	20	of	of	ADP
ejpam-5383	70	21	graph	graph	NOUN
ejpam-5383	70	22	.	.	PUNCT
ejpam-5383	71	1	in	in	ADP
ejpam-5383	71	2	[	[	X
ejpam-5383	71	3	2	2	NUM
ejpam-5383	71	4	]	]	PUNCT
ejpam-5383	71	5	,	,	PUNCT
ejpam-5383	71	6	authors	author	NOUN
ejpam-5383	71	7	found	find	VERB
ejpam-5383	71	8	the	the	DET
ejpam-5383	71	9	degree	degree	NOUN
ejpam-5383	71	10	based	base	VERB
ejpam-5383	71	11	topological	topological	ADJ
ejpam-5383	71	12	indices	index	NOUN
ejpam-5383	71	13	of	of	ADP
ejpam-5383	71	14	corona	corona	NOUN
ejpam-5383	71	15	product	product	NOUN
ejpam-5383	71	16	graphs	graph	NOUN
ejpam-5383	71	17	.	.	PUNCT
ejpam-5383	72	1	for	for	ADP
ejpam-5383	72	2	further	further	ADJ
ejpam-5383	72	3	study	study	NOUN
ejpam-5383	72	4	see	see	VERB
ejpam-5383	72	5	in	in	ADP
ejpam-5383	72	6	[	[	X
ejpam-5383	72	7	18	18	NUM
ejpam-5383	72	8	,	,	PUNCT
ejpam-5383	72	9	20	20	NUM
ejpam-5383	72	10	,	,	PUNCT
ejpam-5383	72	11	21	21	NUM
ejpam-5383	72	12	,	,	PUNCT
ejpam-5383	72	13	30	30	NUM
ejpam-5383	72	14	]	]	PUNCT
ejpam-5383	72	15	.	.	PUNCT
ejpam-5383	73	1	an	an	DET
ejpam-5383	73	2	edge	edge	NOUN
ejpam-5383	73	3	version	version	NOUN
ejpam-5383	73	4	of	of	ADP
ejpam-5383	73	5	local	local	ADJ
ejpam-5383	73	6	antimagic	antimagic	ADJ
ejpam-5383	73	7	labeling	labeling	NOUN
ejpam-5383	73	8	were	be	AUX
ejpam-5383	73	9	introduced	introduce	VERB
ejpam-5383	73	10	by	by	ADP
ejpam-5383	73	11	agustin	agustin	PROPN
ejpam-5383	73	12	et	et	PROPN
ejpam-5383	73	13	al.[1	al.[1	PROPN
ejpam-5383	73	14	]	]	PUNCT
ejpam-5383	73	15	in	in	ADP
ejpam-5383	73	16	2017	2017	NUM
ejpam-5383	73	17	,	,	PUNCT
ejpam-5383	73	18	which	which	PRON
ejpam-5383	73	19	is	be	AUX
ejpam-5383	73	20	given	give	VERB
ejpam-5383	73	21	as	as	SCONJ
ejpam-5383	73	22	follows	follow	VERB
ejpam-5383	73	23	:	:	PUNCT
ejpam-5383	73	24	definition	definition	NOUN
ejpam-5383	73	25	4	4	NUM
ejpam-5383	73	26	.	.	PUNCT
ejpam-5383	74	1	[	[	X
ejpam-5383	74	2	1	1	X
ejpam-5383	74	3	]	]	PUNCT
ejpam-5383	74	4	a	a	DET
ejpam-5383	74	5	local	local	ADJ
ejpam-5383	74	6	edge	edge	NOUN
ejpam-5383	74	7	antimagic	antimagic	ADJ
ejpam-5383	74	8	labeling	labeling	NOUN
ejpam-5383	74	9	is	be	AUX
ejpam-5383	74	10	defined	define	VERB
ejpam-5383	74	11	as	as	SCONJ
ejpam-5383	74	12	there	there	PRON
ejpam-5383	74	13	is	be	VERB
ejpam-5383	74	14	a	a	DET
ejpam-5383	74	15	bijection	bijection	ADJ
ejpam-5383	74	16	f	f	NOUN
ejpam-5383	74	17	:	:	PUNCT
ejpam-5383	74	18	v	v	X
ejpam-5383	74	19	(	(	PUNCT
ejpam-5383	74	20	g	g	NOUN
ejpam-5383	74	21	)	)	PUNCT
ejpam-5383	74	22	→	→	SYM
ejpam-5383	74	23	{	{	PUNCT
ejpam-5383	74	24	1	1	NUM
ejpam-5383	74	25	,	,	PUNCT
ejpam-5383	74	26	2	2	NUM
ejpam-5383	74	27	,	,	PUNCT
ejpam-5383	74	28	3	3	NUM
ejpam-5383	74	29	,	,	PUNCT
ejpam-5383	74	30	...	...	PUNCT
ejpam-5383	74	31	,	,	PUNCT
ejpam-5383	74	32	|v	|v	PROPN
ejpam-5383	74	33	(	(	PUNCT
ejpam-5383	74	34	g)|	g)|	PROPN
ejpam-5383	74	35	}	}	PUNCT
ejpam-5383	74	36	,	,	PUNCT
ejpam-5383	74	37	for	for	ADP
ejpam-5383	74	38	any	any	DET
ejpam-5383	74	39	two	two	NUM
ejpam-5383	74	40	adjacent	adjacent	ADJ
ejpam-5383	74	41	edges	edge	NOUN
ejpam-5383	74	42	e1	e1	PROPN
ejpam-5383	74	43	and	and	CCONJ
ejpam-5383	74	44	e2	e2	PROPN
ejpam-5383	74	45	with	with	ADP
ejpam-5383	74	46	their	their	PRON
ejpam-5383	74	47	weights	weight	NOUN
ejpam-5383	74	48	w(e1	w(e1	NOUN
ejpam-5383	74	49	)	)	PUNCT
ejpam-5383	75	1	̸=	̸=	PROPN
ejpam-5383	75	2	w(e2	w(e2	PROPN
ejpam-5383	75	3	)	)	PUNCT
ejpam-5383	75	4	.	.	PUNCT
ejpam-5383	76	1	the	the	DET
ejpam-5383	76	2	edge	edge	NOUN
ejpam-5383	76	3	weight	weight	NOUN
ejpam-5383	76	4	of	of	ADP
ejpam-5383	76	5	an	an	DET
ejpam-5383	76	6	edge	edge	NOUN
ejpam-5383	76	7	e	e	NOUN
ejpam-5383	76	8	=	=	NOUN
ejpam-5383	76	9	xy	xy	PROPN
ejpam-5383	76	10	is	be	AUX
ejpam-5383	76	11	defined	define	VERB
ejpam-5383	76	12	by	by	ADP
ejpam-5383	76	13	w(e	w(e	NOUN
ejpam-5383	76	14	=	=	SYM
ejpam-5383	76	15	xy	xy	PROPN
ejpam-5383	76	16	)	)	PUNCT
ejpam-5383	76	17	=	=	SYM
ejpam-5383	76	18	f(x)+	f(x)+	NOUN
ejpam-5383	76	19	f(y	f(y	NOUN
ejpam-5383	76	20	)	)	PUNCT
ejpam-5383	76	21	.	.	PUNCT
ejpam-5383	77	1	if	if	SCONJ
ejpam-5383	77	2	a	a	DET
ejpam-5383	77	3	graph	graph	NOUN
ejpam-5383	77	4	g	g	PROPN
ejpam-5383	77	5	admits	admit	VERB
ejpam-5383	77	6	a	a	DET
ejpam-5383	77	7	local	local	ADJ
ejpam-5383	77	8	edge	edge	NOUN
ejpam-5383	77	9	antimagic	antimagic	ADJ
ejpam-5383	77	10	labeling	labeling	NOUN
ejpam-5383	77	11	,	,	PUNCT
ejpam-5383	77	12	then	then	ADV
ejpam-5383	77	13	g	g	PROPN
ejpam-5383	77	14	is	be	AUX
ejpam-5383	77	15	called	call	VERB
ejpam-5383	77	16	local	local	ADJ
ejpam-5383	77	17	edge	edge	NOUN
ejpam-5383	77	18	antimagic	antimagic	NOUN
ejpam-5383	77	19	.	.	PUNCT
ejpam-5383	78	1	the	the	DET
ejpam-5383	78	2	minimum	minimum	ADJ
ejpam-5383	78	3	number	number	NOUN
ejpam-5383	78	4	of	of	ADP
ejpam-5383	78	5	colors	color	NOUN
ejpam-5383	78	6	taken	take	VERB
ejpam-5383	78	7	over	over	ADP
ejpam-5383	78	8	all	all	DET
ejpam-5383	78	9	colorings	coloring	NOUN
ejpam-5383	78	10	induced	induce	VERB
ejpam-5383	78	11	by	by	ADP
ejpam-5383	78	12	local	local	ADJ
ejpam-5383	78	13	edge	edge	NOUN
ejpam-5383	78	14	antimagic	antimagic	ADJ
ejpam-5383	78	15	labelings	labeling	NOUN
ejpam-5383	78	16	of	of	ADP
ejpam-5383	78	17	g	g	PROPN
ejpam-5383	78	18	is	be	AUX
ejpam-5383	78	19	called	call	VERB
ejpam-5383	78	20	local	local	ADJ
ejpam-5383	78	21	edge	edge	NOUN
ejpam-5383	78	22	antimagic	antimagic	ADJ
ejpam-5383	78	23	chromatic	chromatic	ADJ
ejpam-5383	78	24	number	number	NOUN
ejpam-5383	78	25	,	,	PUNCT
ejpam-5383	78	26	denoted	denote	VERB
ejpam-5383	78	27	by	by	ADP
ejpam-5383	78	28	χ′	χ′	PROPN
ejpam-5383	78	29	lea(g	lea(g	PROPN
ejpam-5383	78	30	)	)	PUNCT
ejpam-5383	78	31	.	.	PUNCT
ejpam-5383	79	1	agustin	agustin	PROPN
ejpam-5383	79	2	et	et	PROPN
ejpam-5383	79	3	al.[1	al.[1	PROPN
ejpam-5383	79	4	]	]	PUNCT
ejpam-5383	79	5	found	find	VERB
ejpam-5383	79	6	the	the	DET
ejpam-5383	79	7	local	local	ADJ
ejpam-5383	79	8	edge	edge	NOUN
ejpam-5383	79	9	antimagic	antimagic	ADJ
ejpam-5383	79	10	chromatic	chromatic	ADJ
ejpam-5383	79	11	number	number	NOUN
ejpam-5383	79	12	for	for	ADP
ejpam-5383	79	13	the	the	DET
ejpam-5383	79	14	path	path	NOUN
ejpam-5383	79	15	graph	graph	NOUN
ejpam-5383	79	16	,	,	PUNCT
ejpam-5383	79	17	star	star	NOUN
ejpam-5383	79	18	graph	graph	NOUN
ejpam-5383	79	19	,	,	PUNCT
ejpam-5383	79	20	cycle	cycle	NOUN
ejpam-5383	79	21	graph	graph	NOUN
ejpam-5383	79	22	and	and	CCONJ
ejpam-5383	79	23	friendship	friendship	NOUN
ejpam-5383	79	24	graph	graph	NOUN
ejpam-5383	79	25	.	.	PUNCT
ejpam-5383	80	1	rajkumar	rajkumar	PROPN
ejpam-5383	80	2	and	and	CCONJ
ejpam-5383	80	3	nalliah	nalliah	PROPN
ejpam-5383	81	1	[	[	X
ejpam-5383	81	2	32	32	NUM
ejpam-5383	81	3	]	]	PUNCT
ejpam-5383	81	4	determined	determine	VERB
ejpam-5383	81	5	the	the	DET
ejpam-5383	81	6	local	local	ADJ
ejpam-5383	81	7	edge	edge	NOUN
ejpam-5383	81	8	antimagic	antimagic	ADJ
ejpam-5383	81	9	chromatic	chromatic	ADJ
ejpam-5383	81	10	number	number	NOUN
ejpam-5383	81	11	of	of	ADP
ejpam-5383	81	12	wheel	wheel	NOUN
ejpam-5383	81	13	graph	graph	NOUN
ejpam-5383	81	14	,	,	PUNCT
ejpam-5383	81	15	helm	helm	NOUN
ejpam-5383	81	16	graph	graph	NOUN
ejpam-5383	81	17	,	,	PUNCT
ejpam-5383	81	18	closed	closed	ADJ
ejpam-5383	81	19	helm	helm	NOUN
ejpam-5383	81	20	graph	graph	NOUN
ejpam-5383	81	21	and	and	CCONJ
ejpam-5383	81	22	double	double	ADJ
ejpam-5383	81	23	star	star	NOUN
ejpam-5383	81	24	graph	graph	NOUN
ejpam-5383	81	25	.	.	PUNCT
ejpam-5383	82	1	in	in	ADP
ejpam-5383	82	2	[	[	X
ejpam-5383	82	3	35	35	NUM
ejpam-5383	82	4	]	]	PUNCT
ejpam-5383	82	5	,	,	PUNCT
ejpam-5383	82	6	sandhiya	sandhiya	PROPN
ejpam-5383	82	7	and	and	CCONJ
ejpam-5383	82	8	nalliah	nalliah	PROPN
ejpam-5383	82	9	introduced	introduce	VERB
ejpam-5383	82	10	the	the	DET
ejpam-5383	82	11	concept	concept	NOUN
ejpam-5383	82	12	of	of	ADP
ejpam-5383	82	13	local	local	ADJ
ejpam-5383	82	14	total	total	ADJ
ejpam-5383	82	15	antimagic	antimagic	ADJ
ejpam-5383	82	16	labeling	labeling	NOUN
ejpam-5383	82	17	and	and	CCONJ
ejpam-5383	82	18	its	its	PRON
ejpam-5383	82	19	related	related	ADJ
ejpam-5383	82	20	parameter	parameter	NOUN
ejpam-5383	82	21	local	local	ADJ
ejpam-5383	82	22	total	total	ADJ
ejpam-5383	82	23	antimagic	antimagic	ADJ
ejpam-5383	82	24	chromatic	chromatic	ADJ
ejpam-5383	82	25	number	number	NOUN
ejpam-5383	82	26	.	.	PUNCT
ejpam-5383	83	1	definition	definition	NOUN
ejpam-5383	83	2	5	5	NUM
ejpam-5383	83	3	.	.	PUNCT
ejpam-5383	84	1	[	[	X
ejpam-5383	84	2	35	35	NUM
ejpam-5383	84	3	]	]	PUNCT
ejpam-5383	84	4	let	let	VERB
ejpam-5383	84	5	g	g	PRON
ejpam-5383	84	6	be	be	AUX
ejpam-5383	84	7	a	a	DET
ejpam-5383	84	8	graph	graph	NOUN
ejpam-5383	84	9	with	with	ADP
ejpam-5383	84	10	n	n	ADP
ejpam-5383	84	11	vertices	vertex	NOUN
ejpam-5383	84	12	,	,	PUNCT
ejpam-5383	84	13	m	m	VERB
ejpam-5383	84	14	edges	edge	NOUN
ejpam-5383	84	15	and	and	CCONJ
ejpam-5383	84	16	no	no	DET
ejpam-5383	84	17	isolated	isolated	ADJ
ejpam-5383	84	18	vertices	vertex	NOUN
ejpam-5383	84	19	.	.	PUNCT
ejpam-5383	85	1	a	a	DET
ejpam-5383	85	2	local	local	ADJ
ejpam-5383	85	3	total	total	ADJ
ejpam-5383	85	4	antimagic	antimagic	ADJ
ejpam-5383	85	5	coloring	coloring	NOUN
ejpam-5383	85	6	of	of	ADP
ejpam-5383	85	7	a	a	DET
ejpam-5383	85	8	graph	graph	NOUN
ejpam-5383	85	9	g	g	NOUN
ejpam-5383	85	10	is	be	AUX
ejpam-5383	85	11	a	a	DET
ejpam-5383	85	12	bijection	bijection	ADJ
ejpam-5383	85	13	f	f	NOUN
ejpam-5383	85	14	:	:	PUNCT
ejpam-5383	85	15	v	v	PROPN
ejpam-5383	85	16	(	(	PUNCT
ejpam-5383	85	17	g)∪e(g	g)∪e(g	NOUN
ejpam-5383	85	18	)	)	PUNCT
ejpam-5383	85	19	→	→	PUNCT
ejpam-5383	85	20	{	{	PUNCT
ejpam-5383	85	21	1	1	NUM
ejpam-5383	85	22	,	,	PUNCT
ejpam-5383	85	23	2	2	NUM
ejpam-5383	85	24	,	,	PUNCT
ejpam-5383	85	25	...	...	PUNCT
ejpam-5383	85	26	,	,	PUNCT
ejpam-5383	85	27	n+m	n+m	NUM
ejpam-5383	85	28	}	}	PUNCT
ejpam-5383	85	29	,	,	PUNCT
ejpam-5383	85	30	if	if	SCONJ
ejpam-5383	85	31	(	(	PUNCT
ejpam-5383	85	32	i	i	NOUN
ejpam-5383	85	33	)	)	PUNCT
ejpam-5383	85	34	.	.	PUNCT
ejpam-5383	86	1	w(u	w(u	X
ejpam-5383	86	2	)	)	PUNCT
ejpam-5383	86	3	̸=	̸=	PROPN
ejpam-5383	86	4	w(v	w(v	PROPN
ejpam-5383	86	5	)	)	PUNCT
ejpam-5383	86	6	for	for	ADP
ejpam-5383	86	7	any	any	DET
ejpam-5383	86	8	two	two	NUM
ejpam-5383	86	9	adjacent	adjacent	ADJ
ejpam-5383	86	10	vertices	vertex	NOUN
ejpam-5383	86	11	u	u	NOUN
ejpam-5383	86	12	,	,	PUNCT
ejpam-5383	86	13	v	v	NOUN
ejpam-5383	86	14	∈	∈	PROPN
ejpam-5383	86	15	v	v	NOUN
ejpam-5383	86	16	(	(	PUNCT
ejpam-5383	86	17	g	g	NOUN
ejpam-5383	86	18	)	)	PUNCT
ejpam-5383	86	19	;	;	PUNCT
ejpam-5383	86	20	(	(	PUNCT
ejpam-5383	86	21	ii	ii	NOUN
ejpam-5383	86	22	)	)	PUNCT
ejpam-5383	86	23	.	.	PUNCT
ejpam-5383	87	1	w(e	w(e	NOUN
ejpam-5383	87	2	)	)	PUNCT
ejpam-5383	87	3	̸=	̸=	PROPN
ejpam-5383	87	4	w(e′	w(e′	NOUN
ejpam-5383	87	5	)	)	PUNCT
ejpam-5383	87	6	for	for	ADP
ejpam-5383	87	7	any	any	DET
ejpam-5383	87	8	two	two	NUM
ejpam-5383	87	9	adjacent	adjacent	ADJ
ejpam-5383	87	10	edges	edge	NOUN
ejpam-5383	87	11	e	e	NOUN
ejpam-5383	87	12	=	=	NOUN
ejpam-5383	87	13	uv	uv	PROPN
ejpam-5383	87	14	,	,	PUNCT
ejpam-5383	87	15	e′	e′	X
ejpam-5383	87	16	=	=	PROPN
ejpam-5383	87	17	u′v′	u′v′	PROPN
ejpam-5383	87	18	∈	∈	PROPN
ejpam-5383	87	19	e(g	e(g	PROPN
ejpam-5383	87	20	)	)	PUNCT
ejpam-5383	87	21	;	;	PUNCT
ejpam-5383	87	22	and	and	CCONJ
ejpam-5383	87	23	(	(	PUNCT
ejpam-5383	87	24	iii	iii	NOUN
ejpam-5383	87	25	)	)	PUNCT
ejpam-5383	87	26	.	.	PUNCT
ejpam-5383	88	1	w(v	w(v	NOUN
ejpam-5383	88	2	)	)	PUNCT
ejpam-5383	88	3	̸=	̸=	PROPN
ejpam-5383	88	4	w(e	w(e	PROPN
ejpam-5383	88	5	)	)	PUNCT
ejpam-5383	88	6	for	for	ADP
ejpam-5383	88	7	any	any	DET
ejpam-5383	88	8	vertex	vertex	NOUN
ejpam-5383	88	9	v	v	ADP
ejpam-5383	88	10	∈	∈	NOUN
ejpam-5383	88	11	v	v	NOUN
ejpam-5383	88	12	(	(	PUNCT
ejpam-5383	88	13	g	g	NOUN
ejpam-5383	88	14	)	)	PUNCT
ejpam-5383	88	15	and	and	CCONJ
ejpam-5383	88	16	for	for	ADP
ejpam-5383	88	17	any	any	DET
ejpam-5383	88	18	edge	edge	NOUN
ejpam-5383	88	19	e	e	NOUN
ejpam-5383	88	20	=	=	PUNCT
ejpam-5383	88	21	uv	uv	PROPN
ejpam-5383	88	22	∈	∈	PROPN
ejpam-5383	88	23	e(g	e(g	PROPN
ejpam-5383	88	24	)	)	PUNCT
ejpam-5383	88	25	that	that	PRON
ejpam-5383	88	26	is	be	AUX
ejpam-5383	88	27	incident	incident	NOUN
ejpam-5383	88	28	to	to	ADP
ejpam-5383	88	29	the	the	DET
ejpam-5383	88	30	same	same	ADJ
ejpam-5383	88	31	vertex	vertex	NOUN
ejpam-5383	88	32	v.	v.	ADP
ejpam-5383	88	33	the	the	DET
ejpam-5383	88	34	weight	weight	NOUN
ejpam-5383	88	35	of	of	ADP
ejpam-5383	88	36	a	a	DET
ejpam-5383	88	37	vertex	vertex	NOUN
ejpam-5383	88	38	u	u	NOUN
ejpam-5383	88	39	is	be	AUX
ejpam-5383	88	40	defined	define	VERB
ejpam-5383	88	41	by	by	ADP
ejpam-5383	88	42	w(u	w(u	NOUN
ejpam-5383	88	43	)	)	PUNCT
ejpam-5383	89	1	=	=	SYM
ejpam-5383	89	2	∑	∑	PUNCT
ejpam-5383	89	3	e∈e(u	e∈e(u	PROPN
ejpam-5383	89	4	)	)	PUNCT
ejpam-5383	89	5	f(e	f(e	NOUN
ejpam-5383	89	6	)	)	PUNCT
ejpam-5383	89	7	,	,	PUNCT
ejpam-5383	89	8	where	where	SCONJ
ejpam-5383	89	9	e(u	e(u	PROPN
ejpam-5383	89	10	)	)	PUNCT
ejpam-5383	89	11	is	be	AUX
ejpam-5383	89	12	the	the	DET
ejpam-5383	89	13	set	set	NOUN
ejpam-5383	89	14	of	of	ADP
ejpam-5383	89	15	all	all	DET
ejpam-5383	89	16	incident	incident	NOUN
ejpam-5383	89	17	edges	edge	NOUN
ejpam-5383	89	18	of	of	ADP
ejpam-5383	89	19	a	a	DET
ejpam-5383	89	20	vertex	vertex	NOUN
ejpam-5383	89	21	u	u	NOUN
ejpam-5383	89	22	,	,	PUNCT
ejpam-5383	89	23	and	and	CCONJ
ejpam-5383	89	24	an	an	DET
ejpam-5383	89	25	edge	edge	NOUN
ejpam-5383	89	26	weight	weight	NOUN
ejpam-5383	89	27	is	be	AUX
ejpam-5383	89	28	w(xy	w(xy	PROPN
ejpam-5383	89	29	)	)	PUNCT
ejpam-5383	89	30	=	=	SYM
ejpam-5383	89	31	f(x	f(x	PROPN
ejpam-5383	89	32	)	)	PUNCT
ejpam-5383	90	1	+	+	SYM
ejpam-5383	90	2	f(y	f(y	NOUN
ejpam-5383	90	3	)	)	PUNCT
ejpam-5383	90	4	,	,	PUNCT
ejpam-5383	90	5	xy	xy	PROPN
ejpam-5383	90	6	∈	∈	PROPN
ejpam-5383	90	7	e(g	e(g	PROPN
ejpam-5383	90	8	)	)	PUNCT
ejpam-5383	90	9	.	.	PUNCT
ejpam-5383	91	1	v.	v.	ADP
ejpam-5383	91	2	sandhiya	sandhiya	PROPN
ejpam-5383	91	3	,	,	PUNCT
ejpam-5383	91	4	m.	m.	NOUN
ejpam-5383	91	5	nalliah	nalliah	PROPN
ejpam-5383	91	6	/	/	SYM
ejpam-5383	91	7	eur	eur	PROPN
ejpam-5383	91	8	.	.	PUNCT
ejpam-5383	92	1	j.	j.	PROPN
ejpam-5383	92	2	pure	pure	PROPN
ejpam-5383	92	3	appl	appl	PROPN
ejpam-5383	92	4	.	.	PROPN
ejpam-5383	92	5	math	math	PROPN
ejpam-5383	92	6	,	,	PUNCT
ejpam-5383	92	7	17	17	NUM
ejpam-5383	92	8	(	(	PUNCT
ejpam-5383	92	9	4	4	NUM
ejpam-5383	92	10	)	)	PUNCT
ejpam-5383	92	11	(	(	PUNCT
ejpam-5383	92	12	2024	2024	NUM
ejpam-5383	92	13	)	)	PUNCT
ejpam-5383	92	14	,	,	PUNCT
ejpam-5383	92	15	2828	2828	NUM
ejpam-5383	92	16	-	-	SYM
ejpam-5383	92	17	2842	2842	NUM
ejpam-5383	92	18	2831	2831	NUM
ejpam-5383	92	19	definition	definition	NOUN
ejpam-5383	92	20	6	6	NUM
ejpam-5383	92	21	.	.	PUNCT
ejpam-5383	93	1	[	[	X
ejpam-5383	93	2	35	35	NUM
ejpam-5383	93	3	]	]	PUNCT
ejpam-5383	93	4	the	the	DET
ejpam-5383	93	5	local	local	ADJ
ejpam-5383	93	6	total	total	ADJ
ejpam-5383	93	7	antimagic	antimagic	ADJ
ejpam-5383	93	8	chromatic	chromatic	ADJ
ejpam-5383	93	9	number	number	NOUN
ejpam-5383	93	10	is	be	AUX
ejpam-5383	93	11	the	the	DET
ejpam-5383	93	12	minimum	minimum	ADJ
ejpam-5383	93	13	number	number	NOUN
ejpam-5383	93	14	of	of	ADP
ejpam-5383	93	15	colors	color	NOUN
ejpam-5383	93	16	taken	take	VERB
ejpam-5383	93	17	over	over	ADP
ejpam-5383	93	18	all	all	DET
ejpam-5383	93	19	colorings	coloring	NOUN
ejpam-5383	93	20	induced	induce	VERB
ejpam-5383	93	21	by	by	ADP
ejpam-5383	93	22	local	local	ADJ
ejpam-5383	93	23	total	total	ADJ
ejpam-5383	93	24	antimagic	antimagic	ADJ
ejpam-5383	93	25	colorings	coloring	NOUN
ejpam-5383	93	26	of	of	ADP
ejpam-5383	93	27	g	g	NOUN
ejpam-5383	93	28	,	,	PUNCT
ejpam-5383	93	29	which	which	PRON
ejpam-5383	93	30	is	be	AUX
ejpam-5383	93	31	denoted	denote	VERB
ejpam-5383	93	32	by	by	ADP
ejpam-5383	93	33	χlt(g	χlt(g	NOUN
ejpam-5383	93	34	)	)	PUNCT
ejpam-5383	93	35	.	.	PUNCT
ejpam-5383	94	1	observation	observation	NOUN
ejpam-5383	94	2	1	1	NUM
ejpam-5383	94	3	.	.	PUNCT
ejpam-5383	95	1	[	[	X
ejpam-5383	95	2	35	35	NUM
ejpam-5383	95	3	]	]	X
ejpam-5383	95	4	if	if	SCONJ
ejpam-5383	95	5	g	g	PROPN
ejpam-5383	95	6	admits	admit	VERB
ejpam-5383	95	7	a	a	DET
ejpam-5383	95	8	local	local	ADJ
ejpam-5383	95	9	total	total	ADJ
ejpam-5383	95	10	antimagic	antimagic	ADJ
ejpam-5383	95	11	coloring	coloring	NOUN
ejpam-5383	95	12	,	,	PUNCT
ejpam-5383	95	13	then	then	ADV
ejpam-5383	95	14	χlt(g	χlt(g	PROPN
ejpam-5383	95	15	)	)	PUNCT
ejpam-5383	95	16	≥	≥	NOUN
ejpam-5383	95	17	χt(g	χt(g	NOUN
ejpam-5383	95	18	)	)	PUNCT
ejpam-5383	95	19	.	.	PUNCT
ejpam-5383	96	1	observation	observation	NOUN
ejpam-5383	96	2	2	2	NUM
ejpam-5383	96	3	.	.	PUNCT
ejpam-5383	97	1	[	[	X
ejpam-5383	97	2	35	35	NUM
ejpam-5383	97	3	]	]	PUNCT
ejpam-5383	97	4	the	the	DET
ejpam-5383	97	5	graph	graph	NOUN
ejpam-5383	97	6	k2	k2	PROPN
ejpam-5383	97	7	does	do	AUX
ejpam-5383	97	8	not	not	PART
ejpam-5383	97	9	admit	admit	VERB
ejpam-5383	97	10	a	a	DET
ejpam-5383	97	11	local	local	ADJ
ejpam-5383	97	12	total	total	ADJ
ejpam-5383	97	13	antimagic	antimagic	ADJ
ejpam-5383	97	14	labeling	labeling	NOUN
ejpam-5383	97	15	.	.	PUNCT
ejpam-5383	98	1	theorem	theorem	NOUN
ejpam-5383	98	2	1	1	NUM
ejpam-5383	98	3	.	.	PUNCT
ejpam-5383	99	1	[	[	X
ejpam-5383	99	2	35	35	NUM
ejpam-5383	99	3	]	]	PUNCT
ejpam-5383	99	4	let	let	VERB
ejpam-5383	99	5	g	g	PRON
ejpam-5383	99	6	be	be	AUX
ejpam-5383	99	7	a	a	DET
ejpam-5383	99	8	graph	graph	NOUN
ejpam-5383	99	9	with	with	ADP
ejpam-5383	99	10	at	at	ADV
ejpam-5383	99	11	least	least	ADV
ejpam-5383	99	12	three	three	NUM
ejpam-5383	99	13	vertices	vertex	NOUN
ejpam-5383	99	14	and	and	CCONJ
ejpam-5383	99	15	k	k	PROPN
ejpam-5383	99	16	pendants	pendant	NOUN
ejpam-5383	99	17	.	.	PUNCT
ejpam-5383	100	1	then	then	ADV
ejpam-5383	100	2	χlt(g	χlt(g	PROPN
ejpam-5383	100	3	)	)	PUNCT
ejpam-5383	100	4	≥	≥	NOUN
ejpam-5383	100	5	k	k	X
ejpam-5383	101	1	+	+	CCONJ
ejpam-5383	101	2	1	1	X
ejpam-5383	101	3	.	.	X
ejpam-5383	101	4	theorem	theorem	NOUN
ejpam-5383	101	5	2	2	NUM
ejpam-5383	101	6	.	.	PUNCT
ejpam-5383	102	1	[	[	X
ejpam-5383	102	2	35	35	NUM
ejpam-5383	102	3	]	]	PUNCT
ejpam-5383	102	4	for	for	ADP
ejpam-5383	102	5	the	the	DET
ejpam-5383	102	6	star	star	NOUN
ejpam-5383	102	7	graph	graph	PROPN
ejpam-5383	102	8	k1,n	k1,n	PROPN
ejpam-5383	102	9	,	,	PUNCT
ejpam-5383	102	10	we	we	PRON
ejpam-5383	102	11	have	have	VERB
ejpam-5383	102	12	χlt(k1,n	χlt(k1,n	PROPN
ejpam-5383	102	13	)	)	PUNCT
ejpam-5383	103	1	=	=	PUNCT
ejpam-5383	103	2	n+	n+	PUNCT
ejpam-5383	103	3	1	1	X
ejpam-5383	103	4	.	.	X
ejpam-5383	103	5	theorem	theorem	NOUN
ejpam-5383	103	6	3	3	NUM
ejpam-5383	103	7	.	.	PUNCT
ejpam-5383	104	1	[	[	X
ejpam-5383	104	2	35	35	NUM
ejpam-5383	104	3	]	]	PUNCT
ejpam-5383	104	4	for	for	ADP
ejpam-5383	104	5	the	the	DET
ejpam-5383	104	6	double	double	ADJ
ejpam-5383	104	7	star	star	NOUN
ejpam-5383	104	8	graph	graph	NOUN
ejpam-5383	104	9	sn	sn	PROPN
ejpam-5383	104	10	,	,	PUNCT
ejpam-5383	104	11	n	n	CCONJ
ejpam-5383	104	12	,	,	PUNCT
ejpam-5383	104	13	n	n	X
ejpam-5383	104	14	>	>	X
ejpam-5383	104	15	5	5	NUM
ejpam-5383	104	16	,	,	PUNCT
ejpam-5383	104	17	we	we	PRON
ejpam-5383	104	18	have	have	AUX
ejpam-5383	104	19	χlt(sn	χlt(sn	VERB
ejpam-5383	104	20	,	,	PUNCT
ejpam-5383	104	21	n	n	CCONJ
ejpam-5383	104	22	)	)	PUNCT
ejpam-5383	105	1	=	=	SYM
ejpam-5383	105	2	2n+	2n+	NUM
ejpam-5383	105	3	2	2	NUM
ejpam-5383	105	4	.	.	PUNCT
ejpam-5383	106	1	martin	martin	PROPN
ejpam-5383	106	2	bača	bača	PROPN
ejpam-5383	107	1	[	[	X
ejpam-5383	107	2	7	7	NUM
ejpam-5383	107	3	]	]	PUNCT
ejpam-5383	107	4	,	,	PUNCT
ejpam-5383	107	5	estimated	estimate	VERB
ejpam-5383	107	6	the	the	DET
ejpam-5383	107	7	bounds	bound	NOUN
ejpam-5383	107	8	of	of	ADP
ejpam-5383	107	9	the	the	DET
ejpam-5383	107	10	local	local	ADJ
ejpam-5383	107	11	antimagic	antimagic	ADJ
ejpam-5383	107	12	chromatic	chromatic	ADJ
ejpam-5383	107	13	number	number	NOUN
ejpam-5383	107	14	for	for	ADP
ejpam-5383	107	15	the	the	DET
ejpam-5383	107	16	disjoint	disjoint	PROPN
ejpam-5383	107	17	union	union	NOUN
ejpam-5383	107	18	of	of	ADP
ejpam-5383	107	19	multiple	multiple	ADJ
ejpam-5383	107	20	copies	copy	NOUN
ejpam-5383	107	21	of	of	ADP
ejpam-5383	107	22	graphs	graph	NOUN
ejpam-5383	107	23	and	and	CCONJ
ejpam-5383	107	24	obtained	obtain	VERB
ejpam-5383	107	25	the	the	DET
ejpam-5383	107	26	local	local	ADJ
ejpam-5383	107	27	antimagic	antimagic	ADJ
ejpam-5383	107	28	chromatic	chromatic	ADJ
ejpam-5383	107	29	number	number	NOUN
ejpam-5383	107	30	for	for	ADP
ejpam-5383	107	31	the	the	DET
ejpam-5383	107	32	disjoint	disjoint	PROPN
ejpam-5383	107	33	union	union	NOUN
ejpam-5383	107	34	of	of	ADP
ejpam-5383	107	35	stars	star	NOUN
ejpam-5383	107	36	,	,	PUNCT
ejpam-5383	107	37	cycles	cycle	NOUN
ejpam-5383	107	38	and	and	CCONJ
ejpam-5383	107	39	caterpillar	caterpillar	ADJ
ejpam-5383	107	40	graphs	graph	NOUN
ejpam-5383	107	41	.	.	PUNCT
ejpam-5383	108	1	rajkumar	rajkumar	PROPN
ejpam-5383	108	2	and	and	CCONJ
ejpam-5383	108	3	nalliah	nalliah	PROPN
ejpam-5383	109	1	[	[	X
ejpam-5383	109	2	31	31	NUM
ejpam-5383	109	3	]	]	PUNCT
ejpam-5383	109	4	found	find	VERB
ejpam-5383	109	5	the	the	DET
ejpam-5383	109	6	local	local	ADJ
ejpam-5383	109	7	edge	edge	NOUN
ejpam-5383	109	8	antimagic	antimagic	ADJ
ejpam-5383	109	9	chromatic	chromatic	ADJ
ejpam-5383	109	10	number	number	NOUN
ejpam-5383	109	11	for	for	ADP
ejpam-5383	109	12	the	the	DET
ejpam-5383	109	13	disjoint	disjoint	PROPN
ejpam-5383	109	14	union	union	PROPN
ejpam-5383	109	15	of	of	ADP
ejpam-5383	109	16	star	star	NOUN
ejpam-5383	109	17	graphs	graph	NOUN
ejpam-5383	109	18	,	,	PUNCT
ejpam-5383	109	19	ladder	ladder	NOUN
ejpam-5383	109	20	graph	graph	NOUN
ejpam-5383	109	21	and	and	CCONJ
ejpam-5383	109	22	cycle	cycle	NOUN
ejpam-5383	109	23	graph	graph	NOUN
ejpam-5383	109	24	.	.	PUNCT
ejpam-5383	110	1	the	the	DET
ejpam-5383	110	2	disjoint	disjoint	PROPN
ejpam-5383	110	3	union	union	PROPN
ejpam-5383	110	4	of	of	ADP
ejpam-5383	110	5	star	star	NOUN
ejpam-5383	110	6	graphs	graph	NOUN
ejpam-5383	110	7	is	be	AUX
ejpam-5383	110	8	used	use	VERB
ejpam-5383	110	9	to	to	PART
ejpam-5383	110	10	model	model	VERB
ejpam-5383	110	11	and	and	CCONJ
ejpam-5383	110	12	analyze	analyze	VERB
ejpam-5383	110	13	communication	communication	NOUN
ejpam-5383	110	14	networks	network	NOUN
ejpam-5383	110	15	,	,	PUNCT
ejpam-5383	110	16	where	where	SCONJ
ejpam-5383	110	17	each	each	DET
ejpam-5383	110	18	star	star	NOUN
ejpam-5383	110	19	graph	graph	NOUN
ejpam-5383	110	20	represents	represent	VERB
ejpam-5383	110	21	a	a	DET
ejpam-5383	110	22	central	central	ADJ
ejpam-5383	110	23	hub	hub	NOUN
ejpam-5383	110	24	connected	connect	VERB
ejpam-5383	110	25	to	to	ADP
ejpam-5383	110	26	several	several	ADJ
ejpam-5383	110	27	nodes	node	NOUN
ejpam-5383	110	28	.	.	PUNCT
ejpam-5383	111	1	many	many	ADJ
ejpam-5383	111	2	authors	author	NOUN
ejpam-5383	111	3	found	find	VERB
ejpam-5383	111	4	the	the	DET
ejpam-5383	111	5	different	different	ADJ
ejpam-5383	111	6	types	type	NOUN
ejpam-5383	111	7	of	of	ADP
ejpam-5383	111	8	antimagic	antimagic	ADJ
ejpam-5383	111	9	chromatic	chromatic	ADJ
ejpam-5383	111	10	numbers	number	NOUN
ejpam-5383	111	11	for	for	ADP
ejpam-5383	111	12	the	the	DET
ejpam-5383	111	13	union	union	NOUN
ejpam-5383	111	14	of	of	ADP
ejpam-5383	111	15	star	star	NOUN
ejpam-5383	111	16	graphs	graph	NOUN
ejpam-5383	111	17	.	.	PUNCT
ejpam-5383	112	1	in	in	ADP
ejpam-5383	112	2	this	this	DET
ejpam-5383	112	3	paper	paper	NOUN
ejpam-5383	112	4	,	,	PUNCT
