id	sid	tid	token	lemma	pos
ejpam-5409	1	1	european	european	PROPN
ejpam-5409	1	2	journal	journal	PROPN
ejpam-5409	1	3	of	of	ADP
ejpam-5409	1	4	pure	pure	ADJ
ejpam-5409	1	5	and	and	CCONJ
ejpam-5409	1	6	applied	apply	VERB
ejpam-5409	1	7	mathematics	mathematic	NOUN
ejpam-5409	1	8	vol	vol	NOUN
ejpam-5409	1	9	.	.	PROPN
ejpam-5409	2	1	17	17	NUM
ejpam-5409	2	2	,	,	PUNCT
ejpam-5409	2	3	no	no	INTJ
ejpam-5409	2	4	.	.	NOUN
ejpam-5409	2	5	4	4	NUM
ejpam-5409	2	6	,	,	PUNCT
ejpam-5409	2	7	2024	2024	NUM
ejpam-5409	2	8	,	,	PUNCT
ejpam-5409	2	9	3356	3356	NUM
ejpam-5409	2	10	-	-	SYM
ejpam-5409	2	11	3369	3369	NUM
ejpam-5409	2	12	issn	issn	PROPN
ejpam-5409	2	13	1307	1307	NUM
ejpam-5409	2	14	-	-	SYM
ejpam-5409	2	15	5543	5543	NUM
ejpam-5409	2	16	–	–	PUNCT
ejpam-5409	2	17	ejpam.com	ejpam.com	X
ejpam-5409	2	18	published	publish	VERB
ejpam-5409	2	19	by	by	ADP
ejpam-5409	2	20	new	new	PROPN
ejpam-5409	2	21	york	york	PROPN
ejpam-5409	2	22	business	business	PROPN
ejpam-5409	2	23	global	global	PROPN
ejpam-5409	2	24	on	on	ADP
ejpam-5409	2	25	b	b	X
ejpam-5409	2	26	-	-	PUNCT
ejpam-5409	2	27	coloring	color	VERB
ejpam-5409	2	28	analysis	analysis	NOUN
ejpam-5409	2	29	of	of	ADP
ejpam-5409	2	30	graphs	graph	NOUN
ejpam-5409	2	31	:	:	PUNCT
ejpam-5409	2	32	an	an	DET
ejpam-5409	2	33	application	application	NOUN
ejpam-5409	2	34	to	to	ADP
ejpam-5409	2	35	spatial	spatial	ADJ
ejpam-5409	2	36	-	-	PUNCT
ejpam-5409	2	37	temporal	temporal	ADJ
ejpam-5409	2	38	graph	graph	NOUN
ejpam-5409	2	39	neural	neural	ADJ
ejpam-5409	2	40	networks	network	NOUN
ejpam-5409	2	41	for	for	ADP
ejpam-5409	2	42	multi	multi	ADJ
ejpam-5409	2	43	-	-	ADJ
ejpam-5409	2	44	step	step	ADJ
ejpam-5409	2	45	time	time	NOUN
ejpam-5409	2	46	series	series	PROPN
ejpam-5409	2	47	forecasting	forecasting	NOUN
ejpam-5409	2	48	of	of	ADP
ejpam-5409	2	49	soil	soil	NOUN
ejpam-5409	2	50	moisture	moisture	NOUN
ejpam-5409	2	51	and	and	CCONJ
ejpam-5409	2	52	ph	ph	ADJ
ejpam-5409	2	53	in	in	ADP
ejpam-5409	2	54	companion	companion	NOUN
ejpam-5409	2	55	farming	farming	NOUN
ejpam-5409	2	56	arika	arika	PROPN
ejpam-5409	2	57	indah	indah	PROPN
ejpam-5409	2	58	kristiana1,3,∗	kristiana1,3,∗	PROPN
ejpam-5409	2	59	,	,	PUNCT
ejpam-5409	2	60	elisa	elisa	PROPN
ejpam-5409	2	61	rachmasari1	rachmasari1	PROPN
ejpam-5409	2	62	,	,	PUNCT
ejpam-5409	2	63	dafik1,3	dafik1,3	PROPN
ejpam-5409	2	64	,	,	PUNCT
ejpam-5409	2	65	robiatul	robiatul	NOUN
ejpam-5409	2	66	adawiyah1,3	adawiyah1,3	PROPN
ejpam-5409	2	67	,	,	PUNCT
ejpam-5409	2	68	ika	ika	PROPN
ejpam-5409	2	69	hesti	hesti	PROPN
ejpam-5409	2	70	agustin2,3,indah	agustin2,3,indah	PROPN
ejpam-5409	3	1	lutfiyatul	lutfiyatul	PROPN
ejpam-5409	3	2	mursyidah3	mursyidah3	PROPN
ejpam-5409	3	3	,	,	PUNCT
ejpam-5409	3	4	ridho	ridho	NOUN
ejpam-5409	3	5	alfarisi	alfarisi	VERB
ejpam-5409	3	6	2,3	2,3	NUM
ejpam-5409	3	7	1	1	NUM
ejpam-5409	3	8	department	department	NOUN
ejpam-5409	3	9	of	of	ADP
ejpam-5409	3	10	mathematics	mathematics	PROPN
ejpam-5409	3	11	education	education	NOUN
ejpam-5409	3	12	,	,	PUNCT
ejpam-5409	3	13	university	university	NOUN
ejpam-5409	3	14	of	of	ADP
ejpam-5409	3	15	jember	jember	PROPN
ejpam-5409	3	16	,	,	PUNCT
ejpam-5409	3	17	jember	jember	PROPN
ejpam-5409	3	18	,	,	PUNCT
ejpam-5409	3	19	indonesia	indonesia	PROPN
ejpam-5409	3	20	2	2	NUM
ejpam-5409	3	21	department	department	NOUN
ejpam-5409	3	22	of	of	ADP
ejpam-5409	3	23	mathematics	mathematic	NOUN
ejpam-5409	3	24	,	,	PUNCT
ejpam-5409	3	25	university	university	PROPN
ejpam-5409	3	26	of	of	ADP
ejpam-5409	3	27	jember	jember	PROPN
ejpam-5409	3	28	,	,	PUNCT
ejpam-5409	3	29	jember	jember	PROPN
ejpam-5409	3	30	,	,	PUNCT
ejpam-5409	3	31	indonesia	indonesia	PROPN
ejpam-5409	3	32	3	3	NUM
ejpam-5409	3	33	pui	pui	PROPN
ejpam-5409	3	34	-	-	PUNCT
ejpam-5409	3	35	pt	pt	NOUN
ejpam-5409	3	36	combinatorics	combinatoric	NOUN
ejpam-5409	3	37	and	and	CCONJ
ejpam-5409	3	38	graph	graph	NOUN
ejpam-5409	3	39	,	,	PUNCT
ejpam-5409	3	40	cgant	cgant	NOUN
ejpam-5409	3	41	-	-	PUNCT
ejpam-5409	3	42	university	university	NOUN
ejpam-5409	3	43	of	of	ADP
ejpam-5409	3	44	jember	jember	PROPN
ejpam-5409	3	45	,	,	PUNCT
ejpam-5409	3	46	jember	jember	PROPN
ejpam-5409	3	47	,	,	PUNCT
ejpam-5409	3	48	indonesia	indonesia	PROPN
ejpam-5409	3	49	abstract	abstract	NOUN
ejpam-5409	3	50	.	.	PUNCT
ejpam-5409	4	1	let	let	VERB
ejpam-5409	4	2	g	g	PRON
ejpam-5409	4	3	be	be	AUX
ejpam-5409	4	4	a	a	DET
ejpam-5409	4	5	pair	pair	NOUN
ejpam-5409	4	6	of	of	ADP
ejpam-5409	4	7	two	two	NUM
ejpam-5409	4	8	sets	set	NOUN
ejpam-5409	4	9	(	(	PUNCT
ejpam-5409	4	10	v	v	NOUN
ejpam-5409	4	11	,	,	PUNCT
ejpam-5409	4	12	e	e	NOUN
ejpam-5409	4	13	)	)	PUNCT
ejpam-5409	4	14	with	with	ADP
ejpam-5409	4	15	vertex	vertex	NOUN
ejpam-5409	4	16	set	set	VERB
ejpam-5409	4	17	v	v	NOUN
ejpam-5409	4	18	and	and	CCONJ
ejpam-5409	4	19	edge	edge	NOUN
ejpam-5409	4	20	set	set	VERB
ejpam-5409	4	21	e.	e.	PROPN
ejpam-5409	4	22	a	a	DET
ejpam-5409	4	23	proper	proper	ADJ
ejpam-5409	4	24	coloring	coloring	NOUN
ejpam-5409	4	25	of	of	ADP
ejpam-5409	4	26	a	a	DET
ejpam-5409	4	27	graph	graph	NOUN
ejpam-5409	4	28	g	g	NOUN
ejpam-5409	4	29	is	be	AUX
ejpam-5409	4	30	a	a	DET
ejpam-5409	4	31	vertex	vertex	NOUN
ejpam-5409	4	32	coloring	coloring	NOUN
ejpam-5409	4	33	of	of	ADP
ejpam-5409	4	34	it	it	PRON
ejpam-5409	4	35	such	such	ADJ
ejpam-5409	4	36	that	that	SCONJ
ejpam-5409	4	37	no	no	DET
ejpam-5409	4	38	two	two	NUM
ejpam-5409	4	39	adjacent	adjacent	ADJ
ejpam-5409	4	40	vertices	vertex	NOUN
ejpam-5409	4	41	in	in	ADP
ejpam-5409	4	42	g	g	PROPN
ejpam-5409	4	43	have	have	VERB
ejpam-5409	4	44	the	the	DET
ejpam-5409	4	45	same	same	ADJ
ejpam-5409	4	46	color	color	NOUN
ejpam-5409	4	47	.	.	PUNCT
ejpam-5409	5	1	by	by	ADP
ejpam-5409	5	2	b−coloring	b−colore	VERB
ejpam-5409	5	3	,	,	PUNCT
ejpam-5409	5	4	we	we	PRON
ejpam-5409	5	5	define	define	VERB
ejpam-5409	5	6	a	a	DET
ejpam-5409	5	7	coloring	coloring	NOUN
ejpam-5409	5	8	of	of	ADP
ejpam-5409	5	9	the	the	DET
ejpam-5409	5	10	vertex	vertex	NOUN
ejpam-5409	5	11	of	of	ADP
ejpam-5409	5	12	g	g	NOUN
ejpam-5409	5	13	such	such	ADJ
ejpam-5409	5	14	that	that	SCONJ
ejpam-5409	5	15	each	each	DET
ejpam-5409	5	16	color	color	NOUN
ejpam-5409	5	17	class	class	NOUN
ejpam-5409	5	18	has	have	VERB
ejpam-5409	5	19	at	at	ADV
ejpam-5409	5	20	least	least	ADV
ejpam-5409	5	21	one	one	NUM
ejpam-5409	5	22	vertex	vertex	NOUN
ejpam-5409	5	23	that	that	PRON
ejpam-5409	5	24	adjacent	adjacent	ADJ
ejpam-5409	5	25	with	with	ADP
ejpam-5409	5	26	all	all	DET
ejpam-5409	5	27	other	other	ADJ
ejpam-5409	5	28	color	color	NOUN
ejpam-5409	5	29	classes	class	NOUN
ejpam-5409	5	30	.	.	PUNCT
ejpam-5409	6	1	the	the	DET
ejpam-5409	6	2	b−	b−	PROPN
ejpam-5409	6	3	chromatic	chromatic	ADJ
ejpam-5409	6	4	number	number	NOUN
ejpam-5409	6	5	of	of	ADP
ejpam-5409	6	6	graph	graph	NOUN
ejpam-5409	6	7	g	g	NOUN
ejpam-5409	6	8	,	,	PUNCT
ejpam-5409	6	9	denoted	denote	VERB
ejpam-5409	6	10	by	by	ADP
ejpam-5409	6	11	φ(g	φ(g	PROPN
ejpam-5409	6	12	)	)	PUNCT
ejpam-5409	6	13	,	,	PUNCT
ejpam-5409	6	14	is	be	AUX
ejpam-5409	6	15	the	the	DET
ejpam-5409	6	16	largest	large	ADJ
ejpam-5409	6	17	integer	integer	NOUN
ejpam-5409	6	18	k	k	PROPN
ejpam-5409	6	19	such	such	ADJ
ejpam-5409	6	20	that	that	DET
ejpam-5409	6	21	graph	graph	NOUN
ejpam-5409	6	22	g	g	NOUN
ejpam-5409	6	23	has	have	VERB
ejpam-5409	6	24	b−coloring	b−colore	VERB
ejpam-5409	6	25	with	with	ADP
ejpam-5409	6	26	k	k	PROPN
ejpam-5409	6	27	colors	color	NOUN
ejpam-5409	6	28	.	.	PUNCT
ejpam-5409	7	1	in	in	ADP
ejpam-5409	7	2	this	this	DET
ejpam-5409	7	3	paper	paper	NOUN
ejpam-5409	7	4	,	,	PUNCT
ejpam-5409	7	5	we	we	PRON
ejpam-5409	7	6	will	will	AUX
ejpam-5409	7	7	explore	explore	VERB
ejpam-5409	7	8	some	some	DET
ejpam-5409	7	9	new	new	ADJ
ejpam-5409	7	10	lemmas	lemma	NOUN
ejpam-5409	7	11	or	or	CCONJ
ejpam-5409	7	12	theorems	theorem	NOUN
ejpam-5409	7	13	regarding	regard	VERB
ejpam-5409	7	14	to	to	ADP
ejpam-5409	7	15	φ(g	φ(g	NOUN
ejpam-5409	7	16	)	)	PUNCT
ejpam-5409	7	17	.	.	PUNCT
ejpam-5409	8	1	furthermore	furthermore	ADV
ejpam-5409	8	2	,	,	PUNCT
ejpam-5409	8	3	to	to	PART
ejpam-5409	8	4	see	see	VERB
ejpam-5409	8	5	the	the	DET
ejpam-5409	8	6	robust	robust	ADJ
ejpam-5409	8	7	application	application	NOUN
ejpam-5409	8	8	of	of	ADP
ejpam-5409	8	9	b−coloring	b−coloring	NOUN
ejpam-5409	8	10	of	of	ADP
ejpam-5409	8	11	graph	graph	NOUN
ejpam-5409	8	12	,	,	PUNCT
ejpam-5409	8	13	at	at	ADP
ejpam-5409	8	14	the	the	DET
ejpam-5409	8	15	end	end	NOUN
ejpam-5409	8	16	of	of	ADP
ejpam-5409	8	17	this	this	DET
ejpam-5409	8	18	paper	paper	NOUN
ejpam-5409	8	19	we	we	PRON
ejpam-5409	8	20	will	will	AUX
ejpam-5409	8	21	illustrate	illustrate	VERB
ejpam-5409	8	22	the	the	DET
ejpam-5409	8	23	implementation	implementation	NOUN
ejpam-5409	8	24	of	of	ADP
ejpam-5409	8	25	b−coloring	b−colore	VERB
ejpam-5409	8	26	on	on	ADP
ejpam-5409	8	27	spatial	spatial	ADJ
ejpam-5409	8	28	temporal	temporal	ADJ
ejpam-5409	8	29	graph	graph	NOUN
ejpam-5409	8	30	neural	neural	ADJ
ejpam-5409	8	31	networks	network	NOUN
ejpam-5409	8	32	(	(	PUNCT
ejpam-5409	8	33	stgnn	stgnn	NOUN
ejpam-5409	8	34	)	)	PUNCT
ejpam-5409	8	35	multi	multi	ADJ
ejpam-5409	8	36	-	-	ADJ
ejpam-5409	8	37	step	step	ADJ
ejpam-5409	8	38	time	time	NOUN
ejpam-5409	8	39	series	series	NOUN
ejpam-5409	8	40	forecasting	forecasting	NOUN
ejpam-5409	8	41	on	on	ADP
ejpam-5409	8	42	soil	soil	NOUN
ejpam-5409	8	43	moisture	moisture	NOUN
ejpam-5409	8	44	and	and	CCONJ
ejpam-5409	8	45	ph	ph	NOUN
ejpam-5409	8	46	of	of	ADP
ejpam-5409	8	47	companion	companion	NOUN
ejpam-5409	8	48	farming	farming	NOUN
ejpam-5409	8	49	.	.	PUNCT
ejpam-5409	9	1	2020	2020	NUM
ejpam-5409	9	2	mathematics	mathematic	NOUN
ejpam-5409	9	3	subject	subject	NOUN
ejpam-5409	9	4	classifications	classification	NOUN
ejpam-5409	9	5	:	:	PUNCT
ejpam-5409	9	6	05c78	05c78	NUM
ejpam-5409	9	7	key	key	ADJ
ejpam-5409	9	8	words	word	NOUN
ejpam-5409	9	9	and	and	CCONJ
ejpam-5409	9	10	phrases	phrase	NOUN
ejpam-5409	9	11	:	:	PUNCT
ejpam-5409	9	12	b−coloring	b−colore	VERB
ejpam-5409	9	13	,	,	PUNCT
ejpam-5409	9	14	b	b	X
ejpam-5409	9	15	-	-	PUNCT
ejpam-5409	9	16	chromatic	chromatic	ADJ
ejpam-5409	9	17	number	number	NOUN
ejpam-5409	9	18	,	,	PUNCT
ejpam-5409	9	19	companion	companion	NOUN
ejpam-5409	9	20	farming	farming	NOUN
ejpam-5409	9	21	,	,	PUNCT
ejpam-5409	9	22	multi	multi	ADJ
ejpam-5409	9	23	-	-	ADJ
ejpam-5409	9	24	step	step	ADJ
ejpam-5409	9	25	time	time	NOUN
ejpam-5409	9	26	series	series	NOUN
ejpam-5409	9	27	forecasting	forecast	VERB
ejpam-5409	9	28	1	1	NUM
ejpam-5409	9	29	.	.	PUNCT
ejpam-5409	9	30	introduction	introduction	NOUN
ejpam-5409	9	31	a	a	DET
ejpam-5409	9	32	classic	classic	ADJ
ejpam-5409	9	33	and	and	CCONJ
ejpam-5409	9	34	well	well	ADV
ejpam-5409	9	35	-	-	PUNCT
ejpam-5409	9	36	known	know	VERB
ejpam-5409	9	37	graph	graph	NOUN
ejpam-5409	9	38	theory	theory	NOUN
ejpam-5409	9	39	problem	problem	NOUN
ejpam-5409	9	40	is	be	AUX
ejpam-5409	9	41	graph	graph	NOUN
ejpam-5409	9	42	coloring	coloring	NOUN
ejpam-5409	9	43	.	.	PUNCT
ejpam-5409	10	1	graph	graph	NOUN
ejpam-5409	10	2	coloring	coloring	NOUN
ejpam-5409	10	3	is	be	AUX
ejpam-5409	10	4	one	one	NUM
ejpam-5409	10	5	of	of	ADP
ejpam-5409	10	6	the	the	DET
ejpam-5409	10	7	important	important	ADJ
ejpam-5409	10	8	branches	branch	NOUN
ejpam-5409	10	9	in	in	ADP
ejpam-5409	10	10	graph	graph	NOUN
ejpam-5409	10	11	theory	theory	NOUN
ejpam-5409	10	12	that	that	PRON
ejpam-5409	10	13	has	have	AUX
ejpam-5409	10	14	been	be	AUX
ejpam-5409	10	15	the	the	DET
ejpam-5409	10	16	focus	focus	NOUN
ejpam-5409	10	17	of	of	ADP
ejpam-5409	10	18	intensive	intensive	ADJ
ejpam-5409	10	19	research	research	NOUN
ejpam-5409	10	20	in	in	ADP
ejpam-5409	10	21	recent	recent	ADJ
ejpam-5409	10	22	years	year	NOUN
ejpam-5409	10	23	.	.	PUNCT
ejpam-5409	11	1	a	a	DET
ejpam-5409	11	2	graph	graph	NOUN
ejpam-5409	11	3	coloring	coloring	NOUN
ejpam-5409	11	4	is	be	AUX
ejpam-5409	11	5	considered	consider	VERB
ejpam-5409	11	6	to	to	PART
ejpam-5409	11	7	be	be	AUX
ejpam-5409	11	8	an	an	DET
ejpam-5409	11	9	assignment	assignment	NOUN
ejpam-5409	11	10	of	of	ADP
ejpam-5409	11	11	colours	colour	NOUN
ejpam-5409	11	12	,	,	PUNCT
ejpam-5409	11	13	labels	label	NOUN
ejpam-5409	11	14	or	or	CCONJ
ejpam-5409	11	15	weights	weight	NOUN
ejpam-5409	11	16	to	to	ADP
ejpam-5409	11	17	the	the	DET
ejpam-5409	11	18	elements	element	NOUN
ejpam-5409	11	19	of	of	ADP
ejpam-5409	11	20	the	the	DET
ejpam-5409	11	21	graphs	graph	NOUN
ejpam-5409	11	22	.	.	PUNCT
ejpam-5409	12	1	for	for	ADP
ejpam-5409	12	2	several	several	ADJ
ejpam-5409	12	3	decades	decade	NOUN
ejpam-5409	12	4	,	,	PUNCT
ejpam-5409	12	5	graph	graph	NOUN
ejpam-5409	12	6	coloring	coloring	NOUN
ejpam-5409	12	7	problems	problem	NOUN
ejpam-5409	12	8	have	have	AUX
ejpam-5409	12	9	become	become	VERB
ejpam-5409	12	10	an	an	DET
ejpam-5409	12	11	extremely	extremely	ADV
ejpam-5409	12	12	useful	useful	ADJ
ejpam-5409	12	13	models	model	NOUN
ejpam-5409	12	14	for	for	ADP
ejpam-5409	12	15	many	many	ADJ
ejpam-5409	12	16	theoretical	theoretical	ADJ
ejpam-5409	12	17	and	and	CCONJ
ejpam-5409	12	18	practical	practical	ADJ
ejpam-5409	12	19	problems	problem	NOUN
ejpam-5409	12	20	∗corresponding	∗corresponde	VERB
ejpam-5409	12	21	author	author	NOUN
ejpam-5409	12	22	.	.	PUNCT
ejpam-5409	13	1	doi	doi	NOUN
ejpam-5409	13	2	:	:	PUNCT
ejpam-5409	13	3	https://doi.org/10.29020/nybg.ejpam.v17i4.5409	https://doi.org/10.29020/nybg.ejpam.v17i4.5409	NUM
ejpam-5409	13	4	email	email	NOUN
ejpam-5409	13	5	addresses	address	NOUN
ejpam-5409	13	6	:	:	PUNCT
ejpam-5409	13	7	arika.fkip@unej.ac.id	arika.fkip@unej.ac.id	PUNCT
ejpam-5409	13	8	(	(	PUNCT
ejpam-5409	13	9	a.	a.	PROPN
ejpam-5409	13	10	i.	i.	PROPN
ejpam-5409	13	11	kristiana	kristiana	PROPN
ejpam-5409	13	12	)	)	PUNCT
ejpam-5409	13	13	,	,	PUNCT
ejpam-5409	13	14	d.dafik@unej.ac.id	d.dafik@unej.ac.id	NOUN
ejpam-5409	13	15	(	(	PUNCT
ejpam-5409	13	16	dafik	dafik	NOUN
ejpam-5409	13	17	)	)	PUNCT
ejpam-5409	13	18	,	,	PUNCT
ejpam-5409	13	19	alfarisi.fkip@unej.ac.id	alfarisi.fkip@unej.ac.id	PUNCT
ejpam-5409	13	20	(	(	PUNCT
ejpam-5409	13	21	r.	r.	PROPN
ejpam-5409	13	22	alfarisi	alfarisi	PROPN
ejpam-5409	13	23	)	)	PUNCT
ejpam-5409	13	24	,	,	PUNCT
ejpam-5409	13	25	robiatul@unej.ac.id	robiatul@unej.ac.id	PROPN
ejpam-5409	13	26	(	(	PUNCT
ejpam-5409	13	27	r.	r.	PROPN
ejpam-5409	13	28	adawiyah	adawiyah	PROPN
ejpam-5409	13	29	)	)	PUNCT
ejpam-5409	13	30	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5409	13	31	3356	3356	NUM
ejpam-5409	13	32	copyright	copyright	NOUN
ejpam-5409	13	33	:	:	PUNCT
ejpam-5409	13	34	©	©	PROPN
ejpam-5409	13	35	2024	2024	NUM
ejpam-5409	13	36	the	the	DET
ejpam-5409	13	37	author(s	author(s	NOUN
ejpam-5409	13	38	)	)	PUNCT
ejpam-5409	13	39	.	.	PUNCT
ejpam-5409	14	1	(	(	PUNCT
ejpam-5409	14	2	cc	cc	NOUN
ejpam-5409	14	3	by	by	ADP
ejpam-5409	14	4	-	-	PUNCT
ejpam-5409	14	5	nc	nc	PROPN
ejpam-5409	14	6	4.0	4.0	NUM
ejpam-5409	14	7	)	)	PUNCT
ejpam-5409	14	8	a.	a.	NOUN
ejpam-5409	14	9	i.	i.	PROPN
ejpam-5409	14	10	kristiana	kristiana	PROPN
ejpam-5409	14	11	et	et	PROPN
ejpam-5409	14	12	al	al	PROPN
ejpam-5409	14	13	.	.	PUNCT
ejpam-5409	14	14	/	/	SYM
ejpam-5409	14	15	eur	eur	PROPN
ejpam-5409	14	16	.	.	PUNCT
ejpam-5409	15	1	j.	j.	PROPN
ejpam-5409	15	2	pure	pure	PROPN
ejpam-5409	15	3	appl	appl	PROPN
ejpam-5409	15	4	.	.	PROPN
ejpam-5409	15	5	math	math	PROPN
ejpam-5409	15	6	,	,	PUNCT
ejpam-5409	15	7	17	17	NUM
ejpam-5409	15	8	(	(	PUNCT
ejpam-5409	15	9	4	4	NUM
ejpam-5409	15	10	)	)	PUNCT
ejpam-5409	15	11	(	(	PUNCT
ejpam-5409	15	12	2024	2024	NUM
ejpam-5409	15	13	)	)	PUNCT
ejpam-5409	15	14	,	,	PUNCT
ejpam-5409	15	15	3356	3356	NUM
ejpam-5409	15	16	-	-	SYM
ejpam-5409	15	17	3369	3369	NUM
ejpam-5409	15	18	3357	3357	NUM
ejpam-5409	16	1	[	[	X
ejpam-5409	16	2	11	11	NUM
ejpam-5409	16	3	]	]	PUNCT
ejpam-5409	16	4	.	.	PUNCT
ejpam-5409	17	1	some	some	DET
ejpam-5409	17	2	types	type	NOUN
ejpam-5409	17	3	of	of	ADP
ejpam-5409	17	4	graph	graph	NOUN
ejpam-5409	17	5	coloring	coloring	NOUN
ejpam-5409	17	6	are	be	AUX
ejpam-5409	17	7	vertex	vertex	NOUN
ejpam-5409	17	8	coloring	coloring	NOUN
ejpam-5409	17	9	,	,	PUNCT
ejpam-5409	17	10	total	total	ADJ
ejpam-5409	17	11	coloring	coloring	NOUN
ejpam-5409	17	12	,	,	PUNCT
ejpam-5409	17	13	edge	edge	NOUN
ejpam-5409	17	14	coloring	coloring	NOUN
ejpam-5409	17	15	,	,	PUNCT
ejpam-5409	17	16	map	map	NOUN
ejpam-5409	17	17	coloring	coloring	NOUN
ejpam-5409	17	18	,	,	PUNCT
ejpam-5409	17	19	interval	interval	NOUN
ejpam-5409	17	20	coloring	coloring	NOUN
ejpam-5409	17	21	,	,	PUNCT
ejpam-5409	17	22	clique	clique	NOUN
ejpam-5409	17	23	coloring	coloring	NOUN
ejpam-5409	17	24	,	,	PUNCT
ejpam-5409	17	25	and	and	CCONJ
ejpam-5409	17	26	bipartite	bipartite	PROPN
ejpam-5409	17	27	graph	graph	NOUN
ejpam-5409	17	28	coloring	coloring	NOUN
ejpam-5409	17	29	.	.	PUNCT
ejpam-5409	18	1	vertex	vertex	NOUN
ejpam-5409	18	2	coloring	coloring	NOUN
ejpam-5409	18	3	refers	refer	VERB
ejpam-5409	18	4	to	to	ADP
ejpam-5409	18	5	the	the	DET
ejpam-5409	18	6	process	process	NOUN
ejpam-5409	18	7	of	of	ADP
ejpam-5409	18	8	assigning	assign	VERB
ejpam-5409	18	9	colors	color	NOUN
ejpam-5409	18	10	to	to	PART
ejpam-5409	18	11	vertices	vertex	NOUN
ejpam-5409	18	12	in	in	ADP
ejpam-5409	18	13	g	g	NOUN
ejpam-5409	18	14	so	so	SCONJ
ejpam-5409	18	15	that	that	SCONJ
ejpam-5409	18	16	no	no	DET
ejpam-5409	18	17	two	two	NUM
ejpam-5409	18	18	adjacent	adjacent	ADJ
ejpam-5409	18	19	vertices	vertex	NOUN
ejpam-5409	18	20	have	have	VERB
ejpam-5409	18	21	the	the	DET
ejpam-5409	18	22	same	same	ADJ
ejpam-5409	18	23	color	color	NOUN
ejpam-5409	18	24	.	.	PUNCT
ejpam-5409	19	1	the	the	DET
ejpam-5409	19	2	following	follow	VERB
ejpam-5409	19	3	are	be	AUX
ejpam-5409	19	4	a	a	DET
ejpam-5409	19	5	formal	formal	ADJ
ejpam-5409	19	6	definition	definition	NOUN
ejpam-5409	19	7	of	of	ADP
ejpam-5409	19	8	k−	k−	PROPN
ejpam-5409	19	9	coloring	coloring	NOUN
ejpam-5409	19	10	of	of	ADP
ejpam-5409	19	11	graph	graph	NOUN
ejpam-5409	19	12	.	.	PUNCT
ejpam-5409	20	1	1.1	1.1	NUM
ejpam-5409	20	2	.	.	PUNCT
ejpam-5409	21	1	basic	basic	ADJ
ejpam-5409	21	2	definitions	definition	NOUN
ejpam-5409	21	3	definition	definition	NOUN
ejpam-5409	21	4	1	1	NUM
ejpam-5409	21	5	.	.	PUNCT
ejpam-5409	22	1	[	[	X
ejpam-5409	22	2	6	6	NUM
ejpam-5409	22	3	]	]	PUNCT
ejpam-5409	22	4	the	the	DET
ejpam-5409	22	5	minimum	minimum	ADJ
ejpam-5409	22	6	number	number	NOUN
ejpam-5409	22	7	of	of	ADP
ejpam-5409	22	8	colors	color	NOUN
ejpam-5409	22	9	required	require	VERB
ejpam-5409	22	10	to	to	PART
ejpam-5409	22	11	properly	properly	ADV
ejpam-5409	22	12	color	color	VERB
ejpam-5409	22	13	a	a	DET
ejpam-5409	22	14	graph	graph	NOUN
ejpam-5409	22	15	g	g	NOUN
ejpam-5409	22	16	is	be	AUX
ejpam-5409	22	17	its	its	PRON
ejpam-5409	22	18	chromatic	chromatic	ADJ
ejpam-5409	22	19	number	number	NOUN
ejpam-5409	22	20	g	g	NOUN
ejpam-5409	22	21	,	,	PUNCT
ejpam-5409	22	22	denoted	denote	VERB
ejpam-5409	22	23	by	by	ADP
ejpam-5409	22	24	χ(g	χ(g	PROPN
ejpam-5409	22	25	)	)	PUNCT
ejpam-5409	22	26	.	.	PUNCT
ejpam-5409	23	1	based	base	VERB
ejpam-5409	23	2	on	on	ADP
ejpam-5409	23	3	these	these	DET
ejpam-5409	23	4	concepts	concept	NOUN
ejpam-5409	23	5	,	,	PUNCT
ejpam-5409	23	6	irving	irving	PROPN
ejpam-5409	23	7	and	and	CCONJ
ejpam-5409	23	8	manlove	manlove	PROPN
ejpam-5409	23	9	[	[	X
ejpam-5409	23	10	7	7	NUM
ejpam-5409	23	11	]	]	PUNCT
ejpam-5409	23	12	introduced	introduce	VERB
ejpam-5409	23	13	a	a	DET
ejpam-5409	23	14	new	new	ADJ
ejpam-5409	23	15	concept	concept	NOUN
ejpam-5409	23	16	namely	namely	ADV
ejpam-5409	23	17	b−coloring	b−colore	VERB
ejpam-5409	23	18	.	.	PUNCT
ejpam-5409	24	1	kouider	kouider	NOUN
ejpam-5409	24	2	and	and	CCONJ
ejpam-5409	24	3	maheo	maheo	PROPN
ejpam-5409	25	1	[	[	X
ejpam-5409	25	2	8	8	NUM
ejpam-5409	25	3	]	]	PUNCT
ejpam-5409	25	4	provided	provide	VERB
ejpam-5409	25	5	some	some	DET
ejpam-5409	25	6	upper	upper	ADJ
ejpam-5409	25	7	and	and	CCONJ
ejpam-5409	25	8	lower	low	ADJ
ejpam-5409	25	9	bound	bind	VERB
ejpam-5409	25	10	of	of	ADP
ejpam-5409	25	11	the	the	DET
ejpam-5409	25	12	bchromatic	bchromatic	ADJ
ejpam-5409	25	13	number	number	NOUN
ejpam-5409	25	14	on	on	ADP
ejpam-5409	25	15	b−coloring	b−coloring	NOUN
ejpam-5409	25	16	of	of	ADP
ejpam-5409	25	17	graph	graph	NOUN
ejpam-5409	25	18	.	.	PUNCT
ejpam-5409	26	1	here	here	ADV
ejpam-5409	26	2	is	be	AUX
ejpam-5409	26	3	the	the	DET
ejpam-5409	26	4	definition	definition	NOUN
ejpam-5409	26	5	of	of	ADP
ejpam-5409	26	6	b−coloring	b−colore	VERB
ejpam-5409	26	7	mentioned	mention	VERB
ejpam-5409	26	8	in	in	ADP
ejpam-5409	26	9	[	[	X
ejpam-5409	26	10	5	5	NUM
ejpam-5409	26	11	,	,	PUNCT
ejpam-5409	26	12	7	7	NUM
ejpam-5409	26	13	,	,	PUNCT
ejpam-5409	26	14	8	8	NUM
ejpam-5409	26	15	]	]	PUNCT
ejpam-5409	26	16	.	.	PUNCT
ejpam-5409	27	1	definition	definition	NOUN
ejpam-5409	27	2	2	2	NUM
ejpam-5409	27	3	.	.	PUNCT
ejpam-5409	28	1	[	[	X
ejpam-5409	28	2	7	7	X
ejpam-5409	28	3	]	]	X
ejpam-5409	28	4	a	a	DET
ejpam-5409	28	5	b−coloring	b−coloring	NOUN
ejpam-5409	28	6	of	of	ADP
ejpam-5409	28	7	a	a	DET
ejpam-5409	28	8	graph	graph	NOUN
ejpam-5409	28	9	g	g	NOUN
ejpam-5409	28	10	is	be	AUX
ejpam-5409	28	11	a	a	DET
ejpam-5409	28	12	proper	proper	ADJ
ejpam-5409	28	13	vertex	vertex	NOUN
ejpam-5409	28	14	coloring	coloring	NOUN
ejpam-5409	28	15	in	in	ADP
ejpam-5409	28	16	a	a	DET
ejpam-5409	28	17	way	way	NOUN
ejpam-5409	28	18	that	that	PRON
ejpam-5409	28	19	each	each	DET
ejpam-5409	28	20	color	color	NOUN
ejpam-5409	28	21	class	class	NOUN
ejpam-5409	28	22	has	have	VERB
ejpam-5409	28	23	a	a	DET
ejpam-5409	28	24	at	at	ADV
ejpam-5409	28	25	least	least	ADV
ejpam-5409	28	26	one	one	NUM
ejpam-5409	28	27	vertex	vertex	NOUN
ejpam-5409	28	28	that	that	PRON
ejpam-5409	28	29	is	be	AUX
ejpam-5409	28	30	adjacent	adjacent	ADJ
ejpam-5409	28	31	to	to	ADP
ejpam-5409	28	32	every	every	DET
ejpam-5409	28	33	other	other	ADJ
ejpam-5409	28	34	color	color	NOUN
ejpam-5409	28	35	class	class	NOUN
ejpam-5409	28	36	.	.	PUNCT
ejpam-5409	29	1	definition	definition	NOUN
ejpam-5409	29	2	3	3	NUM
ejpam-5409	29	3	.	.	PUNCT
ejpam-5409	30	1	[	[	X
ejpam-5409	30	2	7	7	X
ejpam-5409	30	3	]	]	X
ejpam-5409	30	4	the	the	DET
ejpam-5409	30	5	b−chromatic	b−chromatic	ADJ
ejpam-5409	30	6	number	number	NOUN
ejpam-5409	30	7	of	of	ADP
ejpam-5409	30	8	graph	graph	NOUN
ejpam-5409	30	9	g	g	PROPN
ejpam-5409	30	10	is	be	AUX
ejpam-5409	30	11	the	the	DET
ejpam-5409	30	12	highest	high	ADJ
ejpam-5409	30	13	integer	integer	NOUN
ejpam-5409	30	14	k	k	PROPN
ejpam-5409	30	15	such	such	ADJ
ejpam-5409	30	16	that	that	SCONJ
ejpam-5409	30	17	g	g	PROPN
ejpam-5409	30	18	has	have	VERB
ejpam-5409	30	19	a	a	DET
ejpam-5409	30	20	b−coloring	b−coloring	NOUN
ejpam-5409	30	21	,	,	PUNCT
ejpam-5409	30	22	denoted	denote	VERB
ejpam-5409	30	23	by	by	ADP
ejpam-5409	30	24	φ(g	φ(g	PROPN
ejpam-5409	30	25	)	)	PUNCT
ejpam-5409	30	26	.	.	PUNCT
ejpam-5409	31	1	lemma	lemma	PROPN
ejpam-5409	31	2	1	1	NUM
ejpam-5409	31	3	.	.	PUNCT
ejpam-5409	32	1	[	[	X
ejpam-5409	32	2	8	8	NUM
ejpam-5409	32	3	]	]	PUNCT
ejpam-5409	32	4	for	for	ADP
ejpam-5409	32	5	any	any	DET
ejpam-5409	32	6	graph	graph	NOUN
ejpam-5409	32	7	g	g	NOUN
ejpam-5409	32	8	,	,	PUNCT
ejpam-5409	32	9	χ(g	χ(g	PROPN
ejpam-5409	32	10	)	)	PUNCT
ejpam-5409	32	11	≤	≤	NUM
ejpam-5409	32	12	φ(g	φ(g	PROPN
ejpam-5409	32	13	)	)	PUNCT
ejpam-5409	32	14	≤	≤	NOUN
ejpam-5409	32	15	∆(g	∆(g	NOUN
ejpam-5409	32	16	)	)	PUNCT
ejpam-5409	33	1	+	+	NUM
ejpam-5409	33	2	1	1	NUM
ejpam-5409	33	3	,	,	PUNCT
ejpam-5409	33	4	where	where	SCONJ
ejpam-5409	33	5	∆(g	∆(g	NOUN
ejpam-5409	33	6	)	)	PUNCT
ejpam-5409	33	7	is	be	AUX
ejpam-5409	33	8	the	the	DET
ejpam-5409	33	9	highest	high	ADJ
ejpam-5409	33	10	degree	degree	NOUN
ejpam-5409	33	11	of	of	ADP
ejpam-5409	33	12	vertices	vertex	NOUN
ejpam-5409	33	13	in	in	ADP
ejpam-5409	33	14	g.	g.	PROPN
ejpam-5409	33	15	definition	definition	NOUN
ejpam-5409	33	16	4	4	NUM
ejpam-5409	33	17	.	.	PUNCT
ejpam-5409	34	1	[	[	X
ejpam-5409	34	2	5	5	X
ejpam-5409	34	3	]	]	PUNCT
ejpam-5409	34	4	let	let	VERB
ejpam-5409	34	5	g	g	NOUN
ejpam-5409	34	6	and	and	CCONJ
ejpam-5409	34	7	h	h	NOUN
ejpam-5409	34	8	be	be	VERB
ejpam-5409	34	9	two	two	NUM
ejpam-5409	34	10	connected	connected	ADJ
ejpam-5409	34	11	graphs	graph	NOUN
ejpam-5409	34	12	.	.	PUNCT
ejpam-5409	35	1	let	let	VERB
ejpam-5409	35	2	o	o	NOUN
ejpam-5409	35	3	be	be	AUX
ejpam-5409	35	4	a	a	DET
ejpam-5409	35	5	vertex	vertex	NOUN
ejpam-5409	35	6	of	of	ADP
ejpam-5409	35	7	h.	h.	PROPN
ejpam-5409	35	8	the	the	DET
ejpam-5409	35	9	comb	comb	NOUN
ejpam-5409	35	10	product	product	NOUN
ejpam-5409	35	11	between	between	ADP
ejpam-5409	35	12	g	g	PROPN
ejpam-5409	35	13	and	and	CCONJ
ejpam-5409	35	14	h	h	NOUN
ejpam-5409	35	15	,	,	PUNCT
ejpam-5409	35	16	denoted	denote	VERB
ejpam-5409	35	17	by	by	ADP
ejpam-5409	35	18	g▷oh	g▷oh	NOUN
ejpam-5409	35	19	,	,	PUNCT
ejpam-5409	35	20	is	be	AUX
ejpam-5409	35	21	a	a	DET
ejpam-5409	35	22	graph	graph	NOUN
ejpam-5409	35	23	obtained	obtain	VERB
ejpam-5409	35	24	by	by	ADP
ejpam-5409	35	25	taking	take	VERB
ejpam-5409	35	26	one	one	NUM
ejpam-5409	35	27	copy	copy	NOUN
