id	sid	tid	token	lemma	pos
cana-1479	1	1	communications	communication	NOUN
cana-1479	1	2	on	on	ADP
cana-1479	1	3	applied	apply	VERB
cana-1479	1	4	nonlinear	nonlinear	ADJ
cana-1479	1	5	analysis	analysis	NOUN
cana-1479	1	6	issn	issn	NOUN
cana-1479	1	7	:	:	PUNCT
cana-1479	1	8	1074	1074	NUM
cana-1479	1	9	-	-	PUNCT
cana-1479	1	10	133x	133x	NUM
cana-1479	1	11	vol	vol	NOUN
cana-1479	1	12	31	31	NUM
cana-1479	1	13	no	no	NOUN
cana-1479	1	14	.	.	PUNCT
cana-1479	2	1	8s	8s	PROPN
cana-1479	2	2	(	(	PUNCT
cana-1479	2	3	2024	2024	NUM
cana-1479	2	4	)	)	PUNCT
cana-1479	2	5	248	248	NUM
cana-1479	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1479	2	7	applications	application	NOUN
cana-1479	2	8	of	of	ADP
cana-1479	2	9	chromatic	chromatic	ADJ
cana-1479	2	10	numbers	number	NOUN
cana-1479	2	11	in	in	ADP
cana-1479	2	12	traffic	traffic	NOUN
cana-1479	2	13	control	control	NOUN
cana-1479	2	14	problems	problem	NOUN
cana-1479	2	15	shakera	shakera	VERB
cana-1479	2	16	tanveer	tanveer	PROPN
cana-1479	2	17	*	*	PROPN
cana-1479	2	18	*	*	PUNCT
cana-1479	2	19	department	department	PROPN
cana-1479	2	20	of	of	ADP
cana-1479	2	21	mathematics	mathematic	NOUN
cana-1479	2	22	,	,	PUNCT
cana-1479	2	23	government	government	NOUN
cana-1479	2	24	first	first	ADJ
cana-1479	2	25	grade	grade	NOUN
cana-1479	2	26	college	college	NOUN
cana-1479	2	27	,	,	PUNCT
cana-1479	2	28	sedam-585222	sedam-585222	NOUN
cana-1479	2	29	,	,	PUNCT
cana-1479	2	30	dist	dist	NOUN
cana-1479	2	31	.	.	PUNCT
cana-1479	3	1	kalaburagi	kalaburagi	PROPN
cana-1479	3	2	,	,	PUNCT
cana-1479	3	3	karnataka	karnataka	NOUN
cana-1479	3	4	article	article	NOUN
cana-1479	3	5	history	history	NOUN
cana-1479	3	6	:	:	PUNCT
cana-1479	3	7	received	receive	VERB
cana-1479	3	8	:	:	PUNCT
cana-1479	3	9	26	26	NUM
cana-1479	3	10	-	-	PUNCT
cana-1479	3	11	04	04	NUM
cana-1479	3	12	-	-	PUNCT
cana-1479	3	13	2024	2024	NUM
cana-1479	3	14	revised	revise	VERB
cana-1479	3	15	:	:	PUNCT
cana-1479	3	16	15	15	NUM
cana-1479	3	17	-	-	SYM
cana-1479	3	18	06	06	NUM
cana-1479	3	19	-	-	PUNCT
cana-1479	3	20	2024	2024	NUM
cana-1479	3	21	accepted	accept	VERB
cana-1479	3	22	:	:	PUNCT
cana-1479	3	23	29	29	NUM
cana-1479	3	24	-	-	SYM
cana-1479	3	25	06	06	NUM
cana-1479	3	26	-	-	PUNCT
cana-1479	3	27	2024	2024	NUM
cana-1479	3	28	abstract	abstract	NOUN
cana-1479	3	29	:	:	PUNCT
cana-1479	3	30	the	the	DET
cana-1479	3	31	primary	primary	ADJ
cana-1479	3	32	objective	objective	NOUN
cana-1479	3	33	of	of	ADP
cana-1479	3	34	this	this	DET
cana-1479	3	35	work	work	NOUN
cana-1479	3	36	is	be	AUX
cana-1479	3	37	to	to	PART
cana-1479	3	38	illustrate	illustrate	VERB
cana-1479	3	39	the	the	DET
cana-1479	3	40	application	application	NOUN
cana-1479	3	41	of	of	ADP
cana-1479	3	42	chromatic	chromatic	ADJ
cana-1479	3	43	numbers	number	NOUN
cana-1479	3	44	in	in	ADP
cana-1479	3	45	traffic	traffic	NOUN
cana-1479	3	46	control	control	NOUN
cana-1479	3	47	problems	problem	NOUN
cana-1479	3	48	.	.	PUNCT
cana-1479	4	1	it	it	PRON
cana-1479	4	2	is	be	AUX
cana-1479	4	3	simple	simple	ADJ
cana-1479	4	4	to	to	PART
cana-1479	4	5	depict	depict	VERB
cana-1479	4	6	most	most	ADJ
cana-1479	4	7	traffic	traffic	NOUN
cana-1479	4	8	lanes	lane	NOUN
cana-1479	4	9	as	as	ADP
cana-1479	4	10	graphs	graph	NOUN
cana-1479	4	11	with	with	ADP
cana-1479	4	12	points	point	NOUN
cana-1479	4	13	(	(	PUNCT
cana-1479	4	14	vertices	vertex	NOUN
cana-1479	4	15	)	)	PUNCT
cana-1479	4	16	and	and	CCONJ
cana-1479	4	17	lines	line	NOUN
cana-1479	4	18	(	(	PUNCT
cana-1479	4	19	edges	edge	NOUN
cana-1479	4	20	)	)	PUNCT
cana-1479	4	21	.	.	PUNCT
cana-1479	5	1	in	in	ADP
cana-1479	5	2	order	order	NOUN
cana-1479	5	3	to	to	PART
cana-1479	5	4	determine	determine	VERB
cana-1479	5	5	the	the	DET
cana-1479	5	6	minimum	minimum	ADJ
cana-1479	5	7	number	number	NOUN
cana-1479	5	8	of	of	ADP
cana-1479	5	9	phases	phase	NOUN
cana-1479	5	10	needed	need	VERB
cana-1479	5	11	for	for	ADP
cana-1479	5	12	the	the	DET
cana-1479	5	13	traffic	traffic	NOUN
cana-1479	5	14	light	light	NOUN
cana-1479	5	15	to	to	PART
cana-1479	5	16	allow	allow	VERB
cana-1479	5	17	all	all	DET
cana-1479	5	18	cars	car	NOUN
cana-1479	5	19	to	to	PART
cana-1479	5	20	pass	pass	VERB
cana-1479	5	21	through	through	ADP
cana-1479	5	22	the	the	DET
cana-1479	5	23	intersection	intersection	NOUN
cana-1479	5	24	during	during	ADP
cana-1479	5	25	a	a	DET
cana-1479	5	26	specific	specific	ADJ
cana-1479	5	27	phase	phase	NOUN
cana-1479	5	28	of	of	ADP
cana-1479	5	29	the	the	DET
cana-1479	5	30	light	light	NOUN
cana-1479	5	31	and	and	CCONJ
cana-1479	5	32	those	those	PRON
cana-1479	5	33	in	in	ADP
cana-1479	5	34	lanes	lane	NOUN
cana-1479	5	35	where	where	SCONJ
cana-1479	5	36	the	the	DET
cana-1479	5	37	light	light	NOUN
cana-1479	5	38	is	be	AUX
cana-1479	5	39	green	green	ADJ
cana-1479	5	40	to	to	PART
cana-1479	5	41	pass	pass	VERB
cana-1479	5	42	through	through	ADP
cana-1479	5	43	the	the	DET
cana-1479	5	44	intersection	intersection	NOUN
cana-1479	5	45	safely	safely	ADV
cana-1479	5	46	,	,	PUNCT
cana-1479	5	47	this	this	DET
cana-1479	5	48	article	article	NOUN
cana-1479	5	49	uses	use	VERB
cana-1479	5	50	three	three	NUM
cana-1479	5	51	examples	example	NOUN
cana-1479	5	52	of	of	ADP
cana-1479	5	53	traffic	traffic	NOUN
cana-1479	5	54	lanes	lane	NOUN
cana-1479	5	55	to	to	PART
cana-1479	5	56	demonstrate	demonstrate	VERB
cana-1479	5	57	how	how	SCONJ
cana-1479	5	58	chromatic	chromatic	ADJ
cana-1479	5	59	number	number	NOUN
cana-1479	5	60	can	can	AUX
cana-1479	5	61	be	be	AUX
cana-1479	5	62	applied	apply	VERB
cana-1479	5	63	effectively	effectively	ADV
cana-1479	5	64	to	to	ADP
cana-1479	5	65	traffic	traffic	NOUN
cana-1479	5	66	management	management	NOUN
cana-1479	5	67	problems	problem	NOUN
cana-1479	5	68	.	.	PUNCT
cana-1479	6	1	keywords	keyword	NOUN
cana-1479	6	2	:	:	PUNCT
cana-1479	6	3	graph	graph	NOUN
cana-1479	6	4	theory	theory	NOUN
cana-1479	6	5	,	,	PUNCT
cana-1479	6	6	chromatic	chromatic	ADJ
cana-1479	6	7	number	number	NOUN
cana-1479	6	8	,	,	PUNCT
cana-1479	6	9	traffic	traffic	NOUN
cana-1479	6	10	control	control	NOUN
cana-1479	6	11	problem	problem	NOUN
cana-1479	6	12	,	,	PUNCT
cana-1479	6	13	modelling	modelling	NOUN
cana-1479	6	14	.	.	PUNCT
cana-1479	7	1	1	1	X
cana-1479	7	2	.	.	X
cana-1479	7	3	introduction	introduction	NOUN
cana-1479	7	4	these	these	DET
cana-1479	7	5	days	day	NOUN
cana-1479	7	6	,	,	PUNCT
cana-1479	7	7	graph	graph	NOUN
cana-1479	7	8	theory	theory	NOUN
cana-1479	7	9	is	be	AUX
cana-1479	7	10	widely	widely	ADV
cana-1479	7	11	applied	apply	VERB
cana-1479	7	12	in	in	ADP
cana-1479	7	13	all	all	DET
cana-1479	7	14	areas	area	NOUN
cana-1479	7	15	of	of	ADP
cana-1479	7	16	research	research	NOUN
cana-1479	7	17	and	and	CCONJ
cana-1479	7	18	technology	technology	NOUN
cana-1479	7	19	.	.	PUNCT
cana-1479	8	1	numerous	numerous	ADJ
cana-1479	8	2	other	other	ADJ
cana-1479	8	3	fields	field	NOUN
cana-1479	8	4	,	,	PUNCT
cana-1479	8	5	such	such	ADJ
cana-1479	8	6	as	as	ADP
cana-1479	8	7	biology	biology	NOUN
cana-1479	8	8	,	,	PUNCT
cana-1479	8	9	sociology	sociology	NOUN
cana-1479	8	10	,	,	PUNCT
cana-1479	8	11	computer	computer	NOUN
cana-1479	8	12	science	science	NOUN
cana-1479	8	13	(	(	PUNCT
cana-1479	8	14	computers	computer	NOUN
cana-1479	8	15	and	and	CCONJ
cana-1479	8	16	algorithms	algorithm	NOUN
cana-1479	8	17	)	)	PUNCT
cana-1479	8	18	,	,	PUNCT
cana-1479	8	19	operations	operation	NOUN
cana-1479	8	20	research	research	NOUN
cana-1479	8	21	(	(	PUNCT