ejpam-5383	112	5	we	we	PRON
ejpam-5383	112	6	determine	determine	VERB
ejpam-5383	112	7	the	the	DET
ejpam-5383	112	8	local	local	ADJ
ejpam-5383	112	9	total	total	ADJ
ejpam-5383	112	10	antimagic	antimagic	ADJ
ejpam-5383	112	11	chromatic	chromatic	ADJ
ejpam-5383	112	12	number	number	NOUN
ejpam-5383	112	13	of	of	ADP
ejpam-5383	112	14	disjoint	disjoint	PROPN
ejpam-5383	112	15	union	union	PROPN
ejpam-5383	112	16	of	of	ADP
ejpam-5383	112	17	star	star	PROPN
ejpam-5383	112	18	graph	graph	NOUN
ejpam-5383	112	19	mk1,n	mk1,n	NOUN
ejpam-5383	112	20	.	.	PUNCT
ejpam-5383	113	1	2	2	NUM
ejpam-5383	113	2	.	.	X
ejpam-5383	113	3	main	main	ADJ
ejpam-5383	113	4	results	result	NOUN
ejpam-5383	113	5	let	let	VERB
ejpam-5383	113	6	a	a	PRON
ejpam-5383	113	7	and	and	CCONJ
ejpam-5383	113	8	b	b	NOUN
ejpam-5383	113	9	be	be	AUX
ejpam-5383	113	10	two	two	NUM
ejpam-5383	113	11	positive	positive	ADJ
ejpam-5383	113	12	integers	integer	NOUN
ejpam-5383	113	13	with	with	ADP
ejpam-5383	113	14	a	a	DET
ejpam-5383	113	15	<	<	X
ejpam-5383	113	16	b	b	NOUN
ejpam-5383	113	17	,	,	PUNCT
ejpam-5383	113	18	we	we	PRON
ejpam-5383	113	19	denote	denote	VERB
ejpam-5383	113	20	[	[	X
ejpam-5383	113	21	a	a	X
ejpam-5383	113	22	,	,	PUNCT
ejpam-5383	113	23	b	b	NOUN
ejpam-5383	113	24	]	]	X
ejpam-5383	113	25	=	=	X
ejpam-5383	113	26	{	{	PUNCT
ejpam-5383	113	27	a	a	PRON
ejpam-5383	113	28	,	,	PUNCT
ejpam-5383	113	29	a+1	a+1	PROPN
ejpam-5383	113	30	,	,	PUNCT
ejpam-5383	113	31	...	...	PUNCT
ejpam-5383	113	32	,	,	PUNCT
ejpam-5383	113	33	b−1	b−1	PROPN
ejpam-5383	113	34	,	,	PUNCT
ejpam-5383	113	35	b	b	NOUN
ejpam-5383	113	36	}	}	PUNCT
ejpam-5383	113	37	and	and	CCONJ
ejpam-5383	113	38	c−	c−	NOUN
ejpam-5383	113	39	set	set	NOUN
ejpam-5383	113	40	denotes	denote	VERB
ejpam-5383	113	41	the	the	DET
ejpam-5383	113	42	set	set	NOUN
ejpam-5383	113	43	of	of	ADP
ejpam-5383	113	44	corresponding	correspond	VERB
ejpam-5383	113	45	values	value	NOUN
ejpam-5383	113	46	taken	take	VERB
ejpam-5383	113	47	by	by	ADP
ejpam-5383	113	48	the	the	DET
ejpam-5383	113	49	formula	formula	NOUN
ejpam-5383	113	50	f	f	NOUN
ejpam-5383	113	51	or	or	CCONJ
ejpam-5383	113	52	(	(	PUNCT
ejpam-5383	113	53	w	w	NOUN
ejpam-5383	113	54	)	)	PUNCT
ejpam-5383	113	55	.	.	PUNCT
ejpam-5383	114	1	proposition	proposition	NOUN
ejpam-5383	114	2	1	1	NUM
ejpam-5383	114	3	.	.	PUNCT
ejpam-5383	115	1	the	the	DET
ejpam-5383	115	2	graph	graph	NOUN
ejpam-5383	115	3	mk2	mk2	NOUN
ejpam-5383	115	4	is	be	AUX
ejpam-5383	115	5	not	not	PART
ejpam-5383	115	6	a	a	DET
ejpam-5383	115	7	local	local	ADJ
ejpam-5383	115	8	total	total	ADJ
ejpam-5383	115	9	antimagic	antimagic	NOUN
ejpam-5383	115	10	.	.	PUNCT
ejpam-5383	116	1	proof	proof	NOUN
ejpam-5383	116	2	.	.	PUNCT
ejpam-5383	117	1	let	let	VERB
ejpam-5383	117	2	v	v	NOUN
ejpam-5383	117	3	(	(	PUNCT
ejpam-5383	117	4	mk2	mk2	PROPN
ejpam-5383	117	5	)	)	PUNCT
ejpam-5383	117	6	=	=	PRON
ejpam-5383	117	7	{	{	PUNCT
ejpam-5383	117	8	ui	ui	PROPN
ejpam-5383	117	9	,	,	PUNCT
ejpam-5383	117	10	vi	vi	PROPN
ejpam-5383	117	11	,	,	PUNCT
ejpam-5383	117	12	1	1	NUM
ejpam-5383	117	13	≤	≤	NUM
ejpam-5383	117	14	i	i	X
ejpam-5383	117	15	≤	≤	NOUN
ejpam-5383	117	16	m	m	VERB
ejpam-5383	117	17	}	}	PUNCT
ejpam-5383	117	18	and	and	CCONJ
ejpam-5383	117	19	e(mk2	e(mk2	VERB
ejpam-5383	117	20	)	)	PUNCT
ejpam-5383	117	21	=	=	SYM
ejpam-5383	117	22	{	{	PUNCT
ejpam-5383	117	23	uivi	uivi	NOUN
ejpam-5383	117	24	,	,	PUNCT
ejpam-5383	117	25	1	1	NUM
ejpam-5383	117	26	≤	≤	NUM
ejpam-5383	117	27	i	i	X
ejpam-5383	117	28	≤	≤	NOUN
ejpam-5383	117	29	m	m	VERB
ejpam-5383	117	30	}	}	PUNCT
ejpam-5383	117	31	be	be	AUX
ejpam-5383	117	32	the	the	DET
ejpam-5383	117	33	vertex	vertex	NOUN
ejpam-5383	117	34	and	and	CCONJ
ejpam-5383	117	35	edge	edge	NOUN
ejpam-5383	117	36	sets	set	NOUN
ejpam-5383	117	37	of	of	ADP
ejpam-5383	117	38	mk2	mk2	PROPN
ejpam-5383	117	39	.	.	PUNCT
ejpam-5383	118	1	then	then	ADV
ejpam-5383	118	2	|v	|v	PROPN
ejpam-5383	118	3	(	(	PUNCT
ejpam-5383	118	4	mk2)|	mk2)|	NOUN
ejpam-5383	118	5	=	=	SYM
ejpam-5383	118	6	2	2	NUM
ejpam-5383	118	7	m	m	NOUN
ejpam-5383	118	8	and	and	CCONJ
ejpam-5383	118	9	|e(mk2)|	|e(mk2)|	PUNCT
ejpam-5383	118	10	=	=	SYM
ejpam-5383	118	11	m.	m.	NOUN
ejpam-5383	118	12	suppose	suppose	VERB
ejpam-5383	118	13	the	the	DET
ejpam-5383	118	14	graph	graph	NOUN
ejpam-5383	118	15	g	g	NOUN
ejpam-5383	118	16	=	=	SYM
ejpam-5383	118	17	mk2	mk2	PROPN
ejpam-5383	118	18	admits	admit	VERB
ejpam-5383	118	19	a	a	DET
ejpam-5383	118	20	local	local	ADJ
ejpam-5383	118	21	total	total	ADJ
ejpam-5383	118	22	antimagic	antimagic	ADJ
ejpam-5383	118	23	labeling	labeling	NOUN
ejpam-5383	118	24	.	.	PUNCT
ejpam-5383	119	1	then	then	ADV
ejpam-5383	119	2	there	there	PRON
ejpam-5383	119	3	exists	exist	VERB
ejpam-5383	119	4	a	a	DET
ejpam-5383	119	5	local	local	ADJ
ejpam-5383	119	6	total	total	ADJ
ejpam-5383	119	7	antimagic	antimagic	ADJ
ejpam-5383	119	8	labeling	labeling	NOUN
ejpam-5383	119	9	f	f	NOUN
ejpam-5383	119	10	:	:	PUNCT
ejpam-5383	119	11	v	v	X
ejpam-5383	119	12	(	(	PUNCT
ejpam-5383	119	13	mk2	mk2	PROPN
ejpam-5383	119	14	)	)	PUNCT
ejpam-5383	119	15	∪e(mk2	∪e(mk2	NOUN
ejpam-5383	119	16	)	)	PUNCT
ejpam-5383	119	17	→	→	PUNCT
ejpam-5383	119	18	{	{	PUNCT
ejpam-5383	119	19	1	1	NUM
ejpam-5383	119	20	,	,	PUNCT
ejpam-5383	119	21	2	2	NUM
ejpam-5383	119	22	,	,	PUNCT
ejpam-5383	119	23	3	3	NUM
ejpam-5383	119	24	,	,	PUNCT
ejpam-5383	119	25	...	...	PUNCT
ejpam-5383	119	26	,	,	PUNCT
ejpam-5383	119	27	3	3	NUM
ejpam-5383	119	28	m	m	NOUN
ejpam-5383	119	29	}	}	PUNCT
ejpam-5383	119	30	.	.	PUNCT
ejpam-5383	120	1	let	let	VERB
ejpam-5383	120	2	e	e	NOUN
ejpam-5383	120	3	=	=	NOUN
ejpam-5383	120	4	uv	uv	PROPN
ejpam-5383	120	5	∈	∈	PROPN
ejpam-5383	120	6	e(mk2	e(mk2	VERB
ejpam-5383	120	7	)	)	PUNCT
ejpam-5383	120	8	with	with	ADP
ejpam-5383	120	9	label	label	NOUN
ejpam-5383	120	10	f(e	f(e	NOUN
ejpam-5383	120	11	)	)	PUNCT
ejpam-5383	120	12	.	.	PUNCT
ejpam-5383	121	1	then	then	ADV
ejpam-5383	121	2	w(u	w(u	X
ejpam-5383	121	3	)	)	PUNCT
ejpam-5383	121	4	=	=	SYM
ejpam-5383	121	5	w(v	w(v	NOUN
ejpam-5383	121	6	)	)	PUNCT
ejpam-5383	121	7	=	=	SYM
ejpam-5383	121	8	f(e	f(e	NOUN
ejpam-5383	121	9	)	)	PUNCT
ejpam-5383	121	10	,	,	PUNCT
ejpam-5383	121	11	which	which	PRON
ejpam-5383	121	12	is	be	AUX
ejpam-5383	121	13	a	a	DET
ejpam-5383	121	14	contradiction	contradiction	NOUN
ejpam-5383	121	15	that	that	PRON
ejpam-5383	121	16	adjacent	adjacent	ADJ
ejpam-5383	121	17	vertices	vertice	VERB
ejpam-5383	121	18	u	u	NOUN
ejpam-5383	121	19	and	and	CCONJ
ejpam-5383	121	20	v	v	NOUN
ejpam-5383	121	21	received	receive	VERB
ejpam-5383	121	22	the	the	DET
ejpam-5383	121	23	same	same	ADJ
ejpam-5383	121	24	weight	weight	NOUN
ejpam-5383	121	25	.	.	PUNCT
ejpam-5383	122	1	thus	thus	ADV
ejpam-5383	122	2	,	,	PUNCT
ejpam-5383	122	3	mk2	mk2	NOUN
ejpam-5383	122	4	has	have	VERB
ejpam-5383	122	5	no	no	DET
ejpam-5383	122	6	local	local	ADJ
ejpam-5383	122	7	total	total	ADJ
ejpam-5383	122	8	antimagic	antimagic	ADJ
ejpam-5383	122	9	labeling	labeling	NOUN
ejpam-5383	122	10	f	f	X
ejpam-5383	122	11	.	.	PUNCT
ejpam-5383	123	1	theorem	theorem	ADJ
ejpam-5383	123	2	4	4	NUM
ejpam-5383	123	3	.	.	PUNCT
ejpam-5383	124	1	let	let	VERB
ejpam-5383	124	2	g	g	PROPN
ejpam-5383	124	3	=	=	PUNCT
ejpam-5383	124	4	mk1,2	mk1,2	NOUN
ejpam-5383	124	5	be	be	AUX
ejpam-5383	124	6	the	the	DET
ejpam-5383	124	7	disjoint	disjoint	PROPN
ejpam-5383	124	8	union	union	NOUN
ejpam-5383	124	9	of	of	ADP
ejpam-5383	124	10	m	m	PROPN
ejpam-5383	124	11	copies	copy	NOUN
ejpam-5383	124	12	of	of	ADP
ejpam-5383	124	13	star	star	PROPN
ejpam-5383	124	14	k1,2	k1,2	PROPN
ejpam-5383	124	15	.	.	PUNCT
ejpam-5383	125	1	then	then	ADV
ejpam-5383	125	2	χlt(mk1,2	χlt(mk1,2	ADJ
ejpam-5383	125	3	)	)	PUNCT
ejpam-5383	125	4	=	=	SYM
ejpam-5383	125	5	2m+	2m+	NUM
ejpam-5383	125	6	1	1	NUM
ejpam-5383	125	7	.	.	PUNCT
ejpam-5383	126	1	proof	proof	NOUN
ejpam-5383	126	2	.	.	PUNCT
ejpam-5383	127	1	let	let	VERB
ejpam-5383	127	2	v	v	NOUN
ejpam-5383	127	3	(	(	PUNCT
ejpam-5383	127	4	mk1,2	mk1,2	NOUN
ejpam-5383	127	5	)	)	PUNCT
ejpam-5383	127	6	=	=	PRON
ejpam-5383	127	7	{	{	PUNCT
ejpam-5383	127	8	cj	cj	PROPN
ejpam-5383	127	9	,	,	PUNCT
ejpam-5383	127	10	uj1	uj1	PROPN
ejpam-5383	127	11	,	,	PUNCT
ejpam-5383	127	12	u	u	PROPN
ejpam-5383	127	13	j	j	PROPN
ejpam-5383	127	14	2	2	NUM
ejpam-5383	127	15	,	,	PUNCT
ejpam-5383	127	16	1	1	NUM
ejpam-5383	127	17	≤	≤	NUM
ejpam-5383	127	18	j	j	PROPN
ejpam-5383	127	19	≤	≤	PROPN
ejpam-5383	127	20	m	m	PROPN
ejpam-5383	127	21	}	}	PUNCT
ejpam-5383	127	22	and	and	CCONJ
ejpam-5383	127	23	e(mk1,2	e(mk1,2	PROPN
ejpam-5383	127	24	)	)	PUNCT
ejpam-5383	127	25	=	=	PRON
ejpam-5383	127	26	{	{	PUNCT
ejpam-5383	127	27	cjuj1	cjuj1	NOUN
ejpam-5383	127	28	,	,	PUNCT
ejpam-5383	127	29	cju	cju	X
ejpam-5383	127	30	j	j	PROPN
ejpam-5383	127	31	2	2	NUM
ejpam-5383	127	32	,	,	PUNCT
ejpam-5383	127	33	1	1	NUM
ejpam-5383	127	34	≤	≤	NUM
ejpam-5383	128	1	j	j	PROPN
ejpam-5383	128	2	≤	≤	PROPN
ejpam-5383	128	3	m	m	VERB
ejpam-5383	128	4	}	}	PUNCT
ejpam-5383	128	5	be	be	AUX
ejpam-5383	128	6	the	the	DET
ejpam-5383	128	7	vertex	vertex	NOUN
ejpam-5383	128	8	and	and	CCONJ
ejpam-5383	128	9	edge	edge	NOUN
ejpam-5383	128	10	sets	set	NOUN
ejpam-5383	128	11	of	of	ADP
ejpam-5383	128	12	mk1,2	mk1,2	NOUN
ejpam-5383	128	13	.	.	PUNCT
ejpam-5383	129	1	then	then	ADV
ejpam-5383	129	2	|v	|v	PROPN
ejpam-5383	129	3	(	(	PUNCT
ejpam-5383	129	4	mk1,2)|	mk1,2)|	PROPN
ejpam-5383	129	5	=	=	SYM
ejpam-5383	129	6	3	3	NUM
ejpam-5383	129	7	m	m	NOUN
ejpam-5383	129	8	and	and	CCONJ
ejpam-5383	129	9	|e(mk1,2)|	|e(mk1,2)|	PROPN
ejpam-5383	129	10	=	=	SYM
ejpam-5383	129	11	2	2	NUM
ejpam-5383	129	12	m.	m.	NOUN
ejpam-5383	129	13	define	define	VERB
ejpam-5383	129	14	a	a	DET
ejpam-5383	129	15	labeling	labeling	NOUN
ejpam-5383	129	16	f	f	NOUN
ejpam-5383	129	17	:	:	PUNCT
ejpam-5383	129	18	v	v	X
ejpam-5383	129	19	(	(	PUNCT
ejpam-5383	129	20	mk1,2	mk1,2	NOUN
ejpam-5383	129	21	)	)	PUNCT
ejpam-5383	129	22	∪	∪	PROPN
ejpam-5383	129	23	e(mk1,2	e(mk1,2	PROPN
ejpam-5383	129	24	)	)	PUNCT
ejpam-5383	129	25	→	→	PUNCT
ejpam-5383	129	26	{	{	PUNCT
ejpam-5383	129	27	1	1	NUM
ejpam-5383	129	28	,	,	PUNCT
ejpam-5383	129	29	2	2	NUM
ejpam-5383	129	30	,	,	PUNCT
ejpam-5383	129	31	3	3	NUM
ejpam-5383	129	32	,	,	PUNCT
ejpam-5383	129	33	...	...	PUNCT
ejpam-5383	129	34	,	,	PUNCT
ejpam-5383	129	35	5	5	NUM
ejpam-5383	129	36	m	m	VERB
ejpam-5383	129	37	}	}	PUNCT
ejpam-5383	129	38	by	by	ADP
ejpam-5383	129	39	f(uji	f(uji	NOUN
ejpam-5383	129	40	)	)	PUNCT
ejpam-5383	130	1	=	=	PRON
ejpam-5383	130	2	{	{	PUNCT
ejpam-5383	130	3	j	j	NOUN
ejpam-5383	130	4	,	,	PUNCT
ejpam-5383	130	5	i	i	PRON
ejpam-5383	130	6	=	=	NOUN
ejpam-5383	130	7	1	1	NUM
ejpam-5383	130	8	,	,	PUNCT
ejpam-5383	130	9	1	1	NUM
ejpam-5383	130	10	≤	≤	NUM
ejpam-5383	130	11	j	j	PROPN
ejpam-5383	130	12	≤	≤	PROPN
ejpam-5383	130	13	m	m	PROPN
ejpam-5383	130	14	,	,	PUNCT
ejpam-5383	130	15	c	c	X
ejpam-5383	130	16	-	-	PUNCT
ejpam-5383	130	17	set	set	NOUN
ejpam-5383	130	18	is	be	AUX
ejpam-5383	130	19	{	{	PUNCT
ejpam-5383	130	20	1	1	NUM
ejpam-5383	130	21	,	,	PUNCT
ejpam-5383	130	22	2	2	NUM
ejpam-5383	130	23	,	,	PUNCT
ejpam-5383	130	24	3	3	NUM
ejpam-5383	130	25	,	,	PUNCT
ejpam-5383	130	26	...	...	PUNCT
ejpam-5383	130	27	,	,	PUNCT
ejpam-5383	130	28	m−	m−	PROPN
ejpam-5383	130	29	1,m	1,m	PROPN
ejpam-5383	130	30	}	}	PUNCT
ejpam-5383	130	31	m+	m+	NUM
ejpam-5383	130	32	j	j	PROPN
ejpam-5383	130	33	,	,	PUNCT
ejpam-5383	130	34	i	i	PRON
ejpam-5383	130	35	=	=	NOUN
ejpam-5383	130	36	2	2	NUM
ejpam-5383	130	37	,	,	PUNCT
ejpam-5383	130	38	1	1	NUM
ejpam-5383	130	39	≤	≤	NUM
ejpam-5383	130	40	j	j	PROPN
ejpam-5383	130	41	≤	≤	PROPN
ejpam-5383	130	42	m	m	PROPN
ejpam-5383	130	43	,	,	PUNCT
ejpam-5383	130	44	c	c	X
ejpam-5383	130	45	-	-	PUNCT
ejpam-5383	130	46	set	set	NOUN
ejpam-5383	130	47	is	be	AUX
ejpam-5383	130	48	{	{	PUNCT
ejpam-5383	130	49	m+	m+	NOUN
ejpam-5383	130	50	1,m+	1,m+	NUM
ejpam-5383	130	51	2	2	NUM
ejpam-5383	130	52	,	,	PUNCT
ejpam-5383	130	53	...	...	PUNCT
ejpam-5383	130	54	,	,	PUNCT
ejpam-5383	130	55	2	2	NUM
ejpam-5383	130	56	m	m	NOUN
ejpam-5383	130	57	}	}	PUNCT
ejpam-5383	130	58	v.	v.	ADP
ejpam-5383	130	59	sandhiya	sandhiya	PROPN
ejpam-5383	130	60	,	,	PUNCT
ejpam-5383	130	61	m.	m.	NOUN
ejpam-5383	130	62	nalliah	nalliah	PROPN
ejpam-5383	130	63	/	/	SYM
ejpam-5383	130	64	eur	eur	PROPN
ejpam-5383	130	65	.	.	PUNCT
ejpam-5383	131	1	j.	j.	PROPN
ejpam-5383	131	2	pure	pure	PROPN
ejpam-5383	131	3	appl	appl	PROPN
ejpam-5383	131	4	.	.	PROPN
ejpam-5383	131	5	math	math	PROPN
ejpam-5383	131	6	,	,	PUNCT
ejpam-5383	131	7	17	17	NUM
ejpam-5383	131	8	(	(	PUNCT
ejpam-5383	131	9	4	4	NUM
ejpam-5383	131	10	)	)	PUNCT
ejpam-5383	131	11	(	(	PUNCT
ejpam-5383	131	12	2024	2024	NUM
ejpam-5383	131	13	)	)	PUNCT
ejpam-5383	131	14	,	,	PUNCT
ejpam-5383	131	15	2828	2828	NUM
ejpam-5383	131	16	-	-	SYM
ejpam-5383	131	17	2842	2842	NUM
ejpam-5383	131	18	2832	2832	NUM
ejpam-5383	131	19	f(cj	f(cj	NOUN
ejpam-5383	131	20	)	)	PUNCT
ejpam-5383	131	21	=	=	SYM
ejpam-5383	132	1	3m+	3m+	NUM
ejpam-5383	132	2	1−	1−	NUM
ejpam-5383	132	3	j	j	PROPN
ejpam-5383	132	4	,	,	PUNCT
ejpam-5383	132	5	1	1	NUM
ejpam-5383	132	6	≤	≤	NUM
ejpam-5383	132	7	j	j	PROPN
ejpam-5383	132	8	≤	≤	PROPN
ejpam-5383	132	9	m	m	PROPN
ejpam-5383	132	10	,	,	PUNCT
ejpam-5383	132	11	c	c	X
ejpam-5383	132	12	-	-	PUNCT
ejpam-5383	132	13	set	set	NOUN
ejpam-5383	132	14	is	be	AUX
ejpam-5383	132	15	{	{	PUNCT
ejpam-5383	132	16	3	3	NUM
ejpam-5383	132	17	m	m	PROPN
ejpam-5383	132	18	,	,	PUNCT
ejpam-5383	132	19	3m−	3m−	PROPN
ejpam-5383	132	20	1	1	NUM
ejpam-5383	132	21	,	,	PUNCT
ejpam-5383	132	22	...	...	PUNCT
ejpam-5383	132	23	,	,	PUNCT
ejpam-5383	132	24	2m+	2m+	NUM
ejpam-5383	132	25	1	1	NUM
ejpam-5383	132	26	}	}	PUNCT
ejpam-5383	132	27	f(cju	f(cju	NOUN
ejpam-5383	132	28	j	j	PROPN
ejpam-5383	132	29	i	i	PROPN
ejpam-5383	132	30	)	)	PUNCT
ejpam-5383	133	1	=	=	PRON
ejpam-5383	133	2	{	{	PUNCT
ejpam-5383	133	3	5m+	5m+	NUM
ejpam-5383	133	4	1−	1−	NUM
ejpam-5383	133	5	j	j	PROPN
ejpam-5383	133	6	,	,	PUNCT
ejpam-5383	133	7	i	i	PRON
ejpam-5383	133	8	=	=	NOUN
ejpam-5383	133	9	1	1	NUM
ejpam-5383	133	10	,	,	PUNCT
ejpam-5383	133	11	1	1	NUM
ejpam-5383	133	12	≤	≤	NUM
ejpam-5383	133	13	j	j	PROPN
ejpam-5383	133	14	≤	≤	PROPN
ejpam-5383	133	15	m	m	PROPN
ejpam-5383	133	16	,	,	PUNCT
ejpam-5383	133	17	c	c	X
ejpam-5383	133	18	-	-	PUNCT
ejpam-5383	133	19	set	set	NOUN
ejpam-5383	133	20	is	be	AUX
ejpam-5383	133	21	{	{	PUNCT
ejpam-5383	133	22	5	5	NUM
ejpam-5383	133	23	m	m	PRON
ejpam-5383	133	24	,	,	PUNCT
ejpam-5383	133	25	5m−	5m−	NUM
ejpam-5383	133	26	1	1	NUM
ejpam-5383	133	27	,	,	PUNCT
ejpam-5383	133	28	...	...	PUNCT
ejpam-5383	133	29	,	,	PUNCT
ejpam-5383	133	30	4m+	4m+	NUM
ejpam-5383	133	31	1	1	NUM
ejpam-5383	133	32	}	}	PUNCT
ejpam-5383	133	33	3m+	3m+	NUM
ejpam-5383	133	34	j	j	NOUN
ejpam-5383	133	35	,	,	PUNCT
ejpam-5383	133	36	i	i	PRON
ejpam-5383	133	37	=	=	NOUN
ejpam-5383	133	38	2	2	NUM
ejpam-5383	133	39	,	,	PUNCT
ejpam-5383	133	40	1	1	NUM
ejpam-5383	133	41	≤	≤	NUM
ejpam-5383	133	42	j	j	PROPN
ejpam-5383	133	43	≤	≤	PROPN
ejpam-5383	133	44	m	m	PROPN
ejpam-5383	133	45	,	,	PUNCT
ejpam-5383	133	46	c	c	X
ejpam-5383	133	47	-	-	PUNCT
ejpam-5383	133	48	set	set	NOUN
ejpam-5383	133	49	is	be	AUX
ejpam-5383	133	50	{	{	PUNCT
ejpam-5383	133	51	3m+	3m+	NUM
ejpam-5383	133	52	1	1	NUM
ejpam-5383	133	53	,	,	PUNCT
ejpam-5383	133	54	3m+	3m+	NUM
ejpam-5383	133	55	2	2	NUM
ejpam-5383	133	56	,	,	PUNCT
ejpam-5383	133	57	...	...	PUNCT
ejpam-5383	133	58	,	,	PUNCT
ejpam-5383	133	59	4	4	NUM
ejpam-5383	133	60	m	m	VERB
ejpam-5383	133	61	}	}	PUNCT
ejpam-5383	133	62	then	then	ADV
ejpam-5383	133	63	the	the	DET
ejpam-5383	133	64	vertex	vertex	NOUN
ejpam-5383	133	65	and	and	CCONJ
ejpam-5383	133	66	edge	edge	NOUN
ejpam-5383	133	67	weights	weight	NOUN
ejpam-5383	133	68	are	be	AUX
ejpam-5383	133	69	w(uji	w(uji	PUNCT
ejpam-5383	133	70	)	)	PUNCT
ejpam-5383	134	1	=	=	SYM
ejpam-5383	134	2	f(cju	f(cju	X
ejpam-5383	134	3	j	j	PROPN
ejpam-5383	134	4	i	i	PROPN
ejpam-5383	134	5	)	)	PUNCT
ejpam-5383	134	6	,	,	PUNCT
ejpam-5383	134	7	i	i	PRON
ejpam-5383	134	8	=	=	NOUN
ejpam-5383	134	9	1	1	NUM
ejpam-5383	134	10	,	,	PUNCT
ejpam-5383	134	11	2	2	NUM
ejpam-5383	134	12	and	and	CCONJ
ejpam-5383	134	13	1	1	NUM
ejpam-5383	134	14	≤	≤	NUM
ejpam-5383	134	15	j	j	PROPN
ejpam-5383	134	16	≤	≤	PROPN
ejpam-5383	134	17	m	m	VERB
ejpam-5383	134	18	w(cj	w(cj	PROPN
ejpam-5383	134	19	)	)	PUNCT
ejpam-5383	134	20	=	=	PUNCT
ejpam-5383	134	21	8m+	8m+	NUM
ejpam-5383	134	22	1	1	NUM
ejpam-5383	134	23	,	,	PUNCT
ejpam-5383	134	24	1	1	NUM
ejpam-5383	134	25	≤	≤	NUM
ejpam-5383	134	26	j	j	PROPN
ejpam-5383	135	1	≤	≤	NUM
ejpam-5383	135	2	m	m	VERB
ejpam-5383	135	3	w(cju	w(cju	PROPN
ejpam-5383	135	4	j	j	PROPN
ejpam-5383	135	5	1	1	NUM
ejpam-5383	135	6	)	)	PUNCT
ejpam-5383	135	7	=	=	NOUN
ejpam-5383	136	1	3m+	3m+	NUM
ejpam-5383	136	2	1	1	NUM
ejpam-5383	136	3	,	,	PUNCT
ejpam-5383	136	4	1	1	NUM
ejpam-5383	136	5	≤	≤	NUM
ejpam-5383	136	6	j	j	PROPN
ejpam-5383	136	7	≤	≤	NUM
ejpam-5383	136	8	m	m	VERB
ejpam-5383	136	9	w(cju	w(cju	PROPN
ejpam-5383	136	10	j	j	PROPN
ejpam-5383	136	11	2	2	NUM
ejpam-5383	136	12	)	)	PUNCT
ejpam-5383	136	13	=	=	NOUN
ejpam-5383	137	1	4m+	4m+	NUM
ejpam-5383	137	2	1	1	NUM
ejpam-5383	137	3	,	,	PUNCT
ejpam-5383	137	4	1	1	NUM
ejpam-5383	137	5	≤	≤	NUM
ejpam-5383	137	6	j	j	PROPN
ejpam-5383	137	7	≤	≤	NUM
ejpam-5383	137	8	m	m	VERB
ejpam-5383	137	9	the	the	DET
ejpam-5383	137	10	union	union	NOUN
ejpam-5383	137	11	of	of	ADP
ejpam-5383	137	12	all	all	DET
ejpam-5383	137	13	distinct	distinct	ADJ
ejpam-5383	137	14	weights	weight	NOUN
ejpam-5383	137	15	of	of	ADP
ejpam-5383	137	16	the	the	DET
ejpam-5383	137	17	set	set	NOUN
ejpam-5383	137	18	c	c	NOUN
ejpam-5383	137	19	is	be	AUX
ejpam-5383	137	20	given	give	VERB
ejpam-5383	137	21	as	as	SCONJ
ejpam-5383	137	22	follows	follow	VERB
ejpam-5383	137	23	:	:	PUNCT
ejpam-5383	137	24	c	c	NOUN
ejpam-5383	137	25	=	=	SYM
ejpam-5383	137	26	{	{	PUNCT
ejpam-5383	137	27	w(uj1	w(uj1	NOUN
ejpam-5383	137	28	)	)	PUNCT
ejpam-5383	137	29	∪	∪	ADP
ejpam-5383	137	30	w(uj2	w(uj2	PROPN
ejpam-5383	137	31	)	)	PUNCT
ejpam-5383	137	32	∪	∪	ADP
ejpam-5383	137	33	w(cj	w(cj	NUM
ejpam-5383	137	34	)	)	PUNCT
ejpam-5383	137	35	∪	∪	ADP
ejpam-5383	137	36	w(cju	w(cju	PROPN
ejpam-5383	137	37	j	j	PROPN
ejpam-5383	137	38	1	1	NUM
ejpam-5383	137	39	)	)	PUNCT
ejpam-5383	137	40	∪	∪	ADP
ejpam-5383	137	41	w(cju	w(cju	PROPN
ejpam-5383	137	42	j	j	PROPN
ejpam-5383	137	43	2	2	NUM
ejpam-5383	137	44	)	)	PUNCT
ejpam-5383	137	45	,	,	PUNCT
ejpam-5383	137	46	1	1	NUM
ejpam-5383	137	47	≤	≤	NUM
ejpam-5383	137	48	j	j	PROPN
ejpam-5383	137	49	≤	≤	PROPN
ejpam-5383	137	50	m	m	VERB
ejpam-5383	137	51	}	}	PUNCT
ejpam-5383	137	52	=	=	NOUN
ejpam-5383	137	53	{	{	PUNCT
ejpam-5383	137	54	3m+	3m+	NUM
ejpam-5383	137	55	1	1	NUM
ejpam-5383	137	56	,	,	PUNCT
ejpam-5383	137	57	3m+	3m+	NUM
ejpam-5383	137	58	2	2	NUM
ejpam-5383	137	59	,	,	PUNCT
ejpam-5383	137	60	...	...	PUNCT
ejpam-5383	137	61	,	,	PUNCT
ejpam-5383	137	62	4	4	NUM
ejpam-5383	137	63	m	m	NOUN
ejpam-5383	137	64	}	}	PUNCT
ejpam-5383	137	65	∪	∪	ADJ
ejpam-5383	137	66	{	{	PUNCT
ejpam-5383	137	67	4m+	4m+	NUM
ejpam-5383	137	68	1	1	NUM
ejpam-5383	137	69	,	,	PUNCT
ejpam-5383	137	70	4m+	4m+	NUM
ejpam-5383	137	71	2	2	NUM
ejpam-5383	137	72	,	,	PUNCT
ejpam-5383	137	73	...	...	PUNCT
ejpam-5383	137	74	,	,	PUNCT
ejpam-5383	137	75	5	5	NUM
ejpam-5383	137	76	m	m	NOUN
ejpam-5383	137	77	}	}	PUNCT
ejpam-5383	137	78	∪	∪	X
ejpam-5383	137	79	{	{	PUNCT
ejpam-5383	137	80	8m+	8m+	NUM
ejpam-5383	137	81	1	1	NUM
ejpam-5383	137	82	}	}	PUNCT
ejpam-5383	137	83	∪	∪	ADJ
ejpam-5383	137	84	{	{	PUNCT
ejpam-5383	137	85	3m+	3m+	NUM
ejpam-5383	137	86	1	1	NUM
ejpam-5383	137	87	}	}	PUNCT
ejpam-5383	137	88	∪	∪	ADJ
ejpam-5383	137	89	{	{	PUNCT
ejpam-5383	137	90	4m+	4m+	NUM
ejpam-5383	137	91	1	1	NUM
ejpam-5383	137	92	}	}	PUNCT
ejpam-5383	137	93	=	=	NOUN
ejpam-5383	137	94	{	{	PUNCT
ejpam-5383	137	95	3m+	3m+	NUM
ejpam-5383	137	96	1	1	NUM
ejpam-5383	137	97	,	,	PUNCT
ejpam-5383	137	98	3m+	3m+	NUM
ejpam-5383	137	99	2	2	NUM
ejpam-5383	137	100	,	,	PUNCT
ejpam-5383	137	101	...	...	PUNCT
ejpam-5383	137	102	,	,	PUNCT
ejpam-5383	137	103	4	4	NUM
ejpam-5383	137	104	m	m	NOUN
ejpam-5383	137	105	,	,	PUNCT
ejpam-5383	137	106	4m+	4m+	NUM
ejpam-5383	137	107	1	1	NUM
ejpam-5383	137	108	,	,	PUNCT
ejpam-5383	137	109	...	...	PUNCT
ejpam-5383	137	110	,	,	PUNCT
ejpam-5383	137	111	5	5	NUM
ejpam-5383	137	112	m	m	NOUN
ejpam-5383	137	113	}	}	PUNCT
ejpam-5383	137	114	∪	∪	X
ejpam-5383	137	115	{	{	PUNCT
ejpam-5383	137	116	8m+	8m+	NUM
ejpam-5383	137	117	1	1	NUM
ejpam-5383	137	118	}	}	PUNCT
ejpam-5383	137	119	and	and	CCONJ
ejpam-5383	137	120	hence	hence	ADV
ejpam-5383	137	121	|c|	|c|	PROPN
ejpam-5383	137	122	=	=	SYM
ejpam-5383	137	123	2m+	2m+	NUM
ejpam-5383	137	124	1	1	NUM
ejpam-5383	137	125	.	.	PUNCT
ejpam-5383	138	1	so	so	SCONJ
ejpam-5383	138	2	that	that	SCONJ
ejpam-5383	138	3	f	f	PROPN
ejpam-5383	138	4	provides	provide	VERB
ejpam-5383	138	5	a	a	DET
ejpam-5383	138	6	local	local	ADJ
ejpam-5383	138	7	total	total	ADJ
ejpam-5383	138	8	antimagic	antimagic	ADJ
ejpam-5383	138	9	labeling	labeling	NOUN
ejpam-5383	138	10	with	with	ADP
ejpam-5383	138	11	2m+	2m+	NUM
ejpam-5383	138	12	1	1	NUM
ejpam-5383	138	13	colors	color	NOUN
ejpam-5383	138	14	.	.	PUNCT
ejpam-5383	139	1	thus	thus	ADV
ejpam-5383	139	2	χlt(mk1,2	χlt(mk1,2	ADJ
ejpam-5383	139	3	)	)	PUNCT
ejpam-5383	139	4	≤	≤	NOUN
ejpam-5383	139	5	2m+1	2m+1	PROPN
ejpam-5383	139	6	.	.	PUNCT
ejpam-5383	140	1	by	by	ADP
ejpam-5383	140	2	theorem	theorem	NOUN
ejpam-5383	140	3	1	1	NUM
ejpam-5383	140	4	[	[	SYM
ejpam-5383	140	5	35	35	NUM
ejpam-5383	140	6	]	]	PUNCT
ejpam-5383	140	7	,	,	PUNCT
ejpam-5383	140	8	we	we	PRON
ejpam-5383	140	9	get	get	VERB
ejpam-5383	140	10	χlt(mk1,2	χlt(mk1,2	ADJ
ejpam-5383	140	11	)	)	PUNCT
ejpam-5383	140	12	≥	≥	NOUN
ejpam-5383	140	13	2m+1	2m+1	PROPN
ejpam-5383	140	14	.	.	PUNCT
ejpam-5383	141	1	thus	thus	ADV
ejpam-5383	141	2	χlt(mk1,2	χlt(mk1,2	ADJ
ejpam-5383	141	3	)	)	PUNCT
ejpam-5383	141	4	=	=	SYM
ejpam-5383	142	1	2m+	2m+	NUM
ejpam-5383	142	2	1	1	NUM
ejpam-5383	142	3	.	.	PUNCT
ejpam-5383	142	4	example	example	NOUN
ejpam-5383	143	1	1	1	NUM
ejpam-5383	143	2	.	.	PUNCT
ejpam-5383	144	1	the	the	DET
ejpam-5383	144	2	local	local	ADJ
ejpam-5383	144	3	total	total	ADJ
ejpam-5383	144	4	antimagic	antimagic	ADJ
ejpam-5383	144	5	labeling	labeling	NOUN
ejpam-5383	144	6	of	of	ADP
ejpam-5383	144	7	5k1,2	5k1,2	NUM
ejpam-5383	144	8	with	with	ADP
ejpam-5383	144	9	11	11	NUM
ejpam-5383	144	10	colors	color	NOUN
ejpam-5383	144	11	are	be	AUX
ejpam-5383	144	12	{	{	PUNCT
ejpam-5383	144	13	16	16	NUM
ejpam-5383	144	14	,	,	PUNCT
ejpam-5383	144	15	17	17	NUM
ejpam-5383	144	16	,	,	PUNCT
ejpam-5383	144	17	18	18	NUM
ejpam-5383	144	18	,	,	PUNCT
ejpam-5383	144	19	19	19	NUM
ejpam-5383	144	20	,	,	PUNCT
ejpam-5383	144	21	20	20	NUM
ejpam-5383	144	22	,	,	PUNCT
ejpam-5383	144	23	21	21	NUM
ejpam-5383	144	24	,	,	PUNCT
ejpam-5383	144	25	22	22	NUM
ejpam-5383	144	26	,	,	PUNCT
ejpam-5383	144	27	23	23	NUM
ejpam-5383	144	28	,	,	PUNCT
ejpam-5383	144	29	24	24	NUM
ejpam-5383	144	30	,	,	PUNCT
ejpam-5383	144	31	25	25	NUM
ejpam-5383	144	32	,	,	PUNCT
ejpam-5383	144	33	41	41	NUM
ejpam-5383	144	34	}	}	PUNCT
ejpam-5383	144	35	given	give	VERB
ejpam-5383	144	36	in	in	ADP
ejpam-5383	144	37	figure	figure	NOUN
ejpam-5383	144	38	1	1	NUM
ejpam-5383	144	39	.	.	NOUN
ejpam-5383	144	40	15	15	NUM
ejpam-5383	144	41	1	1	NUM
ejpam-5383	144	42	6	6	NUM
ejpam-5383	144	43	14	14	NUM
ejpam-5383	144	44	2	2	NUM