ejpam-5409	35	28	of	of	ADP
ejpam-5409	35	29	g	g	PROPN
ejpam-5409	35	30	and	and	CCONJ
ejpam-5409	35	31	|v	|v	PROPN
ejpam-5409	35	32	(	(	PUNCT
ejpam-5409	35	33	g)|	g)|	NOUN
ejpam-5409	35	34	copies	copy	NOUN
ejpam-5409	35	35	of	of	ADP
ejpam-5409	35	36	h	h	NOUN
ejpam-5409	35	37	and	and	CCONJ
ejpam-5409	35	38	grafting	graft	VERB
ejpam-5409	35	39	the	the	DET
ejpam-5409	35	40	i−	i−	PROPN
ejpam-5409	35	41	th	th	X
ejpam-5409	35	42	copy	copy	NOUN
ejpam-5409	35	43	of	of	ADP
ejpam-5409	35	44	h	h	NOUN
ejpam-5409	35	45	at	at	ADP
ejpam-5409	35	46	the	the	DET
ejpam-5409	35	47	vertex	vertex	NOUN
ejpam-5409	35	48	o	o	NOUN
ejpam-5409	35	49	to	to	ADP
ejpam-5409	35	50	the	the	DET
ejpam-5409	35	51	i−	i−	PROPN
ejpam-5409	35	52	th	th	X
ejpam-5409	35	53	vertex	vertex	NOUN
ejpam-5409	35	54	of	of	ADP
ejpam-5409	35	55	g.	g.	PROPN
ejpam-5409	35	56	vivin	vivin	PROPN
ejpam-5409	35	57	and	and	CCONJ
ejpam-5409	35	58	venkatachalam	venkatachalam	VERB
ejpam-5409	36	1	[	[	X
ejpam-5409	36	2	12	12	NUM
ejpam-5409	36	3	]	]	PUNCT
ejpam-5409	36	4	determined	determine	VERB
ejpam-5409	36	5	b−coloring	b−coloring	NOUN
ejpam-5409	36	6	of	of	ADP
ejpam-5409	36	7	sun	sun	NOUN
ejpam-5409	36	8	let	let	VERB
ejpam-5409	36	9	graph	graph	NOUN
ejpam-5409	36	10	dan	dan	PROPN
ejpam-5409	36	11	wheel	wheel	PROPN
ejpam-5409	36	12	graph	graph	NOUN
ejpam-5409	36	13	families	family	NOUN
ejpam-5409	36	14	,	,	PUNCT
ejpam-5409	36	15	chandel	chandel	PROPN
ejpam-5409	36	16	et	et	PROPN
ejpam-5409	36	17	al	al	PROPN
ejpam-5409	36	18	.	.	PROPN
ejpam-5409	36	19	,	,	PUNCT
ejpam-5409	36	20	determined	determine	VERB
ejpam-5409	36	21	b−coloring	b−coloring	NOUN
ejpam-5409	36	22	of	of	ADP
ejpam-5409	36	23	ladder	ladder	NOUN
ejpam-5409	36	24	graph	graph	NOUN
ejpam-5409	36	25	[	[	X
ejpam-5409	36	26	4	4	NUM
ejpam-5409	36	27	]	]	PUNCT
ejpam-5409	36	28	,	,	PUNCT
ejpam-5409	36	29	ansari	ansari	PROPN
ejpam-5409	36	30	et	et	PROPN
ejpam-5409	36	31	al	al	PROPN
ejpam-5409	36	32	.	.	PROPN
ejpam-5409	36	33	,	,	PUNCT
ejpam-5409	36	34	determined	determine	VERB
ejpam-5409	36	35	b	b	X
ejpam-5409	36	36	-	-	PUNCT
ejpam-5409	36	37	coloring	coloring	NOUN
ejpam-5409	36	38	of	of	ADP
ejpam-5409	36	39	helm	helm	NOUN
ejpam-5409	36	40	graph	graph	NOUN
ejpam-5409	36	41	and	and	CCONJ
ejpam-5409	36	42	prism	prism	NOUN
ejpam-5409	36	43	graph	graph	NOUN
ejpam-5409	36	44	families	family	NOUN
ejpam-5409	36	45	[	[	X
ejpam-5409	36	46	2	2	X
ejpam-5409	36	47	]	]	X
ejpam-5409	37	1	[	[	X
ejpam-5409	37	2	3	3	NUM
ejpam-5409	37	3	]	]	PUNCT
ejpam-5409	37	4	,	,	PUNCT
ejpam-5409	37	5	akalyadevi	akalyadevi	PROPN
ejpam-5409	37	6	and	and	CCONJ
ejpam-5409	37	7	ramaswamy	ramaswamy	ADJ
ejpam-5409	37	8	determined	determined	ADJ
ejpam-5409	37	9	b−coloring	b−coloring	NOUN
ejpam-5409	37	10	of	of	ADP
ejpam-5409	37	11	net	net	ADJ
ejpam-5409	37	12	graph	graph	NOUN
ejpam-5409	37	13	families	family	NOUN
ejpam-5409	37	14	[	[	X
ejpam-5409	37	15	1	1	NUM
ejpam-5409	37	16	]	]	PUNCT
ejpam-5409	37	17	,	,	PUNCT
ejpam-5409	37	18	and	and	CCONJ
ejpam-5409	37	19	nagarathinam	nagarathinam	PROPN
ejpam-5409	37	20	dan	dan	PROPN
ejpam-5409	37	21	parvathi	parvathi	PROPN
ejpam-5409	37	22	determined	determine	VERB
ejpam-5409	37	23	b−coloring	b−coloring	NOUN
ejpam-5409	37	24	of	of	ADP
ejpam-5409	37	25	line	line	NOUN
ejpam-5409	37	26	,	,	PUNCT
ejpam-5409	37	27	middle	middle	ADJ
ejpam-5409	37	28	and	and	CCONJ
ejpam-5409	37	29	total	total	ADJ
ejpam-5409	37	30	graph	graph	NOUN
ejpam-5409	37	31	of	of	ADP
ejpam-5409	37	32	tadpole	tadpole	NOUN
ejpam-5409	37	33	graph	graph	NOUN
ejpam-5409	37	34	,	,	PUNCT
ejpam-5409	37	35	and	and	CCONJ
ejpam-5409	37	36	operator	operator	NOUN
ejpam-5409	37	37	graph	graph	NOUN
ejpam-5409	37	38	of	of	ADP
ejpam-5409	37	39	tadpole	tadpole	NOUN
ejpam-5409	37	40	and	and	CCONJ
ejpam-5409	37	41	wheel	wheel	NOUN
ejpam-5409	37	42	graph	graph	NOUN
ejpam-5409	38	1	[	[	X
ejpam-5409	38	2	9	9	NUM
ejpam-5409	38	3	]	]	X
ejpam-5409	38	4	[	[	X
ejpam-5409	38	5	10	10	NUM
ejpam-5409	38	6	]	]	PUNCT
ejpam-5409	38	7	.	.	PUNCT
ejpam-5409	39	1	determining	determine	VERB
ejpam-5409	39	2	the	the	DET
ejpam-5409	39	3	b−coloring	b−coloring	NOUN
ejpam-5409	39	4	is	be	AUX
ejpam-5409	39	5	considered	consider	VERB
ejpam-5409	39	6	to	to	PART
ejpam-5409	39	7	be	be	AUX
ejpam-5409	39	8	np	np	ADP
ejpam-5409	39	9	problem	problem	NOUN
ejpam-5409	39	10	,	,	PUNCT
ejpam-5409	39	11	thus	thus	ADV
ejpam-5409	39	12	finding	find	VERB
ejpam-5409	39	13	the	the	DET
ejpam-5409	39	14	exact	exact	ADJ
ejpam-5409	39	15	value	value	NOUN
ejpam-5409	39	16	of	of	ADP
ejpam-5409	39	17	b−chromatic	b−chromatic	ADJ
ejpam-5409	39	18	number	number	NOUN
ejpam-5409	39	19	is	be	AUX
ejpam-5409	39	20	still	still	ADV
ejpam-5409	39	21	open	open	ADJ
ejpam-5409	39	22	for	for	ADP
ejpam-5409	39	23	any	any	DET
ejpam-5409	39	24	or	or	CCONJ
ejpam-5409	39	25	specific	specific	ADJ
ejpam-5409	39	26	graphs	graph	NOUN
ejpam-5409	39	27	.	.	PUNCT
ejpam-5409	40	1	thus	thus	ADV
ejpam-5409	40	2	,	,	PUNCT
ejpam-5409	40	3	in	in	ADP
ejpam-5409	40	4	this	this	DET
ejpam-5409	40	5	study	study	NOUN
ejpam-5409	40	6	aims	aim	VERB
ejpam-5409	40	7	to	to	PART
ejpam-5409	40	8	analyze	analyze	VERB
ejpam-5409	40	9	the	the	DET
ejpam-5409	40	10	new	new	ADJ
ejpam-5409	40	11	results	result	NOUN
ejpam-5409	40	12	obtained	obtain	VERB
ejpam-5409	40	13	b	b	NUM
ejpam-5409	40	14	-	-	PUNCT
ejpam-5409	40	15	chromatic	chromatic	ADJ
ejpam-5409	40	16	number	number	NOUN
ejpam-5409	40	17	of	of	ADP
ejpam-5409	40	18	pn	pn	PROPN
ejpam-5409	40	19	▷v1	▷v1	PROPN
ejpam-5409	40	20	pm	pm	NOUN
ejpam-5409	40	21	graph	graph	NOUN
ejpam-5409	40	22	for	for	ADP
ejpam-5409	40	23	n	n	CCONJ
ejpam-5409	40	24	,	,	PUNCT
ejpam-5409	40	25	m	m	VERB
ejpam-5409	40	26	≥	≥	NOUN
ejpam-5409	40	27	8	8	NUM
ejpam-5409	40	28	and	and	CCONJ
ejpam-5409	40	29	ln	ln	ADJ
ejpam-5409	40	30	▷v1	▷v1	NOUN
ejpam-5409	40	31	pm	pm	NOUN
ejpam-5409	40	32	graph	graph	NOUN
ejpam-5409	40	33	for	for	ADP
ejpam-5409	40	34	n	n	CCONJ
ejpam-5409	40	35	,	,	PUNCT
ejpam-5409	40	36	m	m	VERB
ejpam-5409	40	37	≥	≥	NOUN
ejpam-5409	40	38	5	5	NUM
ejpam-5409	40	39	.	.	PUNCT
ejpam-5409	41	1	furthermore	furthermore	ADV
ejpam-5409	41	2	,	,	PUNCT
ejpam-5409	41	3	to	to	PART
ejpam-5409	41	4	see	see	VERB
ejpam-5409	41	5	the	the	DET
ejpam-5409	41	6	robust	robust	ADJ
ejpam-5409	41	7	application	application	NOUN
ejpam-5409	41	8	of	of	ADP
ejpam-5409	41	9	b−coloring	b−coloring	NOUN
ejpam-5409	41	10	of	of	ADP
ejpam-5409	41	11	graph	graph	NOUN
ejpam-5409	41	12	,	,	PUNCT
ejpam-5409	41	13	at	at	ADP
ejpam-5409	41	14	the	the	DET
ejpam-5409	41	15	end	end	NOUN
ejpam-5409	41	16	of	of	ADP
ejpam-5409	41	17	this	this	DET
ejpam-5409	41	18	paper	paper	NOUN
ejpam-5409	41	19	we	we	PRON
ejpam-5409	41	20	will	will	AUX
ejpam-5409	41	21	illustrate	illustrate	VERB
ejpam-5409	41	22	the	the	DET
ejpam-5409	41	23	implementation	implementation	NOUN
ejpam-5409	41	24	of	of	ADP
ejpam-5409	41	25	b−coloring	b−colore	VERB
ejpam-5409	41	26	on	on	ADP
ejpam-5409	41	27	spatial	spatial	ADJ
ejpam-5409	41	28	temporal	temporal	ADJ
ejpam-5409	41	29	graph	graph	NOUN
ejpam-5409	41	30	neural	neural	ADJ
ejpam-5409	41	31	networks	network	NOUN
ejpam-5409	41	32	(	(	PUNCT
ejpam-5409	41	33	stgnn	stgnn	NOUN
ejpam-5409	41	34	)	)	PUNCT
ejpam-5409	41	35	multi	multi	ADJ
ejpam-5409	41	36	-	-	ADJ
ejpam-5409	41	37	step	step	ADJ
ejpam-5409	41	38	time	time	NOUN
ejpam-5409	41	39	series	series	NOUN
ejpam-5409	41	40	forecasting	forecasting	NOUN
ejpam-5409	41	41	on	on	ADP
ejpam-5409	41	42	soil	soil	NOUN
ejpam-5409	41	43	moisture	moisture	NOUN
ejpam-5409	41	44	and	and	CCONJ
ejpam-5409	41	45	ph	ph	NOUN
ejpam-5409	41	46	of	of	ADP
ejpam-5409	41	47	companion	companion	NOUN
ejpam-5409	41	48	farming	farming	NOUN
ejpam-5409	41	49	.	.	PUNCT
ejpam-5409	42	1	companion	companion	NOUN
ejpam-5409	42	2	farming	farming	NOUN
ejpam-5409	42	3	is	be	AUX
ejpam-5409	42	4	a	a	DET
ejpam-5409	42	5	system	system	NOUN
ejpam-5409	42	6	where	where	SCONJ
ejpam-5409	42	7	two	two	NUM
ejpam-5409	42	8	or	or	CCONJ
ejpam-5409	42	9	more	more	ADJ
ejpam-5409	42	10	crops	crop	NOUN
ejpam-5409	42	11	are	be	AUX
ejpam-5409	42	12	grown	grow	VERB
ejpam-5409	42	13	simultaneously	simultaneously	ADV
ejpam-5409	42	14	on	on	ADP
ejpam-5409	42	15	the	the	DET
ejpam-5409	42	16	same	same	ADJ
ejpam-5409	42	17	farm	farm	NOUN
ejpam-5409	42	18	.	.	PUNCT
ejpam-5409	43	1	plants	plant	NOUN
ejpam-5409	43	2	are	be	AUX
ejpam-5409	43	3	planted	plant	VERB
ejpam-5409	43	4	alternately	alternately	ADV
ejpam-5409	43	5	in	in	ADP
ejpam-5409	43	6	straight	straight	ADJ
ejpam-5409	43	7	rows	row	NOUN
ejpam-5409	43	8	to	to	PART
ejpam-5409	43	9	create	create	VERB
ejpam-5409	43	10	a	a	DET
ejpam-5409	43	11	regular	regular	ADJ
ejpam-5409	43	12	cropping	cropping	NOUN
ejpam-5409	43	13	pattern	pattern	NOUN
ejpam-5409	43	14	.	.	PUNCT
ejpam-5409	44	1	the	the	DET
ejpam-5409	44	2	use	use	NOUN
ejpam-5409	44	3	of	of	ADP
ejpam-5409	44	4	companion	companion	NOUN
ejpam-5409	44	5	farming	farming	NOUN
ejpam-5409	44	6	aims	aim	VERB
ejpam-5409	44	7	to	to	PART
ejpam-5409	44	8	minimize	minimize	VERB
ejpam-5409	44	9	crop	crop	NOUN
ejpam-5409	44	10	pests	pest	NOUN
ejpam-5409	44	11	.	.	PUNCT
ejpam-5409	45	1	the	the	DET
ejpam-5409	45	2	b−coloring	b−colore	VERB
ejpam-5409	45	3	analysis	analysis	NOUN
ejpam-5409	45	4	on	on	ADP
ejpam-5409	45	5	companion	companion	NOUN
ejpam-5409	45	6	farming	farming	NOUN
ejpam-5409	45	7	is	be	AUX
ejpam-5409	45	8	used	use	VERB
ejpam-5409	45	9	to	to	PART
ejpam-5409	45	10	determine	determine	VERB
ejpam-5409	45	11	the	the	DET
ejpam-5409	45	12	number	number	NOUN
ejpam-5409	45	13	of	of	ADP
ejpam-5409	45	14	plant	plant	NOUN
ejpam-5409	45	15	species	specie	NOUN
ejpam-5409	45	16	,	,	PUNCT
ejpam-5409	45	17	so	so	SCONJ
ejpam-5409	45	18	that	that	SCONJ
ejpam-5409	45	19	in	in	ADP
ejpam-5409	45	20	the	the	DET
ejpam-5409	45	21	same	same	ADJ
ejpam-5409	45	22	land	land	NOUN
ejpam-5409	45	23	can	can	AUX
ejpam-5409	45	24	be	be	AUX
ejpam-5409	45	25	planted	plant	VERB
ejpam-5409	45	26	various	various	ADJ
ejpam-5409	45	27	types	type	NOUN
ejpam-5409	45	28	of	of	ADP
ejpam-5409	45	29	plants	plant	NOUN
ejpam-5409	45	30	.	.	PUNCT
ejpam-5409	46	1	there	there	ADV
ejpam-5409	46	2	a.	a.	PROPN
ejpam-5409	46	3	i.	i.	PROPN
ejpam-5409	46	4	kristiana	kristiana	PROPN
ejpam-5409	46	5	et	et	PROPN
ejpam-5409	46	6	al	al	PROPN
ejpam-5409	46	7	.	.	PUNCT
ejpam-5409	46	8	/	/	SYM
ejpam-5409	46	9	eur	eur	PROPN
ejpam-5409	46	10	.	.	PUNCT
ejpam-5409	47	1	j.	j.	PROPN
ejpam-5409	47	2	pure	pure	PROPN
ejpam-5409	47	3	appl	appl	PROPN
ejpam-5409	47	4	.	.	PROPN
ejpam-5409	47	5	math	math	PROPN
ejpam-5409	47	6	,	,	PUNCT
ejpam-5409	47	7	17	17	NUM
ejpam-5409	47	8	(	(	PUNCT
ejpam-5409	47	9	4	4	NUM
ejpam-5409	47	10	)	)	PUNCT
ejpam-5409	47	11	(	(	PUNCT
ejpam-5409	47	12	2024	2024	NUM
ejpam-5409	47	13	)	)	PUNCT
ejpam-5409	47	14	,	,	PUNCT
ejpam-5409	47	15	3356	3356	NUM
ejpam-5409	47	16	-	-	SYM
ejpam-5409	47	17	3369	3369	NUM
ejpam-5409	47	18	3358	3358	NOUN
ejpam-5409	47	19	are	be	AUX
ejpam-5409	47	20	factors	factor	NOUN
ejpam-5409	47	21	that	that	PRON
ejpam-5409	47	22	affect	affect	VERB
ejpam-5409	47	23	the	the	DET
ejpam-5409	47	24	growth	growth	NOUN
ejpam-5409	47	25	and	and	CCONJ
ejpam-5409	47	26	yield	yield	NOUN
ejpam-5409	47	27	of	of	ADP
ejpam-5409	47	28	companion	companion	NOUN
ejpam-5409	47	29	plants	plant	NOUN
ejpam-5409	47	30	,	,	PUNCT
ejpam-5409	47	31	namely	namely	ADV
ejpam-5409	47	32	soil	soil	NOUN
ejpam-5409	47	33	moisture	moisture	NOUN
ejpam-5409	47	34	and	and	CCONJ
ejpam-5409	47	35	ph	ph	NOUN
ejpam-5409	47	36	.	.	PROPN
ejpam-5409	47	37	both	both	PRON
ejpam-5409	47	38	of	of	ADP
ejpam-5409	47	39	these	these	DET
ejpam-5409	47	40	factors	factor	NOUN
ejpam-5409	47	41	can	can	AUX
ejpam-5409	47	42	have	have	VERB
ejpam-5409	47	43	an	an	DET
ejpam-5409	47	44	impact	impact	NOUN
ejpam-5409	47	45	on	on	ADP
ejpam-5409	47	46	productivity	productivity	NOUN
ejpam-5409	47	47	and	and	CCONJ
ejpam-5409	47	48	plant	plant	NOUN
ejpam-5409	47	49	health	health	NOUN
ejpam-5409	47	50	in	in	ADP
ejpam-5409	47	51	companion	companion	NOUN
ejpam-5409	47	52	farming	farming	NOUN
ejpam-5409	47	53	.	.	PUNCT
ejpam-5409	48	1	to	to	PART
ejpam-5409	48	2	predict	predict	VERB
ejpam-5409	48	3	the	the	DET
ejpam-5409	48	4	soil	soil	NOUN
ejpam-5409	48	5	moisture	moisture	NOUN
ejpam-5409	48	6	and	and	CCONJ
ejpam-5409	48	7	ph	ph	NOUN
ejpam-5409	48	8	is	be	AUX
ejpam-5409	48	9	very	very	ADV
ejpam-5409	48	10	important	important	ADJ
ejpam-5409	48	11	,	,	PUNCT
ejpam-5409	48	12	since	since	SCONJ
ejpam-5409	48	13	predicting	predict	VERB
ejpam-5409	48	14	soil	soil	NOUN
ejpam-5409	48	15	moisture	moisture	NOUN
ejpam-5409	48	16	and	and	CCONJ
ejpam-5409	48	17	ph	ph	NOUN
ejpam-5409	48	18	is	be	AUX
ejpam-5409	48	19	crucial	crucial	ADJ
ejpam-5409	48	20	for	for	ADP
ejpam-5409	48	21	successful	successful	ADJ
ejpam-5409	48	22	agricultural	agricultural	ADJ
ejpam-5409	48	23	management	management	NOUN
ejpam-5409	48	24	and	and	CCONJ
ejpam-5409	48	25	environmental	environmental	ADJ
ejpam-5409	48	26	monitoring	monitoring	NOUN
ejpam-5409	48	27	.	.	PUNCT
ejpam-5409	49	1	both	both	PRON
ejpam-5409	49	2	soil	soil	NOUN
ejpam-5409	49	3	moisture	moisture	NOUN
ejpam-5409	49	4	and	and	CCONJ
ejpam-5409	49	5	ph	ph	ADJ
ejpam-5409	49	6	levels	level	NOUN
ejpam-5409	49	7	play	play	VERB
ejpam-5409	49	8	significant	significant	ADJ
ejpam-5409	49	9	roles	role	NOUN
ejpam-5409	49	10	in	in	ADP
ejpam-5409	49	11	determining	determine	VERB
ejpam-5409	49	12	the	the	DET
ejpam-5409	49	13	health	health	NOUN
ejpam-5409	49	14	and	and	CCONJ
ejpam-5409	49	15	productivity	productivity	NOUN
ejpam-5409	49	16	of	of	ADP
ejpam-5409	49	17	plants	plant	NOUN
ejpam-5409	49	18	.	.	PUNCT
ejpam-5409	50	1	the	the	DET
ejpam-5409	50	2	best	good	ADJ
ejpam-5409	50	3	tool	tool	NOUN
ejpam-5409	50	4	for	for	ADP
ejpam-5409	50	5	predicting	predict	VERB
ejpam-5409	50	6	them	they	PRON
ejpam-5409	50	7	is	be	AUX
ejpam-5409	50	8	using	use	VERB
ejpam-5409	50	9	machine	machine	NOUN
ejpam-5409	50	10	learning	learning	NOUN
ejpam-5409	50	11	,	,	PUNCT
ejpam-5409	50	12	spatialtemporal	spatialtemporal	ADJ
ejpam-5409	50	13	graph	graph	NOUN
ejpam-5409	50	14	neural	neural	ADJ
ejpam-5409	50	15	network	network	NOUN
ejpam-5409	50	16	(	(	PUNCT
ejpam-5409	50	17	stgnn	stgnn	NOUN
ejpam-5409	50	18	)	)	PUNCT
ejpam-5409	50	19	.	.	PUNCT
ejpam-5409	51	1	a	a	DET
ejpam-5409	51	2	spatial	spatial	ADJ
ejpam-5409	51	3	-	-	PUNCT
ejpam-5409	51	4	temporal	temporal	ADJ
ejpam-5409	51	5	graph	graph	NOUN
ejpam-5409	51	6	neural	neural	ADJ
ejpam-5409	51	7	network	network	NOUN
ejpam-5409	51	8	(	(	PUNCT
ejpam-5409	51	9	stgnn	stgnn	NOUN
ejpam-5409	51	10	)	)	PUNCT
ejpam-5409	51	11	is	be	AUX
ejpam-5409	51	12	a	a	DET
ejpam-5409	51	13	type	type	NOUN
ejpam-5409	51	14	of	of	ADP
ejpam-5409	51	15	neural	neural	ADJ
ejpam-5409	51	16	network	network	NOUN
ejpam-5409	51	17	architecture	architecture	NOUN
ejpam-5409	51	18	designed	design	VERB
ejpam-5409	51	19	to	to	PART
ejpam-5409	51	20	model	model	VERB
ejpam-5409	51	21	and	and	CCONJ
ejpam-5409	51	22	analyze	analyze	VERB
ejpam-5409	51	23	data	datum	NOUN
ejpam-5409	51	24	that	that	PRON
ejpam-5409	51	25	has	have	VERB
ejpam-5409	51	26	both	both	CCONJ
ejpam-5409	51	27	spatial	spatial	ADJ
ejpam-5409	51	28	and	and	CCONJ
ejpam-5409	51	29	temporal	temporal	ADJ
ejpam-5409	51	30	dependencies	dependency	NOUN
ejpam-5409	51	31	,	,	PUNCT
ejpam-5409	51	32	particularly	particularly	ADV
ejpam-5409	51	33	in	in	ADP
ejpam-5409	51	34	the	the	DET
ejpam-5409	51	35	context	context	NOUN
ejpam-5409	51	36	of	of	ADP
ejpam-5409	51	37	graphs	graph	NOUN
ejpam-5409	51	38	.	.	PUNCT
ejpam-5409	52	1	it	it	PRON
ejpam-5409	52	2	combines	combine	VERB
ejpam-5409	52	3	concepts	concept	NOUN
ejpam-5409	52	4	from	from	ADP
ejpam-5409	52	5	graph	graph	NOUN
ejpam-5409	52	6	neural	neural	ADJ
ejpam-5409	52	7	networks	network	NOUN
ejpam-5409	52	8	(	(	PUNCT
ejpam-5409	52	9	gnns	gnns	NOUN
ejpam-5409	52	10	)	)	PUNCT
ejpam-5409	52	11	and	and	CCONJ
ejpam-5409	52	12	temporal	temporal	ADJ
ejpam-5409	52	13	models	model	NOUN
ejpam-5409	52	14	to	to	PART
ejpam-5409	52	15	handle	handle	VERB
ejpam-5409	52	16	data	datum	NOUN
ejpam-5409	52	17	with	with	ADP
ejpam-5409	52	18	both	both	CCONJ
ejpam-5409	52	19	spatial	spatial	ADJ
ejpam-5409	52	20	and	and	CCONJ
ejpam-5409	52	21	temporal	temporal	ADJ
ejpam-5409	52	22	dimensions	dimension	NOUN
ejpam-5409	52	23	.	.	PUNCT
ejpam-5409	53	1	thus	thus	ADV
ejpam-5409	53	2	,	,	PUNCT
ejpam-5409	53	3	in	in	ADP
ejpam-5409	53	4	this	this	DET
ejpam-5409	53	5	study	study	NOUN
ejpam-5409	53	6	,	,	PUNCT
ejpam-5409	53	7	we	we	PRON
ejpam-5409	53	8	will	will	AUX
ejpam-5409	53	9	implement	implement	VERB
ejpam-5409	53	10	stgnn	stgnn	NOUN
ejpam-5409	53	11	multi	multi	ADJ
ejpam-5409	53	12	-	-	ADJ
ejpam-5409	53	13	step	step	ADJ
ejpam-5409	53	14	time	time	NOUN
ejpam-5409	53	15	series	series	NOUN
ejpam-5409	53	16	forecasting	forecasting	NOUN
ejpam-5409	53	17	for	for	ADP
ejpam-5409	53	18	soil	soil	NOUN
ejpam-5409	53	19	moisture	moisture	NOUN
ejpam-5409	53	20	and	and	CCONJ
ejpam-5409	53	21	ph	ph	ADJ
ejpam-5409	53	22	.	.	NOUN
ejpam-5409	53	23	2	2	NUM
ejpam-5409	53	24	.	.	PUNCT
ejpam-5409	53	25	the	the	DET
ejpam-5409	53	26	methods	method	NOUN
ejpam-5409	53	27	the	the	DET
ejpam-5409	53	28	research	research	NOUN
ejpam-5409	53	29	methods	method	NOUN
ejpam-5409	53	30	used	use	VERB
ejpam-5409	53	31	in	in	ADP
ejpam-5409	53	32	this	this	DET
ejpam-5409	53	33	research	research	NOUN
ejpam-5409	53	34	are	be	AUX
ejpam-5409	53	35	pattern	pattern	NOUN
ejpam-5409	53	36	recognition	recognition	NOUN
ejpam-5409	53	37	method	method	NOUN
ejpam-5409	53	38	,	,	PUNCT
ejpam-5409	53	39	axiomatic	axiomatic	ADJ
ejpam-5409	53	40	deductive	deductive	ADJ
ejpam-5409	53	41	method	method	NOUN
ejpam-5409	53	42	,	,	PUNCT
ejpam-5409	53	43	and	and	CCONJ
ejpam-5409	53	44	application	application	NOUN
ejpam-5409	53	45	research	research	NOUN
ejpam-5409	53	46	method	method	NOUN
ejpam-5409	53	47	.	.	PUNCT
ejpam-5409	54	1	in	in	ADP
ejpam-5409	54	2	this	this	DET
ejpam-5409	54	3	study	study	NOUN
ejpam-5409	54	4	,	,	PUNCT
ejpam-5409	54	5	it	it	PRON
ejpam-5409	54	6	explains	explain	VERB
ejpam-5409	54	7	related	relate	VERB
ejpam-5409	54	8	to	to	ADP
ejpam-5409	54	9	the	the	DET
ejpam-5409	54	10	application	application	NOUN
ejpam-5409	54	11	scheme	scheme	NOUN
ejpam-5409	54	12	of	of	ADP
ejpam-5409	54	13	the	the	DET
ejpam-5409	54	14	spatial	spatial	ADJ
ejpam-5409	54	15	-	-	PUNCT
ejpam-5409	54	16	temporal	temporal	ADJ
ejpam-5409	54	17	graph	graph	NOUN
ejpam-5409	54	18	neural	neural	ADJ
ejpam-5409	54	19	network	network	NOUN
ejpam-5409	54	20	on	on	ADP
ejpam-5409	54	21	the	the	DET
ejpam-5409	54	22	problem	problem	NOUN
ejpam-5409	54	23	of	of	ADP
ejpam-5409	54	24	forecasting	forecast	VERB
ejpam-5409	54	25	soil	soil	NOUN
ejpam-5409	54	26	moisture	moisture	NOUN
ejpam-5409	54	27	and	and	CCONJ
ejpam-5409	54	28	ph	ph	ADJ
ejpam-5409	54	29	in	in	ADP
ejpam-5409	54	30	companion	companion	NOUN
ejpam-5409	54	31	plants	plant	NOUN
ejpam-5409	54	32	with	with	ADP
ejpam-5409	54	33	a	a	DET
ejpam-5409	54	34	multi	multi	ADJ
ejpam-5409	54	35	-	-	ADJ
ejpam-5409	54	36	step	step	ADJ
ejpam-5409	54	37	time	time	NOUN
ejpam-5409	54	38	series	series	PROPN
ejpam-5409	54	39	forecasting	forecasting	PROPN
ejpam-5409	54	40	.	.	PUNCT
ejpam-5409	55	1	the	the	DET
ejpam-5409	55	2	numerical	numerical	PROPN
ejpam-5409	55	3	simulation	simulation	PROPN
ejpam-5409	55	4	used	use	VERB
ejpam-5409	55	5	to	to	PART
ejpam-5409	55	6	run	run	VERB
ejpam-5409	55	7	the	the	DET
ejpam-5409	55	8	programming	programming	NOUN
ejpam-5409	55	9	uses	use	VERB
ejpam-5409	55	10	google	google	PROPN
ejpam-5409	55	11	collaborator	collaborator	NOUN
ejpam-5409	55	12	.	.	PUNCT
ejpam-5409	56	1	furthermore	furthermore	ADV
ejpam-5409	56	2	,	,	PUNCT
ejpam-5409	56	3	stgnn	stgnn	NOUN
ejpam-5409	56	4	programming	programming	NOUN
ejpam-5409	56	5	will	will	AUX
ejpam-5409	56	6	be	be	AUX
ejpam-5409	56	7	developed	develop	VERB
ejpam-5409	56	8	,	,	PUNCT
ejpam-5409	56	9	training	train	VERB
ejpam-5409	56	10	the	the	DET
ejpam-5409	56	11	model	model	NOUN
ejpam-5409	56	12	using	use	VERB
ejpam-5409	56	13	60	60	NUM
ejpam-5409	56	14	%	%	NOUN
ejpam-5409	56	15	input	input	NOUN
ejpam-5409	56	16	data	datum	NOUN
ejpam-5409	56	17	obtained	obtain	VERB
ejpam-5409	56	18	from	from	ADP
ejpam-5409	56	19	the	the	DET
ejpam-5409	56	20	vertex	vertex	NOUN
ejpam-5409	56	21	embedding	embed	VERB
ejpam-5409	56	22	process	process	NOUN
ejpam-5409	56	23	,	,	PUNCT
ejpam-5409	56	24	testing	testing	NOUN
ejpam-5409	56	25	and	and	CCONJ
ejpam-5409	56	26	finally	finally	ADV
ejpam-5409	56	27	forecasting	forecast	VERB
ejpam-5409	56	28	soil	soil	NOUN
ejpam-5409	56	29	moisture	moisture	NOUN
ejpam-5409	56	30	and	and	CCONJ
ejpam-5409	56	31	ph	ph	ADJ
ejpam-5409	56	32	.	.	PROPN
ejpam-5409	56	33	soil	soil	NOUN
ejpam-5409	56	34	moisture	moisture	NOUN
ejpam-5409	56	35	and	and	CCONJ
ejpam-5409	56	36	ph	ph	NOUN
ejpam-5409	56	37	are	be	AUX
ejpam-5409	56	38	two	two	NUM
ejpam-5409	56	39	important	important	ADJ
ejpam-5409	56	40	factors	factor	NOUN
ejpam-5409	56	41	and	and	CCONJ
ejpam-5409	56	42	affect	affect	VERB
ejpam-5409	56	43	plant	plant	NOUN
ejpam-5409	56	44	growth	growth	NOUN
ejpam-5409	56	45	conditions	condition	NOUN
ejpam-5409	56	46	and	and	CCONJ
ejpam-5409	56	47	the	the	DET
ejpam-5409	56	48	balance	balance	NOUN
ejpam-5409	56	49	of	of	ADP
ejpam-5409	56	50	the	the	DET
ejpam-5409	56	51	soil	soil	NOUN
ejpam-5409	56	52	ecosystem	ecosystem	NOUN
ejpam-5409	56	53	.	.	PUNCT
ejpam-5409	57	1	we	we	PRON
ejpam-5409	57	2	use	use	VERB
ejpam-5409	57	3	the	the	DET
ejpam-5409	57	4	following	follow	VERB
ejpam-5409	57	5	algorithm	algorithm	NOUN
ejpam-5409	57	6	for	for	ADP
ejpam-5409	57	7	studying	study	VERB
ejpam-5409	57	8	companion	companion	NOUN
ejpam-5409	57	9	planting	planting	NOUN
ejpam-5409	57	10	distribution	distribution	NOUN
ejpam-5409	57	11	by	by	ADP
ejpam-5409	57	12	using	use	VERB
ejpam-5409	57	13	stgnn	stgnn	NOUN
ejpam-5409	57	14	combined	combine	VERB
ejpam-5409	57	15	by	by	ADP
ejpam-5409	57	16	b−coloring	b−colore	VERB
ejpam-5409	57	17	.	.	PUNCT
ejpam-5409	58	1	single	single	ADJ
ejpam-5409	58	2	layer	layer	NOUN
ejpam-5409	58	3	stgnn	stgnn	NOUN
ejpam-5409	58	4	algorithm	algorithm	PROPN
ejpam-5409	58	5	step	step	NOUN
ejpam-5409	58	6	0	0	NUM
ejpam-5409	58	7	.	.	PUNCT
ejpam-5409	59	1	considering	consider	VERB
ejpam-5409	59	2	a	a	DET
ejpam-5409	59	3	graph	graph	NOUN
ejpam-5409	59	4	g(v	g(v	NOUN
ejpam-5409	59	5	,	,	PUNCT
ejpam-5409	59	6	e	e	NOUN
ejpam-5409	59	7	)	)	PUNCT
ejpam-5409	59	8	of	of	ADP
ejpam-5409	59	9	order	order	NOUN
ejpam-5409	59	10	n	n	PRON
ejpam-5409	59	11	with	with	ADP
ejpam-5409	59	12	n	n	ADP
ejpam-5409	59	13	vertices	vertex	NOUN
ejpam-5409	59	14	and	and	CCONJ
ejpam-5409	59	15	m	m	NOUN
ejpam-5409	59	16	features	feature	NOUN
ejpam-5409	59	17	,	,	PUNCT
ejpam-5409	59	18	a	a	DET
ejpam-5409	59	19	and	and	CCONJ
ejpam-5409	59	20	feature	feature	NOUN
ejpam-5409	59	21	matrix	matrix	NOUN
ejpam-5409	59	22	hn×m	hn×m	PROPN
ejpam-5409	59	23	from	from	ADP
ejpam-5409	59	24	certain	certain	ADJ
ejpam-5409	59	25	companion	companion	NOUN
ejpam-5409	59	26	plantations	plantation	NOUN
ejpam-5409	59	27	,	,	PUNCT
ejpam-5409	59	28	and	and	CCONJ
ejpam-5409	59	29	provide	provide	VERB
ejpam-5409	59	30	a	a	DET
ejpam-5409	59	31	tolerance	tolerance	NOUN
ejpam-5409	59	32	ϵ.	ϵ.	NOUN
ejpam-5409	59	33	step	step	NOUN
ejpam-5409	59	34	1	1	NUM
ejpam-5409	59	35	.	.	PUNCT
ejpam-5409	59	36	construct	construct	VERB
ejpam-5409	59	37	the	the	DET
ejpam-5409	59	38	matrix	matrix	NOUN
ejpam-5409	59	39	adjacency	adjacency	NOUN
ejpam-5409	59	40	a	a	PRON
ejpam-5409	59	41	of	of	ADP
ejpam-5409	59	42	graph	graph	NOUN
ejpam-5409	59	43	g	g	NOUN
ejpam-5409	59	44	arising	arise	VERB
ejpam-5409	59	45	from	from	ADP
ejpam-5409	59	46	spatial	spatial	NOUN
ejpam-5409	59	47	of	of	ADP
ejpam-5409	59	48	companion	companion	NOUN
ejpam-5409	59	49	plantations	plantation	NOUN
ejpam-5409	59	50	and	and	CCONJ
ejpam-5409	59	51	set	set	VERB
ejpam-5409	59	52	a	a	DET
ejpam-5409	59	53	matrix	matrix	NOUN
ejpam-5409	59	54	b	b	NOUN
ejpam-5409	59	55	=	=	PUNCT
ejpam-5409	59	56	a+i	a+i	PROPN
ejpam-5409	59	57	,	,	PUNCT
ejpam-5409	59	58	where	where	SCONJ
ejpam-5409	59	59	i	i	PRON
ejpam-5409	59	60	is	be	AUX
ejpam-5409	59	61	an	an	DET
ejpam-5409	59	62	identity	identity	NOUN
ejpam-5409	59	63	matrix	matrix	NOUN
ejpam-5409	59	64	.	.	PUNCT
ejpam-5409	60	1	step	step	NOUN
ejpam-5409	60	2	2	2	NUM
ejpam-5409	60	3	.	.	PUNCT
ejpam-5409	61	1	set	set	VERB
ejpam-5409	61	2	weights	weight	NOUN
ejpam-5409	61	3	w	w	PROPN
ejpam-5409	61	4	to	to	PART
ejpam-5409	61	5	start	start	VERB
ejpam-5409	61	6	,	,	PUNCT
ejpam-5409	61	7	bias	bias	VERB
ejpam-5409	61	8	β	β	NOUN
ejpam-5409	61	9	,	,	PUNCT
ejpam-5409	61	10	learning	learn	VERB
ejpam-5409	61	11	rate	rate	NOUN
ejpam-5409	61	12	α	α	NOUN
ejpam-5409	61	13	.	.	PUNCT
ejpam-5409	62	1	(	(	PUNCT
ejpam-5409	62	2	for	for	ADP
ejpam-5409	62	3	ease	ease	NOUN