cana-1479	8	22	scheduling	scheduling	NOUN
cana-1479	8	23	)	)	PUNCT
cana-1479	8	24	,	,	PUNCT
cana-1479	8	25	and	and	CCONJ
cana-1479	8	26	biochemistry	biochemistry	NOUN
cana-1479	8	27	(	(	PUNCT
cana-1479	8	28	genomics	genomics	PROPN
cana-1479	8	29	)	)	PUNCT
cana-1479	8	30	,	,	PUNCT
cana-1479	8	31	also	also	ADV
cana-1479	8	32	frequently	frequently	ADV
cana-1479	8	33	use	use	VERB
cana-1479	8	34	it	it	PRON
cana-1479	8	35	.	.	PUNCT
cana-1479	9	1	this	this	PRON
cana-1479	9	2	is	be	AUX
cana-1479	9	3	due	due	ADJ
cana-1479	9	4	to	to	ADP
cana-1479	9	5	its	its	PRON
cana-1479	9	6	widespread	widespread	ADJ
cana-1479	9	7	usage	usage	NOUN
cana-1479	9	8	in	in	ADP
cana-1479	9	9	electrical	electrical	ADJ
cana-1479	9	10	engineering	engineering	NOUN
cana-1479	9	11	as	as	ADV
cana-1479	9	12	well	well	ADV
cana-1479	9	13	.	.	PUNCT
cana-1479	10	1	in	in	ADP
cana-1479	10	2	chemistry	chemistry	NOUN
cana-1479	10	3	,	,	PUNCT
cana-1479	10	4	it	it	PRON
cana-1479	10	5	encompasses	encompass	VERB
cana-1479	10	6	the	the	DET
cana-1479	10	7	study	study	NOUN
cana-1479	10	8	of	of	ADP
cana-1479	10	9	atoms	atom	NOUN
cana-1479	10	10	,	,	PUNCT
cana-1479	10	11	molecules	molecule	NOUN
cana-1479	10	12	,	,	PUNCT
cana-1479	10	13	and	and	CCONJ
cana-1479	10	14	bond	bond	NOUN
cana-1479	10	15	formation	formation	NOUN
cana-1479	10	16	.	.	PUNCT
cana-1479	11	1	resource	resource	NOUN
cana-1479	11	2	allocation	allocation	NOUN
cana-1479	11	3	and	and	CCONJ
cana-1479	11	4	scheduling	scheduling	NOUN
cana-1479	11	5	are	be	AUX
cana-1479	11	6	the	the	DET
cana-1479	11	7	two	two	NUM
cana-1479	11	8	most	most	ADV
cana-1479	11	9	important	important	ADJ
cana-1479	11	10	uses	use	NOUN
cana-1479	11	11	of	of	ADP
cana-1479	11	12	graph	graph	NOUN
cana-1479	11	13	colouring	colouring	NOUN
cana-1479	11	14	;	;	PUNCT
cana-1479	11	15	a	a	DET
cana-1479	11	16	lengthy	lengthy	ADJ
cana-1479	11	17	list	list	NOUN
cana-1479	11	18	of	of	ADP
cana-1479	11	19	other	other	ADJ
cana-1479	11	20	uses	use	NOUN
cana-1479	11	21	is	be	AUX
cana-1479	11	22	given	give	VERB
cana-1479	11	23	in	in	ADP
cana-1479	11	24	[	[	PUNCT
cana-1479	11	25	5	5	NUM
cana-1479	11	26	to	to	PART
cana-1479	11	27	9	9	NUM
cana-1479	11	28	]	]	PUNCT
cana-1479	11	29	.	.	PUNCT
cana-1479	12	1	graph	graph	NOUN
cana-1479	12	2	theory	theory	NOUN
cana-1479	12	3	's	's	PART
cana-1479	12	4	paths	path	NOUN
cana-1479	12	5	,	,	PUNCT
cana-1479	12	6	walks	walk	NOUN
cana-1479	12	7	,	,	PUNCT
cana-1479	12	8	and	and	CCONJ
cana-1479	12	9	circuits	circuit	NOUN
cana-1479	12	10	are	be	AUX
cana-1479	12	11	also	also	ADV
cana-1479	12	12	used	use	VERB
cana-1479	12	13	in	in	ADP
cana-1479	12	14	a	a	DET
cana-1479	12	15	wide	wide	ADJ
cana-1479	12	16	range	range	NOUN
cana-1479	12	17	of	of	ADP
cana-1479	12	18	applications	application	NOUN
cana-1479	12	19	,	,	PUNCT
cana-1479	12	20	such	such	ADJ
cana-1479	12	21	as	as	ADP
cana-1479	12	22	resource	resource	NOUN
cana-1479	12	23	networking	networking	NOUN
cana-1479	12	24	,	,	PUNCT
cana-1479	12	25	database	database	NOUN
cana-1479	12	26	design	design	NOUN
cana-1479	12	27	concepts	concept	NOUN
cana-1479	12	28	,	,	PUNCT
cana-1479	12	29	and	and	CCONJ
cana-1479	12	30	the	the	DET
cana-1479	12	31	travelling	travel	VERB
cana-1479	12	32	salesman	salesman	NOUN
cana-1479	12	33	problem	problem	NOUN
cana-1479	12	34	.	.	PUNCT
cana-1479	13	1	new	new	ADJ
cana-1479	13	2	techniques	technique	NOUN
cana-1479	13	3	and	and	CCONJ
cana-1479	13	4	theorems	theorem	NOUN
cana-1479	13	5	with	with	ADP
cana-1479	13	6	a	a	DET
cana-1479	13	7	wide	wide	ADJ
cana-1479	13	8	range	range	NOUN
cana-1479	13	9	of	of	ADP
cana-1479	13	10	applications	application	NOUN
cana-1479	13	11	are	be	AUX
cana-1479	13	12	therefore	therefore	ADV
cana-1479	13	13	produced	produce	VERB
cana-1479	13	14	[	[	PUNCT
cana-1479	13	15	1	1	NUM
cana-1479	13	16	]	]	PUNCT
cana-1479	13	17	.	.	PUNCT
cana-1479	14	1	graph	graph	NOUN
cana-1479	14	2	theoretic	theoretic	ADJ
cana-1479	14	3	methods	method	NOUN
cana-1479	14	4	such	such	ADJ
cana-1479	14	5	as	as	ADP
cana-1479	14	6	edge	edge	NOUN
cana-1479	14	7	and	and	CCONJ
cana-1479	14	8	vertex	vertex	NOUN
cana-1479	14	9	connectivity	connectivity	NOUN
cana-1479	14	10	are	be	AUX
cana-1479	14	11	used	use	VERB
cana-1479	14	12	to	to	PART
cana-1479	14	13	study	study	VERB
cana-1479	14	14	problems	problem	NOUN
cana-1479	14	15	related	relate	VERB
cana-1479	14	16	to	to	ADP
cana-1479	14	17	traffic	traffic	NOUN
cana-1479	14	18	control	control	NOUN
cana-1479	14	19	at	at	ADP
cana-1479	14	20	crossings	crossing	NOUN
cana-1479	14	21	.	.	PUNCT
cana-1479	15	1	there	there	PRON
cana-1479	15	2	are	be	VERB
cana-1479	15	3	more	more	ADJ
cana-1479	15	4	cars	car	NOUN
cana-1479	15	5	on	on	ADP
cana-1479	15	6	the	the	DET
cana-1479	15	7	road	road	NOUN
cana-1479	15	8	,	,	PUNCT
cana-1479	15	9	which	which	PRON
cana-1479	15	10	increases	increase	VERB
cana-1479	15	11	participant	participant	ADJ
cana-1479	15	12	time	time	NOUN
cana-1479	15	13	losses	loss	NOUN
cana-1479	15	14	,	,	PUNCT
cana-1479	15	15	noise	noise	NOUN
cana-1479	15	16	and	and	CCONJ
cana-1479	15	17	environmental	environmental	ADJ
cana-1479	15	18	pollution	pollution	NOUN
cana-1479	15	19	,	,	PUNCT
cana-1479	15	20	and	and	CCONJ
cana-1479	15	21	the	the	DET
cana-1479	15	22	frequency	frequency	NOUN
cana-1479	15	23	of	of	ADP
cana-1479	15	24	traffic	traffic	NOUN
cana-1479	15	25	accidents	accident	NOUN
cana-1479	15	26	.	.	PUNCT
cana-1479	16	1	this	this	PRON
cana-1479	16	2	is	be	AUX
cana-1479	16	3	a	a	DET
cana-1479	16	4	result	result	NOUN
cana-1479	16	5	of	of	ADP
cana-1479	16	6	significant	significant	ADJ
cana-1479	16	7	population	population	NOUN
cana-1479	16	8	expansion	expansion	NOUN
cana-1479	16	9	and	and	CCONJ
cana-1479	16	10	the	the	DET
cana-1479	16	11	urbanisation	urbanisation	NOUN
cana-1479	16	12	of	of	ADP
cana-1479	16	13	small	small	ADJ
cana-1479	16	14	towns	town	NOUN
cana-1479	16	15	and	and	CCONJ
cana-1479	16	16	cities	city	NOUN
cana-1479	16	17	.	.	PUNCT
cana-1479	17	1	traffic	traffic	NOUN
cana-1479	17	2	congestion	congestion	NOUN
cana-1479	17	3	is	be	AUX
cana-1479	17	4	a	a	DET
cana-1479	17	5	major	major	ADJ
cana-1479	17	6	hindrance	hindrance	NOUN
cana-1479	17	7	to	to	ADP
cana-1479	17	8	the	the	DET
cana-1479	17	9	growth	growth	NOUN
cana-1479	17	10	of	of	ADP
cana-1479	17	11	several	several	ADJ
cana-1479	17	12	urban	urban	ADJ
cana-1479	17	13	regions	region	NOUN
cana-1479	17	14	,	,	PUNCT
cana-1479	17	15	impacting	impact	VERB
cana-1479	17	16	millions	million	NOUN
cana-1479	17	17	of	of	ADP
cana-1479	17	18	people	people	NOUN
cana-1479	17	19	.	.	PUNCT
cana-1479	18	1	although	although	SCONJ
cana-1479	18	2	constructing	construct	VERB
cana-1479	18	3	more	more	ADJ
cana-1479	18	4	roads	road	NOUN
cana-1479	18	5	could	could	AUX
cana-1479	18	6	improve	improve	VERB
cana-1479	18	7	the	the	DET
cana-1479	18	8	problem	problem	NOUN
cana-1479	18	9	,	,	PUNCT
cana-1479	18	10	given	give	VERB
cana-1479	18	11	the	the	DET
cana-1479	18	12	current	current	ADJ
cana-1479	18	13	infrastructure	infrastructure	NOUN
cana-1479	18	14	,	,	PUNCT
cana-1479	18	15	doing	do	VERB
cana-1479	18	16	so	so	ADV
cana-1479	18	17	would	would	AUX
cana-1479	18	18	be	be	AUX
cana-1479	18	19	extremely	extremely	ADV
cana-1479	18	20	costly	costly	ADJ
cana-1479	18	21	and	and	CCONJ
cana-1479	18	22	frequently	frequently	ADV
cana-1479	18	23	unfeasible	unfeasible	ADJ
cana-1479	18	24	.	.	PUNCT
cana-1479	19	1	enhancing	enhance	VERB