ejpam-5383	144	45	7	7	NUM
ejpam-5383	144	46	13	13	NUM
ejpam-5383	144	47	3	3	NUM
ejpam-5383	144	48	8	8	NUM
ejpam-5383	144	49	12	12	NUM
ejpam-5383	144	50	4	4	NUM
ejpam-5383	144	51	9	9	NUM
ejpam-5383	144	52	11	11	NUM
ejpam-5383	144	53	5	5	NUM
ejpam-5383	144	54	10	10	NUM
ejpam-5383	144	55	25	25	NUM
ejpam-5383	144	56	16	16	NUM
ejpam-5383	144	57	24	24	NUM
ejpam-5383	144	58	17	17	NUM
ejpam-5383	144	59	23	23	NUM
ejpam-5383	144	60	18	18	NUM
ejpam-5383	144	61	22	22	NUM
ejpam-5383	144	62	19	19	NUM
ejpam-5383	144	63	21	21	NUM
ejpam-5383	144	64	20	20	NUM
ejpam-5383	144	65	figure	figure	NOUN
ejpam-5383	144	66	1	1	NUM
ejpam-5383	144	67	:	:	PUNCT
ejpam-5383	144	68	local	local	ADJ
ejpam-5383	144	69	total	total	ADJ
ejpam-5383	144	70	antimagic	antimagic	ADJ
ejpam-5383	144	71	labeling	labeling	NOUN
ejpam-5383	144	72	of	of	ADP
ejpam-5383	144	73	5k1,2	5k1,2	NUM
ejpam-5383	144	74	with	with	ADP
ejpam-5383	144	75	11	11	NUM
ejpam-5383	144	76	colors	color	NOUN
ejpam-5383	144	77	{	{	PUNCT
ejpam-5383	144	78	16	16	NUM
ejpam-5383	144	79	,	,	PUNCT
ejpam-5383	144	80	17	17	NUM
ejpam-5383	144	81	,	,	PUNCT
ejpam-5383	144	82	18	18	NUM
ejpam-5383	144	83	,	,	PUNCT
ejpam-5383	144	84	19	19	NUM
ejpam-5383	144	85	,	,	PUNCT
ejpam-5383	144	86	20	20	NUM
ejpam-5383	144	87	,	,	PUNCT
ejpam-5383	144	88	21	21	NUM
ejpam-5383	144	89	,	,	PUNCT
ejpam-5383	144	90	22	22	NUM
ejpam-5383	144	91	,	,	PUNCT
ejpam-5383	144	92	23	23	NUM
ejpam-5383	144	93	,	,	PUNCT
ejpam-5383	144	94	24	24	NUM
ejpam-5383	144	95	,	,	PUNCT
ejpam-5383	144	96	25	25	NUM
ejpam-5383	144	97	,	,	PUNCT
ejpam-5383	144	98	41	41	NUM
ejpam-5383	144	99	}	}	PUNCT
ejpam-5383	144	100	theorem	theorem	VERB
ejpam-5383	144	101	5	5	NUM
ejpam-5383	144	102	.	.	PUNCT
ejpam-5383	145	1	let	let	VERB
ejpam-5383	145	2	mk1,n	mk1,n	PROPN
ejpam-5383	145	3	,	,	PUNCT
ejpam-5383	145	4	n	n	PRON
ejpam-5383	145	5	≥	≥	NOUN
ejpam-5383	145	6	3	3	NUM
ejpam-5383	145	7	,	,	PUNCT
ejpam-5383	145	8	m	m	VERB
ejpam-5383	145	9	≥	≥	NUM
ejpam-5383	145	10	2	2	NUM
ejpam-5383	145	11	be	be	AUX
ejpam-5383	145	12	the	the	DET
ejpam-5383	145	13	disjoint	disjoint	NOUN
ejpam-5383	145	14	union	union	NOUN
ejpam-5383	145	15	of	of	ADP
ejpam-5383	145	16	m	m	PROPN
ejpam-5383	145	17	copies	copy	NOUN
ejpam-5383	145	18	of	of	ADP
ejpam-5383	145	19	star	star	PROPN
ejpam-5383	145	20	k1,n	k1,n	PROPN
ejpam-5383	145	21	.	.	PUNCT
ejpam-5383	146	1	then	then	ADV
ejpam-5383	146	2	χlt(mk1,n	χlt(mk1,n	VERB
ejpam-5383	146	3	)	)	PUNCT
ejpam-5383	147	1	=	=	VERB
ejpam-5383	147	2	mn+	mn+	NOUN
ejpam-5383	147	3	1	1	X
ejpam-5383	147	4	.	.	PUNCT
ejpam-5383	148	1	proof	proof	NOUN
ejpam-5383	148	2	.	.	PUNCT
ejpam-5383	149	1	let	let	VERB
ejpam-5383	149	2	v	v	NOUN
ejpam-5383	149	3	(	(	PUNCT
ejpam-5383	149	4	mk1,n	mk1,n	NOUN
ejpam-5383	149	5	)	)	PUNCT
ejpam-5383	149	6	=	=	PRON
ejpam-5383	149	7	{	{	PUNCT
ejpam-5383	149	8	cj	cj	X
ejpam-5383	149	9	,	,	PUNCT
ejpam-5383	149	10	uji	uji	PROPN
ejpam-5383	149	11	,	,	PUNCT
ejpam-5383	149	12	1	1	NUM
ejpam-5383	149	13	≤	≤	NUM
ejpam-5383	149	14	i	i	PRON
ejpam-5383	149	15	≤	≤	PROPN
ejpam-5383	149	16	n	n	CCONJ
ejpam-5383	149	17	,	,	PUNCT
ejpam-5383	149	18	1	1	NUM
ejpam-5383	149	19	≤	≤	NUM
ejpam-5383	149	20	j	j	PROPN
ejpam-5383	149	21	≤	≤	PROPN
ejpam-5383	149	22	m	m	PROPN
ejpam-5383	149	23	}	}	PUNCT
ejpam-5383	149	24	and	and	CCONJ
ejpam-5383	149	25	e(mk1,n	e(mk1,n	NOUN
ejpam-5383	149	26	)	)	PUNCT
ejpam-5383	150	1	=	=	PRON
ejpam-5383	150	2	{	{	PUNCT
ejpam-5383	150	3	cjuji	cjuji	NOUN
ejpam-5383	150	4	,	,	PUNCT
ejpam-5383	150	5	1	1	NUM
ejpam-5383	150	6	≤	≤	NUM
ejpam-5383	150	7	i	i	PRON
ejpam-5383	150	8	≤	≤	PROPN
ejpam-5383	150	9	n	n	CCONJ
ejpam-5383	150	10	,	,	PUNCT
ejpam-5383	150	11	1	1	NUM
ejpam-5383	150	12	≤	≤	NUM
ejpam-5383	150	13	j	j	PROPN
ejpam-5383	150	14	≤	≤	PROPN
ejpam-5383	150	15	m	m	VERB
ejpam-5383	150	16	}	}	PUNCT
ejpam-5383	150	17	be	be	AUX
ejpam-5383	150	18	the	the	DET
ejpam-5383	150	19	vertex	vertex	NOUN
ejpam-5383	150	20	and	and	CCONJ
ejpam-5383	150	21	edge	edge	NOUN
ejpam-5383	150	22	sets	set	NOUN
ejpam-5383	150	23	of	of	ADP
ejpam-5383	150	24	mk1,n	mk1,n	NOUN
ejpam-5383	150	25	.	.	PUNCT
ejpam-5383	151	1	then	then	ADV
ejpam-5383	151	2	|v	|v	PROPN
ejpam-5383	151	3	(	(	PUNCT
ejpam-5383	151	4	mk1,n)|	mk1,n)|	NOUN
ejpam-5383	151	5	=	=	SYM
ejpam-5383	151	6	m(n+	m(n+	NOUN
ejpam-5383	151	7	1	1	NUM
ejpam-5383	151	8	)	)	PUNCT
ejpam-5383	151	9	,	,	PUNCT
ejpam-5383	151	10	|e(mk1,n)|	|e(mk1,n)|	NOUN
ejpam-5383	151	11	=	=	SYM
ejpam-5383	151	12	mn	mn	PROPN
ejpam-5383	151	13	and	and	CCONJ
ejpam-5383	151	14	|v	|v	PROPN
ejpam-5383	151	15	(	(	PUNCT
ejpam-5383	151	16	mk1,n	mk1,n	NOUN
ejpam-5383	151	17	)	)	PUNCT
ejpam-5383	151	18	∪	∪	ADP
ejpam-5383	151	19	e(mk1,n)|	e(mk1,n)|	PROPN
ejpam-5383	151	20	=	=	SYM
ejpam-5383	151	21	2mn+m	2mn+m	PROPN
ejpam-5383	151	22	.	.	PUNCT
ejpam-5383	151	23	case	case	NOUN
ejpam-5383	151	24	1	1	NUM
ejpam-5383	151	25	:	:	PUNCT
ejpam-5383	151	26	when	when	SCONJ
ejpam-5383	151	27	n	n	PRON
ejpam-5383	151	28	is	be	AUX
ejpam-5383	151	29	even	even	ADV
ejpam-5383	151	30	define	define	VERB
ejpam-5383	151	31	a	a	DET
ejpam-5383	151	32	labeling	labeling	NOUN
ejpam-5383	151	33	f	f	NOUN
ejpam-5383	151	34	:	:	PUNCT
ejpam-5383	151	35	v	v	X
ejpam-5383	151	36	(	(	PUNCT
ejpam-5383	151	37	mk1,n	mk1,n	NOUN
ejpam-5383	151	38	)	)	PUNCT
ejpam-5383	151	39	∪	∪	ADP
ejpam-5383	151	40	e(mk1,n	e(mk1,n	PROPN
ejpam-5383	151	41	)	)	PUNCT
ejpam-5383	151	42	→	→	SYM
ejpam-5383	151	43	{	{	PUNCT
ejpam-5383	151	44	1	1	NUM
ejpam-5383	151	45	,	,	PUNCT
ejpam-5383	151	46	2	2	NUM
ejpam-5383	151	47	,	,	PUNCT
ejpam-5383	151	48	3	3	NUM
ejpam-5383	151	49	,	,	PUNCT
ejpam-5383	151	50	...	...	PUNCT
ejpam-5383	151	51	,	,	PUNCT
ejpam-5383	151	52	2mn+m	2mn+m	NUM
ejpam-5383	151	53	}	}	PUNCT
ejpam-5383	151	54	by	by	ADP
ejpam-5383	151	55	f(uji	f(uji	NOUN
ejpam-5383	151	56	)	)	PUNCT
ejpam-5383	151	57	=	=	PUNCT
ejpam-5383	151	58	m(i−	m(i−	NOUN
ejpam-5383	151	59	1	1	NUM
ejpam-5383	151	60	)	)	PUNCT
ejpam-5383	152	1	+	+	CCONJ
ejpam-5383	153	1	j	j	PROPN
ejpam-5383	153	2	,	,	PUNCT
ejpam-5383	153	3	1	1	NUM
ejpam-5383	153	4	≤	≤	NUM
ejpam-5383	153	5	i	i	PRON
ejpam-5383	153	6	≤	≤	PROPN
ejpam-5383	153	7	n	n	CCONJ
ejpam-5383	153	8	,	,	PUNCT
ejpam-5383	153	9	1	1	NUM
ejpam-5383	153	10	≤	≤	NUM
ejpam-5383	153	11	j	j	PROPN
ejpam-5383	153	12	≤	≤	PROPN
ejpam-5383	153	13	m	m	PROPN
ejpam-5383	153	14	,	,	PUNCT
ejpam-5383	153	15	c	c	X
ejpam-5383	153	16	-	-	PUNCT
ejpam-5383	153	17	set	set	NOUN
ejpam-5383	153	18	is	be	AUX
ejpam-5383	153	19	given	give	VERB
ejpam-5383	153	20	in	in	ADP
ejpam-5383	153	21	table	table	NOUN
ejpam-5383	153	22	1	1	NUM
ejpam-5383	153	23	f(cj	f(cj	NUM
ejpam-5383	153	24	)	)	PUNCT
ejpam-5383	153	25	=	=	PUNCT
ejpam-5383	153	26	m(n+	m(n+	NOUN
ejpam-5383	153	27	1	1	NUM
ejpam-5383	153	28	)	)	PUNCT
ejpam-5383	153	29	+	+	CCONJ
ejpam-5383	153	30	1−	1−	NUM
ejpam-5383	153	31	j	j	NOUN
ejpam-5383	153	32	,	,	PUNCT
ejpam-5383	153	33	1	1	NUM
ejpam-5383	153	34	≤	≤	NUM
ejpam-5383	153	35	j	j	PROPN
ejpam-5383	153	36	≤	≤	NUM
ejpam-5383	153	37	m	m	VERB
ejpam-5383	153	38	v.	v.	ADP
ejpam-5383	153	39	sandhiya	sandhiya	PROPN
ejpam-5383	153	40	,	,	PUNCT
ejpam-5383	153	41	m.	m.	NOUN
ejpam-5383	153	42	nalliah	nalliah	PROPN
ejpam-5383	153	43	/	/	SYM
ejpam-5383	153	44	eur	eur	PROPN
ejpam-5383	153	45	.	.	PUNCT
ejpam-5383	154	1	j.	j.	PROPN
ejpam-5383	154	2	pure	pure	PROPN
ejpam-5383	154	3	appl	appl	PROPN
ejpam-5383	154	4	.	.	PROPN
ejpam-5383	154	5	math	math	PROPN
ejpam-5383	154	6	,	,	PUNCT
ejpam-5383	154	7	17	17	NUM
ejpam-5383	154	8	(	(	PUNCT
ejpam-5383	154	9	4	4	NUM
ejpam-5383	154	10	)	)	PUNCT
ejpam-5383	154	11	(	(	PUNCT
ejpam-5383	154	12	2024	2024	NUM
ejpam-5383	154	13	)	)	PUNCT
ejpam-5383	154	14	,	,	PUNCT
ejpam-5383	154	15	2828	2828	NUM
ejpam-5383	154	16	-	-	SYM
ejpam-5383	154	17	2842	2842	NUM
ejpam-5383	154	18	2833	2833	NUM
ejpam-5383	154	19	c	c	X
ejpam-5383	154	20	-	-	PUNCT
ejpam-5383	154	21	set	set	NOUN
ejpam-5383	154	22	is	be	AUX
ejpam-5383	154	23	{	{	PUNCT
ejpam-5383	154	24	mn+m	mn+m	PROPN
ejpam-5383	154	25	,	,	PUNCT
ejpam-5383	154	26	mn+m−	mn+m−	PROPN
ejpam-5383	154	27	1	1	NUM
ejpam-5383	154	28	,	,	PUNCT
ejpam-5383	154	29	...	...	PUNCT
ejpam-5383	154	30	,	,	PUNCT
ejpam-5383	154	31	mn+	mn+	NOUN
ejpam-5383	154	32	2	2	NUM
ejpam-5383	154	33	,	,	PUNCT
ejpam-5383	154	34	mn+	mn+	NOUN
ejpam-5383	154	35	1	1	NUM
ejpam-5383	154	36	}	}	PUNCT
ejpam-5383	154	37	f(cju	f(cju	NOUN
ejpam-5383	154	38	j	j	PROPN
ejpam-5383	154	39	i	i	PROPN
ejpam-5383	154	40	)	)	PUNCT
ejpam-5383	154	41	=	=	PUNCT
ejpam-5383	155	1			VERB
ejpam-5383	155	2	2m(n+	2m(n+	NUM
ejpam-5383	155	3	1	1	NUM
ejpam-5383	155	4	)	)	PUNCT
ejpam-5383	156	1	+	+	CCONJ
ejpam-5383	156	2	1−mi−	1−mi−	PROPN
ejpam-5383	156	3	j	j	NOUN
ejpam-5383	156	4	,	,	PUNCT
ejpam-5383	156	5	if	if	SCONJ
ejpam-5383	156	6	i	i	PRON
ejpam-5383	156	7	is	be	AUX
ejpam-5383	156	8	odd	odd	ADJ
ejpam-5383	156	9	,	,	PUNCT
ejpam-5383	156	10	1	1	NUM
ejpam-5383	156	11	≤	≤	NUM
ejpam-5383	157	1	i	i	PRON
ejpam-5383	157	2	≤	≤	ADJ
ejpam-5383	157	3	n−	n−	PROPN
ejpam-5383	157	4	1	1	NUM
ejpam-5383	157	5	,	,	PUNCT
ejpam-5383	157	6	1	1	NUM
ejpam-5383	157	7	≤	≤	NUM
ejpam-5383	157	8	j	j	PROPN
ejpam-5383	157	9	≤	≤	PROPN
ejpam-5383	157	10	m	m	VERB
ejpam-5383	157	11	cset	cset	NOUN
ejpam-5383	157	12	is	be	AUX
ejpam-5383	157	13	given	give	VERB
ejpam-5383	157	14	in	in	ADP
ejpam-5383	157	15	table	table	NOUN
ejpam-5383	157	16	2	2	NUM
ejpam-5383	157	17	m(2n+	m(2n+	NOUN
ejpam-5383	157	18	1)−mi+	1)−mi+	NUM
ejpam-5383	157	19	j	j	NOUN
ejpam-5383	157	20	,	,	PUNCT
ejpam-5383	157	21	if	if	SCONJ
ejpam-5383	157	22	i	i	PRON
ejpam-5383	157	23	is	be	AUX
ejpam-5383	157	24	even	even	ADV
ejpam-5383	157	25	,	,	PUNCT
ejpam-5383	157	26	1	1	NUM
ejpam-5383	157	27	≤	≤	NUM
ejpam-5383	157	28	i	i	PRON
ejpam-5383	157	29	≤	≤	PROPN
ejpam-5383	157	30	n	n	CCONJ
ejpam-5383	157	31	,	,	PUNCT
ejpam-5383	157	32	1	1	NUM
ejpam-5383	157	33	≤	≤	NUM
ejpam-5383	157	34	j	j	PROPN
ejpam-5383	157	35	≤	≤	PROPN
ejpam-5383	157	36	m	m	VERB
ejpam-5383	157	37	cset	cset	NOUN
ejpam-5383	157	38	is	be	AUX
ejpam-5383	157	39	given	give	VERB
ejpam-5383	157	40	in	in	ADP
ejpam-5383	157	41	table	table	NOUN
ejpam-5383	157	42	3	3	NUM
ejpam-5383	157	43	the	the	PRON
ejpam-5383	157	44	above	above	ADJ
ejpam-5383	157	45	labeling	labeling	NOUN
ejpam-5383	157	46	f	f	PROPN
ejpam-5383	157	47	is	be	AUX
ejpam-5383	157	48	given	give	VERB
ejpam-5383	157	49	in	in	ADP
ejpam-5383	157	50	tables	table	NOUN
ejpam-5383	157	51	1	1	NUM
ejpam-5383	157	52	,	,	PUNCT
ejpam-5383	157	53	2	2	NUM
ejpam-5383	157	54	and	and	CCONJ
ejpam-5383	157	55	3	3	NUM
ejpam-5383	157	56	for	for	ADP
ejpam-5383	157	57	easy	easy	ADJ
ejpam-5383	157	58	reading	reading	NOUN
ejpam-5383	157	59	.	.	PUNCT
ejpam-5383	158	1	table	table	NOUN
ejpam-5383	158	2	1	1	NUM
ejpam-5383	158	3	:	:	PUNCT
ejpam-5383	158	4	labels	label	NOUN
ejpam-5383	158	5	for	for	ADP
ejpam-5383	158	6	the	the	DET
ejpam-5383	158	7	pendant	pendant	ADJ
ejpam-5383	158	8	vertices	vertex	NOUN
ejpam-5383	158	9	uj	uj	PROPN
ejpam-5383	158	10	i	i	PROPN
ejpam-5383	158	11	of	of	ADP
ejpam-5383	158	12	mk1,n	mk1,n	PROPN
ejpam-5383	158	13	,	,	PUNCT
ejpam-5383	158	14	where	where	SCONJ
ejpam-5383	158	15	n	n	X
ejpam-5383	158	16	is	be	AUX
ejpam-5383	158	17	even	even	ADV
ejpam-5383	158	18	i	i	PRON
ejpam-5383	158	19	u1i	u1i	PROPN
ejpam-5383	158	20	u2i	u2i	X
ejpam-5383	158	21	u3i	u3i	X
ejpam-5383	158	22	...	...	PUNCT
ejpam-5383	159	1	um−1	um−1	NOUN
ejpam-5383	160	1	i	i	PRON
ejpam-5383	160	2	umi	umi	PROPN
ejpam-5383	160	3	1	1	NUM
ejpam-5383	160	4	1	1	NUM
ejpam-5383	160	5	2	2	NUM
ejpam-5383	160	6	3	3	NUM
ejpam-5383	160	7	...	...	PUNCT
ejpam-5383	160	8	m-1	m-1	NUM
ejpam-5383	160	9	m	m	VERB
ejpam-5383	160	10	2	2	NUM
ejpam-5383	160	11	m+1	m+1	NUM
ejpam-5383	160	12	m+2	m+2	ADP
ejpam-5383	160	13	m+3	m+3	PROPN
ejpam-5383	160	14	...	...	PUNCT
ejpam-5383	161	1	2m-1	2m-1	NUM
ejpam-5383	161	2	2	2	NUM
ejpam-5383	161	3	m	m	NOUN
ejpam-5383	161	4	...	...	PUNCT
ejpam-5383	161	5	...	...	PUNCT
ejpam-5383	161	6	...	...	PUNCT
ejpam-5383	161	7	...	...	PUNCT
ejpam-5383	161	8	...	...	PUNCT
ejpam-5383	161	9	...	...	PUNCT
ejpam-5383	161	10	...	...	PUNCT
ejpam-5383	161	11	...	...	PUNCT
ejpam-5383	161	12	...	...	PUNCT
ejpam-5383	161	13	...	...	PUNCT
ejpam-5383	161	14	...	...	PUNCT
ejpam-5383	161	15	...	...	PUNCT
ejpam-5383	161	16	...	...	PUNCT
ejpam-5383	161	17	...	...	PUNCT
ejpam-5383	162	1	n-1	n-1	VERB
ejpam-5383	162	2	m(n-2)+1	m(n-2)+1	PROPN
ejpam-5383	162	3	m(n-2)+2	m(n-2)+2	PROPN
ejpam-5383	162	4	m(n-2)+3	m(n-2)+3	X
ejpam-5383	162	5	...	...	PUNCT
ejpam-5383	163	1	m(n-1)-1	m(n-1)-1	VERB
ejpam-5383	163	2	m(n-1	m(n-1	NOUN
ejpam-5383	163	3	)	)	PUNCT
ejpam-5383	164	1	n	n	PRON
ejpam-5383	164	2	m(n-1)+1	m(n-1)+1	NOUN
ejpam-5383	164	3	m(n-1)+2	m(n-1)+2	NOUN
ejpam-5383	164	4	m(n-1)+3	m(n-1)+3	X
ejpam-5383	164	5	...	...	PUNCT
ejpam-5383	164	6	mn-1	mn-1	PROPN
ejpam-5383	165	1	mn	mn	PROPN
ejpam-5383	165	2	table	table	NOUN
ejpam-5383	165	3	2	2	NUM
ejpam-5383	165	4	:	:	PUNCT
ejpam-5383	165	5	labels	label	NOUN
ejpam-5383	165	6	for	for	ADP
ejpam-5383	165	7	the	the	DET
ejpam-5383	165	8	pendant	pendant	ADJ
ejpam-5383	165	9	edges	edge	NOUN
ejpam-5383	165	10	cju	cju	VERB
ejpam-5383	166	1	j	j	PROPN
ejpam-5383	166	2	i	i	PROPN
ejpam-5383	166	3	of	of	ADP
ejpam-5383	166	4	mk1,n	mk1,n	PROPN
ejpam-5383	166	5	,	,	PUNCT
ejpam-5383	166	6	where	where	SCONJ
ejpam-5383	166	7	n	n	PRON
ejpam-5383	166	8	is	be	AUX
ejpam-5383	166	9	even	even	ADV
ejpam-5383	166	10	and	and	CCONJ
ejpam-5383	166	11	i	i	PRON
ejpam-5383	166	12	is	be	AUX
ejpam-5383	166	13	odd	odd	ADJ
ejpam-5383	166	14	i	i	PRON
ejpam-5383	166	15	c1u	c1u	PROPN
ejpam-5383	166	16	1	1	NUM
ejpam-5383	166	17	i	i	PRON
ejpam-5383	166	18	c2u	c2u	VERB
ejpam-5383	166	19	2	2	NUM
ejpam-5383	167	1	i	i	PRON
ejpam-5383	167	2	c3u	c3u	VERB
ejpam-5383	167	3	3	3	NUM
ejpam-5383	168	1	i	i	PRON
ejpam-5383	168	2	...	...	PUNCT
ejpam-5383	169	1	cm−1u	cm−1u	NUM
ejpam-5383	169	2	m−1	m−1	PROPN
ejpam-5383	169	3	i	i	PRON
ejpam-5383	169	4	cmumi	cmumi	VERB
ejpam-5383	169	5	1	1	NUM
ejpam-5383	169	6	2mn+m	2mn+m	NUM
ejpam-5383	169	7	2mn+m-1	2mn+m-1	NUM
ejpam-5383	169	8	2mn+m-2	2mn+m-2	NUM
ejpam-5383	169	9	...	...	PUNCT
ejpam-5383	170	1	2mn+2	2mn+2	NOUN
ejpam-5383	170	2	2mn+1	2mn+1	NUM
ejpam-5383	170	3	3	3	NUM
ejpam-5383	170	4	2mn	2mn	X
ejpam-5383	170	5	-	-	PUNCT
ejpam-5383	170	6	m	m	PROPN
ejpam-5383	170	7	2mn	2mn	PROPN
ejpam-5383	170	8	-	-	PUNCT
ejpam-5383	170	9	m-1	m-1	PROPN
ejpam-5383	170	10	2mn	2mn	PROPN
ejpam-5383	170	11	-	-	PUNCT
ejpam-5383	170	12	m-2	m-2	NOUN
ejpam-5383	170	13	...	...	PUNCT
ejpam-5383	171	1	2mn-2m+2	2mn-2m+2	NUM
ejpam-5383	171	2	2mn-2m+1	2mn-2m+1	NUM
ejpam-5383	171	3	...	...	PUNCT
ejpam-5383	171	4	...	...	PUNCT
ejpam-5383	171	5	...	...	PUNCT
ejpam-5383	171	6	...	...	PUNCT
ejpam-5383	171	7	...	...	PUNCT
ejpam-5383	171	8	...	...	PUNCT
ejpam-5383	171	9	...	...	PUNCT
ejpam-5383	171	10	...	...	PUNCT
ejpam-5383	171	11	...	...	PUNCT
ejpam-5383	171	12	...	...	PUNCT
ejpam-5383	171	13	...	...	PUNCT
ejpam-5383	171	14	...	...	PUNCT
ejpam-5383	171	15	...	...	PUNCT
ejpam-5383	171	16	...	...	PUNCT
ejpam-5383	172	1	n-3	n-3	ADJ
ejpam-5383	172	2	mn+5	mn+5	NOUN
ejpam-5383	172	3	m	m	VERB
ejpam-5383	172	4	mn+5m-1	mn+5m-1	PROPN
ejpam-5383	172	5	mn+5m-2	mn+5m-2	PROPN
ejpam-5383	172	6	...	...	PUNCT
ejpam-5383	173	1	mn+4m+2	mn+4m+2	PROPN
ejpam-5383	173	2	mn+4m+1	mn+4m+1	PROPN
ejpam-5383	173	3	n-1	n-1	PUNCT
ejpam-5383	174	1	mn+3	mn+3	PROPN
ejpam-5383	174	2	m	m	VERB
ejpam-5383	174	3	mn+3m-1	mn+3m-1	PROPN
ejpam-5383	174	4	mn+3m-2	mn+3m-2	PROPN
ejpam-5383	174	5	...	...	PUNCT
ejpam-5383	175	1	mn+2m+2	mn+2m+2	PROPN
ejpam-5383	175	2	mn+2m+1	mn+2m+1	PROPN
ejpam-5383	175	3	table	table	NOUN
ejpam-5383	175	4	3	3	NUM
ejpam-5383	175	5	:	:	PUNCT
ejpam-5383	175	6	labels	label	NOUN
ejpam-5383	175	7	for	for	ADP
ejpam-5383	175	8	the	the	DET
ejpam-5383	175	9	pendant	pendant	ADJ
ejpam-5383	175	10	edges	edge	NOUN
ejpam-5383	175	11	cju	cju	VERB
ejpam-5383	176	1	j	j	PROPN
ejpam-5383	176	2	i	i	PROPN
ejpam-5383	176	3	of	of	ADP
ejpam-5383	176	4	mk1,n	mk1,n	PROPN
ejpam-5383	176	5	,	,	PUNCT
ejpam-5383	176	6	where	where	SCONJ
ejpam-5383	176	7	n	n	PRON
ejpam-5383	176	8	is	be	AUX
ejpam-5383	176	9	even	even	ADV
ejpam-5383	176	10	and	and	CCONJ
ejpam-5383	176	11	i	i	PRON
ejpam-5383	176	12	is	be	AUX
ejpam-5383	176	13	even	even	ADV
ejpam-5383	176	14	i	i	PRON
ejpam-5383	176	15	c1u	c1u	PROPN
ejpam-5383	176	16	1	1	NUM
ejpam-5383	177	1	i	i	PRON
ejpam-5383	177	2	c2u	c2u	VERB
ejpam-5383	177	3	2	2	NUM
ejpam-5383	178	1	i	i	PRON
ejpam-5383	178	2	c3u	c3u	VERB
ejpam-5383	178	3	3	3	NUM
ejpam-5383	179	1	i	i	PRON
ejpam-5383	179	2	...	...	PUNCT
ejpam-5383	180	1	cm−1u	cm−1u	NUM
ejpam-5383	180	2	m−1	m−1	PROPN
ejpam-5383	180	3	i	i	PRON
ejpam-5383	180	4	cmumi	cmumi	VERB
ejpam-5383	180	5	2	2	NUM
ejpam-5383	180	6	2mn	2mn	X
ejpam-5383	180	7	-	-	PUNCT
ejpam-5383	180	8	m+1	m+1	NUM
ejpam-5383	180	9	2mn	2mn	PROPN
ejpam-5383	180	10	-	-	PUNCT
ejpam-5383	180	11	m+2	m+2	NOUN
ejpam-5383	180	12	2mn	2mn	PROPN
ejpam-5383	180	13	-	-	PUNCT
ejpam-5383	180	14	m+3	m+3	PROPN
ejpam-5383	180	15	...	...	PUNCT
ejpam-5383	181	1	2mn-1	2mn-1	NUM
ejpam-5383	181	2	2mn	2mn	NOUN
ejpam-5383	181	3	4	4	NUM
ejpam-5383	181	4	2mn-3m+1	2mn-3m+1	PROPN
ejpam-5383	181	5	2mn-3m+2	2mn-3m+2	PROPN
ejpam-5383	181	6	2mn-3m+3	2mn-3m+3	NUM
ejpam-5383	181	7	...	...	PUNCT
ejpam-5383	181	8	2mn-2m-1	2mn-2m-1	NUM
ejpam-5383	181	9	2mn-2	2mn-2	NUM
ejpam-5383	181	10	m	m	NOUN
ejpam-5383	181	11	...	...	PUNCT
ejpam-5383	181	12	...	...	PUNCT
ejpam-5383	181	13	...	...	PUNCT
ejpam-5383	181	14	...	...	PUNCT
ejpam-5383	181	15	...	...	PUNCT
ejpam-5383	181	16	...	...	PUNCT
ejpam-5383	181	17	...	...	PUNCT
ejpam-5383	181	18	...	...	PUNCT
ejpam-5383	181	19	...	...	PUNCT
ejpam-5383	181	20	...	...	PUNCT
ejpam-5383	181	21	...	...	PUNCT
ejpam-5383	181	22	...	...	PUNCT
ejpam-5383	181	23	...	...	PUNCT
ejpam-5383	181	24	...	...	PUNCT
ejpam-5383	181	25	n-2	n-2	X
ejpam-5383	182	1	mn+3m+1	mn+3m+1	PRON
ejpam-5383	182	2	mn+3m+2	mn+3m+2	PROPN
ejpam-5383	182	3	mn+3m+3	mn+3m+3	X
ejpam-5383	182	4	...	...	PUNCT
ejpam-5383	183	1	mn+4m-1	mn+4m-1	PROPN
ejpam-5383	184	1	mn+4	mn+4	INTJ
ejpam-5383	184	2	m	m	VERB
ejpam-5383	184	3	n	n	NUM
ejpam-5383	184	4	mn+m+1	mn+m+1	NUM
ejpam-5383	184	5	mn+m+2	mn+m+2	NOUN
ejpam-5383	184	6	mn+m+3	mn+m+3	NOUN
ejpam-5383	184	7	...	...	PUNCT
ejpam-5383	185	1	mn+2m-1	mn+2m-1	PROPN
ejpam-5383	185	2	mn+2	mn+2	NOUN
ejpam-5383	185	3	m	m	VERB
ejpam-5383	185	4	then	then	ADV
ejpam-5383	185	5	the	the	DET
ejpam-5383	185	6	vertex	vertex	NOUN
ejpam-5383	185	7	and	and	CCONJ
ejpam-5383	185	8	edge	edge	NOUN
ejpam-5383	185	9	weights	weight	NOUN
ejpam-5383	185	10	are	be	AUX
ejpam-5383	185	11	w(uji	w(uji	PUNCT
ejpam-5383	185	12	)	)	PUNCT
ejpam-5383	186	1	=	=	SYM
ejpam-5383	186	2	f(cju	f(cju	X
ejpam-5383	186	3	j	j	PROPN
ejpam-5383	186	4	i	i	PROPN
ejpam-5383	186	5	)	)	PUNCT
ejpam-5383	186	6	,	,	PUNCT
ejpam-5383	186	7	1	1	NUM
ejpam-5383	186	8	≤	≤	NUM
ejpam-5383	186	9	i	i	PRON
ejpam-5383	186	10	≤	≤	PROPN
ejpam-5383	186	11	n	n	CCONJ
ejpam-5383	186	12	,	,	PUNCT
ejpam-5383	186	13	1	1	NUM
ejpam-5383	186	14	≤	≤	NUM
ejpam-5383	186	15	j	j	PROPN
ejpam-5383	186	16	≤	≤	PROPN
ejpam-5383	186	17	m	m	VERB
ejpam-5383	186	18	w(cj	w(cj	PROPN
ejpam-5383	186	19	)	)	PUNCT
ejpam-5383	186	20	=	=	SYM
ejpam-5383	186	21	mn(3n+	mn(3n+	NOUN
ejpam-5383	186	22	2	2	NUM
ejpam-5383	186	23	)	)	PUNCT
ejpam-5383	186	24	+	+	NUM
ejpam-5383	186	25	n	n	DET
ejpam-5383	186	26	2	2	NUM
ejpam-5383	186	27	=	=	SYM
ejpam-5383	186	28	2mn+	2mn+	NOUN
ejpam-5383	186	29	n	n	PRON
ejpam-5383	186	30	2	2	NUM
ejpam-5383	186	31	[	[	X
ejpam-5383	186	32	m(3n−	m(3n−	NOUN
ejpam-5383	186	33	2	2	NUM
ejpam-5383	186	34	)	)	PUNCT
ejpam-5383	186	35	+	+	CCONJ
ejpam-5383	186	36	1	1	NUM
ejpam-5383	186	37	]	]	PUNCT
ejpam-5383	186	38	,	,	PUNCT
ejpam-5383	186	39	1	1	NUM
ejpam-5383	186	40	≤	≤	NUM
ejpam-5383	186	41	j	j	PROPN
ejpam-5383	186	42	≤	≤	NUM
ejpam-5383	186	43	m	m	VERB
ejpam-5383	186	44	v.	v.	ADP
ejpam-5383	186	45	sandhiya	sandhiya	PROPN
ejpam-5383	186	46	,	,	PUNCT
ejpam-5383	186	47	m.	m.	NOUN
ejpam-5383	186	48	nalliah	nalliah	PROPN
ejpam-5383	186	49	/	/	SYM
ejpam-5383	186	50	eur	eur	PROPN
ejpam-5383	186	51	.	.	PUNCT
ejpam-5383	187	1	j.	j.	PROPN
ejpam-5383	187	2	pure	pure	PROPN
ejpam-5383	187	3	appl	appl	PROPN
ejpam-5383	187	4	.	.	PROPN
ejpam-5383	187	5	math	math	PROPN
ejpam-5383	187	6	,	,	PUNCT
ejpam-5383	187	7	17	17	NUM
ejpam-5383	187	8	(	(	PUNCT
ejpam-5383	187	9	4	4	NUM
ejpam-5383	187	10	)	)	PUNCT
ejpam-5383	187	11	(	(	PUNCT
ejpam-5383	187	12	2024	2024	NUM
ejpam-5383	187	13	)	)	PUNCT
ejpam-5383	187	14	,	,	PUNCT
ejpam-5383	187	15	2828	2828	NUM
ejpam-5383	187	16	-	-	SYM
ejpam-5383	187	17	2842	2842	NUM
ejpam-5383	187	18	2834	2834	NUM
ejpam-5383	187	19	w(cju	w(cju	PROPN
ejpam-5383	187	20	j	j	PROPN
ejpam-5383	187	21	i	i	PROPN
ejpam-5383	187	22	)	)	PUNCT
ejpam-5383	188	1	=	=	PRON
ejpam-5383	188	2	mn+mi+	mn+mi+	ADJ
ejpam-5383	188	3	1	1	NUM
ejpam-5383	188	4	,	,	PUNCT
ejpam-5383	188	5	1	1	NUM
ejpam-5383	188	6	≤	≤	NUM
ejpam-5383	188	7	i	i	PRON
ejpam-5383	188	8	≤	≤	PROPN
ejpam-5383	188	9	n	n	CCONJ
ejpam-5383	188	10	,	,	PUNCT
ejpam-5383	188	11	1	1	NUM
ejpam-5383	188	12	≤	≤	NUM
ejpam-5383	188	13	j	j	PROPN
ejpam-5383	189	1	≤	≤	NUM
ejpam-5383	189	2	m	m	VERB
ejpam-5383	189	3	c	c	NOUN
ejpam-5383	189	4	-	-	PUNCT
ejpam-5383	189	5	set	set	VERB
ejpam-5383	189	6	is{mn+m+	is{mn+m+	PROPN
ejpam-5383	189	7	1	1	NUM
ejpam-5383	189	8	,	,	PUNCT
ejpam-5383	189	9	mn+	mn+	NOUN
ejpam-5383	189	10	2m+	2m+	NUM
ejpam-5383	189	11	1	1	NUM
ejpam-5383	189	12	,	,	PUNCT
ejpam-5383	189	13	...	...	PUNCT
ejpam-5383	189	14	,	,	PUNCT
ejpam-5383	189	15	2mn−m+	2mn−m+	NUM
ejpam-5383	189	16	1	1	NUM
ejpam-5383	189	17	,	,	PUNCT
ejpam-5383	189	18	2mn+	2mn+	NUM
ejpam-5383	189	19	1	1	NUM
ejpam-5383	189	20	}	}	PUNCT
ejpam-5383	189	21	the	the	DET
ejpam-5383	189	22	union	union	NOUN
ejpam-5383	189	23	of	of	ADP
ejpam-5383	189	24	all	all	DET
ejpam-5383	189	25	distinct	distinct	ADJ
ejpam-5383	189	26	weights	weight	NOUN
ejpam-5383	189	27	of	of	ADP
ejpam-5383	189	28	a	a	DET
ejpam-5383	189	29	set	set	NOUN
ejpam-5383	189	30	c	c	NOUN
ejpam-5383	189	31	is	be	AUX
ejpam-5383	189	32	given	give	VERB
ejpam-5383	189	33	as	as	SCONJ
ejpam-5383	189	34	follows	follow	VERB
ejpam-5383	189	35	:	:	PUNCT
ejpam-5383	189	36	c	c	NOUN
ejpam-5383	189	37	=	=	SYM
ejpam-5383	189	38	w(uji	w(uji	X
ejpam-5383	189	39	)	)	PUNCT
ejpam-5383	189	40	∪	∪	ADP
ejpam-5383	189	41	w(cj	w(cj	NUM
ejpam-5383	189	42	)	)	PUNCT
ejpam-5383	189	43	∪	∪	ADP
ejpam-5383	189	44	w(cju	w(cju	PROPN
ejpam-5383	189	45	j	j	PROPN
ejpam-5383	189	46	i	i	PROPN
ejpam-5383	189	47	)	)	PUNCT
ejpam-5383	190	1	=[	=[	NOUN
ejpam-5383	190	2	mn+m+	mn+m+	X
ejpam-5383	190	3	1	1	NUM
ejpam-5383	190	4	,	,	PUNCT
ejpam-5383	190	5	2mn+m	2mn+m	NUM
ejpam-5383	190	6	]	]	PUNCT
ejpam-5383	190	7	∪	∪	X
ejpam-5383	190	8	{	{	PUNCT
ejpam-5383	190	9	2mn+	2mn+	NUM
ejpam-5383	190	10	n	n	PRON
ejpam-5383	190	11	2	2	NUM
ejpam-5383	190	12	[	[	X
ejpam-5383	190	13	m(3n−	m(3n−	NOUN
ejpam-5383	190	14	2	2	NUM
ejpam-5383	190	15	)	)	PUNCT
ejpam-5383	190	16	+	+	CCONJ
ejpam-5383	190	17	1	1	X
ejpam-5383	190	18	]	]	PUNCT
ejpam-5383	190	19	}	}	PUNCT
ejpam-5383	190	20	∪	∪	X
ejpam-5383	190	21	{	{	PUNCT
ejpam-5383	190	22	mn+m+	mn+m+	NOUN
ejpam-5383	190	23	1,mn+	1,mn+	NOUN
ejpam-5383	190	24	2m+	2m+	NUM
ejpam-5383	190	25	1	1	NUM
ejpam-5383	190	26	,	,	PUNCT
ejpam-5383	190	27	...	...	PUNCT
ejpam-5383	190	28	,	,	PUNCT
ejpam-5383	190	29	2mn−m+	2mn−m+	NUM