ejpam-5409	62	4	of	of	ADP
ejpam-5409	62	5	understanding	understanding	NOUN
ejpam-5409	62	6	,	,	PUNCT
ejpam-5409	62	7	set	set	VERB
ejpam-5409	62	8	wm×1	wm×1	X
ejpam-5409	63	1	=	=	PUNCT
ejpam-5409	64	1	[	[	X
ejpam-5409	64	2	w1	w1	NOUN
ejpam-5409	64	3	w2	w2	NOUN
ejpam-5409	64	4	.	.	PUNCT
ejpam-5409	64	5	.	.	PUNCT
ejpam-5409	64	6	.	.	PUNCT
ejpam-5409	65	1	wm	wm	PROPN
ejpam-5409	65	2	]	]	PUNCT
ejpam-5409	65	3	,	,	PUNCT
ejpam-5409	65	4	where	where	SCONJ
ejpam-5409	65	5	0	0	X
ejpam-5409	65	6	<	<	X
ejpam-5409	65	7	wj	wj	X
ejpam-5409	65	8	<	<	X
ejpam-5409	65	9	1	1	NUM
ejpam-5409	65	10	,	,	PUNCT
ejpam-5409	65	11	bias	bias	NOUN
ejpam-5409	65	12	β	β	NOUN
ejpam-5409	65	13	=	=	SYM
ejpam-5409	65	14	0	0	NUM
ejpam-5409	65	15	and	and	CCONJ
ejpam-5409	65	16	0	0	NUM
ejpam-5409	65	17	<	<	X
ejpam-5409	65	18	α	α	X
ejpam-5409	65	19	<	<	X
ejpam-5409	65	20	1	1	NUM
ejpam-5409	65	21	)	)	PUNCT
ejpam-5409	65	22	step	step	NOUN
ejpam-5409	65	23	3	3	NUM
ejpam-5409	65	24	.	.	PUNCT
ejpam-5409	66	1	set	set	VERB
ejpam-5409	66	2	a	a	DET
ejpam-5409	66	3	message	message	NOUN
ejpam-5409	66	4	function	function	NOUN
ejpam-5409	66	5	mu	mu	PROPN
ejpam-5409	66	6	l	l	NOUN
ejpam-5409	66	7	=	=	SYM
ejpam-5409	66	8	msgl(hl−1	msgl(hl−1	NOUN
ejpam-5409	66	9	u	u	NOUN
ejpam-5409	66	10	)	)	PUNCT
ejpam-5409	66	11	for	for	ADP
ejpam-5409	66	12	the	the	DET
ejpam-5409	66	13	linear	linear	ADJ
ejpam-5409	66	14	layer	layer	NOUN
ejpam-5409	66	15	mu	mu	NOUN
ejpam-5409	66	16	l	l	PROPN
ejpam-5409	67	1	=	=	PUNCT
ejpam-5409	67	2	w	w	NOUN
ejpam-5409	67	3	l(hl−1	l(hl−1	X
ejpam-5409	67	4	u	u	NOUN
ejpam-5409	67	5	)	)	PUNCT
ejpam-5409	67	6	to	to	PART
ejpam-5409	67	7	multiply	multiply	VERB
ejpam-5409	67	8	the	the	DET
ejpam-5409	67	9	weight	weight	NOUN
ejpam-5409	67	10	matrix	matrix	NOUN
ejpam-5409	67	11	with	with	ADP
ejpam-5409	67	12	vertex	vertex	NOUN
ejpam-5409	67	13	features	feature	NOUN
ejpam-5409	67	14	.	.	PUNCT
ejpam-5409	68	1	step	step	NOUN
ejpam-5409	68	2	4	4	NUM
ejpam-5409	68	3	.	.	PUNCT
ejpam-5409	68	4	combine	combine	VERB
ejpam-5409	68	5	the	the	DET
ejpam-5409	68	6	signals	signal	NOUN
ejpam-5409	68	7	from	from	ADP
ejpam-5409	68	8	the	the	DET
ejpam-5409	68	9	neighbors	neighbor	NOUN
ejpam-5409	68	10	of	of	ADP
ejpam-5409	68	11	vertex	vertex	NOUN
ejpam-5409	68	12	v	v	NOUN
ejpam-5409	68	13	by	by	ADP
ejpam-5409	68	14	setting	set	VERB
ejpam-5409	68	15	function	function	NOUN
ejpam-5409	68	16	hlv	hlv	NOUN
ejpam-5409	69	1	=	=	PUNCT
ejpam-5409	69	2	aggl{ml−1	aggl{ml−1	NOUN
ejpam-5409	69	3	u	u	NOUN
ejpam-5409	69	4	,	,	PUNCT
ejpam-5409	69	5	u	u	PROPN
ejpam-5409	69	6	∈	∈	PROPN
ejpam-5409	69	7	n(v	n(v	PROPN
ejpam-5409	69	8	)	)	PUNCT
ejpam-5409	69	9	}	}	PUNCT
ejpam-5409	69	10	,	,	PUNCT
ejpam-5409	69	11	and	and	CCONJ
ejpam-5409	69	12	by	by	ADP
ejpam-5409	69	13	utilizing	utilize	VERB
ejpam-5409	69	14	the	the	DET
ejpam-5409	69	15	sum	sum	NOUN
ejpam-5409	69	16	(	(	PUNCT
ejpam-5409	69	17	·	·	PUNCT
ejpam-5409	69	18	)	)	PUNCT
ejpam-5409	69	19	function	function	NOUN
ejpam-5409	69	20	hlv	hlv	NOUN
ejpam-5409	69	21	=	=	PUNCT
ejpam-5409	69	22	sum	sum	NOUN
ejpam-5409	69	23	l{ml−1	l{ml−1	VERB
ejpam-5409	69	24	u	u	PROPN
ejpam-5409	69	25	,	,	PUNCT
ejpam-5409	69	26	u	u	PROPN
ejpam-5409	69	27	∈	∈	PROPN
ejpam-5409	69	28	n(v	n(v	PROPN
ejpam-5409	69	29	)	)	PUNCT
ejpam-5409	69	30	}	}	PUNCT
ejpam-5409	69	31	in	in	ADP
ejpam-5409	69	32	connection	connection	NOUN
ejpam-5409	69	33	with	with	ADP
ejpam-5409	69	34	matrix	matrix	NOUN
ejpam-5409	69	35	b.	b.	PROPN
ejpam-5409	69	36	step	step	NOUN
ejpam-5409	69	37	5	5	NUM
ejpam-5409	69	38	.	.	PUNCT
ejpam-5409	69	39	construct	construct	VERB
ejpam-5409	69	40	the	the	DET
ejpam-5409	69	41	error	error	NOUN
ejpam-5409	69	42	,	,	PUNCT
ejpam-5409	69	43	by	by	ADP
ejpam-5409	69	44	setting	set	VERB
ejpam-5409	69	45	errorl	errorl	NOUN
ejpam-5409	69	46	=	=	SYM
ejpam-5409	69	47	||hvi−hvj	||hvi−hvj	VERB
ejpam-5409	69	48	||2	||2	NOUN
ejpam-5409	69	49	|e|	|e|	NOUN
ejpam-5409	69	50	,	,	PUNCT
ejpam-5409	69	51	where	where	SCONJ
ejpam-5409	69	52	vi	vi	X
ejpam-5409	69	53	,	,	PUNCT
ejpam-5409	69	54	vj	vj	X
ejpam-5409	69	55	are	be	AUX
ejpam-5409	69	56	vertices	vertex	NOUN
ejpam-5409	69	57	a.	a.	PROPN
ejpam-5409	69	58	i.	i.	PROPN
ejpam-5409	69	59	kristiana	kristiana	PROPN
ejpam-5409	69	60	et	et	PROPN
ejpam-5409	69	61	al	al	PROPN
ejpam-5409	69	62	.	.	PUNCT
ejpam-5409	69	63	/	/	SYM
ejpam-5409	69	64	eur	eur	PROPN
ejpam-5409	69	65	.	.	PUNCT
ejpam-5409	70	1	j.	j.	PROPN
ejpam-5409	70	2	pure	pure	PROPN
ejpam-5409	70	3	appl	appl	PROPN
ejpam-5409	70	4	.	.	PROPN
ejpam-5409	70	5	math	math	PROPN
ejpam-5409	70	6	,	,	PUNCT
ejpam-5409	70	7	17	17	NUM
ejpam-5409	70	8	(	(	PUNCT
ejpam-5409	70	9	4	4	NUM
ejpam-5409	70	10	)	)	PUNCT
ejpam-5409	70	11	(	(	PUNCT
ejpam-5409	70	12	2024	2024	NUM
ejpam-5409	70	13	)	)	PUNCT
ejpam-5409	70	14	,	,	PUNCT
ejpam-5409	70	15	3356	3356	NUM
ejpam-5409	70	16	-	-	SYM
ejpam-5409	70	17	3369	3369	NUM
ejpam-5409	70	18	3359	3359	NUM
ejpam-5409	70	19	that	that	PRON
ejpam-5409	70	20	are	be	AUX
ejpam-5409	70	21	next	next	ADJ
ejpam-5409	70	22	to	to	ADP
ejpam-5409	70	23	one	one	NUM
ejpam-5409	70	24	other	other	ADJ
ejpam-5409	70	25	.	.	PUNCT
ejpam-5409	71	1	step	step	NOUN
ejpam-5409	71	2	6	6	NUM
ejpam-5409	71	3	.	.	PUNCT
ejpam-5409	72	1	check	check	VERB
ejpam-5409	72	2	if	if	SCONJ
ejpam-5409	72	3	error	error	NOUN
ejpam-5409	72	4	≤	≤	NOUN
ejpam-5409	72	5	ϵ	ϵ	ADP
ejpam-5409	72	6	or	or	CCONJ
ejpam-5409	72	7	not	not	PART
ejpam-5409	72	8	.	.	PUNCT
ejpam-5409	73	1	if	if	SCONJ
ejpam-5409	73	2	yes	yes	INTJ
ejpam-5409	73	3	end	end	VERB
ejpam-5409	73	4	the	the	DET
ejpam-5409	73	5	process	process	NOUN
ejpam-5409	73	6	,	,	PUNCT
ejpam-5409	73	7	if	if	SCONJ
ejpam-5409	73	8	not	not	PART
ejpam-5409	73	9	proceed	proceed	VERB
ejpam-5409	73	10	to	to	PART
ejpam-5409	73	11	refresh	refresh	VERB
ejpam-5409	73	12	the	the	DET
ejpam-5409	73	13	learning	learning	NOUN
ejpam-5409	73	14	weight	weight	NOUN
ejpam-5409	73	15	matrix	matrix	NOUN
ejpam-5409	73	16	w	w	NOUN
ejpam-5409	73	17	in	in	ADP
ejpam-5409	73	18	step	step	NOUN
ejpam-5409	73	19	7	7	NUM
ejpam-5409	73	20	.	.	PUNCT
ejpam-5409	73	21	step	step	NOUN
ejpam-5409	73	22	7	7	NUM
ejpam-5409	73	23	.	.	PUNCT
ejpam-5409	73	24	set	set	VERB
ejpam-5409	73	25	w	w	ADP
ejpam-5409	73	26	l+1	l+1	X
ejpam-5409	73	27	=	=	PUNCT
ejpam-5409	74	1	w	w	PROPN
ejpam-5409	74	2	l	l	PROPN
ejpam-5409	74	3	j	j	PROPN
ejpam-5409	74	4	−	−	PROPN
ejpam-5409	74	5	α	α	INTJ
ejpam-5409	74	6	×	×	PROPN
ejpam-5409	74	7	zj	zj	X
ejpam-5409	74	8	×	×	PROPN
ejpam-5409	74	9	el	el	PROPN
ejpam-5409	74	10	for	for	ADP
ejpam-5409	74	11	updating	update	VERB
ejpam-5409	74	12	the	the	DET
ejpam-5409	74	13	learning	learn	VERB
ejpam-5409	74	14	weight	weight	NOUN
ejpam-5409	74	15	matrix	matrix	NOUN
ejpam-5409	74	16	where	where	SCONJ
ejpam-5409	74	17	the	the	DET
ejpam-5409	74	18	total	total	NOUN
ejpam-5409	74	19	of	of	ADP
ejpam-5409	74	20	each	each	DET
ejpam-5409	74	21	column	column	NOUN
ejpam-5409	74	22	in	in	ADP
ejpam-5409	74	23	the	the	DET
ejpam-5409	74	24	h	h	NOUN
ejpam-5409	74	25	l	l	PROPN
ejpam-5409	74	26	vi	vi	PROPN
ejpam-5409	74	27	is	be	AUX
ejpam-5409	74	28	denoted	denote	VERB
ejpam-5409	74	29	by	by	ADP
ejpam-5409	74	30	zj	zj	PROPN
ejpam-5409	74	31	and	and	CCONJ
ejpam-5409	74	32	then	then	ADV
ejpam-5409	74	33	split	split	VERB
ejpam-5409	74	34	by	by	ADP
ejpam-5409	74	35	the	the	DET
ejpam-5409	74	36	total	total	ADJ
ejpam-5409	74	37	number	number	NOUN
ejpam-5409	74	38	of	of	ADP
ejpam-5409	74	39	nodes	node	NOUN
ejpam-5409	74	40	.	.	PUNCT
ejpam-5409	75	1	step	step	NOUN
ejpam-5409	75	2	8	8	NUM
ejpam-5409	75	3	.	.	PUNCT
ejpam-5409	76	1	if	if	SCONJ
ejpam-5409	76	2	the	the	DET
ejpam-5409	76	3	data	data	NOUN
ejpam-5409	76	4	is	be	AUX
ejpam-5409	76	5	a	a	DET
ejpam-5409	76	6	time	time	NOUN
ejpam-5409	76	7	series	series	NOUN
ejpam-5409	76	8	,	,	PUNCT
ejpam-5409	76	9	save	save	VERB
ejpam-5409	76	10	the	the	DET
ejpam-5409	76	11	results	result	NOUN
ejpam-5409	76	12	of	of	ADP
ejpam-5409	76	13	the	the	DET
ejpam-5409	76	14	embedding	embedding	NOUN
ejpam-5409	76	15	in	in	ADP
ejpam-5409	76	16	a	a	DET
ejpam-5409	76	17	vector	vector	NOUN
ejpam-5409	76	18	and	and	CCONJ
ejpam-5409	76	19	repeat	repeat	VERB
ejpam-5409	76	20	the	the	DET
ejpam-5409	76	21	process	process	NOUN
ejpam-5409	76	22	for	for	ADP
ejpam-5409	76	23	the	the	DET
ejpam-5409	76	24	subsequent	subsequent	ADJ
ejpam-5409	76	25	time	time	NOUN
ejpam-5409	76	26	data	datum	NOUN
ejpam-5409	76	27	observation	observation	NOUN
ejpam-5409	76	28	.	.	PUNCT
ejpam-5409	77	1	step	step	NOUN
ejpam-5409	77	2	9	9	NUM
ejpam-5409	77	3	.	.	PUNCT
ejpam-5409	78	1	after	after	ADP
ejpam-5409	78	2	loading	load	VERB
ejpam-5409	78	3	the	the	DET
ejpam-5409	78	4	vector	vector	NOUN
ejpam-5409	78	5	data	datum	NOUN
ejpam-5409	78	6	,	,	PUNCT
ejpam-5409	78	7	perform	perform	VERB
ejpam-5409	78	8	multi	multi	ADJ
ejpam-5409	78	9	-	-	ADJ
ejpam-5409	78	10	step	step	ADJ
ejpam-5409	78	11	time	time	NOUN
ejpam-5409	78	12	series	series	PROPN
ejpam-5409	78	13	forecasting	forecasting	PROPN
ejpam-5409	78	14	,	,	PUNCT
ejpam-5409	78	15	testing	testing	NOUN
ejpam-5409	78	16	,	,	PUNCT
ejpam-5409	78	17	and	and	CCONJ
ejpam-5409	78	18	training	training	NOUN
ejpam-5409	78	19	using	use	VERB
ejpam-5409	78	20	the	the	DET
ejpam-5409	78	21	time	time	NOUN
ejpam-5409	78	22	series	series	PROPN
ejpam-5409	78	23	machine	machine	NOUN
ejpam-5409	78	24	learning	learning	PROPN
ejpam-5409	78	25	.	.	PUNCT
ejpam-5409	79	1	step	step	NOUN
ejpam-5409	79	2	10	10	NUM
ejpam-5409	79	3	.	.	PUNCT
ejpam-5409	79	4	is	be	AUX
ejpam-5409	79	5	rmse	rmse	ADJ
ejpam-5409	79	6	≤	≤	ADV
ejpam-5409	80	1	ϵ	ϵ	ADP
ejpam-5409	80	2	?	?	PUNCT
ejpam-5409	81	1	if	if	SCONJ
ejpam-5409	81	2	yes	yes	INTJ
ejpam-5409	81	3	then	then	ADV
ejpam-5409	81	4	stop	stop	VERB
ejpam-5409	81	5	.	.	PUNCT
ejpam-5409	82	1	if	if	SCONJ
ejpam-5409	82	2	no	no	PRON
ejpam-5409	82	3	then	then	ADV
ejpam-5409	82	4	improve	improve	VERB
ejpam-5409	82	5	w	w	ADV
ejpam-5409	82	6	,	,	PUNCT
ejpam-5409	82	7	do	do	AUX
ejpam-5409	82	8	step	step	NOUN
ejpam-5409	82	9	2	2	NUM
ejpam-5409	82	10	-	-	SYM
ejpam-5409	82	11	9	9	NUM
ejpam-5409	82	12	.	.	NOUN
ejpam-5409	82	13	3	3	NUM
ejpam-5409	82	14	.	.	X
ejpam-5409	82	15	main	main	ADJ
ejpam-5409	82	16	result	result	NOUN
ejpam-5409	82	17	3.1	3.1	NUM
ejpam-5409	82	18	.	.	PUNCT
ejpam-5409	83	1	b−coloring	b−colore	VERB
ejpam-5409	83	2	in	in	ADP
ejpam-5409	83	3	this	this	DET
ejpam-5409	83	4	paper	paper	NOUN
ejpam-5409	83	5	,	,	PUNCT
ejpam-5409	83	6	we	we	PRON
ejpam-5409	83	7	will	will	AUX
ejpam-5409	83	8	analyze	analyze	VERB
ejpam-5409	83	9	the	the	DET
ejpam-5409	83	10	new	new	ADJ
ejpam-5409	83	11	result	result	NOUN
ejpam-5409	83	12	of	of	ADP
ejpam-5409	83	13	the	the	DET
ejpam-5409	83	14	b	b	NOUN
ejpam-5409	83	15	-	-	PUNCT
ejpam-5409	83	16	chromatic	chromatic	ADJ
ejpam-5409	83	17	number	number	NOUN
ejpam-5409	83	18	of	of	ADP
ejpam-5409	83	19	pn	pn	PROPN
ejpam-5409	83	20	▷v1	▷v1	PROPN
ejpam-5409	83	21	pm	pm	NOUN
ejpam-5409	83	22	graph	graph	NOUN
ejpam-5409	83	23	for	for	ADP
ejpam-5409	83	24	n	n	CCONJ
ejpam-5409	83	25	,	,	PUNCT
ejpam-5409	83	26	m	m	VERB
ejpam-5409	83	27	≥	≥	NOUN
ejpam-5409	83	28	8	8	NUM
ejpam-5409	83	29	and	and	CCONJ
ejpam-5409	83	30	ln	ln	ADJ
ejpam-5409	83	31	▷v1	▷v1	NOUN
ejpam-5409	83	32	pm	pm	NOUN
ejpam-5409	83	33	graph	graph	NOUN
ejpam-5409	83	34	for	for	ADP
ejpam-5409	83	35	n	n	CCONJ
ejpam-5409	83	36	,	,	PUNCT
ejpam-5409	83	37	m	m	VERB
ejpam-5409	83	38	≥	≥	NOUN
ejpam-5409	83	39	5	5	NUM
ejpam-5409	83	40	.	.	PUNCT
ejpam-5409	83	41	theorem	theorem	NOUN
ejpam-5409	83	42	1	1	NUM
ejpam-5409	83	43	.	.	PUNCT
ejpam-5409	84	1	let	let	VERB
ejpam-5409	84	2	pn	pn	PROPN
ejpam-5409	84	3	▷v1	▷v1	VERB
ejpam-5409	84	4	pm	pm	VERB
ejpam-5409	84	5	be	be	AUX
ejpam-5409	84	6	a	a	DET
ejpam-5409	84	7	comb	comb	NOUN
ejpam-5409	84	8	product	product	NOUN
ejpam-5409	84	9	of	of	ADP
ejpam-5409	84	10	graphs	graph	NOUN
ejpam-5409	84	11	for	for	ADP
ejpam-5409	84	12	n	n	PRON
ejpam-5409	84	13	≥	≥	NUM
ejpam-5409	84	14	6	6	NUM
ejpam-5409	84	15	,	,	PUNCT
ejpam-5409	84	16	m	m	VERB
ejpam-5409	84	17	≥	≥	NOUN
ejpam-5409	84	18	2	2	X
ejpam-5409	84	19	.	.	PUNCT
ejpam-5409	85	1	we	we	PRON
ejpam-5409	85	2	have	have	VERB
ejpam-5409	85	3	φ(pn	φ(pn	NUM
ejpam-5409	85	4	▷v1	▷v1	NOUN
ejpam-5409	85	5	pm	pm	NOUN
ejpam-5409	85	6	)	)	PUNCT
ejpam-5409	85	7	=	=	SYM
ejpam-5409	85	8	4	4	X
ejpam-5409	85	9	.	.	X
ejpam-5409	86	1	proof	proof	NOUN
ejpam-5409	86	2	.	.	PUNCT
ejpam-5409	87	1	the	the	DET
ejpam-5409	87	2	graph	graph	NOUN
ejpam-5409	87	3	pn	pn	PROPN
ejpam-5409	87	4	▷v1	▷v1	PROPN
ejpam-5409	87	5	pm	pm	NOUN
ejpam-5409	87	6	is	be	AUX
ejpam-5409	87	7	a	a	DET
ejpam-5409	87	8	connected	connected	ADJ
ejpam-5409	87	9	graph	graph	NOUN
ejpam-5409	87	10	with	with	ADP
ejpam-5409	87	11	vertex	vertex	NOUN
ejpam-5409	87	12	set	set	VERB
ejpam-5409	87	13	v	v	NOUN
ejpam-5409	87	14	(	(	PUNCT
ejpam-5409	87	15	pn	pn	PROPN
ejpam-5409	87	16	▷v1	▷v1	PROPN
ejpam-5409	87	17	pm	pm	NOUN
ejpam-5409	87	18	)	)	PUNCT
ejpam-5409	87	19	=	=	PRON
ejpam-5409	87	20	{	{	PUNCT
ejpam-5409	87	21	xi	xi	PROPN
ejpam-5409	87	22	,	,	PUNCT
ejpam-5409	87	23	j	j	PROPN
ejpam-5409	87	24	;	;	PUNCT
ejpam-5409	87	25	1	1	NUM
ejpam-5409	87	26	≤	≤	NUM
ejpam-5409	87	27	i	i	PRON
ejpam-5409	87	28	≤	≤	PROPN
ejpam-5409	87	29	n	n	CCONJ
ejpam-5409	87	30	,	,	PUNCT
ejpam-5409	87	31	1	1	NUM
ejpam-5409	87	32	≤	≤	NUM
ejpam-5409	87	33	j	j	PROPN
ejpam-5409	87	34	≤	≤	PROPN
ejpam-5409	87	35	m	m	PROPN
ejpam-5409	87	36	}	}	PUNCT
ejpam-5409	87	37	and	and	CCONJ
ejpam-5409	87	38	edge	edge	NOUN
ejpam-5409	87	39	set	set	VERB
ejpam-5409	87	40	e(pn	e(pn	PROPN
ejpam-5409	87	41	▷v1	▷v1	PROPN
ejpam-5409	87	42	pm	pm	NOUN
ejpam-5409	87	43	)	)	PUNCT
ejpam-5409	87	44	=	=	PRON
ejpam-5409	87	45	{	{	PUNCT
ejpam-5409	87	46	xi,1xi+1,1	xi,1xi+1,1	NOUN
ejpam-5409	87	47	;	;	PUNCT
ejpam-5409	87	48	1	1	NUM
ejpam-5409	87	49	≤	≤	NUM
ejpam-5409	87	50	i	i	PRON
ejpam-5409	87	51	≤	≤	ADJ
ejpam-5409	87	52	n−	n−	NOUN
ejpam-5409	87	53	1	1	NUM
ejpam-5409	87	54	}	}	PUNCT
ejpam-5409	87	55	∪	∪	ADJ
ejpam-5409	87	56	{	{	PUNCT
ejpam-5409	87	57	xi	xi	PROPN
ejpam-5409	87	58	,	,	PUNCT
ejpam-5409	87	59	jxi	jxi	PROPN
ejpam-5409	87	60	,	,	PUNCT
ejpam-5409	87	61	j+1	j+1	PROPN
ejpam-5409	87	62	;	;	PUNCT
ejpam-5409	87	63	1	1	NUM
ejpam-5409	87	64	≤	≤	NUM
ejpam-5409	87	65	i	i	PRON
ejpam-5409	87	66	≤	≤	PROPN
ejpam-5409	87	67	n	n	CCONJ
ejpam-5409	87	68	,	,	PUNCT
ejpam-5409	87	69	1	1	NUM
ejpam-5409	87	70	≤	≤	NUM
ejpam-5409	87	71	j	j	PROPN
ejpam-5409	87	72	≤	≤	PROPN
ejpam-5409	87	73	m−	m−	PROPN
ejpam-5409	87	74	1	1	NUM
ejpam-5409	87	75	}	}	PUNCT
ejpam-5409	87	76	.	.	PUNCT
ejpam-5409	88	1	thus	thus	ADV
ejpam-5409	88	2	|v	|v	PROPN
ejpam-5409	88	3	(	(	PUNCT
ejpam-5409	88	4	pn	pn	X
ejpam-5409	88	5	▷v1	▷v1	PROPN
ejpam-5409	88	6	pm)|	pm)|	PROPN
ejpam-5409	88	7	=	=	NOUN
ejpam-5409	88	8	nm	nm	NOUN
ejpam-5409	88	9	and	and	CCONJ
ejpam-5409	88	10	|e(pn	|e(pn	PROPN
ejpam-5409	88	11	▷v1	▷v1	NOUN
ejpam-5409	88	12	pm)|	pm)|	NOUN
ejpam-5409	88	13	=	=	SYM
ejpam-5409	88	14	nm−1	nm−1	PROPN
ejpam-5409	88	15	.	.	PUNCT
ejpam-5409	89	1	the	the	DET
ejpam-5409	89	2	chromatic	chromatic	ADJ
ejpam-5409	89	3	number	number	NOUN
ejpam-5409	89	4	γ(pn	γ(pn	NUM
ejpam-5409	89	5	▷v1	▷v1	NOUN
ejpam-5409	89	6	pm	pm	NOUN
ejpam-5409	89	7	)	)	PUNCT
ejpam-5409	89	8	=	=	SYM
ejpam-5409	89	9	2	2	NUM
ejpam-5409	89	10	and	and	CCONJ
ejpam-5409	89	11	maximum	maximum	ADJ
ejpam-5409	89	12	degree	degree	NOUN
ejpam-5409	89	13	∆(pn	∆(pn	NOUN
ejpam-5409	89	14	▷v1	▷v1	NOUN
ejpam-5409	89	15	pm	pm	NOUN
ejpam-5409	89	16	)	)	PUNCT
ejpam-5409	89	17	=	=	SYM
ejpam-5409	90	1	3	3	X
ejpam-5409	90	2	.	.	PUNCT
ejpam-5409	90	3	to	to	PART
ejpam-5409	90	4	obtain	obtain	VERB
ejpam-5409	90	5	the	the	DET
ejpam-5409	90	6	b	b	NOUN
ejpam-5409	90	7	-	-	PUNCT
ejpam-5409	90	8	chromatic	chromatic	ADJ
ejpam-5409	90	9	number	number	NOUN
ejpam-5409	90	10	φ(pn	φ(pn	NUM
ejpam-5409	90	11	▷v1	▷v1	NOUN
ejpam-5409	90	12	pm	pm	NOUN
ejpam-5409	90	13	)	)	PUNCT
ejpam-5409	90	14	for	for	ADP
ejpam-5409	90	15	n	n	NUM
ejpam-5409	90	16	≥	≥	NOUN
ejpam-5409	90	17	6,m	6,m	NUM
ejpam-5409	90	18	≥	≥	NOUN
ejpam-5409	90	19	2	2	NUM
ejpam-5409	90	20	,	,	PUNCT
ejpam-5409	90	21	we	we	PRON
ejpam-5409	90	22	will	will	AUX
ejpam-5409	90	23	analyze	analyze	VERB
ejpam-5409	90	24	the	the	DET
ejpam-5409	90	25	upper	upper	ADJ
ejpam-5409	90	26	bound	bind	VERB
ejpam-5409	90	27	of	of	ADP
ejpam-5409	90	28	pn	pn	PROPN
ejpam-5409	90	29	▷v1	▷v1	PROPN
ejpam-5409	90	30	pm	pm	PROPN
ejpam-5409	90	31	.	.	PUNCT
ejpam-5409	91	1	based	base	VERB
ejpam-5409	91	2	on	on	ADP
ejpam-5409	91	3	definition	definition	NOUN
ejpam-5409	91	4	2	2	NUM
ejpam-5409	91	5	and	and	CCONJ
ejpam-5409	91	6	lemma	lemma	PROPN
ejpam-5409	91	7	1	1	NUM
ejpam-5409	91	8	,	,	PUNCT
ejpam-5409	91	9	we	we	PRON
ejpam-5409	91	10	have	have	VERB
ejpam-5409	91	11	χ(pn	χ(pn	DET
ejpam-5409	91	12	▷v1	▷v1	NOUN
ejpam-5409	91	13	pm	pm	NOUN
ejpam-5409	91	14	)	)	PUNCT
ejpam-5409	91	15	≤	≤	NOUN
ejpam-5409	91	16	φ(pn	φ(pn	NUM
ejpam-5409	91	17	▷v1	▷v1	NOUN
ejpam-5409	91	18	pm	pm	NOUN
ejpam-5409	91	19	)	)	PUNCT
ejpam-5409	91	20	≤	≤	NOUN
ejpam-5409	91	21	∆(pn	∆(pn	NOUN
ejpam-5409	91	22	▷v1	▷v1	NOUN
ejpam-5409	91	23	pm	pm	NOUN
ejpam-5409	91	24	)	)	PUNCT
ejpam-5409	92	1	+	+	CCONJ
ejpam-5409	92	2	1	1	NUM
ejpam-5409	92	3	=	=	SYM
ejpam-5409	92	4	4	4	NUM
ejpam-5409	92	5	←→	←→	X
ejpam-5409	92	6	φ(pn	φ(pn	NUM
ejpam-5409	92	7	▷v1	▷v1	NOUN
ejpam-5409	92	8	pm	pm	NOUN
ejpam-5409	92	9	)	)	PUNCT
ejpam-5409	92	10	≤	≤	NUM
ejpam-5409	92	11	4	4	NUM
ejpam-5409	92	12	.	.	PUNCT
ejpam-5409	93	1	furthermore	furthermore	ADV
ejpam-5409	93	2	,	,	PUNCT
ejpam-5409	93	3	we	we	PRON
ejpam-5409	93	4	need	need	VERB
ejpam-5409	93	5	to	to	PART
ejpam-5409	93	6	find	find	VERB
ejpam-5409	93	7	the	the	DET
ejpam-5409	93	8	exact	exact	ADJ
ejpam-5409	93	9	value	value	NOUN
ejpam-5409	93	10	of	of	ADP
ejpam-5409	93	11	φ(pn	φ(pn	NUM
ejpam-5409	93	12	▷v1	▷v1	NOUN
ejpam-5409	93	13	pm	pm	NOUN
ejpam-5409	93	14	)	)	PUNCT
ejpam-5409	93	15	by	by	ADP
ejpam-5409	93	16	defining	define	VERB
ejpam-5409	93	17	the	the	DET
ejpam-5409	93	18	coloring	coloring	NOUN
ejpam-5409	93	19	function	function	NOUN
ejpam-5409	93	20	as	as	SCONJ
ejpam-5409	93	21	follows	follow	VERB
ejpam-5409	93	22	f	f	X
ejpam-5409	93	23	:	:	PUNCT
ejpam-5409	93	24	v	v	X
ejpam-5409	93	25	(	(	PUNCT
ejpam-5409	93	26	pn	pn	X
ejpam-5409	93	27	▷v1	▷v1	PROPN
ejpam-5409	93	28	pm)→	pm)→	X
ejpam-5409	93	29	{	{	PUNCT
ejpam-5409	93	30	1	1	NUM
ejpam-5409	93	31	,	,	PUNCT
ejpam-5409	93	32	2	2	NUM
ejpam-5409	93	33	,	,	PUNCT
ejpam-5409	93	34	3	3	NUM
ejpam-5409	93	35	,	,	PUNCT
ejpam-5409	93	36	.	.	PUNCT
ejpam-5409	93	37	.	.	PUNCT
ejpam-5409	93	38	.	.	PUNCT
ejpam-5409	94	1	,	,	PUNCT
ejpam-5409	94	2	k	k	X
ejpam-5409	94	3	}	}	PUNCT
ejpam-5409	94	4	as	as	SCONJ
ejpam-5409	94	5	follows	follow	VERB
ejpam-5409	94	6	f(xi	f(xi	PROPN
ejpam-5409	94	7	,	,	PUNCT
ejpam-5409	94	8	j)=	j)=	X
ejpam-5409	94	9			NUM
ejpam-5409	94	10	1	1	NUM
ejpam-5409	94	11	,	,	PUNCT
ejpam-5409	94	12	if	if	SCONJ
ejpam-5409	94	13	i	i	PRON
ejpam-5409	94	14	≡	≡	PROPN
ejpam-5409	94	15	2	2	NUM
ejpam-5409	94	16	mod	mod	NOUN
ejpam-5409	94	17	4	4	NUM
ejpam-5409	94	18	,	,	PUNCT
ejpam-5409	94	19	j	j	PROPN
ejpam-5409	94	20	≡	≡	PROPN
ejpam-5409	94	21	1	1	NUM
ejpam-5409	94	22	mod	mod	NOUN
ejpam-5409	94	23	2	2	NUM
ejpam-5409	94	24	if	if	SCONJ
ejpam-5409	94	25	i	i	PRON
ejpam-5409	94	26	≡	≡	PROPN
ejpam-5409	94	27	0	0	NUM
ejpam-5409	95	1	mod	mod	PROPN
ejpam-5409	95	2	4	4	NUM
ejpam-5409	95	3	,	,	PUNCT
ejpam-5409	95	4	j	j	PROPN
ejpam-5409	95	5	≡	≡	PROPN
ejpam-5409	95	6	0	0	NUM
ejpam-5409	95	7	mod	mod	PROPN
ejpam-5409	96	1	2	2	NUM
ejpam-5409	96	2	2	2	NUM
ejpam-5409	96	3	,	,	PUNCT
ejpam-5409	96	4	if	if	SCONJ
ejpam-5409	96	5	i	i	PRON
ejpam-5409	96	6	≡	≡	PROPN
ejpam-5409	96	7	1	1	NUM
ejpam-5409	96	8	mod	mod	PROPN
ejpam-5409	96	9	4	4	NUM
ejpam-5409	96	10	,	,	PUNCT
ejpam-5409	96	11	j	j	PROPN
ejpam-5409	96	12	≡	≡	PROPN
ejpam-5409	96	13	1	1	NUM
ejpam-5409	96	14	mod	mod	NOUN
ejpam-5409	96	15	2	2	NUM
ejpam-5409	96	16	if	if	SCONJ
ejpam-5409	96	17	i	i	PRON
ejpam-5409	96	18	≡	≡	PROPN
ejpam-5409	96	19	3	3	NUM
ejpam-5409	96	20	mod	mod	NOUN
ejpam-5409	96	21	4	4	NUM
ejpam-5409	96	22	,	,	PUNCT
ejpam-5409	96	23	j	j	PROPN
ejpam-5409	96	24	≡	≡	PROPN
ejpam-5409	96	25	0	0	NUM
ejpam-5409	96	26	mod	mod	PROPN
ejpam-5409	96	27	2	2	NUM
ejpam-5409	96	28	3	3	NUM
ejpam-5409	96	29	,	,	PUNCT
ejpam-5409	96	30	if	if	SCONJ
ejpam-5409	96	31	i	i	PRON
ejpam-5409	96	32	≡	≡	PROPN
ejpam-5409	96	33	0	0	NUM
ejpam-5409	96	34	mod	mod	PROPN
ejpam-5409	96	35	4	4	NUM
ejpam-5409	96	36	,	,	PUNCT
ejpam-5409	96	37	j	j	PROPN
ejpam-5409	96	38	≡	≡	PROPN
ejpam-5409	96	39	1	1	NUM
ejpam-5409	97	1	mod	mod	NOUN
ejpam-5409	97	2	2	2	NUM
ejpam-5409	97	3	if	if	SCONJ
ejpam-5409	97	4	i	i	PRON
ejpam-5409	97	5	≡	≡	PROPN
ejpam-5409	97	6	2	2	NUM
ejpam-5409	97	7	mod	mod	NOUN
ejpam-5409	97	8	4	4	NUM
ejpam-5409	97	9	,	,	PUNCT
ejpam-5409	97	10	j	j	PROPN
ejpam-5409	97	11	≡	≡	PROPN
ejpam-5409	97	12	0	0	NUM
ejpam-5409	97	13	mod	mod	PROPN
ejpam-5409	97	14	2	2	NUM
ejpam-5409	97	15	4	4	NUM
ejpam-5409	97	16	,	,	PUNCT
ejpam-5409	97	17	if	if	SCONJ
ejpam-5409	97	18	i	i	PRON
ejpam-5409	97	19	≡	≡	PROPN
ejpam-5409	97	20	3	3	NUM
ejpam-5409	97	21	mod	mod	NOUN
ejpam-5409	97	22	4	4	NUM
ejpam-5409	97	23	,	,	PUNCT
ejpam-5409	97	24	j	j	PROPN
ejpam-5409	97	25	≡	≡	PROPN
ejpam-5409	97	26	1	1	NUM
ejpam-5409	97	27	mod	mod	NOUN
ejpam-5409	97	28	2	2	NUM
ejpam-5409	97	29	if	if	SCONJ
ejpam-5409	97	30	i	i	PRON
ejpam-5409	97	31	≡	≡	PROPN
ejpam-5409	97	32	1	1	NUM
ejpam-5409	97	33	mod	mod	PROPN
ejpam-5409	97	34	4	4	NUM
ejpam-5409	97	35	,	,	PUNCT
ejpam-5409	97	36	j	j	PROPN
ejpam-5409	97	37	≡	≡	PROPN
ejpam-5409	97	38	0	0	NUM
ejpam-5409	97	39	mod	mod	PROPN
ejpam-5409	97	40	2	2	NUM
ejpam-5409	97	41	based	base	VERB
ejpam-5409	97	42	on	on	ADP
ejpam-5409	97	43	the	the	DET
ejpam-5409	97	44	function	function	NOUN
ejpam-5409	97	45	above	above	ADV
ejpam-5409	97	46	,	,	PUNCT
ejpam-5409	97	47	we	we	PRON
ejpam-5409	97	48	have	have	VERB
ejpam-5409	97	49	f	f	X
ejpam-5409	97	50	:	:	PUNCT
ejpam-5409	97	51	v	v	X
ejpam-5409	97	52	(	(	PUNCT
ejpam-5409	97	53	pn	pn	PROPN
ejpam-5409	97	54	▷v1	▷v1	PROPN
ejpam-5409	97	55	pm	pm	PROPN
ejpam-5409	97	56	)	)	PUNCT
ejpam-5409	97	57	→	→	SYM
ejpam-5409	97	58	{	{	PUNCT
ejpam-5409	97	59	1	1	NUM
ejpam-5409	97	60	,	,	PUNCT
ejpam-5409	97	61	2	2	NUM
ejpam-5409	97	62	,	,	PUNCT
ejpam-5409	97	63	3	3	NUM
ejpam-5409	97	64	,	,	PUNCT
ejpam-5409	97	65	4	4	NUM
ejpam-5409	97	66	}	}	PUNCT
ejpam-5409	97	67	.	.	PUNCT
ejpam-5409	98	1	thus	thus	ADV
ejpam-5409	98	2	,	,	PUNCT
ejpam-5409	98	3	we	we	PRON
ejpam-5409	98	4	have	have	VERB
ejpam-5409	98	5	k	k	NOUN
ejpam-5409	98	6	=	=	SYM
ejpam-5409	98	7	4	4	X
ejpam-5409	98	8	.	.	PUNCT
ejpam-5409	99	1	it	it	PRON
ejpam-5409	99	2	implies	imply	VERB
ejpam-5409	99	3	that	that	SCONJ
ejpam-5409	99	4	φ(pn	φ(pn	NUM
ejpam-5409	99	5	▷v1	▷v1	NOUN
ejpam-5409	99	6	pm	pm	NOUN
ejpam-5409	99	7	)	)	PUNCT
ejpam-5409	99	8	=	=	SYM
ejpam-5409	99	9	4	4	X
ejpam-5409	99	10	.	.	PUNCT
ejpam-5409	100	1	the	the	DET
ejpam-5409	100	2	last	last	ADJ
ejpam-5409	100	3	,	,	PUNCT
ejpam-5409	100	4	we	we	PRON
ejpam-5409	100	5	need	need	VERB
ejpam-5409	100	6	to	to	PART
ejpam-5409	100	7	show	show	VERB
ejpam-5409	100	8	that	that	SCONJ
ejpam-5409	100	9	each	each	DET
ejpam-5409	100	10	color	color	NOUN
ejpam-5409	100	11	class	class	NOUN
ejpam-5409	100	12	a.	a.	PROPN
ejpam-5409	100	13	i.	i.	PROPN
ejpam-5409	100	14	kristiana	kristiana	PROPN
ejpam-5409	100	15	et	et	PROPN
ejpam-5409	100	16	al	al	PROPN
ejpam-5409	100	17	.	.	PUNCT
ejpam-5409	100	18	/	/	SYM
ejpam-5409	100	19	eur	eur	PROPN
ejpam-5409	100	20	.	.	PUNCT
ejpam-5409	101	1	j.	j.	PROPN
ejpam-5409	101	2	pure	pure	PROPN
ejpam-5409	101	3	appl	appl	PROPN
ejpam-5409	101	4	.	.	PROPN
ejpam-5409	101	5	math	math	PROPN
ejpam-5409	101	6	,	,	PUNCT
ejpam-5409	101	7	17	17	NUM
ejpam-5409	101	8	(	(	PUNCT
ejpam-5409	101	9	4	4	NUM
ejpam-5409	101	10	)	)	PUNCT
ejpam-5409	101	11	(	(	PUNCT
ejpam-5409	101	12	2024	2024	NUM
ejpam-5409	101	13	)	)	PUNCT
ejpam-5409	101	14	,	,	PUNCT
ejpam-5409	101	15	3356	3356	NUM
ejpam-5409	101	16	-	-	SYM
ejpam-5409	101	17	3369	3369	NUM
ejpam-5409	101	18	3360	3360	NUM
ejpam-5409	101	19	has	have	VERB
ejpam-5409	101	20	at	at	ADV
ejpam-5409	101	21	least	least	ADV
ejpam-5409	101	22	one	one	NUM
ejpam-5409	101	23	vertex	vertex	NOUN
ejpam-5409	101	24	that	that	PRON
ejpam-5409	101	25	adjacent	adjacent	ADJ
ejpam-5409	101	26	with	with	ADP
ejpam-5409	101	27	all	all	DET
ejpam-5409	101	28	other	other	ADJ
ejpam-5409	101	29	color	color	NOUN
ejpam-5409	101	30	classes	class	NOUN
ejpam-5409	101	31	.	.	PUNCT
ejpam-5409	102	1	according	accord	VERB
ejpam-5409	102	2	to	to	ADP
ejpam-5409	102	3	the	the	DET
ejpam-5409	102	4	coloring	coloring	NOUN
ejpam-5409	102	5	function	function	NOUN
ejpam-5409	102	6	,	,	PUNCT
ejpam-5409	102	7	the	the	DET
ejpam-5409	102	8	b−chromatic	b−chromatic	ADJ
ejpam-5409	102	9	number	number	NOUN
ejpam-5409	102	10	of	of	ADP
ejpam-5409	102	11	graph	graph	NOUN