cana-1479	19	2	the	the	DET
cana-1479	19	3	utilization	utilization	NOUN
cana-1479	19	4	of	of	ADP
cana-1479	19	5	the	the	DET
cana-1479	19	6	current	current	ADJ
cana-1479	19	7	road	road	NOUN
cana-1479	19	8	network	network	NOUN
cana-1479	19	9	is	be	AUX
cana-1479	19	10	the	the	DET
cana-1479	19	11	sole	sole	ADJ
cana-1479	19	12	solution	solution	NOUN
cana-1479	19	13	for	for	ADP
cana-1479	19	14	traffic	traffic	NOUN
cana-1479	19	15	flow	flow	NOUN
cana-1479	19	16	management	management	NOUN
cana-1479	19	17	in	in	ADP
cana-1479	19	18	this	this	DET
cana-1479	19	19	kind	kind	NOUN
cana-1479	19	20	of	of	ADP
cana-1479	19	21	situation	situation	NOUN
cana-1479	19	22	.	.	PUNCT
cana-1479	20	1	in	in	ADP
cana-1479	20	2	order	order	NOUN
cana-1479	20	3	to	to	PART
cana-1479	20	4	minimize	minimize	VERB
cana-1479	20	5	waiting	waiting	NOUN
cana-1479	20	6	times	time	NOUN
cana-1479	20	7	for	for	ADP
cana-1479	20	8	traffic	traffic	NOUN
cana-1479	20	9	participants	participant	NOUN
cana-1479	20	10	,	,	PUNCT
cana-1479	20	11	this	this	DET
cana-1479	20	12	study	study	NOUN
cana-1479	20	13	addresses	address	VERB
cana-1479	20	14	the	the	DET
cana-1479	20	15	application	application	NOUN
cana-1479	20	16	of	of	ADP
cana-1479	20	17	chromatic	chromatic	ADJ
cana-1479	20	18	numbers	number	NOUN
cana-1479	20	19	in	in	ADP
cana-1479	20	20	traffic	traffic	NOUN
cana-1479	20	21	control	control	NOUN
cana-1479	20	22	problems	problem	NOUN
cana-1479	20	23	at	at	ADP
cana-1479	20	24	junctions	junction	NOUN
cana-1479	20	25	.	.	PUNCT
cana-1479	21	1	communications	communication	NOUN
cana-1479	21	2	on	on	ADP
cana-1479	21	3	applied	apply	VERB
cana-1479	21	4	nonlinear	nonlinear	ADJ
cana-1479	21	5	analysis	analysis	NOUN
cana-1479	21	6	issn	issn	NOUN
cana-1479	21	7	:	:	PUNCT
cana-1479	21	8	1074	1074	NUM
cana-1479	21	9	-	-	PUNCT
cana-1479	21	10	133x	133x	NUM
cana-1479	21	11	vol	vol	NOUN
cana-1479	21	12	31	31	NUM
cana-1479	21	13	no	no	NOUN
cana-1479	21	14	.	.	PUNCT
cana-1479	22	1	8s	8s	PROPN
cana-1479	22	2	(	(	PUNCT
cana-1479	22	3	2024	2024	NUM
cana-1479	22	4	)	)	PUNCT
cana-1479	22	5	249	249	NUM
cana-1479	22	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1479	22	7	2	2	NUM
cana-1479	22	8	.	.	PUNCT
cana-1479	22	9	preliminaries	preliminary	NOUN
cana-1479	22	10	:	:	PUNCT
cana-1479	22	11	modelling	model	VERB
cana-1479	22	12	the	the	DET
cana-1479	22	13	traffic	traffic	NOUN
cana-1479	22	14	lanes	lane	NOUN
cana-1479	22	15	at	at	ADP
cana-1479	22	16	a	a	DET
cana-1479	22	17	junction	junction	NOUN
cana-1479	22	18	with	with	ADP
cana-1479	22	19	a	a	DET
cana-1479	22	20	graph	graph	NOUN
cana-1479	22	21	g.	g.	NOUN
cana-1479	22	22	the	the	DET
cana-1479	22	23	graph	graph	NOUN
cana-1479	22	24	g	g	NOUN
cana-1479	22	25	is	be	AUX
cana-1479	22	26	built	build	VERB
cana-1479	22	27	with	with	ADP
cana-1479	22	28	a	a	DET
cana-1479	22	29	vertex	vertex	NOUN
cana-1479	22	30	set	set	NOUN
cana-1479	22	31	of	of	ADP
cana-1479	22	32	lanes	lane	NOUN
cana-1479	22	33	where	where	SCONJ
cana-1479	22	34	two	two	NUM
cana-1479	22	35	vertices	vertex	NOUN
cana-1479	22	36	(	(	PUNCT
cana-1479	22	37	lanes	lane	NOUN
cana-1479	22	38	)	)	PUNCT
cana-1479	22	39	are	be	AUX
cana-1479	22	40	connected	connect	VERB
cana-1479	22	41	by	by	ADP
cana-1479	22	42	an	an	DET
cana-1479	22	43	edge	edge	NOUN
cana-1479	22	44	if	if	SCONJ
cana-1479	22	45	two	two	NUM
cana-1479	22	46	lanes	lane	NOUN
cana-1479	22	47	can	can	AUX
cana-1479	22	48	not	not	PART
cana-1479	22	49	safely	safely	ADV
cana-1479	22	50	access	access	VERB
cana-1479	22	51	the	the	DET
cana-1479	22	52	junction	junction	NOUN
cana-1479	22	53	at	at	ADP
cana-1479	22	54	the	the	DET
cana-1479	22	55	same	same	ADJ
cana-1479	22	56	time	time	NOUN
cana-1479	22	57	because	because	SCONJ
cana-1479	22	58	of	of	ADP
cana-1479	22	59	the	the	DET
cana-1479	22	60	risk	risk	NOUN
cana-1479	22	61	of	of	ADP
cana-1479	22	62	an	an	DET
cana-1479	22	63	accident	accident	NOUN
cana-1479	22	64	.	.	PUNCT
cana-1479	23	1	definition	definition	NOUN
cana-1479	23	2	2.1	2.1	NUM
cana-1479	23	3	:	:	PUNCT
cana-1479	23	4	chromatic	chromatic	ADJ
cana-1479	23	5	number	number	NOUN
cana-1479	23	6	:	:	PUNCT
cana-1479	23	7	the	the	DET
cana-1479	23	8	minimum	minimum	ADJ
cana-1479	23	9	number	number	NOUN
cana-1479	23	10	of	of	ADP
cana-1479	23	11	colors	color	NOUN
cana-1479	23	12	required	require	VERB
cana-1479	23	13	to	to	PART
cana-1479	23	14	color	color	VERB
cana-1479	23	15	the	the	DET
cana-1479	23	16	vertices	vertex	NOUN
cana-1479	23	17	of	of	ADP
cana-1479	23	18	a	a	DET
cana-1479	23	19	graph	graph	NOUN
cana-1479	23	20	g	g	ADP
cana-1479	23	21	such	such	ADJ
cana-1479	23	22	that	that	SCONJ
cana-1479	23	23	no	no	DET
cana-1479	23	24	two	two	NUM
cana-1479	23	25	adjacent	adjacent	ADJ
cana-1479	23	26	vertices	vertex	NOUN
cana-1479	23	27	share	share	VERB
cana-1479	23	28	the	the	DET
cana-1479	23	29	same	same	ADJ
cana-1479	23	30	color	color	NOUN
cana-1479	23	31	is	be	AUX
cana-1479	23	32	referred	refer	VERB
cana-1479	23	33	to	to	ADP
cana-1479	23	34	as	as	ADP
cana-1479	23	35	the	the	DET
cana-1479	23	36	graph	graph	NOUN
cana-1479	23	37	's	's	PART
cana-1479	23	38	chromatic	chromatic	ADJ
cana-1479	23	39	number	number	NOUN
cana-1479	23	40	,	,	PUNCT
cana-1479	23	41	or	or	CCONJ
cana-1479	23	42	χ(g	χ(g	PROPN
cana-1479	23	43	)	)	PUNCT
cana-1479	23	44	.	.	PUNCT
cana-1479	24	1	3	3	X
cana-1479	24	2	.	.	X
cana-1479	24	3	problem	problem	NOUN
cana-1479	24	4	statement	statement	NOUN
cana-1479	24	5	:	:	PUNCT
cana-1479	24	6	at	at	ADP
cana-1479	24	7	a	a	DET
cana-1479	24	8	junction	junction	NOUN
cana-1479	24	9	of	of	ADP
cana-1479	24	10	two	two	NUM
cana-1479	24	11	streets	street	NOUN
cana-1479	24	12	where	where	SCONJ
cana-1479	24	13	traffic	traffic	NOUN
cana-1479	24	14	is	be	AUX
cana-1479	24	15	frequently	frequently	ADV
cana-1479	24	16	high	high	ADJ
cana-1479	24	17	.	.	PUNCT
cana-1479	25	1	vehicles	vehicle	NOUN
cana-1479	25	2	access	access	VERB
cana-1479	25	3	the	the	DET
cana-1479	25	4	junction	junction	NOUN
cana-1479	25	5	of	of	ADP
cana-1479	25	6	these	these	DET
cana-1479	25	7	two	two	NUM
cana-1479	25	8	streets	street	NOUN
cana-1479	25	9	via	via	ADP
cana-1479	25	10	a	a	DET
cana-1479	25	11	number	number	NOUN
cana-1479	25	12	of	of	ADP
cana-1479	25	13	traffic	traffic	NOUN
cana-1479	25	14	lanes	lane	NOUN
cana-1479	25	15	.	.	PUNCT
cana-1479	26	1	at	at	ADP
cana-1479	26	2	this	this	DET
cana-1479	26	3	crossroads	crossroad	NOUN
cana-1479	26	4	is	be	AUX
cana-1479	26	5	a	a	DET
cana-1479	26	6	traffic	traffic	NOUN
cana-1479	26	7	signal	signal	NOUN
cana-1479	26	8	.	.	PUNCT
cana-1479	27	1	cars	car	NOUN
cana-1479	27	2	in	in	ADP
cana-1479	27	3	lanes	lane	NOUN
cana-1479	27	4	with	with	ADP
cana-1479	27	5	a	a	DET
cana-1479	27	6	green	green	ADJ
cana-1479	27	7	light	light	NOUN
cana-1479	27	8	can	can	AUX
cana-1479	27	9	cross	cross	VERB
cana-1479	27	10	the	the	DET
cana-1479	27	11	junction	junction	NOUN
cana-1479	27	12	safely	safely	ADV
cana-1479	27	13	during	during	ADP
cana-1479	27	14	a	a	DET
cana-1479	27	15	specific	specific	ADJ
cana-1479	27	16	period	period	NOUN
cana-1479	27	17	of	of	ADP
cana-1479	27	18	this	this	DET
cana-1479	27	19	traffic	traffic	NOUN
cana-1479	27	20	signal	signal	NOUN
cana-1479	27	21	.	.	PUNCT
cana-1479	28	1	a)using	a)use	VERB
cana-1479	28	2	a	a	DET
cana-1479	28	3	graph	graph	NOUN
cana-1479	28	4	to	to	PART
cana-1479	28	5	represent	represent	VERB
cana-1479	28	6	this	this	DET