ejpam-5383	190	30	1	1	NUM
ejpam-5383	190	31	,	,	PUNCT
ejpam-5383	190	32	2mn+	2mn+	NUM
ejpam-5383	190	33	1	1	NUM
ejpam-5383	190	34	}	}	PUNCT
ejpam-5383	190	35	=[	=[	NOUN
ejpam-5383	190	36	mn+m+	mn+m+	NOUN
ejpam-5383	190	37	1	1	NUM
ejpam-5383	190	38	,	,	PUNCT
ejpam-5383	190	39	2mn+m	2mn+m	NUM
ejpam-5383	190	40	]	]	PUNCT
ejpam-5383	190	41	∪	∪	X
ejpam-5383	190	42	{	{	PUNCT
ejpam-5383	190	43	2mn+	2mn+	NUM
ejpam-5383	190	44	n	n	PRON
ejpam-5383	190	45	2	2	NUM
ejpam-5383	190	46	[	[	X
ejpam-5383	190	47	m(3n−	m(3n−	NOUN
ejpam-5383	190	48	2	2	NUM
ejpam-5383	190	49	)	)	PUNCT
ejpam-5383	190	50	+	+	CCONJ
ejpam-5383	190	51	1	1	NUM
ejpam-5383	190	52	]	]	PUNCT
ejpam-5383	190	53	}	}	PUNCT
ejpam-5383	190	54	and	and	CCONJ
ejpam-5383	190	55	hence	hence	ADV
ejpam-5383	190	56	|c|	|c|	PROPN
ejpam-5383	190	57	=	=	SYM
ejpam-5383	190	58	mn	mn	PROPN
ejpam-5383	190	59	+	+	NOUN
ejpam-5383	190	60	1	1	X
ejpam-5383	190	61	.	.	PUNCT
ejpam-5383	191	1	so	so	SCONJ
ejpam-5383	191	2	that	that	SCONJ
ejpam-5383	191	3	f	f	PROPN
ejpam-5383	191	4	admits	admit	VERB
ejpam-5383	191	5	local	local	ADJ
ejpam-5383	191	6	total	total	ADJ
ejpam-5383	191	7	antimagic	antimagic	ADJ
ejpam-5383	191	8	labeling	labeling	NOUN
ejpam-5383	191	9	with	with	ADP
ejpam-5383	191	10	mn	mn	PROPN
ejpam-5383	191	11	+	+	CCONJ
ejpam-5383	191	12	1	1	NUM
ejpam-5383	191	13	colors	color	NOUN
ejpam-5383	191	14	.	.	PUNCT
ejpam-5383	192	1	thus	thus	ADV
ejpam-5383	192	2	χlt(mk1,n	χlt(mk1,n	NOUN
ejpam-5383	192	3	)	)	PUNCT
ejpam-5383	192	4	≤	≤	NUM
ejpam-5383	192	5	mn	mn	PROPN
ejpam-5383	192	6	+	+	CCONJ
ejpam-5383	192	7	1	1	X
ejpam-5383	192	8	.	.	PUNCT
ejpam-5383	192	9	by	by	ADP
ejpam-5383	192	10	theorem	theorem	NOUN
ejpam-5383	192	11	1	1	NUM
ejpam-5383	193	1	[	[	SYM
ejpam-5383	193	2	35	35	NUM
ejpam-5383	193	3	]	]	PUNCT
ejpam-5383	193	4	,	,	PUNCT
ejpam-5383	193	5	we	we	PRON
ejpam-5383	193	6	get	get	VERB
ejpam-5383	193	7	χlt(mk1,n	χlt(mk1,n	NOUN
ejpam-5383	193	8	)	)	PUNCT
ejpam-5383	193	9	≥	≥	NOUN
ejpam-5383	193	10	mn	mn	PROPN
ejpam-5383	194	1	+	+	NOUN
ejpam-5383	194	2	1	1	X
ejpam-5383	194	3	.	.	PUNCT
ejpam-5383	194	4	thus	thus	ADV
ejpam-5383	194	5	χlt(mk1,n	χlt(mk1,n	NOUN
ejpam-5383	194	6	)	)	PUNCT
ejpam-5383	195	1	=	=	VERB
ejpam-5383	195	2	mn+	mn+	NOUN
ejpam-5383	195	3	1	1	X
ejpam-5383	195	4	.	.	PUNCT
ejpam-5383	195	5	case	case	NOUN
ejpam-5383	195	6	2	2	NUM
ejpam-5383	195	7	:	:	PUNCT
ejpam-5383	195	8	when	when	SCONJ
ejpam-5383	195	9	n	n	X
ejpam-5383	195	10	is	be	AUX
ejpam-5383	195	11	odd	odd	ADJ
ejpam-5383	195	12	:	:	PUNCT
ejpam-5383	195	13	subcase	subcase	NOUN
ejpam-5383	195	14	2(a	2(a	NUM
ejpam-5383	195	15	):	):	PUNCT
ejpam-5383	195	16	n	n	PROPN
ejpam-5383	195	17	=	=	SYM
ejpam-5383	195	18	3	3	NUM
ejpam-5383	195	19	is	be	AUX
ejpam-5383	195	20	odd	odd	ADJ
ejpam-5383	195	21	.	.	PUNCT
ejpam-5383	196	1	define	define	VERB
ejpam-5383	196	2	a	a	DET
ejpam-5383	196	3	labeling	labeling	NOUN
ejpam-5383	196	4	f	f	NOUN
ejpam-5383	196	5	:	:	PUNCT
ejpam-5383	196	6	v	v	X
ejpam-5383	196	7	(	(	PUNCT
ejpam-5383	196	8	mk1,3	mk1,3	NOUN
ejpam-5383	196	9	)	)	PUNCT
ejpam-5383	196	10	∪	∪	ADP
ejpam-5383	196	11	e(mk1,3	e(mk1,3	PROPN
ejpam-5383	196	12	)	)	PUNCT
ejpam-5383	196	13	→	→	PUNCT
ejpam-5383	196	14	{	{	PUNCT
ejpam-5383	196	15	1	1	NUM
ejpam-5383	196	16	,	,	PUNCT
ejpam-5383	196	17	2	2	NUM
ejpam-5383	196	18	,	,	PUNCT
ejpam-5383	196	19	3	3	NUM
ejpam-5383	196	20	,	,	PUNCT
ejpam-5383	196	21	...	...	PUNCT
ejpam-5383	196	22	,	,	PUNCT
ejpam-5383	196	23	7	7	NUM
ejpam-5383	196	24	m	m	VERB
ejpam-5383	196	25	}	}	PUNCT
ejpam-5383	196	26	by	by	ADP
ejpam-5383	196	27	f(uji	f(uji	NOUN
ejpam-5383	196	28	)	)	PUNCT
ejpam-5383	196	29	=	=	PUNCT
ejpam-5383	197	1			NOUN
ejpam-5383	197	2	3m+	3m+	NUM
ejpam-5383	197	3	3−	3−	NUM
ejpam-5383	197	4	3j	3j	NOUN
ejpam-5383	197	5	,	,	PUNCT
ejpam-5383	197	6	i	i	PRON
ejpam-5383	197	7	=	=	NOUN
ejpam-5383	197	8	1	1	NUM
ejpam-5383	197	9	,	,	PUNCT
ejpam-5383	197	10	1	1	NUM
ejpam-5383	197	11	≤	≤	NUM
ejpam-5383	197	12	j	j	PROPN
ejpam-5383	197	13	≤	≤	PROPN
ejpam-5383	197	14	m	m	PROPN
ejpam-5383	197	15	,	,	PUNCT
ejpam-5383	197	16	c	c	X
ejpam-5383	197	17	-	-	PUNCT
ejpam-5383	197	18	set	set	NOUN
ejpam-5383	197	19	is	be	AUX
ejpam-5383	197	20	{	{	PUNCT
ejpam-5383	197	21	3	3	NUM
ejpam-5383	197	22	m	m	PROPN
ejpam-5383	197	23	,	,	PUNCT
ejpam-5383	197	24	3m−	3m−	PROPN
ejpam-5383	197	25	3	3	NUM
ejpam-5383	197	26	,	,	PUNCT
ejpam-5383	197	27	...	...	PUNCT
ejpam-5383	197	28	,	,	PUNCT
ejpam-5383	197	29	9	9	NUM
ejpam-5383	197	30	,	,	PUNCT
ejpam-5383	197	31	6	6	NUM
ejpam-5383	197	32	,	,	PUNCT
ejpam-5383	197	33	3	3	NUM
ejpam-5383	197	34	}	}	PUNCT
ejpam-5383	197	35	3m+	3m+	NUM
ejpam-5383	197	36	1−	1−	NUM
ejpam-5383	197	37	3j	3j	NUM
ejpam-5383	197	38	,	,	PUNCT
ejpam-5383	197	39	i	i	PRON
ejpam-5383	197	40	=	=	NOUN
ejpam-5383	197	41	2	2	NUM
ejpam-5383	197	42	,	,	PUNCT
ejpam-5383	197	43	1	1	NUM
ejpam-5383	197	44	≤	≤	NUM
ejpam-5383	197	45	j	j	PROPN
ejpam-5383	197	46	≤	≤	PROPN
ejpam-5383	197	47	m	m	PROPN
ejpam-5383	197	48	,	,	PUNCT
ejpam-5383	197	49	c	c	X
ejpam-5383	197	50	-	-	PUNCT
ejpam-5383	197	51	set	set	NOUN
ejpam-5383	197	52	is	be	AUX
ejpam-5383	197	53	{	{	PUNCT
ejpam-5383	197	54	3m−	3m−	PROPN
ejpam-5383	197	55	2	2	NUM
ejpam-5383	197	56	,	,	PUNCT
ejpam-5383	197	57	3m−	3m−	PROPN
ejpam-5383	197	58	5	5	NUM
ejpam-5383	197	59	,	,	PUNCT
ejpam-5383	197	60	...	...	PUNCT
ejpam-5383	197	61	,	,	PUNCT
ejpam-5383	197	62	7	7	NUM
ejpam-5383	197	63	,	,	PUNCT
ejpam-5383	197	64	4	4	NUM
ejpam-5383	197	65	,	,	PUNCT
ejpam-5383	197	66	1	1	NUM
ejpam-5383	197	67	}	}	PUNCT
ejpam-5383	197	68	3m+	3m+	NUM
ejpam-5383	197	69	2−	2−	NUM
ejpam-5383	197	70	3j	3j	NOUN
ejpam-5383	197	71	,	,	PUNCT
ejpam-5383	197	72	i	i	PRON
ejpam-5383	197	73	=	=	NOUN
ejpam-5383	197	74	3	3	NUM
ejpam-5383	197	75	,	,	PUNCT
ejpam-5383	197	76	1	1	NUM
ejpam-5383	197	77	≤	≤	NUM
ejpam-5383	197	78	j	j	PROPN
ejpam-5383	197	79	≤	≤	PROPN
ejpam-5383	197	80	m	m	PROPN
ejpam-5383	197	81	,	,	PUNCT
ejpam-5383	197	82	c	c	X
ejpam-5383	197	83	-	-	PUNCT
ejpam-5383	197	84	set	set	NOUN
ejpam-5383	197	85	is	be	AUX
ejpam-5383	197	86	{	{	PUNCT
ejpam-5383	197	87	3m−	3m−	PROPN
ejpam-5383	197	88	1	1	NUM
ejpam-5383	197	89	,	,	PUNCT
ejpam-5383	197	90	3m−	3m−	PROPN
ejpam-5383	197	91	4	4	NUM
ejpam-5383	197	92	,	,	PUNCT
ejpam-5383	197	93	...	...	PUNCT
ejpam-5383	197	94	,	,	PUNCT
ejpam-5383	197	95	8	8	NUM
ejpam-5383	197	96	,	,	PUNCT
ejpam-5383	197	97	5	5	NUM
ejpam-5383	197	98	,	,	PUNCT
ejpam-5383	197	99	2	2	NUM
ejpam-5383	197	100	}	}	SYM
ejpam-5383	197	101	f(cj	f(cj	NUM
ejpam-5383	197	102	)	)	PUNCT
ejpam-5383	197	103	=	=	SYM
ejpam-5383	198	1	3m−	3m−	NUM
ejpam-5383	198	2	1	1	NUM
ejpam-5383	198	3	+	+	CCONJ
ejpam-5383	198	4	2j	2j	NUM
ejpam-5383	198	5	,	,	PUNCT
ejpam-5383	198	6	1	1	NUM
ejpam-5383	198	7	≤	≤	NUM
ejpam-5383	198	8	j	j	PROPN
ejpam-5383	198	9	≤	≤	PROPN
ejpam-5383	198	10	m	m	PROPN
ejpam-5383	198	11	;	;	PUNCT
ejpam-5383	198	12	c	c	X
ejpam-5383	198	13	-	-	PUNCT
ejpam-5383	198	14	set	set	NOUN
ejpam-5383	198	15	is	be	AUX
ejpam-5383	198	16	{	{	PUNCT
ejpam-5383	198	17	3m+	3m+	NUM
ejpam-5383	198	18	1	1	NUM
ejpam-5383	198	19	,	,	PUNCT
ejpam-5383	198	20	3m+	3m+	NUM
ejpam-5383	198	21	3	3	NUM
ejpam-5383	198	22	,	,	PUNCT
ejpam-5383	198	23	3m+	3m+	NUM
ejpam-5383	198	24	5	5	NUM
ejpam-5383	198	25	,	,	PUNCT
ejpam-5383	198	26	...	...	PUNCT
ejpam-5383	198	27	,	,	PUNCT
ejpam-5383	198	28	5m−	5m−	NUM
ejpam-5383	198	29	3	3	NUM
ejpam-5383	198	30	,	,	PUNCT
ejpam-5383	198	31	5m−	5m−	NUM
ejpam-5383	198	32	1	1	NUM
ejpam-5383	198	33	}	}	PUNCT
ejpam-5383	198	34	f(cju	f(cju	NOUN
ejpam-5383	198	35	j	j	PROPN
ejpam-5383	198	36	i	i	PROPN
ejpam-5383	198	37	)	)	PUNCT
ejpam-5383	199	1	=	=	PUNCT
ejpam-5383	199	2			NUM
ejpam-5383	199	3	7m+	7m+	NUM
ejpam-5383	199	4	1−	1−	NUM
ejpam-5383	199	5	j	j	NOUN
ejpam-5383	199	6	,	,	PUNCT
ejpam-5383	199	7	i	i	PRON
ejpam-5383	199	8	=	=	NOUN
ejpam-5383	199	9	1	1	NUM
ejpam-5383	199	10	,	,	PUNCT
ejpam-5383	199	11	1	1	NUM
ejpam-5383	199	12	≤	≤	NUM
ejpam-5383	199	13	j	j	PROPN
ejpam-5383	199	14	≤	≤	PROPN
ejpam-5383	199	15	m	m	PROPN
ejpam-5383	199	16	,	,	PUNCT
ejpam-5383	199	17	c	c	X
ejpam-5383	199	18	-	-	PUNCT
ejpam-5383	199	19	set	set	NOUN
ejpam-5383	199	20	is	be	AUX
ejpam-5383	199	21	{	{	PUNCT
ejpam-5383	199	22	7	7	NUM
ejpam-5383	199	23	m	m	NOUN
ejpam-5383	199	24	,	,	PUNCT
ejpam-5383	199	25	7m−	7m−	PROPN
ejpam-5383	199	26	1	1	NUM
ejpam-5383	199	27	,	,	PUNCT
ejpam-5383	199	28	7m−	7m−	NUM
ejpam-5383	199	29	2	2	NUM
ejpam-5383	199	30	,	,	PUNCT
ejpam-5383	199	31	...	...	PUNCT
ejpam-5383	199	32	,	,	PUNCT
ejpam-5383	199	33	6m+	6m+	PROPN
ejpam-5383	199	34	2	2	NUM
ejpam-5383	199	35	,	,	PUNCT
ejpam-5383	199	36	6m+	6m+	NOUN
ejpam-5383	199	37	1	1	NUM
ejpam-5383	199	38	}	}	PUNCT
ejpam-5383	199	39	6m+	6m+	NUM
ejpam-5383	199	40	1−	1−	NUM
ejpam-5383	199	41	j	j	PROPN
ejpam-5383	199	42	,	,	PUNCT
ejpam-5383	199	43	i	i	PRON
ejpam-5383	199	44	=	=	NOUN
ejpam-5383	199	45	2	2	NUM
ejpam-5383	199	46	,	,	PUNCT
ejpam-5383	199	47	1	1	NUM
ejpam-5383	199	48	≤	≤	NUM
ejpam-5383	199	49	j	j	PROPN
ejpam-5383	199	50	≤	≤	PROPN
ejpam-5383	199	51	m	m	PROPN
ejpam-5383	199	52	,	,	PUNCT
ejpam-5383	199	53	c	c	X
ejpam-5383	199	54	-	-	PUNCT
ejpam-5383	199	55	set	set	NOUN
ejpam-5383	199	56	is	be	AUX
ejpam-5383	199	57	{	{	PUNCT
ejpam-5383	199	58	6	6	NUM
ejpam-5383	199	59	m	m	NOUN
ejpam-5383	199	60	,	,	PUNCT
ejpam-5383	199	61	6m−	6m−	PROPN
ejpam-5383	199	62	1	1	NUM
ejpam-5383	199	63	,	,	PUNCT
ejpam-5383	199	64	6m−	6m−	PROPN
ejpam-5383	199	65	2	2	NUM
ejpam-5383	199	66	,	,	PUNCT
ejpam-5383	199	67	...	...	PUNCT
ejpam-5383	199	68	,	,	PUNCT
ejpam-5383	199	69	5m+	5m+	NUM
ejpam-5383	199	70	2	2	NUM
ejpam-5383	199	71	,	,	PUNCT
ejpam-5383	199	72	5m+	5m+	NUM
ejpam-5383	199	73	1	1	NUM
ejpam-5383	199	74	}	}	PUNCT
ejpam-5383	199	75	3m+	3m+	NUM
ejpam-5383	199	76	2j	2j	NUM
ejpam-5383	199	77	,	,	PUNCT
ejpam-5383	199	78	i	i	PRON
ejpam-5383	199	79	=	=	NOUN
ejpam-5383	199	80	3	3	NUM
ejpam-5383	199	81	,	,	PUNCT
ejpam-5383	199	82	1	1	NUM
ejpam-5383	199	83	≤	≤	NUM
ejpam-5383	199	84	j	j	PROPN
ejpam-5383	199	85	≤	≤	PROPN
ejpam-5383	199	86	m	m	PROPN
ejpam-5383	199	87	,	,	PUNCT
ejpam-5383	199	88	c	c	X
ejpam-5383	199	89	-	-	PUNCT
ejpam-5383	199	90	set	set	NOUN
ejpam-5383	199	91	is	be	AUX
ejpam-5383	199	92	{	{	PUNCT
ejpam-5383	199	93	3m+	3m+	NUM
ejpam-5383	199	94	2	2	NUM
ejpam-5383	199	95	,	,	PUNCT
ejpam-5383	199	96	3m+	3m+	NUM
ejpam-5383	199	97	4	4	NUM
ejpam-5383	199	98	,	,	PUNCT
ejpam-5383	199	99	3m+	3m+	NUM
ejpam-5383	199	100	6	6	NUM
ejpam-5383	199	101	,	,	PUNCT
ejpam-5383	199	102	...	...	PUNCT
ejpam-5383	199	103	,	,	PUNCT
ejpam-5383	199	104	5m−	5m−	NUM
ejpam-5383	199	105	2	2	NUM
ejpam-5383	199	106	,	,	PUNCT
ejpam-5383	199	107	5	5	NUM
ejpam-5383	199	108	m	m	NOUN
ejpam-5383	199	109	}	}	PUNCT
ejpam-5383	199	110	then	then	ADV
ejpam-5383	199	111	the	the	DET
ejpam-5383	199	112	vertex	vertex	NOUN
ejpam-5383	199	113	and	and	CCONJ
ejpam-5383	199	114	edge	edge	NOUN
ejpam-5383	199	115	weights	weight	NOUN
ejpam-5383	199	116	are	be	AUX
ejpam-5383	199	117	w(uji	w(uji	PUNCT
ejpam-5383	199	118	)	)	PUNCT
ejpam-5383	200	1	=	=	SYM
ejpam-5383	200	2	f(cju	f(cju	X
ejpam-5383	200	3	j	j	PROPN
ejpam-5383	200	4	i	i	PROPN
ejpam-5383	200	5	)	)	PUNCT
ejpam-5383	200	6	,	,	PUNCT
ejpam-5383	200	7	1	1	NUM
ejpam-5383	200	8	≤	≤	NUM
ejpam-5383	200	9	i	i	X
ejpam-5383	200	10	≤	≤	NOUN
ejpam-5383	200	11	3	3	NUM
ejpam-5383	200	12	,	,	PUNCT
ejpam-5383	200	13	1	1	NUM
ejpam-5383	200	14	≤	≤	NUM
ejpam-5383	200	15	j	j	PROPN
ejpam-5383	200	16	≤	≤	PROPN
ejpam-5383	200	17	m	m	VERB
ejpam-5383	200	18	w(cj	w(cj	PROPN
ejpam-5383	200	19	)	)	PUNCT
ejpam-5383	200	20	=	=	SYM
ejpam-5383	201	1	16m+	16m+	NUM
ejpam-5383	201	2	2	2	NUM
ejpam-5383	201	3	,	,	PUNCT
ejpam-5383	201	4	1	1	NUM
ejpam-5383	201	5	≤	≤	NUM
ejpam-5383	201	6	j	j	PROPN
ejpam-5383	202	1	≤	≤	NUM
ejpam-5383	202	2	m	m	VERB
ejpam-5383	202	3	w(cju	w(cju	PROPN
ejpam-5383	202	4	j	j	PROPN
ejpam-5383	202	5	1	1	NUM
ejpam-5383	202	6	)	)	PUNCT
ejpam-5383	202	7	=	=	PUNCT
ejpam-5383	203	1	6m+	6m+	NUM
ejpam-5383	203	2	2−	2−	NUM
ejpam-5383	203	3	j	j	NOUN
ejpam-5383	203	4	,	,	PUNCT
ejpam-5383	203	5	1	1	NUM
ejpam-5383	203	6	≤	≤	NUM
ejpam-5383	203	7	j	j	PROPN
ejpam-5383	203	8	≤	≤	PROPN
ejpam-5383	203	9	m	m	PROPN
ejpam-5383	203	10	,	,	PUNCT
ejpam-5383	203	11	c	c	X
ejpam-5383	203	12	-	-	PUNCT
ejpam-5383	203	13	set	set	NOUN
ejpam-5383	203	14	is	be	AUX
ejpam-5383	203	15	{	{	PUNCT
ejpam-5383	203	16	6m+	6m+	PROPN
ejpam-5383	203	17	1	1	NUM
ejpam-5383	203	18	,	,	PUNCT
ejpam-5383	203	19	6	6	NUM
ejpam-5383	203	20	m	m	NOUN
ejpam-5383	203	21	,	,	PUNCT
ejpam-5383	203	22	6m−	6m−	PROPN
ejpam-5383	203	23	1	1	NUM
ejpam-5383	203	24	,	,	PUNCT
ejpam-5383	203	25	...	...	PUNCT
ejpam-5383	203	26	,	,	PUNCT
ejpam-5383	203	27	5m+	5m+	NUM
ejpam-5383	203	28	3	3	NUM
ejpam-5383	203	29	,	,	PUNCT
ejpam-5383	203	30	5m+	5m+	NUM
ejpam-5383	203	31	2	2	NUM
ejpam-5383	203	32	}	}	PUNCT
ejpam-5383	203	33	w(cju	w(cju	PROPN
ejpam-5383	203	34	j	j	PROPN
ejpam-5383	203	35	2	2	NUM
ejpam-5383	203	36	)	)	PUNCT
ejpam-5383	203	37	=	=	PUNCT
ejpam-5383	204	1	6m−	6m−	PROPN
ejpam-5383	204	2	j	j	NOUN
ejpam-5383	204	3	,	,	PUNCT
ejpam-5383	204	4	1	1	NUM
ejpam-5383	204	5	≤	≤	NUM
ejpam-5383	204	6	j	j	PROPN
ejpam-5383	204	7	≤	≤	PROPN
ejpam-5383	204	8	m	m	PROPN
ejpam-5383	204	9	,	,	PUNCT
ejpam-5383	204	10	c	c	X
ejpam-5383	204	11	-	-	PUNCT
ejpam-5383	204	12	set	set	NOUN
ejpam-5383	204	13	is	be	AUX
ejpam-5383	204	14	{	{	PUNCT
ejpam-5383	204	15	6m−	6m−	PROPN
ejpam-5383	204	16	1	1	NUM
ejpam-5383	204	17	,	,	PUNCT
ejpam-5383	204	18	6m−	6m−	PROPN
ejpam-5383	204	19	2	2	NUM
ejpam-5383	204	20	,	,	PUNCT
ejpam-5383	204	21	6m−	6m−	PROPN
ejpam-5383	204	22	3	3	NUM
ejpam-5383	204	23	,	,	PUNCT
ejpam-5383	204	24	...	...	PUNCT
ejpam-5383	204	25	,	,	PUNCT
ejpam-5383	204	26	5m+	5m+	NUM
ejpam-5383	204	27	1	1	NUM
ejpam-5383	204	28	,	,	PUNCT
ejpam-5383	204	29	5	5	NUM
ejpam-5383	204	30	m	m	NOUN
ejpam-5383	204	31	}	}	PUNCT
ejpam-5383	204	32	w(cju	w(cju	PROPN
ejpam-5383	204	33	j	j	PROPN
ejpam-5383	204	34	3	3	NUM
ejpam-5383	204	35	)	)	PUNCT
ejpam-5383	204	36	=	=	PUNCT
ejpam-5383	205	1	6m+	6m+	PROPN
ejpam-5383	205	2	1−	1−	NUM
ejpam-5383	205	3	j	j	PROPN
ejpam-5383	205	4	,	,	PUNCT
ejpam-5383	205	5	1	1	NUM
ejpam-5383	205	6	≤	≤	NUM
ejpam-5383	205	7	j	j	PROPN
ejpam-5383	205	8	≤	≤	PROPN
ejpam-5383	205	9	m	m	PROPN
ejpam-5383	205	10	,	,	PUNCT
ejpam-5383	205	11	v.	v.	PROPN
ejpam-5383	205	12	sandhiya	sandhiya	PROPN
ejpam-5383	205	13	,	,	PUNCT
ejpam-5383	205	14	m.	m.	NOUN
ejpam-5383	205	15	nalliah	nalliah	PROPN
ejpam-5383	205	16	/	/	SYM
ejpam-5383	205	17	eur	eur	PROPN
ejpam-5383	205	18	.	.	PUNCT
ejpam-5383	206	1	j.	j.	PROPN
ejpam-5383	206	2	pure	pure	PROPN
ejpam-5383	206	3	appl	appl	PROPN
ejpam-5383	206	4	.	.	PROPN
ejpam-5383	206	5	math	math	PROPN
ejpam-5383	206	6	,	,	PUNCT
ejpam-5383	206	7	17	17	NUM
ejpam-5383	206	8	(	(	PUNCT
ejpam-5383	206	9	4	4	NUM
ejpam-5383	206	10	)	)	PUNCT
ejpam-5383	206	11	(	(	PUNCT
ejpam-5383	206	12	2024	2024	NUM
ejpam-5383	206	13	)	)	PUNCT
ejpam-5383	206	14	,	,	PUNCT
ejpam-5383	206	15	2828	2828	NUM
ejpam-5383	206	16	-	-	SYM
ejpam-5383	206	17	2842	2842	NUM
ejpam-5383	206	18	2835	2835	NUM
ejpam-5383	206	19	c	c	NOUN
ejpam-5383	206	20	-	-	PUNCT
ejpam-5383	206	21	set	set	NOUN
ejpam-5383	206	22	is	be	AUX
ejpam-5383	206	23	{	{	PUNCT
ejpam-5383	206	24	6	6	NUM
ejpam-5383	206	25	m	m	NOUN
ejpam-5383	206	26	,	,	PUNCT
ejpam-5383	206	27	6m−	6m−	PROPN
ejpam-5383	206	28	1	1	NUM
ejpam-5383	206	29	,	,	PUNCT
ejpam-5383	206	30	6m−	6m−	PROPN
ejpam-5383	206	31	2	2	NUM
ejpam-5383	206	32	...	...	PUNCT
ejpam-5383	206	33	,	,	PUNCT
ejpam-5383	206	34	5m+	5m+	NUM
ejpam-5383	206	35	2	2	NUM
ejpam-5383	206	36	,	,	PUNCT
ejpam-5383	206	37	5m+	5m+	NUM
ejpam-5383	206	38	1	1	NUM
ejpam-5383	206	39	}	}	PUNCT
ejpam-5383	206	40	the	the	DET
ejpam-5383	206	41	union	union	NOUN
ejpam-5383	206	42	of	of	ADP
ejpam-5383	206	43	all	all	DET
ejpam-5383	206	44	distinct	distinct	ADJ
ejpam-5383	206	45	weights	weight	NOUN
ejpam-5383	206	46	of	of	ADP
ejpam-5383	206	47	a	a	DET
ejpam-5383	206	48	set	set	NOUN
ejpam-5383	206	49	c	c	NOUN
ejpam-5383	206	50	is	be	AUX
ejpam-5383	206	51	given	give	VERB
ejpam-5383	206	52	as	as	SCONJ
ejpam-5383	206	53	follows	follow	VERB
ejpam-5383	206	54	:	:	PUNCT
ejpam-5383	206	55	c	c	NOUN
ejpam-5383	206	56	=	=	SYM
ejpam-5383	206	57	w(uji	w(uji	X
ejpam-5383	206	58	)	)	PUNCT
ejpam-5383	206	59	∪	∪	ADP
ejpam-5383	206	60	w(cj	w(cj	NUM
ejpam-5383	206	61	)	)	PUNCT
ejpam-5383	206	62	∪	∪	ADP
ejpam-5383	206	63	w(cju	w(cju	PROPN
ejpam-5383	206	64	j	j	PROPN
ejpam-5383	206	65	1	1	NUM
ejpam-5383	206	66	)	)	PUNCT
ejpam-5383	206	67	∪	∪	ADP
ejpam-5383	206	68	w(cju	w(cju	PROPN
ejpam-5383	206	69	j	j	PROPN
ejpam-5383	206	70	2	2	NUM
ejpam-5383	206	71	)	)	PUNCT
ejpam-5383	206	72	∪	∪	ADP
ejpam-5383	206	73	w(cju	w(cju	PROPN
ejpam-5383	206	74	j	j	PROPN
ejpam-5383	206	75	3	3	NUM
ejpam-5383	206	76	)	)	PUNCT
ejpam-5383	206	77	=	=	NOUN
ejpam-5383	206	78	{	{	PUNCT
ejpam-5383	206	79	[	[	X
ejpam-5383	206	80	5m+	5m+	NUM
ejpam-5383	206	81	1	1	NUM
ejpam-5383	206	82	,	,	PUNCT
ejpam-5383	206	83	7	7	NUM
ejpam-5383	206	84	m	m	NOUN
ejpam-5383	206	85	]	]	X
ejpam-5383	206	86	∪	∪	X
ejpam-5383	206	87	{	{	PUNCT
ejpam-5383	206	88	3m+	3m+	NUM
ejpam-5383	206	89	2	2	NUM
ejpam-5383	206	90	,	,	PUNCT
ejpam-5383	206	91	3m+	3m+	NUM
ejpam-5383	206	92	4	4	NUM
ejpam-5383	206	93	,	,	PUNCT
ejpam-5383	206	94	3m+	3m+	NUM
ejpam-5383	206	95	6	6	NUM
ejpam-5383	206	96	,	,	PUNCT
ejpam-5383	206	97	...	...	PUNCT
ejpam-5383	206	98	,	,	PUNCT
ejpam-5383	206	99	5m−	5m−	NUM
ejpam-5383	206	100	2	2	NUM
ejpam-5383	206	101	,	,	PUNCT
ejpam-5383	206	102	5	5	NUM
ejpam-5383	206	103	m	m	NOUN
ejpam-5383	206	104	}	}	PUNCT
ejpam-5383	206	105	}	}	PUNCT
ejpam-5383	206	106	∪	∪	X
ejpam-5383	206	107	{	{	PUNCT
ejpam-5383	206	108	16m+	16m+	NUM
ejpam-5383	206	109	2	2	NUM
ejpam-5383	206	110	}	}	PUNCT
ejpam-5383	206	111	∪	∪	ADP
ejpam-5383	206	112	[	[	X
ejpam-5383	206	113	5m+	5m+	NUM
ejpam-5383	206	114	2	2	NUM
ejpam-5383	206	115	,	,	PUNCT
ejpam-5383	206	116	6m+	6m+	NOUN
ejpam-5383	206	117	1	1	NUM
ejpam-5383	206	118	]	]	PUNCT
ejpam-5383	206	119	∪	∪	ADP
ejpam-5383	206	120	[	[	PUNCT
ejpam-5383	206	121	5	5	NUM
ejpam-5383	206	122	m	m	NOUN
ejpam-5383	206	123	,	,	PUNCT
ejpam-5383	206	124	6m−	6m−	PROPN
ejpam-5383	206	125	1	1	NUM
ejpam-5383	206	126	]	]	PUNCT
ejpam-5383	206	127	∪	∪	ADP
ejpam-5383	206	128	[	[	X
ejpam-5383	206	129	5m+	5m+	NUM
ejpam-5383	206	130	1	1	NUM
ejpam-5383	206	131	,	,	PUNCT
ejpam-5383	206	132	6	6	NUM
ejpam-5383	206	133	m	m	NOUN
ejpam-5383	206	134	]	]	X
ejpam-5383	207	1	=	=	PUNCT
ejpam-5383	207	2	[	[	X
ejpam-5383	207	3	5m+	5m+	NUM
ejpam-5383	207	4	1	1	NUM
ejpam-5383	207	5	,	,	PUNCT
ejpam-5383	207	6	7	7	NUM
ejpam-5383	207	7	m	m	NOUN
ejpam-5383	207	8	]	]	X
ejpam-5383	207	9	∪	∪	X
ejpam-5383	207	10	{	{	PUNCT
ejpam-5383	207	11	3m+	3m+	NUM
ejpam-5383	207	12	2	2	NUM
ejpam-5383	207	13	,	,	PUNCT
ejpam-5383	207	14	3m+	3m+	NUM
ejpam-5383	207	15	4	4	NUM
ejpam-5383	207	16	,	,	PUNCT
ejpam-5383	207	17	3m+	3m+	NUM
ejpam-5383	207	18	6	6	NUM
ejpam-5383	207	19	,	,	PUNCT
ejpam-5383	207	20	...	...	PUNCT
ejpam-5383	207	21	,	,	PUNCT
ejpam-5383	207	22	5m−	5m−	NUM
ejpam-5383	207	23	2	2	NUM
ejpam-5383	207	24	,	,	PUNCT
ejpam-5383	207	25	5	5	NUM
ejpam-5383	207	26	m	m	NOUN
ejpam-5383	207	27	}	}	PUNCT
ejpam-5383	207	28	∪	∪	ADJ
ejpam-5383	207	29	{	{	PUNCT
ejpam-5383	207	30	16m+	16m+	NUM
ejpam-5383	207	31	2	2	NUM
ejpam-5383	207	32	}	}	PUNCT
ejpam-5383	207	33	and	and	CCONJ
ejpam-5383	207	34	hence	hence	ADV
ejpam-5383	207	35	|c|	|c|	PROPN
ejpam-5383	207	36	=	=	SYM
ejpam-5383	207	37	3m+	3m+	NUM
ejpam-5383	207	38	1	1	X
ejpam-5383	207	39	.	.	PUNCT
ejpam-5383	208	1	so	so	SCONJ
ejpam-5383	208	2	that	that	SCONJ
ejpam-5383	208	3	f	f	PROPN
ejpam-5383	208	4	provides	provide	VERB
ejpam-5383	208	5	a	a	DET
ejpam-5383	208	6	local	local	ADJ
ejpam-5383	208	7	total	total	ADJ
ejpam-5383	208	8	antimagic	antimagic	ADJ
ejpam-5383	208	9	labeling	labeling	NOUN
ejpam-5383	208	10	with	with	ADP
ejpam-5383	208	11	3m+	3m+	NUM
ejpam-5383	208	12	1	1	NUM
ejpam-5383	208	13	colors	color	NOUN
ejpam-5383	208	14	.	.	PUNCT
ejpam-5383	209	1	thus	thus	ADV
ejpam-5383	209	2	χlt(mk1,3	χlt(mk1,3	VERB
ejpam-5383	209	3	)	)	PUNCT
ejpam-5383	209	4	≤	≤	NOUN
ejpam-5383	209	5	3m+1	3m+1	NUM
ejpam-5383	209	6	.	.	PUNCT
ejpam-5383	210	1	by	by	ADP
ejpam-5383	210	2	theorem	theorem	NOUN
ejpam-5383	210	3	1	1	NUM
ejpam-5383	210	4	[	[	SYM
ejpam-5383	210	5	35	35	NUM
ejpam-5383	210	6	]	]	PUNCT
ejpam-5383	210	7	,	,	PUNCT
ejpam-5383	210	8	we	we	PRON
ejpam-5383	210	9	get	get	VERB
ejpam-5383	210	10	χlt(mk1,3	χlt(mk1,3	ADJ
ejpam-5383	210	11	)	)	PUNCT
ejpam-5383	210	12	≥	≥	PROPN
ejpam-5383	211	1	3m+1	3m+1	NUM
ejpam-5383	211	2	.	.	PUNCT
ejpam-5383	212	1	thus	thus	ADV
ejpam-5383	212	2	χlt(mk1,3	χlt(mk1,3	VERB
ejpam-5383	212	3	)	)	PUNCT
ejpam-5383	212	4	=	=	SYM
ejpam-5383	213	1	3m+	3m+	NUM
ejpam-5383	213	2	1	1	NUM
ejpam-5383	213	3	.	.	PUNCT
ejpam-5383	213	4	subcase	subcase	PROPN
ejpam-5383	213	5	2(b	2(b	NUM
ejpam-5383	213	6	):	):	PUNCT
ejpam-5383	213	7	n	n	X
ejpam-5383	213	8	≥	≥	NUM
ejpam-5383	213	9	5	5	NUM
ejpam-5383	213	10	is	be	AUX
ejpam-5383	213	11	odd	odd	ADJ
ejpam-5383	213	12	define	define	VERB
ejpam-5383	213	13	a	a	DET
ejpam-5383	213	14	labeling	labeling	NOUN
ejpam-5383	214	1	f	f	NOUN
ejpam-5383	214	2	:	:	PUNCT
ejpam-5383	214	3	v	v	X
ejpam-5383	214	4	(	(	PUNCT
ejpam-5383	214	5	mk1,n	mk1,n	NOUN
ejpam-5383	214	6	)	)	PUNCT
ejpam-5383	214	7	∪	∪	ADP
ejpam-5383	214	8	e(mk1,n	e(mk1,n	PROPN
ejpam-5383	214	9	)	)	PUNCT
ejpam-5383	214	10	→	→	SYM
ejpam-5383	214	11	{	{	PUNCT
ejpam-5383	214	12	1	1	NUM
ejpam-5383	214	13	,	,	PUNCT
ejpam-5383	214	14	2	2	NUM
ejpam-5383	214	15	,	,	PUNCT
ejpam-5383	214	16	3	3	NUM
ejpam-5383	214	17	,	,	PUNCT
ejpam-5383	214	18	...	...	PUNCT
ejpam-5383	214	19	,	,	PUNCT
ejpam-5383	214	20	2mn+m	2mn+m	NUM
ejpam-5383	214	21	}	}	PUNCT
ejpam-5383	214	22	by	by	ADP
ejpam-5383	214	23	f(uji	f(uji	NOUN
ejpam-5383	214	24	)	)	PUNCT
ejpam-5383	215	1	=	=	SYM
ejpam-5383	215	2	m(n−	m(n−	PROPN
ejpam-5383	215	3	j	j	NOUN
ejpam-5383	215	4	)	)	PUNCT
ejpam-5383	216	1	+	+	CCONJ
ejpam-5383	216	2	i	i	PRON
ejpam-5383	216	3	,	,	PUNCT
ejpam-5383	216	4	1	1	NUM
ejpam-5383	216	5	≤	≤	NUM
ejpam-5383	216	6	i	i	PRON
ejpam-5383	216	7	≤	≤	PROPN
ejpam-5383	216	8	n	n	CCONJ
ejpam-5383	216	9	,	,	PUNCT
ejpam-5383	216	10	1	1	NUM
ejpam-5383	216	11	≤	≤	NUM
ejpam-5383	216	12	j	j	PROPN
ejpam-5383	216	13	≤	≤	PROPN
ejpam-5383	216	14	m	m	PROPN
ejpam-5383	216	15	;	;	PUNCT
ejpam-5383	216	16	c	c	X
ejpam-5383	216	17	-	-	PUNCT
ejpam-5383	216	18	set	set	NOUN
ejpam-5383	216	19	is	be	AUX
ejpam-5383	216	20	given	give	VERB
ejpam-5383	216	21	in	in	ADP
ejpam-5383	216	22	table	table	NOUN
ejpam-5383	216	23	4	4	NUM
ejpam-5383	216	24	f(cj	f(cj	NUM
ejpam-5383	216	25	)	)	PUNCT
ejpam-5383	216	26	=	=	PUNCT
ejpam-5383	217	1			NOUN
ejpam-5383	217	2	mn+	mn+	NOUN
ejpam-5383	217	3	2j	2j	NOUN
ejpam-5383	217	4	,	,	PUNCT
ejpam-5383	217	5	if	if	SCONJ
ejpam-5383	217	6	m	m	PROPN
ejpam-5383	217	7	is	be	AUX
ejpam-5383	217	8	odd	odd	ADJ
ejpam-5383	217	9	and	and	CCONJ
ejpam-5383	217	10	1	1	NUM
ejpam-5383	217	11	≤	≤	NUM
ejpam-5383	217	12	j	j	PROPN
ejpam-5383	217	13	≤	≤	NUM
ejpam-5383	217	14	m	m	VERB
ejpam-5383	217	15	c	c	NOUN
ejpam-5383	217	16	-	-	PUNCT
ejpam-5383	217	17	set	set	VERB
ejpam-5383	217	18	is	be	AUX
ejpam-5383	217	19	{	{	PUNCT
ejpam-5383	217	20	mn+	mn+	NOUN
ejpam-5383	217	21	2	2	NUM
ejpam-5383	217	22	,	,	PUNCT
ejpam-5383	217	23	mn+	mn+	NOUN
ejpam-5383	217	24	4	4	NUM