ejpam-5409	102	12	pn	pn	PROPN
ejpam-5409	102	13	▷v1	▷v1	PROPN
ejpam-5409	102	14	pm	pm	NOUN
ejpam-5409	102	15	is	be	AUX
ejpam-5409	102	16	4	4	NUM
ejpam-5409	102	17	,	,	PUNCT
ejpam-5409	102	18	thus	thus	ADV
ejpam-5409	102	19	we	we	PRON
ejpam-5409	102	20	have	have	VERB
ejpam-5409	102	21	four	four	NUM
ejpam-5409	102	22	color	color	NOUN
ejpam-5409	102	23	classes	class	NOUN
ejpam-5409	102	24	,	,	PUNCT
ejpam-5409	102	25	namely	namely	ADV
ejpam-5409	102	26	c1	c1	NOUN
ejpam-5409	102	27	=	=	SYM
ejpam-5409	102	28	{	{	PUNCT
ejpam-5409	102	29	xi	xi	PROPN
ejpam-5409	102	30	,	,	PUNCT
ejpam-5409	102	31	j	j	PROPN
ejpam-5409	102	32	|i	|i	X
ejpam-5409	102	33	≡	≡	PROPN
ejpam-5409	102	34	2mod	2mod	PROPN
ejpam-5409	102	35	4	4	NUM
ejpam-5409	102	36	,	,	PUNCT
ejpam-5409	102	37	j	j	PROPN
ejpam-5409	102	38	≡	≡	PROPN
ejpam-5409	102	39	1mod	1mod	PROPN
ejpam-5409	102	40	2	2	NUM
ejpam-5409	102	41	;	;	PUNCT
ejpam-5409	102	42	i	i	PRON
ejpam-5409	102	43	≡	≡	PROPN
ejpam-5409	102	44	0mod	0mod	PROPN
ejpam-5409	102	45	4	4	NUM
ejpam-5409	102	46	,	,	PUNCT
ejpam-5409	102	47	j	j	PROPN
ejpam-5409	102	48	≡	≡	PROPN
ejpam-5409	102	49	0mod	0mod	PROPN
ejpam-5409	102	50	2	2	X
ejpam-5409	102	51	}	}	PUNCT
ejpam-5409	102	52	,	,	PUNCT
ejpam-5409	102	53	c2	c2	PROPN
ejpam-5409	102	54	=	=	SYM
ejpam-5409	102	55	{	{	PUNCT
ejpam-5409	102	56	xi	xi	PROPN
ejpam-5409	102	57	,	,	PUNCT
ejpam-5409	102	58	j	j	PROPN
ejpam-5409	102	59	|i	|i	X
ejpam-5409	102	60	≡	≡	PROPN
ejpam-5409	102	61	1mod	1mod	PROPN
ejpam-5409	102	62	4	4	NUM
ejpam-5409	102	63	,	,	PUNCT
ejpam-5409	102	64	j	j	PROPN
ejpam-5409	102	65	≡	≡	PROPN
ejpam-5409	102	66	1mod	1mod	PROPN
ejpam-5409	102	67	2	2	NUM
ejpam-5409	102	68	;	;	PUNCT
ejpam-5409	102	69	i	i	PRON
ejpam-5409	102	70	≡	≡	PROPN
ejpam-5409	103	1	3mod	3mod	NUM
ejpam-5409	103	2	4	4	NUM
ejpam-5409	103	3	,	,	PUNCT
ejpam-5409	103	4	j	j	PROPN
ejpam-5409	103	5	≡	≡	PROPN
ejpam-5409	103	6	0mod	0mod	PROPN
ejpam-5409	103	7	2	2	X
ejpam-5409	103	8	}	}	PUNCT
ejpam-5409	103	9	,	,	PUNCT
ejpam-5409	103	10	c3	c3	PROPN
ejpam-5409	103	11	=	=	PUNCT
ejpam-5409	103	12	{	{	PUNCT
ejpam-5409	103	13	xi	xi	PROPN
ejpam-5409	103	14	,	,	PUNCT
ejpam-5409	103	15	j	j	PROPN
ejpam-5409	103	16	|i	|i	X
ejpam-5409	103	17	≡	≡	PROPN
ejpam-5409	103	18	0mod	0mod	PROPN
ejpam-5409	103	19	4	4	NUM
ejpam-5409	103	20	,	,	PUNCT
ejpam-5409	103	21	j	j	PROPN
ejpam-5409	103	22	≡	≡	PROPN
ejpam-5409	103	23	1mod	1mod	PROPN
ejpam-5409	103	24	2	2	NUM
ejpam-5409	103	25	;	;	PUNCT
ejpam-5409	103	26	i	i	PRON
ejpam-5409	103	27	≡	≡	PROPN
ejpam-5409	103	28	2mod	2mod	PROPN
ejpam-5409	103	29	4	4	NUM
ejpam-5409	103	30	,	,	PUNCT
ejpam-5409	103	31	j	j	PROPN
ejpam-5409	103	32	≡	≡	PROPN
ejpam-5409	103	33	0mod	0mod	PROPN
ejpam-5409	103	34	2	2	X
ejpam-5409	103	35	}	}	PUNCT
ejpam-5409	103	36	,	,	PUNCT
ejpam-5409	103	37	c4	c4	NOUN
ejpam-5409	103	38	=	=	SYM
ejpam-5409	103	39	{	{	PUNCT
ejpam-5409	103	40	xi	xi	PROPN
ejpam-5409	103	41	,	,	PUNCT
ejpam-5409	103	42	j	j	PROPN
ejpam-5409	103	43	|i	|i	X
ejpam-5409	103	44	≡	≡	PROPN
ejpam-5409	103	45	1mod	1mod	PROPN
ejpam-5409	103	46	4	4	NUM
ejpam-5409	103	47	,	,	PUNCT
ejpam-5409	103	48	j	j	PROPN
ejpam-5409	103	49	≡	≡	PROPN
ejpam-5409	103	50	0mod	0mod	PROPN
ejpam-5409	103	51	2	2	X
ejpam-5409	103	52	;	;	PUNCT
ejpam-5409	103	53	i	i	PRON
ejpam-5409	103	54	≡	≡	PROPN
ejpam-5409	104	1	3mod	3mod	NUM
ejpam-5409	104	2	4	4	NUM
ejpam-5409	104	3	,	,	PUNCT
ejpam-5409	104	4	j	j	PROPN
ejpam-5409	104	5	≡	≡	PROPN
ejpam-5409	104	6	1mod	1mod	PROPN
ejpam-5409	104	7	2	2	NUM
ejpam-5409	104	8	}	}	PUNCT
ejpam-5409	104	9	.	.	PUNCT
ejpam-5409	105	1	based	base	VERB
ejpam-5409	105	2	on	on	ADP
ejpam-5409	105	3	the	the	DET
ejpam-5409	105	4	four	four	NUM
ejpam-5409	105	5	color	color	NOUN
ejpam-5409	105	6	classes	class	NOUN
ejpam-5409	105	7	,	,	PUNCT
ejpam-5409	105	8	we	we	PRON
ejpam-5409	105	9	can	can	AUX
ejpam-5409	105	10	show	show	VERB
ejpam-5409	105	11	that	that	SCONJ
ejpam-5409	105	12	each	each	DET
ejpam-5409	105	13	color	color	NOUN
ejpam-5409	105	14	class	class	NOUN
ejpam-5409	105	15	has	have	VERB
ejpam-5409	105	16	at	at	ADV
ejpam-5409	105	17	least	least	ADV
ejpam-5409	105	18	one	one	NUM
ejpam-5409	105	19	vertex	vertex	NOUN
ejpam-5409	105	20	that	that	PRON
ejpam-5409	105	21	is	be	AUX
ejpam-5409	105	22	adjacent	adjacent	ADJ
ejpam-5409	105	23	to	to	ADP
ejpam-5409	105	24	all	all	DET
ejpam-5409	105	25	other	other	ADJ
ejpam-5409	105	26	color	color	NOUN
ejpam-5409	105	27	classes	class	NOUN
ejpam-5409	105	28	.	.	PUNCT
ejpam-5409	106	1	we	we	PRON
ejpam-5409	106	2	can	can	AUX
ejpam-5409	106	3	show	show	VERB
ejpam-5409	106	4	it	it	PRON
ejpam-5409	106	5	by	by	ADP
ejpam-5409	106	6	depicting	depict	VERB
ejpam-5409	106	7	the	the	DET
ejpam-5409	106	8	methane	methane	NOUN
ejpam-5409	106	9	-	-	PUNCT
ejpam-5409	106	10	like	like	ADJ
ejpam-5409	106	11	structure	structure	NOUN
ejpam-5409	106	12	,	,	PUNCT
ejpam-5409	106	13	see	see	VERB
ejpam-5409	106	14	figure	figure	NOUN
ejpam-5409	106	15	1	1	NUM
ejpam-5409	106	16	.	.	PUNCT
ejpam-5409	107	1	thus	thus	ADV
ejpam-5409	107	2	,	,	PUNCT
ejpam-5409	107	3	it	it	PRON
ejpam-5409	107	4	proves	prove	VERB
ejpam-5409	107	5	that	that	SCONJ
ejpam-5409	107	6	φ(pn	φ(pn	NUM
ejpam-5409	107	7	▷v1	▷v1	NOUN
ejpam-5409	107	8	pm	pm	NOUN
ejpam-5409	107	9	)	)	PUNCT
ejpam-5409	107	10	=	=	SYM
ejpam-5409	107	11	4	4	NUM
ejpam-5409	107	12	for	for	ADP
ejpam-5409	107	13	n	n	X
ejpam-5409	107	14	≥	≥	NUM
ejpam-5409	107	15	6	6	NUM
ejpam-5409	107	16	,	,	PUNCT
ejpam-5409	107	17	m	m	VERB
ejpam-5409	107	18	≥	≥	NOUN
ejpam-5409	107	19	2	2	NUM
ejpam-5409	107	20	.	.	X
ejpam-5409	107	21	figure	figure	VERB
ejpam-5409	107	22	1	1	NUM
ejpam-5409	107	23	:	:	PUNCT
ejpam-5409	107	24	b	b	X
ejpam-5409	107	25	-	-	PUNCT
ejpam-5409	107	26	chromatic	chromatic	ADJ
ejpam-5409	107	27	number	number	NOUN
ejpam-5409	107	28	of	of	ADP
ejpam-5409	107	29	b−coloring	b−colore	VERB
ejpam-5409	107	30	φ(pn	φ(pn	NUM
ejpam-5409	107	31	▷v1	▷v1	NUM
ejpam-5409	107	32	pm	pm	NOUN
ejpam-5409	107	33	)	)	PUNCT
ejpam-5409	107	34	=	=	SYM
ejpam-5409	107	35	4	4	NUM
ejpam-5409	107	36	to	to	PART
ejpam-5409	107	37	have	have	VERB
ejpam-5409	107	38	more	more	ADJ
ejpam-5409	107	39	detail	detail	NOUN
ejpam-5409	107	40	illustration	illustration	NOUN
ejpam-5409	107	41	of	of	ADP
ejpam-5409	107	42	b−coloring	b−colore	VERB
ejpam-5409	107	43	of	of	ADP
ejpam-5409	107	44	pn	pn	PROPN
ejpam-5409	107	45	▷v1	▷v1	PROPN
ejpam-5409	107	46	pm	pm	NOUN
ejpam-5409	107	47	,	,	PUNCT
ejpam-5409	107	48	we	we	PRON
ejpam-5409	107	49	depict	depict	VERB
ejpam-5409	107	50	the	the	DET
ejpam-5409	107	51	picture	picture	NOUN
ejpam-5409	107	52	,	,	PUNCT
ejpam-5409	107	53	see	see	VERB
ejpam-5409	107	54	figure	figure	NOUN
ejpam-5409	107	55	2	2	NUM
ejpam-5409	107	56	.	.	PUNCT
ejpam-5409	107	57	figure	figure	NOUN
ejpam-5409	107	58	2	2	NUM
ejpam-5409	107	59	:	:	PUNCT
ejpam-5409	107	60	representation	representation	NOUN
ejpam-5409	107	61	of	of	ADP
ejpam-5409	107	62	each	each	DET
ejpam-5409	107	63	color	color	NOUN
ejpam-5409	107	64	class	class	NOUN
ejpam-5409	107	65	theorem	theorem	NOUN
ejpam-5409	107	66	2	2	X
ejpam-5409	107	67	.	.	PUNCT
ejpam-5409	108	1	let	let	VERB
ejpam-5409	108	2	ln	ln	ADJ
ejpam-5409	108	3	▷v1	▷v1	PROPN
ejpam-5409	108	4	pm	pm	NOUN
ejpam-5409	108	5	be	be	AUX
ejpam-5409	108	6	a	a	DET
ejpam-5409	108	7	comb	comb	NOUN
ejpam-5409	108	8	product	product	NOUN
ejpam-5409	108	9	of	of	ADP
ejpam-5409	108	10	graphs	graph	NOUN
ejpam-5409	108	11	for	for	ADP
ejpam-5409	108	12	n	n	PRON
ejpam-5409	108	13	≥	≥	NUM
ejpam-5409	108	14	5	5	NUM
ejpam-5409	108	15	,	,	PUNCT
ejpam-5409	108	16	m	m	VERB
ejpam-5409	108	17	≥	≥	NOUN
ejpam-5409	108	18	2	2	X
ejpam-5409	108	19	.	.	PUNCT
ejpam-5409	109	1	we	we	PRON
ejpam-5409	109	2	have	have	VERB
ejpam-5409	109	3	φ(pn	φ(pn	NUM
ejpam-5409	109	4	▷v1	▷v1	NOUN
ejpam-5409	109	5	pm	pm	NOUN
ejpam-5409	109	6	)	)	PUNCT
ejpam-5409	109	7	=	=	SYM
ejpam-5409	109	8	5	5	X
ejpam-5409	109	9	.	.	PUNCT
ejpam-5409	109	10	proof	proof	NOUN
ejpam-5409	109	11	.	.	PUNCT
ejpam-5409	110	1	the	the	DET
ejpam-5409	110	2	graph	graph	NOUN
ejpam-5409	110	3	ln	ln	ADJ
ejpam-5409	110	4	▷v1	▷v1	PROPN
ejpam-5409	110	5	pm	pm	NOUN
ejpam-5409	110	6	is	be	AUX
ejpam-5409	110	7	a	a	DET
ejpam-5409	110	8	connected	connected	ADJ
ejpam-5409	110	9	graph	graph	NOUN
ejpam-5409	110	10	with	with	ADP
ejpam-5409	110	11	vertex	vertex	NOUN
ejpam-5409	110	12	set	set	VERB
ejpam-5409	110	13	v	v	NOUN
ejpam-5409	110	14	(	(	PUNCT
ejpam-5409	110	15	ln	ln	ADJ
ejpam-5409	110	16	▷v1	▷v1	PROPN
ejpam-5409	110	17	pm	pm	NOUN
ejpam-5409	110	18	)	)	PUNCT
ejpam-5409	110	19	=	=	PRON
ejpam-5409	110	20	{	{	PUNCT
ejpam-5409	110	21	xi	xi	PROPN
ejpam-5409	110	22	,	,	PUNCT
ejpam-5409	110	23	j	j	PROPN
ejpam-5409	110	24	;	;	PUNCT
ejpam-5409	110	25	1	1	NUM
ejpam-5409	110	26	≤	≤	NUM
ejpam-5409	110	27	i	i	PRON
ejpam-5409	110	28	≤	≤	PROPN
ejpam-5409	110	29	n	n	CCONJ
ejpam-5409	110	30	,	,	PUNCT
ejpam-5409	110	31	1	1	NUM
ejpam-5409	110	32	≤	≤	NUM
ejpam-5409	110	33	j	j	PROPN
ejpam-5409	110	34	≤	≤	PROPN
ejpam-5409	110	35	m	m	VERB
ejpam-5409	110	36	}	}	PUNCT
ejpam-5409	110	37	∪	∪	ADJ
ejpam-5409	110	38	{	{	PUNCT
ejpam-5409	110	39	yi	yi	PROPN
ejpam-5409	110	40	,	,	PUNCT
ejpam-5409	110	41	j	j	PROPN
ejpam-5409	110	42	;	;	PUNCT
ejpam-5409	110	43	1	1	NUM
ejpam-5409	110	44	≤	≤	NUM
ejpam-5409	110	45	i	i	PRON
ejpam-5409	110	46	≤	≤	PROPN
ejpam-5409	110	47	n	n	CCONJ
ejpam-5409	110	48	,	,	PUNCT
ejpam-5409	110	49	1	1	NUM
ejpam-5409	110	50	≤	≤	NUM
ejpam-5409	110	51	j	j	PROPN
ejpam-5409	110	52	≤	≤	PROPN
ejpam-5409	110	53	m	m	PROPN
ejpam-5409	110	54	}	}	PUNCT
ejpam-5409	110	55	and	and	CCONJ
ejpam-5409	110	56	edge	edge	NOUN
ejpam-5409	110	57	set	set	VERB
ejpam-5409	110	58	e(ln	e(ln	PROPN
ejpam-5409	110	59	▷v1	▷v1	PROPN
ejpam-5409	110	60	pm	pm	NOUN
ejpam-5409	110	61	)	)	PUNCT
ejpam-5409	110	62	=	=	PRON
ejpam-5409	110	63	{	{	PUNCT
ejpam-5409	110	64	xi,1xi+1,1	xi,1xi+1,1	NOUN
ejpam-5409	110	65	;	;	PUNCT
ejpam-5409	110	66	1	1	NUM
ejpam-5409	110	67	≤	≤	NUM
ejpam-5409	110	68	i	i	PRON
ejpam-5409	110	69	≤	≤	NUM
ejpam-5409	110	70	n−	n−	PROPN
ejpam-5409	110	71	1}∪{xi	1}∪{xi	PROPN
ejpam-5409	110	72	,	,	PUNCT
ejpam-5409	110	73	jxi	jxi	NOUN
ejpam-5409	110	74	,	,	PUNCT
ejpam-5409	110	75	j+1	j+1	PROPN
ejpam-5409	110	76	;	;	PUNCT
ejpam-5409	110	77	1	1	NUM
ejpam-5409	110	78	≤	≤	NUM
ejpam-5409	110	79	i	i	PRON
ejpam-5409	110	80	≤	≤	PROPN
ejpam-5409	110	81	n	n	CCONJ
ejpam-5409	110	82	,	,	PUNCT
ejpam-5409	110	83	1	1	NUM
ejpam-5409	110	84	≤	≤	NUM
ejpam-5409	111	1	j	j	PROPN
ejpam-5409	111	2	≤	≤	PROPN
ejpam-5409	111	3	m−	m−	PROPN
ejpam-5409	111	4	1}∪{yi,1yi+1,1	1}∪{yi,1yi+1,1	NUM
ejpam-5409	111	5	;	;	PUNCT
ejpam-5409	111	6	1	1	NUM
ejpam-5409	111	7	≤	≤	NUM
ejpam-5409	111	8	i	i	PRON
ejpam-5409	111	9	≤	≤	ADJ
ejpam-5409	111	10	n−	n−	PROPN
ejpam-5409	111	11	1}∪	1}∪	NOUN
ejpam-5409	111	12	{	{	PUNCT
ejpam-5409	111	13	yi	yi	PROPN
ejpam-5409	111	14	,	,	PUNCT
ejpam-5409	111	15	jyi	jyi	PROPN
ejpam-5409	111	16	,	,	PUNCT
ejpam-5409	111	17	j+1	j+1	NUM
ejpam-5409	111	18	;	;	PUNCT
ejpam-5409	111	19	1	1	NUM
ejpam-5409	111	20	≤	≤	NUM
ejpam-5409	111	21	i	i	PRON
ejpam-5409	111	22	≤	≤	PROPN
ejpam-5409	111	23	n	n	CCONJ
ejpam-5409	111	24	,	,	PUNCT
ejpam-5409	111	25	1	1	NUM
ejpam-5409	111	26	≤	≤	NUM
ejpam-5409	111	27	j	j	PROPN
ejpam-5409	111	28	≤	≤	PROPN
ejpam-5409	111	29	m−	m−	PROPN
ejpam-5409	111	30	1	1	NUM
ejpam-5409	111	31	}	}	PUNCT
ejpam-5409	111	32	∪	∪	ADJ
ejpam-5409	111	33	{	{	PUNCT
ejpam-5409	111	34	xi,1yi,1	xi,1yi,1	PROPN
ejpam-5409	111	35	;	;	PUNCT
ejpam-5409	111	36	1	1	NUM
ejpam-5409	111	37	≤	≤	NUM
ejpam-5409	111	38	i	i	PRON
ejpam-5409	111	39	≤	≤	NOUN
ejpam-5409	111	40	n	n	CCONJ
ejpam-5409	111	41	}	}	PUNCT
ejpam-5409	111	42	.	.	PUNCT
ejpam-5409	112	1	thus	thus	ADV
ejpam-5409	112	2	|v	|v	X
ejpam-5409	112	3	(	(	PUNCT
ejpam-5409	112	4	ln	ln	ADJ
ejpam-5409	112	5	▷v1	▷v1	PROPN
ejpam-5409	112	6	pm)|	pm)|	NOUN
ejpam-5409	112	7	=	=	SYM
ejpam-5409	112	8	2	2	NUM
ejpam-5409	112	9	nm	nm	NOUN
ejpam-5409	112	10	and	and	CCONJ
ejpam-5409	112	11	|e(ln▷v1pm)|	|e(ln▷v1pm)|	X
ejpam-5409	112	12	=	=	SYM
ejpam-5409	112	13	2nm+n−2	2nm+n−2	NUM
ejpam-5409	112	14	.	.	PUNCT
ejpam-5409	113	1	the	the	DET
ejpam-5409	113	2	chromatic	chromatic	ADJ
ejpam-5409	113	3	number	number	NOUN
ejpam-5409	113	4	γ(ln▷v1pm	γ(ln▷v1pm	NOUN
ejpam-5409	113	5	)	)	PUNCT
ejpam-5409	114	1	=	=	SYM
ejpam-5409	114	2	2	2	NUM
ejpam-5409	114	3	and	and	CCONJ
ejpam-5409	114	4	maximum	maximum	ADJ
ejpam-5409	114	5	degree	degree	NOUN
ejpam-5409	114	6	∆(ln	∆(ln	NOUN
ejpam-5409	114	7	▷v1	▷v1	NOUN
ejpam-5409	114	8	pm	pm	NOUN
ejpam-5409	114	9	)	)	PUNCT
ejpam-5409	114	10	=	=	SYM
ejpam-5409	115	1	4	4	X
ejpam-5409	115	2	.	.	PUNCT
ejpam-5409	115	3	to	to	PART
ejpam-5409	115	4	obtain	obtain	VERB
ejpam-5409	115	5	the	the	DET
ejpam-5409	115	6	b	b	NOUN
ejpam-5409	115	7	-	-	PUNCT
ejpam-5409	115	8	chromatic	chromatic	ADJ
ejpam-5409	115	9	number	number	NOUN
ejpam-5409	115	10	φ(ln	φ(ln	NOUN
ejpam-5409	115	11	▷v1	▷v1	NOUN
ejpam-5409	115	12	pm	pm	NOUN
ejpam-5409	115	13	)	)	PUNCT
ejpam-5409	115	14	for	for	ADP
ejpam-5409	115	15	n	n	PRON
ejpam-5409	115	16	≥	≥	NUM
ejpam-5409	115	17	7,m	7,m	NUM
ejpam-5409	115	18	≥	≥	NUM
ejpam-5409	115	19	3	3	NUM
ejpam-5409	115	20	,	,	PUNCT
ejpam-5409	115	21	we	we	PRON
ejpam-5409	115	22	will	will	AUX
ejpam-5409	115	23	analyze	analyze	VERB
ejpam-5409	115	24	the	the	DET
ejpam-5409	115	25	upper	upper	ADJ
ejpam-5409	115	26	bound	bind	VERB
ejpam-5409	115	27	of	of	ADP
ejpam-5409	115	28	ln	ln	ADJ
ejpam-5409	115	29	▷v1	▷v1	PROPN
ejpam-5409	115	30	pm	pm	NOUN
ejpam-5409	115	31	.	.	PUNCT
ejpam-5409	116	1	based	base	VERB
ejpam-5409	116	2	on	on	ADP
ejpam-5409	116	3	definition	definition	NOUN
ejpam-5409	116	4	2	2	NUM
ejpam-5409	116	5	and	and	CCONJ
ejpam-5409	116	6	lemma	lemma	PROPN
ejpam-5409	116	7	1	1	NUM
ejpam-5409	116	8	,	,	PUNCT
ejpam-5409	116	9	we	we	PRON
ejpam-5409	116	10	have	have	VERB
ejpam-5409	116	11	χ(ln	χ(ln	NUM
ejpam-5409	116	12	▷v1	▷v1	PROPN
ejpam-5409	116	13	a.	a.	NOUN
ejpam-5409	116	14	i.	i.	PROPN
ejpam-5409	116	15	kristiana	kristiana	PROPN
ejpam-5409	117	1	et	et	PROPN
ejpam-5409	117	2	al	al	PROPN
ejpam-5409	117	3	.	.	PUNCT
ejpam-5409	117	4	/	/	SYM
ejpam-5409	117	5	eur	eur	PROPN
ejpam-5409	117	6	.	.	PUNCT
ejpam-5409	118	1	j.	j.	PROPN
ejpam-5409	118	2	pure	pure	PROPN
ejpam-5409	118	3	appl	appl	PROPN
ejpam-5409	118	4	.	.	PROPN
ejpam-5409	118	5	math	math	PROPN
ejpam-5409	118	6	,	,	PUNCT
ejpam-5409	118	7	17	17	NUM
ejpam-5409	118	8	(	(	PUNCT
ejpam-5409	118	9	4	4	NUM
ejpam-5409	118	10	)	)	PUNCT
ejpam-5409	118	11	(	(	PUNCT
ejpam-5409	118	12	2024	2024	NUM
ejpam-5409	118	13	)	)	PUNCT
ejpam-5409	118	14	,	,	PUNCT
ejpam-5409	118	15	3356	3356	NUM
ejpam-5409	118	16	-	-	SYM
ejpam-5409	118	17	3369	3369	NUM
ejpam-5409	118	18	3361	3361	NUM
ejpam-5409	118	19	pm	pm	NOUN
ejpam-5409	118	20	)	)	PUNCT
ejpam-5409	118	21	≤	≤	NOUN
ejpam-5409	118	22	φ(ln	φ(ln	NUM
ejpam-5409	118	23	▷v2	▷v2	NOUN
ejpam-5409	118	24	pm	pm	NOUN
ejpam-5409	118	25	)	)	PUNCT
ejpam-5409	118	26	≤	≤	NUM
ejpam-5409	118	27	∆(ln	∆(ln	NOUN
ejpam-5409	118	28	▷v2	▷v2	NOUN
ejpam-5409	118	29	pm	pm	VERB
ejpam-5409	118	30	)	)	PUNCT
ejpam-5409	119	1	+	+	CCONJ
ejpam-5409	119	2	1	1	NUM
ejpam-5409	119	3	=	=	SYM
ejpam-5409	119	4	5	5	NUM
ejpam-5409	119	5	←→	←→	X
ejpam-5409	119	6	φ(ln	φ(ln	PROPN
ejpam-5409	119	7	▷v1	▷v1	NOUN
ejpam-5409	119	8	pm	pm	NOUN
ejpam-5409	119	9	)	)	PUNCT
ejpam-5409	119	10	≤	≤	NOUN
ejpam-5409	119	11	5	5	NUM
ejpam-5409	119	12	.	.	PUNCT
ejpam-5409	120	1	furthermore	furthermore	ADV
ejpam-5409	120	2	,	,	PUNCT
ejpam-5409	120	3	we	we	PRON
ejpam-5409	120	4	need	need	VERB
ejpam-5409	120	5	to	to	PART
ejpam-5409	120	6	find	find	VERB
ejpam-5409	120	7	the	the	DET
ejpam-5409	120	8	exact	exact	ADJ
ejpam-5409	120	9	value	value	NOUN
ejpam-5409	120	10	of	of	ADP
ejpam-5409	120	11	φ(ln	φ(ln	PROPN
ejpam-5409	120	12	▷v1	▷v1	NOUN
ejpam-5409	120	13	pm	pm	NOUN
ejpam-5409	120	14	)	)	PUNCT
ejpam-5409	120	15	by	by	ADP
ejpam-5409	120	16	defining	define	VERB
ejpam-5409	120	17	the	the	DET
ejpam-5409	120	18	coloring	coloring	NOUN
ejpam-5409	120	19	function	function	NOUN
ejpam-5409	120	20	as	as	SCONJ
ejpam-5409	120	21	follows	follow	VERB
ejpam-5409	120	22	f	f	X
ejpam-5409	120	23	:	:	PUNCT
ejpam-5409	120	24	v	v	X
ejpam-5409	120	25	(	(	PUNCT
ejpam-5409	120	26	ln	ln	ADJ
ejpam-5409	120	27	▷v2	▷v2	NOUN
ejpam-5409	120	28	pm)→	pm)→	AUX
ejpam-5409	120	29	{	{	PUNCT
ejpam-5409	120	30	1	1	NUM
ejpam-5409	120	31	,	,	PUNCT
ejpam-5409	120	32	2	2	NUM
ejpam-5409	120	33	,	,	PUNCT
ejpam-5409	120	34	3	3	NUM
ejpam-5409	120	35	,	,	PUNCT
ejpam-5409	120	36	.	.	PUNCT
ejpam-5409	120	37	.	.	PUNCT
ejpam-5409	120	38	.	.	PUNCT
ejpam-5409	121	1	,	,	PUNCT
ejpam-5409	121	2	k	k	X
ejpam-5409	121	3	}	}	PUNCT
ejpam-5409	121	4	as	as	SCONJ
ejpam-5409	121	5	follows	follow	VERB
ejpam-5409	121	6	f(xi	f(xi	PROPN
ejpam-5409	121	7	,	,	PUNCT
ejpam-5409	121	8	j)=	j)=	NOUN
ejpam-5409	121	9			PROPN
ejpam-5409	122	1	1	1	NUM
ejpam-5409	122	2	,	,	PUNCT
ejpam-5409	122	3	if	if	SCONJ
ejpam-5409	122	4	i	i	PRON
ejpam-5409	122	5	≡	≡	PROPN
ejpam-5409	122	6	1	1	NUM
ejpam-5409	122	7	mod	mod	NOUN
ejpam-5409	122	8	5	5	NUM
ejpam-5409	122	9	,	,	PUNCT
ejpam-5409	122	10	j	j	PROPN
ejpam-5409	122	11	≡	≡	PROPN
ejpam-5409	122	12	1	1	NUM
ejpam-5409	122	13	mod	mod	NOUN
ejpam-5409	122	14	2	2	NUM
ejpam-5409	122	15	if	if	SCONJ
ejpam-5409	122	16	i	i	PRON
ejpam-5409	122	17	≡	≡	PROPN
ejpam-5409	122	18	3	3	NUM
ejpam-5409	122	19	mod	mod	NOUN
ejpam-5409	122	20	5	5	NUM
ejpam-5409	122	21	,	,	PUNCT
ejpam-5409	122	22	j	j	PROPN
ejpam-5409	122	23	≡	≡	PROPN
ejpam-5409	122	24	0	0	NUM
ejpam-5409	122	25	mod	mod	PROPN
ejpam-5409	122	26	2	2	NUM
ejpam-5409	122	27	2	2	NUM
ejpam-5409	122	28	,	,	PUNCT
ejpam-5409	122	29	if	if	SCONJ
ejpam-5409	122	30	i	i	PRON
ejpam-5409	122	31	≡	≡	PROPN
ejpam-5409	122	32	2	2	NUM
ejpam-5409	122	33	mod	mod	NOUN
ejpam-5409	122	34	5	5	NUM
ejpam-5409	122	35	,	,	PUNCT
ejpam-5409	122	36	j	j	PROPN
ejpam-5409	122	37	≡	≡	PROPN
ejpam-5409	122	38	1	1	NUM
ejpam-5409	122	39	mod	mod	NOUN
ejpam-5409	122	40	2	2	NUM
ejpam-5409	122	41	if	if	SCONJ
ejpam-5409	122	42	i	i	PRON
ejpam-5409	122	43	≡	≡	PROPN
ejpam-5409	122	44	0	0	NUM
ejpam-5409	122	45	mod	mod	PROPN
ejpam-5409	122	46	5	5	NUM
ejpam-5409	122	47	,	,	PUNCT
ejpam-5409	122	48	j	j	PROPN
ejpam-5409	122	49	≡	≡	PROPN
ejpam-5409	122	50	0	0	NUM
ejpam-5409	122	51	mod	mod	PROPN
ejpam-5409	122	52	2	2	NUM
ejpam-5409	122	53	3	3	NUM
ejpam-5409	122	54	,	,	PUNCT
ejpam-5409	122	55	if	if	SCONJ
ejpam-5409	122	56	i	i	PRON
ejpam-5409	122	57	≡	≡	PROPN
ejpam-5409	122	58	3	3	NUM
ejpam-5409	122	59	mod	mod	NOUN
ejpam-5409	122	60	5	5	NUM
ejpam-5409	122	61	,	,	PUNCT
ejpam-5409	122	62	j	j	PROPN
ejpam-5409	122	63	≡	≡	PROPN
ejpam-5409	122	64	1	1	NUM
ejpam-5409	122	65	mod	mod	NOUN
ejpam-5409	122	66	2	2	NUM
ejpam-5409	122	67	if	if	SCONJ
ejpam-5409	122	68	i	i	PRON
ejpam-5409	122	69	≡	≡	PROPN
ejpam-5409	122	70	4	4	NUM
ejpam-5409	122	71	mod	mod	NOUN
ejpam-5409	122	72	5	5	NUM
ejpam-5409	122	73	,	,	PUNCT
ejpam-5409	122	74	j	j	PROPN
ejpam-5409	122	75	≡	≡	PROPN
ejpam-5409	122	76	0	0	NUM
ejpam-5409	122	77	mod	mod	PROPN
ejpam-5409	122	78	2	2	NUM
ejpam-5409	122	79	4	4	NUM
ejpam-5409	122	80	,	,	PUNCT
ejpam-5409	122	81	if	if	SCONJ
ejpam-5409	122	82	i	i	PRON
ejpam-5409	122	83	≡	≡	PROPN
ejpam-5409	122	84	4	4	NUM
ejpam-5409	122	85	mod	mod	NOUN
ejpam-5409	122	86	5	5	NUM
ejpam-5409	122	87	,	,	PUNCT
ejpam-5409	122	88	j	j	PROPN
ejpam-5409	122	89	≡	≡	PROPN
ejpam-5409	122	90	1	1	NUM
ejpam-5409	122	91	mod	mod	NOUN
ejpam-5409	122	92	2	2	NUM
ejpam-5409	122	93	if	if	SCONJ
ejpam-5409	122	94	i	i	PRON
ejpam-5409	122	95	≡	≡	PROPN
ejpam-5409	122	96	1	1	NUM
ejpam-5409	122	97	mod	mod	NOUN
ejpam-5409	122	98	5	5	NUM
ejpam-5409	122	99	,	,	PUNCT
ejpam-5409	122	100	j	j	PROPN
ejpam-5409	122	101	≡	≡	PROPN
ejpam-5409	122	102	0	0	NUM
ejpam-5409	122	103	mod	mod	PROPN
ejpam-5409	122	104	2	2	NUM
ejpam-5409	122	105	5	5	NUM
ejpam-5409	122	106	,	,	PUNCT
ejpam-5409	122	107	if	if	SCONJ
ejpam-5409	122	108	i	i	PRON
ejpam-5409	122	109	≡	≡	PROPN
ejpam-5409	122	110	0	0	NUM
ejpam-5409	122	111	mod	mod	PROPN
ejpam-5409	122	112	5	5	NUM
ejpam-5409	122	113	,	,	PUNCT
ejpam-5409	122	114	j	j	PROPN
ejpam-5409	122	115	≡	≡	PROPN
ejpam-5409	122	116	1	1	NUM
ejpam-5409	122	117	mod	mod	NOUN
ejpam-5409	122	118	2	2	NUM
ejpam-5409	122	119	if	if	SCONJ
ejpam-5409	122	120	i	i	PRON
ejpam-5409	122	121	≡	≡	PROPN
ejpam-5409	122	122	2	2	NUM
ejpam-5409	122	123	mod	mod	NOUN
ejpam-5409	122	124	5	5	NUM
ejpam-5409	122	125	,	,	PUNCT
ejpam-5409	122	126	j	j	PROPN
ejpam-5409	122	127	≡	≡	PROPN
ejpam-5409	122	128	0	0	NUM
ejpam-5409	122	129	mod	mod	PROPN
ejpam-5409	122	130	2	2	NUM
ejpam-5409	122	131	f(yi	f(yi	PROPN
ejpam-5409	122	132	,	,	PUNCT
ejpam-5409	122	133	j)=	j)=	NOUN
ejpam-5409	122	134			PROPN
ejpam-5409	122	135	1	1	NUM
ejpam-5409	122	136	,	,	PUNCT
ejpam-5409	122	137	if	if	SCONJ
ejpam-5409	122	138	i	i	PRON
ejpam-5409	122	139	≡	≡	PROPN
ejpam-5409	122	140	4	4	NUM
ejpam-5409	122	141	mod	mod	NOUN
ejpam-5409	122	142	5	5	NUM
ejpam-5409	122	143	,	,	PUNCT
ejpam-5409	122	144	j	j	PROPN
ejpam-5409	122	145	≡	≡	PROPN
ejpam-5409	122	146	1	1	NUM
ejpam-5409	123	1	mod	mod	NOUN
ejpam-5409	123	2	2	2	NUM
ejpam-5409	124	1	if	if	SCONJ
ejpam-5409	124	2	i	i	PRON
ejpam-5409	124	3	≡	≡	PROPN
ejpam-5409	124	4	2	2	NUM
ejpam-5409	124	5	mod	mod	NOUN
ejpam-5409	124	6	5	5	NUM
ejpam-5409	124	7	,	,	PUNCT
ejpam-5409	124	8	j	j	PROPN
ejpam-5409	124	9	≡	≡	PROPN
ejpam-5409	124	10	0	0	NUM
ejpam-5409	124	11	mod	mod	PROPN
ejpam-5409	124	12	2	2	NUM
ejpam-5409	124	13	2	2	NUM
ejpam-5409	124	14	,	,	PUNCT
ejpam-5409	124	15	if	if	SCONJ
ejpam-5409	124	16	i	i	PRON
ejpam-5409	124	17	≡	≡	PROPN
ejpam-5409	124	18	0	0	NUM
ejpam-5409	125	1	mod	mod	PROPN
ejpam-5409	125	2	5	5	NUM
ejpam-5409	125	3	,	,	PUNCT
ejpam-5409	125	4	j	j	PROPN
ejpam-5409	125	5	≡	≡	PROPN
ejpam-5409	125	6	1	1	NUM
ejpam-5409	125	7	mod	mod	NOUN
ejpam-5409	125	8	2	2	NUM
ejpam-5409	125	9	if	if	SCONJ
ejpam-5409	125	10	i	i	PRON
ejpam-5409	125	11	≡	≡	PROPN
ejpam-5409	125	12	3	3	NUM
ejpam-5409	125	13	mod	mod	NOUN
ejpam-5409	125	14	5	5	NUM
ejpam-5409	125	15	,	,	PUNCT
ejpam-5409	125	16	j	j	PROPN
ejpam-5409	125	17	≡	≡	PROPN
ejpam-5409	125	18	0	0	NUM
ejpam-5409	125	19	mod	mod	PROPN
ejpam-5409	125	20	2	2	NUM
ejpam-5409	125	21	3	3	NUM
ejpam-5409	125	22	,	,	PUNCT
ejpam-5409	125	23	if	if	SCONJ
ejpam-5409	125	24	i	i	PRON
ejpam-5409	125	25	≡	≡	PROPN
ejpam-5409	125	26	1	1	NUM
ejpam-5409	125	27	mod	mod	NOUN
ejpam-5409	125	28	5	5	NUM
ejpam-5409	125	29	,	,	PUNCT
ejpam-5409	125	30	j	j	PROPN
ejpam-5409	125	31	≡	≡	PROPN
ejpam-5409	125	32	1	1	NUM
ejpam-5409	125	33	mod	mod	NOUN
ejpam-5409	125	34	2	2	NUM
ejpam-5409	125	35	if	if	SCONJ
ejpam-5409	125	36	i	i	PRON
ejpam-5409	125	37	≡	≡	PROPN
ejpam-5409	125	38	4	4	NUM
ejpam-5409	125	39	mod	mod	NOUN
ejpam-5409	125	40	5	5	NUM
ejpam-5409	125	41	,	,	PUNCT
ejpam-5409	125	42	j	j	PROPN
ejpam-5409	125	43	≡	≡	PROPN
ejpam-5409	125	44	0	0	NUM
ejpam-5409	125	45	mod	mod	PROPN
ejpam-5409	125	46	2	2	NUM
ejpam-5409	125	47	4	4	NUM
ejpam-5409	125	48	,	,	PUNCT
ejpam-5409	126	1	if	if	SCONJ
ejpam-5409	126	2	i	i	PRON
ejpam-5409	126	3	≡	≡	PROPN
ejpam-5409	126	4	2	2	NUM
ejpam-5409	126	5	mod	mod	NOUN
ejpam-5409	126	6	5	5	NUM
ejpam-5409	126	7	,	,	PUNCT
ejpam-5409	126	8	j	j	PROPN
ejpam-5409	126	9	≡	≡	PROPN
ejpam-5409	126	10	1	1	NUM
ejpam-5409	126	11	mod	mod	NOUN
ejpam-5409	126	12	2	2	NUM
ejpam-5409	126	13	if	if	SCONJ
ejpam-5409	126	14	i	i	PRON
ejpam-5409	126	15	≡	≡	PROPN
ejpam-5409	126	16	0	0	NUM
ejpam-5409	126	17	mod	mod	PROPN
ejpam-5409	126	18	5	5	NUM
ejpam-5409	126	19	,	,	PUNCT
ejpam-5409	126	20	j	j	PROPN
ejpam-5409	126	21	≡	≡	PROPN
ejpam-5409	126	22	0	0	NUM
ejpam-5409	126	23	mod	mod	PROPN
ejpam-5409	126	24	2	2	NUM
ejpam-5409	126	25	5	5	NUM
ejpam-5409	126	26	,	,	PUNCT
ejpam-5409	126	27	if	if	SCONJ
ejpam-5409	126	28	i	i	PRON
ejpam-5409	126	29	≡	≡	PROPN
ejpam-5409	126	30	3	3	NUM
ejpam-5409	126	31	mod	mod	NOUN
ejpam-5409	126	32	5	5	NUM
ejpam-5409	126	33	,	,	PUNCT
ejpam-5409	126	34	j	j	PROPN
ejpam-5409	126	35	≡	≡	PROPN
ejpam-5409	126	36	1	1	NUM
ejpam-5409	126	37	mod	mod	NOUN
ejpam-5409	126	38	2	2	NUM
ejpam-5409	126	39	if	if	SCONJ
ejpam-5409	126	40	i	i	PRON
ejpam-5409	126	41	≡	≡	PROPN
ejpam-5409	126	42	1	1	NUM
ejpam-5409	126	43	mod	mod	NOUN
ejpam-5409	126	44	5	5	NUM
ejpam-5409	126	45	,	,	PUNCT
ejpam-5409	126	46	j	j	PROPN
ejpam-5409	126	47	≡	≡	PROPN
ejpam-5409	126	48	0	0	NUM
ejpam-5409	126	49	mod	mod	PROPN
ejpam-5409	126	50	2	2	NUM
ejpam-5409	126	51	based	base	VERB
ejpam-5409	126	52	on	on	ADP
ejpam-5409	126	53	the	the	DET
ejpam-5409	126	54	function	function	NOUN
ejpam-5409	126	55	above	above	ADV
ejpam-5409	126	56	,	,	PUNCT
ejpam-5409	126	57	we	we	PRON
ejpam-5409	126	58	have	have	VERB
ejpam-5409	126	59	f	f	X
ejpam-5409	126	60	:	:	PUNCT
ejpam-5409	126	61	v	v	X
ejpam-5409	126	62	(	(	PUNCT
ejpam-5409	126	63	ln	ln	ADJ
ejpam-5409	126	64	▷v1	▷v1	NOUN
ejpam-5409	126	65	pm)→	pm)→	AUX
ejpam-5409	126	66	{	{	PUNCT
ejpam-5409	126	67	1	1	NUM
ejpam-5409	126	68	,	,	PUNCT
ejpam-5409	126	69	2	2	NUM