cana-1479	28	7	circumstance	circumstance	NOUN
cana-1479	28	8	b	b	NOUN
cana-1479	28	9	)	)	PUNCT
cana-1479	28	10	to	to	PART
cana-1479	28	11	figure	figure	VERB
cana-1479	28	12	out	out	ADP
cana-1479	28	13	how	how	SCONJ
cana-1479	28	14	many	many	ADJ
cana-1479	28	15	phases	phase	NOUN
cana-1479	28	16	are	be	AUX
cana-1479	28	17	needed	need	VERB
cana-1479	28	18	for	for	SCONJ
cana-1479	28	19	all	all	DET
cana-1479	28	20	lanes	lane	NOUN
cana-1479	28	21	of	of	ADP
cana-1479	28	22	traffic	traffic	NOUN
cana-1479	28	23	to	to	PART
cana-1479	28	24	pass	pass	VERB
cana-1479	28	25	through	through	ADP
cana-1479	28	26	the	the	DET
cana-1479	28	27	junction	junction	NOUN
cana-1479	28	28	safely	safely	ADV
cana-1479	28	29	.	.	PUNCT
cana-1479	29	1	the	the	DET
cana-1479	29	2	situation	situation	NOUN
cana-1479	29	3	can	can	AUX
cana-1479	29	4	be	be	AUX
cana-1479	29	5	explained	explain	VERB
cana-1479	29	6	through	through	ADP
cana-1479	29	7	three	three	NUM
cana-1479	29	8	examples	example	NOUN
cana-1479	29	9	:	:	PUNCT
cana-1479	29	10	example	example	NOUN
cana-1479	29	11	1	1	NUM
cana-1479	29	12	:	:	PUNCT
cana-1479	29	13	an	an	DET
cana-1479	29	14	example	example	NOUN
cana-1479	29	15	of	of	ADP
cana-1479	29	16	a	a	DET
cana-1479	29	17	traffic	traffic	NOUN
cana-1479	29	18	control	control	NOUN
cana-1479	29	19	issue	issue	NOUN
cana-1479	29	20	at	at	ADP
cana-1479	29	21	a	a	DET
cana-1479	29	22	four	four	NUM
cana-1479	29	23	-	-	PUNCT
cana-1479	29	24	leg	leg	NOUN
cana-1479	29	25	junction	junction	NOUN
cana-1479	29	26	with	with	ADP
cana-1479	29	27	four	four	NUM
cana-1479	29	28	lanes	lane	NOUN
cana-1479	29	29	is	be	AUX
cana-1479	29	30	taken	take	VERB
cana-1479	29	31	into	into	ADP
cana-1479	29	32	consideration	consideration	NOUN
cana-1479	29	33	.	.	PUNCT
cana-1479	30	1	[	[	X
cana-1479	30	2	4	4	NUM
cana-1479	30	3	]	]	PUNCT
cana-1479	30	4	figure	figure	NOUN
cana-1479	30	5	1	1	NUM
cana-1479	30	6	:	:	PUNCT
cana-1479	30	7	an	an	DET
cana-1479	30	8	intersection	intersection	NOUN
cana-1479	30	9	with	with	ADP
cana-1479	30	10	four	four	NUM
cana-1479	30	11	traffic	traffic	NOUN
cana-1479	30	12	lanes	lane	NOUN
cana-1479	30	13	figure	figure	VERB
cana-1479	30	14	2	2	NUM
cana-1479	30	15	:	:	PUNCT
cana-1479	30	16	modelling	model	VERB
cana-1479	30	17	traffic	traffic	NOUN
cana-1479	30	18	lanes	lane	NOUN
cana-1479	30	19	at	at	ADP
cana-1479	30	20	an	an	DET
cana-1479	30	21	intersection	intersection	NOUN
cana-1479	30	22	by	by	ADP
cana-1479	30	23	means	mean	NOUN
cana-1479	30	24	of	of	ADP
cana-1479	30	25	a	a	DET
cana-1479	30	26	graph	graph	NOUN
cana-1479	30	27	g	g	PROPN
cana-1479	30	28	figure	figure	NOUN
cana-1479	30	29	3	3	NUM
cana-1479	30	30	:	:	PUNCT
cana-1479	30	31	the	the	DET
cana-1479	30	32	chromatic	chromatic	ADJ
cana-1479	30	33	number	number	NOUN
cana-1479	30	34	of	of	ADP
cana-1479	30	35	g	g	PROPN
cana-1479	30	36	is	be	AUX
cana-1479	30	37	2	2	NUM
cana-1479	30	38	a)let	a)let	NOUN
cana-1479	30	39	g	g	NOUN
cana-1479	30	40	be	be	AUX
cana-1479	30	41	a	a	DET
cana-1479	30	42	graph	graph	NOUN
cana-1479	30	43	with	with	ADP
cana-1479	30	44	the	the	DET
cana-1479	30	45	vertex	vertex	NOUN
cana-1479	30	46	set	set	VERB
cana-1479	30	47	v={a	v={a	NOUN
cana-1479	30	48	,	,	PUNCT
cana-1479	30	49	b	b	PROPN
cana-1479	30	50	,	,	PUNCT
cana-1479	30	51	c	c	X
cana-1479	30	52	,	,	PUNCT
cana-1479	30	53	d	d	NOUN
cana-1479	30	54	}	}	PUNCT
cana-1479	30	55	.	.	PUNCT
cana-1479	31	1	if	if	SCONJ
cana-1479	31	2	two	two	NUM
cana-1479	31	3	vertices	vertex	NOUN
cana-1479	31	4	(	(	PUNCT
cana-1479	31	5	lanes	lane	NOUN
cana-1479	31	6	)	)	PUNCT
cana-1479	31	7	in	in	ADP
cana-1479	31	8	g	g	PROPN
cana-1479	31	9	are	be	AUX
cana-1479	31	10	connected	connect	VERB
cana-1479	31	11	by	by	ADP
cana-1479	31	12	an	an	DET
cana-1479	31	13	edge	edge	NOUN
cana-1479	31	14	,	,	PUNCT
cana-1479	31	15	then	then	ADV
cana-1479	31	16	it	it	PRON
cana-1479	31	17	is	be	AUX
cana-1479	31	18	unsafe	unsafe	ADJ
cana-1479	31	19	for	for	SCONJ
cana-1479	31	20	the	the	DET
cana-1479	31	21	cars	car	NOUN
cana-1479	31	22	in	in	ADP
cana-1479	31	23	these	these	DET
cana-1479	31	24	two	two	NUM
cana-1479	31	25	lanes	lane	NOUN
cana-1479	31	26	to	to	PART
cana-1479	31	27	reach	reach	VERB
cana-1479	31	28	the	the	DET
cana-1479	31	29	junction	junction	NOUN
cana-1479	31	30	simultaneously	simultaneously	ADV
cana-1479	31	31	because	because	SCONJ
cana-1479	31	32	there	there	PRON
cana-1479	31	33	is	be	VERB
cana-1479	31	34	a	a	DET
cana-1479	31	35	risk	risk	NOUN
cana-1479	31	36	of	of	ADP
cana-1479	31	37	an	an	DET
cana-1479	31	38	accident	accident	NOUN
cana-1479	31	39	(	(	PUNCT
cana-1479	31	40	fig	fig	NOUN
cana-1479	31	41	.	.	PUNCT
cana-1479	32	1	2	2	NUM
cana-1479	32	2	)	)	PUNCT
cana-1479	32	3	.	.	PUNCT
cana-1479	33	1	b	b	X
cana-1479	33	2	)	)	PUNCT
cana-1479	33	3	by	by	ADP
cana-1479	33	4	figuring	figure	VERB
cana-1479	33	5	out	out	ADP
cana-1479	33	6	graph	graph	NOUN
cana-1479	33	7	g	g	PROPN
cana-1479	33	8	's	's	PART
cana-1479	33	9	chromatic	chromatic	ADJ
cana-1479	33	10	number	number	NOUN
cana-1479	33	11	in	in	ADP
cana-1479	33	12	figure	figure	NOUN
cana-1479	33	13	3	3	NUM
cana-1479	33	14	,	,	PUNCT
cana-1479	33	15	two	two	NUM
cana-1479	33	16	colours	colour	NOUN
cana-1479	33	17	are	be	AUX
cana-1479	33	18	required	require	VERB
cana-1479	33	19	to	to	PART
cana-1479	33	20	colour	colour	VERB
cana-1479	33	21	these	these	DET
cana-1479	33	22	vertices	vertex	NOUN
cana-1479	33	23	.	.	PUNCT
cana-1479	34	1	hence	hence	ADV
cana-1479	34	2	,	,	PUNCT
cana-1479	34	3	χ(g)=2	χ(g)=2	PUNCT
cana-1479	34	4	.	.	PUNCT
cana-1479	35	1	given	give	VERB
cana-1479	35	2	that	that	SCONJ
cana-1479	35	3	g	g	NOUN
cana-1479	35	4	may	may	AUX
cana-1479	35	5	be	be	AUX
cana-1479	35	6	properly	properly	ADV
cana-1479	35	7	coloured	colour	VERB
cana-1479	35	8	using	use	VERB
cana-1479	35	9	the	the	DET
cana-1479	35	10	two	two	NUM
cana-1479	35	11	colours	colour	NOUN
cana-1479	35	12	1	1	NUM
cana-1479	35	13	,	,	PUNCT
cana-1479	35	14	and	and	CCONJ
cana-1479	35	15	2	2	NUM
cana-1479	35	16	,	,	PUNCT
cana-1479	35	17	as	as	SCONJ
cana-1479	35	18	communications	communication	NOUN
cana-1479	35	19	on	on	ADP
cana-1479	35	20	applied	apply	VERB
cana-1479	35	21	nonlinear	nonlinear	ADJ
cana-1479	35	22	analysis	analysis	NOUN
cana-1479	35	23	issn	issn	NOUN
cana-1479	35	24	:	:	PUNCT
cana-1479	35	25	1074	1074	NUM
cana-1479	35	26	-	-	PUNCT
cana-1479	35	27	133x	133x	NUM
cana-1479	35	28	vol	vol	NOUN
cana-1479	35	29	31	31	NUM
cana-1479	35	30	no	no	NOUN
cana-1479	35	31	.	.	PUNCT
cana-1479	36	1	8s	8s	PROPN
cana-1479	36	2	(	(	PUNCT
cana-1479	36	3	2024	2024	NUM
cana-1479	36	4	)	)	PUNCT
cana-1479	36	5	250	250	NUM
cana-1479	36	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1479	36	7	seen	see	VERB
cana-1479	36	8	in	in	ADP
cana-1479	36	9	fig	fig	NOUN
cana-1479	36	10	.	.	PUNCT
cana-1479	37	1	3	3	X
cana-1479	37	2	.	.	X
cana-1479	37	3	vehicles	vehicle	NOUN
cana-1479	37	4	in	in	ADP
cana-1479	37	5	lanes	lane	NOUN
cana-1479	37	6	of	of	ADP
cana-1479	37	7	the	the	DET
cana-1479	37	8	same	same	ADJ
cana-1479	37	9	colour	colour	NOUN
cana-1479	37	10	may	may	AUX
cana-1479	37	11	cross	cross	VERB
cana-1479	37	12	the	the	DET
cana-1479	37	13	junction	junction	NOUN
cana-1479	37	14	simultaneously	simultaneously	ADV
cana-1479	37	15	once	once	SCONJ
cana-1479	37	16	the	the	DET
cana-1479	37	17	traffic	traffic	NOUN
cana-1479	37	18	light	light	NOUN
cana-1479	37	19	becomes	become	VERB
cana-1479	37	20	green	green	ADJ