ejpam-5383	217	25	,	,	PUNCT
ejpam-5383	217	26	...	...	PUNCT
ejpam-5383	217	27	,	,	PUNCT
ejpam-5383	217	28	mn+	mn+	NOUN
ejpam-5383	217	29	2	2	NUM
ejpam-5383	217	30	m	m	NOUN
ejpam-5383	217	31	}	}	PUNCT
ejpam-5383	217	32	mn−	mn−	PROPN
ejpam-5383	217	33	1	1	NUM
ejpam-5383	217	34	+	+	CCONJ
ejpam-5383	217	35	2j	2j	NUM
ejpam-5383	217	36	,	,	PUNCT
ejpam-5383	217	37	if	if	SCONJ
ejpam-5383	217	38	m	m	NOUN
ejpam-5383	217	39	is	be	AUX
ejpam-5383	217	40	even	even	ADV
ejpam-5383	217	41	and	and	CCONJ
ejpam-5383	217	42	1	1	NUM
ejpam-5383	217	43	≤	≤	NUM
ejpam-5383	217	44	j	j	PROPN
ejpam-5383	217	45	≤	≤	NUM
ejpam-5383	217	46	m	m	VERB
ejpam-5383	217	47	c	c	NOUN
ejpam-5383	217	48	-	-	PUNCT
ejpam-5383	217	49	set	set	VERB
ejpam-5383	217	50	is	be	AUX
ejpam-5383	217	51	{	{	PUNCT
ejpam-5383	217	52	mn+	mn+	NOUN
ejpam-5383	217	53	1	1	NUM
ejpam-5383	217	54	,	,	PUNCT
ejpam-5383	217	55	mn+	mn+	NOUN
ejpam-5383	217	56	3	3	NUM
ejpam-5383	217	57	,	,	PUNCT
ejpam-5383	217	58	...	...	PUNCT
ejpam-5383	217	59	,	,	PUNCT
ejpam-5383	217	60	mn+	mn+	NOUN
ejpam-5383	217	61	2m−	2m−	PROPN
ejpam-5383	217	62	1	1	NUM
ejpam-5383	217	63	}	}	PUNCT
ejpam-5383	217	64	f(cju	f(cju	NOUN
ejpam-5383	217	65	j	j	PROPN
ejpam-5383	217	66	i	i	PROPN
ejpam-5383	217	67	)	)	PUNCT
ejpam-5383	218	1	=	=	PUNCT
ejpam-5383	218	2			NUM
ejpam-5383	218	3	2m(n+	2m(n+	NUM
ejpam-5383	218	4	1	1	NUM
ejpam-5383	218	5	)	)	PUNCT
ejpam-5383	218	6	+	+	CCONJ
ejpam-5383	219	1	1−mi−	1−mi−	PROPN
ejpam-5383	219	2	j	j	NOUN
ejpam-5383	219	3	,	,	PUNCT
ejpam-5383	219	4	if	if	SCONJ
ejpam-5383	219	5	i	i	PRON
ejpam-5383	219	6	is	be	AUX
ejpam-5383	219	7	odd	odd	ADJ
ejpam-5383	219	8	,	,	PUNCT
ejpam-5383	219	9	1	1	NUM
ejpam-5383	219	10	≤	≤	NUM
ejpam-5383	219	11	i	i	PRON
ejpam-5383	219	12	≤	≤	ADJ
ejpam-5383	219	13	n−	n−	NOUN
ejpam-5383	219	14	2	2	NUM
ejpam-5383	219	15	and	and	CCONJ
ejpam-5383	219	16	1	1	NUM
ejpam-5383	219	17	≤	≤	NUM
ejpam-5383	219	18	j	j	PROPN
ejpam-5383	219	19	≤	≤	NUM
ejpam-5383	219	20	m	m	VERB
ejpam-5383	219	21	c	c	NOUN
ejpam-5383	219	22	-	-	PUNCT
ejpam-5383	219	23	set	set	NOUN
ejpam-5383	219	24	is	be	AUX
ejpam-5383	219	25	given	give	VERB
ejpam-5383	219	26	in	in	ADP
ejpam-5383	219	27	table	table	NOUN
ejpam-5383	219	28	5	5	NUM
ejpam-5383	219	29	m(2n+	m(2n+	NOUN
ejpam-5383	219	30	1)−mi+	1)−mi+	NUM
ejpam-5383	219	31	j	j	NOUN
ejpam-5383	219	32	,	,	PUNCT
ejpam-5383	219	33	if	if	SCONJ
ejpam-5383	219	34	i	i	PRON
ejpam-5383	219	35	is	be	AUX
ejpam-5383	219	36	even	even	ADV
ejpam-5383	219	37	,	,	PUNCT
ejpam-5383	219	38	1	1	NUM
ejpam-5383	219	39	≤	≤	NUM
ejpam-5383	220	1	i	i	PRON
ejpam-5383	220	2	≤	≤	ADJ
ejpam-5383	220	3	n−	n−	PROPN
ejpam-5383	220	4	3	3	NUM
ejpam-5383	220	5	,	,	PUNCT
ejpam-5383	220	6	and	and	CCONJ
ejpam-5383	220	7	1	1	NUM
ejpam-5383	220	8	≤	≤	NUM
ejpam-5383	220	9	j	j	PROPN
ejpam-5383	220	10	≤	≤	NUM
ejpam-5383	220	11	m	m	VERB
ejpam-5383	220	12	c	c	NOUN
ejpam-5383	220	13	-	-	PUNCT
ejpam-5383	220	14	set	set	NOUN
ejpam-5383	220	15	is	be	AUX
ejpam-5383	220	16	given	give	VERB
ejpam-5383	220	17	in	in	ADP
ejpam-5383	220	18	table	table	NOUN
ejpam-5383	220	19	6	6	NUM
ejpam-5383	220	20	m(n+	m(n+	NOUN
ejpam-5383	220	21	3	3	NUM
ejpam-5383	220	22	)	)	PUNCT
ejpam-5383	220	23	+	+	CCONJ
ejpam-5383	221	1	1−	1−	NUM
ejpam-5383	221	2	j	j	NOUN
ejpam-5383	221	3	,	,	PUNCT
ejpam-5383	221	4	if	if	SCONJ
ejpam-5383	221	5	i	i	PRON
ejpam-5383	221	6	=	=	VERB
ejpam-5383	221	7	n−	n−	NOUN
ejpam-5383	221	8	1	1	NUM
ejpam-5383	221	9	is	be	AUX
ejpam-5383	221	10	even	even	ADV
ejpam-5383	221	11	and	and	CCONJ
ejpam-5383	221	12	1	1	NUM
ejpam-5383	221	13	≤	≤	NUM
ejpam-5383	221	14	j	j	PROPN
ejpam-5383	221	15	≤	≤	NUM
ejpam-5383	221	16	m	m	VERB
ejpam-5383	221	17	mn−	mn−	NOUN
ejpam-5383	221	18	1	1	NUM
ejpam-5383	221	19	+	+	CCONJ
ejpam-5383	221	20	2j	2j	NUM
ejpam-5383	221	21	,	,	PUNCT
ejpam-5383	221	22	if	if	SCONJ
ejpam-5383	221	23	i	i	PRON
ejpam-5383	221	24	=	=	SYM
ejpam-5383	221	25	n	n	PROPN
ejpam-5383	221	26	and	and	CCONJ
ejpam-5383	221	27	m	m	PROPN
ejpam-5383	221	28	is	be	AUX
ejpam-5383	221	29	odd	odd	ADJ
ejpam-5383	221	30	,	,	PUNCT
ejpam-5383	221	31	1	1	NUM
ejpam-5383	221	32	≤	≤	NUM
ejpam-5383	221	33	j	j	PROPN
ejpam-5383	221	34	≤	≤	NUM
ejpam-5383	221	35	m	m	VERB
ejpam-5383	221	36	c	c	NOUN
ejpam-5383	221	37	-	-	PUNCT
ejpam-5383	221	38	set	set	VERB
ejpam-5383	221	39	is	be	AUX
ejpam-5383	221	40	{	{	PUNCT
ejpam-5383	221	41	mn+	mn+	NOUN
ejpam-5383	221	42	1	1	NUM
ejpam-5383	221	43	,	,	PUNCT
ejpam-5383	221	44	mn+	mn+	NOUN
ejpam-5383	221	45	3	3	NUM
ejpam-5383	221	46	,	,	PUNCT
ejpam-5383	221	47	...	...	PUNCT
ejpam-5383	221	48	,	,	PUNCT
ejpam-5383	221	49	mn+	mn+	NOUN
ejpam-5383	221	50	2m−	2m−	PROPN
ejpam-5383	221	51	1	1	NUM
ejpam-5383	221	52	}	}	PUNCT
ejpam-5383	221	53	mn+	mn+	NOUN
ejpam-5383	221	54	2j	2j	NOUN
ejpam-5383	221	55	,	,	PUNCT
ejpam-5383	221	56	if	if	SCONJ
ejpam-5383	221	57	i	i	PRON
ejpam-5383	221	58	=	=	SYM
ejpam-5383	221	59	n	n	PROPN
ejpam-5383	221	60	and	and	CCONJ
ejpam-5383	221	61	m	m	VERB
ejpam-5383	221	62	is	be	AUX
ejpam-5383	221	63	even	even	ADV
ejpam-5383	221	64	,	,	PUNCT
ejpam-5383	221	65	1	1	NUM
ejpam-5383	221	66	≤	≤	NUM
ejpam-5383	221	67	j	j	PROPN
ejpam-5383	221	68	≤	≤	NUM
ejpam-5383	221	69	m	m	VERB
ejpam-5383	221	70	c	c	NOUN
ejpam-5383	221	71	-	-	PUNCT
ejpam-5383	221	72	set	set	VERB
ejpam-5383	221	73	is	be	AUX
ejpam-5383	221	74	{	{	PUNCT
ejpam-5383	221	75	mn+	mn+	NOUN
ejpam-5383	221	76	2	2	NUM
ejpam-5383	221	77	,	,	PUNCT
ejpam-5383	221	78	mn+	mn+	NOUN
ejpam-5383	221	79	4	4	NUM
ejpam-5383	221	80	,	,	PUNCT
ejpam-5383	221	81	...	...	PUNCT
ejpam-5383	221	82	,	,	PUNCT
ejpam-5383	221	83	mn+	mn+	NOUN
ejpam-5383	221	84	2	2	NUM
ejpam-5383	221	85	m	m	NOUN
ejpam-5383	221	86	}	}	PUNCT
ejpam-5383	221	87	the	the	PRON
ejpam-5383	221	88	above	above	ADJ
ejpam-5383	221	89	labeling	labeling	NOUN
ejpam-5383	221	90	f	f	PROPN
ejpam-5383	221	91	is	be	AUX
ejpam-5383	221	92	given	give	VERB
ejpam-5383	221	93	in	in	ADP
ejpam-5383	221	94	tables	table	NOUN
ejpam-5383	221	95	4	4	NUM
ejpam-5383	221	96	,	,	PUNCT
ejpam-5383	221	97	5	5	NUM
ejpam-5383	221	98	and	and	CCONJ
ejpam-5383	221	99	6	6	NUM
ejpam-5383	221	100	for	for	ADP
ejpam-5383	221	101	easy	easy	ADJ
ejpam-5383	221	102	reading	reading	NOUN
ejpam-5383	221	103	.	.	PUNCT
ejpam-5383	222	1	then	then	ADV
ejpam-5383	222	2	the	the	DET
ejpam-5383	222	3	vertex	vertex	NOUN
ejpam-5383	222	4	and	and	CCONJ
ejpam-5383	222	5	edge	edge	NOUN
ejpam-5383	222	6	weights	weight	NOUN
ejpam-5383	222	7	are	be	AUX
ejpam-5383	222	8	w(uji	w(uji	PUNCT
ejpam-5383	222	9	)	)	PUNCT
ejpam-5383	223	1	=	=	SYM
ejpam-5383	223	2	f(cju	f(cju	X
ejpam-5383	223	3	j	j	PROPN
ejpam-5383	223	4	i	i	PROPN
ejpam-5383	223	5	)	)	PUNCT
ejpam-5383	223	6	,	,	PUNCT
ejpam-5383	223	7	1	1	NUM
ejpam-5383	223	8	≤	≤	NUM
ejpam-5383	223	9	i	i	PRON
ejpam-5383	223	10	≤	≤	ADJ
ejpam-5383	223	11	n	n	CCONJ
ejpam-5383	223	12	and	and	CCONJ
ejpam-5383	223	13	1	1	NUM
ejpam-5383	223	14	≤	≤	NUM
ejpam-5383	223	15	j	j	PROPN
ejpam-5383	223	16	≤	≤	PROPN
ejpam-5383	223	17	m	m	VERB
ejpam-5383	223	18	w(cj	w(cj	PROPN
ejpam-5383	223	19	)	)	PUNCT
ejpam-5383	223	20	=	=	PRON
ejpam-5383	223	21	{	{	PUNCT
ejpam-5383	224	1	3mn2	3mn2	NUM
ejpam-5383	224	2	+	+	NOUN
ejpam-5383	224	3	2mn−m+n−1	2mn−m+n−1	NUM
ejpam-5383	224	4	2	2	NUM
ejpam-5383	224	5	=	=	SYM
ejpam-5383	224	6	2mn+m+	2mn+m+	NOUN
ejpam-5383	224	7	m[(3n−2)n−3]+(n−1	m[(3n−2)n−3]+(n−1	ADJ
ejpam-5383	224	8	)	)	PUNCT
ejpam-5383	224	9	2	2	NUM
ejpam-5383	224	10	,	,	PUNCT
ejpam-5383	224	11	if	if	SCONJ
ejpam-5383	224	12	m	m	PROPN
ejpam-5383	224	13	is	be	AUX
ejpam-5383	224	14	odd	odd	ADJ
ejpam-5383	224	15	,	,	PUNCT
ejpam-5383	224	16	1	1	NUM
ejpam-5383	224	17	≤	≤	NUM
ejpam-5383	224	18	j	j	PROPN
ejpam-5383	225	1	≤	≤	ADV
ejpam-5383	225	2	m	m	VERB
ejpam-5383	225	3	3mn2	3mn2	NUM
ejpam-5383	225	4	+	+	NOUN
ejpam-5383	225	5	2mn−m+n+1	2mn−m+n+1	NUM
ejpam-5383	225	6	2	2	NUM
ejpam-5383	225	7	=	=	SYM
ejpam-5383	225	8	2mn+m+	2mn+m+	NUM
ejpam-5383	225	9	m[(3n−2)n−3]+(n+1	m[(3n−2)n−3]+(n+1	NOUN
ejpam-5383	225	10	)	)	PUNCT
ejpam-5383	225	11	2	2	NUM
ejpam-5383	225	12	,	,	PUNCT
ejpam-5383	225	13	if	if	SCONJ
ejpam-5383	225	14	m	m	NOUN
ejpam-5383	225	15	is	be	AUX
ejpam-5383	225	16	even	even	ADV
ejpam-5383	225	17	,	,	PUNCT
ejpam-5383	225	18	1	1	NUM
ejpam-5383	225	19	≤	≤	NUM
ejpam-5383	225	20	j	j	PROPN
ejpam-5383	225	21	≤	≤	NUM
ejpam-5383	225	22	m	m	VERB
ejpam-5383	225	23	w(cju	w(cju	PROPN
ejpam-5383	225	24	j	j	PROPN
ejpam-5383	226	1	i	i	PROPN
ejpam-5383	226	2	)	)	PUNCT
ejpam-5383	227	1	=	=	PUNCT
ejpam-5383	227	2			PROPN
ejpam-5383	228	1	2mn+	2mn+	NOUN
ejpam-5383	228	2	i+	i+	PRON
ejpam-5383	228	3	2j	2j	PROPN
ejpam-5383	229	1	−	−	PROPN
ejpam-5383	229	2	nj	nj	PROPN
ejpam-5383	229	3	,	,	PUNCT
ejpam-5383	229	4	if	if	SCONJ
ejpam-5383	229	5	m	m	PROPN
ejpam-5383	229	6	is	be	AUX
ejpam-5383	229	7	odd	odd	ADJ
ejpam-5383	229	8	,	,	PUNCT
ejpam-5383	229	9	1	1	NUM
ejpam-5383	229	10	≤	≤	NUM
ejpam-5383	229	11	j	j	PROPN
ejpam-5383	229	12	≤	≤	NUM
ejpam-5383	229	13	m	m	PROPN
ejpam-5383	229	14	and	and	CCONJ
ejpam-5383	229	15	1	1	NUM
ejpam-5383	229	16	≤	≤	NUM
ejpam-5383	229	17	i	i	PRON
ejpam-5383	229	18	≤	≤	NOUN
ejpam-5383	229	19	n	n	PRON
ejpam-5383	229	20	c	c	NOUN
ejpam-5383	229	21	-	-	PUNCT
ejpam-5383	229	22	set	set	NOUN
ejpam-5383	229	23	is	be	AUX
ejpam-5383	229	24	given	give	VERB
ejpam-5383	229	25	in	in	ADP
ejpam-5383	229	26	table	table	NOUN
ejpam-5383	229	27	7	7	NUM
ejpam-5383	229	28	2mn−	2mn−	NUM
ejpam-5383	229	29	1	1	NUM
ejpam-5383	229	30	+	+	CCONJ
ejpam-5383	229	31	i+	i+	NOUN
ejpam-5383	229	32	2j	2j	PROPN
ejpam-5383	229	33	−	−	PROPN
ejpam-5383	229	34	nj	nj	PROPN
ejpam-5383	229	35	,	,	PUNCT
ejpam-5383	229	36	if	if	SCONJ
ejpam-5383	229	37	m	m	NOUN
ejpam-5383	229	38	is	be	AUX
ejpam-5383	229	39	even	even	ADV
ejpam-5383	229	40	,	,	PUNCT
ejpam-5383	229	41	1	1	NUM
ejpam-5383	229	42	≤	≤	NUM
ejpam-5383	229	43	j	j	PROPN
ejpam-5383	229	44	≤	≤	NUM
ejpam-5383	229	45	m	m	PROPN
ejpam-5383	229	46	and	and	CCONJ
ejpam-5383	229	47	1	1	NUM
ejpam-5383	229	48	≤	≤	NUM
ejpam-5383	229	49	i	i	PRON
ejpam-5383	229	50	≤	≤	NOUN
ejpam-5383	229	51	n	n	PRON
ejpam-5383	229	52	c	c	NOUN
ejpam-5383	229	53	-	-	PUNCT
ejpam-5383	229	54	set	set	NOUN
ejpam-5383	229	55	is	be	AUX
ejpam-5383	229	56	given	give	VERB
ejpam-5383	229	57	in	in	ADP
ejpam-5383	229	58	table	table	NOUN
ejpam-5383	229	59	8	8	NUM
ejpam-5383	229	60	v.	v.	ADP
ejpam-5383	229	61	sandhiya	sandhiya	PROPN
ejpam-5383	229	62	,	,	PUNCT
ejpam-5383	229	63	m.	m.	NOUN
ejpam-5383	229	64	nalliah	nalliah	PROPN
ejpam-5383	229	65	/	/	SYM
ejpam-5383	229	66	eur	eur	PROPN
ejpam-5383	229	67	.	.	PUNCT
ejpam-5383	230	1	j.	j.	PROPN
ejpam-5383	230	2	pure	pure	PROPN
ejpam-5383	230	3	appl	appl	PROPN
ejpam-5383	230	4	.	.	PROPN
ejpam-5383	230	5	math	math	PROPN
ejpam-5383	230	6	,	,	PUNCT
ejpam-5383	230	7	17	17	NUM
ejpam-5383	230	8	(	(	PUNCT
ejpam-5383	230	9	4	4	NUM
ejpam-5383	230	10	)	)	PUNCT
ejpam-5383	230	11	(	(	PUNCT
ejpam-5383	230	12	2024	2024	NUM
ejpam-5383	230	13	)	)	PUNCT
ejpam-5383	230	14	,	,	PUNCT
ejpam-5383	230	15	2828	2828	NUM
ejpam-5383	230	16	-	-	SYM
ejpam-5383	230	17	2842	2842	NUM
ejpam-5383	230	18	2836	2836	NUM
ejpam-5383	230	19	table	table	NOUN
ejpam-5383	230	20	4	4	NUM
ejpam-5383	230	21	:	:	PUNCT
ejpam-5383	230	22	labels	label	NOUN
ejpam-5383	230	23	for	for	ADP
ejpam-5383	230	24	the	the	DET
ejpam-5383	230	25	pendant	pendant	ADJ
ejpam-5383	230	26	vertices	vertex	NOUN
ejpam-5383	230	27	uj	uj	PROPN
ejpam-5383	230	28	i	i	PROPN
ejpam-5383	230	29	of	of	ADP
ejpam-5383	230	30	mk1,n	mk1,n	PROPN
ejpam-5383	230	31	,	,	PUNCT
ejpam-5383	230	32	where	where	SCONJ
ejpam-5383	230	33	n	n	PRON
ejpam-5383	230	34	is	be	AUX
ejpam-5383	230	35	odd	odd	ADJ
ejpam-5383	230	36	and	and	CCONJ
ejpam-5383	230	37	m	m	VERB
ejpam-5383	230	38	>	>	X
ejpam-5383	230	39	1	1	NUM
ejpam-5383	231	1	i	i	PRON
ejpam-5383	231	2	u1i	u1i	PROPN
ejpam-5383	231	3	u2i	u2i	X
ejpam-5383	231	4	u3i	u3i	X
ejpam-5383	231	5	...	...	PUNCT
ejpam-5383	232	1	um−1	um−1	NOUN
ejpam-5383	233	1	i	i	PRON
ejpam-5383	233	2	umi	umi	PROPN
ejpam-5383	233	3	1	1	NUM
ejpam-5383	233	4	(	(	PUNCT
ejpam-5383	233	5	m-1)n+1	m-1)n+1	X
ejpam-5383	233	6	(	(	PUNCT
ejpam-5383	233	7	m-2)n+1	m-2)n+1	NOUN
ejpam-5383	233	8	(	(	PUNCT
ejpam-5383	233	9	m-3)n+1	m-3)n+1	ADP
ejpam-5383	233	10	...	...	PUNCT
ejpam-5383	234	1	n+1	n+1	NUM
ejpam-5383	234	2	1	1	NUM
ejpam-5383	234	3	2	2	NUM
ejpam-5383	234	4	(	(	PUNCT
ejpam-5383	234	5	m-1)n+2	m-1)n+2	NOUN
ejpam-5383	234	6	(	(	PUNCT
ejpam-5383	234	7	m-2)n+2	m-2)n+2	NOUN
ejpam-5383	234	8	(	(	PUNCT
ejpam-5383	234	9	m-3)n+2	m-3)n+2	NOUN
ejpam-5383	234	10	...	...	PUNCT
ejpam-5383	234	11	n+2	n+2	NUM
ejpam-5383	234	12	2	2	NUM
ejpam-5383	234	13	...	...	PUNCT
ejpam-5383	234	14	...	...	PUNCT
ejpam-5383	234	15	...	...	PUNCT
ejpam-5383	234	16	...	...	PUNCT
ejpam-5383	234	17	...	...	PUNCT
ejpam-5383	234	18	...	...	PUNCT
ejpam-5383	234	19	...	...	PUNCT
ejpam-5383	234	20	...	...	PUNCT
ejpam-5383	234	21	...	...	PUNCT
ejpam-5383	234	22	...	...	PUNCT
ejpam-5383	234	23	...	...	PUNCT
ejpam-5383	234	24	...	...	PUNCT
ejpam-5383	234	25	...	...	PUNCT
ejpam-5383	234	26	...	...	PUNCT
ejpam-5383	235	1	n-1	n-1	PROPN
ejpam-5383	235	2	mn-1	mn-1	NOUN
ejpam-5383	235	3	(	(	PUNCT
ejpam-5383	235	4	m-1)n-1	m-1)n-1	X
ejpam-5383	235	5	(	(	PUNCT
ejpam-5383	235	6	m-2)n-1	m-2)n-1	X
ejpam-5383	235	7	...	...	PUNCT
ejpam-5383	235	8	2n-1	2n-1	NUM
ejpam-5383	235	9	n-1	n-1	NOUN
ejpam-5383	235	10	n	n	PROPN
ejpam-5383	235	11	mn	mn	PROPN
ejpam-5383	235	12	(	(	PUNCT
ejpam-5383	235	13	m-1)n	m-1)n	PROPN
ejpam-5383	235	14	(	(	PUNCT
ejpam-5383	235	15	m-2)n	m-2)n	PROPN
ejpam-5383	235	16	...	...	PUNCT
ejpam-5383	235	17	2n	2n	NUM
ejpam-5383	235	18	n	n	PRON
ejpam-5383	235	19	table	table	NOUN
ejpam-5383	235	20	5	5	NUM
ejpam-5383	235	21	:	:	PUNCT
ejpam-5383	235	22	labels	label	NOUN
ejpam-5383	235	23	for	for	ADP
ejpam-5383	235	24	the	the	DET
ejpam-5383	235	25	pendant	pendant	ADJ
ejpam-5383	235	26	edges	edge	NOUN
ejpam-5383	235	27	cju	cju	VERB
ejpam-5383	236	1	j	j	PROPN
ejpam-5383	236	2	i	i	PROPN
ejpam-5383	236	3	of	of	ADP
ejpam-5383	236	4	mk1,n	mk1,n	PROPN
ejpam-5383	236	5	,	,	PUNCT
ejpam-5383	236	6	where	where	SCONJ
ejpam-5383	236	7	n	n	PRON
ejpam-5383	236	8	is	be	AUX
ejpam-5383	236	9	odd	odd	ADJ
ejpam-5383	236	10	and	and	CCONJ
ejpam-5383	236	11	i	i	PRON
ejpam-5383	236	12	is	be	AUX
ejpam-5383	236	13	odd	odd	ADJ
ejpam-5383	236	14	i	i	PRON
ejpam-5383	236	15	c1u	c1u	PROPN
ejpam-5383	236	16	1	1	NUM
ejpam-5383	236	17	i	i	PRON
ejpam-5383	236	18	c2u	c2u	VERB
ejpam-5383	236	19	2	2	NUM
ejpam-5383	237	1	i	i	PRON
ejpam-5383	237	2	c3u	c3u	VERB
ejpam-5383	237	3	3	3	NUM
ejpam-5383	238	1	i	i	PRON
ejpam-5383	238	2	...	...	PUNCT
ejpam-5383	239	1	cm−1u	cm−1u	NUM
ejpam-5383	239	2	m−1	m−1	PROPN
ejpam-5383	239	3	i	i	PRON
ejpam-5383	239	4	cmumi	cmumi	VERB
ejpam-5383	239	5	1	1	NUM
ejpam-5383	239	6	2mn+m	2mn+m	NUM
ejpam-5383	239	7	2mn+m-1	2mn+m-1	NUM
ejpam-5383	239	8	2mn+m-2	2mn+m-2	NUM
ejpam-5383	239	9	...	...	PUNCT
ejpam-5383	240	1	2mn+2	2mn+2	NOUN
ejpam-5383	240	2	2mn+1	2mn+1	NUM
ejpam-5383	240	3	3	3	NUM
ejpam-5383	240	4	2mn	2mn	X
ejpam-5383	240	5	-	-	PUNCT
ejpam-5383	240	6	m	m	PROPN
ejpam-5383	240	7	2mn	2mn	PROPN
ejpam-5383	240	8	-	-	PUNCT
ejpam-5383	240	9	m-1	m-1	PROPN
ejpam-5383	240	10	2mn	2mn	PROPN
ejpam-5383	240	11	-	-	PUNCT
ejpam-5383	240	12	m-2	m-2	NOUN
ejpam-5383	240	13	...	...	PUNCT
ejpam-5383	241	1	2mn-2m+2	2mn-2m+2	NUM
ejpam-5383	241	2	2mn-2m+1	2mn-2m+1	NUM
ejpam-5383	241	3	...	...	PUNCT
ejpam-5383	241	4	...	...	PUNCT
ejpam-5383	241	5	...	...	PUNCT
ejpam-5383	241	6	...	...	PUNCT
ejpam-5383	241	7	...	...	PUNCT
ejpam-5383	241	8	...	...	PUNCT
ejpam-5383	241	9	...	...	PUNCT
ejpam-5383	241	10	...	...	PUNCT
ejpam-5383	241	11	...	...	PUNCT
ejpam-5383	241	12	...	...	PUNCT
ejpam-5383	241	13	...	...	PUNCT
ejpam-5383	241	14	...	...	PUNCT
ejpam-5383	241	15	...	...	PUNCT
ejpam-5383	241	16	...	...	PUNCT
ejpam-5383	242	1	n-4	n-4	PROPN
ejpam-5383	242	2	mn+6	mn+6	PROPN
ejpam-5383	242	3	m	m	PROPN
ejpam-5383	242	4	mn+6m-1	mn+6m-1	PROPN
ejpam-5383	242	5	mn+6m-2	mn+6m-2	PROPN
ejpam-5383	242	6	...	...	PUNCT
ejpam-5383	243	1	mn+5m+2	mn+5m+2	PROPN
ejpam-5383	243	2	mn+5m+1	mn+5m+1	PROPN
ejpam-5383	243	3	n-2	n-2	PROPN
ejpam-5383	243	4	mn+4	mn+4	PROPN
ejpam-5383	243	5	m	m	PROPN
ejpam-5383	243	6	mn+4m-1	mn+4m-1	PROPN
ejpam-5383	243	7	mn+4m-2	mn+4m-2	PROPN
ejpam-5383	243	8	...	...	PUNCT
ejpam-5383	244	1	mn+3m+2	mn+3m+2	NOUN
ejpam-5383	244	2	mn+3m+1	mn+3m+1	ADJ
ejpam-5383	244	3	the	the	DET
ejpam-5383	244	4	above	above	ADJ
ejpam-5383	244	5	weights	weight	NOUN
ejpam-5383	244	6	are	be	AUX
ejpam-5383	244	7	given	give	VERB
ejpam-5383	244	8	in	in	ADP
ejpam-5383	244	9	tables	table	NOUN
ejpam-5383	244	10	7	7	NUM
ejpam-5383	244	11	and	and	CCONJ
ejpam-5383	244	12	8	8	NUM
ejpam-5383	244	13	for	for	ADP
ejpam-5383	244	14	easy	easy	ADJ
ejpam-5383	244	15	reading	reading	NOUN
ejpam-5383	244	16	.	.	PUNCT
ejpam-5383	245	1	for	for	ADP
ejpam-5383	245	2	m	m	PROPN
ejpam-5383	245	3	is	be	AUX
ejpam-5383	245	4	odd	odd	ADJ
ejpam-5383	245	5	,	,	PUNCT
ejpam-5383	245	6	the	the	DET
ejpam-5383	245	7	union	union	NOUN
ejpam-5383	245	8	of	of	ADP
ejpam-5383	245	9	all	all	DET
ejpam-5383	245	10	distinct	distinct	ADJ
ejpam-5383	245	11	weights	weight	NOUN
ejpam-5383	245	12	of	of	ADP
ejpam-5383	245	13	a	a	DET
ejpam-5383	245	14	set	set	NOUN
ejpam-5383	245	15	codd	codd	NOUN
ejpam-5383	245	16	is	be	AUX
ejpam-5383	245	17	given	give	VERB
ejpam-5383	245	18	as	as	SCONJ
ejpam-5383	245	19	follows	follow	VERB
ejpam-5383	245	20	:	:	PUNCT
ejpam-5383	245	21	codd	codd	NOUN
ejpam-5383	245	22	=	=	PRON
ejpam-5383	245	23	{	{	PUNCT
ejpam-5383	245	24	w(uji	w(uji	CCONJ
ejpam-5383	245	25	)	)	PUNCT
ejpam-5383	245	26	∪	∪	ADP
ejpam-5383	245	27	w(cj	w(cj	NUM
ejpam-5383	245	28	)	)	PUNCT
ejpam-5383	245	29	∪	∪	ADP
ejpam-5383	245	30	w(cju	w(cju	PROPN
ejpam-5383	245	31	j	j	PROPN
ejpam-5383	245	32	i	i	PROPN
ejpam-5383	245	33	)	)	PUNCT
ejpam-5383	245	34	,	,	PUNCT
ejpam-5383	245	35	1	1	NUM
ejpam-5383	245	36	≤	≤	NUM
ejpam-5383	245	37	j	j	PROPN
ejpam-5383	245	38	≤	≤	NUM
ejpam-5383	245	39	m	m	PROPN
ejpam-5383	245	40	and	and	CCONJ
ejpam-5383	245	41	1	1	NUM
ejpam-5383	245	42	≤	≤	NUM
ejpam-5383	245	43	i	i	PRON
ejpam-5383	245	44	≤	≤	NOUN
ejpam-5383	245	45	n	n	CCONJ
ejpam-5383	245	46	}	}	PUNCT
ejpam-5383	245	47	=[	=[	NOUN
ejpam-5383	245	48	mn+	mn+	NOUN
ejpam-5383	245	49	2m+	2m+	NUM
ejpam-5383	245	50	1	1	NUM
ejpam-5383	245	51	,	,	PUNCT
ejpam-5383	245	52	2mn+m	2mn+m	NUM
ejpam-5383	245	53	]	]	X
ejpam-5383	245	54	∪	∪	X
ejpam-5383	245	55	{	{	PUNCT
ejpam-5383	245	56	mn+	mn+	NOUN
ejpam-5383	245	57	1,mn+	1,mn+	NOUN
ejpam-5383	245	58	3	3	NUM
ejpam-5383	245	59	,	,	PUNCT
ejpam-5383	245	60	...	...	PUNCT
ejpam-5383	245	61	,	,	PUNCT
ejpam-5383	245	62	mn+	mn+	NOUN
ejpam-5383	245	63	2m−	2m−	PROPN
ejpam-5383	245	64	1	1	NUM
ejpam-5383	245	65	}	}	PUNCT
ejpam-5383	245	66	∪	∪	ADJ
ejpam-5383	245	67	{	{	PUNCT
ejpam-5383	245	68	2mn+m+	2mn+m+	NUM
ejpam-5383	245	69	m[(3n−	m[(3n−	NOUN
ejpam-5383	245	70	2)n−	2)n−	PROPN
ejpam-5383	245	71	3	3	NUM
ejpam-5383	245	72	]	]	X
ejpam-5383	245	73	+	+	CCONJ
ejpam-5383	245	74	(	(	PUNCT
ejpam-5383	245	75	n−	n−	NOUN
ejpam-5383	245	76	1	1	NUM
ejpam-5383	245	77	)	)	PUNCT
ejpam-5383	245	78	2	2	NUM
ejpam-5383	245	79	}	}	PUNCT
ejpam-5383	245	80	∪	∪	VERB
ejpam-5383	245	81	[	[	X
ejpam-5383	245	82	mn+	mn+	NOUN
ejpam-5383	245	83	2m+	2m+	NUM
ejpam-5383	245	84	1	1	NUM
ejpam-5383	245	85	,	,	PUNCT
ejpam-5383	245	86	2mn+	2mn+	NUM
ejpam-5383	245	87	2	2	NUM
ejpam-5383	245	88	]	]	PUNCT
ejpam-5383	245	89	=	=	NOUN
ejpam-5383	245	90	[	[	X
ejpam-5383	245	91	mn+	mn+	NOUN
ejpam-5383	245	92	2m+	2m+	NUM
ejpam-5383	245	93	1	1	NUM
ejpam-5383	245	94	,	,	PUNCT
ejpam-5383	245	95	2mn+m	2mn+m	NUM
ejpam-5383	245	96	]	]	X
ejpam-5383	245	97	∪	∪	X
ejpam-5383	245	98	{	{	PUNCT
ejpam-5383	245	99	mn+	mn+	NOUN
ejpam-5383	245	100	1,mn+	1,mn+	NOUN
ejpam-5383	245	101	3	3	NUM
ejpam-5383	245	102	,	,	PUNCT
ejpam-5383	245	103	...	...	PUNCT
ejpam-5383	245	104	,	,	PUNCT
ejpam-5383	245	105	mn+	mn+	NOUN
ejpam-5383	245	106	2m−	2m−	PROPN
ejpam-5383	245	107	1	1	NUM
ejpam-5383	245	108	}	}	PUNCT
ejpam-5383	245	109	∪	∪	ADJ
ejpam-5383	245	110	{	{	PUNCT
ejpam-5383	245	111	2mn+m+	2mn+m+	NUM
ejpam-5383	245	112	m[(3n−	m[(3n−	NOUN
ejpam-5383	245	113	2)n−	2)n−	PROPN
ejpam-5383	245	114	3	3	NUM
ejpam-5383	245	115	]	]	X
ejpam-5383	245	116	+	+	CCONJ
ejpam-5383	245	117	(	(	PUNCT
ejpam-5383	245	118	n−	n−	NOUN
ejpam-5383	245	119	1	1	NUM
ejpam-5383	245	120	)	)	PUNCT
ejpam-5383	245	121	2	2	NUM
ejpam-5383	245	122	}	}	PUNCT
ejpam-5383	245	123	|codd|	|codd|	NOUN
ejpam-5383	245	124	=	=	NOUN
ejpam-5383	245	125	m(n−	m(n−	NOUN
ejpam-5383	245	126	1	1	NUM
ejpam-5383	245	127	)	)	PUNCT
ejpam-5383	246	1	+	+	NOUN
ejpam-5383	246	2	m+	m+	NUM
ejpam-5383	246	3	1	1	NUM
ejpam-5383	246	4	=	=	NOUN
ejpam-5383	246	5	mn+	mn+	NOUN
ejpam-5383	246	6	1	1	NUM
ejpam-5383	246	7	table	table	NOUN
ejpam-5383	246	8	6	6	NUM
ejpam-5383	246	9	:	:	PUNCT
ejpam-5383	246	10	labels	label	NOUN
ejpam-5383	246	11	for	for	ADP
ejpam-5383	246	12	the	the	DET
ejpam-5383	246	13	pendant	pendant	ADJ
ejpam-5383	246	14	edges	edge	NOUN
ejpam-5383	246	15	cju	cju	VERB
ejpam-5383	246	16	j	j	PROPN
ejpam-5383	246	17	i	i	PROPN
ejpam-5383	246	18	of	of	ADP
ejpam-5383	246	19	mk1,n	mk1,n	PROPN
ejpam-5383	246	20	,	,	PUNCT
ejpam-5383	246	21	where	where	SCONJ
ejpam-5383	246	22	n	n	PRON
ejpam-5383	246	23	is	be	AUX
ejpam-5383	246	24	odd	odd	ADJ
ejpam-5383	246	25	and	and	CCONJ
ejpam-5383	246	26	i	i	PRON
ejpam-5383	246	27	is	be	AUX
ejpam-5383	246	28	even	even	ADV
ejpam-5383	246	29	i	i	PRON
ejpam-5383	246	30	c1u	c1u	PROPN
ejpam-5383	246	31	1	1	NUM
ejpam-5383	246	32	i	i	PRON
ejpam-5383	246	33	c2u	c2u	VERB
ejpam-5383	246	34	2	2	NUM
ejpam-5383	247	1	i	i	PRON
ejpam-5383	247	2	c3u	c3u	VERB
ejpam-5383	247	3	3	3	NUM
ejpam-5383	248	1	i	i	PRON
ejpam-5383	248	2	...	...	PUNCT
ejpam-5383	249	1	cm−1u	cm−1u	NUM
ejpam-5383	249	2	m−1	m−1	PROPN
ejpam-5383	249	3	i	i	PRON
ejpam-5383	249	4	cmumi	cmumi	VERB
ejpam-5383	249	5	2	2	NUM
ejpam-5383	249	6	2mn	2mn	X
ejpam-5383	249	7	-	-	PUNCT
ejpam-5383	249	8	m+1	m+1	NUM
ejpam-5383	249	9	2mn	2mn	PROPN
ejpam-5383	249	10	-	-	PUNCT
ejpam-5383	249	11	m+2	m+2	NOUN
ejpam-5383	249	12	2mn	2mn	PROPN
ejpam-5383	249	13	-	-	PUNCT
ejpam-5383	249	14	m+3	m+3	PROPN
ejpam-5383	249	15	...	...	PUNCT
ejpam-5383	250	1	2mn-1	2mn-1	NUM
ejpam-5383	250	2	2mn	2mn	NOUN
ejpam-5383	250	3	4	4	NUM
ejpam-5383	250	4	2mn-3m+1	2mn-3m+1	PROPN
ejpam-5383	250	5	2mn-3m+2	2mn-3m+2	PROPN
ejpam-5383	250	6	2mn-3m+3	2mn-3m+3	NUM
ejpam-5383	250	7	...	...	PUNCT
ejpam-5383	250	8	2mn-2m-1	2mn-2m-1	NUM
ejpam-5383	250	9	2mn-2	2mn-2	NUM
ejpam-5383	250	10	m	m	NOUN
ejpam-5383	250	11	...	...	PUNCT
ejpam-5383	250	12	...	...	PUNCT
ejpam-5383	250	13	...	...	PUNCT
ejpam-5383	250	14	...	...	PUNCT
ejpam-5383	250	15	...	...	PUNCT
ejpam-5383	250	16	...	...	PUNCT
ejpam-5383	250	17	...	...	PUNCT
ejpam-5383	250	18	...	...	PUNCT
ejpam-5383	250	19	...	...	PUNCT
ejpam-5383	250	20	...	...	PUNCT
ejpam-5383	250	21	...	...	PUNCT
ejpam-5383	250	22	...	...	PUNCT
ejpam-5383	250	23	...	...	PUNCT
ejpam-5383	250	24	...	...	PUNCT
ejpam-5383	250	25	n-3	n-3	ADJ
ejpam-5383	250	26	mn+4m+1	mn+4m+1	PROPN
ejpam-5383	250	27	mn+4m+2	mn+4m+2	PROPN
ejpam-5383	250	28	mn+4m+3	mn+4m+3	PROPN
ejpam-5383	250	29	...	...	PUNCT
ejpam-5383	251	1	mn+5m-1	mn+5m-1	PROPN
ejpam-5383	251	2	mn+5	mn+5	NOUN
ejpam-5383	251	3	m	m	VERB
ejpam-5383	251	4	n-1	n-1	NOUN
ejpam-5383	252	1	mn+3	mn+3	NOUN
ejpam-5383	252	2	m	m	VERB