ejpam-5409	126	70	,	,	PUNCT
ejpam-5409	126	71	3	3	NUM
ejpam-5409	126	72	,	,	PUNCT
ejpam-5409	126	73	4	4	NUM
ejpam-5409	126	74	,	,	PUNCT
ejpam-5409	126	75	5	5	NUM
ejpam-5409	126	76	}	}	PUNCT
ejpam-5409	126	77	.	.	PUNCT
ejpam-5409	127	1	thus	thus	ADV
ejpam-5409	127	2	,	,	PUNCT
ejpam-5409	127	3	we	we	PRON
ejpam-5409	127	4	have	have	VERB
ejpam-5409	127	5	k	k	NOUN
ejpam-5409	127	6	=	=	SYM
ejpam-5409	127	7	5	5	X
ejpam-5409	127	8	.	.	PUNCT
ejpam-5409	128	1	it	it	PRON
ejpam-5409	128	2	implies	imply	VERB
ejpam-5409	128	3	that	that	DET
ejpam-5409	128	4	φ(ln▷v1pm	φ(ln▷v1pm	NOUN
ejpam-5409	128	5	)	)	PUNCT
ejpam-5409	129	1	=	=	SYM
ejpam-5409	129	2	5	5	X
ejpam-5409	129	3	.	.	PUNCT
ejpam-5409	130	1	the	the	DET
ejpam-5409	130	2	last	last	ADJ
ejpam-5409	130	3	,	,	PUNCT
ejpam-5409	130	4	we	we	PRON
ejpam-5409	130	5	need	need	VERB
ejpam-5409	130	6	to	to	PART
ejpam-5409	130	7	show	show	VERB
ejpam-5409	130	8	that	that	SCONJ
ejpam-5409	130	9	each	each	DET
ejpam-5409	130	10	color	color	NOUN
ejpam-5409	130	11	class	class	NOUN
ejpam-5409	130	12	has	have	VERB
ejpam-5409	130	13	at	at	ADV
ejpam-5409	130	14	least	least	ADV
ejpam-5409	130	15	one	one	NUM
ejpam-5409	130	16	vertex	vertex	NOUN
ejpam-5409	130	17	that	that	PRON
ejpam-5409	130	18	adjacent	adjacent	ADJ
ejpam-5409	130	19	with	with	ADP
ejpam-5409	130	20	all	all	DET
ejpam-5409	130	21	other	other	ADJ
ejpam-5409	130	22	color	color	NOUN
ejpam-5409	130	23	classes	class	NOUN
ejpam-5409	130	24	.	.	PUNCT
ejpam-5409	131	1	according	accord	VERB
ejpam-5409	131	2	to	to	ADP
ejpam-5409	131	3	the	the	DET
ejpam-5409	131	4	labeling	labeling	NOUN
ejpam-5409	131	5	,	,	PUNCT
ejpam-5409	131	6	the	the	DET
ejpam-5409	131	7	b−chromatic	b−chromatic	ADJ
ejpam-5409	131	8	number	number	NOUN
ejpam-5409	131	9	of	of	ADP
ejpam-5409	131	10	graph	graph	NOUN
ejpam-5409	131	11	ln	ln	ADJ
ejpam-5409	131	12	▷v1	▷v1	PROPN
ejpam-5409	131	13	pm	pm	NOUN
ejpam-5409	131	14	is	be	AUX
ejpam-5409	131	15	five	five	NUM
ejpam-5409	131	16	,	,	PUNCT
ejpam-5409	131	17	thus	thus	ADV
ejpam-5409	131	18	we	we	PRON
ejpam-5409	131	19	have	have	VERB
ejpam-5409	131	20	c1	c1	PROPN
ejpam-5409	131	21	=	=	PUNCT
ejpam-5409	131	22	{	{	PUNCT
ejpam-5409	131	23	xi	xi	PROPN
ejpam-5409	131	24	,	,	PUNCT
ejpam-5409	131	25	j	j	PROPN
ejpam-5409	131	26	|i	|i	X
ejpam-5409	131	27	≡	≡	PROPN
ejpam-5409	131	28	1mod	1mod	PROPN
ejpam-5409	131	29	5	5	NUM
ejpam-5409	131	30	,	,	PUNCT
ejpam-5409	131	31	j	j	PROPN
ejpam-5409	131	32	≡	≡	PROPN
ejpam-5409	131	33	1mod	1mod	PROPN
ejpam-5409	131	34	2	2	NUM
ejpam-5409	131	35	;	;	PUNCT
ejpam-5409	131	36	i	i	PRON
ejpam-5409	131	37	≡	≡	PROPN
ejpam-5409	132	1	3mod	3mod	NUM
ejpam-5409	132	2	5	5	NUM
ejpam-5409	132	3	,	,	PUNCT
ejpam-5409	132	4	j	j	PROPN
ejpam-5409	132	5	≡	≡	PROPN
ejpam-5409	132	6	0mod	0mod	PROPN
ejpam-5409	132	7	2	2	X
ejpam-5409	132	8	}	}	PUNCT
ejpam-5409	132	9	,	,	PUNCT
ejpam-5409	132	10	c2	c2	PROPN
ejpam-5409	132	11	=	=	SYM
ejpam-5409	132	12	{	{	PUNCT
ejpam-5409	132	13	xi	xi	PROPN
ejpam-5409	132	14	,	,	PUNCT
ejpam-5409	132	15	j	j	PROPN
ejpam-5409	132	16	|i	|i	X
ejpam-5409	132	17	≡	≡	PROPN
ejpam-5409	132	18	2mod	2mod	PROPN
ejpam-5409	132	19	5	5	NUM
ejpam-5409	132	20	,	,	PUNCT
ejpam-5409	132	21	j	j	PROPN
ejpam-5409	132	22	≡	≡	PROPN
ejpam-5409	132	23	1mod	1mod	PROPN
ejpam-5409	132	24	2	2	NUM
ejpam-5409	132	25	;	;	PUNCT
ejpam-5409	132	26	i	i	PRON
ejpam-5409	132	27	≡	≡	PROPN
ejpam-5409	132	28	0mod	0mod	PROPN
ejpam-5409	132	29	5	5	NUM
ejpam-5409	132	30	,	,	PUNCT
ejpam-5409	132	31	j	j	PROPN
ejpam-5409	132	32	≡	≡	PROPN
ejpam-5409	132	33	0mod	0mod	PROPN
ejpam-5409	132	34	2	2	X
ejpam-5409	132	35	}	}	PUNCT
ejpam-5409	132	36	,	,	PUNCT
ejpam-5409	132	37	c3	c3	PROPN
ejpam-5409	132	38	=	=	PUNCT
ejpam-5409	132	39	{	{	PUNCT
ejpam-5409	132	40	xi	xi	PROPN
ejpam-5409	132	41	,	,	PUNCT
ejpam-5409	132	42	j	j	PROPN
ejpam-5409	132	43	|i	|i	X
ejpam-5409	132	44	≡	≡	PROPN
ejpam-5409	132	45	3mod	3mod	PROPN
ejpam-5409	132	46	5	5	NUM
ejpam-5409	132	47	,	,	PUNCT
ejpam-5409	132	48	j	j	PROPN
ejpam-5409	132	49	≡	≡	PROPN
ejpam-5409	132	50	1mod	1mod	PROPN
ejpam-5409	132	51	2	2	NUM
ejpam-5409	132	52	;	;	PUNCT
ejpam-5409	132	53	i	i	PRON
ejpam-5409	132	54	≡	≡	PROPN
ejpam-5409	132	55	4mod	4mod	PROPN
ejpam-5409	132	56	5	5	NUM
ejpam-5409	132	57	,	,	PUNCT
ejpam-5409	132	58	j	j	PROPN
ejpam-5409	132	59	≡	≡	PROPN
ejpam-5409	132	60	0mod	0mod	PROPN
ejpam-5409	132	61	2	2	X
ejpam-5409	132	62	}	}	PUNCT
ejpam-5409	132	63	,	,	PUNCT
ejpam-5409	132	64	c4	c4	NOUN
ejpam-5409	132	65	=	=	SYM
ejpam-5409	132	66	{	{	PUNCT
ejpam-5409	132	67	xi	xi	PROPN
ejpam-5409	132	68	,	,	PUNCT
ejpam-5409	132	69	j	j	PROPN
ejpam-5409	132	70	|i	|i	X
ejpam-5409	132	71	≡	≡	PROPN
ejpam-5409	132	72	4mod	4mod	PROPN
ejpam-5409	132	73	5	5	NUM
ejpam-5409	132	74	,	,	PUNCT
ejpam-5409	132	75	j	j	PROPN
ejpam-5409	132	76	≡	≡	PROPN
ejpam-5409	132	77	1mod	1mod	PROPN
ejpam-5409	132	78	2	2	NUM
ejpam-5409	132	79	;	;	PUNCT
ejpam-5409	132	80	i	i	PROPN
ejpam-5409	132	81	≡	≡	PROPN
ejpam-5409	132	82	1mod	1mod	PROPN
ejpam-5409	132	83	5	5	NUM
ejpam-5409	132	84	,	,	PUNCT
ejpam-5409	132	85	j	j	PROPN
ejpam-5409	132	86	≡	≡	PROPN
ejpam-5409	132	87	0mod	0mod	PROPN
ejpam-5409	133	1	2	2	X
ejpam-5409	133	2	}	}	PUNCT
ejpam-5409	133	3	,	,	PUNCT
ejpam-5409	133	4	c5	c5	PROPN
ejpam-5409	133	5	=	=	PROPN
ejpam-5409	133	6	{	{	PUNCT
ejpam-5409	133	7	xi	xi	PROPN
ejpam-5409	133	8	,	,	PUNCT
ejpam-5409	133	9	j	j	PROPN
ejpam-5409	133	10	|i	|i	X
ejpam-5409	133	11	≡	≡	PROPN
ejpam-5409	133	12	0mod	0mod	PROPN
ejpam-5409	133	13	5	5	NUM
ejpam-5409	133	14	,	,	PUNCT
ejpam-5409	133	15	j	j	PROPN
ejpam-5409	133	16	≡	≡	PROPN
ejpam-5409	133	17	1mod	1mod	PROPN
ejpam-5409	133	18	2	2	NUM
ejpam-5409	133	19	;	;	PUNCT
ejpam-5409	133	20	i	i	PRON
ejpam-5409	133	21	≡	≡	PROPN
ejpam-5409	133	22	2mod	2mod	PROPN
ejpam-5409	133	23	5	5	NUM
ejpam-5409	133	24	,	,	PUNCT
ejpam-5409	133	25	j	j	PROPN
ejpam-5409	133	26	≡	≡	PROPN
ejpam-5409	133	27	0mod	0mod	PROPN
ejpam-5409	133	28	2	2	X
ejpam-5409	133	29	}	}	PUNCT
ejpam-5409	133	30	and	and	CCONJ
ejpam-5409	133	31	c1	c1	PROPN
ejpam-5409	133	32	=	=	SYM
ejpam-5409	133	33	{	{	PUNCT
ejpam-5409	133	34	yi	yi	PROPN
ejpam-5409	133	35	,	,	PUNCT
ejpam-5409	133	36	j	j	PROPN
ejpam-5409	133	37	|i	|i	X
ejpam-5409	133	38	≡	≡	PROPN
ejpam-5409	133	39	4mod	4mod	PROPN
ejpam-5409	133	40	5	5	NUM
ejpam-5409	133	41	,	,	PUNCT
ejpam-5409	133	42	j	j	PROPN
ejpam-5409	133	43	≡	≡	PROPN
ejpam-5409	133	44	1mod	1mod	PROPN
ejpam-5409	133	45	2	2	NUM
ejpam-5409	133	46	;	;	PUNCT
ejpam-5409	133	47	i	i	PRON
ejpam-5409	133	48	≡	≡	PROPN
ejpam-5409	133	49	2mod	2mod	PROPN
ejpam-5409	133	50	5	5	NUM
ejpam-5409	133	51	,	,	PUNCT
ejpam-5409	133	52	j	j	PROPN
ejpam-5409	133	53	≡	≡	PROPN
ejpam-5409	133	54	0mod	0mod	PROPN
ejpam-5409	133	55	2	2	X
ejpam-5409	133	56	}	}	PUNCT
ejpam-5409	133	57	,	,	PUNCT
ejpam-5409	133	58	c2	c2	PROPN
ejpam-5409	133	59	=	=	SYM
ejpam-5409	133	60	{	{	PUNCT
ejpam-5409	133	61	yi	yi	PROPN
ejpam-5409	133	62	,	,	PUNCT
ejpam-5409	133	63	j	j	PROPN
ejpam-5409	133	64	|i	|i	PUNCT
ejpam-5409	133	65	≡	≡	PROPN
ejpam-5409	133	66	0mod	0mod	PROPN
ejpam-5409	133	67	5	5	NUM
ejpam-5409	133	68	,	,	PUNCT
ejpam-5409	133	69	j	j	PROPN
ejpam-5409	133	70	≡	≡	PROPN
ejpam-5409	133	71	1mod	1mod	PROPN
ejpam-5409	133	72	2	2	NUM
ejpam-5409	133	73	;	;	PUNCT
ejpam-5409	133	74	i	i	PRON
ejpam-5409	133	75	≡	≡	PROPN
ejpam-5409	134	1	3mod	3mod	NUM
ejpam-5409	134	2	5	5	NUM
ejpam-5409	134	3	,	,	PUNCT
ejpam-5409	134	4	j	j	PROPN
ejpam-5409	134	5	≡	≡	PROPN
ejpam-5409	134	6	0mod	0mod	PROPN
ejpam-5409	134	7	2	2	X
ejpam-5409	134	8	}	}	PUNCT
ejpam-5409	134	9	,	,	PUNCT
ejpam-5409	134	10	c3	c3	PROPN
ejpam-5409	134	11	=	=	SYM
ejpam-5409	134	12	{	{	PUNCT
ejpam-5409	134	13	yi	yi	PROPN
ejpam-5409	134	14	,	,	PUNCT
ejpam-5409	134	15	j	j	PROPN
ejpam-5409	134	16	|i	|i	PUNCT
ejpam-5409	134	17	≡	≡	PROPN
ejpam-5409	134	18	1mod	1mod	PROPN
ejpam-5409	134	19	5	5	NUM
ejpam-5409	134	20	,	,	PUNCT
ejpam-5409	134	21	j	j	PROPN
ejpam-5409	134	22	≡	≡	PROPN
ejpam-5409	134	23	1mod	1mod	PROPN
ejpam-5409	134	24	2	2	NUM
ejpam-5409	134	25	;	;	PUNCT
ejpam-5409	134	26	i	i	PRON
ejpam-5409	134	27	≡	≡	PROPN
ejpam-5409	134	28	4mod	4mod	PROPN
ejpam-5409	134	29	5	5	NUM
ejpam-5409	134	30	,	,	PUNCT
ejpam-5409	134	31	j	j	PROPN
ejpam-5409	134	32	≡	≡	PROPN
ejpam-5409	134	33	0mod	0mod	PROPN
ejpam-5409	134	34	2	2	X
ejpam-5409	134	35	}	}	PUNCT
ejpam-5409	134	36	,	,	PUNCT
ejpam-5409	134	37	c4	c4	NOUN
ejpam-5409	134	38	=	=	SYM
ejpam-5409	134	39	{	{	PUNCT
ejpam-5409	134	40	yi	yi	PROPN
ejpam-5409	134	41	,	,	PUNCT
ejpam-5409	134	42	j	j	PROPN
ejpam-5409	134	43	|i	|i	X
ejpam-5409	134	44	≡	≡	PROPN
ejpam-5409	134	45	2mod	2mod	PROPN
ejpam-5409	134	46	5	5	NUM
ejpam-5409	134	47	,	,	PUNCT
ejpam-5409	134	48	j	j	PROPN
ejpam-5409	134	49	≡	≡	PROPN
ejpam-5409	134	50	1mod	1mod	PROPN
ejpam-5409	134	51	2	2	NUM
ejpam-5409	134	52	;	;	PUNCT
ejpam-5409	134	53	i	i	PRON
ejpam-5409	134	54	≡	≡	PROPN
ejpam-5409	134	55	0mod	0mod	PROPN
ejpam-5409	134	56	5	5	NUM
ejpam-5409	134	57	,	,	PUNCT
ejpam-5409	134	58	j	j	PROPN
ejpam-5409	134	59	≡	≡	PROPN
ejpam-5409	134	60	0mod	0mod	PROPN
ejpam-5409	134	61	2	2	X
ejpam-5409	134	62	}	}	PUNCT
ejpam-5409	134	63	,	,	PUNCT
ejpam-5409	134	64	c5	c5	PROPN
ejpam-5409	134	65	=	=	PROPN
ejpam-5409	134	66	{	{	PUNCT
ejpam-5409	134	67	yi	yi	PROPN
ejpam-5409	134	68	,	,	PUNCT
ejpam-5409	134	69	j	j	PROPN
ejpam-5409	134	70	|i	|i	X
ejpam-5409	134	71	≡	≡	PROPN
ejpam-5409	134	72	3mod	3mod	PROPN
ejpam-5409	134	73	5	5	NUM
ejpam-5409	134	74	,	,	PUNCT
ejpam-5409	134	75	j	j	PROPN
ejpam-5409	134	76	≡	≡	PROPN
ejpam-5409	134	77	1mod	1mod	PROPN
ejpam-5409	134	78	2	2	NUM
ejpam-5409	134	79	;	;	PUNCT
ejpam-5409	134	80	i	i	PROPN
ejpam-5409	134	81	≡	≡	PROPN
ejpam-5409	134	82	1mod	1mod	PROPN
ejpam-5409	134	83	5	5	NUM
ejpam-5409	134	84	,	,	PUNCT
ejpam-5409	134	85	j	j	PROPN
ejpam-5409	134	86	≡	≡	PROPN
ejpam-5409	134	87	0mod	0mod	PROPN
ejpam-5409	134	88	2	2	X
ejpam-5409	134	89	}	}	PUNCT
ejpam-5409	134	90	.	.	PUNCT
ejpam-5409	135	1	based	base	VERB
ejpam-5409	135	2	on	on	ADP
ejpam-5409	135	3	the	the	DET
ejpam-5409	135	4	five	five	NUM
ejpam-5409	135	5	color	color	NOUN
ejpam-5409	135	6	classes	class	NOUN
ejpam-5409	135	7	,	,	PUNCT
ejpam-5409	135	8	we	we	PRON
ejpam-5409	135	9	can	can	AUX
ejpam-5409	135	10	show	show	VERB
ejpam-5409	135	11	that	that	SCONJ
ejpam-5409	135	12	each	each	DET
ejpam-5409	135	13	color	color	NOUN
ejpam-5409	135	14	class	class	NOUN
ejpam-5409	135	15	has	have	VERB
ejpam-5409	135	16	at	at	ADV
ejpam-5409	135	17	least	least	ADV
ejpam-5409	135	18	one	one	NUM
ejpam-5409	135	19	vertex	vertex	NOUN
ejpam-5409	135	20	that	that	PRON
ejpam-5409	135	21	is	be	AUX
ejpam-5409	135	22	adjacent	adjacent	ADJ
ejpam-5409	135	23	to	to	ADP
ejpam-5409	135	24	all	all	DET
ejpam-5409	135	25	other	other	ADJ
ejpam-5409	135	26	color	color	NOUN
ejpam-5409	135	27	classes	class	NOUN
ejpam-5409	135	28	.	.	PUNCT
ejpam-5409	136	1	we	we	PRON
ejpam-5409	136	2	can	can	AUX
ejpam-5409	136	3	show	show	VERB
ejpam-5409	136	4	it	it	PRON
ejpam-5409	136	5	by	by	ADP
ejpam-5409	136	6	depicting	depict	VERB
ejpam-5409	136	7	the	the	DET
ejpam-5409	136	8	methane	methane	NOUN
ejpam-5409	136	9	-	-	PUNCT
ejpam-5409	136	10	like	like	ADJ
ejpam-5409	136	11	structure	structure	NOUN
ejpam-5409	136	12	,	,	PUNCT
ejpam-5409	136	13	see	see	VERB
ejpam-5409	136	14	figure	figure	NOUN
ejpam-5409	136	15	3	3	NUM
ejpam-5409	136	16	.	.	PUNCT
ejpam-5409	137	1	thus	thus	ADV
ejpam-5409	137	2	,	,	PUNCT
ejpam-5409	137	3	it	it	PRON
ejpam-5409	137	4	proves	prove	VERB
ejpam-5409	137	5	that	that	SCONJ
ejpam-5409	137	6	φ(pn	φ(pn	NUM
ejpam-5409	137	7	▷v1	▷v1	NOUN
ejpam-5409	137	8	pm	pm	NOUN
ejpam-5409	137	9	)	)	PUNCT
ejpam-5409	137	10	=	=	SYM
ejpam-5409	137	11	5	5	NUM
ejpam-5409	137	12	for	for	ADP
ejpam-5409	137	13	n	n	PRON
ejpam-5409	137	14	≥	≥	NOUN
ejpam-5409	137	15	5,m	5,m	NUM
ejpam-5409	137	16	≥	≥	NOUN
ejpam-5409	137	17	2	2	NUM
ejpam-5409	137	18	.	.	X
ejpam-5409	137	19	figure	figure	VERB
ejpam-5409	137	20	3	3	NUM
ejpam-5409	137	21	:	:	PUNCT
ejpam-5409	137	22	b	b	X
ejpam-5409	137	23	-	-	PUNCT
ejpam-5409	137	24	chromatic	chromatic	ADJ
ejpam-5409	137	25	number	number	NOUN
ejpam-5409	137	26	of	of	ADP
ejpam-5409	137	27	b−coloring	b−colore	VERB
ejpam-5409	137	28	φ(ln	φ(ln	NOUN
ejpam-5409	137	29	▷v1	▷v1	NOUN
ejpam-5409	137	30	pm	pm	NOUN
ejpam-5409	137	31	)	)	PUNCT
ejpam-5409	137	32	=	=	SYM
ejpam-5409	137	33	5	5	NUM
ejpam-5409	137	34	to	to	PART
ejpam-5409	137	35	have	have	VERB
ejpam-5409	137	36	more	more	ADJ
ejpam-5409	137	37	detail	detail	NOUN
ejpam-5409	137	38	illustration	illustration	NOUN
ejpam-5409	137	39	of	of	ADP
ejpam-5409	137	40	b−coloring	b−colore	VERB
ejpam-5409	137	41	of	of	ADP
ejpam-5409	137	42	ln	ln	ADJ
ejpam-5409	137	43	▷v1	▷v1	PROPN
ejpam-5409	137	44	pm	pm	NOUN
ejpam-5409	137	45	,	,	PUNCT
ejpam-5409	137	46	we	we	PRON
ejpam-5409	137	47	depict	depict	VERB
ejpam-5409	137	48	the	the	DET
ejpam-5409	137	49	picture	picture	NOUN
ejpam-5409	137	50	,	,	PUNCT
ejpam-5409	137	51	see	see	VERB
ejpam-5409	137	52	figure	figure	NOUN
ejpam-5409	137	53	4	4	NUM
ejpam-5409	138	1	.	.	PUNCT
ejpam-5409	138	2	a.	a.	PROPN
ejpam-5409	138	3	i.	i.	PROPN
ejpam-5409	138	4	kristiana	kristiana	PROPN
ejpam-5409	138	5	et	et	PROPN
ejpam-5409	138	6	al	al	PROPN
ejpam-5409	138	7	.	.	PUNCT
ejpam-5409	138	8	/	/	SYM
ejpam-5409	138	9	eur	eur	PROPN
ejpam-5409	138	10	.	.	PUNCT
ejpam-5409	139	1	j.	j.	PROPN
ejpam-5409	139	2	pure	pure	PROPN
ejpam-5409	139	3	appl	appl	PROPN
ejpam-5409	139	4	.	.	PROPN
ejpam-5409	139	5	math	math	PROPN
ejpam-5409	139	6	,	,	PUNCT
ejpam-5409	139	7	17	17	NUM
ejpam-5409	139	8	(	(	PUNCT
ejpam-5409	139	9	4	4	NUM
ejpam-5409	139	10	)	)	PUNCT
ejpam-5409	139	11	(	(	PUNCT
ejpam-5409	139	12	2024	2024	NUM
ejpam-5409	139	13	)	)	PUNCT
ejpam-5409	139	14	,	,	PUNCT
ejpam-5409	139	15	3356	3356	NUM
ejpam-5409	139	16	-	-	SYM
ejpam-5409	139	17	3369	3369	NUM
ejpam-5409	139	18	3362	3362	NUM
ejpam-5409	139	19	figure	figure	NOUN
ejpam-5409	139	20	4	4	NUM
ejpam-5409	139	21	:	:	PUNCT
ejpam-5409	139	22	representation	representation	NOUN
ejpam-5409	139	23	of	of	ADP
ejpam-5409	139	24	each	each	DET
ejpam-5409	139	25	color	color	NOUN
ejpam-5409	139	26	class	class	NOUN
ejpam-5409	139	27	3.2	3.2	NUM
ejpam-5409	139	28	.	.	PUNCT
ejpam-5409	140	1	the	the	DET
ejpam-5409	140	2	application	application	NOUN
ejpam-5409	140	3	of	of	ADP
ejpam-5409	140	4	b−coloring	b−colore	VERB
ejpam-5409	140	5	the	the	DET
ejpam-5409	140	6	next	next	ADJ
ejpam-5409	140	7	research	research	NOUN
ejpam-5409	140	8	result	result	NOUN
ejpam-5409	140	9	is	be	AUX
ejpam-5409	140	10	the	the	DET
ejpam-5409	140	11	implementation	implementation	NOUN
ejpam-5409	140	12	of	of	ADP
ejpam-5409	140	13	b−coloring	b−colore	VERB
ejpam-5409	140	14	on	on	ADP
ejpam-5409	140	15	precision	precision	NOUN
ejpam-5409	140	16	agriculture	agriculture	NOUN
ejpam-5409	140	17	companion	companion	NOUN
ejpam-5409	140	18	farming	farming	NOUN
ejpam-5409	140	19	.	.	PUNCT
ejpam-5409	141	1	in	in	ADP
ejpam-5409	141	2	this	this	DET
ejpam-5409	141	3	research	research	NOUN
ejpam-5409	141	4	,	,	PUNCT
ejpam-5409	141	5	time	time	NOUN
ejpam-5409	141	6	series	series	PROPN
ejpam-5409	141	7	forecasting	forecasting	NOUN
ejpam-5409	141	8	will	will	AUX
ejpam-5409	141	9	be	be	AUX
ejpam-5409	141	10	performed	perform	VERB
ejpam-5409	141	11	on	on	ADP
ejpam-5409	141	12	precision	precision	NOUN
ejpam-5409	141	13	agriculture	agriculture	NOUN
ejpam-5409	141	14	datasets	dataset	NOUN
ejpam-5409	141	15	,	,	PUNCT
ejpam-5409	141	16	namely	namely	ADV
ejpam-5409	141	17	soil	soil	NOUN
ejpam-5409	141	18	moisture	moisture	NOUN
ejpam-5409	141	19	and	and	CCONJ
ejpam-5409	141	20	ph	ph	NOUN
ejpam-5409	141	21	.	.	PUNCT
ejpam-5409	142	1	the	the	DET
ejpam-5409	142	2	datasets	dataset	NOUN
ejpam-5409	142	3	are	be	AUX
ejpam-5409	142	4	obtained	obtain	VERB
ejpam-5409	142	5	from	from	ADP
ejpam-5409	142	6	simulating	simulate	VERB
ejpam-5409	142	7	the	the	DET
ejpam-5409	142	8	placement	placement	NOUN
ejpam-5409	142	9	of	of	ADP
ejpam-5409	142	10	soil	soil	NOUN
ejpam-5409	142	11	moisture	moisture	NOUN
ejpam-5409	142	12	and	and	CCONJ
ejpam-5409	142	13	ph	ph	ADJ
ejpam-5409	142	14	sensors	sensor	NOUN
ejpam-5409	142	15	.	.	PUNCT
ejpam-5409	143	1	the	the	DET
ejpam-5409	143	2	placement	placement	NOUN
ejpam-5409	143	3	of	of	ADP
ejpam-5409	143	4	these	these	DET
ejpam-5409	143	5	sensors	sensor	NOUN
ejpam-5409	143	6	takes	take	VERB
ejpam-5409	143	7	into	into	ADP
ejpam-5409	143	8	account	account	NOUN
ejpam-5409	143	9	the	the	DET
ejpam-5409	143	10	planting	planting	NOUN
ejpam-5409	143	11	topology	topology	NOUN
ejpam-5409	143	12	derived	derive	VERB
ejpam-5409	143	13	from	from	ADP
ejpam-5409	143	14	theorem	theorem	ADJ
ejpam-5409	143	15	1	1	NUM
ejpam-5409	143	16	.	.	PUNCT
ejpam-5409	144	1	the	the	DET
ejpam-5409	144	2	number	number	NOUN
ejpam-5409	144	3	of	of	ADP
ejpam-5409	144	4	plantations	plantation	NOUN
ejpam-5409	144	5	is	be	AUX
ejpam-5409	144	6	respected	respect	VERB
ejpam-5409	144	7	to	to	ADP
ejpam-5409	144	8	the	the	DET
ejpam-5409	144	9	obtained	obtain	VERB
ejpam-5409	144	10	b	b	NOUN
ejpam-5409	144	11	-	-	PUNCT
ejpam-5409	144	12	chromatic	chromatic	ADJ
ejpam-5409	144	13	number	number	NOUN
ejpam-5409	144	14	φ(g	φ(g	PROPN
ejpam-5409	144	15	)	)	PUNCT
ejpam-5409	144	16	.	.	PUNCT
ejpam-5409	145	1	based	base	VERB
ejpam-5409	145	2	on	on	ADP
ejpam-5409	145	3	the	the	DET
ejpam-5409	145	4	pn	pn	PROPN
ejpam-5409	145	5	▷v1	▷v1	PROPN
ejpam-5409	145	6	pm	pm	NOUN
ejpam-5409	145	7	graph	graph	NOUN
ejpam-5409	145	8	we	we	PRON
ejpam-5409	145	9	can	can	AUX
ejpam-5409	145	10	make	make	VERB
ejpam-5409	145	11	into	into	ADP
ejpam-5409	145	12	a	a	DET
ejpam-5409	145	13	planting	planting	NOUN
ejpam-5409	145	14	layout	layout	NOUN
ejpam-5409	145	15	adapted	adapt	VERB
ejpam-5409	145	16	to	to	ADP
ejpam-5409	145	17	the	the	DET
ejpam-5409	145	18	shape	shape	NOUN
ejpam-5409	145	19	of	of	ADP
ejpam-5409	145	20	the	the	DET
ejpam-5409	145	21	land	land	NOUN
ejpam-5409	145	22	.	.	PUNCT
ejpam-5409	146	1	in	in	ADP
ejpam-5409	146	2	each	each	DET
ejpam-5409	146	3	vertex	vertex	NOUN
ejpam-5409	146	4	,	,	PUNCT
ejpam-5409	146	5	the	the	DET
ejpam-5409	146	6	coloring	coloring	NOUN
ejpam-5409	146	7	obtained	obtain	VERB
ejpam-5409	146	8	represents	represent	VERB
ejpam-5409	146	9	a	a	DET
ejpam-5409	146	10	type	type	NOUN
ejpam-5409	146	11	of	of	ADP
ejpam-5409	146	12	plant	plant	NOUN
ejpam-5409	146	13	.	.	PUNCT
ejpam-5409	147	1	since	since	SCONJ
ejpam-5409	147	2	φ(pn▷v1pm	φ(pn▷v1pm	VERB
ejpam-5409	147	3	)	)	PUNCT
ejpam-5409	147	4	=	=	SYM
ejpam-5409	147	5	4	4	NUM
ejpam-5409	147	6	,	,	PUNCT
ejpam-5409	147	7	there	there	PRON
ejpam-5409	147	8	are	be	VERB
ejpam-5409	147	9	four	four	NUM
ejpam-5409	147	10	types	type	NOUN
ejpam-5409	147	11	of	of	ADP
ejpam-5409	147	12	plants	plant	NOUN
ejpam-5409	147	13	studied	study	VERB
ejpam-5409	147	14	.	.	PUNCT
ejpam-5409	148	1	in	in	ADP
ejpam-5409	148	2	this	this	DET
ejpam-5409	148	3	study	study	NOUN
ejpam-5409	148	4	,	,	PUNCT
ejpam-5409	148	5	the	the	DET
ejpam-5409	148	6	color	color	NOUN
ejpam-5409	148	7	1	1	NUM
ejpam-5409	148	8	represents	represent	VERB
ejpam-5409	148	9	cucumbers	cucumber	NOUN
ejpam-5409	148	10	,	,	PUNCT
ejpam-5409	148	11	the	the	DET
ejpam-5409	148	12	color	color	NOUN
ejpam-5409	148	13	2	2	NUM
ejpam-5409	148	14	represents	represent	VERB
ejpam-5409	148	15	carrots	carrot	NOUN
ejpam-5409	148	16	,	,	PUNCT
ejpam-5409	148	17	the	the	DET
ejpam-5409	148	18	color	color	NOUN
ejpam-5409	148	19	3	3	NUM
ejpam-5409	148	20	represents	represent	VERB
ejpam-5409	148	21	tomatoes	tomato	NOUN
ejpam-5409	148	22	,	,	PUNCT
ejpam-5409	148	23	and	and	CCONJ
ejpam-5409	148	24	the	the	DET
ejpam-5409	148	25	color	color	NOUN
ejpam-5409	148	26	4	4	NUM
ejpam-5409	148	27	represents	represent	VERB
ejpam-5409	148	28	eggplants	eggplant	NOUN
ejpam-5409	148	29	.	.	PUNCT
ejpam-5409	149	1	furthermore	furthermore	ADV
ejpam-5409	149	2	,	,	PUNCT
ejpam-5409	149	3	the	the	DET
ejpam-5409	149	4	sensor	sensor	NOUN
ejpam-5409	149	5	is	be	AUX
ejpam-5409	149	6	placed	place	VERB
ejpam-5409	149	7	at	at	ADP
ejpam-5409	149	8	the	the	DET
ejpam-5409	149	9	vertex	vertex	NOUN
ejpam-5409	149	10	of	of	ADP
ejpam-5409	149	11	dominance	dominance	NOUN
ejpam-5409	149	12	on	on	ADP
ejpam-5409	149	13	the	the	DET
ejpam-5409	149	14	planting	planting	NOUN
ejpam-5409	149	15	layout	layout	NOUN
ejpam-5409	149	16	created	create	VERB
ejpam-5409	149	17	.	.	PUNCT
ejpam-5409	150	1	the	the	DET
ejpam-5409	150	2	companion	companion	NOUN
ejpam-5409	150	3	farming	farming	NOUN
ejpam-5409	150	4	layout	layout	NOUN
ejpam-5409	150	5	based	base	VERB
ejpam-5409	150	6	on	on	ADP
ejpam-5409	150	7	b−coloring	b−colore	VERB
ejpam-5409	150	8	theorem	theorem	NOUN
ejpam-5409	150	9	can	can	AUX
ejpam-5409	150	10	be	be	AUX
ejpam-5409	150	11	seen	see	VERB
ejpam-5409	150	12	in	in	ADP
ejpam-5409	150	13	figure	figure	NOUN
ejpam-5409	150	14	5	5	NUM
ejpam-5409	150	15	and	and	CCONJ
ejpam-5409	150	16	figure	figure	VERB
ejpam-5409	150	17	6	6	NUM
ejpam-5409	150	18	.	.	NOUN
ejpam-5409	150	19	3.3	3.3	NUM
ejpam-5409	150	20	.	.	PUNCT
ejpam-5409	151	1	numerical	numerical	ADJ
ejpam-5409	151	2	analysis	analysis	NOUN
ejpam-5409	151	3	hereafter	hereafter	ADV
ejpam-5409	151	4	,	,	PUNCT
ejpam-5409	151	5	we	we	PRON
ejpam-5409	151	6	discuss	discuss	VERB
ejpam-5409	151	7	the	the	DET
ejpam-5409	151	8	research	research	NOUN
ejpam-5409	151	9	results	result	NOUN
ejpam-5409	151	10	and	and	CCONJ
ejpam-5409	151	11	provide	provide	VERB
ejpam-5409	151	12	an	an	DET
ejpam-5409	151	13	overview	overview	NOUN
ejpam-5409	151	14	to	to	PART
ejpam-5409	151	15	perform	perform	VERB
ejpam-5409	151	16	time	time	NOUN
ejpam-5409	151	17	series	series	PROPN
ejpam-5409	151	18	forecasting	forecasting	NOUN
ejpam-5409	151	19	in	in	ADP
ejpam-5409	151	20	companion	companion	NOUN
ejpam-5409	151	21	farming	farming	NOUN
ejpam-5409	151	22	.	.	PUNCT
ejpam-5409	152	1	first	first	ADV
ejpam-5409	152	2	,	,	PUNCT
ejpam-5409	152	3	we	we	PRON
ejpam-5409	152	4	show	show	VERB
ejpam-5409	152	5	analytically	analytically	ADV
ejpam-5409	152	6	how	how	SCONJ
ejpam-5409	152	7	to	to	PART
ejpam-5409	152	8	embed	embed	VERB
ejpam-5409	152	9	node	node	NOUN
ejpam-5409	152	10	features	feature	NOUN
ejpam-5409	152	11	and	and	CCONJ
ejpam-5409	152	12	how	how	SCONJ
ejpam-5409	152	13	b−coloring	b−coloring	NOUN
ejpam-5409	152	14	works	work	VERB
ejpam-5409	152	15	on	on	ADP
ejpam-5409	152	16	graphs	graph	NOUN
ejpam-5409	152	17	.	.	PUNCT
ejpam-5409	153	1	we	we	PRON
ejpam-5409	153	2	use	use	VERB
ejpam-5409	153	3	soil	soil	NOUN
ejpam-5409	153	4	moisture	moisture	NOUN
ejpam-5409	153	5	and	and	CCONJ
ejpam-5409	153	6	ph	ph	ADJ
ejpam-5409	153	7	data	datum	NOUN
ejpam-5409	153	8	to	to	PART
ejpam-5409	153	9	derive	derive	VERB
ejpam-5409	153	10	the	the	DET
ejpam-5409	153	11	stgnn	stgnn	PROPN
ejpam-5409	153	12	model	model	NOUN
ejpam-5409	153	13	.	.	PUNCT
ejpam-5409	154	1	observation	observation	NOUN
ejpam-5409	154	2	1	1	NUM
ejpam-5409	154	3	.	.	PUNCT
ejpam-5409	155	1	given	give	VERB
ejpam-5409	155	2	that	that	SCONJ
ejpam-5409	155	3	there	there	PRON
ejpam-5409	155	4	is	be	VERB
ejpam-5409	155	5	a	a	DET
ejpam-5409	155	6	n	n	CCONJ
ejpam-5409	155	7	-	-	PUNCT
ejpam-5409	155	8	order	order	NOUN
ejpam-5409	155	9	graph	graph	NOUN
ejpam-5409	155	10	g.	g.	PROPN
ejpam-5409	155	11	assume	assume	VERB
ejpam-5409	155	12	that	that	SCONJ
ejpam-5409	155	13	the	the	DET
ejpam-5409	155	14	set	set	NOUN
ejpam-5409	155	15	of	of	ADP
ejpam-5409	155	16	vertex	vertex	NOUN
ejpam-5409	155	17	v	v	NOUN
ejpam-5409	155	18	(	(	PUNCT
ejpam-5409	155	19	g)={v1	g)={v1	PROPN
ejpam-5409	155	20	,	,	PUNCT
ejpam-5409	155	21	v2	v2	PROPN
ejpam-5409	155	22	,	,	PUNCT
ejpam-5409	155	23	...	...	PUNCT
ejpam-5409	155	24	,	,	PUNCT
ejpam-5409	155	25	vn−1	vn−1	PROPN
ejpam-5409	155	26	,	,	PUNCT
ejpam-5409	155	27	vn	vn	NOUN
ejpam-5409	155	28	}	}	PUNCT
ejpam-5409	155	29	and	and	CCONJ
ejpam-5409	155	30	and	and	CCONJ
ejpam-5409	155	31	edge	edge	NOUN
ejpam-5409	155	32	of	of	ADP
ejpam-5409	155	33	vertex	vertex	NOUN
ejpam-5409	155	34	e(g	e(g	PROPN
ejpam-5409	155	35	)	)	PUNCT
ejpam-5409	156	1	=	=	PRON
ejpam-5409	156	2	{	{	PUNCT
ejpam-5409	156	3	vivj	vivj	NOUN
ejpam-5409	156	4	|vi	|vi	NUM
ejpam-5409	156	5	,	,	PUNCT
ejpam-5409	156	6	vj	vj	PROPN
ejpam-5409	156	7	∈	∈	PROPN
ejpam-5409	156	8	v	v	PROPN
ejpam-5409	156	9	(	(	PUNCT
ejpam-5409	156	10	g	g	NOUN
ejpam-5409	156	11	)	)	PUNCT
ejpam-5409	156	12	}	}	PUNCT
ejpam-5409	156	13	,	,	PUNCT
ejpam-5409	156	14	respeca	respeca	NOUN
ejpam-5409	156	15	.	.	PUNCT
ejpam-5409	157	1	i.	i.	PROPN
ejpam-5409	157	2	kristiana	kristiana	PROPN
ejpam-5409	157	3	et	et	PROPN
ejpam-5409	157	4	al	al	PROPN
ejpam-5409	157	5	.	.	PUNCT
ejpam-5409	157	6	/	/	SYM
ejpam-5409	157	7	eur	eur	PROPN
ejpam-5409	157	8	.	.	PUNCT
ejpam-5409	158	1	j.	j.	PROPN
ejpam-5409	158	2	pure	pure	PROPN
ejpam-5409	158	3	appl	appl	PROPN
ejpam-5409	158	4	.	.	PROPN
ejpam-5409	158	5	math	math	PROPN
ejpam-5409	158	6	,	,	PUNCT
ejpam-5409	158	7	17	17	NUM
ejpam-5409	158	8	(	(	PUNCT
ejpam-5409	158	9	4	4	NUM