cana-1479	37	21	for	for	ADP
cana-1479	37	22	that	that	DET
cana-1479	37	23	phase	phase	NOUN
cana-1479	37	24	,	,	PUNCT
cana-1479	37	25	meaning	mean	VERB
cana-1479	37	26	that	that	SCONJ
cana-1479	37	27	the	the	DET
cana-1479	37	28	traffic	traffic	NOUN
cana-1479	37	29	signal	signal	NOUN
cana-1479	37	30	has	have	VERB
cana-1479	37	31	a	a	DET
cana-1479	37	32	minimum	minimum	NOUN
cana-1479	37	33	of	of	ADP
cana-1479	37	34	two	two	NUM
cana-1479	37	35	phases	phase	NOUN
cana-1479	37	36	.	.	PUNCT
cana-1479	38	1	example	example	NOUN
cana-1479	38	2	2	2	NUM
cana-1479	38	3	:	:	PUNCT
cana-1479	39	1	a	a	DET
cana-1479	39	2	traffic	traffic	NOUN
cana-1479	39	3	control	control	NOUN
cana-1479	39	4	issue	issue	NOUN
cana-1479	39	5	with	with	ADP
cana-1479	39	6	seven	seven	NUM
cana-1479	39	7	lanes	lane	NOUN
cana-1479	39	8	is	be	AUX
cana-1479	39	9	another	another	DET
cana-1479	39	10	example	example	NOUN
cana-1479	39	11	taken	take	VERB
cana-1479	39	12	into	into	ADP
cana-1479	39	13	consideration	consideration	NOUN
cana-1479	39	14	here	here	ADV
cana-1479	39	15	;	;	PUNCT
cana-1479	39	16	it	it	PRON
cana-1479	39	17	is	be	AUX
cana-1479	39	18	represented	represent	VERB
cana-1479	39	19	in	in	ADP
cana-1479	39	20	figure	figure	NOUN
cana-1479	39	21	4	4	NUM
cana-1479	39	22	below[4	below[4	NOUN
cana-1479	39	23	]	]	PUNCT
cana-1479	39	24	.	.	PUNCT
cana-1479	40	1	figure	figure	VERB
cana-1479	40	2	4	4	NUM
cana-1479	40	3	:	:	PUNCT
cana-1479	40	4	an	an	DET
cana-1479	40	5	intersection	intersection	NOUN
cana-1479	40	6	with	with	ADP
cana-1479	40	7	seven	seven	NUM
cana-1479	40	8	traffic	traffic	NOUN
cana-1479	40	9	lanes	lane	NOUN
cana-1479	40	10	g	g	NOUN
cana-1479	40	11	:	:	PUNCT
cana-1479	40	12	figure	figure	NOUN
cana-1479	40	13	5	5	NUM
cana-1479	40	14	:	:	PUNCT
cana-1479	40	15	modelling	model	VERB
cana-1479	40	16	traffic	traffic	NOUN
cana-1479	40	17	lanes	lane	NOUN
cana-1479	40	18	at	at	ADP
cana-1479	40	19	an	an	DET
cana-1479	40	20	intersection	intersection	NOUN
cana-1479	40	21	by	by	ADP
cana-1479	40	22	means	mean	NOUN
cana-1479	40	23	of	of	ADP
cana-1479	40	24	a	a	DET
cana-1479	40	25	graph	graph	NOUN
cana-1479	40	26	g	g	ADP
cana-1479	40	27	g	g	NOUN
cana-1479	40	28	:	:	PUNCT
cana-1479	40	29	figure	figure	NOUN
cana-1479	40	30	6	6	NUM
cana-1479	40	31	:	:	PUNCT
cana-1479	40	32	the	the	DET
cana-1479	40	33	chromatic	chromatic	ADJ
cana-1479	40	34	number	number	NOUN
cana-1479	40	35	of	of	ADP
cana-1479	40	36	g	g	PROPN
cana-1479	40	37	is	be	AUX
cana-1479	40	38	3	3	NUM
cana-1479	40	39	a)let	a)let	NOUN
cana-1479	40	40	g	g	NOUN
cana-1479	40	41	be	be	AUX
cana-1479	40	42	a	a	DET
cana-1479	40	43	graph	graph	NOUN
cana-1479	40	44	whose	whose	DET
cana-1479	40	45	vertex	vertex	NOUN
cana-1479	40	46	set	set	VERB
cana-1479	40	47	v={a	v={a	NOUN
cana-1479	40	48	,	,	PUNCT
cana-1479	40	49	b	b	PROPN
cana-1479	40	50	,	,	PUNCT
cana-1479	40	51	c	c	NOUN
cana-1479	40	52	,	,	PUNCT
cana-1479	40	53	d	d	NOUN
cana-1479	40	54	,	,	PUNCT
cana-1479	40	55	e	e	NOUN
cana-1479	40	56	,	,	PUNCT
cana-1479	40	57	f	f	PROPN
cana-1479	40	58	,	,	PUNCT
cana-1479	40	59	g	g	NOUN
cana-1479	40	60	}	}	PUNCT
cana-1479	40	61	.	.	PUNCT
cana-1479	41	1	if	if	SCONJ
cana-1479	41	2	two	two	NUM
cana-1479	41	3	vertices	vertex	NOUN
cana-1479	41	4	(	(	PUNCT
cana-1479	41	5	lanes	lane	NOUN
cana-1479	41	6	)	)	PUNCT
cana-1479	41	7	in	in	ADP
cana-1479	41	8	g	g	PROPN
cana-1479	41	9	are	be	AUX
cana-1479	41	10	connected	connect	VERB
cana-1479	41	11	by	by	ADP
cana-1479	41	12	an	an	DET
cana-1479	41	13	edge	edge	NOUN
cana-1479	41	14	,	,	PUNCT
cana-1479	41	15	then	then	ADV
cana-1479	41	16	it	it	PRON
cana-1479	41	17	is	be	AUX
cana-1479	41	18	unsafe	unsafe	ADJ
cana-1479	41	19	for	for	SCONJ
cana-1479	41	20	the	the	DET
cana-1479	41	21	cars	car	NOUN
cana-1479	41	22	in	in	ADP
cana-1479	41	23	these	these	DET
cana-1479	41	24	two	two	NUM
cana-1479	41	25	lanes	lane	NOUN
cana-1479	41	26	to	to	PART
cana-1479	41	27	cross	cross	VERB
cana-1479	41	28	at	at	ADP
cana-1479	41	29	the	the	DET
cana-1479	41	30	same	same	ADJ
cana-1479	41	31	time	time	NOUN
cana-1479	41	32	because	because	SCONJ
cana-1479	41	33	there	there	PRON
cana-1479	41	34	might	might	AUX
cana-1479	41	35	be	be	AUX
cana-1479	41	36	an	an	DET
cana-1479	41	37	accident	accident	NOUN
cana-1479	41	38	(	(	PUNCT
cana-1479	41	39	fig	fig	NOUN
cana-1479	41	40	.	.	PUNCT
cana-1479	41	41	5	5	NUM
cana-1479	41	42	)	)	PUNCT
cana-1479	41	43	.	.	PUNCT
cana-1479	42	1	b	b	X
cana-1479	42	2	)	)	PUNCT
cana-1479	42	3	by	by	ADP
cana-1479	42	4	figuring	figure	VERB
cana-1479	42	5	out	out	ADP
cana-1479	42	6	graph	graph	NOUN
cana-1479	42	7	g	g	PROPN
cana-1479	42	8	's	's	PART
cana-1479	42	9	chromatic	chromatic	ADJ
cana-1479	42	10	number	number	NOUN
cana-1479	42	11	in	in	ADP
cana-1479	42	12	figure	figure	NOUN
cana-1479	42	13	6	6	NUM
cana-1479	42	14	,	,	PUNCT
cana-1479	42	15	three	three	NUM
cana-1479	42	16	colours	colour	NOUN
cana-1479	42	17	are	be	AUX
cana-1479	42	18	required	require	VERB
cana-1479	42	19	to	to	PART
cana-1479	42	20	colour	colour	VERB
cana-1479	42	21	these	these	DET
cana-1479	42	22	vertices	vertex	NOUN
cana-1479	42	23	.	.	PUNCT
cana-1479	43	1	hence	hence	ADV
cana-1479	43	2	,	,	PUNCT
cana-1479	43	3	χ(g)=3	χ(g)=3	X
cana-1479	43	4	.	.	PUNCT
cana-1479	44	1	given	give	VERB
cana-1479	44	2	that	that	SCONJ
cana-1479	44	3	g	g	NOUN
cana-1479	44	4	may	may	AUX
cana-1479	44	5	be	be	AUX
cana-1479	44	6	properly	properly	ADV
cana-1479	44	7	coloured	colour	VERB
cana-1479	44	8	using	use	VERB
cana-1479	44	9	the	the	DET
cana-1479	44	10	three	three	NUM
cana-1479	44	11	colours	colour	NOUN
cana-1479	44	12	1	1	NUM
cana-1479	44	13	,	,	PUNCT
cana-1479	44	14	2	2	NUM
cana-1479	44	15	,	,	PUNCT
cana-1479	44	16	and	and	CCONJ
cana-1479	44	17	3	3	NUM
cana-1479	44	18	as	as	SCONJ
cana-1479	44	19	seen	see	VERB
cana-1479	44	20	in	in	ADP
cana-1479	44	21	fig	fig	NOUN
cana-1479	44	22	.	.	PUNCT
cana-1479	45	1	6	6	X
cana-1479	45	2	.	.	X
cana-1479	45	3	vehicles	vehicle	NOUN
cana-1479	45	4	in	in	ADP
cana-1479	45	5	lanes	lane	NOUN
cana-1479	45	6	of	of	ADP
cana-1479	45	7	the	the	DET
cana-1479	45	8	same	same	ADJ
cana-1479	45	9	colour	colour	NOUN
cana-1479	45	10	may	may	AUX
cana-1479	45	11	cross	cross	VERB
cana-1479	45	12	the	the	DET
cana-1479	45	13	junction	junction	NOUN
cana-1479	45	14	simultaneously	simultaneously	ADV
cana-1479	45	15	once	once	SCONJ
cana-1479	45	16	the	the	DET
cana-1479	45	17	traffic	traffic	NOUN
cana-1479	45	18	light	light	NOUN
cana-1479	45	19	becomes	become	VERB
cana-1479	45	20	green	green	ADJ
cana-1479	45	21	for	for	ADP
cana-1479	45	22	that	that	DET
cana-1479	45	23	phase	phase	NOUN
cana-1479	45	24	,	,	PUNCT
cana-1479	45	25	meaning	mean	VERB
cana-1479	45	26	that	that	SCONJ
cana-1479	45	27	the	the	DET
cana-1479	45	28	traffic	traffic	NOUN
cana-1479	45	29	signal	signal	NOUN
cana-1479	45	30	has	have	VERB
cana-1479	45	31	a	a	DET
cana-1479	45	32	minimum	minimum	NOUN
cana-1479	45	33	of	of	ADP
cana-1479	45	34	three	three	NUM
cana-1479	45	35	phases	phase	NOUN
cana-1479	45	36	.	.	PUNCT
cana-1479	46	1	example	example	NOUN
cana-1479	47	1	3	3	NUM
cana-1479	47	2	:	:	PUNCT
cana-1479	47	3	a	a	DET
cana-1479	47	4	traffic	traffic	NOUN
cana-1479	47	5	control	control	NOUN
cana-1479	47	6	problem	problem	NOUN
cana-1479	47	7	at	at	ADP
cana-1479	47	8	a	a	DET
cana-1479	47	9	seven	seven	NUM
cana-1479	47	10	-	-	PUNCT
cana-1479	47	11	leg	leg	NOUN
cana-1479	47	12	junction	junction	NOUN