ejpam-5383	252	3	mn+3m-1	mn+3m-1	PROPN
ejpam-5383	252	4	mn+3m-2	mn+3m-2	PROPN
ejpam-5383	252	5	...	...	PUNCT
ejpam-5383	253	1	mn+2m+2	mn+2m+2	PROPN
ejpam-5383	253	2	mn+2m+1	mn+2m+1	PROPN
ejpam-5383	253	3	v.	v.	ADP
ejpam-5383	253	4	sandhiya	sandhiya	PROPN
ejpam-5383	253	5	,	,	PUNCT
ejpam-5383	253	6	m.	m.	NOUN
ejpam-5383	253	7	nalliah	nalliah	PROPN
ejpam-5383	253	8	/	/	SYM
ejpam-5383	253	9	eur	eur	PROPN
ejpam-5383	253	10	.	.	PUNCT
ejpam-5383	254	1	j.	j.	PROPN
ejpam-5383	254	2	pure	pure	PROPN
ejpam-5383	254	3	appl	appl	PROPN
ejpam-5383	254	4	.	.	PROPN
ejpam-5383	254	5	math	math	PROPN
ejpam-5383	254	6	,	,	PUNCT
ejpam-5383	254	7	17	17	NUM
ejpam-5383	254	8	(	(	PUNCT
ejpam-5383	254	9	4	4	NUM
ejpam-5383	254	10	)	)	PUNCT
ejpam-5383	254	11	(	(	PUNCT
ejpam-5383	254	12	2024	2024	NUM
ejpam-5383	254	13	)	)	PUNCT
ejpam-5383	254	14	,	,	PUNCT
ejpam-5383	254	15	2828	2828	NUM
ejpam-5383	254	16	-	-	SYM
ejpam-5383	254	17	2842	2842	NUM
ejpam-5383	254	18	2837	2837	NUM
ejpam-5383	254	19	table	table	NOUN
ejpam-5383	254	20	7	7	NUM
ejpam-5383	254	21	:	:	PUNCT
ejpam-5383	254	22	weights	weight	NOUN
ejpam-5383	254	23	for	for	ADP
ejpam-5383	254	24	the	the	DET
ejpam-5383	254	25	pendant	pendant	ADJ
ejpam-5383	254	26	edges	edge	NOUN
ejpam-5383	254	27	cju	cju	VERB
ejpam-5383	255	1	j	j	PROPN
ejpam-5383	255	2	i	i	PROPN
ejpam-5383	255	3	of	of	ADP
ejpam-5383	255	4	mk1,n	mk1,n	PROPN
ejpam-5383	255	5	,	,	PUNCT
ejpam-5383	255	6	where	where	SCONJ
ejpam-5383	255	7	n	n	PRON
ejpam-5383	255	8	is	be	AUX
ejpam-5383	255	9	odd	odd	ADJ
ejpam-5383	255	10	and	and	CCONJ
ejpam-5383	255	11	m	m	VERB
ejpam-5383	255	12	is	be	AUX
ejpam-5383	255	13	odd	odd	ADJ
ejpam-5383	255	14	i	i	PRON
ejpam-5383	255	15	c1u	c1u	PROPN
ejpam-5383	255	16	1	1	NUM
ejpam-5383	255	17	i	i	PRON
ejpam-5383	255	18	c2u	c2u	VERB
ejpam-5383	255	19	2	2	NUM
ejpam-5383	256	1	i	i	PRON
ejpam-5383	256	2	c3u	c3u	VERB
ejpam-5383	256	3	3	3	NUM
ejpam-5383	257	1	i	i	PRON
ejpam-5383	257	2	...	...	PUNCT
ejpam-5383	258	1	cm−1u	cm−1u	NUM
ejpam-5383	258	2	m−1	m−1	PROPN
ejpam-5383	258	3	i	i	PRON
ejpam-5383	258	4	cmumi	cmumi	VERB
ejpam-5383	258	5	1	1	NUM
ejpam-5383	258	6	mn+(m-1)n+3	mn+(m-1)n+3	NOUN
ejpam-5383	258	7	mn+(m-2)n+5	mn+(m-2)n+5	PROPN
ejpam-5383	258	8	mn+(m-3)n+7	mn+(m-3)n+7	PROPN
ejpam-5383	258	9	...	...	PUNCT
ejpam-5383	258	10	mn+2m+(n-1	mn+2m+(n-1	X
ejpam-5383	258	11	)	)	PUNCT
ejpam-5383	258	12	mn+2m+1	mn+2m+1	NOUN
ejpam-5383	258	13	2	2	NUM
ejpam-5383	258	14	mn+(m-1)n+4	mn+(m-1)n+4	NOUN
ejpam-5383	258	15	mn+(m-2)n+6	mn+(m-2)n+6	NOUN
ejpam-5383	258	16	mn+(m-3)n+8	mn+(m-3)n+8	NOUN
ejpam-5383	258	17	...	...	PUNCT
ejpam-5383	259	1	mn+2m+n	mn+2m+n	NUM
ejpam-5383	259	2	mn+2m+2	mn+2m+2	NOUN
ejpam-5383	259	3	...	...	PUNCT
ejpam-5383	259	4	...	...	PUNCT
ejpam-5383	259	5	...	...	PUNCT
ejpam-5383	259	6	...	...	PUNCT
ejpam-5383	259	7	...	...	PUNCT
ejpam-5383	259	8	...	...	PUNCT
ejpam-5383	259	9	...	...	PUNCT
ejpam-5383	259	10	...	...	PUNCT
ejpam-5383	259	11	...	...	PUNCT
ejpam-5383	259	12	...	...	PUNCT
ejpam-5383	259	13	...	...	PUNCT
ejpam-5383	259	14	...	...	PUNCT
ejpam-5383	259	15	...	...	PUNCT
ejpam-5383	259	16	...	...	PUNCT
ejpam-5383	260	1	n-1	n-1	NOUN
ejpam-5383	261	1	2mn+1	2mn+1	NUM
ejpam-5383	261	2	mn+(m-1)n+3	mn+(m-1)n+3	NOUN
ejpam-5383	261	3	mn+(m-2)n+5	mn+(m-2)n+5	PROPN
ejpam-5383	261	4	...	...	PUNCT
ejpam-5383	262	1	mn+2m+2n-3	mn+2m+2n-3	PROPN
ejpam-5383	262	2	mn+2m+n-1	mn+2m+n-1	PROPN
ejpam-5383	262	3	n	n	PRON
ejpam-5383	262	4	2mn+2	2mn+2	NUM
ejpam-5383	262	5	mn+(m-1)n+4	mn+(m-1)n+4	NOUN
ejpam-5383	262	6	mn+(m-2)n+6	mn+(m-2)n+6	NOUN
ejpam-5383	262	7	...	...	PUNCT
ejpam-5383	263	1	mn+2m+2n-2	mn+2m+2n-2	PROPN
ejpam-5383	263	2	mn+2m+n	mn+2m+n	ADJ
ejpam-5383	263	3	table	table	NOUN
ejpam-5383	263	4	8	8	NUM
ejpam-5383	263	5	:	:	PUNCT
ejpam-5383	263	6	weights	weight	NOUN
ejpam-5383	263	7	for	for	ADP
ejpam-5383	263	8	the	the	DET
ejpam-5383	263	9	pendant	pendant	ADJ
ejpam-5383	263	10	edges	edge	NOUN
ejpam-5383	263	11	cju	cju	VERB
ejpam-5383	263	12	j	j	PROPN
ejpam-5383	263	13	i	i	PROPN
ejpam-5383	263	14	of	of	ADP
ejpam-5383	263	15	mk1,n	mk1,n	PROPN
ejpam-5383	263	16	,	,	PUNCT
ejpam-5383	263	17	where	where	SCONJ
ejpam-5383	263	18	n	n	PRON
ejpam-5383	263	19	is	be	AUX
ejpam-5383	263	20	odd	odd	ADJ
ejpam-5383	263	21	and	and	CCONJ
ejpam-5383	263	22	m	m	VERB
ejpam-5383	263	23	is	be	AUX
ejpam-5383	263	24	even	even	ADV
ejpam-5383	263	25	i	i	PRON
ejpam-5383	263	26	c1u	c1u	PROPN
ejpam-5383	263	27	1	1	NUM
ejpam-5383	263	28	i	i	PRON
ejpam-5383	263	29	c2u	c2u	VERB
ejpam-5383	263	30	2	2	NUM
ejpam-5383	264	1	i	i	PRON
ejpam-5383	264	2	c3u	c3u	VERB
ejpam-5383	264	3	3	3	NUM
ejpam-5383	265	1	i	i	PRON
ejpam-5383	265	2	...	...	PUNCT
ejpam-5383	266	1	cm−1u	cm−1u	NUM
ejpam-5383	266	2	m−1	m−1	PROPN
ejpam-5383	266	3	i	i	PRON
ejpam-5383	266	4	cmumi	cmumi	VERB
ejpam-5383	266	5	1	1	NUM
ejpam-5383	266	6	mn+(m-1)n+2	mn+(m-1)n+2	NUM
ejpam-5383	266	7	mn+(m-2)n+4	mn+(m-2)n+4	NOUN
ejpam-5383	266	8	mn+(m-3)n+6	mn+(m-3)n+6	NOUN
ejpam-5383	266	9	...	...	PUNCT
ejpam-5383	266	10	mn+2m+(n-2	mn+2m+(n-2	NOUN
ejpam-5383	266	11	)	)	PUNCT
ejpam-5383	266	12	mn+2	mn+2	NOUN
ejpam-5383	266	13	m	m	NOUN
ejpam-5383	266	14	2	2	NUM
ejpam-5383	266	15	mn+(m-1)n+3	mn+(m-1)n+3	NOUN
ejpam-5383	266	16	mn+(m-2)n+5	mn+(m-2)n+5	PROPN
ejpam-5383	266	17	mn+(m-3)n+7	mn+(m-3)n+7	PROPN
ejpam-5383	266	18	...	...	PUNCT
ejpam-5383	266	19	mn+2m+(n-1	mn+2m+(n-1	X
ejpam-5383	266	20	)	)	PUNCT
ejpam-5383	266	21	mn+2m+1	mn+2m+1	PROPN
ejpam-5383	266	22	...	...	PUNCT
ejpam-5383	266	23	...	...	PUNCT
ejpam-5383	266	24	...	...	PUNCT
ejpam-5383	266	25	...	...	PUNCT
ejpam-5383	266	26	...	...	PUNCT
ejpam-5383	266	27	...	...	PUNCT
ejpam-5383	266	28	...	...	PUNCT
ejpam-5383	266	29	...	...	PUNCT
ejpam-5383	266	30	...	...	PUNCT
ejpam-5383	266	31	...	...	PUNCT
ejpam-5383	266	32	...	...	PUNCT
ejpam-5383	266	33	...	...	PUNCT
ejpam-5383	266	34	...	...	PUNCT
ejpam-5383	266	35	...	...	PUNCT
ejpam-5383	266	36	n-1	n-1	X
ejpam-5383	267	1	2mn	2mn	PROPN
ejpam-5383	267	2	mn+(m-1)n+2	mn+(m-1)n+2	NUM
ejpam-5383	267	3	mn+(m-2)n+4	mn+(m-2)n+4	NOUN
ejpam-5383	267	4	...	...	PUNCT
ejpam-5383	268	1	mn+2m+2n-4	mn+2m+2n-4	NOUN
ejpam-5383	268	2	mn+2m+n-2	mn+2m+n-2	NOUN
ejpam-5383	268	3	n	n	CCONJ
ejpam-5383	268	4	2mn+1	2mn+1	NUM
ejpam-5383	268	5	mn+(m-1)n+3	mn+(m-1)n+3	NOUN
ejpam-5383	268	6	mn+(m-2)n+5	mn+(m-2)n+5	PROPN
ejpam-5383	268	7	...	...	PUNCT
ejpam-5383	269	1	mn+2m+2n-3	mn+2m+2n-3	PROPN
ejpam-5383	269	2	mn+2m+n-1	mn+2m+n-1	PROPN
ejpam-5383	269	3	for	for	ADP
ejpam-5383	269	4	m	m	PROPN
ejpam-5383	269	5	is	be	AUX
ejpam-5383	269	6	even	even	ADV
ejpam-5383	269	7	,	,	PUNCT
ejpam-5383	269	8	the	the	DET
ejpam-5383	269	9	union	union	NOUN
ejpam-5383	269	10	of	of	ADP
ejpam-5383	269	11	all	all	DET
ejpam-5383	269	12	distinct	distinct	ADJ
ejpam-5383	269	13	weights	weight	NOUN
ejpam-5383	269	14	of	of	ADP
ejpam-5383	269	15	a	a	DET
ejpam-5383	269	16	set	set	NOUN
ejpam-5383	269	17	ceven	ceven	VERB
ejpam-5383	269	18	is	be	AUX
ejpam-5383	269	19	given	give	VERB
ejpam-5383	269	20	as	as	SCONJ
ejpam-5383	269	21	follows	follow	VERB
ejpam-5383	269	22	:	:	PUNCT
ejpam-5383	269	23	ceven	ceven	VERB
ejpam-5383	269	24	=[	=[	NOUN
ejpam-5383	269	25	mn+	mn+	NOUN
ejpam-5383	269	26	2m+	2m+	NUM
ejpam-5383	269	27	1	1	NUM
ejpam-5383	269	28	,	,	PUNCT
ejpam-5383	269	29	2mn+m	2mn+m	NUM
ejpam-5383	269	30	]	]	X
ejpam-5383	269	31	∪	∪	X
ejpam-5383	269	32	{	{	PUNCT
ejpam-5383	269	33	mn+	mn+	NOUN
ejpam-5383	269	34	2,mn+	2,mn+	NUM
ejpam-5383	269	35	4	4	NUM
ejpam-5383	269	36	,	,	PUNCT
ejpam-5383	269	37	...	...	PUNCT
ejpam-5383	269	38	,	,	PUNCT
ejpam-5383	269	39	mn+	mn+	NOUN
ejpam-5383	269	40	2	2	NUM
ejpam-5383	269	41	m	m	NOUN
ejpam-5383	269	42	}	}	PUNCT
ejpam-5383	269	43	∪	∪	ADJ
ejpam-5383	269	44	{	{	PUNCT
ejpam-5383	269	45	2mn+m+	2mn+m+	NUM
ejpam-5383	269	46	m[(3n−	m[(3n−	NOUN
ejpam-5383	269	47	2)n−	2)n−	PROPN
ejpam-5383	269	48	3	3	NUM
ejpam-5383	269	49	]	]	PUNCT
ejpam-5383	269	50	+	+	CCONJ
ejpam-5383	269	51	(	(	PUNCT
ejpam-5383	269	52	n+	n+	NOUN
ejpam-5383	269	53	1	1	NUM
ejpam-5383	269	54	)	)	SYM
ejpam-5383	269	55	2	2	NUM
ejpam-5383	269	56	}	}	PUNCT
ejpam-5383	269	57	∪	∪	VERB
ejpam-5383	269	58	[	[	X
ejpam-5383	269	59	mn+	mn+	NOUN
ejpam-5383	269	60	2	2	NUM
ejpam-5383	269	61	m	m	NOUN
ejpam-5383	269	62	,	,	PUNCT
ejpam-5383	269	63	2mn+	2mn+	NUM
ejpam-5383	269	64	1	1	NUM
ejpam-5383	269	65	]	]	PUNCT
ejpam-5383	270	1	[	[	X
ejpam-5383	270	2	mn+	mn+	NOUN
ejpam-5383	270	3	2m+	2m+	NUM
ejpam-5383	270	4	1	1	NUM
ejpam-5383	270	5	,	,	PUNCT
ejpam-5383	270	6	2mn+m	2mn+m	NUM
ejpam-5383	270	7	]	]	X
ejpam-5383	270	8	∪	∪	X
ejpam-5383	270	9	{	{	PUNCT
ejpam-5383	270	10	mn+	mn+	NOUN
ejpam-5383	270	11	2,mn+	2,mn+	NUM
ejpam-5383	270	12	4	4	NUM
ejpam-5383	270	13	,	,	PUNCT
ejpam-5383	270	14	...	...	PUNCT
ejpam-5383	270	15	,	,	PUNCT
ejpam-5383	270	16	mn+	mn+	NOUN
ejpam-5383	270	17	2	2	NUM
ejpam-5383	270	18	m	m	NOUN
ejpam-5383	270	19	}	}	PUNCT
ejpam-5383	270	20	∪	∪	ADJ
ejpam-5383	270	21	{	{	PUNCT
ejpam-5383	270	22	2mn+m+	2mn+m+	NUM
ejpam-5383	270	23	m[(3n−	m[(3n−	NOUN
ejpam-5383	270	24	2)n−	2)n−	PROPN
ejpam-5383	270	25	3	3	NUM
ejpam-5383	270	26	]	]	PUNCT
ejpam-5383	270	27	+	+	CCONJ
ejpam-5383	270	28	(	(	PUNCT
ejpam-5383	270	29	n+	n+	NOUN
ejpam-5383	270	30	1	1	NUM
ejpam-5383	270	31	)	)	SYM
ejpam-5383	270	32	2	2	NUM
ejpam-5383	270	33	}	}	PUNCT
ejpam-5383	270	34	|ceven|	|ceven|	NOUN
ejpam-5383	270	35	=	=	NUM
ejpam-5383	270	36	m(n−	m(n−	NOUN
ejpam-5383	270	37	1	1	NUM
ejpam-5383	270	38	)	)	PUNCT
ejpam-5383	271	1	+	+	NOUN
ejpam-5383	271	2	m+	m+	NUM
ejpam-5383	271	3	1	1	NUM
ejpam-5383	271	4	=	=	SYM
ejpam-5383	271	5	mn+	mn+	NOUN
ejpam-5383	271	6	1	1	NUM
ejpam-5383	271	7	so	so	SCONJ
ejpam-5383	271	8	that	that	SCONJ
ejpam-5383	271	9	f	f	PROPN
ejpam-5383	271	10	provides	provide	VERB
ejpam-5383	271	11	a	a	DET
ejpam-5383	271	12	local	local	ADJ
ejpam-5383	271	13	total	total	ADJ
ejpam-5383	271	14	antimagic	antimagic	ADJ
ejpam-5383	271	15	labeling	labeling	NOUN
ejpam-5383	271	16	for	for	ADP
ejpam-5383	271	17	mk1,n	mk1,n	NOUN
ejpam-5383	271	18	with	with	ADP
ejpam-5383	271	19	mn	mn	PROPN
ejpam-5383	271	20	+	+	CCONJ
ejpam-5383	271	21	1	1	NUM
ejpam-5383	271	22	colors	color	NOUN
ejpam-5383	271	23	,	,	PUNCT
ejpam-5383	271	24	and	and	CCONJ
ejpam-5383	271	25	hence	hence	ADV
ejpam-5383	271	26	χlt(mk1,n	χlt(mk1,n	NOUN
ejpam-5383	271	27	)	)	PUNCT
ejpam-5383	271	28	≤	≤	NUM
ejpam-5383	271	29	mn	mn	PROPN
ejpam-5383	272	1	+	+	CCONJ
ejpam-5383	272	2	1	1	X
ejpam-5383	272	3	.	.	PUNCT
ejpam-5383	272	4	by	by	ADP
ejpam-5383	272	5	theorem	theorem	NOUN
ejpam-5383	272	6	1	1	NUM
ejpam-5383	272	7	[	[	SYM
ejpam-5383	272	8	35	35	NUM
ejpam-5383	272	9	]	]	PUNCT
ejpam-5383	272	10	,	,	PUNCT
ejpam-5383	272	11	we	we	PRON
ejpam-5383	272	12	get	get	VERB
ejpam-5383	272	13	χlt(mk1,n	χlt(mk1,n	NOUN
ejpam-5383	272	14	)	)	PUNCT
ejpam-5383	272	15	≥	≥	NOUN
ejpam-5383	272	16	mn	mn	PROPN
ejpam-5383	273	1	+	+	NOUN
ejpam-5383	273	2	1	1	X
ejpam-5383	273	3	.	.	PUNCT
ejpam-5383	273	4	thus	thus	ADV
ejpam-5383	273	5	χlt(mk1,n	χlt(mk1,n	NOUN
ejpam-5383	273	6	)	)	PUNCT
ejpam-5383	274	1	=	=	VERB
ejpam-5383	274	2	mn+	mn+	NOUN
ejpam-5383	274	3	1	1	NUM
ejpam-5383	274	4	.	.	PUNCT
ejpam-5383	274	5	example	example	NOUN
ejpam-5383	275	1	2	2	NUM
ejpam-5383	275	2	.	.	PUNCT
ejpam-5383	276	1	the	the	DET
ejpam-5383	276	2	local	local	ADJ
ejpam-5383	276	3	total	total	ADJ
ejpam-5383	276	4	antimagic	antimagic	ADJ
ejpam-5383	276	5	labeling	labeling	NOUN
ejpam-5383	276	6	of	of	ADP
ejpam-5383	276	7	5k1,3	5k1,3	NUM
ejpam-5383	276	8	with	with	ADP
ejpam-5383	276	9	16	16	NUM
ejpam-5383	276	10	colors	color	NOUN
ejpam-5383	276	11	are	be	AUX
ejpam-5383	276	12	{	{	PUNCT
ejpam-5383	276	13	17	17	NUM
ejpam-5383	276	14	,	,	PUNCT
ejpam-5383	276	15	19	19	NUM
ejpam-5383	276	16	,	,	PUNCT
ejpam-5383	276	17	21	21	NUM
ejpam-5383	276	18	,	,	PUNCT
ejpam-5383	276	19	23	23	NUM
ejpam-5383	276	20	,	,	PUNCT
ejpam-5383	276	21	25	25	NUM
ejpam-5383	276	22	,	,	PUNCT
ejpam-5383	276	23	26	26	NUM
ejpam-5383	276	24	,	,	PUNCT
ejpam-5383	276	25	27	27	NUM
ejpam-5383	276	26	,	,	PUNCT
ejpam-5383	276	27	28	28	NUM
ejpam-5383	276	28	,	,	PUNCT
ejpam-5383	276	29	29	29	NUM
ejpam-5383	276	30	,	,	PUNCT
ejpam-5383	276	31	30	30	NUM
ejpam-5383	276	32	,	,	PUNCT
ejpam-5383	276	33	31	31	NUM
ejpam-5383	276	34	,	,	PUNCT
ejpam-5383	276	35	32	32	NUM
ejpam-5383	276	36	,	,	PUNCT
ejpam-5383	276	37	33	33	NUM
ejpam-5383	276	38	,	,	PUNCT
ejpam-5383	276	39	34	34	NUM
ejpam-5383	276	40	,	,	PUNCT
ejpam-5383	276	41	35	35	NUM
ejpam-5383	276	42	,	,	PUNCT
ejpam-5383	276	43	82	82	NUM
ejpam-5383	276	44	}	}	PUNCT
ejpam-5383	276	45	given	give	VERB
ejpam-5383	276	46	in	in	ADP
ejpam-5383	276	47	figure	figure	NOUN
ejpam-5383	276	48	2	2	NUM
ejpam-5383	276	49	.	.	PUNCT
ejpam-5383	277	1	v.	v.	ADP
ejpam-5383	277	2	sandhiya	sandhiya	PROPN
ejpam-5383	277	3	,	,	PUNCT
ejpam-5383	277	4	m.	m.	NOUN
ejpam-5383	277	5	nalliah	nalliah	PROPN
ejpam-5383	277	6	/	/	SYM
ejpam-5383	277	7	eur	eur	PROPN
ejpam-5383	277	8	.	.	PUNCT
ejpam-5383	278	1	j.	j.	PROPN
ejpam-5383	278	2	pure	pure	PROPN
ejpam-5383	278	3	appl	appl	PROPN
ejpam-5383	278	4	.	.	PROPN
ejpam-5383	278	5	math	math	PROPN
ejpam-5383	278	6	,	,	PUNCT
ejpam-5383	278	7	17	17	NUM
ejpam-5383	278	8	(	(	PUNCT
ejpam-5383	278	9	4	4	NUM
ejpam-5383	278	10	)	)	PUNCT
ejpam-5383	278	11	(	(	PUNCT
ejpam-5383	278	12	2024	2024	NUM
ejpam-5383	278	13	)	)	PUNCT
ejpam-5383	278	14	,	,	PUNCT
ejpam-5383	278	15	2828	2828	NUM
ejpam-5383	278	16	-	-	SYM
ejpam-5383	278	17	2842	2842	NUM
ejpam-5383	278	18	2838	2838	NUM
ejpam-5383	278	19	16	16	NUM
ejpam-5383	278	20	15	15	NUM
ejpam-5383	278	21	13	13	NUM
ejpam-5383	278	22	14	14	NUM
ejpam-5383	278	23	18	18	NUM
ejpam-5383	278	24	12	12	NUM
ejpam-5383	278	25	10	10	NUM
ejpam-5383	278	26	11	11	NUM
ejpam-5383	278	27	20	20	NUM
ejpam-5383	278	28	9	9	NUM
ejpam-5383	278	29	7	7	NUM
ejpam-5383	278	30	8	8	NUM
ejpam-5383	278	31	22	22	NUM
ejpam-5383	278	32	6	6	NUM
ejpam-5383	278	33	4	4	NUM
ejpam-5383	278	34	5	5	NUM
ejpam-5383	278	35	24	24	NUM
ejpam-5383	278	36	3	3	NUM
ejpam-5383	278	37	1	1	NUM
ejpam-5383	278	38	2	2	NUM
ejpam-5383	278	39	35	35	NUM
ejpam-5383	278	40	30	30	NUM
ejpam-5383	278	41	17	17	NUM
ejpam-5383	278	42	34	34	NUM
ejpam-5383	278	43	29	29	NUM
ejpam-5383	278	44	19	19	NUM
ejpam-5383	278	45	33	33	NUM
ejpam-5383	278	46	28	28	NUM
ejpam-5383	278	47	21	21	NUM
ejpam-5383	278	48	32	32	NUM
ejpam-5383	278	49	27	27	NUM
ejpam-5383	278	50	23	23	NUM
ejpam-5383	278	51	31	31	NUM
ejpam-5383	278	52	26	26	NUM
ejpam-5383	278	53	25	25	NUM
ejpam-5383	278	54	figure	figure	NOUN
ejpam-5383	278	55	2	2	NUM
ejpam-5383	278	56	:	:	PUNCT
ejpam-5383	278	57	local	local	ADJ
ejpam-5383	278	58	total	total	ADJ
ejpam-5383	278	59	antimagic	antimagic	ADJ
ejpam-5383	278	60	labeling	labeling	NOUN
ejpam-5383	278	61	of	of	ADP
ejpam-5383	278	62	5k1,3	5k1,3	NUM
ejpam-5383	278	63	with	with	ADP
ejpam-5383	278	64	16	16	NUM
ejpam-5383	278	65	colors	color	NOUN
ejpam-5383	278	66	{	{	PUNCT
ejpam-5383	278	67	17	17	NUM
ejpam-5383	278	68	,	,	PUNCT
ejpam-5383	278	69	19	19	NUM
ejpam-5383	278	70	,	,	PUNCT
ejpam-5383	278	71	21	21	NUM
ejpam-5383	278	72	,	,	PUNCT
ejpam-5383	278	73	23	23	NUM
ejpam-5383	278	74	,	,	PUNCT
ejpam-5383	278	75	25	25	NUM
ejpam-5383	278	76	,	,	PUNCT
ejpam-5383	278	77	26	26	NUM
ejpam-5383	278	78	,	,	PUNCT
ejpam-5383	278	79	27	27	NUM
ejpam-5383	278	80	,	,	PUNCT
ejpam-5383	278	81	28	28	NUM
ejpam-5383	278	82	,	,	PUNCT
ejpam-5383	278	83	29	29	NUM
ejpam-5383	278	84	,	,	PUNCT
ejpam-5383	278	85	30	30	NUM
ejpam-5383	278	86	,	,	PUNCT
ejpam-5383	278	87	31	31	NUM
ejpam-5383	278	88	,	,	PUNCT
ejpam-5383	278	89	32	32	NUM
ejpam-5383	278	90	,	,	PUNCT
ejpam-5383	278	91	33	33	NUM
ejpam-5383	278	92	,	,	PUNCT
ejpam-5383	278	93	34	34	NUM
ejpam-5383	278	94	,	,	PUNCT
ejpam-5383	278	95	35	35	NUM
ejpam-5383	278	96	,	,	PUNCT
ejpam-5383	278	97	82	82	NUM
ejpam-5383	278	98	}	}	PUNCT
ejpam-5383	278	99	example	example	NOUN
ejpam-5383	278	100	3	3	NUM
ejpam-5383	278	101	.	.	PUNCT
ejpam-5383	279	1	the	the	DET
ejpam-5383	279	2	local	local	ADJ
ejpam-5383	279	3	total	total	ADJ
ejpam-5383	279	4	antimagic	antimagic	ADJ
ejpam-5383	279	5	labeling	labeling	NOUN
ejpam-5383	279	6	of	of	ADP
ejpam-5383	279	7	4k1,6	4k1,6	NUM
ejpam-5383	279	8	with	with	ADP
ejpam-5383	279	9	25	25	NUM
ejpam-5383	279	10	colors	color	NOUN
ejpam-5383	279	11	are	be	AUX
ejpam-5383	279	12	[	[	X
ejpam-5383	279	13	29	29	NUM
ejpam-5383	279	14	52]∪{243	52]∪{243	NUM
ejpam-5383	279	15	}	}	PUNCT
ejpam-5383	279	16	given	give	VERB
ejpam-5383	279	17	in	in	ADP
ejpam-5383	279	18	figure	figure	NOUN
ejpam-5383	279	19	3	3	NUM
ejpam-5383	279	20	.	.	NOUN
ejpam-5383	279	21	28	28	NUM
ejpam-5383	279	22	1	1	NUM
ejpam-5383	279	23	5	5	NUM
ejpam-5383	279	24	9	9	NUM
ejpam-5383	279	25	13	13	NUM
ejpam-5383	279	26	17	17	NUM
ejpam-5383	279	27	21	21	NUM
ejpam-5383	279	28	27	27	NUM
ejpam-5383	279	29	2	2	NUM
ejpam-5383	279	30	6	6	NUM
ejpam-5383	279	31	10	10	NUM
ejpam-5383	279	32	14	14	NUM
ejpam-5383	279	33	18	18	NUM
ejpam-5383	279	34	22	22	NUM
ejpam-5383	279	35	26	26	NUM
ejpam-5383	279	36	3	3	NUM
ejpam-5383	279	37	7	7	NUM
ejpam-5383	279	38	11	11	NUM
ejpam-5383	279	39	15	15	NUM
ejpam-5383	279	40	19	19	NUM
ejpam-5383	279	41	23	23	NUM
ejpam-5383	279	42	25	25	NUM
ejpam-5383	279	43	4	4	NUM
ejpam-5383	279	44	8	8	NUM
ejpam-5383	279	45	12	12	NUM
ejpam-5383	279	46	16	16	NUM
ejpam-5383	279	47	20	20	NUM
ejpam-5383	279	48	24	24	NUM
ejpam-5383	279	49	52	52	NUM
ejpam-5383	279	50	45	45	NUM
ejpam-5383	279	51	44	44	NUM
ejpam-5383	279	52	37	37	NUM
ejpam-5383	279	53	36	36	NUM
ejpam-5383	279	54	29	29	NUM
ejpam-5383	279	55	51	51	NUM
ejpam-5383	279	56	46	46	NUM
ejpam-5383	279	57	43	43	NUM
ejpam-5383	279	58	38	38	NUM
ejpam-5383	279	59	35	35	NUM
ejpam-5383	279	60	30	30	NUM
ejpam-5383	279	61	50	50	NUM
ejpam-5383	279	62	47	47	NUM
ejpam-5383	279	63	42	42	NUM
ejpam-5383	279	64	39	39	NUM
ejpam-5383	279	65	34	34	NUM
ejpam-5383	279	66	31	31	NUM
ejpam-5383	279	67	49	49	NUM
ejpam-5383	279	68	48	48	NUM
ejpam-5383	279	69	41	41	NUM
ejpam-5383	279	70	40	40	NUM
ejpam-5383	279	71	33	33	NUM
ejpam-5383	279	72	32	32	NUM
ejpam-5383	279	73	figure	figure	NOUN
ejpam-5383	279	74	3	3	NUM
ejpam-5383	279	75	:	:	PUNCT
ejpam-5383	279	76	local	local	ADJ
ejpam-5383	279	77	total	total	ADJ
ejpam-5383	279	78	antimagic	antimagic	ADJ
ejpam-5383	279	79	labeling	labeling	NOUN
ejpam-5383	279	80	of	of	ADP
ejpam-5383	279	81	4k1,6	4k1,6	NUM
ejpam-5383	279	82	with	with	ADP
ejpam-5383	279	83	25	25	NUM
ejpam-5383	279	84	colors	color	NOUN
ejpam-5383	279	85	[	[	PUNCT
ejpam-5383	279	86	29	29	NUM
ejpam-5383	279	87	52	52	NUM
ejpam-5383	279	88	]	]	PUNCT
ejpam-5383	279	89	∪	∪	X
ejpam-5383	279	90	{	{	PUNCT
ejpam-5383	279	91	243	243	NUM
ejpam-5383	279	92	}	}	PUNCT
ejpam-5383	279	93	example	example	NOUN
ejpam-5383	279	94	4	4	NUM
ejpam-5383	279	95	.	.	PUNCT
ejpam-5383	280	1	the	the	DET
ejpam-5383	280	2	local	local	ADJ
ejpam-5383	280	3	total	total	ADJ
ejpam-5383	280	4	antimagic	antimagic	ADJ
ejpam-5383	280	5	labeling	labeling	NOUN
ejpam-5383	280	6	of	of	ADP
ejpam-5383	280	7	5k1,7	5k1,7	NUM
ejpam-5383	280	8	with	with	ADP
ejpam-5383	280	9	36	36	NUM
ejpam-5383	280	10	colors	color	NOUN
ejpam-5383	280	11	are	be	AUX
ejpam-5383	280	12	{	{	PUNCT
ejpam-5383	280	13	36	36	NUM
ejpam-5383	280	14	,	,	PUNCT
ejpam-5383	280	15	38	38	NUM
ejpam-5383	280	16	,	,	PUNCT
ejpam-5383	280	17	40	40	NUM
ejpam-5383	280	18	,	,	PUNCT
ejpam-5383	280	19	42	42	NUM
ejpam-5383	280	20	,	,	PUNCT
ejpam-5383	280	21	44}∪	44}∪	PROPN
ejpam-5383	281	1	[	[	X
ejpam-5383	281	2	47	47	NUM
ejpam-5383	281	3	75	75	NUM
ejpam-5383	281	4	]	]	PUNCT
ejpam-5383	281	5	∪	∪	X
ejpam-5383	281	6	{	{	PUNCT
ejpam-5383	281	7	403	403	NUM
ejpam-5383	281	8	}	}	PUNCT
ejpam-5383	281	9	are	be	AUX
ejpam-5383	281	10	given	give	VERB
ejpam-5383	281	11	in	in	ADP
ejpam-5383	281	12	figure	figure	NOUN
ejpam-5383	281	13	4	4	NUM
ejpam-5383	281	14	.	.	NOUN
ejpam-5383	281	15	37	37	NUM
ejpam-5383	281	16	29	29	NUM
ejpam-5383	281	17	30	30	NUM
ejpam-5383	281	18	31	31	NUM
ejpam-5383	281	19	32	32	NUM
ejpam-5383	281	20	33	33	NUM
ejpam-5383	281	21	34	34	NUM
ejpam-5383	281	22	35	35	NUM
ejpam-5383	281	23	39	39	NUM
ejpam-5383	281	24	22	22	NUM
ejpam-5383	281	25	23	23	NUM
ejpam-5383	281	26	24	24	NUM
ejpam-5383	281	27	25	25	NUM
ejpam-5383	281	28	26	26	NUM
ejpam-5383	281	29	27	27	NUM
ejpam-5383	281	30	28	28	NUM
ejpam-5383	281	31	41	41	NUM
ejpam-5383	281	32	15	15	NUM
ejpam-5383	281	33	16	16	NUM
ejpam-5383	281	34	17	17	NUM
ejpam-5383	281	35	18	18	NUM
ejpam-5383	281	36	19	19	NUM
ejpam-5383	281	37	20	20	NUM
ejpam-5383	281	38	21	21	NUM
ejpam-5383	281	39	43	43	NUM
ejpam-5383	281	40	8	8	NUM
ejpam-5383	281	41	9	9	NUM
ejpam-5383	281	42	10	10	NUM
ejpam-5383	281	43	11	11	NUM
ejpam-5383	281	44	12	12	NUM
ejpam-5383	281	45	13	13	NUM
ejpam-5383	281	46	14	14	NUM
ejpam-5383	281	47	45	45	NUM
ejpam-5383	281	48	1	1	NUM
ejpam-5383	281	49	2	2	NUM
ejpam-5383	281	50	3	3	NUM
ejpam-5383	281	51	4	4	NUM
ejpam-5383	281	52	5	5	NUM
ejpam-5383	281	53	6	6	NUM
ejpam-5383	281	54	7	7	NUM
ejpam-5383	281	55	75	75	NUM
ejpam-5383	281	56	66	66	NUM
ejpam-5383	281	57	65	65	NUM
ejpam-5383	281	58	56	56	NUM
ejpam-5383	281	59	55	55	NUM
ejpam-5383	281	60	50	50	NUM
ejpam-5383	281	61	36	36	NUM
ejpam-5383	281	62	74	74	NUM
ejpam-5383	281	63	67	67	NUM
ejpam-5383	281	64	64	64	NUM
ejpam-5383	281	65	57	57	NUM
ejpam-5383	281	66	54	54	NUM
ejpam-5383	281	67	49	49	NUM
ejpam-5383	281	68	38	38	NUM
ejpam-5383	281	69	73	73	NUM
ejpam-5383	281	70	68	68	NUM
ejpam-5383	281	71	63	63	NUM
ejpam-5383	281	72	58	58	NUM
ejpam-5383	281	73	53	53	NUM
ejpam-5383	281	74	48	48	NUM
ejpam-5383	281	75	40	40	NUM
ejpam-5383	281	76	72	72	NUM
ejpam-5383	281	77	69	69	NUM
ejpam-5383	281	78	62	62	NUM
ejpam-5383	281	79	59	59	NUM
ejpam-5383	281	80	52	52	NUM
ejpam-5383	281	81	47	47	NUM
ejpam-5383	281	82	42	42	NUM
ejpam-5383	281	83	71	71	NUM
ejpam-5383	281	84	70	70	NUM
ejpam-5383	281	85	61	61	NUM
ejpam-5383	281	86	60	60	NUM
ejpam-5383	281	87	51	51	NUM
ejpam-5383	281	88	46	46	NUM
ejpam-5383	281	89	44	44	NUM
ejpam-5383	281	90	figure	figure	NOUN
ejpam-5383	281	91	4	4	NUM
ejpam-5383	281	92	:	:	PUNCT
ejpam-5383	281	93	local	local	ADJ
ejpam-5383	281	94	total	total	ADJ
ejpam-5383	281	95	antimagic	antimagic	ADJ
ejpam-5383	281	96	labeling	labeling	NOUN
ejpam-5383	281	97	of	of	ADP
ejpam-5383	281	98	5k1,7	5k1,7	NUM
ejpam-5383	281	99	with	with	ADP
ejpam-5383	281	100	36	36	NUM
ejpam-5383	281	101	colors	color	NOUN
ejpam-5383	281	102	{	{	PUNCT
ejpam-5383	281	103	36	36	NUM
ejpam-5383	281	104	,	,	PUNCT
ejpam-5383	281	105	38	38	NUM
ejpam-5383	281	106	,	,	PUNCT
ejpam-5383	281	107	40	40	NUM
ejpam-5383	281	108	,	,	PUNCT
ejpam-5383	281	109	42	42	NUM
ejpam-5383	281	110	,	,	PUNCT
ejpam-5383	281	111	44	44	NUM
ejpam-5383	281	112	}	}	PUNCT
ejpam-5383	281	113	∪	∪	VERB
ejpam-5383	281	114	[	[	PUNCT
ejpam-5383	281	115	47	47	NUM
ejpam-5383	281	116	75	75	NUM
ejpam-5383	281	117	]	]	PUNCT
ejpam-5383	281	118	∪	∪	X
ejpam-5383	281	119	{	{	PUNCT
ejpam-5383	281	120	403	403	NUM
ejpam-5383	281	121	}	}	SYM
ejpam-5383	281	122	3	3	NUM
ejpam-5383	281	123	.	.	PUNCT
ejpam-5383	281	124	conclusions	conclusion	NOUN
ejpam-5383	281	125	in	in	ADP
ejpam-5383	281	126	this	this	DET
ejpam-5383	281	127	paper	paper	NOUN
ejpam-5383	281	128	,	,	PUNCT
ejpam-5383	281	129	we	we	PRON
ejpam-5383	281	130	investigated	investigate	VERB
ejpam-5383	281	131	the	the	DET
ejpam-5383	281	132	local	local	ADJ
ejpam-5383	281	133	total	total	ADJ
ejpam-5383	281	134	antimagic	antimagic	ADJ
ejpam-5383	281	135	labeling	labeling	NOUN