ejpam-5409	158	10	)	)	PUNCT
ejpam-5409	158	11	(	(	PUNCT
ejpam-5409	158	12	2024	2024	NUM
ejpam-5409	158	13	)	)	PUNCT
ejpam-5409	158	14	,	,	PUNCT
ejpam-5409	158	15	3356	3356	NUM
ejpam-5409	158	16	-	-	SYM
ejpam-5409	158	17	3369	3369	NUM
ejpam-5409	158	18	3363	3363	NUM
ejpam-5409	158	19	table	table	NOUN
ejpam-5409	158	20	1	1	NUM
ejpam-5409	158	21	:	:	PUNCT
ejpam-5409	158	22	the	the	DET
ejpam-5409	158	23	prediction	prediction	NOUN
ejpam-5409	158	24	results	result	NOUN
ejpam-5409	158	25	of	of	ADP
ejpam-5409	158	26	stgnn	stgnn	NOUN
ejpam-5409	158	27	model	model	NOUN
ejpam-5409	158	28	for	for	ADP
ejpam-5409	158	29	dataset-1	dataset-1	PROPN
ejpam-5409	158	30	t	t	PROPN
ejpam-5409	158	31	matric	matric	PROPN
ejpam-5409	158	32	ha	ha	INTJ
ejpam-5409	158	33	arima	arima	PROPN
ejpam-5409	158	34	svr	svr	PROPN
ejpam-5409	158	35	gcn	gcn	PROPN
ejpam-5409	158	36	gru	gru	PROPN
ejpam-5409	158	37	stgnn	stgnn	PROPN
ejpam-5409	158	38	rmse	rmse	PROPN
ejpam-5409	158	39	9.4546	9.4546	NUM
ejpam-5409	158	40	10.6872	10.6872	NUM
ejpam-5409	158	41	9.7862	9.7862	NUM
ejpam-5409	158	42	11.1382	11.1382	NUM
ejpam-5409	158	43	7.5492	7.5492	NUM
ejpam-5409	158	44	6.2187	6.2187	NUM
ejpam-5409	158	45	6	6	NUM
ejpam-5409	158	46	days	day	NOUN
ejpam-5409	158	47	mae	mae	PROPN
ejpam-5409	158	48	8.7113	8.7113	NUM
ejpam-5409	158	49	8.9815	8.9815	NUM
ejpam-5409	158	50	9.4121	9.4121	NUM
ejpam-5409	158	51	10.6702	10.6702	NUM
ejpam-5409	158	52	7.6615	7.6615	NUM
ejpam-5409	158	53	6.4357	6.4357	NUM
ejpam-5409	158	54	accuracy	accuracy	NOUN
ejpam-5409	158	55	5.5673	5.5673	NUM
ejpam-5409	158	56	6.7890	6.7890	NUM
ejpam-5409	158	57	9.3423	9.3423	NUM
ejpam-5409	158	58	8.2732	8.2732	NUM
ejpam-5409	158	59	8.4351	8.4351	NUM
ejpam-5409	158	60	10.1431	10.1431	NUM
ejpam-5409	158	61	r2	r2	PROPN
ejpam-5409	158	62	4.28512	4.28512	NUM
ejpam-5409	158	63	4.3482	4.3482	NUM
ejpam-5409	158	64	7.9563	7.9563	NUM
ejpam-5409	158	65	8.0321	8.0321	NUM
ejpam-5409	158	66	8.4321	8.4321	NUM
ejpam-5409	158	67	9.1452	9.1452	NUM
ejpam-5409	158	68	rmse	rmse	NOUN
ejpam-5409	158	69	8.5702	8.5702	NUM
ejpam-5409	158	70	8.6054	8.6054	NUM
ejpam-5409	158	71	8.9434	8.9434	NUM
ejpam-5409	158	72	10.1524	10.1524	NUM
ejpam-5409	159	1	7.1243	7.1243	NUM
ejpam-5409	159	2	6.4368	6.4368	NUM
ejpam-5409	159	3	12	12	NUM
ejpam-5409	159	4	days	day	NOUN
ejpam-5409	159	5	mae	mae	PROPN
ejpam-5409	159	6	8.3872	8.3872	NUM
ejpam-5409	159	7	8.7682	8.7682	NUM
ejpam-5409	159	8	8.4326	8.4326	NUM
ejpam-5409	159	9	9.8170	9.8170	NUM
ejpam-5409	159	10	5.6710	5.6710	NUM
ejpam-5409	159	11	4.7166	4.7166	NUM
ejpam-5409	159	12	accuracy	accuracy	NOUN
ejpam-5409	159	13	4.2830	4.2830	NUM
ejpam-5409	159	14	4.8920	4.8920	NUM
ejpam-5409	159	15	8.2192	8.2192	NUM
ejpam-5409	159	16	8.5742	8.5742	NUM
ejpam-5409	159	17	8.7246	8.7246	NUM
ejpam-5409	159	18	9.1527	9.1527	NUM
ejpam-5409	159	19	r2	r2	NOUN
ejpam-5409	159	20	3.7581	3.7581	NUM
ejpam-5409	159	21	4.1268	4.1268	NUM
ejpam-5409	159	22	7.3734	7.3734	NUM
ejpam-5409	159	23	8.1289	8.1289	NUM
ejpam-5409	159	24	8.4430	8.4430	NUM
ejpam-5409	159	25	9.2721	9.2721	NUM
ejpam-5409	159	26	rmse	rmse	NOUN
ejpam-5409	159	27	8.2301	8.2301	NUM
ejpam-5409	159	28	8.3436	8.3436	NUM
ejpam-5409	159	29	8.5293	8.5293	NUM
ejpam-5409	159	30	9.8425	9.8425	NUM
ejpam-5409	159	31	6.2882	6.2882	NUM
ejpam-5409	159	32	5.4397	5.4397	NUM
ejpam-5409	159	33	18	18	NUM
ejpam-5409	159	34	days	day	NOUN
ejpam-5409	159	35	mae	mae	PROPN
ejpam-5409	159	36	8.3487	8.3487	NUM
ejpam-5409	159	37	8.4018	8.4018	NUM
ejpam-5409	159	38	7.7845	7.7845	NUM
ejpam-5409	159	39	9.4696	9.4696	NUM
ejpam-5409	159	40	4.4520	4.4520	NUM
ejpam-5409	159	41	4.1625	4.1625	NUM
ejpam-5409	159	42	accuracy	accuracy	NOUN
ejpam-5409	159	43	4.7557	4.7557	NUM
ejpam-5409	159	44	4.8361	4.8361	NUM
ejpam-5409	159	45	8.1395	8.1395	NUM
ejpam-5409	159	46	8.5729	8.5729	NUM
ejpam-5409	159	47	8.8314	8.8314	NUM
ejpam-5409	159	48	9.0765	9.0765	NUM
ejpam-5409	159	49	r2	r2	NOUN
ejpam-5409	159	50	3.3912	3.3912	NUM
ejpam-5409	159	51	3.8852	3.8852	NUM
ejpam-5409	159	52	8.3254	8.3254	NUM
ejpam-5409	159	53	8.8772	8.8772	NUM
ejpam-5409	159	54	8.7431	8.7431	NUM
ejpam-5409	159	55	9.0293	9.0293	NUM
ejpam-5409	159	56	rmse	rmse	NOUN
ejpam-5409	159	57	8.2568	8.2568	NUM
ejpam-5409	159	58	8.2578	8.2578	NUM
ejpam-5409	159	59	8.2456	8.2456	NUM
ejpam-5409	159	60	9.5742	9.5742	NUM
ejpam-5409	159	61	4.5890	4.5890	NUM
ejpam-5409	159	62	4.5174	4.5174	NUM
ejpam-5409	159	63	24	24	NUM
ejpam-5409	159	64	days	day	NOUN
ejpam-5409	159	65	mae	mae	PROPN
ejpam-5409	159	66	8.1863	8.1863	NUM
ejpam-5409	159	67	8.2146	8.2146	NUM
ejpam-5409	159	68	7.6781	7.6781	NUM
ejpam-5409	159	69	7.5682	7.5682	NUM
ejpam-5409	159	70	4.1379	4.1379	NUM
ejpam-5409	159	71	4.0764	4.0764	NUM
ejpam-5409	159	72	accuracy	accuracy	NOUN
ejpam-5409	160	1	4.1732	4.1732	NUM
ejpam-5409	160	2	4.5185	4.5185	NUM
ejpam-5409	160	3	8.8563	8.8563	NUM
ejpam-5409	160	4	8.9567	8.9567	NUM
ejpam-5409	160	5	9.0137	9.0137	NUM
ejpam-5409	160	6	9.2738	9.2738	NUM
ejpam-5409	160	7	r2	r2	NOUN
ejpam-5409	160	8	3.2754	3.2754	NUM
ejpam-5409	160	9	3.8571	3.8571	NUM
ejpam-5409	160	10	8.3264	8.3264	NUM
ejpam-5409	160	11	9.0753	9.0753	NUM
ejpam-5409	160	12	8.1432	8.1432	NUM
ejpam-5409	160	13	9.1432	9.1432	NUM
ejpam-5409	160	14	tively	tively	ADV
ejpam-5409	160	15	.	.	PUNCT
ejpam-5409	161	1	considering	consider	VERB
ejpam-5409	161	2	that	that	SCONJ
ejpam-5409	161	3	vertex	vertex	NOUN
ejpam-5409	161	4	features	feature	NOUN
ejpam-5409	161	5	as	as	SCONJ
ejpam-5409	161	6	follows	follow	VERB
ejpam-5409	161	7	.	.	PUNCT
ejpam-5409	162	1	hvi	hvi	NOUN
ejpam-5409	162	2	=	=	SYM
ejpam-5409	162	3			PROPN
ejpam-5409	162	4	s1,1	s1,1	PROPN
ejpam-5409	162	5	s1,2	s1,2	PROPN
ejpam-5409	162	6	·	·	PUNCT
ejpam-5409	162	7	·	·	PUNCT
ejpam-5409	162	8	·	·	PUNCT
ejpam-5409	163	1	s1,m	s1,m	PROPN
ejpam-5409	163	2	s2,1	s2,1	PROPN
ejpam-5409	163	3	s2,2	s2,2	PROPN
ejpam-5409	163	4	·	·	PUNCT
ejpam-5409	163	5	·	·	PUNCT
ejpam-5409	163	6	·	·	PUNCT
ejpam-5409	163	7	s2,m	s2,m	PROPN
ejpam-5409	163	8	...	...	PUNCT
ejpam-5409	163	9	...	...	PUNCT
ejpam-5409	163	10	.	.	PUNCT
ejpam-5409	163	11	.	.	PUNCT
ejpam-5409	163	12	.	.	PUNCT
ejpam-5409	163	13	...	...	PUNCT
ejpam-5409	164	1	sn,1	sn,1	NOUN
ejpam-5409	164	2	sn,2	sn,2	NUM
ejpam-5409	164	3	·	·	PUNCT
ejpam-5409	164	4	·	·	PUNCT
ejpam-5409	164	5	·	·	PUNCT
ejpam-5409	164	6	sn	sn	INTJ
ejpam-5409	164	7	,	,	PUNCT
ejpam-5409	164	8	m	m	VERB
ejpam-5409	164	9			ADJ
ejpam-5409	164	10	vertex	vertex	NOUN
ejpam-5409	164	11	v	v	ADP
ejpam-5409	164	12	’s	’s	PART
ejpam-5409	164	13	neighbors	neighbor	NOUN
ejpam-5409	164	14	hl+1	hl+1	PROPN
ejpam-5409	164	15	v	v	NOUN
ejpam-5409	164	16	=	=	NOUN
ejpam-5409	164	17	agg{ml+1	agg{ml+1	NOUN
ejpam-5409	164	18	u	u	NOUN
ejpam-5409	164	19	,	,	PUNCT
ejpam-5409	164	20	u	u	PROPN
ejpam-5409	164	21	∈	∈	PROPN
ejpam-5409	164	22	n(v	n(v	PROPN
ejpam-5409	164	23	)	)	PUNCT
ejpam-5409	164	24	}	}	PUNCT
ejpam-5409	164	25	can	can	AUX
ejpam-5409	164	26	be	be	AUX
ejpam-5409	164	27	used	use	VERB
ejpam-5409	164	28	to	to	PART
ejpam-5409	164	29	calculate	calculate	VERB
ejpam-5409	164	30	the	the	DET
ejpam-5409	164	31	vertex	vertex	NOUN
ejpam-5409	164	32	embedding	embed	VERB
ejpam-5409	164	33	under	under	ADP
ejpam-5409	164	34	the	the	DET
ejpam-5409	164	35	aggregation	aggregation	NOUN
ejpam-5409	164	36	sum	sum	NOUN
ejpam-5409	164	37	(	(	PUNCT
ejpam-5409	164	38	.	.	PUNCT
ejpam-5409	164	39	)	)	PUNCT
ejpam-5409	164	40	,	,	PUNCT
ejpam-5409	164	41	where	where	SCONJ
ejpam-5409	164	42	l	l	NOUN
ejpam-5409	164	43	=	=	SYM
ejpam-5409	164	44	0	0	NUM
ejpam-5409	164	45	,	,	PUNCT
ejpam-5409	164	46	1	1	NUM
ejpam-5409	164	47	,	,	PUNCT
ejpam-5409	164	48	2	2	NUM
ejpam-5409	164	49	,	,	PUNCT
ejpam-5409	164	50	3	3	NUM
ejpam-5409	164	51	,	,	PUNCT
ejpam-5409	164	52	...	...	PUNCT
ejpam-5409	164	53	,	,	PUNCT
ejpam-5409	164	54	k.	k.	PROPN
ejpam-5409	164	55	hl+1	hl+1	PROPN
ejpam-5409	165	1	v	v	X
ejpam-5409	165	2	=	=	PUNCT
ejpam-5409	165	3	sum{ml+1	sum{ml+1	NOUN
ejpam-5409	165	4	u	u	NOUN
ejpam-5409	165	5	,	,	PUNCT
ejpam-5409	165	6	u	u	PROPN
ejpam-5409	165	7	∈	∈	PROPN
ejpam-5409	165	8	n(v	n(v	PROPN
ejpam-5409	165	9	)	)	PUNCT
ejpam-5409	165	10	}	}	PUNCT
ejpam-5409	165	11	,	,	PUNCT
ejpam-5409	165	12	therefore	therefore	ADV
ejpam-5409	165	13	,	,	PUNCT
ejpam-5409	165	14	with	with	ADP
ejpam-5409	165	15	regard	regard	NOUN
ejpam-5409	165	16	to	to	ADP
ejpam-5409	165	17	the	the	DET
ejpam-5409	165	18	matrix	matrix	NOUN
ejpam-5409	165	19	b	b	NOUN
ejpam-5409	165	20	=	=	PUNCT
ejpam-5409	165	21	a	a	DET
ejpam-5409	165	22	+	+	NUM
ejpam-5409	165	23	1	1	NUM
ejpam-5409	165	24	,	,	PUNCT
ejpam-5409	165	25	where	where	SCONJ
ejpam-5409	165	26	a	a	X
ejpam-5409	165	27	,	,	PUNCT
ejpam-5409	165	28	i	i	PRON
ejpam-5409	165	29	denote	denote	VERB
ejpam-5409	165	30	the	the	DET
ejpam-5409	165	31	adjacency	adjacency	NOUN
ejpam-5409	165	32	matrix	matrix	NOUN
ejpam-5409	165	33	and	and	CCONJ
ejpam-5409	165	34	the	the	DET
ejpam-5409	165	35	identity	identity	NOUN
ejpam-5409	165	36	matrix	matrix	NOUN
ejpam-5409	165	37	,	,	PUNCT
ejpam-5409	165	38	respectively	respectively	ADV
ejpam-5409	165	39	.	.	PUNCT
ejpam-5409	166	1	proof	proof	NOUN
ejpam-5409	166	2	.	.	PUNCT
ejpam-5409	167	1	we	we	PRON
ejpam-5409	167	2	can	can	AUX
ejpam-5409	167	3	find	find	VERB
ejpam-5409	167	4	the	the	DET
ejpam-5409	167	5	matrix	matrix	NOUN
ejpam-5409	167	6	adjacency	adjacency	NOUN
ejpam-5409	167	7	a	a	X
ejpam-5409	167	8	by	by	ADP
ejpam-5409	167	9	graph	graph	NOUN
ejpam-5409	167	10	g.	g.	NOUN
ejpam-5409	167	11	given	give	VERB
ejpam-5409	167	12	that	that	SCONJ
ejpam-5409	167	13	each	each	DET
ejpam-5409	167	14	vertex	vertex	NOUN
ejpam-5409	167	15	in	in	ADP
ejpam-5409	167	16	g	g	PROPN
ejpam-5409	167	17	needs	need	VERB
ejpam-5409	167	18	to	to	PART
ejpam-5409	167	19	consider	consider	VERB
ejpam-5409	167	20	the	the	DET
ejpam-5409	167	21	self	self	NOUN
ejpam-5409	167	22	adjacency	adjacency	NOUN
ejpam-5409	167	23	,	,	PUNCT
ejpam-5409	167	24	we	we	PRON
ejpam-5409	167	25	must	must	AUX
ejpam-5409	167	26	add	add	VERB
ejpam-5409	167	27	a	a	PRON
ejpam-5409	167	28	by	by	ADP
ejpam-5409	167	29	the	the	DET
ejpam-5409	167	30	identity	identity	NOUN
ejpam-5409	167	31	matrix	matrix	NOUN
ejpam-5409	167	32	i	i	PRON
ejpam-5409	167	33	in	in	ADP
ejpam-5409	167	34	order	order	NOUN
ejpam-5409	167	35	to	to	PART
ejpam-5409	167	36	get	get	VERB
ejpam-5409	167	37	matrix	matrix	NOUN
ejpam-5409	167	38	b	b	NOUN
ejpam-5409	167	39	as	as	ADP
ejpam-5409	167	40	follow	follow	VERB
ejpam-5409	167	41	.	.	PUNCT
ejpam-5409	168	1	b	b	X
ejpam-5409	168	2	=	=	PRON
ejpam-5409	168	3	a+	a+	PUNCT
ejpam-5409	168	4	i	i	NOUN
ejpam-5409	168	5	=	=	SYM
ejpam-5409	168	6			PROPN
ejpam-5409	168	7	b1,1	b1,1	PROPN
ejpam-5409	168	8	b1,2	b1,2	PROPN
ejpam-5409	168	9	·	·	PUNCT
ejpam-5409	168	10	·	·	PUNCT
ejpam-5409	168	11	·	·	PUNCT
ejpam-5409	169	1	b1,n	b1,n	PROPN
ejpam-5409	169	2	b2,1	b2,1	PROPN
ejpam-5409	169	3	b2,2	b2,2	PROPN
ejpam-5409	169	4	·	·	PUNCT
ejpam-5409	169	5	·	·	PUNCT
ejpam-5409	169	6	·	·	PUNCT
ejpam-5409	170	1	b2,n	b2,n	PROPN
ejpam-5409	170	2	...	...	PUNCT
ejpam-5409	170	3	...	...	PUNCT
ejpam-5409	170	4	.	.	PUNCT
ejpam-5409	170	5	.	.	PUNCT
ejpam-5409	170	6	.	.	PUNCT
ejpam-5409	171	1	...	...	PUNCT
ejpam-5409	172	1	bn,1	bn,1	PROPN
ejpam-5409	172	2	bn,2	bn,2	VERB
ejpam-5409	172	3	·	·	PUNCT
ejpam-5409	172	4	·	·	PUNCT
ejpam-5409	172	5	·	·	PUNCT
ejpam-5409	173	1	bn	bn	X
ejpam-5409	173	2	,	,	PUNCT
ejpam-5409	173	3	n	n	PRON
ejpam-5409	173	4			VERB
ejpam-5409	173	5	the	the	DET
ejpam-5409	173	6	single	single	ADJ
ejpam-5409	173	7	layer	layer	NOUN
ejpam-5409	173	8	stgnn	stgnn	NOUN
ejpam-5409	173	9	technique	technique	NOUN
ejpam-5409	173	10	requires	require	VERB
ejpam-5409	173	11	that	that	SCONJ
ejpam-5409	173	12	the	the	DET
ejpam-5409	173	13	learning	learn	VERB
ejpam-5409	173	14	weight	weight	NOUN
ejpam-5409	173	15	matrix	matrix	NOUN
ejpam-5409	173	16	be	be	AUX
ejpam-5409	173	17	initiala	initiala	NOUN
ejpam-5409	173	18	.	.	PUNCT
ejpam-5409	174	1	i.	i.	PROPN
ejpam-5409	174	2	kristiana	kristiana	PROPN
ejpam-5409	174	3	et	et	PROPN
ejpam-5409	174	4	al	al	PROPN
ejpam-5409	174	5	.	.	PUNCT
ejpam-5409	174	6	/	/	SYM
ejpam-5409	174	7	eur	eur	PROPN
ejpam-5409	174	8	.	.	PUNCT
ejpam-5409	175	1	j.	j.	PROPN
ejpam-5409	175	2	pure	pure	PROPN
ejpam-5409	175	3	appl	appl	PROPN
ejpam-5409	175	4	.	.	PROPN
ejpam-5409	175	5	math	math	PROPN
ejpam-5409	175	6	,	,	PUNCT
ejpam-5409	175	7	17	17	NUM
ejpam-5409	175	8	(	(	PUNCT
ejpam-5409	175	9	4	4	NUM
ejpam-5409	175	10	)	)	PUNCT
ejpam-5409	175	11	(	(	PUNCT
ejpam-5409	175	12	2024	2024	NUM
ejpam-5409	175	13	)	)	PUNCT
ejpam-5409	175	14	,	,	PUNCT
ejpam-5409	175	15	3356	3356	NUM
ejpam-5409	175	16	-	-	SYM
ejpam-5409	175	17	3369	3369	NUM
ejpam-5409	175	18	3364	3364	NUM
ejpam-5409	175	19	table	table	NOUN
ejpam-5409	175	20	2	2	NUM
ejpam-5409	175	21	:	:	PUNCT
ejpam-5409	175	22	the	the	DET
ejpam-5409	175	23	prediction	prediction	NOUN
ejpam-5409	175	24	results	result	NOUN
ejpam-5409	175	25	of	of	ADP
ejpam-5409	175	26	stgnn	stgnn	NOUN
ejpam-5409	175	27	model	model	NOUN
ejpam-5409	175	28	for	for	ADP
ejpam-5409	175	29	dataset-2	dataset-2	PROPN
ejpam-5409	175	30	t	t	NOUN
ejpam-5409	175	31	matric	matric	NOUN
ejpam-5409	175	32	ha	ha	INTJ
ejpam-5409	175	33	arima	arima	PROPN
ejpam-5409	175	34	svr	svr	PROPN
ejpam-5409	175	35	gcn	gcn	PROPN
ejpam-5409	175	36	gru	gru	PROPN
ejpam-5409	175	37	stgnn	stgnn	PROPN
ejpam-5409	175	38	rmse	rmse	PROPN
ejpam-5409	175	39	10.7632	10.7632	NUM
ejpam-5409	175	40	12.6281	12.6281	NUM
ejpam-5409	175	41	10.8932	10.8932	NUM
ejpam-5409	175	42	12.2971	12.2971	NUM
ejpam-5409	175	43	13.8912	13.8912	NUM
ejpam-5409	176	1	9.1378	9.1378	NUM
ejpam-5409	176	2	6	6	NUM
ejpam-5409	176	3	days	day	NOUN
ejpam-5409	176	4	mae	mae	PROPN
ejpam-5409	176	5	10.4632	10.4632	NUM
ejpam-5409	176	6	11.8714	11.8714	NUM
ejpam-5409	176	7	10.1252	10.1252	NUM
ejpam-5409	176	8	11.5318	11.5318	NUM
ejpam-5409	176	9	11.6219	11.6219	NUM
ejpam-5409	176	10	9.0374	9.0374	NUM
ejpam-5409	176	11	accuracy	accuracy	NOUN
ejpam-5409	176	12	8.4778	8.4778	NUM
ejpam-5409	176	13	9.6425	9.6425	NUM
ejpam-5409	176	14	9.8687	9.8687	NUM
ejpam-5409	176	15	10.3562	10.3562	NUM
ejpam-5409	176	16	8.6315	8.6315	NUM
ejpam-5409	176	17	10.6574	10.6574	NUM
ejpam-5409	176	18	r2	r2	NOUN
ejpam-5409	176	19	7.0246	7.0246	NUM
ejpam-5409	176	20	7.3526	7.3526	NUM
ejpam-5409	176	21	9.3829	9.3829	NUM
ejpam-5409	176	22	8.4912	8.4912	NUM
ejpam-5409	176	23	7.0541	7.0541	NUM
ejpam-5409	176	24	10.8831	10.8831	NUM
ejpam-5409	176	25	rmse	rmse	NOUN
ejpam-5409	176	26	10.4516	10.4516	NUM
ejpam-5409	176	27	11.4354	11.4354	NUM
ejpam-5409	176	28	9.8931	9.8931	NUM
ejpam-5409	176	29	11.4871	11.4871	NUM
ejpam-5409	176	30	11.2673	11.2673	NUM
ejpam-5409	176	31	8.8576	8.8576	NUM
ejpam-5409	176	32	12	12	NUM
ejpam-5409	176	33	days	day	NOUN
ejpam-5409	176	34	mae	mae	PROPN
ejpam-5409	176	35	9.7320	9.7320	NUM
ejpam-5409	176	36	11.9034	11.9034	NUM
ejpam-5409	176	37	9.4965	9.4965	NUM
ejpam-5409	176	38	11.2765	11.2765	NUM
ejpam-5409	176	39	10.6490	10.6490	NUM
ejpam-5409	176	40	8.6970	8.6970	NUM
ejpam-5409	176	41	accuracy	accuracy	NOUN
ejpam-5409	176	42	8.1754	8.1754	NUM
ejpam-5409	176	43	9.3292	9.3292	NUM
ejpam-5409	176	44	9.8286	9.8286	NUM
ejpam-5409	176	45	9.7605	9.7605	NUM
ejpam-5409	176	46	9.0794	9.0794	NUM
ejpam-5409	176	47	9.9521	9.9521	NUM
ejpam-5409	176	48	r2	r2	NOUN
ejpam-5409	176	49	8.1642	8.1642	NUM
ejpam-5409	176	50	7.3759	7.3759	NUM
ejpam-5409	176	51	9.8342	9.8342	NUM
ejpam-5409	176	52	8.7524	8.7524	NUM
ejpam-5409	176	53	9.0836	9.0836	NUM
ejpam-5409	176	54	9.9536	9.9536	NUM
ejpam-5409	176	55	rmse	rmse	NOUN
ejpam-5409	176	56	9.1765	9.1765	NUM
ejpam-5409	176	57	11.5443	11.5443	NUM
ejpam-5409	176	58	9.4870	9.4870	NUM
ejpam-5409	176	59	10.8290	10.8290	NUM
ejpam-5409	176	60	10.1230	10.1230	NUM
ejpam-5409	176	61	8.9860	8.9860	NUM
ejpam-5409	176	62	18	18	NUM
ejpam-5409	176	63	days	day	NOUN
ejpam-5409	176	64	mae	mae	PROPN
ejpam-5409	176	65	8.7662	8.7662	NUM
ejpam-5409	176	66	10.2872	10.2872	NUM
ejpam-5409	176	67	8.8267	8.8267	NUM
ejpam-5409	176	68	10.6390	10.6390	NUM
ejpam-5409	176	69	8.5503	8.5503	NUM
ejpam-5409	176	70	8.0346	8.0346	NUM
ejpam-5409	176	71	accuracy	accuracy	NOUN
ejpam-5409	176	72	8.2280	8.2280	NUM
ejpam-5409	176	73	9.4782	9.4782	NUM
ejpam-5409	176	74	9.1678	9.1678	NUM
ejpam-5409	176	75	9.0894	9.0894	NUM
ejpam-5409	176	76	7.1190	7.1190	NUM
ejpam-5409	176	77	9.8570	9.8570	NUM
ejpam-5409	176	78	r2	r2	NOUN
ejpam-5409	176	79	7.4581	7.4581	NUM
ejpam-5409	176	80	7.3467	7.3467	NUM
ejpam-5409	176	81	9.0340	9.0340	NUM
ejpam-5409	176	82	8.4890	8.4890	NUM
ejpam-5409	176	83	7.3095	7.3095	NUM
ejpam-5409	176	84	9.3271	9.3271	NUM
ejpam-5409	176	85	rmse	rmse	NOUN
ejpam-5409	176	86	8.3604	8.3604	NUM
ejpam-5409	176	87	10.5849	10.5849	NUM
ejpam-5409	176	88	9.3235	9.3235	NUM
ejpam-5409	176	89	10.7590	10.7590	NUM
ejpam-5409	176	90	9.7208	9.7208	NUM
ejpam-5409	176	91	8.2987	8.2987	NUM
ejpam-5409	176	92	24	24	NUM
ejpam-5409	176	93	days	day	NOUN
ejpam-5409	176	94	mae	mae	PROPN
ejpam-5409	176	95	8.0045	8.0045	NUM
ejpam-5409	176	96	10.2348	10.2348	NUM
ejpam-5409	176	97	8.6903	8.6903	NUM
ejpam-5409	176	98	10.6537	10.6537	NUM
ejpam-5409	176	99	8.2782	8.2782	NUM
ejpam-5409	176	100	7.5048	7.5048	NUM
ejpam-5409	176	101	accuracy	accuracy	NOUN
ejpam-5409	176	102	8.1372	8.1372	NUM
ejpam-5409	176	103	9.4573	9.4573	NUM
ejpam-5409	176	104	9.2675	9.2675	NUM
ejpam-5409	176	105	9.8362	9.8362	NUM
ejpam-5409	176	106	7.7832	7.7832	NUM
ejpam-5409	176	107	9.8653	9.8653	NUM
ejpam-5409	176	108	r2	r2	NOUN
ejpam-5409	176	109	7.2670	7.2670	NUM
ejpam-5409	176	110	7.4563	7.4563	NUM
ejpam-5409	176	111	9.1703	9.1703	NUM
ejpam-5409	176	112	8.2467	8.2467	NUM
ejpam-5409	176	113	7.4561	7.4561	NUM
ejpam-5409	176	114	9.5672	9.5672	NUM
ejpam-5409	176	115	ized	ize	VERB
ejpam-5409	176	116	in	in	ADP
ejpam-5409	176	117	the	the	DET
ejpam-5409	176	118	way	way	NOUN
ejpam-5409	176	119	that	that	PRON
ejpam-5409	176	120	is	be	AUX
ejpam-5409	176	121	described	describe	VERB
ejpam-5409	176	122	below	below	ADP
ejpam-5409	176	123	.	.	PUNCT
ejpam-5409	177	1	w	w	NOUN
ejpam-5409	177	2	=	=	PUNCT
ejpam-5409	177	3			PROPN
ejpam-5409	178	1	w1,1	w1,1	PROPN
ejpam-5409	178	2	w1,2	w1,2	PROPN
ejpam-5409	178	3	·	·	PUNCT
ejpam-5409	178	4	·	·	PUNCT
ejpam-5409	178	5	·	·	PUNCT
ejpam-5409	179	1	w1,m	w1,m	PROPN
ejpam-5409	179	2	w2,1	w2,1	PROPN
ejpam-5409	179	3	w2,2	w2,2	PROPN
ejpam-5409	179	4	·	·	PUNCT
ejpam-5409	179	5	·	·	PUNCT
ejpam-5409	179	6	·	·	PUNCT
ejpam-5409	179	7	w2,m	w2,m	PROPN
ejpam-5409	179	8	...	...	PUNCT
ejpam-5409	179	9	...	...	PUNCT
ejpam-5409	179	10	.	.	PUNCT
ejpam-5409	179	11	.	.	PUNCT
ejpam-5409	179	12	.	.	PUNCT
ejpam-5409	180	1	...	...	PUNCT
ejpam-5409	181	1	wm,1	wm,1	PROPN
ejpam-5409	181	2	wm,2	wm,2	PROPN
ejpam-5409	181	3	·	·	PUNCT
ejpam-5409	181	4	·	·	PUNCT
ejpam-5409	181	5	·	·	PUNCT
ejpam-5409	182	1	wm	wm	X
ejpam-5409	182	2	,	,	PUNCT
ejpam-5409	182	3	m	m	AUX
ejpam-5409	182	4			VERB
ejpam-5409	182	5	the	the	DET
ejpam-5409	182	6	value	value	NOUN
ejpam-5409	182	7	of	of	ADP
ejpam-5409	182	8	mvi	mvi	PROPN
ejpam-5409	182	9	will	will	AUX
ejpam-5409	182	10	be	be	AUX
ejpam-5409	182	11	determined	determine	VERB
ejpam-5409	182	12	using	use	VERB
ejpam-5409	182	13	this	this	DET
ejpam-5409	182	14	weight	weight	NOUN
ejpam-5409	182	15	,	,	PUNCT
ejpam-5409	182	16	and	and	CCONJ
ejpam-5409	182	17	the	the	DET
ejpam-5409	182	18	new	new	ADJ
ejpam-5409	182	19	weight	weight	NOUN
ejpam-5409	182	20	will	will	AUX
ejpam-5409	182	21	be	be	AUX
ejpam-5409	182	22	updated	update	VERB
ejpam-5409	182	23	in	in	ADP
ejpam-5409	182	24	the	the	DET
ejpam-5409	182	25	following	follow	VERB
ejpam-5409	182	26	iteration	iteration	NOUN
ejpam-5409	182	27	.	.	PUNCT
ejpam-5409	183	1	there	there	PRON
ejpam-5409	183	2	are	be	VERB
ejpam-5409	183	3	two	two	NUM
ejpam-5409	183	4	phases	phase	NOUN
ejpam-5409	183	5	to	to	ADP
ejpam-5409	183	6	the	the	DET
ejpam-5409	183	7	stgnn	stgnn	NOUN
ejpam-5409	183	8	vertex	vertex	NOUN
ejpam-5409	183	9	embedding	embed	VERB
ejpam-5409	183	10	process	process	NOUN
ejpam-5409	183	11	:	:	PUNCT
ejpam-5409	183	12	message	message	NOUN
ejpam-5409	183	13	passing	passing	NOUN
ejpam-5409	183	14	and	and	CCONJ
ejpam-5409	183	15	aggregation	aggregation	NOUN
ejpam-5409	183	16	.	.	PUNCT
ejpam-5409	184	1	first	first	ADV
ejpam-5409	184	2	,	,	PUNCT
ejpam-5409	184	3	we	we	PRON
ejpam-5409	184	4	perform	perform	VERB
ejpam-5409	184	5	massage	massage	NOUN
ejpam-5409	184	6	passing	pass	VERB
ejpam-5409	184	7	mu	mu	NOUN
ejpam-5409	184	8	=	=	PUNCT
ejpam-5409	184	9	msg(hu	msg(hu	NOUN
ejpam-5409	184	10	)	)	PUNCT
ejpam-5409	184	11	.	.	PUNCT
ejpam-5409	185	1	for	for	ADP
ejpam-5409	185	2	linear	linear	ADJ
ejpam-5409	185	3	layer	layer	NOUN
ejpam-5409	185	4	we	we	PRON
ejpam-5409	185	5	have	have	VERB
ejpam-5409	185	6	ml+1	ml+1	PROPN
ejpam-5409	185	7	u	u	NOUN
ejpam-5409	185	8	=	=	PROPN
ejpam-5409	185	9	w	w	PROPN
ejpam-5409	185	10	l.hlu	l.hlu	NOUN
ejpam-5409	185	11	,	,	PUNCT
ejpam-5409	185	12	where	where	SCONJ
ejpam-5409	185	13	l	l	NOUN
ejpam-5409	185	14	=	=	SYM
ejpam-5409	185	15	0	0	NUM
ejpam-5409	185	16	,	,	PUNCT
ejpam-5409	185	17	1	1	NUM
ejpam-5409	185	18	,	,	PUNCT
ejpam-5409	185	19	2	2	NUM
ejpam-5409	185	20	,	,	PUNCT
ejpam-5409	185	21	...	...	PUNCT
ejpam-5409	186	1	k.	k.	PROPN
ejpam-5409	187	1	the	the	DET
ejpam-5409	187	2	calculation	calculation	NOUN
ejpam-5409	187	3	can	can	AUX
ejpam-5409	187	4	be	be	AUX
ejpam-5409	187	5	started	start	VERB
ejpam-5409	187	6	in	in	ADP
ejpam-5409	187	7	an	an	DET
ejpam-5409	187	8	iterative	iterative	NOUN
ejpam-5409	187	9	manner	manner	NOUN
ejpam-5409	187	10	as	as	SCONJ
ejpam-5409	187	11	follows	follow	VERB
ejpam-5409	187	12	.	.	PUNCT
ejpam-5409	188	1	m1	m1	PROPN
ejpam-5409	188	2	vi	vi	PROPN
ejpam-5409	188	3	=	=	PROPN
ejpam-5409	188	4	h0	h0	NOUN
ejpam-5409	188	5	vi	vi	PROPN
ejpam-5409	188	6	·	·	PUNCT
ejpam-5409	188	7	w	w	NOUN
ejpam-5409	188	8	0	0	SYM
ejpam-5409	188	9	=	=	SYM
ejpam-5409	188	10			PROPN
ejpam-5409	188	11	s1,1	s1,1	PROPN
ejpam-5409	188	12	s1,2	s1,2	PROPN
ejpam-5409	188	13	·	·	PUNCT
ejpam-5409	188	14	·	·	PUNCT
ejpam-5409	188	15	·	·	PUNCT
ejpam-5409	189	1	s1,m	s1,m	PROPN
ejpam-5409	189	2	s2,1	s2,1	PROPN
ejpam-5409	189	3	s2,2	s2,2	PROPN
ejpam-5409	189	4	·	·	PUNCT
ejpam-5409	189	5	·	·	PUNCT
ejpam-5409	189	6	·	·	PUNCT
ejpam-5409	189	7	s2,m	s2,m	PROPN
ejpam-5409	189	8	...	...	PUNCT
ejpam-5409	189	9	...	...	PUNCT
ejpam-5409	189	10	.	.	PUNCT
ejpam-5409	189	11	.	.	PUNCT
ejpam-5409	189	12	.	.	PUNCT
ejpam-5409	189	13	...	...	PUNCT
ejpam-5409	190	1	sn,1	sn,1	NOUN
ejpam-5409	190	2	sn,2	sn,2	NUM
ejpam-5409	190	3	·	·	PUNCT
ejpam-5409	190	4	·	·	PUNCT
ejpam-5409	190	5	·	·	PUNCT
ejpam-5409	190	6	sn	sn	INTJ
ejpam-5409	190	7	,	,	PUNCT
ejpam-5409	190	8	m	m	VERB
ejpam-5409	190	9	×	×	PROPN
ejpam-5409	190	10			NOUN
ejpam-5409	190	11	w1,1	w1,1	PROPN
ejpam-5409	190	12	w1,2	w1,2	PROPN
ejpam-5409	190	13	·	·	PUNCT
ejpam-5409	190	14	·	·	PUNCT
ejpam-5409	190	15	·	·	PUNCT
ejpam-5409	191	1	w1,m	w1,m	PROPN
ejpam-5409	191	2	w2,1	w2,1	PROPN
ejpam-5409	191	3	w2,2	w2,2	PROPN
ejpam-5409	191	4	·	·	PUNCT
ejpam-5409	191	5	·	·	PUNCT
ejpam-5409	191	6	·	·	PUNCT
ejpam-5409	191	7	w2,m	w2,m	PROPN
ejpam-5409	191	8	...	...	PUNCT
ejpam-5409	191	9	...	...	PUNCT
ejpam-5409	191	10	.	.	PUNCT
ejpam-5409	191	11	.	.	PUNCT
ejpam-5409	191	12	.	.	PUNCT
ejpam-5409	192	1	...	...	PUNCT
ejpam-5409	193	1	wm,1	wm,1	PROPN
ejpam-5409	193	2	wm,2	wm,2	PROPN
ejpam-5409	193	3	·	·	PUNCT
ejpam-5409	193	4	·	·	PUNCT
ejpam-5409	193	5	·	·	PUNCT
ejpam-5409	193	6	wm	wm	X
ejpam-5409	193	7	,	,	PUNCT
ejpam-5409	193	8	m	m	VERB
ejpam-5409	193	9			VERB
ejpam-5409	193	10	=	=	PUNCT
ejpam-5409	193	11			PROPN
ejpam-5409	194	1	s1,1	s1,1	NOUN
ejpam-5409	194	2	×	×	NOUN
ejpam-5409	194	3	w1,1	w1,1	PROPN
ejpam-5409	194	4	+	+	PUNCT
ejpam-5409	194	5	.	.	PUNCT
ejpam-5409	194	6	.	.	PUNCT
ejpam-5409	195	1	.+	.+	NOUN
ejpam-5409	196	1	s1,m	s1,m	PROPN
ejpam-5409	196	2	×	×	PROPN
ejpam-5409	196	3	wm,1	wm,1	PROPN
ejpam-5409	196	4	.	.	PUNCT
ejpam-5409	196	5	.	.	PUNCT
ejpam-5409	197	1	.	.	PUNCT
ejpam-5409	198	1	s1,1	s1,1	INTJ
ejpam-5409	198	2	×	×	NOUN
ejpam-5409	198	3	w1,m	w1,m	PROPN
ejpam-5409	198	4	+	+	X
ejpam-5409	198	5	.	.	PUNCT
ejpam-5409	198	6	.	.	PUNCT
ejpam-5409	199	1	.+	.+	NOUN
ejpam-5409	200	1	s1,m	s1,m	PROPN
ejpam-5409	200	2	×	×	PROPN
ejpam-5409	200	3	wm	wm	PROPN
ejpam-5409	200	4	,	,	PUNCT
ejpam-5409	200	5	m	m	VERB
ejpam-5409	200	6	s2,1	s2,1	ADJ
ejpam-5409	200	7	×	×	NOUN
ejpam-5409	200	8	w1,1	w1,1	PROPN
ejpam-5409	201	1	+	+	PUNCT
ejpam-5409	201	2	.	.	PUNCT
ejpam-5409	201	3	.	.	PUNCT
ejpam-5409	202	1	.+	.+	NOUN
ejpam-5409	202	2	s2,m	s2,m	PROPN
ejpam-5409	202	3	×	×	NOUN
ejpam-5409	202	4	wm,1	wm,1	PROPN
ejpam-5409	202	5	.	.	PUNCT
ejpam-5409	202	6	.	.	PUNCT
ejpam-5409	202	7	.	.	PUNCT
ejpam-5409	203	1	s2,1	s2,1	PROPN
ejpam-5409	203	2	×	×	PROPN
ejpam-5409	203	3	w1,m	w1,m	PROPN
ejpam-5409	203	4	+	+	X
ejpam-5409	203	5	.	.	PUNCT
ejpam-5409	203	6	.	.	PUNCT
ejpam-5409	204	1	.+	.+	NOUN