cana-1479	47	13	is	be	AUX
cana-1479	47	14	the	the	DET
cana-1479	47	15	case	case	NOUN
cana-1479	47	16	under	under	ADP
cana-1479	47	17	consideration	consideration	NOUN
cana-1479	47	18	.	.	PUNCT
cana-1479	48	1	the	the	DET
cana-1479	48	2	seven	seven	NUM
cana-1479	48	3	lanes	lane	NOUN
cana-1479	48	4	in	in	ADP
cana-1479	48	5	fig	fig	NOUN
cana-1479	48	6	.	.	PUNCT
cana-1479	49	1	7	7	NUM
cana-1479	49	2	below	below	ADV
cana-1479	49	3	are	be	AUX
cana-1479	49	4	derived	derive	VERB
cana-1479	49	5	from	from	ADP
cana-1479	49	6	[	[	X
cana-1479	49	7	3	3	NUM
cana-1479	49	8	]	]	PUNCT
cana-1479	49	9	,	,	PUNCT
cana-1479	49	10	and	and	CCONJ
cana-1479	49	11	the	the	DET
cana-1479	49	12	related	relate	VERB
cana-1479	49	13	graph	graph	NOUN
cana-1479	49	14	is	be	AUX
cana-1479	49	15	produced	produce	VERB
cana-1479	49	16	as	as	SCONJ
cana-1479	49	17	indicated	indicate	VERB
cana-1479	49	18	in	in	ADP
cana-1479	49	19	fig	fig	NOUN
cana-1479	49	20	.	.	PUNCT
cana-1479	50	1	8	8	NUM
cana-1479	50	2	communications	communication	NOUN
cana-1479	50	3	on	on	ADP
cana-1479	50	4	applied	apply	VERB
cana-1479	50	5	nonlinear	nonlinear	ADJ
cana-1479	50	6	analysis	analysis	NOUN
cana-1479	50	7	issn	issn	NOUN
cana-1479	50	8	:	:	PUNCT
cana-1479	50	9	1074	1074	NUM
cana-1479	50	10	-	-	PUNCT
cana-1479	50	11	133x	133x	NUM
cana-1479	50	12	vol	vol	NOUN
cana-1479	50	13	31	31	NUM
cana-1479	50	14	no	no	NOUN
cana-1479	50	15	.	.	PUNCT
cana-1479	51	1	8s	8s	PROPN
cana-1479	51	2	(	(	PUNCT
cana-1479	51	3	2024	2024	NUM
cana-1479	51	4	)	)	PUNCT
cana-1479	51	5	251	251	NUM
cana-1479	51	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1479	51	7	fig	fig	NOUN
cana-1479	51	8	7	7	NUM
cana-1479	51	9	:	:	PUNCT
cana-1479	51	10	an	an	DET
cana-1479	51	11	intersection	intersection	NOUN
cana-1479	51	12	with	with	ADP
cana-1479	51	13	seven	seven	NUM
cana-1479	51	14	traffic	traffic	NOUN
cana-1479	51	15	lanes	lane	NOUN
cana-1479	51	16	g	g	NOUN
cana-1479	51	17	:	:	PUNCT
cana-1479	51	18	fig	fig	NOUN
cana-1479	51	19	8	8	NUM
cana-1479	51	20	:	:	PUNCT
cana-1479	51	21	modelling	model	VERB
cana-1479	51	22	traffic	traffic	NOUN
cana-1479	51	23	lanes	lane	NOUN
cana-1479	51	24	at	at	ADP
cana-1479	51	25	an	an	DET
cana-1479	51	26	intersection	intersection	NOUN
cana-1479	51	27	by	by	ADP
cana-1479	51	28	means	mean	NOUN
cana-1479	51	29	of	of	ADP
cana-1479	51	30	graph	graph	NOUN
cana-1479	51	31	g	g	PROPN
cana-1479	51	32	g	g	NOUN
cana-1479	51	33	:	:	PUNCT
cana-1479	51	34	figure	figure	NOUN
cana-1479	51	35	9	9	NUM
cana-1479	51	36	:	:	PUNCT
cana-1479	51	37	the	the	DET
cana-1479	51	38	chromatic	chromatic	ADJ
cana-1479	51	39	number	number	NOUN
cana-1479	51	40	of	of	ADP
cana-1479	51	41	g	g	PROPN
cana-1479	51	42	is	be	AUX
cana-1479	51	43	3	3	NUM
cana-1479	51	44	a)let	a)let	NOUN
cana-1479	51	45	g	g	NOUN
cana-1479	51	46	be	be	AUX
cana-1479	51	47	a	a	DET
cana-1479	51	48	graph	graph	NOUN
cana-1479	51	49	with	with	ADP
cana-1479	51	50	the	the	DET
cana-1479	51	51	vertex	vertex	NOUN
cana-1479	51	52	set	set	NOUN
cana-1479	51	53	v={l1	v={l1	PROPN
cana-1479	51	54	,	,	PUNCT
cana-1479	51	55	l2	l2	NOUN
cana-1479	51	56	,	,	PUNCT
cana-1479	51	57	l3	l3	PROPN
cana-1479	51	58	,	,	PUNCT
cana-1479	51	59	l4	l4	PROPN
cana-1479	51	60	,	,	PUNCT
cana-1479	51	61	l5	l5	PROPN
cana-1479	51	62	,	,	PUNCT
cana-1479	51	63	l6	l6	PROPN
cana-1479	51	64	,	,	PUNCT
cana-1479	51	65	l7	l7	PROPN
cana-1479	51	66	}	}	PUNCT
cana-1479	51	67	.	.	PUNCT
cana-1479	52	1	if	if	SCONJ
cana-1479	52	2	two	two	NUM
cana-1479	52	3	vertices	vertex	NOUN
cana-1479	52	4	(	(	PUNCT
cana-1479	52	5	lanes	lane	NOUN
cana-1479	52	6	)	)	PUNCT
cana-1479	52	7	in	in	ADP
cana-1479	52	8	these	these	DET
cana-1479	52	9	lanes	lane	NOUN
cana-1479	52	10	can	can	AUX
cana-1479	52	11	not	not	PART
cana-1479	52	12	safely	safely	ADV
cana-1479	52	13	reach	reach	VERB
cana-1479	52	14	the	the	DET
cana-1479	52	15	junction	junction	NOUN
cana-1479	52	16	at	at	ADP
cana-1479	52	17	the	the	DET
cana-1479	52	18	same	same	ADJ
cana-1479	52	19	time	time	NOUN
cana-1479	52	20	due	due	ADP
cana-1479	52	21	to	to	ADP
cana-1479	52	22	the	the	DET
cana-1479	52	23	danger	danger	NOUN
cana-1479	52	24	of	of	ADP
cana-1479	52	25	an	an	DET
cana-1479	52	26	accident	accident	NOUN
cana-1479	52	27	,	,	PUNCT
cana-1479	52	28	then	then	ADV
cana-1479	52	29	these	these	DET
cana-1479	52	30	two	two	NUM
cana-1479	52	31	lanes	lane	NOUN
cana-1479	52	32	are	be	AUX
cana-1479	52	33	related	relate	VERB
cana-1479	52	34	by	by	ADP
cana-1479	52	35	an	an	DET
cana-1479	52	36	edge	edge	NOUN
cana-1479	52	37	(	(	PUNCT
cana-1479	52	38	fig	fig	NOUN
cana-1479	52	39	.	.	PUNCT
cana-1479	53	1	8)	8)	NUM
cana-1479	53	2	.	.	PUNCT
cana-1479	54	1	b	b	X
cana-1479	54	2	)	)	PUNCT
cana-1479	54	3	by	by	ADP
cana-1479	54	4	figuring	figure	VERB
cana-1479	54	5	out	out	ADP
cana-1479	54	6	graph	graph	NOUN
cana-1479	54	7	g	g	PROPN
cana-1479	54	8	's	's	PART
cana-1479	54	9	chromatic	chromatic	ADJ
cana-1479	54	10	number	number	NOUN
cana-1479	54	11	in	in	ADP
cana-1479	54	12	figure	figure	NOUN
cana-1479	54	13	9	9	NUM
cana-1479	54	14	,	,	PUNCT
cana-1479	54	15	three	three	NUM
cana-1479	54	16	colours	colour	NOUN
cana-1479	54	17	are	be	AUX
cana-1479	54	18	required	require	VERB
cana-1479	54	19	to	to	PART
cana-1479	54	20	colour	colour	VERB
cana-1479	54	21	these	these	DET
cana-1479	54	22	vertices	vertex	NOUN
cana-1479	54	23	.	.	PUNCT
cana-1479	55	1	hence	hence	ADV
cana-1479	55	2	,	,	PUNCT
cana-1479	55	3	χ(g)=3	χ(g)=3	X
cana-1479	55	4	.	.	PUNCT
cana-1479	55	5	given	give	VERB
cana-1479	55	6	that	that	DET
cana-1479	55	7	fig	fig	NOUN
cana-1479	55	8	.	.	PUNCT
cana-1479	56	1	9	9	NUM
cana-1479	56	2	illustrates	illustrate	VERB
cana-1479	56	3	the	the	DET
cana-1479	56	4	correct	correct	ADJ
cana-1479	56	5	colouring	colouring	NOUN
cana-1479	56	6	of	of	ADP
cana-1479	56	7	g	g	NOUN
cana-1479	56	8	with	with	ADP
cana-1479	56	9	the	the	DET
cana-1479	56	10	three	three	NUM
cana-1479	56	11	colours	colour	NOUN
cana-1479	56	12	1	1	NUM
cana-1479	56	13	,	,	PUNCT
cana-1479	56	14	2	2	NUM
cana-1479	56	15	,	,	PUNCT
cana-1479	56	16	and	and	CCONJ
cana-1479	56	17	3	3	X
cana-1479	56	18	.	.	X
cana-1479	56	19	vehicles	vehicle	NOUN
cana-1479	56	20	in	in	ADP
cana-1479	56	21	lanes	lane	NOUN
cana-1479	56	22	of	of	ADP
cana-1479	56	23	the	the	DET
cana-1479	56	24	same	same	ADJ
cana-1479	56	25	colour	colour	NOUN
cana-1479	56	26	may	may	AUX
cana-1479	56	27	cross	cross	VERB
cana-1479	56	28	the	the	DET
cana-1479	56	29	junction	junction	NOUN
cana-1479	56	30	simultaneously	simultaneously	ADV
cana-1479	56	31	once	once	SCONJ
cana-1479	56	32	the	the	DET
cana-1479	56	33	traffic	traffic	NOUN
cana-1479	56	34	light	light	NOUN
cana-1479	56	35	becomes	become	VERB
cana-1479	56	36	green	green	ADJ
cana-1479	56	37	for	for	ADP
cana-1479	56	38	that	that	DET
cana-1479	56	39	phase	phase	NOUN
cana-1479	56	40	,	,	PUNCT
cana-1479	56	41	meaning	mean	VERB
cana-1479	56	42	that	that	SCONJ
cana-1479	56	43	the	the	DET
cana-1479	56	44	traffic	traffic	NOUN
cana-1479	56	45	signal	signal	NOUN
cana-1479	56	46	has	have	VERB
cana-1479	56	47	a	a	DET
cana-1479	56	48	minimum	minimum	NOUN
cana-1479	56	49	of	of	ADP
cana-1479	56	50	three	three	NUM
cana-1479	56	51	phases	phase	NOUN
cana-1479	56	52	.	.	PUNCT
cana-1479	57	1	4	4	X
cana-1479	57	2	.	.	X
cana-1479	57	3	applications	application	NOUN
cana-1479	57	4	:	:	PUNCT
cana-1479	57	5	there	there	PRON
cana-1479	57	6	are	be	VERB
cana-1479	57	7	several	several	ADJ