ejpam-5383	281	136	and	and	CCONJ
ejpam-5383	281	137	local	local	ADJ
ejpam-5383	281	138	total	total	ADJ
ejpam-5383	281	139	antimagic	antimagic	ADJ
ejpam-5383	281	140	chromatic	chromatic	ADJ
ejpam-5383	281	141	number	number	NOUN
ejpam-5383	281	142	for	for	ADP
ejpam-5383	281	143	the	the	DET
ejpam-5383	281	144	disjoint	disjoint	PROPN
ejpam-5383	281	145	union	union	PROPN
ejpam-5383	281	146	of	of	ADP
ejpam-5383	281	147	star	star	NOUN
ejpam-5383	281	148	graphs	graph	NOUN
ejpam-5383	281	149	with	with	ADP
ejpam-5383	281	150	some	some	DET
ejpam-5383	281	151	copies	copy	NOUN
ejpam-5383	281	152	of	of	ADP
ejpam-5383	281	153	star	star	NOUN
ejpam-5383	281	154	references	reference	NOUN
ejpam-5383	281	155	2839	2839	NUM
ejpam-5383	281	156	graphs	graph	NOUN
ejpam-5383	281	157	.	.	PUNCT
ejpam-5383	282	1	the	the	DET
ejpam-5383	282	2	disjoint	disjoint	PROPN
ejpam-5383	282	3	union	union	PROPN
ejpam-5383	282	4	of	of	ADP
ejpam-5383	282	5	star	star	NOUN
ejpam-5383	282	6	graphs	graph	NOUN
ejpam-5383	282	7	,	,	PUNCT
ejpam-5383	282	8	equipped	equip	VERB
ejpam-5383	282	9	with	with	ADP
ejpam-5383	282	10	an	an	DET
ejpam-5383	282	11	antimagic	antimagic	ADJ
ejpam-5383	282	12	labeling	labeling	NOUN
ejpam-5383	282	13	,	,	PUNCT
ejpam-5383	282	14	has	have	VERB
ejpam-5383	282	15	various	various	ADJ
ejpam-5383	282	16	applications	application	NOUN
ejpam-5383	282	17	in	in	ADP
ejpam-5383	282	18	network	network	NOUN
ejpam-5383	282	19	optimization	optimization	NOUN
ejpam-5383	282	20	,	,	PUNCT
ejpam-5383	282	21	coding	code	VERB
ejpam-5383	282	22	theory	theory	NOUN
ejpam-5383	282	23	,	,	PUNCT
ejpam-5383	282	24	graph	graph	NOUN
ejpam-5383	282	25	decomposition	decomposition	NOUN
ejpam-5383	282	26	,	,	PUNCT
ejpam-5383	282	27	scheduling	scheduling	NOUN
ejpam-5383	282	28	,	,	PUNCT
ejpam-5383	282	29	resource	resource	NOUN
ejpam-5383	282	30	allocation	allocation	NOUN
ejpam-5383	282	31	,	,	PUNCT
ejpam-5383	282	32	data	data	NOUN
ejpam-5383	282	33	storage	storage	NOUN
ejpam-5383	282	34	and	and	CCONJ
ejpam-5383	282	35	transportation	transportation	NOUN
ejpam-5383	282	36	.	.	PUNCT
ejpam-5383	283	1	these	these	DET
ejpam-5383	283	2	applications	application	NOUN
ejpam-5383	283	3	leverage	leverage	VERB
ejpam-5383	283	4	the	the	DET
ejpam-5383	283	5	structural	structural	ADJ
ejpam-5383	283	6	properties	property	NOUN
ejpam-5383	283	7	of	of	ADP
ejpam-5383	283	8	the	the	DET
ejpam-5383	283	9	union	union	NOUN
ejpam-5383	283	10	of	of	ADP
ejpam-5383	283	11	star	star	NOUN
ejpam-5383	283	12	graphs	graph	NOUN
ejpam-5383	283	13	,	,	PUNCT
ejpam-5383	283	14	combined	combine	VERB
ejpam-5383	283	15	with	with	ADP
ejpam-5383	283	16	the	the	DET
ejpam-5383	283	17	anti	anti	ADJ
ejpam-5383	283	18	-	-	ADJ
ejpam-5383	283	19	magic	magic	ADJ
ejpam-5383	283	20	labeling	labeling	NOUN
ejpam-5383	283	21	,	,	PUNCT
ejpam-5383	283	22	to	to	PART
ejpam-5383	283	23	solve	solve	VERB
ejpam-5383	283	24	the	the	DET
ejpam-5383	283	25	complex	complex	ADJ
ejpam-5383	283	26	problems	problem	NOUN
ejpam-5383	283	27	efficiently	efficiently	ADV
ejpam-5383	283	28	.	.	PUNCT
ejpam-5383	284	1	the	the	DET
ejpam-5383	284	2	local	local	ADJ
ejpam-5383	284	3	total	total	ADJ
ejpam-5383	284	4	antimagic	antimagic	ADJ
ejpam-5383	284	5	labeling	labeling	NOUN
ejpam-5383	284	6	for	for	ADP
ejpam-5383	284	7	the	the	DET
ejpam-5383	284	8	other	other	ADJ
ejpam-5383	284	9	families	family	NOUN
ejpam-5383	284	10	of	of	ADP
ejpam-5383	284	11	disconnected	disconnected	ADJ
ejpam-5383	284	12	graphs	graph	NOUN
ejpam-5383	284	13	are	be	AUX
ejpam-5383	284	14	still	still	ADV
ejpam-5383	284	15	open	open	ADJ
ejpam-5383	284	16	.	.	PUNCT
ejpam-5383	285	1	in	in	ADP
ejpam-5383	285	2	future	future	NOUN
ejpam-5383	285	3	we	we	PRON
ejpam-5383	285	4	will	will	AUX
ejpam-5383	285	5	estimate	estimate	VERB
ejpam-5383	285	6	the	the	DET
ejpam-5383	285	7	real	real	ADJ
ejpam-5383	285	8	time	time	NOUN
ejpam-5383	285	9	applications	application	NOUN
ejpam-5383	285	10	of	of	ADP
ejpam-5383	285	11	local	local	ADJ
ejpam-5383	285	12	total	total	ADJ
ejpam-5383	285	13	antimagic	antimagic	ADJ
ejpam-5383	285	14	labeling	labeling	NOUN
ejpam-5383	285	15	of	of	ADP
ejpam-5383	285	16	both	both	PRON
ejpam-5383	285	17	connected	connected	ADJ
ejpam-5383	285	18	and	and	CCONJ
ejpam-5383	285	19	disconnected	disconnected	ADJ
ejpam-5383	285	20	graphs	graph	NOUN
ejpam-5383	285	21	.	.	PUNCT
ejpam-5383	286	1	acknowledgements	acknowledgement	NOUN
ejpam-5383	286	2	the	the	DET
ejpam-5383	286	3	first	first	ADJ
ejpam-5383	286	4	author	author	NOUN
ejpam-5383	286	5	is	be	AUX
ejpam-5383	286	6	thankful	thankful	ADJ
ejpam-5383	286	7	to	to	ADP
ejpam-5383	286	8	vellore	vellore	PROPN
ejpam-5383	286	9	institute	institute	PROPN
ejpam-5383	286	10	of	of	ADP
ejpam-5383	286	11	technology	technology	NOUN
ejpam-5383	286	12	for	for	ADP
ejpam-5383	286	13	providing	provide	VERB
ejpam-5383	286	14	teaching	teach	VERB
ejpam-5383	286	15	cum	cum	NOUN
ejpam-5383	286	16	research	research	NOUN
ejpam-5383	286	17	associate	associate	NOUN
ejpam-5383	286	18	fellowship	fellowship	NOUN
ejpam-5383	286	19	.	.	PUNCT
ejpam-5383	287	1	references	reference	NOUN
ejpam-5383	287	2	[	[	X
ejpam-5383	287	3	1	1	NUM
ejpam-5383	287	4	]	]	PUNCT
ejpam-5383	287	5	ika	ika	PROPN
ejpam-5383	287	6	hesti	hesti	PROPN
ejpam-5383	287	7	agustin	agustin	PROPN
ejpam-5383	287	8	,	,	PUNCT
ejpam-5383	287	9	mohammad	mohammad	PROPN
ejpam-5383	287	10	hasan	hasan	PROPN
ejpam-5383	287	11	,	,	PUNCT
ejpam-5383	287	12	dafik	dafik	PROPN
ejpam-5383	287	13	dafik	dafik	NOUN
ejpam-5383	287	14	,	,	PUNCT
ejpam-5383	287	15	ridho	ridho	PROPN
ejpam-5383	287	16	alfarisi	alfarisi	PROPN
ejpam-5383	287	17	,	,	PUNCT
ejpam-5383	287	18	and	and	CCONJ
ejpam-5383	287	19	rafiantika	rafiantika	PROPN
ejpam-5383	287	20	megahnia	megahnia	PROPN
ejpam-5383	287	21	prihandini	prihandini	PROPN
ejpam-5383	287	22	.	.	PUNCT
ejpam-5383	288	1	local	local	ADJ
ejpam-5383	288	2	edge	edge	NOUN
ejpam-5383	288	3	antimagic	antimagic	ADJ
ejpam-5383	288	4	coloring	coloring	NOUN
ejpam-5383	288	5	of	of	ADP
ejpam-5383	288	6	a	a	DET
ejpam-5383	288	7	graph	graph	NOUN
ejpam-5383	288	8	.	.	PUNCT
ejpam-5383	289	1	far	far	PROPN
ejpam-5383	289	2	east	east	PROPN
ejpam-5383	289	3	journal	journal	PROPN
ejpam-5383	289	4	of	of	ADP
ejpam-5383	289	5	mathematical	mathematical	ADJ
ejpam-5383	289	6	sciences	sciences	PROPN
ejpam-5383	289	7	,	,	PUNCT
ejpam-5383	289	8	102(9):1925–1941	102(9):1925–1941	NUM
ejpam-5383	289	9	,	,	PUNCT
ejpam-5383	289	10	2017	2017	NUM
ejpam-5383	289	11	.	.	PUNCT
ejpam-5383	290	1	[	[	X
ejpam-5383	290	2	2	2	X
ejpam-5383	290	3	]	]	PUNCT
ejpam-5383	290	4	nasir	nasir	PROPN
ejpam-5383	290	5	ali	ali	PROPN
ejpam-5383	290	6	,	,	PUNCT
ejpam-5383	290	7	zaeema	zaeema	PROPN
ejpam-5383	290	8	kousar	kousar	PROPN
ejpam-5383	290	9	,	,	PUNCT
ejpam-5383	290	10	maimoona	maimoona	PROPN
ejpam-5383	290	11	safdar	safdar	PROPN
ejpam-5383	290	12	,	,	PUNCT
ejpam-5383	290	13	fikadu	fikadu	ADJ
ejpam-5383	290	14	tesgara	tesgara	PROPN
ejpam-5383	290	15	tolasa	tolasa	PROPN
ejpam-5383	290	16	,	,	PUNCT
ejpam-5383	290	17	and	and	CCONJ
ejpam-5383	290	18	enoch	enoch	PROPN
ejpam-5383	290	19	suleiman	suleiman	PROPN
ejpam-5383	290	20	.	.	PUNCT
ejpam-5383	291	1	mapping	mapping	NOUN
ejpam-5383	291	2	connectivity	connectivity	NOUN
ejpam-5383	291	3	patterns	pattern	NOUN
ejpam-5383	291	4	:	:	PUNCT
ejpam-5383	291	5	degree	degree	NOUN
ejpam-5383	291	6	-	-	PUNCT
ejpam-5383	291	7	based	base	VERB
ejpam-5383	291	8	topological	topological	ADJ
ejpam-5383	291	9	indices	index	NOUN
ejpam-5383	291	10	of	of	ADP
ejpam-5383	291	11	corona	corona	NOUN
ejpam-5383	291	12	product	product	NOUN
ejpam-5383	291	13	graphs	graph	NOUN
ejpam-5383	291	14	.	.	PUNCT
ejpam-5383	292	1	journal	journal	NOUN
ejpam-5383	292	2	of	of	ADP
ejpam-5383	292	3	applied	apply	VERB
ejpam-5383	292	4	mathematics	mathematic	NOUN
ejpam-5383	292	5	,	,	PUNCT
ejpam-5383	292	6	2023(1	2023(1	PROPN
ejpam-5383	292	7	)	)	PUNCT
ejpam-5383	292	8	,	,	PUNCT
ejpam-5383	292	9	2023	2023	NUM
ejpam-5383	292	10	.	.	PUNCT
ejpam-5383	293	1	[	[	X
ejpam-5383	293	2	3	3	NUM
ejpam-5383	293	3	]	]	X
ejpam-5383	293	4	s	s	VERB
ejpam-5383	293	5	arumugam	arumugam	ADJ
ejpam-5383	293	6	and	and	CCONJ
ejpam-5383	293	7	m	m	NOUN
ejpam-5383	293	8	nalliah	nalliah	PROPN
ejpam-5383	293	9	.	.	PUNCT
ejpam-5383	294	1	super	super	INTJ
ejpam-5383	294	2	(	(	PUNCT
ejpam-5383	294	3	a	a	PRON
ejpam-5383	294	4	,	,	PUNCT
ejpam-5383	294	5	d)-edge	d)-edge	ADJ
ejpam-5383	294	6	antimagic	antimagic	ADJ
ejpam-5383	294	7	total	total	ADJ
ejpam-5383	294	8	labelings	labeling	NOUN
ejpam-5383	294	9	of	of	ADP
ejpam-5383	294	10	friendship	friendship	NOUN
ejpam-5383	294	11	graphs	graph	NOUN
ejpam-5383	294	12	.	.	PUNCT
ejpam-5383	295	1	australasian	australasian	ADJ
ejpam-5383	295	2	journal	journal	NOUN
ejpam-5383	295	3	of	of	ADP
ejpam-5383	295	4	combinatorics	combinatoric	NOUN
ejpam-5383	295	5	,	,	PUNCT
ejpam-5383	295	6	53:237–244	53:237–244	PROPN
ejpam-5383	295	7	,	,	PUNCT
ejpam-5383	295	8	2012	2012	NUM
ejpam-5383	295	9	.	.	PUNCT
ejpam-5383	296	1	[	[	X
ejpam-5383	296	2	4	4	NUM
ejpam-5383	296	3	]	]	X
ejpam-5383	296	4	s	s	VERB
ejpam-5383	296	5	arumugam	arumugam	ADJ
ejpam-5383	296	6	and	and	CCONJ
ejpam-5383	296	7	m	m	NOUN
ejpam-5383	296	8	nalliah	nalliah	PROPN
ejpam-5383	296	9	.	.	PUNCT
ejpam-5383	297	1	super	super	INTJ
ejpam-5383	297	2	(	(	PUNCT
ejpam-5383	297	3	a	a	PRON
ejpam-5383	297	4	,	,	PUNCT
ejpam-5383	297	5	d)-edge	d)-edge	ADJ
ejpam-5383	297	6	antimagic	antimagic	ADJ
ejpam-5383	297	7	total	total	ADJ
ejpam-5383	297	8	labelings	labeling	NOUN
ejpam-5383	297	9	of	of	ADP
ejpam-5383	297	10	friendship	friendship	NOUN
ejpam-5383	297	11	and	and	CCONJ
ejpam-5383	297	12	generalized	generalized	ADJ
ejpam-5383	297	13	friendship	friendship	NOUN
ejpam-5383	297	14	graphs	graph	NOUN
ejpam-5383	297	15	.	.	PUNCT
ejpam-5383	298	1	electronic	electronic	ADJ
ejpam-5383	298	2	notes	note	NOUN
ejpam-5383	298	3	in	in	ADP
ejpam-5383	298	4	discrete	discrete	ADJ
ejpam-5383	298	5	mathematics	mathematic	NOUN
ejpam-5383	298	6	,	,	PUNCT
ejpam-5383	298	7	48:103	48:103	NUM
ejpam-5383	298	8	–	–	PUNCT
ejpam-5383	298	9	110	110	NUM
ejpam-5383	298	10	,	,	PUNCT
ejpam-5383	298	11	2015	2015	NUM
ejpam-5383	298	12	.	.	PUNCT
ejpam-5383	299	1	[	[	X
ejpam-5383	299	2	5	5	NUM
ejpam-5383	299	3	]	]	X
ejpam-5383	299	4	s	s	VERB
ejpam-5383	299	5	arumugam	arumugam	ADJ
ejpam-5383	299	6	and	and	CCONJ
ejpam-5383	299	7	m	m	NOUN
ejpam-5383	299	8	nalliah	nalliah	PROPN
ejpam-5383	299	9	.	.	PUNCT
ejpam-5383	300	1	super	super	INTJ
ejpam-5383	300	2	(	(	PUNCT
ejpam-5383	300	3	a	a	PRON
ejpam-5383	300	4	,	,	PUNCT
ejpam-5383	300	5	3)-edge	3)-edge	NUM
ejpam-5383	300	6	-	-	PUNCT
ejpam-5383	300	7	antimagic	antimagic	ADJ
ejpam-5383	300	8	total	total	ADJ
ejpam-5383	300	9	labelings	labeling	NOUN
ejpam-5383	300	10	for	for	ADP
ejpam-5383	300	11	union	union	NOUN
ejpam-5383	300	12	of	of	ADP
ejpam-5383	300	13	two	two	NUM
ejpam-5383	300	14	stars	star	NOUN
ejpam-5383	300	15	.	.	PUNCT
ejpam-5383	301	1	utilitas	utilitas	PROPN
ejpam-5383	301	2	mathematica	mathematica	PROPN
ejpam-5383	301	3	,	,	PUNCT
ejpam-5383	301	4	101	101	NUM
ejpam-5383	301	5	,	,	PUNCT
ejpam-5383	301	6	2016	2016	NUM
ejpam-5383	301	7	.	.	PUNCT
ejpam-5383	302	1	[	[	X
ejpam-5383	302	2	6	6	NUM
ejpam-5383	302	3	]	]	X
ejpam-5383	302	4	s	s	VERB
ejpam-5383	302	5	arumugam	arumugam	NOUN
ejpam-5383	302	6	,	,	PUNCT
ejpam-5383	302	7	k	k	PROPN
ejpam-5383	302	8	premalatha	premalatha	PROPN
ejpam-5383	302	9	,	,	PUNCT
ejpam-5383	302	10	martin	martin	PROPN
ejpam-5383	302	11	bača	bača	PROPN
ejpam-5383	302	12	,	,	PUNCT
ejpam-5383	302	13	and	and	CCONJ
ejpam-5383	302	14	andrea	andrea	PROPN
ejpam-5383	302	15	semaničová-feňovč́ıková.	semaničová-feňovč́ıková.	PROPN
ejpam-5383	302	16	local	local	ADJ
ejpam-5383	302	17	antimagic	antimagic	ADJ
ejpam-5383	302	18	vertex	vertex	NOUN
ejpam-5383	302	19	coloring	coloring	NOUN
ejpam-5383	302	20	of	of	ADP
ejpam-5383	302	21	a	a	DET
ejpam-5383	302	22	graph	graph	NOUN
ejpam-5383	302	23	.	.	PUNCT
ejpam-5383	303	1	graphs	graph	NOUN
ejpam-5383	303	2	and	and	CCONJ
ejpam-5383	303	3	combinatorics	combinatoric	NOUN
ejpam-5383	303	4	,	,	PUNCT
ejpam-5383	303	5	33:275–285	33:275–285	NUM
ejpam-5383	303	6	,	,	PUNCT
ejpam-5383	303	7	2017	2017	NUM
ejpam-5383	303	8	.	.	PUNCT
ejpam-5383	304	1	[	[	X
ejpam-5383	304	2	7	7	X
ejpam-5383	304	3	]	]	X
ejpam-5383	304	4	martin	martin	PROPN
ejpam-5383	304	5	bača	bača	PROPN
ejpam-5383	304	6	,	,	PUNCT
ejpam-5383	304	7	andrea	andrea	PROPN
ejpam-5383	304	8	semaničová-feňovč́ıková	semaničová-feňovč́ıková	PROPN
ejpam-5383	304	9	,	,	PUNCT
ejpam-5383	304	10	and	and	CCONJ
ejpam-5383	304	11	tao	tao	PROPN
ejpam-5383	304	12	-	-	PUNCT
ejpam-5383	304	13	ming	ming	PROPN
ejpam-5383	304	14	wang	wang	PROPN
ejpam-5383	304	15	.	.	PUNCT
ejpam-5383	305	1	local	local	ADJ
ejpam-5383	305	2	antimagic	antimagic	ADJ
ejpam-5383	305	3	chromatic	chromatic	ADJ
ejpam-5383	305	4	number	number	NOUN
ejpam-5383	305	5	for	for	ADP
ejpam-5383	305	6	copies	copy	NOUN
ejpam-5383	305	7	of	of	ADP
ejpam-5383	305	8	graphs	graph	NOUN
ejpam-5383	305	9	.	.	PUNCT
ejpam-5383	306	1	mathematics	mathematic	NOUN
ejpam-5383	306	2	,	,	PUNCT
ejpam-5383	306	3	9(11):12–30	9(11):12–30	NUM
ejpam-5383	306	4	,	,	PUNCT
ejpam-5383	306	5	2021	2021	NUM
ejpam-5383	306	6	.	.	PUNCT
ejpam-5383	307	1	[	[	X
ejpam-5383	307	2	8	8	NUM
ejpam-5383	307	3	]	]	X
ejpam-5383	307	4	m.	m.	PROPN
ejpam-5383	307	5	behzad	behzad	PROPN
ejpam-5383	307	6	.	.	PUNCT
ejpam-5383	308	1	graphs	graph	NOUN
ejpam-5383	308	2	and	and	CCONJ
ejpam-5383	308	3	their	their	PRON
ejpam-5383	308	4	chromatic	chromatic	ADJ
ejpam-5383	308	5	number	number	NOUN
ejpam-5383	308	6	.	.	PUNCT
ejpam-5383	309	1	phd	phd	NOUN
ejpam-5383	309	2	thesis	thesis	PROPN
ejpam-5383	309	3	,	,	PUNCT
ejpam-5383	309	4	michigan	michigan	PROPN
ejpam-5383	309	5	state	state	PROPN
ejpam-5383	309	6	university	university	PROPN
ejpam-5383	309	7	,	,	PUNCT
ejpam-5383	309	8	1965	1965	NUM
ejpam-5383	309	9	.	.	PUNCT
ejpam-5383	310	1	[	[	X
ejpam-5383	310	2	9	9	NUM
ejpam-5383	310	3	]	]	X
ejpam-5383	310	4	gary	gary	PROPN
ejpam-5383	310	5	chartrand	chartrand	PROPN
ejpam-5383	310	6	,	,	PUNCT
ejpam-5383	310	7	linda	linda	PROPN
ejpam-5383	310	8	lesniak	lesniak	PROPN
ejpam-5383	310	9	,	,	PUNCT
ejpam-5383	310	10	and	and	CCONJ
ejpam-5383	310	11	ping	ping	PROPN
ejpam-5383	310	12	zhang	zhang	PROPN
ejpam-5383	310	13	.	.	PUNCT
ejpam-5383	310	14	graphs	graph	NOUN
ejpam-5383	310	15	and	and	CCONJ
ejpam-5383	310	16	digraphs	digraph	NOUN
ejpam-5383	310	17	.	.	PUNCT
ejpam-5383	311	1	crc	crc	PROPN
ejpam-5383	311	2	press	press	PROPN
ejpam-5383	311	3	,	,	PUNCT
ejpam-5383	311	4	chapman	chapman	PROPN
ejpam-5383	311	5	&	&	CCONJ
ejpam-5383	311	6	hall	hall	PROPN
ejpam-5383	311	7	london	london	PROPN
ejpam-5383	311	8	,	,	PUNCT
ejpam-5383	311	9	2015	2015	NUM
ejpam-5383	311	10	.	.	PUNCT
ejpam-5383	312	1	references	reference	NOUN
ejpam-5383	312	2	2840	2840	NUM
ejpam-5383	313	1	[	[	X
ejpam-5383	313	2	10	10	NUM
ejpam-5383	313	3	]	]	X
ejpam-5383	313	4	gary	gary	PROPN
ejpam-5383	313	5	chartrand	chartrand	PROPN
ejpam-5383	313	6	and	and	CCONJ
ejpam-5383	313	7	ping	ping	PROPN
ejpam-5383	313	8	zhang	zhang	PROPN
ejpam-5383	313	9	.	.	PUNCT
ejpam-5383	314	1	a	a	DET
ejpam-5383	314	2	first	first	ADJ
ejpam-5383	314	3	course	course	NOUN
ejpam-5383	314	4	in	in	ADP
ejpam-5383	314	5	graph	graph	NOUN
ejpam-5383	314	6	theory	theory	NOUN
ejpam-5383	314	7	.	.	PUNCT
ejpam-5383	315	1	dover	dover	PROPN
ejpam-5383	315	2	publication	publication	PROPN
ejpam-5383	315	3	,	,	PUNCT
ejpam-5383	315	4	inc	inc	PROPN
ejpam-5383	315	5	,	,	PUNCT
ejpam-5383	315	6	2013	2013	NUM
ejpam-5383	315	7	.	.	PUNCT
ejpam-5383	316	1	[	[	X
ejpam-5383	316	2	11	11	NUM
ejpam-5383	316	3	]	]	X
ejpam-5383	316	4	n.	n.	PROPN
ejpam-5383	316	5	hartsfield	hartsfield	PROPN
ejpam-5383	316	6	g.	g.	PROPN
ejpam-5383	316	7	ringel	ringel	PROPN
ejpam-5383	316	8	.	.	PUNCT
ejpam-5383	317	1	pearls	pearl	NOUN
ejpam-5383	317	2	in	in	ADP
ejpam-5383	317	3	graph	graph	NOUN
ejpam-5383	317	4	theory	theory	NOUN
ejpam-5383	317	5	.	.	PUNCT
ejpam-5383	318	1	academic	academic	ADJ
ejpam-5383	318	2	press	press	PROPN
ejpam-5383	318	3	,	,	PUNCT
ejpam-5383	318	4	usa	usa	PROPN
ejpam-5383	318	5	,	,	PUNCT
ejpam-5383	318	6	1994	1994	NUM
ejpam-5383	318	7	.	.	PUNCT
ejpam-5383	319	1	[	[	X
ejpam-5383	319	2	12	12	NUM
ejpam-5383	319	3	]	]	X
ejpam-5383	319	4	joseph	joseph	PROPN
ejpam-5383	319	5	a	a	DET
ejpam-5383	319	6	gallian	gallian	PROPN
ejpam-5383	319	7	.	.	PUNCT
ejpam-5383	320	1	a	a	DET
ejpam-5383	320	2	dynamic	dynamic	ADJ
ejpam-5383	320	3	survey	survey	NOUN
ejpam-5383	320	4	of	of	ADP
ejpam-5383	320	5	graph	graph	NOUN
ejpam-5383	320	6	labeling	labeling	NOUN
ejpam-5383	320	7	.	.	PUNCT
ejpam-5383	321	1	electronic	electronic	ADJ
ejpam-5383	321	2	journal	journal	NOUN
ejpam-5383	321	3	of	of	ADP
ejpam-5383	321	4	combinatorics	combinatoric	NOUN
ejpam-5383	321	5	,	,	PUNCT
ejpam-5383	321	6	6(25):4–623	6(25):4–623	NUM
ejpam-5383	321	7	,	,	PUNCT
ejpam-5383	321	8	2022	2022	NUM
ejpam-5383	321	9	.	.	PUNCT
ejpam-5383	322	1	[	[	X
ejpam-5383	322	2	13	13	NUM
ejpam-5383	322	3	]	]	PUNCT
ejpam-5383	322	4	a	a	DET
ejpam-5383	322	5	jeeva	jeeva	PROPN
ejpam-5383	322	6	,	,	PUNCT
ejpam-5383	322	7	maria	maria	PROPN
ejpam-5383	322	8	singaraj	singaraj	PROPN
ejpam-5383	322	9	rosary	rosary	PROPN
ejpam-5383	322	10	,	,	PUNCT
ejpam-5383	322	11	nasir	nasir	PROPN
ejpam-5383	322	12	ali	ali	PROPN
ejpam-5383	322	13	,	,	PUNCT
ejpam-5383	322	14	and	and	CCONJ
ejpam-5383	322	15	fikadu	fikadu	ADJ
ejpam-5383	322	16	tesgera	tesgera	NOUN
ejpam-5383	322	17	tolasa	tolasa	PROPN
ejpam-5383	322	18	.	.	PUNCT
ejpam-5383	323	1	advancements	advancement	NOUN
ejpam-5383	323	2	in	in	ADP
ejpam-5383	323	3	signal	signal	NOUN
ejpam-5383	323	4	processing	processing	NOUN
ejpam-5383	323	5	and	and	CCONJ
ejpam-5383	323	6	control	control	NOUN
ejpam-5383	323	7	systems	system	NOUN
ejpam-5383	323	8	using	use	VERB
ejpam-5383	323	9	z	z	PROPN
ejpam-5383	323	10	and	and	CCONJ
ejpam-5383	323	11	l	l	NOUN
ejpam-5383	323	12	-	-	PUNCT
ejpam-5383	323	13	transforms	transform	VERB
ejpam-5383	323	14	.	.	PUNCT
ejpam-5383	324	1	arxiv	arxiv	PROPN
ejpam-5383	324	2	preprint	preprint	NOUN
ejpam-5383	324	3	arxiv:2407.11063	arxiv:2407.11063	ADJ
ejpam-5383	324	4	,	,	PUNCT
ejpam-5383	324	5	2024	2024	NUM
ejpam-5383	324	6	.	.	PUNCT
ejpam-5383	325	1	[	[	X
ejpam-5383	325	2	14	14	NUM
ejpam-5383	325	3	]	]	X
ejpam-5383	325	4	a	a	DET
ejpam-5383	325	5	jeeva	jeeva	NOUN
ejpam-5383	325	6	,	,	PUNCT
ejpam-5383	325	7	r	r	PROPN
ejpam-5383	325	8	selvakumar	selvakumar	PROPN
ejpam-5383	325	9	,	,	PUNCT
ejpam-5383	325	10	and	and	CCONJ
ejpam-5383	325	11	m	m	PROPN
ejpam-5383	325	12	nalliah	nalliah	PROPN
ejpam-5383	325	13	.	.	PUNCT
ejpam-5383	326	1	the	the	DET
ejpam-5383	326	2	stable	stable	ADJ
ejpam-5383	326	3	b	b	X
ejpam-5383	326	4	-	-	PUNCT
ejpam-5383	326	5	chromatic	chromatic	ADJ
ejpam-5383	326	6	graphs	graph	NOUN
ejpam-5383	326	7	.	.	PUNCT
ejpam-5383	327	1	international	international	ADJ
ejpam-5383	327	2	journal	journal	NOUN
ejpam-5383	327	3	of	of	ADP
ejpam-5383	327	4	pure	pure	ADJ
ejpam-5383	327	5	and	and	CCONJ
ejpam-5383	327	6	applied	applied	ADJ
ejpam-5383	327	7	mathematics	mathematic	NOUN
ejpam-5383	327	8	,	,	PUNCT
ejpam-5383	327	9	106(8):7–12	106(8):7–12	NUM
ejpam-5383	327	10	,	,	PUNCT
ejpam-5383	327	11	2016	2016	NUM
ejpam-5383	327	12	.	.	PUNCT
ejpam-5383	328	1	[	[	X
ejpam-5383	328	2	15	15	NUM
ejpam-5383	328	3	]	]	X
ejpam-5383	328	4	a	a	DET
ejpam-5383	328	5	jeeva	jeeva	NOUN
ejpam-5383	328	6	,	,	PUNCT
ejpam-5383	328	7	r	r	PROPN
ejpam-5383	328	8	selvakumar	selvakumar	PROPN
ejpam-5383	328	9	,	,	PUNCT
ejpam-5383	328	10	and	and	CCONJ
ejpam-5383	328	11	m	m	PROPN
ejpam-5383	328	12	nalliah	nalliah	PROPN
ejpam-5383	328	13	.	.	PUNCT
ejpam-5383	329	1	the	the	DET
ejpam-5383	329	2	b	b	NOUN
ejpam-5383	329	3	-	-	PUNCT
ejpam-5383	329	4	chromatic	chromatic	ADJ
ejpam-5383	329	5	number	number	NOUN
ejpam-5383	329	6	of	of	ADP
ejpam-5383	329	7	some	some	DET
ejpam-5383	329	8	special	special	ADJ
ejpam-5383	329	9	families	family	NOUN
ejpam-5383	329	10	of	of	ADP
ejpam-5383	329	11	graphs	graph	NOUN
ejpam-5383	329	12	.	.	PUNCT
ejpam-5383	330	1	iop	iop	PROPN
ejpam-5383	330	2	conference	conference	PROPN
ejpam-5383	330	3	series	series	PROPN
ejpam-5383	330	4	:	:	PUNCT
ejpam-5383	330	5	materials	material	NOUN
ejpam-5383	330	6	science	science	NOUN
ejpam-5383	330	7	and	and	CCONJ
ejpam-5383	330	8	engineering	engineering	NOUN
ejpam-5383	330	9	,	,	PUNCT
ejpam-5383	330	10	263(4	263(4	NUM
ejpam-5383	330	11	)	)	PUNCT
ejpam-5383	330	12	,	,	PUNCT
ejpam-5383	330	13	2017	2017	NUM
ejpam-5383	330	14	.	.	PUNCT
ejpam-5383	331	1	[	[	X
ejpam-5383	331	2	16	16	NUM
ejpam-5383	331	3	]	]	X
ejpam-5383	331	4	a	a	DET
ejpam-5383	331	5	jeeva	jeeva	NOUN
ejpam-5383	331	6	,	,	PUNCT
ejpam-5383	331	7	r	r	PROPN
ejpam-5383	331	8	selvakumar	selvakumar	PROPN
ejpam-5383	331	9	,	,	PUNCT
ejpam-5383	331	10	and	and	CCONJ
ejpam-5383	331	11	m	m	PROPN
ejpam-5383	331	12	nalliah	nalliah	PROPN
ejpam-5383	331	13	.	.	PUNCT
ejpam-5383	332	1	families	family	NOUN
ejpam-5383	332	2	of	of	ADP
ejpam-5383	332	3	greater	great	ADJ
ejpam-5383	332	4	achromatic	achromatic	ADJ
ejpam-5383	332	5	graphs	graph	NOUN
ejpam-5383	332	6	.	.	PUNCT
ejpam-5383	333	1	indian	indian	ADJ
ejpam-5383	333	2	journal	journal	PROPN
ejpam-5383	333	3	of	of	ADP
ejpam-5383	333	4	mathematics	mathematics	PROPN
ejpam-5383	333	5	,	,	PUNCT
ejpam-5383	333	6	59(2):255–261	59(2):255–261	NOUN
ejpam-5383	333	7	,	,	PUNCT
ejpam-5383	333	8	2017	2017	NUM
ejpam-5383	333	9	.	.	PUNCT
ejpam-5383	334	1	[	[	X
ejpam-5383	334	2	17	17	NUM
ejpam-5383	334	3	]	]	X
ejpam-5383	334	4	a	a	DET
ejpam-5383	334	5	jeeva	jeeva	NOUN
ejpam-5383	334	6	,	,	PUNCT
ejpam-5383	334	7	r	r	PROPN
ejpam-5383	334	8	selvakumar	selvakumar	PROPN
ejpam-5383	334	9	,	,	PUNCT
ejpam-5383	334	10	and	and	CCONJ
ejpam-5383	334	11	m	m	PROPN
ejpam-5383	334	12	nalliah	nalliah	PROPN
ejpam-5383	334	13	.	.	PUNCT
ejpam-5383	335	1	the	the	DET
ejpam-5383	335	2	b	b	NOUN
ejpam-5383	335	3	-	-	PUNCT
ejpam-5383	335	4	chromatic	chromatic	ADJ
ejpam-5383	335	5	number	number	NOUN
ejpam-5383	335	6	of	of	ADP
ejpam-5383	335	7	some	some	DET
ejpam-5383	335	8	standard	standard	ADJ
ejpam-5383	335	9	graphs	graph	NOUN
ejpam-5383	335	10	.	.	PUNCT
ejpam-5383	336	1	in	in	ADP
ejpam-5383	336	2	applied	applied	ADJ
ejpam-5383	336	3	mathematics	mathematic	NOUN
ejpam-5383	336	4	and	and	CCONJ
ejpam-5383	336	5	scientific	scientific	ADJ
ejpam-5383	336	6	computing	computing	NOUN
ejpam-5383	336	7	:	:	PUNCT
ejpam-5383	336	8	international	international	ADJ
ejpam-5383	336	9	conference	conference	NOUN
ejpam-5383	336	10	on	on	ADP
ejpam-5383	336	11	advances	advance	NOUN
ejpam-5383	336	12	in	in	ADP
ejpam-5383	336	13	mathematical	mathematical	ADJ
ejpam-5383	336	14	sciences	science	NOUN
ejpam-5383	336	15	,	,	PUNCT
ejpam-5383	336	16	2:573–580	2:573–580	NUM
ejpam-5383	336	17	,	,	PUNCT
ejpam-5383	336	18	2019	2019	NUM
ejpam-5383	336	19	.	.	PUNCT
ejpam-5383	337	1	[	[	X
ejpam-5383	337	2	18	18	NUM
ejpam-5383	337	3	]	]	X
ejpam-5383	337	4	gc	gc	PROPN
ejpam-5383	337	5	lau	lau	PROPN
ejpam-5383	337	6	,	,	PUNCT
ejpam-5383	337	7	k	k	PROPN
ejpam-5383	337	8	premalatha	premalatha	PROPN
ejpam-5383	337	9	,	,	PUNCT
ejpam-5383	337	10	wc	wc	PROPN
ejpam-5383	337	11	shiu	shiu	PROPN
ejpam-5383	337	12	,	,	PUNCT
ejpam-5383	337	13	and	and	CCONJ
ejpam-5383	337	14	m	m	PROPN
ejpam-5383	337	15	nalliah	nalliah	PROPN
ejpam-5383	337	16	.	.	PUNCT