ejpam-5409	205	1	s2,m	s2,m	PROPN
ejpam-5409	205	2	×	×	NOUN
ejpam-5409	205	3	wm	wm	PROPN
ejpam-5409	205	4	,	,	PUNCT
ejpam-5409	205	5	m	m	VERB
ejpam-5409	205	6	...	...	PUNCT
ejpam-5409	205	7	.	.	PUNCT
ejpam-5409	205	8	.	.	PUNCT
ejpam-5409	205	9	.	.	PUNCT
ejpam-5409	205	10	...	...	PUNCT
ejpam-5409	206	1	sn,1	sn,1	PROPN
ejpam-5409	206	2	×	×	NOUN
ejpam-5409	206	3	w1,1	w1,1	PROPN
ejpam-5409	206	4	+	+	CCONJ
ejpam-5409	206	5	.	.	PUNCT
ejpam-5409	206	6	.	.	PUNCT
ejpam-5409	207	1	.+	.+	NOUN
ejpam-5409	207	2	sn	sn	PROPN
ejpam-5409	207	3	,	,	PUNCT
ejpam-5409	207	4	m	m	VERB
ejpam-5409	207	5	×	×	NOUN
ejpam-5409	207	6	wm,1	wm,1	PROPN
ejpam-5409	207	7	.	.	PUNCT
ejpam-5409	207	8	.	.	PUNCT
ejpam-5409	207	9	.	.	PUNCT
ejpam-5409	208	1	sn,1	sn,1	PROPN
ejpam-5409	208	2	×	×	PROPN
ejpam-5409	208	3	w1,m	w1,m	PROPN
ejpam-5409	208	4	+	+	X
ejpam-5409	208	5	.	.	PUNCT
ejpam-5409	208	6	.	.	PUNCT
ejpam-5409	209	1	.+	.+	NOUN
ejpam-5409	209	2	sn	sn	PROPN
ejpam-5409	209	3	,	,	PUNCT
ejpam-5409	209	4	m	m	VERB
ejpam-5409	209	5	×	×	PROPN
ejpam-5409	209	6	wm	wm	PROPN
ejpam-5409	209	7	,	,	PUNCT
ejpam-5409	209	8	m	m	VERB
ejpam-5409	209	9			ADJ
ejpam-5409	209	10	following	follow	VERB
ejpam-5409	209	11	completion	completion	NOUN
ejpam-5409	209	12	of	of	ADP
ejpam-5409	209	13	the	the	DET
ejpam-5409	209	14	aforementioned	aforementioned	ADJ
ejpam-5409	209	15	process	process	NOUN
ejpam-5409	209	16	,	,	PUNCT
ejpam-5409	209	17	we	we	PRON
ejpam-5409	209	18	go	go	VERB
ejpam-5409	209	19	on	on	ADP
ejpam-5409	209	20	to	to	ADP
ejpam-5409	209	21	the	the	DET
ejpam-5409	209	22	second	second	ADJ
ejpam-5409	209	23	phase	phase	NOUN
ejpam-5409	209	24	,	,	PUNCT
ejpam-5409	209	25	which	which	PRON
ejpam-5409	209	26	is	be	AUX
ejpam-5409	209	27	aggregation	aggregation	NOUN
ejpam-5409	209	28	in	in	ADP
ejpam-5409	209	29	regrads	regrad	NOUN
ejpam-5409	209	30	with	with	ADP
ejpam-5409	209	31	v	v	NOUN
ejpam-5409	209	32	’s	’s	PART
ejpam-5409	209	33	neighbors	neighbor	NOUN
ejpam-5409	209	34	.	.	PUNCT
ejpam-5409	210	1	by	by	ADP
ejpam-5409	210	2	ultilizing	ultilize	VERB
ejpam-5409	210	3	the	the	DET
ejpam-5409	210	4	aggregation	aggregation	NOUN
ejpam-5409	210	5	sum	sum	NOUN
ejpam-5409	210	6	(	(	PUNCT
ejpam-5409	210	7	.	.	PUNCT
ejpam-5409	210	8	)	)	PUNCT
ejpam-5409	210	9	,	,	PUNCT
ejpam-5409	210	10	a.	a.	PROPN
ejpam-5409	210	11	i.	i.	PROPN
ejpam-5409	210	12	kristiana	kristiana	PROPN
ejpam-5409	210	13	et	et	PROPN
ejpam-5409	210	14	al	al	PROPN
ejpam-5409	210	15	.	.	PUNCT
ejpam-5409	210	16	/	/	SYM
ejpam-5409	210	17	eur	eur	PROPN
ejpam-5409	210	18	.	.	PUNCT
ejpam-5409	211	1	j.	j.	PROPN
ejpam-5409	211	2	pure	pure	PROPN
ejpam-5409	211	3	appl	appl	PROPN
ejpam-5409	211	4	.	.	PROPN
ejpam-5409	211	5	math	math	PROPN
ejpam-5409	211	6	,	,	PUNCT
ejpam-5409	211	7	17	17	NUM
ejpam-5409	211	8	(	(	PUNCT
ejpam-5409	211	9	4	4	NUM
ejpam-5409	211	10	)	)	PUNCT
ejpam-5409	211	11	(	(	PUNCT
ejpam-5409	211	12	2024	2024	NUM
ejpam-5409	211	13	)	)	PUNCT
ejpam-5409	211	14	,	,	PUNCT
ejpam-5409	211	15	3356	3356	NUM
ejpam-5409	211	16	-	-	SYM
ejpam-5409	211	17	3369	3369	NUM
ejpam-5409	211	18	3365	3365	NUM
ejpam-5409	211	19	figure	figure	NOUN
ejpam-5409	211	20	5	5	NUM
ejpam-5409	211	21	:	:	PUNCT
ejpam-5409	211	22	the	the	DET
ejpam-5409	211	23	companion	companion	NOUN
ejpam-5409	211	24	farming	farming	NOUN
ejpam-5409	211	25	layout	layout	NOUN
ejpam-5409	211	26	based	base	VERB
ejpam-5409	211	27	on	on	ADP
ejpam-5409	211	28	b−coloring	b−colore	VERB
ejpam-5409	211	29	theorem	theorem	ADJ
ejpam-5409	211	30	figure	figure	NOUN
ejpam-5409	211	31	6	6	NUM
ejpam-5409	211	32	:	:	PUNCT
ejpam-5409	211	33	the	the	DET
ejpam-5409	211	34	illustration	illustration	NOUN
ejpam-5409	211	35	of	of	ADP
ejpam-5409	211	36	companion	companion	NOUN
ejpam-5409	211	37	farming	farming	NOUN
ejpam-5409	211	38	using	use	VERB
ejpam-5409	211	39	b−coloring	b−colore	VERB
ejpam-5409	211	40	for	for	ADP
ejpam-5409	211	41	hl+1	hl+1	PROPN
ejpam-5409	211	42	v	v	X
ejpam-5409	211	43	=	=	NOUN
ejpam-5409	211	44	agg{ml+1	agg{ml+1	NOUN
ejpam-5409	211	45	u	u	NOUN
ejpam-5409	211	46	,	,	PUNCT
ejpam-5409	211	47	u	u	PROPN
ejpam-5409	211	48	∈	∈	PROPN
ejpam-5409	211	49	n(v	n(v	PROPN
ejpam-5409	211	50	)	)	PUNCT
ejpam-5409	211	51	}	}	PUNCT
ejpam-5409	211	52	we	we	PRON
ejpam-5409	211	53	have	have	VERB
ejpam-5409	211	54	hl+1	hl+1	PROPN
ejpam-5409	212	1	v	v	NOUN
ejpam-5409	212	2	=	=	PUNCT
ejpam-5409	212	3	sum{ml+1	sum{ml+1	NOUN
ejpam-5409	212	4	u	u	NOUN
ejpam-5409	212	5	,	,	PUNCT
ejpam-5409	212	6	u	u	PROPN
ejpam-5409	212	7	∈	∈	PROPN
ejpam-5409	212	8	n(v	n(v	PROPN
ejpam-5409	212	9	)	)	PUNCT
ejpam-5409	212	10	}	}	PUNCT
ejpam-5409	212	11	in	in	ADP
ejpam-5409	212	12	regrads	regrad	NOUN
ejpam-5409	212	13	to	to	ADP
ejpam-5409	212	14	the	the	DET
ejpam-5409	212	15	matrix	matrix	NOUN
ejpam-5409	212	16	b	b	NOUN
ejpam-5409	212	17	=	=	PRON
ejpam-5409	212	18	a+	a+	PUNCT
ejpam-5409	212	19	1	1	NUM
ejpam-5409	212	20	,	,	PUNCT
ejpam-5409	212	21	the	the	DET
ejpam-5409	212	22	embedding	embed	VERB
ejpam-5409	212	23	vector	vector	NOUN
ejpam-5409	212	24	h1vi	h1vi	NOUN
ejpam-5409	212	25	can	can	AUX
ejpam-5409	212	26	compose	compose	VERB
ejpam-5409	212	27	as	as	SCONJ
ejpam-5409	212	28	follows	follow	VERB
ejpam-5409	212	29	.	.	PUNCT
ejpam-5409	213	1	hl+1	hl+1	PROPN
ejpam-5409	213	2	vi	vi	NOUN
ejpam-5409	214	1	=	=	PUNCT
ejpam-5409	214	2			NOUN
ejpam-5409	214	3	ml+1	ml+1	PROPN
ejpam-5409	214	4	v1,1	v1,1	PROPN
ejpam-5409	214	5	ml+1	ml+1	PROPN
ejpam-5409	214	6	v1,2	v1,2	PROPN
ejpam-5409	214	7	·	·	PUNCT
ejpam-5409	214	8	·	·	PUNCT
ejpam-5409	214	9	·	·	PUNCT
ejpam-5409	215	1	ml+1	ml+1	PROPN
ejpam-5409	215	2	v1,m	v1,m	PROPN
ejpam-5409	215	3	ml+1	ml+1	PROPN
ejpam-5409	215	4	v2,1	v2,1	PROPN
ejpam-5409	215	5	ml+1	ml+1	PROPN
ejpam-5409	215	6	v2,2	v2,2	PROPN
ejpam-5409	215	7	·	·	PUNCT
ejpam-5409	215	8	·	·	PUNCT
ejpam-5409	215	9	·	·	PUNCT
ejpam-5409	216	1	ml+1	ml+1	PROPN
ejpam-5409	216	2	v2,m	v2,m	PROPN
ejpam-5409	216	3	...	...	PUNCT
ejpam-5409	216	4	...	...	PUNCT
ejpam-5409	216	5	.	.	PUNCT
ejpam-5409	216	6	.	.	PUNCT
ejpam-5409	216	7	.	.	PUNCT
ejpam-5409	216	8	...	...	PUNCT
ejpam-5409	217	1	ml+1	ml+1	X
ejpam-5409	217	2	vn,1	vn,1	PROPN
ejpam-5409	217	3	ml+1	ml+1	PRON
ejpam-5409	217	4	vn,2	vn,2	PROPN
ejpam-5409	217	5	·	·	PUNCT
ejpam-5409	217	6	·	·	PUNCT
ejpam-5409	217	7	·	·	PUNCT
ejpam-5409	218	1	ml+1	ml+1	PROPN
ejpam-5409	218	2	vn	vn	PROPN
ejpam-5409	218	3	,	,	PUNCT
ejpam-5409	218	4	m	m	AUX
ejpam-5409	218	5			VERB
ejpam-5409	218	6	the	the	DET
ejpam-5409	218	7	next	next	ADJ
ejpam-5409	218	8	step	step	NOUN
ejpam-5409	218	9	is	be	AUX
ejpam-5409	218	10	to	to	PART
ejpam-5409	218	11	determine	determine	VERB
ejpam-5409	218	12	the	the	DET
ejpam-5409	218	13	error	error	NOUN
ejpam-5409	218	14	value	value	NOUN
ejpam-5409	218	15	,	,	PUNCT
ejpam-5409	218	16	which	which	PRON
ejpam-5409	218	17	shows	show	VERB
ejpam-5409	218	18	how	how	SCONJ
ejpam-5409	218	19	near	near	ADP
ejpam-5409	218	20	two	two	NUM
ejpam-5409	218	21	neighboring	neighboring	NOUN
ejpam-5409	218	22	vertices	vertex	NOUN
ejpam-5409	218	23	are	be	AUX
ejpam-5409	218	24	to	to	ADP
ejpam-5409	218	25	one	one	NUM
ejpam-5409	218	26	another	another	DET
ejpam-5409	218	27	in	in	ADP
ejpam-5409	218	28	the	the	DET
ejpam-5409	218	29	embedding	embed	VERB
ejpam-5409	218	30	space	space	NOUN
ejpam-5409	218	31	.	.	PUNCT
ejpam-5409	219	1	the	the	DET
ejpam-5409	219	2	separation	separation	NOUN
ejpam-5409	219	3	of	of	ADP
ejpam-5409	219	4	the	the	DET
ejpam-5409	219	5	two	two	NUM
ejpam-5409	219	6	vertices	vertex	NOUN
ejpam-5409	219	7	gets	get	VERB
ejpam-5409	219	8	smaller	small	ADJ
ejpam-5409	219	9	as	as	SCONJ
ejpam-5409	219	10	the	the	DET
ejpam-5409	219	11	error	error	NOUN
ejpam-5409	219	12	value	value	NOUN
ejpam-5409	219	13	decreases	decrease	VERB
ejpam-5409	219	14	.	.	PUNCT
ejpam-5409	220	1	one	one	PRON
ejpam-5409	220	2	can	can	AUX
ejpam-5409	220	3	formulate	formulate	VERB
ejpam-5409	220	4	the	the	DET
ejpam-5409	220	5	error	error	NOUN
ejpam-5409	220	6	as	as	SCONJ
ejpam-5409	220	7	follows	follow	VERB
ejpam-5409	220	8	:	:	PUNCT
ejpam-5409	220	9	errorl	errorl	NOUN
ejpam-5409	220	10	=	=	PUNCT
ejpam-5409	220	11	h(vi)−h(vj)inf	h(vi)−h(vj)inf	PROPN
ejpam-5409	221	1	|e(g)|	|e(g)|	ADJ
ejpam-5409	221	2	where	where	SCONJ
ejpam-5409	221	3	i	i	PROPN
ejpam-5409	221	4	,	,	PUNCT
ejpam-5409	221	5	j	j	PROPN
ejpam-5409	221	6	∈	∈	PROPN
ejpam-5409	221	7	{	{	PUNCT
ejpam-5409	221	8	1	1	NUM
ejpam-5409	221	9	,	,	PUNCT
ejpam-5409	221	10	2	2	NUM
ejpam-5409	221	11	,	,	PUNCT
ejpam-5409	221	12	...	...	PUNCT
ejpam-5409	221	13	,	,	PUNCT
ejpam-5409	221	14	n	n	CCONJ
ejpam-5409	221	15	}	}	PUNCT
ejpam-5409	221	16	.	.	PUNCT
ejpam-5409	222	1	we	we	PRON
ejpam-5409	222	2	need	need	VERB
ejpam-5409	222	3	to	to	PART
ejpam-5409	222	4	check	check	VERB
ejpam-5409	222	5	whether	whether	SCONJ
ejpam-5409	222	6	error	error	NOUN
ejpam-5409	222	7	≤	≤	X
ejpam-5409	222	8	ϵ.	ϵ.	NOUN
ejpam-5409	223	1	if	if	SCONJ
ejpam-5409	223	2	no	no	INTJ
ejpam-5409	223	3	,	,	PUNCT
ejpam-5409	223	4	we	we	PRON
ejpam-5409	223	5	need	need	VERB
ejpam-5409	223	6	to	to	PART
ejpam-5409	223	7	update	update	VERB
ejpam-5409	223	8	new	new	ADJ
ejpam-5409	223	9	w	w	NOUN
ejpam-5409	223	10	l	l	NOUN
ejpam-5409	223	11	using	use	VERB
ejpam-5409	223	12	the	the	DET
ejpam-5409	223	13	obtained	obtain	VERB
ejpam-5409	223	14	hlvi	hlvi	NOUN
ejpam-5409	223	15	in	in	ADP
ejpam-5409	223	16	the	the	DET
ejpam-5409	223	17	previous	previous	ADJ
ejpam-5409	223	18	iteration	iteration	NOUN
ejpam-5409	223	19	.	.	PUNCT
ejpam-5409	224	1	we	we	PRON
ejpam-5409	224	2	revise	revise	VERB
ejpam-5409	224	3	the	the	DET
ejpam-5409	224	4	matrix	matrix	NOUN
ejpam-5409	224	5	of	of	ADP
ejpam-5409	224	6	learning	learn	VERB
ejpam-5409	224	7	weights	weight	NOUN
ejpam-5409	224	8	by	by	ADP
ejpam-5409	224	9	using	use	VERB
ejpam-5409	224	10	w	w	ADP
ejpam-5409	224	11	l+1	l+1	NOUN
ejpam-5409	224	12	=	=	PUNCT
ejpam-5409	224	13	w	w	PROPN
ejpam-5409	224	14	l	l	NOUN
ejpam-5409	225	1	+	+	CCONJ
ejpam-5409	225	2	α×	α×	X
ejpam-5409	225	3	errorl	errorl	NOUN
ejpam-5409	225	4	×	×	NOUN
ejpam-5409	225	5	(	(	PUNCT
ejpam-5409	225	6	hlvi	hlvi	PROPN
ejpam-5409	225	7	)	)	PUNCT
ejpam-5409	225	8	t	t	PROPN
ejpam-5409	225	9	×	×	NOUN
ejpam-5409	225	10	hl+1	hl+1	PROPN
ejpam-5409	225	11	vi	vi	PROPN
ejpam-5409	225	12	until	until	ADP
ejpam-5409	225	13	error	error	NOUN
ejpam-5409	226	1	≤	≤	NOUN
ejpam-5409	226	2	ϵ.	ϵ.	NOUN
ejpam-5409	226	3	a.	a.	PROPN
ejpam-5409	226	4	i.	i.	PROPN
ejpam-5409	227	1	kristiana	kristiana	PROPN
ejpam-5409	228	1	et	et	PROPN
ejpam-5409	229	1	al	al	PROPN
ejpam-5409	229	2	.	.	PUNCT
ejpam-5409	229	3	/	/	SYM
ejpam-5409	229	4	eur	eur	PROPN
ejpam-5409	229	5	.	.	PUNCT
ejpam-5409	230	1	j.	j.	PROPN
ejpam-5409	230	2	pure	pure	PROPN
ejpam-5409	230	3	appl	appl	PROPN
ejpam-5409	230	4	.	.	PROPN
ejpam-5409	230	5	math	math	PROPN
ejpam-5409	230	6	,	,	PUNCT
ejpam-5409	230	7	17	17	NUM
ejpam-5409	230	8	(	(	PUNCT
ejpam-5409	230	9	4	4	NUM
ejpam-5409	230	10	)	)	PUNCT
ejpam-5409	230	11	(	(	PUNCT
ejpam-5409	230	12	2024	2024	NUM
ejpam-5409	230	13	)	)	PUNCT
ejpam-5409	230	14	,	,	PUNCT
ejpam-5409	230	15	3356	3356	NUM
ejpam-5409	230	16	-	-	SYM
ejpam-5409	230	17	3369	3369	NUM
ejpam-5409	230	18	3366	3366	NUM
ejpam-5409	230	19	3.4	3.4	NUM
ejpam-5409	230	20	.	.	PUNCT
ejpam-5409	231	1	the	the	DET
ejpam-5409	231	2	performance	performance	NOUN
ejpam-5409	231	3	of	of	ADP
ejpam-5409	231	4	stgnn	stgnn	NOUN
ejpam-5409	231	5	training	training	NOUN
ejpam-5409	231	6	and	and	CCONJ
ejpam-5409	231	7	testing	testing	NOUN
ejpam-5409	231	8	furthermore	furthermore	ADV
ejpam-5409	231	9	,	,	PUNCT
ejpam-5409	231	10	a	a	DET
ejpam-5409	231	11	computer	computer	NOUN
ejpam-5409	231	12	simulation	simulation	NOUN
ejpam-5409	231	13	of	of	ADP
ejpam-5409	231	14	the	the	DET
ejpam-5409	231	15	stgnn	stgnn	NOUN
ejpam-5409	231	16	architecture	architecture	NOUN
ejpam-5409	231	17	will	will	AUX
ejpam-5409	231	18	be	be	AUX
ejpam-5409	231	19	carried	carry	VERB
ejpam-5409	231	20	out	out	ADP
ejpam-5409	231	21	for	for	ADP
ejpam-5409	231	22	training	training	NOUN
ejpam-5409	231	23	,	,	PUNCT
ejpam-5409	231	24	testing	testing	NOUN
ejpam-5409	231	25	,	,	PUNCT
ejpam-5409	231	26	and	and	CCONJ
ejpam-5409	231	27	forecasting	forecast	VERB
ejpam-5409	231	28	companion	companion	NOUN
ejpam-5409	231	29	farming	farming	NOUN
ejpam-5409	231	30	data	datum	NOUN
ejpam-5409	231	31	using	use	VERB
ejpam-5409	231	32	the	the	DET
ejpam-5409	231	33	one	one	NUM
ejpam-5409	231	34	-	-	PUNCT
ejpam-5409	231	35	layer	layer	NOUN
ejpam-5409	231	36	stgnn	stgnn	NOUN
ejpam-5409	231	37	algorithm	algorithm	PROPN
ejpam-5409	231	38	.	.	PUNCT
ejpam-5409	232	1	then	then	ADV
ejpam-5409	232	2	analyzed	analyze	VERB
ejpam-5409	232	3	soil	soil	NOUN
ejpam-5409	232	4	moisture	moisture	NOUN
ejpam-5409	232	5	and	and	CCONJ
ejpam-5409	232	6	ph	ph	NOUN
ejpam-5409	232	7	at	at	ADP
ejpam-5409	232	8	64	64	NUM
ejpam-5409	232	9	planting	planting	NOUN
ejpam-5409	232	10	vertex	vertex	NOUN
ejpam-5409	232	11	on	on	ADP
ejpam-5409	232	12	the	the	DET
ejpam-5409	232	13	graph	graph	NOUN
ejpam-5409	232	14	pn	pn	PROPN
ejpam-5409	232	15	▷v1	▷v1	PROPN
ejpam-5409	232	16	pm	pm	NOUN
ejpam-5409	232	17	.	.	PUNCT
ejpam-5409	233	1	the	the	DET
ejpam-5409	233	2	first	first	ADJ
ejpam-5409	233	3	stage	stage	NOUN
ejpam-5409	233	4	of	of	ADP
ejpam-5409	233	5	this	this	DET
ejpam-5409	233	6	research	research	NOUN
ejpam-5409	233	7	performs	perform	VERB
ejpam-5409	233	8	the	the	DET
ejpam-5409	233	9	process	process	NOUN
ejpam-5409	233	10	of	of	ADP
ejpam-5409	233	11	vertex	vertex	NOUN
ejpam-5409	233	12	embedding	embed	VERB
ejpam-5409	233	13	of	of	ADP
ejpam-5409	233	14	single	single	ADJ
ejpam-5409	233	15	layer	layer	NOUN
ejpam-5409	233	16	stgnn	stgnn	NOUN
ejpam-5409	233	17	on	on	ADP
ejpam-5409	233	18	the	the	DET
ejpam-5409	233	19	given	give	VERB
ejpam-5409	233	20	graph	graph	NOUN
ejpam-5409	233	21	with	with	ADP
ejpam-5409	233	22	2	2	NUM
ejpam-5409	233	23	data	data	NOUN
ejpam-5409	233	24	features	feature	NOUN
ejpam-5409	233	25	,	,	PUNCT
ejpam-5409	233	26	namely	namely	ADV
ejpam-5409	233	27	soil	soil	NOUN
ejpam-5409	233	28	moisture	moisture	NOUN
ejpam-5409	233	29	and	and	CCONJ
ejpam-5409	233	30	ph	ph	ADJ
ejpam-5409	233	31	data	datum	NOUN
ejpam-5409	233	32	for	for	ADP
ejpam-5409	233	33	30	30	NUM
ejpam-5409	233	34	days	day	NOUN
ejpam-5409	233	35	of	of	ADP
ejpam-5409	233	36	observation	observation	NOUN
ejpam-5409	233	37	.	.	PUNCT
ejpam-5409	234	1	overall	overall	ADV
ejpam-5409	234	2	,	,	PUNCT
ejpam-5409	234	3	the	the	DET
ejpam-5409	234	4	data	data	NOUN
ejpam-5409	234	5	consists	consist	VERB
ejpam-5409	234	6	of	of	ADP
ejpam-5409	234	7	64×2×30	64×2×30	NUM
ejpam-5409	234	8	=	=	SYM
ejpam-5409	234	9	3840	3840	NUM
ejpam-5409	234	10	,	,	PUNCT
ejpam-5409	234	11	which	which	PRON
ejpam-5409	234	12	consists	consist	VERB
ejpam-5409	234	13	of	of	ADP
ejpam-5409	234	14	64	64	NUM
ejpam-5409	234	15	planting	planting	NOUN
ejpam-5409	234	16	vertex	vertex	NOUN
ejpam-5409	234	17	,	,	PUNCT
ejpam-5409	234	18	two	two	NUM
ejpam-5409	234	19	features	feature	NOUN
ejpam-5409	234	20	and	and	CCONJ
ejpam-5409	234	21	30	30	NUM
ejpam-5409	234	22	days	day	NOUN
ejpam-5409	234	23	of	of	ADP
ejpam-5409	234	24	observation	observation	NOUN
ejpam-5409	234	25	.	.	PUNCT
ejpam-5409	235	1	the	the	DET
ejpam-5409	235	2	data	datum	NOUN
ejpam-5409	235	3	is	be	AUX
ejpam-5409	235	4	obtained	obtain	VERB
ejpam-5409	235	5	from	from	ADP
ejpam-5409	235	6	several	several	ADJ
ejpam-5409	235	7	soil	soil	NOUN
ejpam-5409	235	8	sensors	sensor	NOUN
ejpam-5409	235	9	placed	place	VERB
ejpam-5409	235	10	in	in	ADP
ejpam-5409	235	11	one	one	NUM
ejpam-5409	235	12	of	of	ADP
ejpam-5409	235	13	the	the	DET
ejpam-5409	235	14	companion	companion	NOUN
ejpam-5409	235	15	planting	planting	NOUN
ejpam-5409	235	16	.	.	PUNCT
ejpam-5409	236	1	after	after	ADP
ejpam-5409	236	2	performing	perform	VERB
ejpam-5409	236	3	the	the	DET
ejpam-5409	236	4	algorithm	algorithm	NOUN
ejpam-5409	236	5	above	above	ADV
ejpam-5409	236	6	,	,	PUNCT
ejpam-5409	236	7	the	the	DET
ejpam-5409	236	8	adjacency	adjacency	NOUN
ejpam-5409	236	9	matrix	matrix	NOUN
ejpam-5409	236	10	of	of	ADP
ejpam-5409	236	11	the	the	DET
ejpam-5409	236	12	graph	graph	NOUN
ejpam-5409	236	13	pn	pn	PROPN
ejpam-5409	236	14	▷v1	▷v1	PROPN
ejpam-5409	236	15	pm	pm	NOUN
ejpam-5409	236	16	can	can	AUX
ejpam-5409	236	17	be	be	AUX
ejpam-5409	236	18	seen	see	VERB
ejpam-5409	236	19	in	in	ADP
ejpam-5409	236	20	figure	figure	NOUN
ejpam-5409	236	21	7	7	NUM
ejpam-5409	236	22	.	.	PUNCT
ejpam-5409	237	1	furthermore	furthermore	ADV
ejpam-5409	237	2	,	,	PUNCT
ejpam-5409	237	3	the	the	DET
ejpam-5409	237	4	distribution	distribution	NOUN
ejpam-5409	237	5	graph	graph	NOUN
ejpam-5409	237	6	of	of	ADP
ejpam-5409	237	7	soil	soil	NOUN
ejpam-5409	237	8	moisture	moisture	NOUN
ejpam-5409	237	9	and	and	CCONJ
ejpam-5409	237	10	ph	ph	VERB
ejpam-5409	237	11	with	with	ADP
ejpam-5409	237	12	64	64	NUM
ejpam-5409	237	13	planting	planting	NOUN
ejpam-5409	237	14	vertex	vertex	NOUN
ejpam-5409	237	15	for	for	ADP
ejpam-5409	237	16	30	30	NUM
ejpam-5409	237	17	days	day	NOUN
ejpam-5409	237	18	is	be	AUX
ejpam-5409	237	19	shown	show	VERB
ejpam-5409	237	20	in	in	ADP
ejpam-5409	237	21	figure	figure	NOUN
ejpam-5409	237	22	8	8	NUM
ejpam-5409	237	23	.	.	PUNCT
ejpam-5409	238	1	the	the	DET
ejpam-5409	238	2	results	result	NOUN
ejpam-5409	238	3	of	of	ADP
ejpam-5409	238	4	training	training	NOUN
ejpam-5409	238	5	and	and	CCONJ
ejpam-5409	238	6	testing	testing	NOUN
ejpam-5409	238	7	of	of	ADP
ejpam-5409	238	8	companion	companion	NOUN
ejpam-5409	238	9	farming	farming	NOUN
ejpam-5409	238	10	at	at	ADP
ejpam-5409	238	11	64	64	NUM
ejpam-5409	238	12	planting	planting	NOUN
ejpam-5409	238	13	vertex	vertex	NOUN
ejpam-5409	238	14	are	be	AUX
ejpam-5409	238	15	shown	show	VERB
ejpam-5409	238	16	in	in	ADP
ejpam-5409	238	17	figure	figure	NOUN
ejpam-5409	238	18	9	9	NUM
ejpam-5409	238	19	.	.	PUNCT
ejpam-5409	239	1	after	after	ADP
ejpam-5409	239	2	that	that	PRON
ejpam-5409	239	3	,	,	PUNCT
ejpam-5409	239	4	the	the	DET
ejpam-5409	239	5	results	result	NOUN
ejpam-5409	239	6	of	of	ADP
ejpam-5409	239	7	the	the	DET
ejpam-5409	239	8	multi	multi	ADJ
ejpam-5409	239	9	-	-	ADJ
ejpam-5409	239	10	step	step	ADJ
ejpam-5409	239	11	time	time	NOUN
ejpam-5409	239	12	series	series	PROPN
ejpam-5409	239	13	forecasting	forecasting	NOUN
ejpam-5409	239	14	graph	graph	NOUN
ejpam-5409	239	15	for	for	ADP
ejpam-5409	239	16	the	the	DET
ejpam-5409	239	17	next	next	ADJ
ejpam-5409	239	18	6	6	NUM
ejpam-5409	239	19	days	day	NOUN
ejpam-5409	239	20	are	be	AUX
ejpam-5409	239	21	shown	show	VERB
ejpam-5409	239	22	in	in	ADP
ejpam-5409	239	23	figure	figure	NOUN
ejpam-5409	239	24	10	10	NUM
ejpam-5409	239	25	.	.	PUNCT
ejpam-5409	240	1	figure	figure	VERB
ejpam-5409	240	2	7	7	NUM
ejpam-5409	240	3	:	:	PUNCT
ejpam-5409	240	4	pn	pn	PROPN
ejpam-5409	240	5	▷v1	▷v1	PROPN
ejpam-5409	240	6	pm	pm	NOUN
ejpam-5409	240	7	graph	graph	NOUN
ejpam-5409	240	8	with	with	ADP
ejpam-5409	240	9	64	64	NUM
ejpam-5409	240	10	vertices	vertex	NOUN
ejpam-5409	240	11	and	and	CCONJ
ejpam-5409	240	12	companion	companion	NOUN
ejpam-5409	240	13	farming	farming	NOUN
ejpam-5409	240	14	adjacency	adjacency	NOUN
ejpam-5409	240	15	matrix	matrix	NOUN
ejpam-5409	240	16	figure	figure	NOUN
ejpam-5409	240	17	8	8	NUM
ejpam-5409	240	18	:	:	PUNCT
ejpam-5409	240	19	the	the	DET
ejpam-5409	240	20	distribution	distribution	NOUN
ejpam-5409	240	21	of	of	ADP
ejpam-5409	240	22	soil	soil	NOUN
ejpam-5409	240	23	moisture	moisture	NOUN
ejpam-5409	240	24	,	,	PUNCT
ejpam-5409	240	25	temperature	temperature	NOUN
ejpam-5409	240	26	and	and	CCONJ
ejpam-5409	240	27	ph	ph	NOUN
ejpam-5409	240	28	with	with	ADP
ejpam-5409	240	29	64	64	NUM
ejpam-5409	240	30	companion	companion	NOUN
ejpam-5409	240	31	farming	farming	NOUN
ejpam-5409	240	32	vertex	vertex	NOUN
ejpam-5409	240	33	on	on	ADP
ejpam-5409	240	34	30	30	NUM
ejpam-5409	240	35	days	day	NOUN
ejpam-5409	240	36	to	to	ADP
ejpam-5409	240	37	training	training	NOUN
ejpam-5409	240	38	and	and	CCONJ
ejpam-5409	240	39	testing	testing	NOUN
ejpam-5409	240	40	dataset	dataset	NOUN
ejpam-5409	240	41	based	base	VERB
ejpam-5409	240	42	on	on	ADP
ejpam-5409	240	43	the	the	DET
ejpam-5409	240	44	previously	previously	ADV
ejpam-5409	240	45	described	describe	VERB
ejpam-5409	240	46	algorithm	algorithm	NOUN
ejpam-5409	240	47	,	,	PUNCT
ejpam-5409	240	48	an	an	DET
ejpam-5409	240	49	vertex	vertex	NOUN
ejpam-5409	240	50	embedding	embed	VERB
ejpam-5409	240	51	with	with	ADP
ejpam-5409	240	52	64	64	NUM
ejpam-5409	240	53	planting	planting	NOUN
ejpam-5409	240	54	vertices	vertex	NOUN
ejpam-5409	240	55	is	be	AUX
ejpam-5409	240	56	required	require	VERB
ejpam-5409	240	57	.	.	PUNCT
ejpam-5409	241	1	in	in	ADP
ejpam-5409	241	2	the	the	DET
ejpam-5409	241	3	process	process	NOUN
ejpam-5409	241	4	of	of	ADP
ejpam-5409	241	5	message	message	NOUN
ejpam-5409	241	6	passing	passing	NOUN
ejpam-5409	241	7	,	,	PUNCT
ejpam-5409	241	8	it	it	PRON
ejpam-5409	241	9	assumes	assume	VERB
ejpam-5409	241	10	that	that	SCONJ
ejpam-5409	241	11	each	each	DET
ejpam-5409	241	12	vertex	vertex	NOUN
ejpam-5409	241	13	has	have	VERB
ejpam-5409	241	14	some	some	DET
ejpam-5409	241	15	information	information	NOUN
ejpam-5409	241	16	and	and	CCONJ
ejpam-5409	241	17	sends	send	VERB
ejpam-5409	241	18	the	the	DET
ejpam-5409	241	19	information	information	NOUN
ejpam-5409	241	20	to	to	ADP
ejpam-5409	241	21	its	its	PRON
ejpam-5409	241	22	neighbours	neighbour	NOUN
ejpam-5409	241	23	.	.	PUNCT
ejpam-5409	242	1	with	with	ADP
ejpam-5409	242	2	the	the	DET
ejpam-5409	242	3	above	above	ADJ
ejpam-5409	242	4	algorithm	algorithm	NOUN
ejpam-5409	242	5	steps	step	NOUN
ejpam-5409	242	6	,	,	PUNCT
ejpam-5409	242	7	a.	a.	PROPN
ejpam-5409	242	8	i.	i.	PROPN
ejpam-5409	242	9	kristiana	kristiana	PROPN
ejpam-5409	242	10	et	et	PROPN
ejpam-5409	242	11	al	al	PROPN
ejpam-5409	242	12	.	.	PUNCT
ejpam-5409	242	13	/	/	SYM
ejpam-5409	242	14	eur	eur	PROPN
ejpam-5409	242	15	.	.	PUNCT
ejpam-5409	243	1	j.	j.	PROPN
ejpam-5409	243	2	pure	pure	PROPN
ejpam-5409	243	3	appl	appl	PROPN
ejpam-5409	243	4	.	.	PROPN
ejpam-5409	243	5	math	math	PROPN
ejpam-5409	243	6	,	,	PUNCT
ejpam-5409	243	7	17	17	NUM
ejpam-5409	243	8	(	(	PUNCT
ejpam-5409	243	9	4	4	NUM
ejpam-5409	243	10	)	)	PUNCT
ejpam-5409	243	11	(	(	PUNCT
ejpam-5409	243	12	2024	2024	NUM
ejpam-5409	243	13	)	)	PUNCT
ejpam-5409	243	14	,	,	PUNCT
ejpam-5409	243	15	3356	3356	NUM
ejpam-5409	243	16	-	-	SYM
ejpam-5409	243	17	3369	3369	NUM
ejpam-5409	243	18	3367	3367	NUM
ejpam-5409	243	19	figure	figure	NOUN
ejpam-5409	243	20	9	9	NUM
ejpam-5409	243	21	:	:	PUNCT
ejpam-5409	243	22	the	the	DET
ejpam-5409	243	23	result	result	NOUN
ejpam-5409	243	24	of	of	ADP
ejpam-5409	243	25	training	training	NOUN
ejpam-5409	243	26	and	and	CCONJ
ejpam-5409	243	27	testing	testing	NOUN
ejpam-5409	243	28	data	datum	NOUN
ejpam-5409	243	29	of	of	ADP
ejpam-5409	243	30	companion	companion	NOUN
ejpam-5409	243	31	farming	farming	NOUN
ejpam-5409	243	32	figure	figure	NOUN
ejpam-5409	243	33	10	10	NUM
ejpam-5409	243	34	:	:	PUNCT
ejpam-5409	243	35	the	the	DET
ejpam-5409	243	36	result	result	NOUN
ejpam-5409	243	37	of	of	ADP
ejpam-5409	243	38	multi	multi	ADJ
ejpam-5409	243	39	-	-	ADJ
ejpam-5409	243	40	step	step	ADJ
ejpam-5409	243	41	time	time	NOUN
ejpam-5409	243	42	series	series	PROPN
ejpam-5409	243	43	forecasting	forecasting	NOUN
ejpam-5409	243	44	of	of	ADP
ejpam-5409	243	45	companion	companion	NOUN
ejpam-5409	243	46	farming	farming	NOUN
ejpam-5409	243	47	time	time	NOUN
ejpam-5409	243	48	series	series	PROPN
ejpam-5409	243	49	data	data	PROPN
ejpam-5409	243	50	is	be	AUX
ejpam-5409	243	51	obtained	obtain	VERB
ejpam-5409	243	52	to	to	PART
ejpam-5409	243	53	be	be	AUX
ejpam-5409	243	54	analyzed	analyze	VERB
ejpam-5409	243	55	using	use	VERB
ejpam-5409	243	56	stgnn	stgnn	NOUN
ejpam-5409	243	57	.	.	PUNCT
ejpam-5409	244	1	to	to	PART
ejpam-5409	244	2	consider	consider	VERB
ejpam-5409	244	3	how	how	SCONJ
ejpam-5409	244	4	effective	effective	ADJ
ejpam-5409	244	5	the	the	DET
ejpam-5409	244	6	result	result	NOUN
ejpam-5409	244	7	of	of	ADP
ejpam-5409	244	8	vertex	vertex	NOUN
ejpam-5409	244	9	embedding	embed	VERB
ejpam-5409	244	10	is	be	AUX
ejpam-5409	244	11	,	,	PUNCT
ejpam-5409	244	12	next	next	ADJ
ejpam-5409	244	13	determine	determine	VERB
ejpam-5409	244	14	the	the	DET
ejpam-5409	244	15	error	error	NOUN
ejpam-5409	244	16	by	by	ADP
ejpam-5409	244	17	considering	consider	VERB
ejpam-5409	244	18	every	every	DET
ejpam-5409	244	19	two	two	NUM
ejpam-5409	244	20	adjacent	adjacent	ADJ
ejpam-5409	244	21	vertices	vertex	NOUN
ejpam-5409	244	22	.	.	PUNCT
ejpam-5409	245	1	then	then	ADV
ejpam-5409	245	2	,	,	PUNCT
ejpam-5409	245	3	a	a	DET
ejpam-5409	245	4	multi	multi	ADJ
ejpam-5409	245	5	-	-	ADJ
ejpam-5409	245	6	step	step	ADJ
ejpam-5409	245	7	time	time	NOUN
ejpam-5409	245	8	series	series	PROPN
ejpam-5409	245	9	prediction	prediction	NOUN
ejpam-5409	245	10	algorithm	algorithm	NOUN
ejpam-5409	245	11	is	be	AUX