cana-1479	57	8	applications	application	NOUN
cana-1479	57	9	of	of	ADP
cana-1479	57	10	chromatic	chromatic	ADJ
cana-1479	57	11	numbers	number	NOUN
cana-1479	57	12	in	in	ADP
cana-1479	57	13	an	an	DET
cana-1479	57	14	intersection	intersection	NOUN
cana-1479	57	15	of	of	ADP
cana-1479	57	16	traffic	traffic	NOUN
cana-1479	57	17	control	control	NOUN
cana-1479	57	18	issues	issue	NOUN
cana-1479	57	19	,	,	PUNCT
cana-1479	57	20	preparing	prepare	VERB
cana-1479	57	21	the	the	DET
cana-1479	57	22	timetable	timetable	NOUN
cana-1479	57	23	,	,	PUNCT
cana-1479	57	24	scheduling	schedule	VERB
cana-1479	57	25	the	the	DET
cana-1479	57	26	task	task	NOUN
cana-1479	57	27	,	,	PUNCT
cana-1479	57	28	sudoku	sudoku	ADJ
cana-1479	57	29	and	and	CCONJ
cana-1479	57	30	finding	find	VERB
cana-1479	57	31	minimum	minimum	ADJ
cana-1479	57	32	slots	slot	NOUN
cana-1479	57	33	for	for	ADP
cana-1479	57	34	an	an	DET
cana-1479	57	35	examination	examination	NOUN
cana-1479	57	36	,	,	PUNCT
cana-1479	57	37	etc	etc	X
cana-1479	57	38	.	.	X
cana-1479	57	39	5	5	X
cana-1479	57	40	.	.	X
cana-1479	57	41	conclusions	conclusion	NOUN
cana-1479	57	42	:	:	PUNCT
cana-1479	57	43	this	this	DET
cana-1479	57	44	work	work	NOUN
cana-1479	57	45	presents	present	VERB
cana-1479	57	46	a	a	DET
cana-1479	57	47	few	few	ADJ
cana-1479	57	48	examples	example	NOUN
cana-1479	57	49	of	of	ADP
cana-1479	57	50	applications	application	NOUN
cana-1479	57	51	of	of	ADP
cana-1479	57	52	graph	graph	NOUN
cana-1479	57	53	theory	theory	NOUN
cana-1479	57	54	.	.	PUNCT
cana-1479	58	1	specifically	specifically	ADV
cana-1479	58	2	,	,	PUNCT
cana-1479	58	3	the	the	DET
cana-1479	58	4	notion	notion	NOUN
cana-1479	58	5	of	of	ADP
cana-1479	58	6	chromatic	chromatic	ADJ
cana-1479	58	7	number	number	NOUN
cana-1479	58	8	may	may	AUX
cana-1479	58	9	be	be	AUX
cana-1479	58	10	used	use	VERB
cana-1479	58	11	in	in	ADP
cana-1479	58	12	many	many	ADJ
cana-1479	58	13	real	real	ADJ
cana-1479	58	14	-	-	PUNCT
cana-1479	58	15	world	world	NOUN
cana-1479	58	16	contexts	context	NOUN
cana-1479	58	17	and	and	CCONJ
cana-1479	58	18	utilised	utilise	VERB
cana-1479	58	19	as	as	ADP
cana-1479	58	20	a	a	DET
cana-1479	58	21	graph	graph	NOUN
cana-1479	58	22	theoretic	theoretic	ADJ
cana-1479	58	23	tool	tool	NOUN
cana-1479	58	24	to	to	PART
cana-1479	58	25	explore	explore	VERB
cana-1479	58	26	the	the	DET
cana-1479	58	27	intersection	intersection	NOUN
cana-1479	58	28	of	of	ADP
cana-1479	58	29	traffic	traffic	NOUN
cana-1479	58	30	management	management	NOUN
cana-1479	58	31	issues	issue	NOUN
cana-1479	58	32	.	.	PUNCT
cana-1479	59	1	the	the	DET
cana-1479	59	2	chromatic	chromatic	ADJ
cana-1479	59	3	number	number	NOUN
cana-1479	59	4	may	may	AUX
cana-1479	59	5	be	be	AUX
cana-1479	59	6	used	use	VERB
cana-1479	59	7	to	to	PART
cana-1479	59	8	determine	determine	VERB
cana-1479	59	9	how	how	SCONJ
cana-1479	59	10	many	many	ADJ
cana-1479	59	11	phases	phase	NOUN
cana-1479	59	12	are	be	AUX
cana-1479	59	13	required	require	VERB
cana-1479	59	14	for	for	ADP
cana-1479	59	15	cars	car	NOUN
cana-1479	59	16	in	in	ADP
cana-1479	59	17	all	all	DET
cana-1479	59	18	lanes	lane	NOUN
cana-1479	59	19	to	to	PART
cana-1479	59	20	cross	cross	VERB
cana-1479	59	21	the	the	DET
cana-1479	59	22	junction	junction	NOUN
cana-1479	59	23	safely	safely	ADV
cana-1479	59	24	.	.	PUNCT
cana-1479	60	1	this	this	PRON
cana-1479	60	2	will	will	AUX
cana-1479	60	3	reduce	reduce	VERB
cana-1479	60	4	waiting	waiting	NOUN
cana-1479	60	5	times	time	NOUN
cana-1479	60	6	for	for	ADP
cana-1479	60	7	all	all	DET
cana-1479	60	8	traffic	traffic	NOUN
cana-1479	60	9	participants	participant	NOUN
cana-1479	60	10	and	and	CCONJ
cana-1479	60	11	offer	offer	VERB
cana-1479	60	12	thorough	thorough	ADJ
cana-1479	60	13	traffic	traffic	NOUN
cana-1479	60	14	network	network	NOUN
cana-1479	60	15	information	information	NOUN
cana-1479	60	16	.	.	PUNCT
cana-1479	61	1	therefore	therefore	ADV
cana-1479	61	2	,	,	PUNCT
cana-1479	61	3	graph	graph	NOUN
cana-1479	61	4	theory	theory	NOUN
cana-1479	61	5	is	be	AUX
cana-1479	61	6	quite	quite	ADV
cana-1479	61	7	important	important	ADJ
cana-1479	61	8	in	in	ADP
cana-1479	61	9	present	present	ADJ
cana-1479	61	10	-	-	PUNCT
cana-1479	61	11	day	day	NOUN
cana-1479	61	12	today	today	NOUN
cana-1479	61	13	life	life	NOUN
cana-1479	61	14	.	.	PUNCT
cana-1479	62	1	communications	communication	NOUN
cana-1479	62	2	on	on	ADP
cana-1479	62	3	applied	apply	VERB
cana-1479	62	4	nonlinear	nonlinear	ADJ
cana-1479	62	5	analysis	analysis	NOUN
cana-1479	62	6	issn	issn	NOUN
cana-1479	62	7	:	:	PUNCT
cana-1479	62	8	1074	1074	NUM
cana-1479	62	9	-	-	PUNCT
cana-1479	62	10	133x	133x	NUM
cana-1479	62	11	vol	vol	NOUN
cana-1479	62	12	31	31	NUM
cana-1479	62	13	no	no	NOUN
cana-1479	62	14	.	.	PUNCT
cana-1479	63	1	8s	8s	PROPN
cana-1479	63	2	(	(	PUNCT
cana-1479	63	3	2024	2024	NUM
cana-1479	63	4	)	)	PUNCT
cana-1479	63	5	252	252	NUM
cana-1479	63	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1479	63	7	references	reference	NOUN
cana-1479	63	8	:	:	PUNCT
cana-1479	63	9	[	[	X
cana-1479	63	10	1	1	X
cana-1479	63	11	]	]	X
cana-1479	63	12	shamim	shamim	PROPN
cana-1479	63	13	ahmed	ahmed	PROPN
cana-1479	63	14	,	,	PUNCT
cana-1479	63	15	“	"	PUNCT
cana-1479	63	16	applications	application	NOUN
cana-1479	63	17	of	of	ADP
cana-1479	63	18	graph	graph	NOUN
cana-1479	63	19	coloring	coloring	NOUN
cana-1479	63	20	in	in	ADP
cana-1479	63	21	modern	modern	ADJ
cana-1479	63	22	computer	computer	NOUN
cana-1479	63	23	science	science	NOUN
cana-1479	63	24	”	"	PUNCT
cana-1479	63	25	,	,	PUNCT
cana-1479	63	26	ijcit	ijcit	NOUN
cana-1479	63	27	,	,	PUNCT
cana-1479	63	28	vol	vol	NOUN
cana-1479	63	29	.	.	PUNCT
cana-1479	64	1	3(2	3(2	NUM
cana-1479	64	2	)	)	PUNCT
cana-1479	64	3	2012	2012	NUM
cana-1479	64	4	,	,	PUNCT
cana-1479	64	5	1	1	NUM
cana-1479	64	6	-	-	SYM
cana-1479	64	7	7	7	NUM
cana-1479	64	8	.	.	PUNCT
cana-1479	65	1	[	[	X
cana-1479	65	2	2	2	X
cana-1479	65	3	]	]	PUNCT
cana-1479	65	4	arun	arun	PROPN
cana-1479	65	5	kumar	kumar	PROPN
cana-1479	65	6	baruah	baruah	PROPN
cana-1479	65	7	,	,	PUNCT
cana-1479	65	8	“	"	PUNCT
cana-1479	65	9	traffic	traffic	NOUN
cana-1479	65	10	control	control	NOUN
cana-1479	65	11	problems	problem	NOUN
cana-1479	65	12	using	use	VERB
cana-1479	65	13	graph	graph	NOUN
cana-1479	65	14	connectivity	connectivity	NOUN
cana-1479	65	15	”	"	PUNCT
cana-1479	65	16	,	,	PUNCT
cana-1479	65	17	international	international	ADJ
cana-1479	65	18	journal	journal	NOUN
cana-1479	65	19	of	of	ADP
cana-1479	65	20	computer	computer	NOUN
cana-1479	65	21	applications	application	NOUN
cana-1479	65	22	,	,	PUNCT
cana-1479	65	23	vol	vol	NOUN
cana-1479	65	24	.	.	PUNCT
cana-1479	65	25	86(11	86(11	NUM
cana-1479	65	26	)	)	PUNCT
cana-1479	65	27	2014	2014	NUM
cana-1479	65	28	,	,	PUNCT
cana-1479	65	29	1	1	NUM
cana-1479	65	30	-	-	SYM
cana-1479	65	31	3	3	NUM
cana-1479	65	32	.	.	PUNCT
cana-1479	66	1	[	[	X
cana-1479	66	2	3	3	X
cana-1479	66	3	]	]	X
cana-1479	66	4	arthur	arthur	PROPN
cana-1479	66	5	benamin	benamin	PROPN
cana-1479	66	6	et	et	PROPN
cana-1479	66	7	al	al	PROPN
cana-1479	66	8	.	.	PUNCT
cana-1479	67	1	“	"	PUNCT
cana-1479	67	2	the	the	DET
cana-1479	67	3	fascinating	fascinating	ADJ
cana-1479	67	4	world	world	NOUN
cana-1479	67	5	of	of	ADP
cana-1479	67	6	graph	graph	NOUN
cana-1479	67	7	theory	theory	NOUN
cana-1479	67	8	”	"	PUNCT
cana-1479	67	9	2015	2015	NUM
cana-1479	67	10	,	,	PUNCT
cana-1479	67	11	princeton	princeton	PROPN