ejpam-5383	338	1	on	on	ADP
ejpam-5383	338	2	local	local	ADJ
ejpam-5383	338	3	antimagic	antimagic	ADJ
ejpam-5383	338	4	chromatic	chromatic	ADJ
ejpam-5383	338	5	numbers	number	NOUN
ejpam-5383	338	6	of	of	ADP
ejpam-5383	338	7	circulant	circulant	ADJ
ejpam-5383	338	8	graphs	graph	NOUN
ejpam-5383	338	9	join	join	VERB
ejpam-5383	338	10	with	with	ADP
ejpam-5383	338	11	null	null	ADJ
ejpam-5383	338	12	graphs	graph	NOUN
ejpam-5383	338	13	or	or	CCONJ
ejpam-5383	338	14	cycles	cycle	NOUN
ejpam-5383	338	15	.	.	PUNCT
ejpam-5383	339	1	proyecciones	proyeccione	NOUN
ejpam-5383	339	2	(	(	PUNCT
ejpam-5383	339	3	antofagasta	antofagasta	PROPN
ejpam-5383	339	4	)	)	PUNCT
ejpam-5383	339	5	,	,	PUNCT
ejpam-5383	339	6	42(5):1307–1332	42(5):1307–1332	NUM
ejpam-5383	339	7	,	,	PUNCT
ejpam-5383	339	8	2023	2023	NUM
ejpam-5383	339	9	.	.	PUNCT
ejpam-5383	340	1	[	[	X
ejpam-5383	340	2	19	19	NUM
ejpam-5383	340	3	]	]	X
ejpam-5383	340	4	gee	gee	PROPN
ejpam-5383	340	5	-	-	PUNCT
ejpam-5383	340	6	choon	choon	PROPN
ejpam-5383	340	7	lau	lau	PROPN
ejpam-5383	340	8	and	and	CCONJ
ejpam-5383	340	9	m	m	PROPN
ejpam-5383	340	10	nalliah	nalliah	PROPN
ejpam-5383	340	11	.	.	PUNCT
ejpam-5383	341	1	on	on	ADP
ejpam-5383	341	2	local	local	ADJ
ejpam-5383	341	3	antimagic	antimagic	ADJ
ejpam-5383	341	4	chromatic	chromatic	ADJ
ejpam-5383	341	5	number	number	NOUN
ejpam-5383	341	6	of	of	ADP
ejpam-5383	341	7	a	a	DET
ejpam-5383	341	8	corona	corona	NOUN
ejpam-5383	341	9	product	product	NOUN
ejpam-5383	341	10	graph	graph	NOUN
ejpam-5383	341	11	.	.	PUNCT
ejpam-5383	342	1	arxiv	arxiv	PROPN
ejpam-5383	342	2	preprint	preprint	NOUN
ejpam-5383	342	3	arxiv:2203.09906	arxiv:2203.09906	PROPN
ejpam-5383	342	4	,	,	PUNCT
ejpam-5383	342	5	2022	2022	NUM
ejpam-5383	342	6	.	.	PUNCT
ejpam-5383	343	1	[	[	X
ejpam-5383	343	2	20	20	NUM
ejpam-5383	343	3	]	]	X
ejpam-5383	343	4	gee	gee	PROPN
ejpam-5383	343	5	-	-	PUNCT
ejpam-5383	343	6	choon	choon	PROPN
ejpam-5383	343	7	lau	lau	PROPN
ejpam-5383	343	8	,	,	PUNCT
ejpam-5383	343	9	wai	wai	PROPN
ejpam-5383	343	10	chee	chee	PROPN
ejpam-5383	343	11	shiu	shiu	PROPN
ejpam-5383	343	12	,	,	PUNCT
ejpam-5383	343	13	m	m	VERB
ejpam-5383	343	14	nalliah	nalliah	PROPN
ejpam-5383	343	15	,	,	PUNCT
ejpam-5383	343	16	and	and	CCONJ
ejpam-5383	343	17	k	k	PROPN
ejpam-5383	343	18	premalatha	premalatha	PROPN
ejpam-5383	343	19	.	.	PUNCT
ejpam-5383	344	1	construction	construction	NOUN
ejpam-5383	344	2	of	of	ADP
ejpam-5383	344	3	local	local	ADJ
ejpam-5383	344	4	antimagic	antimagic	ADJ
ejpam-5383	344	5	3	3	NUM
ejpam-5383	344	6	-	-	PUNCT
ejpam-5383	344	7	colorable	colorable	ADJ
ejpam-5383	344	8	graphs	graph	NOUN
ejpam-5383	344	9	of	of	ADP
ejpam-5383	344	10	fixed	fix	VERB
ejpam-5383	344	11	even	even	ADV
ejpam-5383	344	12	size	size	NOUN
ejpam-5383	344	13	–	–	PUNCT
ejpam-5383	344	14	matrix	matrix	NOUN
ejpam-5383	344	15	approach	approach	NOUN
ejpam-5383	344	16	.	.	PUNCT
ejpam-5383	345	1	arxiv	arxiv	PROPN
ejpam-5383	345	2	preprint	preprint	PROPN
ejpam-5383	345	3	arxiv:2404.18049	arxiv:2404.18049	PROPN
ejpam-5383	345	4	,	,	PUNCT
ejpam-5383	345	5	2024	2024	NUM
ejpam-5383	345	6	.	.	PUNCT
ejpam-5383	346	1	[	[	X
ejpam-5383	346	2	21	21	NUM
ejpam-5383	346	3	]	]	X
ejpam-5383	346	4	gee	gee	PROPN
ejpam-5383	346	5	-	-	PUNCT
ejpam-5383	346	6	choon	choon	PROPN
ejpam-5383	346	7	lau	lau	PROPN
ejpam-5383	346	8	,	,	PUNCT
ejpam-5383	346	9	wai	wai	PROPN
ejpam-5383	346	10	chee	chee	PROPN
ejpam-5383	346	11	shiu	shiu	PROPN
ejpam-5383	346	12	,	,	PUNCT
ejpam-5383	346	13	k	k	PROPN
ejpam-5383	346	14	premalatha	premalatha	PROPN
ejpam-5383	346	15	,	,	PUNCT
ejpam-5383	346	16	and	and	CCONJ
ejpam-5383	346	17	m	m	PROPN
ejpam-5383	346	18	nalliah	nalliah	PROPN
ejpam-5383	346	19	.	.	PUNCT
ejpam-5383	347	1	constructions	construction	NOUN
ejpam-5383	347	2	of	of	ADP
ejpam-5383	347	3	local	local	ADJ
ejpam-5383	347	4	antimagic	antimagic	ADJ
ejpam-5383	347	5	3	3	NUM
ejpam-5383	347	6	-	-	PUNCT
ejpam-5383	347	7	colorable	colorable	ADJ
ejpam-5383	347	8	graphs	graph	NOUN
ejpam-5383	347	9	of	of	ADP
ejpam-5383	347	10	fixed	fix	VERB
ejpam-5383	347	11	odd	odd	ADJ
ejpam-5383	347	12	size	size	NOUN
ejpam-5383	347	13	—	—	PUNCT
ejpam-5383	347	14	matrix	matrix	NOUN
ejpam-5383	347	15	approach	approach	NOUN
ejpam-5383	347	16	.	.	PUNCT
ejpam-5383	348	1	arxiv	arxiv	PROPN
ejpam-5383	348	2	preprint	preprint	NOUN
ejpam-5383	348	3	arxiv:2403.16484	arxiv:2403.16484	NOUN
ejpam-5383	348	4	,	,	PUNCT
ejpam-5383	348	5	2024	2024	NUM
ejpam-5383	348	6	.	.	PUNCT
ejpam-5383	349	1	[	[	X
ejpam-5383	349	2	22	22	NUM
ejpam-5383	349	3	]	]	X
ejpam-5383	349	4	gee	gee	PROPN
ejpam-5383	349	5	-	-	PUNCT
ejpam-5383	349	6	choon	choon	PROPN
ejpam-5383	349	7	lau	lau	PROPN
ejpam-5383	349	8	,	,	PUNCT
ejpam-5383	349	9	wai	wai	PROPN
ejpam-5383	349	10	-	-	PUNCT
ejpam-5383	349	11	chee	chee	NOUN
ejpam-5383	349	12	shiu	shiu	NOUN
ejpam-5383	349	13	,	,	PUNCT
ejpam-5383	349	14	k	k	PROPN
ejpam-5383	349	15	premalatha	premalatha	PROPN
ejpam-5383	349	16	,	,	PUNCT
ejpam-5383	349	17	ruixue	ruixue	PROPN
ejpam-5383	349	18	zhang	zhang	PROPN
ejpam-5383	349	19	,	,	PUNCT
ejpam-5383	349	20	and	and	CCONJ
ejpam-5383	349	21	m	m	PROPN
ejpam-5383	349	22	nalliah	nalliah	PROPN
ejpam-5383	349	23	.	.	PUNCT
ejpam-5383	350	1	a	a	DET
ejpam-5383	350	2	note	note	NOUN
ejpam-5383	350	3	on	on	ADP
ejpam-5383	350	4	local	local	ADJ
ejpam-5383	350	5	antimagic	antimagic	ADJ
ejpam-5383	350	6	chromatic	chromatic	ADJ
ejpam-5383	350	7	number	number	NOUN
ejpam-5383	350	8	of	of	ADP
ejpam-5383	350	9	lexicographic	lexicographic	ADJ
ejpam-5383	350	10	product	product	NOUN
ejpam-5383	350	11	graphs	graph	NOUN
ejpam-5383	350	12	.	.	PUNCT
ejpam-5383	351	1	arxiv	arxiv	PROPN
ejpam-5383	351	2	preprint	preprint	VERB
ejpam-5383	351	3	arxiv:2208.14707	arxiv:2208.14707	NOUN
ejpam-5383	351	4	,	,	PUNCT
ejpam-5383	351	5	2022	2022	NUM
ejpam-5383	351	6	.	.	PUNCT
ejpam-5383	352	1	[	[	X
ejpam-5383	352	2	23	23	NUM
ejpam-5383	352	3	]	]	X
ejpam-5383	352	4	gee	gee	PROPN
ejpam-5383	352	5	-	-	PUNCT
ejpam-5383	352	6	choon	choon	PROPN
ejpam-5383	352	7	lau	lau	PROPN
ejpam-5383	352	8	,	,	PUNCT
ejpam-5383	352	9	wai	wai	PROPN
ejpam-5383	352	10	-	-	PUNCT
ejpam-5383	352	11	chee	chee	NOUN
ejpam-5383	352	12	shiu	shiu	NOUN
ejpam-5383	352	13	,	,	PUNCT
ejpam-5383	352	14	ruixue	ruixue	PROPN
ejpam-5383	352	15	zhang	zhang	PROPN
ejpam-5383	352	16	,	,	PUNCT
ejpam-5383	352	17	k	k	PROPN
ejpam-5383	352	18	premalatha	premalatha	PROPN
ejpam-5383	352	19	,	,	PUNCT
ejpam-5383	352	20	and	and	CCONJ
ejpam-5383	352	21	m	m	PROPN
ejpam-5383	352	22	nalliah	nalliah	PROPN
ejpam-5383	352	23	.	.	PUNCT
ejpam-5383	353	1	complete	complete	ADJ
ejpam-5383	353	2	characterization	characterization	NOUN
ejpam-5383	353	3	of	of	ADP
ejpam-5383	353	4	s	s	NOUN
ejpam-5383	353	5	-	-	PUNCT
ejpam-5383	353	6	bridge	bridge	NOUN
ejpam-5383	353	7	graphs	graph	NOUN
ejpam-5383	353	8	with	with	ADP
ejpam-5383	353	9	local	local	ADJ
ejpam-5383	353	10	antimagic	antimagic	ADJ
ejpam-5383	353	11	chromatic	chromatic	ADJ
ejpam-5383	353	12	number	number	NOUN
ejpam-5383	353	13	2	2	NUM
ejpam-5383	353	14	.	.	PUNCT
ejpam-5383	353	15	arxiv	arxiv	PROPN
ejpam-5383	353	16	preprint	preprint	NOUN
ejpam-5383	353	17	arxiv:2210.04394	arxiv:2210.04394	NOUN
ejpam-5383	353	18	,	,	PUNCT
ejpam-5383	353	19	2022	2022	NUM
ejpam-5383	353	20	.	.	PUNCT
ejpam-5383	354	1	references	reference	NOUN
ejpam-5383	354	2	2841	2841	NUM
ejpam-5383	355	1	[	[	X
ejpam-5383	355	2	24	24	NUM
ejpam-5383	355	3	]	]	X
ejpam-5383	355	4	m	m	VERB
ejpam-5383	355	5	nalliah	nalliah	PROPN
ejpam-5383	355	6	.	.	PUNCT
ejpam-5383	356	1	antimagic	antimagic	ADJ
ejpam-5383	356	2	labeling	labeling	NOUN
ejpam-5383	356	3	of	of	ADP
ejpam-5383	356	4	graphs	graph	NOUN
ejpam-5383	356	5	and	and	CCONJ
ejpam-5383	356	6	digraphs	digraph	NOUN
ejpam-5383	356	7	.	.	PUNCT
ejpam-5383	357	1	phd	phd	NOUN
ejpam-5383	357	2	thesis	thesis	PROPN
ejpam-5383	357	3	,	,	PUNCT
ejpam-5383	357	4	kalasalingam	kalasalingam	PROPN
ejpam-5383	357	5	university	university	NOUN
ejpam-5383	357	6	,	,	PUNCT
ejpam-5383	357	7	tamilnadu	tamilnadu	NOUN
ejpam-5383	357	8	,	,	PUNCT
ejpam-5383	357	9	india	india	PROPN
ejpam-5383	357	10	,	,	PUNCT
ejpam-5383	357	11	2013	2013	NUM
ejpam-5383	357	12	.	.	PUNCT
ejpam-5383	358	1	[	[	X
ejpam-5383	358	2	25	25	NUM
ejpam-5383	358	3	]	]	X
ejpam-5383	358	4	m	m	VERB
ejpam-5383	358	5	nalliah	nalliah	PROPN
ejpam-5383	358	6	.	.	PUNCT
ejpam-5383	359	1	further	further	ADJ
ejpam-5383	359	2	results	result	NOUN
ejpam-5383	359	3	on	on	ADP
ejpam-5383	359	4	antimagic	antimagic	ADJ
ejpam-5383	359	5	digraphs	digraph	NOUN
ejpam-5383	359	6	.	.	PUNCT
ejpam-5383	360	1	iosr	iosr	ADJ
ejpam-5383	360	2	journal	journal	PROPN
ejpam-5383	360	3	of	of	ADP
ejpam-5383	360	4	mathematics	mathematics	PROPN
ejpam-5383	360	5	(	(	PUNCT
ejpam-5383	360	6	iosr	iosr	PROPN
ejpam-5383	360	7	-	-	PUNCT
ejpam-5383	360	8	jm	jm	NOUN
ejpam-5383	360	9	)	)	PUNCT
ejpam-5383	360	10	,	,	PUNCT
ejpam-5383	360	11	11(5):27–32	11(5):27–32	NUM
ejpam-5383	360	12	,	,	PUNCT
ejpam-5383	360	13	2015	2015	NUM
ejpam-5383	360	14	.	.	PUNCT
ejpam-5383	361	1	[	[	X
ejpam-5383	361	2	26	26	NUM
ejpam-5383	361	3	]	]	X
ejpam-5383	361	4	m	m	VERB
ejpam-5383	361	5	nalliah	nalliah	PROPN
ejpam-5383	361	6	.	.	PUNCT
ejpam-5383	362	1	antimagic	antimagic	ADJ
ejpam-5383	362	2	labeling	labeling	NOUN
ejpam-5383	362	3	of	of	ADP
ejpam-5383	362	4	digraphs	digraph	NOUN
ejpam-5383	362	5	.	.	PUNCT
ejpam-5383	363	1	journal	journal	NOUN
ejpam-5383	363	2	of	of	ADP
ejpam-5383	363	3	the	the	DET
ejpam-5383	363	4	indonesian	indonesian	PROPN
ejpam-5383	363	5	mathematical	mathematical	ADJ
ejpam-5383	363	6	society	society	NOUN
ejpam-5383	363	7	,	,	PUNCT
ejpam-5383	363	8	22(1):61–69	22(1):61–69	NUM
ejpam-5383	363	9	,	,	PUNCT
ejpam-5383	363	10	2016	2016	NUM
ejpam-5383	363	11	.	.	PUNCT
ejpam-5383	364	1	[	[	X
ejpam-5383	364	2	27	27	NUM
ejpam-5383	364	3	]	]	X
ejpam-5383	364	4	m	m	VERB
ejpam-5383	364	5	nalliah	nalliah	PROPN
ejpam-5383	364	6	and	and	CCONJ
ejpam-5383	364	7	s	s	VERB
ejpam-5383	364	8	arumugam	arumugam	NOUN
ejpam-5383	364	9	.	.	PUNCT
ejpam-5383	365	1	super	super	INTJ
ejpam-5383	365	2	(	(	PUNCT
ejpam-5383	365	3	a	a	PRON
ejpam-5383	365	4	,	,	PUNCT
ejpam-5383	365	5	d)-edge	d)-edge	NOUN
ejpam-5383	365	6	-	-	PUNCT
ejpam-5383	365	7	antimagic	antimagic	ADJ
ejpam-5383	365	8	total	total	ADJ
ejpam-5383	365	9	labelings	labeling	NOUN
ejpam-5383	365	10	of	of	ADP
ejpam-5383	365	11	generalized	generalized	ADJ
ejpam-5383	365	12	friendship	friendship	NOUN
ejpam-5383	365	13	graphs	graph	NOUN
ejpam-5383	365	14	.	.	PUNCT
ejpam-5383	366	1	journal	journal	NOUN
ejpam-5383	366	2	of	of	ADP
ejpam-5383	366	3	combinatorial	combinatorial	ADJ
ejpam-5383	366	4	mathematics	mathematic	NOUN
ejpam-5383	366	5	and	and	CCONJ
ejpam-5383	366	6	combinatorial	combinatorial	ADJ
ejpam-5383	366	7	computing	computing	NOUN
ejpam-5383	366	8	,	,	PUNCT
ejpam-5383	366	9	84:81–90	84:81–90	NUM
ejpam-5383	366	10	,	,	PUNCT
ejpam-5383	366	11	2013	2013	NUM
ejpam-5383	366	12	.	.	PUNCT
ejpam-5383	367	1	[	[	X
ejpam-5383	367	2	28	28	NUM
ejpam-5383	367	3	]	]	X
ejpam-5383	367	4	m	m	VERB
ejpam-5383	367	5	nalliah	nalliah	PROPN
ejpam-5383	367	6	and	and	CCONJ
ejpam-5383	367	7	s	s	VERB
ejpam-5383	367	8	arumugam	arumugam	NOUN
ejpam-5383	367	9	.	.	PUNCT
ejpam-5383	368	1	super	super	INTJ
ejpam-5383	368	2	(	(	PUNCT
ejpam-5383	368	3	a	a	DET
ejpam-5383	368	4	,	,	PUNCT
ejpam-5383	368	5	3)-edge	3)-edge	NUM
ejpam-5383	368	6	antimagic	antimagic	ADJ
ejpam-5383	368	7	total	total	ADJ
ejpam-5383	368	8	labeling	labeling	NOUN
ejpam-5383	368	9	for	for	ADP
ejpam-5383	368	10	union	union	NOUN
ejpam-5383	368	11	of	of	ADP
ejpam-5383	368	12	two	two	NUM
ejpam-5383	368	13	stars	star	NOUN
ejpam-5383	368	14	.	.	PUNCT
ejpam-5383	369	1	theoretical	theoretical	ADJ
ejpam-5383	369	2	computer	computer	NOUN
ejpam-5383	369	3	science	science	NOUN
ejpam-5383	369	4	and	and	CCONJ
ejpam-5383	369	5	discrete	discrete	ADJ
ejpam-5383	369	6	mathematics	mathematic	NOUN
ejpam-5383	369	7	,	,	PUNCT
ejpam-5383	369	8	10398:203–211	10398:203–211	PROPN
ejpam-5383	369	9	,	,	PUNCT
ejpam-5383	369	10	2017	2017	NUM
ejpam-5383	369	11	.	.	PUNCT
ejpam-5383	370	1	[	[	X
ejpam-5383	370	2	29	29	NUM
ejpam-5383	370	3	]	]	X
ejpam-5383	370	4	m	m	VERB
ejpam-5383	370	5	nalliah	nalliah	PROPN
ejpam-5383	370	6	,	,	PUNCT
ejpam-5383	370	7	r	r	NOUN
ejpam-5383	370	8	shankar	shankar	NOUN
ejpam-5383	370	9	,	,	PUNCT
ejpam-5383	370	10	and	and	CCONJ
ejpam-5383	370	11	tao	tao	PROPN
ejpam-5383	370	12	-	-	PUNCT
ejpam-5383	370	13	ming	ming	PROPN
ejpam-5383	370	14	wang	wang	PROPN
ejpam-5383	370	15	.	.	PUNCT
ejpam-5383	371	1	local	local	ADJ
ejpam-5383	371	2	antimagic	antimagic	ADJ
ejpam-5383	371	3	vertex	vertex	NOUN
ejpam-5383	371	4	coloring	color	VERB
ejpam-5383	371	5	for	for	ADP
ejpam-5383	371	6	generalized	generalized	ADJ
ejpam-5383	371	7	friendship	friendship	NOUN
ejpam-5383	371	8	graphs	graph	NOUN
ejpam-5383	371	9	.	.	PUNCT
ejpam-5383	372	1	journal	journal	NOUN
ejpam-5383	372	2	of	of	ADP
ejpam-5383	372	3	discrete	discrete	ADJ
ejpam-5383	372	4	mathematical	mathematical	ADJ
ejpam-5383	372	5	sciences	science	NOUN
ejpam-5383	372	6	and	and	CCONJ
ejpam-5383	372	7	cryptography	cryptography	NOUN
ejpam-5383	372	8	,	,	PUNCT
ejpam-5383	372	9	pages	page	NOUN
ejpam-5383	372	10	1–16	1–16	PROPN
ejpam-5383	372	11	,	,	PUNCT
ejpam-5383	372	12	2022	2022	NUM
ejpam-5383	372	13	.	.	PUNCT
ejpam-5383	373	1	[	[	X
ejpam-5383	373	2	30	30	NUM
ejpam-5383	373	3	]	]	X
ejpam-5383	373	4	k	k	PROPN
ejpam-5383	373	5	premalatha	premalatha	NOUN
ejpam-5383	373	6	,	,	PUNCT
ejpam-5383	373	7	gee	gee	NOUN
ejpam-5383	373	8	-	-	PUNCT
ejpam-5383	373	9	choon	choon	PROPN
ejpam-5383	373	10	lau	lau	PROPN
ejpam-5383	373	11	,	,	PUNCT
ejpam-5383	373	12	s	s	VERB
ejpam-5383	373	13	arumugam	arumugam	NOUN
ejpam-5383	373	14	,	,	PUNCT
ejpam-5383	373	15	and	and	CCONJ
ejpam-5383	373	16	wc	wc	PROPN
ejpam-5383	373	17	shiu	shiu	PROPN
ejpam-5383	373	18	.	.	PUNCT
ejpam-5383	374	1	on	on	ADP
ejpam-5383	374	2	local	local	ADJ
ejpam-5383	374	3	antimagic	antimagic	ADJ
ejpam-5383	374	4	chromatic	chromatic	ADJ
ejpam-5383	374	5	number	number	NOUN
ejpam-5383	374	6	of	of	ADP
ejpam-5383	374	7	various	various	ADJ
ejpam-5383	374	8	join	join	NOUN
ejpam-5383	374	9	graphs	graph	NOUN
ejpam-5383	374	10	.	.	PUNCT
ejpam-5383	375	1	communications	communication	NOUN
ejpam-5383	375	2	in	in	ADP
ejpam-5383	375	3	combinatorics	combinatoric	NOUN
ejpam-5383	375	4	and	and	CCONJ
ejpam-5383	375	5	optimization	optimization	NOUN
ejpam-5383	375	6	,	,	PUNCT
ejpam-5383	375	7	8(4):693–714	8(4):693–714	NUM
ejpam-5383	375	8	,	,	PUNCT
ejpam-5383	375	9	2023	2023	NUM
ejpam-5383	375	10	.	.	PUNCT
ejpam-5383	376	1	[	[	X
ejpam-5383	376	2	31	31	NUM
ejpam-5383	376	3	]	]	X
ejpam-5383	376	4	s	s	PART
ejpam-5383	376	5	rajkumar	rajkumar	PROPN
ejpam-5383	376	6	.	.	PUNCT
ejpam-5383	377	1	a	a	DET
ejpam-5383	377	2	study	study	NOUN
ejpam-5383	377	3	on	on	ADP
ejpam-5383	377	4	antimagic	antimagic	ADJ
ejpam-5383	377	5	total	total	ADJ
ejpam-5383	377	6	labeling	labeling	NOUN
ejpam-5383	377	7	and	and	CCONJ
ejpam-5383	377	8	local	local	ADJ
ejpam-5383	377	9	edge	edge	NOUN
ejpam-5383	377	10	antimagic	antimagic	ADJ
ejpam-5383	377	11	coloring	coloring	NOUN
ejpam-5383	377	12	of	of	ADP
ejpam-5383	377	13	graphs	graph	NOUN
ejpam-5383	377	14	.	.	PUNCT
ejpam-5383	378	1	phd	phd	NOUN
ejpam-5383	378	2	thesis	thesis	PROPN
ejpam-5383	378	3	,	,	PUNCT
ejpam-5383	378	4	vellore	vellore	PROPN
ejpam-5383	378	5	institute	institute	PROPN
ejpam-5383	378	6	of	of	ADP
ejpam-5383	378	7	technology	technology	PROPN
ejpam-5383	378	8	,	,	PUNCT
ejpam-5383	378	9	vellore	vellore	NOUN
ejpam-5383	378	10	,	,	PUNCT
ejpam-5383	378	11	tamilnadu	tamilnadu	PROPN
ejpam-5383	378	12	,	,	PUNCT
ejpam-5383	378	13	india	india	PROPN
ejpam-5383	378	14	,	,	PUNCT
ejpam-5383	378	15	2024	2024	NUM
ejpam-5383	378	16	.	.	PUNCT
ejpam-5383	379	1	[	[	X
ejpam-5383	379	2	32	32	NUM
ejpam-5383	379	3	]	]	PUNCT
ejpam-5383	379	4	s	s	PART
ejpam-5383	379	5	rajkumar	rajkumar	PROPN
ejpam-5383	379	6	and	and	CCONJ
ejpam-5383	379	7	m	m	PROPN
ejpam-5383	379	8	nalliah	nalliah	PROPN
ejpam-5383	379	9	.	.	PUNCT
ejpam-5383	380	1	on	on	ADP
ejpam-5383	380	2	local	local	ADJ
ejpam-5383	380	3	edge	edge	NOUN
ejpam-5383	380	4	antimagic	antimagic	ADJ
ejpam-5383	380	5	chromatic	chromatic	ADJ
ejpam-5383	380	6	number	number	NOUN
ejpam-5383	380	7	of	of	ADP
ejpam-5383	380	8	graphs	graph	NOUN
ejpam-5383	380	9	.	.	PUNCT
ejpam-5383	381	1	proyecciones	proyeccione	NOUN
ejpam-5383	381	2	(	(	PUNCT
ejpam-5383	381	3	antofagasta	antofagasta	PROPN
ejpam-5383	381	4	)	)	PUNCT
ejpam-5383	381	5	,	,	PUNCT
ejpam-5383	381	6	41(6):1397–1412	41(6):1397–1412	NUM
ejpam-5383	381	7	,	,	PUNCT
ejpam-5383	381	8	2022	2022	NUM
ejpam-5383	381	9	.	.	PUNCT
ejpam-5383	382	1	[	[	X
ejpam-5383	382	2	33	33	NUM
ejpam-5383	382	3	]	]	PUNCT
ejpam-5383	382	4	s	s	PART
ejpam-5383	382	5	rajkumar	rajkumar	PROPN
ejpam-5383	382	6	,	,	PUNCT
ejpam-5383	382	7	m	m	VERB
ejpam-5383	382	8	nalliah	nalliah	PROPN
ejpam-5383	382	9	,	,	PUNCT
ejpam-5383	382	10	and	and	CCONJ
ejpam-5383	382	11	v	v	ADP
ejpam-5383	382	12	madhu	madhu	NOUN
ejpam-5383	382	13	.	.	PUNCT
ejpam-5383	383	1	note	note	NOUN
ejpam-5383	383	2	on	on	ADP
ejpam-5383	383	3	super	super	ADJ
ejpam-5383	383	4	(	(	PUNCT
ejpam-5383	383	5	a,1)–p3	a,1)–p3	PROPN
ejpam-5383	383	6	–	–	PUNCT
ejpam-5383	383	7	antimagic	antimagic	ADJ
ejpam-5383	383	8	total	total	ADJ
ejpam-5383	383	9	labeling	labeling	NOUN
ejpam-5383	383	10	of	of	ADP
ejpam-5383	383	11	star	star	PROPN
ejpam-5383	383	12	sn	sn	PROPN
ejpam-5383	383	13	.	.	PUNCT
ejpam-5383	384	1	ural	ural	ADJ
ejpam-5383	384	2	mathematical	mathematical	ADJ
ejpam-5383	384	3	journal	journal	NOUN
ejpam-5383	384	4	,	,	PUNCT
ejpam-5383	384	5	7(2	7(2	NUM
ejpam-5383	384	6	(	(	PUNCT
ejpam-5383	384	7	13)):86–93	13)):86–93	NUM
ejpam-5383	384	8	,	,	PUNCT
ejpam-5383	384	9	2021	2021	NUM
ejpam-5383	384	10	.	.	PUNCT
ejpam-5383	385	1	[	[	X
ejpam-5383	385	2	34	34	NUM
ejpam-5383	385	3	]	]	X
ejpam-5383	385	4	s	s	PART
ejpam-5383	385	5	rajkumar	rajkumar	PROPN
ejpam-5383	385	6	,	,	PUNCT
ejpam-5383	385	7	m	m	VERB
ejpam-5383	385	8	nalliah	nalliah	PROPN
ejpam-5383	385	9	,	,	PUNCT
ejpam-5383	385	10	and	and	CCONJ
ejpam-5383	385	11	g	g	PROPN
ejpam-5383	385	12	uma	uma	PROPN
ejpam-5383	385	13	maheswari	maheswari	PROPN
ejpam-5383	385	14	.	.	PUNCT
ejpam-5383	386	1	super	super	PROPN
ejpam-5383	386	2	(	(	PUNCT
ejpam-5383	386	3	a	a	PRON
ejpam-5383	386	4	,	,	PUNCT
ejpam-5383	386	5	d)-g	d)-g	NOUN
ejpam-5383	386	6	+	+	CCONJ
ejpam-5383	386	7	e	e	ADJ
ejpam-5383	386	8	-	-	ADJ
ejpam-5383	386	9	antimagic	antimagic	ADJ
ejpam-5383	386	10	total	total	ADJ
ejpam-5383	386	11	labeling	labeling	NOUN
ejpam-5383	386	12	of	of	ADP
ejpam-5383	386	13	gu[sn	gu[sn	NOUN
ejpam-5383	386	14	]	]	PUNCT
ejpam-5383	386	15	.	.	PUNCT
ejpam-5383	387	1	proyecciones	proyeccione	NOUN
ejpam-5383	387	2	(	(	PUNCT
ejpam-5383	387	3	antofagasta	antofagasta	PROPN
ejpam-5383	387	4	)	)	PUNCT
ejpam-5383	387	5	,	,	PUNCT
ejpam-5383	387	6	41(1):249–262	41(1):249–262	PROPN
ejpam-5383	387	7	,	,	PUNCT
ejpam-5383	387	8	2022	2022	NUM
ejpam-5383	387	9	.	.	PUNCT
ejpam-5383	388	1	[	[	X
ejpam-5383	388	2	35	35	NUM
ejpam-5383	388	3	]	]	SYM
ejpam-5383	388	4	v	v	ADP
ejpam-5383	388	5	sandhiya	sandhiya	PROPN
ejpam-5383	388	6	and	and	CCONJ
ejpam-5383	388	7	m	m	PROPN
ejpam-5383	388	8	nalliah	nalliah	PROPN
ejpam-5383	388	9	.	.	PUNCT
ejpam-5383	389	1	local	local	ADJ
ejpam-5383	389	2	total	total	ADJ
ejpam-5383	389	3	anti	anti	ADJ
ejpam-5383	389	4	-	-	ADJ
ejpam-5383	389	5	magic	magic	ADJ
ejpam-5383	389	6	chromatic	chromatic	ADJ
ejpam-5383	389	7	number	number	NOUN
ejpam-5383	389	8	of	of	ADP
ejpam-5383	389	9	graphs	graph	NOUN
ejpam-5383	389	10	.	.	PUNCT
ejpam-5383	390	1	heliyon	heliyon	NOUN
ejpam-5383	390	2	,	,	PUNCT
ejpam-5383	390	3	9(7	9(7	NUM
ejpam-5383	390	4	)	)	PUNCT
ejpam-5383	390	5	,	,	PUNCT
ejpam-5383	390	6	2023	2023	NUM
ejpam-5383	390	7	.	.	PUNCT
ejpam-5383	391	1	[	[	X
ejpam-5383	391	2	36	36	NUM
ejpam-5383	391	3	]	]	X
ejpam-5383	391	4	r	r	NOUN
ejpam-5383	391	5	shankar	shankar	NOUN
ejpam-5383	391	6	and	and	CCONJ
ejpam-5383	391	7	m	m	PROPN
ejpam-5383	391	8	nalliah	nalliah	PROPN
ejpam-5383	391	9	.	.	PUNCT
ejpam-5383	392	1	local	local	ADJ
ejpam-5383	392	2	antimagic	antimagic	ADJ
ejpam-5383	392	3	chromatic	chromatic	ADJ
ejpam-5383	392	4	number	number	NOUN
ejpam-5383	392	5	for	for	ADP
ejpam-5383	392	6	the	the	DET
ejpam-5383	392	7	corona	corona	NOUN
ejpam-5383	392	8	product	product	NOUN
ejpam-5383	392	9	of	of	ADP
ejpam-5383	392	10	wheel	wheel	NOUN
ejpam-5383	392	11	and	and	CCONJ
ejpam-5383	392	12	null	null	ADJ
ejpam-5383	392	13	graphs	graph	NOUN
ejpam-5383	392	14	.	.	PUNCT
ejpam-5383	393	1	vestnik	vestnik	PROPN
ejpam-5383	393	2	udmurtskogo	udmurtskogo	PROPN
ejpam-5383	393	3	universiteta	universiteta	PROPN
ejpam-5383	393	4	.	.	PROPN
ejpam-5383	393	5	matematika	matematika	PROPN
ejpam-5383	393	6	.	.	PUNCT
ejpam-5383	393	7	mekhanika	mekhanika	PROPN
ejpam-5383	393	8	.	.	PUNCT
ejpam-5383	394	1	komp’yuternye	komp’yuternye	NOUN
ejpam-5383	394	2	nauki	nauki	PROPN
ejpam-5383	394	3	,	,	PUNCT
ejpam-5383	394	4	32(3):463–485	32(3):463–485	PROPN
ejpam-5383	394	5	,	,	PUNCT
ejpam-5383	394	6	2022	2022	NUM
ejpam-5383	394	7	.	.	PUNCT
ejpam-5383	395	1	[	[	X
ejpam-5383	395	2	37	37	NUM
ejpam-5383	395	3	]	]	X
ejpam-5383	395	4	r	r	NOUN
ejpam-5383	395	5	shankar	shankar	NOUN
ejpam-5383	395	6	and	and	CCONJ
ejpam-5383	395	7	m	m	PROPN
ejpam-5383	395	8	nalliah	nalliah	PROPN
ejpam-5383	395	9	.	.	PUNCT
ejpam-5383	396	1	local	local	ADJ
ejpam-5383	396	2	vertex	vertex	NOUN
ejpam-5383	396	3	antimagic	antimagic	ADJ
ejpam-5383	396	4	chromatic	chromatic	ADJ
ejpam-5383	396	5	number	number	NOUN
ejpam-5383	396	6	of	of	ADP
ejpam-5383	396	7	some	some	DET
ejpam-5383	396	8	wheel	wheel	NOUN
ejpam-5383	396	9	related	relate	VERB
ejpam-5383	396	10	graphs	graph	NOUN
ejpam-5383	396	11	.	.	PUNCT
ejpam-5383	397	1	proyecciones	proyeccione	NOUN
ejpam-5383	397	2	(	(	PUNCT
ejpam-5383	397	3	antofagasta	antofagasta	PROPN
ejpam-5383	397	4	)	)	PUNCT
ejpam-5383	397	5	,	,	PUNCT
ejpam-5383	397	6	41(1):319–334	41(1):319–334	PROPN
ejpam-5383	397	7	,	,	PUNCT
ejpam-5383	397	8	2022	2022	NUM
ejpam-5383	397	9	.	.	PUNCT
ejpam-5383	398	1	references	reference	NOUN
ejpam-5383	398	2	2842	2842	NUM
ejpam-5383	398	3	[	[	X
ejpam-5383	398	4	38	38	NUM
ejpam-5383	398	5	]	]	SYM
ejpam-5383	398	6	v	v	ADP
ejpam-5383	398	7	vizing	vizing	NOUN
ejpam-5383	398	8	.	.	PUNCT
ejpam-5383	399	1	some	some	DET
ejpam-5383	399	2	unsolved	unsolved	ADJ
ejpam-5383	399	3	problems	problem	NOUN
ejpam-5383	399	4	in	in	ADP
ejpam-5383	399	5	graph	graph	NOUN
ejpam-5383	399	6	theory	theory	NOUN
ejpam-5383	399	7	.	.	PUNCT
ejpam-5383	400	1	russian	russian	ADJ
ejpam-5383	400	2	mathematical	mathematical	ADJ
ejpam-5383	400	3	surveys	survey	NOUN
ejpam-5383	400	4	,	,	PUNCT
ejpam-5383	400	5	23(6):125–141	23(6):125–141	PROPN
ejpam-5383	400	6	,	,	PUNCT
ejpam-5383	400	7	1968	1968	NUM
ejpam-5383	400	8	.	.	PUNCT
ejpam-5383	401	1	[	[	X
ejpam-5383	401	2	39	39	NUM
ejpam-5383	401	3	]	]	PUNCT
ejpam-5383	401	4	h	h	NOUN
ejpam-5383	401	5	p	p	X
ejpam-5383	401	6	yap	yap	PROPN
ejpam-5383	401	7	.	.	PUNCT
ejpam-5383	402	1	total	total	ADJ
ejpam-5383	402	2	coloring	coloring	NOUN
ejpam-5383	402	3	of	of	ADP
ejpam-5383	402	4	graphs	graph	NOUN
ejpam-5383	402	5	.	.	PUNCT
ejpam-5383	403	1	springer	springer	NOUN
ejpam-5383	403	2	,	,	PUNCT
ejpam-5383	403	3	2006	2006	NUM
ejpam-5383	403	4	.	.	PUNCT