ejpam-5409	245	12	developed	develop	VERB
ejpam-5409	245	13	.	.	PUNCT
ejpam-5409	246	1	stgnn	stgnn	NOUN
ejpam-5409	246	2	to	to	PART
ejpam-5409	246	3	train	train	VERB
ejpam-5409	246	4	60	60	NUM
ejpam-5409	246	5	%	%	NOUN
ejpam-5409	246	6	of	of	ADP
ejpam-5409	246	7	the	the	DET
ejpam-5409	246	8	data	datum	NOUN
ejpam-5409	246	9	and	and	CCONJ
ejpam-5409	246	10	obtain	obtain	VERB
ejpam-5409	246	11	the	the	DET
ejpam-5409	246	12	smallest	small	ADJ
ejpam-5409	246	13	root	root	NOUN
ejpam-5409	246	14	mean	mean	ADJ
ejpam-5409	246	15	square	square	ADJ
ejpam-5409	246	16	error	error	NOUN
ejpam-5409	246	17	(	(	PUNCT
ejpam-5409	246	18	rmse	rmse	NOUN
ejpam-5409	246	19	)	)	PUNCT
ejpam-5409	246	20	and	and	CCONJ
ejpam-5409	246	21	mean	mean	VERB
ejpam-5409	246	22	square	square	ADJ
ejpam-5409	246	23	error	error	NOUN
ejpam-5409	246	24	(	(	PUNCT
ejpam-5409	246	25	mse	mse	NOUN
ejpam-5409	246	26	)	)	PUNCT
ejpam-5409	246	27	of	of	ADP
ejpam-5409	246	28	the	the	DET
ejpam-5409	246	29	test	test	NOUN
ejpam-5409	246	30	data	datum	NOUN
ejpam-5409	246	31	.	.	PUNCT
ejpam-5409	247	1	after	after	ADP
ejpam-5409	247	2	the	the	DET
ejpam-5409	247	3	algorithm	algorithm	NOUN
ejpam-5409	247	4	of	of	ADP
ejpam-5409	247	5	soil	soil	NOUN
ejpam-5409	247	6	moisture	moisture	NOUN
ejpam-5409	247	7	and	and	CCONJ
ejpam-5409	247	8	ph	ph	ADJ
ejpam-5409	247	9	data	datum	NOUN
ejpam-5409	247	10	,	,	PUNCT
ejpam-5409	247	11	the	the	DET
ejpam-5409	247	12	mse	mse	NOUN
ejpam-5409	247	13	value	value	NOUN
ejpam-5409	247	14	obtained	obtain	VERB
ejpam-5409	247	15	on	on	ADP
ejpam-5409	247	16	the	the	DET
ejpam-5409	247	17	planting	planting	NOUN
ejpam-5409	247	18	layout	layout	NOUN
ejpam-5409	247	19	pn	pn	PROPN
ejpam-5409	247	20	▷v1	▷v1	PROPN
ejpam-5409	247	21	pm	pm	NOUN
ejpam-5409	247	22	is	be	AUX
ejpam-5409	247	23	0.0267	0.0267	NUM
ejpam-5409	247	24	.	.	PUNCT
ejpam-5409	248	1	to	to	PART
ejpam-5409	248	2	convince	convince	VERB
ejpam-5409	248	3	the	the	DET
ejpam-5409	248	4	robustness	robustness	NOUN
ejpam-5409	248	5	of	of	ADP
ejpam-5409	248	6	the	the	DET
ejpam-5409	248	7	stgnn	stgnn	PROPN
ejpam-5409	248	8	model	model	PROPN
ejpam-5409	248	9	,	,	PUNCT
ejpam-5409	248	10	we	we	PRON
ejpam-5409	248	11	compare	compare	VERB
ejpam-5409	248	12	six	six	NUM
ejpam-5409	248	13	models	model	NOUN
ejpam-5409	248	14	,	,	PUNCT
ejpam-5409	248	15	namely	namely	ADV
ejpam-5409	248	16	historical	historical	ADJ
ejpam-5409	248	17	average	average	ADJ
ejpam-5409	248	18	(	(	PUNCT
ejpam-5409	248	19	ha	ha	INTJ
ejpam-5409	248	20	)	)	PUNCT
ejpam-5409	248	21	,	,	PUNCT
ejpam-5409	248	22	auto	auto	NOUN
ejpam-5409	248	23	regressive	regressive	ADJ
ejpam-5409	248	24	integrated	integrated	ADJ
ejpam-5409	248	25	moving	move	VERB
ejpam-5409	248	26	average	average	NOUN
ejpam-5409	248	27	(	(	PUNCT
ejpam-5409	248	28	arima	arima	PROPN
ejpam-5409	248	29	)	)	PUNCT
ejpam-5409	248	30	,	,	PUNCT
ejpam-5409	248	31	support	support	VERB
ejpam-5409	248	32	vector	vector	NOUN
ejpam-5409	248	33	regression	regression	NOUN
ejpam-5409	248	34	(	(	PUNCT
ejpam-5409	248	35	svr	svr	PROPN
ejpam-5409	248	36	)	)	PUNCT
ejpam-5409	248	37	,	,	PUNCT
ejpam-5409	248	38	graph	graph	NOUN
ejpam-5409	248	39	convolutions	convolution	NOUN
ejpam-5409	248	40	networks	network	NOUN
ejpam-5409	248	41	(	(	PUNCT
ejpam-5409	248	42	gcn	gcn	NOUN
ejpam-5409	248	43	)	)	PUNCT
ejpam-5409	248	44	,	,	PUNCT
ejpam-5409	248	45	gated	gate	VERB
ejpam-5409	248	46	recurrent	recurrent	ADJ
ejpam-5409	248	47	unit	unit	NOUN
ejpam-5409	248	48	(	(	PUNCT
ejpam-5409	248	49	gru	gru	PROPN
ejpam-5409	248	50	)	)	PUNCT
ejpam-5409	248	51	,	,	PUNCT
ejpam-5409	248	52	spatial	spatial	ADJ
ejpam-5409	248	53	temporal	temporal	ADJ
ejpam-5409	248	54	graph	graph	NOUN
ejpam-5409	248	55	neural	neural	ADJ
ejpam-5409	248	56	networks	network	NOUN
ejpam-5409	248	57	(	(	PUNCT
ejpam-5409	248	58	stgnn	stgnn	NOUN
ejpam-5409	248	59	)	)	PUNCT
ejpam-5409	248	60	can	can	AUX
ejpam-5409	248	61	be	be	AUX
ejpam-5409	248	62	seen	see	VERB
ejpam-5409	248	63	in	in	ADP
ejpam-5409	248	64	table	table	NOUN
ejpam-5409	248	65	1	1	NUM
ejpam-5409	248	66	and	and	CCONJ
ejpam-5409	248	67	table	table	NOUN
ejpam-5409	248	68	2	2	NUM
ejpam-5409	248	69	.	.	PUNCT
ejpam-5409	249	1	the	the	DET
ejpam-5409	249	2	stgnn	stgnn	PROPN
ejpam-5409	249	3	model	model	NOUN
ejpam-5409	249	4	also	also	ADV
ejpam-5409	249	5	shows	show	VERB
ejpam-5409	249	6	that	that	SCONJ
ejpam-5409	249	7	time	time	NOUN
ejpam-5409	249	8	series	series	PROPN
ejpam-5409	249	9	forecasting	forecast	VERB
ejpam-5409	249	10	for	for	ADP
ejpam-5409	249	11	6	6	NUM
ejpam-5409	249	12	,	,	PUNCT
ejpam-5409	249	13	12	12	NUM
ejpam-5409	249	14	,	,	PUNCT
ejpam-5409	249	15	18	18	NUM
ejpam-5409	249	16	,	,	PUNCT
ejpam-5409	249	17	24	24	NUM
ejpam-5409	249	18	days	day	NOUN
ejpam-5409	249	19	ahead	ahead	ADV
ejpam-5409	249	20	,	,	PUNCT
ejpam-5409	249	21	either	either	CCONJ
ejpam-5409	249	22	rmse	rmse	PROPN
ejpam-5409	249	23	,	,	PUNCT
ejpam-5409	249	24	mae	mae	PROPN
ejpam-5409	249	25	,	,	PUNCT
ejpam-5409	249	26	accuracy	accuracy	NOUN
ejpam-5409	249	27	and	and	CCONJ
ejpam-5409	249	28	r2	r2	PROPN
ejpam-5409	249	29	show	show	VERB
ejpam-5409	249	30	the	the	DET
ejpam-5409	249	31	best	good	ADJ
ejpam-5409	249	32	values	value	NOUN
ejpam-5409	249	33	compare	compare	VERB
ejpam-5409	249	34	with	with	ADP
ejpam-5409	249	35	other	other	ADJ
ejpam-5409	249	36	models	model	NOUN
ejpam-5409	249	37	.	.	PUNCT
ejpam-5409	250	1	the	the	DET
ejpam-5409	250	2	stgnn	stgnn	PROPN
ejpam-5409	250	3	model	model	PROPN
ejpam-5409	250	4	shows	show	VERB
ejpam-5409	250	5	the	the	DET
ejpam-5409	250	6	best	good	ADJ
ejpam-5409	250	7	forecasting	forecasting	NOUN
ejpam-5409	250	8	for	for	ADP
ejpam-5409	250	9	6	6	NUM
ejpam-5409	250	10	,	,	PUNCT
ejpam-5409	250	11	12	12	NUM
ejpam-5409	250	12	,	,	PUNCT
ejpam-5409	250	13	18	18	NUM
ejpam-5409	250	14	,	,	PUNCT
ejpam-5409	250	15	24	24	NUM
ejpam-5409	250	16	,	,	PUNCT
ejpam-5409	250	17	days	day	NOUN
ejpam-5409	250	18	ahead	ahead	ADV
ejpam-5409	250	19	,	,	PUNCT
ejpam-5409	250	20	both	both	PRON
ejpam-5409	250	21	rmse	rmse	PROPN
ejpam-5409	250	22	,	,	PUNCT
ejpam-5409	250	23	mae	mae	PROPN
ejpam-5409	250	24	,	,	PUNCT
ejpam-5409	250	25	accuracy	accuracy	NOUN
ejpam-5409	250	26	and	and	CCONJ
ejpam-5409	250	27	references	reference	NOUN
ejpam-5409	250	28	3368	3368	NUM
ejpam-5409	250	29	r2	r2	NOUN
ejpam-5409	250	30	.	.	PUNCT
ejpam-5409	251	1	it	it	PRON
ejpam-5409	251	2	also	also	ADV
ejpam-5409	251	3	shows	show	VERB
ejpam-5409	251	4	the	the	DET
ejpam-5409	251	5	best	good	ADJ
ejpam-5409	251	6	value	value	NOUN
ejpam-5409	251	7	of	of	ADP
ejpam-5409	251	8	stgnn	stgnn	NOUN
ejpam-5409	251	9	compared	compare	VERB
ejpam-5409	251	10	to	to	ADP
ejpam-5409	251	11	other	other	ADJ
ejpam-5409	251	12	models	model	NOUN
ejpam-5409	251	13	.	.	PUNCT
ejpam-5409	252	1	thus	thus	ADV
ejpam-5409	252	2	,	,	PUNCT
ejpam-5409	252	3	it	it	PRON
ejpam-5409	252	4	can	can	AUX
ejpam-5409	252	5	be	be	AUX
ejpam-5409	252	6	concluded	conclude	VERB
ejpam-5409	252	7	that	that	SCONJ
ejpam-5409	252	8	the	the	DET
ejpam-5409	252	9	stgnn	stgnn	NOUN
ejpam-5409	252	10	model	model	NOUN
ejpam-5409	252	11	can	can	AUX
ejpam-5409	252	12	be	be	AUX
ejpam-5409	252	13	used	use	VERB
ejpam-5409	252	14	to	to	PART
ejpam-5409	252	15	perform	perform	VERB
ejpam-5409	252	16	forecasting	forecasting	NOUN
ejpam-5409	252	17	and	and	CCONJ
ejpam-5409	252	18	monitoring	monitoring	NOUN
ejpam-5409	252	19	at	at	ADP
ejpam-5409	252	20	64	64	NUM
ejpam-5409	252	21	planting	planting	NOUN
ejpam-5409	252	22	vertices	vertex	NOUN
ejpam-5409	252	23	using	use	VERB
ejpam-5409	252	24	b−coloring	b−colore	VERB
ejpam-5409	252	25	.	.	PUNCT
ejpam-5409	253	1	4	4	X
ejpam-5409	253	2	.	.	X
ejpam-5409	253	3	concluding	conclude	VERB
ejpam-5409	253	4	remarks	remark	NOUN
ejpam-5409	253	5	in	in	ADP
ejpam-5409	253	6	this	this	DET
ejpam-5409	253	7	research	research	NOUN
ejpam-5409	253	8	,	,	PUNCT
ejpam-5409	253	9	we	we	PRON
ejpam-5409	253	10	have	have	AUX
ejpam-5409	253	11	studied	study	VERB
ejpam-5409	253	12	b−coloring	b−colore	VERB
ejpam-5409	253	13	of	of	ADP
ejpam-5409	253	14	graphs	graph	NOUN
ejpam-5409	253	15	.	.	PUNCT
ejpam-5409	254	1	we	we	PRON
ejpam-5409	254	2	have	have	AUX
ejpam-5409	254	3	determined	determine	VERB
ejpam-5409	254	4	the	the	DET
ejpam-5409	254	5	exact	exact	ADJ
ejpam-5409	254	6	value	value	NOUN
ejpam-5409	254	7	of	of	ADP
ejpam-5409	254	8	the	the	DET
ejpam-5409	254	9	b	b	NOUN
ejpam-5409	254	10	-	-	PUNCT
ejpam-5409	254	11	chromatic	chromatic	ADJ
ejpam-5409	254	12	number	number	NOUN
ejpam-5409	254	13	of	of	ADP
ejpam-5409	254	14	pn	pn	PROPN
ejpam-5409	254	15	▷v1	▷v1	PROPN
ejpam-5409	254	16	pm	pm	NOUN
ejpam-5409	254	17	graph	graph	NOUN
ejpam-5409	254	18	for	for	ADP
ejpam-5409	254	19	n	n	CCONJ
ejpam-5409	254	20	,	,	PUNCT
ejpam-5409	254	21	m	m	VERB
ejpam-5409	254	22	≥	≥	NOUN
ejpam-5409	254	23	8	8	NUM
ejpam-5409	254	24	and	and	CCONJ
ejpam-5409	254	25	ln	ln	ADJ
ejpam-5409	254	26	▷v1	▷v1	NOUN
ejpam-5409	254	27	pm	pm	NOUN
ejpam-5409	254	28	graph	graph	NOUN
ejpam-5409	254	29	for	for	ADP
ejpam-5409	254	30	n	n	CCONJ
ejpam-5409	254	31	,	,	PUNCT
ejpam-5409	254	32	m	m	VERB
ejpam-5409	254	33	≥	≥	NOUN
ejpam-5409	254	34	5	5	NUM
ejpam-5409	254	35	.	.	PUNCT
ejpam-5409	255	1	we	we	PRON
ejpam-5409	255	2	found	find	VERB
ejpam-5409	255	3	the	the	DET
ejpam-5409	255	4	b	b	NOUN
ejpam-5409	255	5	-	-	PUNCT
ejpam-5409	255	6	chromatic	chromatic	ADJ
ejpam-5409	255	7	numbers	number	NOUN
ejpam-5409	255	8	attain	attain	VERB
ejpam-5409	255	9	the	the	DET
ejpam-5409	255	10	best	good	ADJ
ejpam-5409	255	11	upper	upper	ADJ
ejpam-5409	255	12	bound	bind	VERB
ejpam-5409	255	13	.	.	PUNCT
ejpam-5409	256	1	however	however	ADV
ejpam-5409	256	2	,	,	PUNCT
ejpam-5409	256	3	since	since	SCONJ
ejpam-5409	256	4	there	there	PRON
ejpam-5409	256	5	is	be	VERB
ejpam-5409	256	6	currently	currently	ADV
ejpam-5409	256	7	little	little	ADJ
ejpam-5409	256	8	research	research	NOUN
ejpam-5409	256	9	on	on	ADP
ejpam-5409	256	10	the	the	DET
ejpam-5409	256	11	topic	topic	NOUN
ejpam-5409	256	12	of	of	ADP
ejpam-5409	256	13	b−coloring	b−coloring	NOUN
ejpam-5409	256	14	,	,	PUNCT
ejpam-5409	256	15	we	we	PRON
ejpam-5409	256	16	propose	propose	VERB
ejpam-5409	256	17	the	the	DET
ejpam-5409	256	18	open	open	ADJ
ejpam-5409	256	19	problem	problem	NOUN
ejpam-5409	256	20	.	.	PUNCT
ejpam-5409	257	1	find	find	VERB
ejpam-5409	257	2	the	the	DET
ejpam-5409	257	3	exact	exact	ADJ
ejpam-5409	257	4	values	value	NOUN
ejpam-5409	257	5	of	of	ADP
ejpam-5409	257	6	b−coloring	b−colore	VERB
ejpam-5409	257	7	on	on	ADP
ejpam-5409	257	8	other	other	ADJ
ejpam-5409	257	9	graphs	graph	NOUN
ejpam-5409	257	10	and	and	CCONJ
ejpam-5409	257	11	apply	apply	VERB
ejpam-5409	257	12	the	the	DET
ejpam-5409	257	13	obtained	obtain	VERB
ejpam-5409	257	14	results	result	NOUN
ejpam-5409	257	15	in	in	ADP
ejpam-5409	257	16	stgnn	stgnn	PROPN
ejpam-5409	257	17	time	time	PROPN
ejpam-5409	257	18	series	series	PROPN
ejpam-5409	257	19	forecasting	forecasting	PROPN
ejpam-5409	257	20	.	.	PUNCT
ejpam-5409	258	1	acknowledgements	acknowledgement	NOUN
ejpam-5409	258	2	we	we	PRON
ejpam-5409	258	3	gratefully	gratefully	ADV
ejpam-5409	258	4	acknowledge	acknowledge	VERB
ejpam-5409	258	5	the	the	DET
ejpam-5409	258	6	support	support	NOUN
ejpam-5409	258	7	from	from	ADP
ejpam-5409	258	8	pui	pui	PROPN
ejpam-5409	258	9	-	-	PUNCT
ejpam-5409	258	10	pt	pt	PROPN
ejpam-5409	258	11	combinatorics	combinatoric	NOUN
ejpam-5409	258	12	,	,	PUNCT
ejpam-5409	258	13	graph	graph	NOUN
ejpam-5409	258	14	theory	theory	NOUN
ejpam-5409	258	15	and	and	CCONJ
ejpam-5409	258	16	network	network	NOUN
ejpam-5409	258	17	topology	topology	NOUN
ejpam-5409	258	18	and	and	CCONJ
ejpam-5409	258	19	lp2	lp2	PROPN
ejpam-5409	258	20	m	m	PROPN
ejpam-5409	258	21	university	university	PROPN
ejpam-5409	258	22	of	of	ADP
ejpam-5409	258	23	jember	jember	PROPN
ejpam-5409	258	24	of	of	ADP
ejpam-5409	258	25	year	year	NOUN
ejpam-5409	258	26	2024	2024	NUM
ejpam-5409	258	27	.	.	PUNCT
ejpam-5409	259	1	references	reference	NOUN
ejpam-5409	259	2	[	[	X
ejpam-5409	259	3	1	1	NUM
ejpam-5409	259	4	]	]	PUNCT
ejpam-5409	259	5	k.	k.	PROPN
ejpam-5409	259	6	akalyadevi	akalyadevi	PROPN
ejpam-5409	259	7	and	and	CCONJ
ejpam-5409	259	8	a.	a.	PROPN
ejpam-5409	259	9	s.	s.	PROPN
ejpam-5409	259	10	ramaswamy	ramaswamy	PROPN
ejpam-5409	259	11	.	.	PUNCT
ejpam-5409	260	1	on	on	ADP
ejpam-5409	260	2	b	b	X
ejpam-5409	260	3	-	-	PUNCT
ejpam-5409	260	4	chromatic	chromatic	ADJ
ejpam-5409	260	5	number	number	NOUN
ejpam-5409	260	6	of	of	ADP
ejpam-5409	260	7	net	net	ADJ
ejpam-5409	260	8	graph	graph	NOUN
ejpam-5409	260	9	.	.	PUNCT
ejpam-5409	261	1	international	international	ADJ
ejpam-5409	261	2	journal	journal	PROPN
ejpam-5409	261	3	of	of	ADP
ejpam-5409	261	4	research	research	NOUN
ejpam-5409	261	5	and	and	CCONJ
ejpam-5409	261	6	analytical	analytical	ADJ
ejpam-5409	261	7	,	,	PUNCT
ejpam-5409	261	8	41	41	NUM
ejpam-5409	261	9	,	,	PUNCT
ejpam-5409	261	10	2019	2019	NUM
ejpam-5409	261	11	.	.	PUNCT
ejpam-5409	262	1	[	[	X
ejpam-5409	262	2	2	2	NUM
ejpam-5409	262	3	]	]	X
ejpam-5409	262	4	n.	n.	NOUN
ejpam-5409	262	5	ansari	ansari	PROPN
ejpam-5409	262	6	,	,	PUNCT
ejpam-5409	262	7	r.	r.	PROPN
ejpam-5409	262	8	s.	s.	PROPN
ejpam-5409	262	9	chandel	chandel	PROPN
ejpam-5409	262	10	,	,	PUNCT
ejpam-5409	262	11	and	and	CCONJ
ejpam-5409	262	12	r.	r.	PROPN
ejpam-5409	262	13	jamal	jamal	PROPN
ejpam-5409	262	14	.	.	PUNCT
ejpam-5409	263	1	the	the	DET
ejpam-5409	263	2	b	b	NOUN
ejpam-5409	263	3	-	-	PUNCT
ejpam-5409	263	4	chromatic	chromatic	ADJ
ejpam-5409	263	5	number	number	NOUN
ejpam-5409	263	6	of	of	ADP
ejpam-5409	263	7	helm	helm	NOUN
ejpam-5409	263	8	graph	graph	NOUN
ejpam-5409	263	9	.	.	PUNCT
ejpam-5409	264	1	international	international	ADJ
ejpam-5409	264	2	journal	journal	NOUN
ejpam-5409	264	3	of	of	ADP
ejpam-5409	264	4	advanced	advanced	ADJ
ejpam-5409	264	5	research	research	NOUN
ejpam-5409	264	6	in	in	ADP
ejpam-5409	264	7	computer	computer	NOUN
ejpam-5409	264	8	science	science	NOUN
ejpam-5409	264	9	,	,	PUNCT
ejpam-5409	264	10	8(7	8(7	NUM
ejpam-5409	264	11	)	)	PUNCT
ejpam-5409	264	12	,	,	PUNCT
ejpam-5409	264	13	2017	2017	NUM
ejpam-5409	264	14	.	.	PUNCT
ejpam-5409	265	1	[	[	X
ejpam-5409	265	2	3	3	X
ejpam-5409	265	3	]	]	X
ejpam-5409	265	4	nadeem	nadeem	ADJ
ejpam-5409	265	5	ansari	ansari	PROPN
ejpam-5409	265	6	,	,	PUNCT
ejpam-5409	265	7	rs	rs	PROPN
ejpam-5409	265	8	chandel	chandel	PROPN
ejpam-5409	265	9	,	,	PUNCT
ejpam-5409	265	10	and	and	CCONJ
ejpam-5409	265	11	rizwana	rizwana	PROPN
ejpam-5409	265	12	jamal	jamal	PROPN
ejpam-5409	265	13	.	.	PUNCT
ejpam-5409	266	1	on	on	ADP
ejpam-5409	266	2	b	b	X
ejpam-5409	266	3	-	-	PUNCT
ejpam-5409	266	4	chromatic	chromatic	ADJ
ejpam-5409	266	5	number	number	NOUN
ejpam-5409	266	6	of	of	ADP
ejpam-5409	266	7	prism	prism	NOUN
ejpam-5409	266	8	graph	graph	NOUN
ejpam-5409	266	9	families	family	NOUN
ejpam-5409	266	10	.	.	PUNCT
ejpam-5409	267	1	applications	application	NOUN
ejpam-5409	267	2	and	and	CCONJ
ejpam-5409	267	3	applied	apply	VERB
ejpam-5409	267	4	mathematics	mathematic	NOUN
ejpam-5409	267	5	:	:	PUNCT
ejpam-5409	267	6	an	an	DET
ejpam-5409	267	7	international	international	ADJ
ejpam-5409	267	8	journal	journal	NOUN
ejpam-5409	267	9	(	(	PUNCT
ejpam-5409	267	10	aam	aam	PROPN
ejpam-5409	267	11	)	)	PUNCT
ejpam-5409	267	12	,	,	PUNCT
ejpam-5409	267	13	13(1):20	13(1):20	NUM
ejpam-5409	267	14	,	,	PUNCT
ejpam-5409	267	15	2018	2018	NUM
ejpam-5409	267	16	.	.	PUNCT
ejpam-5409	268	1	[	[	X
ejpam-5409	268	2	4	4	NUM
ejpam-5409	268	3	]	]	SYM
ejpam-5409	268	4	rs	rs	PROPN
ejpam-5409	268	5	chandel	chandel	PROPN
ejpam-5409	268	6	,	,	PUNCT
ejpam-5409	268	7	rizwana	rizwana	PROPN
ejpam-5409	268	8	jamal	jamal	PROPN
ejpam-5409	268	9	,	,	PUNCT
ejpam-5409	268	10	and	and	CCONJ
ejpam-5409	268	11	nadeem	nadeem	PROPN
ejpam-5409	268	12	ansari	ansari	PROPN
ejpam-5409	268	13	.	.	PUNCT
ejpam-5409	269	1	the	the	DET
ejpam-5409	269	2	b	b	NOUN
ejpam-5409	269	3	-	-	PUNCT
ejpam-5409	269	4	chromatic	chromatic	ADJ
ejpam-5409	269	5	number	number	NOUN
ejpam-5409	269	6	of	of	ADP
ejpam-5409	269	7	ladder	ladder	NOUN
ejpam-5409	269	8	graph	graph	NOUN
ejpam-5409	269	9	.	.	PUNCT
ejpam-5409	270	1	jñ–an	jñ–an	ADJ
ejpam-5409	270	2	–	–	PUNCT
ejpam-5409	270	3	abha	abha	NOUN
ejpam-5409	270	4	,	,	PUNCT
ejpam-5409	270	5	page	page	NOUN
ejpam-5409	270	6	139	139	NUM
ejpam-5409	270	7	,	,	PUNCT
ejpam-5409	270	8	2017	2017	NUM
ejpam-5409	270	9	.	.	PUNCT
ejpam-5409	271	1	[	[	X
ejpam-5409	271	2	5	5	NUM
ejpam-5409	271	3	]	]	X
ejpam-5409	271	4	darmaji	darmaji	ADJ
ejpam-5409	271	5	darmaji	darmaji	NOUN
ejpam-5409	271	6	and	and	CCONJ
ejpam-5409	271	7	ridho	ridho	NOUN
ejpam-5409	271	8	alfarisi	alfarisi	PROPN
ejpam-5409	271	9	.	.	PUNCT
ejpam-5409	272	1	on	on	ADP
ejpam-5409	272	2	the	the	DET
ejpam-5409	272	3	partition	partition	NOUN
ejpam-5409	272	4	dimension	dimension	NOUN
ejpam-5409	272	5	of	of	ADP
ejpam-5409	272	6	comb	comb	NOUN
ejpam-5409	272	7	product	product	NOUN
ejpam-5409	272	8	of	of	ADP
ejpam-5409	272	9	path	path	NOUN
ejpam-5409	272	10	and	and	CCONJ
ejpam-5409	272	11	complete	complete	ADJ
ejpam-5409	272	12	graph	graph	NOUN
ejpam-5409	272	13	.	.	PUNCT
ejpam-5409	273	1	in	in	ADP
ejpam-5409	273	2	aip	aip	PROPN
ejpam-5409	273	3	conference	conference	NOUN
ejpam-5409	273	4	proceedings	proceeding	NOUN
ejpam-5409	273	5	,	,	PUNCT
ejpam-5409	273	6	volume	volume	NOUN
ejpam-5409	273	7	1867	1867	NUM
ejpam-5409	273	8	.	.	PUNCT
ejpam-5409	274	1	aip	aip	PROPN
ejpam-5409	274	2	publishing	publishing	PROPN
ejpam-5409	274	3	,	,	PUNCT
ejpam-5409	274	4	2017	2017	NUM
ejpam-5409	274	5	.	.	PUNCT
ejpam-5409	275	1	[	[	X
ejpam-5409	275	2	6	6	NUM
ejpam-5409	275	3	]	]	X
ejpam-5409	275	4	frank	frank	PROPN
ejpam-5409	275	5	harary	harary	PROPN
ejpam-5409	275	6	,	,	PUNCT
ejpam-5409	275	7	stephen	stephen	PROPN
ejpam-5409	275	8	hedetniemi	hedetniemi	PROPN
ejpam-5409	275	9	,	,	PUNCT
ejpam-5409	275	10	and	and	CCONJ
ejpam-5409	275	11	geert	geert	PROPN
ejpam-5409	275	12	prins	prin	NOUN
ejpam-5409	275	13	.	.	PUNCT
ejpam-5409	276	1	an	an	DET
ejpam-5409	276	2	interpolation	interpolation	NOUN
ejpam-5409	276	3	theorem	theorem	VERB
ejpam-5409	276	4	for	for	ADP
ejpam-5409	276	5	graphical	graphical	ADJ
ejpam-5409	276	6	homomorphisms	homomorphism	NOUN
ejpam-5409	276	7	.	.	PUNCT
ejpam-5409	277	1	portugal	portugal	PROPN
ejpam-5409	277	2	.	.	PROPN
ejpam-5409	277	3	math	math	PROPN
ejpam-5409	277	4	,	,	PUNCT
ejpam-5409	277	5	26:453–462	26:453–462	PROPN
ejpam-5409	277	6	,	,	PUNCT
ejpam-5409	277	7	1967	1967	NUM
ejpam-5409	277	8	.	.	PUNCT
ejpam-5409	278	1	[	[	X
ejpam-5409	278	2	7	7	X
ejpam-5409	278	3	]	]	X
ejpam-5409	278	4	robert	robert	PROPN
ejpam-5409	278	5	w	w	PROPN
ejpam-5409	278	6	irving	irving	PROPN
ejpam-5409	278	7	and	and	CCONJ
ejpam-5409	278	8	david	david	PROPN
ejpam-5409	278	9	f	f	PROPN
ejpam-5409	278	10	manlove	manlove	PROPN
ejpam-5409	278	11	.	.	PUNCT
ejpam-5409	279	1	the	the	DET
ejpam-5409	279	2	b	b	NOUN
ejpam-5409	279	3	-	-	PUNCT
ejpam-5409	279	4	chromatic	chromatic	ADJ
ejpam-5409	279	5	number	number	NOUN
ejpam-5409	279	6	of	of	ADP
ejpam-5409	279	7	a	a	DET
ejpam-5409	279	8	graph	graph	NOUN
ejpam-5409	279	9	.	.	PUNCT
ejpam-5409	280	1	discrete	discrete	ADJ
ejpam-5409	280	2	applied	apply	VERB
ejpam-5409	280	3	mathematics	mathematic	NOUN
ejpam-5409	280	4	,	,	PUNCT
ejpam-5409	280	5	91(1	91(1	NOUN
ejpam-5409	280	6	-	-	PUNCT
ejpam-5409	280	7	3):127–141	3):127–141	NUM
ejpam-5409	280	8	,	,	PUNCT
ejpam-5409	280	9	1999	1999	NUM
ejpam-5409	280	10	.	.	PUNCT
ejpam-5409	281	1	[	[	X
ejpam-5409	281	2	8	8	NUM
ejpam-5409	281	3	]	]	X
ejpam-5409	281	4	mekkia	mekkia	NOUN
ejpam-5409	281	5	kouider	kouider	NOUN
ejpam-5409	281	6	and	and	CCONJ
ejpam-5409	281	7	maryvonne	maryvonne	PROPN
ejpam-5409	281	8	mahéo	mahéo	NOUN
ejpam-5409	281	9	.	.	PUNCT
ejpam-5409	282	1	some	some	DET
ejpam-5409	282	2	bounds	bound	NOUN
ejpam-5409	282	3	for	for	ADP
ejpam-5409	282	4	the	the	DET
ejpam-5409	282	5	b	b	NOUN
ejpam-5409	282	6	-	-	PUNCT
ejpam-5409	282	7	chromatic	chromatic	ADJ
ejpam-5409	282	8	number	number	NOUN
ejpam-5409	282	9	of	of	ADP
ejpam-5409	282	10	a	a	DET
ejpam-5409	282	11	graph	graph	NOUN
ejpam-5409	282	12	.	.	PUNCT
ejpam-5409	282	13	discrete	discrete	ADJ
ejpam-5409	282	14	mathematics	mathematic	NOUN
ejpam-5409	282	15	,	,	PUNCT
ejpam-5409	282	16	256(1	256(1	NUM
ejpam-5409	282	17	-	-	PUNCT
ejpam-5409	282	18	2):267–277	2):267–277	NUM
ejpam-5409	282	19	,	,	PUNCT
ejpam-5409	282	20	2002	2002	NUM
ejpam-5409	282	21	.	.	PUNCT
ejpam-5409	283	1	references	reference	NOUN
ejpam-5409	283	2	3369	3369	NUM
ejpam-5409	284	1	[	[	X
ejpam-5409	284	2	9	9	NUM
ejpam-5409	284	3	]	]	SYM
ejpam-5409	284	4	r	r	NOUN
ejpam-5409	284	5	nagarathinam	nagarathinam	NOUN
ejpam-5409	284	6	and	and	CCONJ
ejpam-5409	284	7	n	n	PRON
ejpam-5409	284	8	parvathi	parvathi	NOUN
ejpam-5409	284	9	.	.	PUNCT
ejpam-5409	285	1	on	on	ADP
ejpam-5409	285	2	b	b	X
ejpam-5409	285	3	-	-	PUNCT
ejpam-5409	285	4	coloring	coloring	ADJ
ejpam-5409	285	5	line	line	NOUN
ejpam-5409	285	6	,	,	PUNCT
ejpam-5409	285	7	middle	middle	ADJ
ejpam-5409	285	8	and	and	CCONJ
ejpam-5409	285	9	total	total	ADJ
ejpam-5409	285	10	graph	graph	NOUN
ejpam-5409	285	11	of	of	ADP
ejpam-5409	285	12	tadpole	tadpole	NOUN
ejpam-5409	285	13	graph	graph	NOUN
ejpam-5409	285	14	.	.	PUNCT
ejpam-5409	286	1	in	in	ADP
ejpam-5409	286	2	aip	aip	PROPN
ejpam-5409	286	3	conference	conference	NOUN
ejpam-5409	286	4	proceedings	proceeding	NOUN
ejpam-5409	286	5	,	,	PUNCT
ejpam-5409	286	6	volume	volume	NOUN
ejpam-5409	286	7	2277	2277	NUM
ejpam-5409	286	8	.	.	PUNCT
ejpam-5409	287	1	aip	aip	PROPN
ejpam-5409	287	2	publishing	publishing	PROPN
ejpam-5409	287	3	,	,	PUNCT
ejpam-5409	287	4	2020	2020	NUM
ejpam-5409	287	5	.	.	PUNCT
ejpam-5409	288	1	[	[	X
ejpam-5409	288	2	10	10	NUM
ejpam-5409	288	3	]	]	X
ejpam-5409	288	4	r	r	NOUN
ejpam-5409	288	5	nagarathinam	nagarathinam	NOUN
ejpam-5409	288	6	and	and	CCONJ
ejpam-5409	288	7	n	n	PRON
ejpam-5409	288	8	parvathi	parvathi	NOUN
ejpam-5409	288	9	.	.	PUNCT
ejpam-5409	289	1	b	b	X
ejpam-5409	289	2	-	-	PUNCT
ejpam-5409	289	3	coloring	coloring	NOUN
ejpam-5409	289	4	on	on	ADP
ejpam-5409	289	5	graph	graph	NOUN
ejpam-5409	289	6	operators	operator	NOUN
ejpam-5409	289	7	.	.	PUNCT
ejpam-5409	290	1	in	in	ADP
ejpam-5409	290	2	journal	journal	PROPN
ejpam-5409	290	3	of	of	ADP
ejpam-5409	290	4	physics	physics	PROPN
ejpam-5409	290	5	:	:	PUNCT
ejpam-5409	290	6	conference	conference	NOUN
ejpam-5409	290	7	series	series	NOUN
ejpam-5409	290	8	,	,	PUNCT
ejpam-5409	290	9	volume	volume	NOUN
ejpam-5409	290	10	1850	1850	NUM
ejpam-5409	290	11	,	,	PUNCT
ejpam-5409	290	12	page	page	NOUN
ejpam-5409	290	13	012080	012080	NUM
ejpam-5409	290	14	.	.	PUNCT
ejpam-5409	291	1	iop	iop	PROPN
ejpam-5409	291	2	publishing	publishing	NOUN
ejpam-5409	291	3	,	,	PUNCT
ejpam-5409	291	4	2021	2021	NUM
ejpam-5409	291	5	.	.	PUNCT
ejpam-5409	292	1	[	[	X
ejpam-5409	292	2	11	11	NUM
ejpam-5409	292	3	]	]	X
ejpam-5409	292	4	nk	nk	PROPN
ejpam-5409	292	5	sudev	sudev	PROPN
ejpam-5409	292	6	,	,	PUNCT
ejpam-5409	292	7	kp	kp	PROPN
ejpam-5409	292	8	chithra	chithra	PROPN
ejpam-5409	292	9	,	,	PUNCT
ejpam-5409	292	10	and	and	CCONJ
ejpam-5409	292	11	johan	johan	PROPN
ejpam-5409	292	12	kok	kok	PROPN
ejpam-5409	292	13	.	.	PUNCT
ejpam-5409	293	1	some	some	DET
ejpam-5409	293	2	results	result	NOUN
ejpam-5409	293	3	on	on	ADP
ejpam-5409	293	4	the	the	DET
ejpam-5409	293	5	b	b	NOUN
ejpam-5409	293	6	-	-	PUNCT
ejpam-5409	293	7	colouring	colour	VERB
ejpam-5409	293	8	parameters	parameter	NOUN
ejpam-5409	293	9	of	of	ADP
ejpam-5409	293	10	graphs	graph	NOUN
ejpam-5409	293	11	.	.	PUNCT
ejpam-5409	294	1	arxiv	arxiv	PROPN
ejpam-5409	294	2	preprint	preprint	VERB
ejpam-5409	294	3	arxiv:1707.00140	arxiv:1707.00140	PROPN
ejpam-5409	294	4	,	,	PUNCT
ejpam-5409	294	5	2017	2017	NUM
ejpam-5409	294	6	.	.	PUNCT
ejpam-5409	295	1	[	[	X
ejpam-5409	295	2	12	12	NUM
ejpam-5409	295	3	]	]	X
ejpam-5409	295	4	j	j	PROPN
ejpam-5409	295	5	vernold	vernold	PROPN
ejpam-5409	295	6	vivin	vivin	PROPN
ejpam-5409	295	7	and	and	CCONJ
ejpam-5409	295	8	m	m	PROPN
ejpam-5409	295	9	vekatachalam	vekatachalam	NOUN
ejpam-5409	295	10	.	.	PUNCT
ejpam-5409	296	1	on	on	ADP
ejpam-5409	296	2	b	b	X
ejpam-5409	296	3	-	-	PUNCT
ejpam-5409	296	4	chromatic	chromatic	ADJ
ejpam-5409	296	5	number	number	NOUN
ejpam-5409	296	6	of	of	ADP
ejpam-5409	296	7	sun	sun	NOUN
ejpam-5409	296	8	let	let	VERB
ejpam-5409	296	9	graph	graph	NOUN
ejpam-5409	296	10	and	and	CCONJ
ejpam-5409	296	11	wheel	wheel	NOUN
ejpam-5409	296	12	graph	graph	NOUN
ejpam-5409	296	13	families	family	NOUN
ejpam-5409	296	14	.	.	PUNCT
ejpam-5409	297	1	journal	journal	NOUN
ejpam-5409	297	2	of	of	ADP
ejpam-5409	297	3	the	the	DET
ejpam-5409	297	4	egyptian	egyptian	PROPN
ejpam-5409	297	5	mathematical	mathematical	PROPN
ejpam-5409	297	6	society	society	NOUN
ejpam-5409	297	7	,	,	PUNCT
ejpam-5409	297	8	23(2):215–218	23(2):215–218	NOUN
ejpam-5409	297	9	,	,	PUNCT
ejpam-5409	297	10	2015	2015	NUM
ejpam-5409	297	11	.	.	PUNCT