cana-1479	67	12	university	university	PROPN
cana-1479	67	13	press	press	NOUN
cana-1479	67	14	.	.	PUNCT
cana-1479	68	1	[	[	X
cana-1479	68	2	4	4	X
cana-1479	68	3	]	]	PUNCT
cana-1479	68	4	shakera	shakera	NOUN
cana-1479	68	5	tanveer	tanveer	NOUN
cana-1479	68	6	“	"	PUNCT
cana-1479	68	7	application	application	NOUN
cana-1479	68	8	of	of	ADP
cana-1479	68	9	graph	graph	NOUN
cana-1479	68	10	theory	theory	NOUN
cana-1479	68	11	in	in	ADP
cana-1479	68	12	representing	represent	VERB
cana-1479	68	13	and	and	CCONJ
cana-1479	68	14	modelling	model	VERB
cana-1479	68	15	traffic	traffic	NOUN
cana-1479	68	16	control	control	NOUN
cana-1479	68	17	problems	problem	NOUN
cana-1479	68	18	”	"	PUNCT
cana-1479	68	19	,	,	PUNCT
cana-1479	68	20	international	international	ADJ
cana-1479	68	21	journal	journal	NOUN
cana-1479	68	22	of	of	ADP
cana-1479	68	23	mathematics	mathematics	PROPN
cana-1479	68	24	and	and	CCONJ
cana-1479	68	25	computer	computer	NOUN
cana-1479	68	26	applications	application	NOUN
cana-1479	68	27	research	research	NOUN
cana-1479	68	28	,	,	PUNCT
cana-1479	68	29	vol.6(3	vol.6(3	NOUN
cana-1479	68	30	)	)	PUNCT
cana-1479	68	31	2016	2016	NUM
cana-1479	68	32	,	,	PUNCT
cana-1479	68	33	29	29	NUM
cana-1479	68	34	-	-	SYM
cana-1479	68	35	34	34	NUM
cana-1479	68	36	.	.	PUNCT
cana-1479	69	1	[	[	X
cana-1479	69	2	5	5	NUM
cana-1479	69	3	]	]	PUNCT
cana-1479	69	4	nasim	nasim	PROPN
cana-1479	69	5	asghary	asghary	PROPN
cana-1479	69	6	,	,	PUNCT
cana-1479	69	7	ahmed	ahmed	PROPN
cana-1479	69	8	shahvarani	shahvarani	PROPN
cana-1479	69	9	,	,	PUNCT
cana-1479	69	10	ahmed	ahmed	PROPN
cana-1479	69	11	reza	reza	PROPN
cana-1479	69	12	haghighi	haghighi	PROPN
cana-1479	69	13	,	,	PUNCT
cana-1479	69	14	“	"	PUNCT
cana-1479	69	15	graph	graph	NOUN
cana-1479	69	16	theory	theory	NOUN
cana-1479	69	17	as	as	ADP
cana-1479	69	18	a	a	DET
cana-1479	69	19	tool	tool	NOUN
cana-1479	69	20	for	for	ADP
cana-1479	69	21	teaching	teach	VERB
cana-1479	69	22	mathematical	mathematical	ADJ
cana-1479	69	23	processes	process	NOUN
cana-1479	69	24	”	"	PUNCT
cana-1479	69	25	,	,	PUNCT
cana-1479	69	26	int	int	NOUN
cana-1479	69	27	.	.	PUNCT
cana-1479	70	1	j.	j.	PROPN
cana-1479	71	1	for	for	ADP
cana-1479	71	2	crossdisciplinary	crossdisciplinary	ADJ
cana-1479	71	3	subjects	subject	NOUN
cana-1479	71	4	in	in	ADP
cana-1479	71	5	education	education	NOUN
cana-1479	71	6	,	,	PUNCT
cana-1479	71	7	vol	vol	NOUN
cana-1479	71	8	.	.	NOUN
cana-1479	71	9	3	3	NUM
cana-1479	71	10	(	(	PUNCT
cana-1479	71	11	2	2	NUM
cana-1479	71	12	)	)	PUNCT
cana-1479	71	13	2012,731	2012,731	NUM
cana-1479	71	14	-	-	SYM
cana-1479	71	15	734	734	NUM
cana-1479	71	16	.	.	PUNCT
cana-1479	72	1	[	[	X
cana-1479	72	2	6	6	NUM
cana-1479	72	3	]	]	PUNCT
cana-1479	72	4	c.vasudev	c.vasudev	NOUN
cana-1479	72	5	,	,	PUNCT
cana-1479	72	6	“	"	PUNCT
cana-1479	72	7	graph	graph	NOUN
cana-1479	72	8	theory	theory	NOUN
cana-1479	72	9	with	with	ADP
cana-1479	72	10	applications	application	NOUN
cana-1479	72	11	”	"	PUNCT
cana-1479	72	12	2006	2006	NUM
cana-1479	73	1	[	[	X
cana-1479	73	2	7	7	X
cana-1479	73	3	]	]	PUNCT
cana-1479	73	4	j.	j.	PROPN
cana-1479	73	5	a.	a.	PROPN
cana-1479	73	6	bondy	bondy	PROPN
cana-1479	73	7	and	and	CCONJ
cana-1479	73	8	u.	u.	PROPN
cana-1479	73	9	s.	s.	PROPN
cana-1479	74	1	r.	r.	PROPN
cana-1479	74	2	murthy	murthy	PROPN
cana-1479	74	3	“	"	PUNCT
cana-1479	74	4	graph	graph	NOUN
cana-1479	74	5	theory	theory	NOUN
cana-1479	74	6	,	,	PUNCT
cana-1479	74	7	graduate	graduate	NOUN
cana-1479	74	8	text	text	NOUN
cana-1479	74	9	in	in	ADP
cana-1479	74	10	mathematics	mathematic	NOUN
cana-1479	74	11	with	with	ADP
cana-1479	74	12	applications	application	NOUN
cana-1479	74	13	”	"	PUNCT
cana-1479	74	14	,	,	PUNCT
cana-1479	74	15	2008	2008	NUM
cana-1479	74	16	,	,	PUNCT
cana-1479	74	17	springer	springer	NOUN
cana-1479	74	18	publications	publication	NOUN
cana-1479	74	19	.	.	PUNCT
cana-1479	75	1	[	[	X
cana-1479	75	2	8	8	X
cana-1479	75	3	]	]	PUNCT
cana-1479	75	4	j.	j.	PROPN
cana-1479	75	5	a.	a.	PROPN
cana-1479	75	6	bondy	bondy	PROPN
cana-1479	75	7	and	and	CCONJ
cana-1479	75	8	u.	u.	PROPN
cana-1479	75	9	s.	s.	PROPN
cana-1479	75	10	r.	r.	PROPN
cana-1479	75	11	murthy	murthy	PROPN
cana-1479	75	12	“	"	PUNCT
cana-1479	75	13	graph	graph	NOUN
cana-1479	75	14	theory	theory	NOUN
cana-1479	75	15	with	with	ADP
cana-1479	75	16	applications”,1976	applications”,1976	PROPN
cana-1479	75	17	,	,	PUNCT
cana-1479	75	18	elsevier	elsevier	NOUN
cana-1479	75	19	publications	publication	NOUN
cana-1479	75	20	.	.	PUNCT
cana-1479	76	1	[	[	X
cana-1479	76	2	9	9	NUM
cana-1479	76	3	]	]	X
cana-1479	76	4	s.g	s.g	PROPN
cana-1479	76	5	.	.	PROPN
cana-1479	76	6	shirinivas	shirinivas	PROPN
cana-1479	76	7	,	,	PUNCT
cana-1479	76	8	s.	s.	PROPN
cana-1479	76	9	vetrivel	vetrivel	PROPN
cana-1479	76	10	,	,	PUNCT
cana-1479	76	11	m.	m.	NOUN
cana-1479	76	12	elango	elango	PROPN
cana-1479	76	13	,	,	PUNCT
cana-1479	76	14	“	"	PUNCT
cana-1479	76	15	applications	application	NOUN
cana-1479	76	16	of	of	ADP
cana-1479	76	17	graph	graph	NOUN
cana-1479	76	18	theory	theory	NOUN
cana-1479	76	19	in	in	ADP
cana-1479	76	20	computer	computer	NOUN
cana-1479	76	21	science	science	NOUN
cana-1479	76	22	review	review	PROPN
cana-1479	76	23	”	"	PUNCT
cana-1479	76	24	.	.	PUNCT
cana-1479	77	1	int	int	NOUN
cana-1479	77	2	.	.	PUNCT
cana-1479	78	1	j.	j.	PROPN
cana-1479	78	2	of	of	ADP
cana-1479	78	3	engg.sci	engg.sci	PROPN
cana-1479	78	4	.	.	PROPN
cana-1479	78	5	and	and	CCONJ
cana-1479	78	6	tech	tech	NOUN
cana-1479	78	7	.	.	PUNCT
cana-1479	78	8	,	,	PUNCT
cana-1479	78	9	vol	vol	NOUN
cana-1479	78	10	.	.	PUNCT
cana-1479	78	11	2(9	2(9	NUM
cana-1479	78	12	)	)	PUNCT
cana-1479	78	13	2010	2010	NUM
cana-1479	78	14	,	,	PUNCT
cana-1479	78	15	4610	4610	NUM
cana-1479	78	16	-	-	SYM
cana-1479	78	17	4621	4621	NUM
cana-1479	79	1	[	[	X
cana-1479	79	2	10	10	NUM
cana-1479	79	3	]	]	X
cana-1479	79	4	deo	deo	NOUN
cana-1479	79	5	,	,	PUNCT
cana-1479	79	6	n.	n.	NOUN
cana-1479	79	7	,	,	PUNCT
cana-1479	79	8	2000	2000	NUM
cana-1479	79	9	,	,	PUNCT
cana-1479	79	10	graph	graph	NOUN
cana-1479	79	11	theory	theory	NOUN
cana-1479	79	12	with	with	ADP
cana-1479	79	13	applications	application	NOUN
cana-1479	79	14	to	to	ADP
cana-1479	79	15	engineering	engineering	NOUN
cana-1479	79	16	and	and	CCONJ
cana-1479	79	17	computer	computer	NOUN
cana-1479	79	18	science	science	NOUN
cana-1479	79	19	,	,	PUNCT
cana-1479	79	20	prentice	prentice	PROPN
cana-1479	79	21	hall	hall	PROPN
cana-1479	79	22	inc	inc	PROPN
cana-1479	79	23	.	.	PROPN
cana-1479	79	24	,	,	PUNCT
cana-1479	79	25	new	new	PROPN
cana-1479	79	26	jersey	jersey	PROPN
cana-1479	79	27	.	.	PUNCT
cana-1479	80	1	[	[	X
cana-1479	80	2	11	11	NUM
cana-1479	80	3	]	]	SYM
cana-1479	80	4	guberinic	guberinic	ADJ
cana-1479	80	5	,	,	PUNCT
cana-1479	80	6	s.	s.	PROPN
cana-1479	80	7	,	,	PUNCT
cana-1479	80	8	senborn	senborn	ADJ
cana-1479	80	9	,	,	PUNCT
cana-1479	80	10	g.	g.	PROPN
cana-1479	80	11	,	,	PUNCT
cana-1479	80	12	lazic	lazic	PROPN
cana-1479	80	13	,	,	PUNCT
cana-1479	80	14	b	b	NOUN
cana-1479	80	15	...	...	SYM
cana-1479	80	16	2008	2008	NUM
cana-1479	80	17	,	,	PUNCT
cana-1479	80	18	optimal	optimal	ADJ
cana-1479	80	19	traffic	traffic	NOUN
cana-1479	80	20	control	control	NOUN
cana-1479	80	21	urban	urban	ADJ
cana-1479	80	22	intersection	intersection	NOUN
cana-1479	80	23	,	,	PUNCT
cana-1479	80	24	crc	crc	NOUN
cana-1479	80	25	press	press	NOUN
cana-1479	80	26	.	.	PUNCT