id	sid	tid	token	lemma	pos
cana-4515	1	1	communications	communication	NOUN
cana-4515	1	2	on	on	ADP
cana-4515	1	3	applied	apply	VERB
cana-4515	1	4	nonlinear	nonlinear	ADJ
cana-4515	1	5	analysis	analysis	NOUN
cana-4515	1	6	issn	issn	NOUN
cana-4515	1	7	:	:	PUNCT
cana-4515	1	8	1074	1074	NUM
cana-4515	1	9	-	-	PUNCT
cana-4515	1	10	133x	133x	NUM
cana-4515	1	11	vol	vol	NOUN
cana-4515	1	12	32	32	NUM
cana-4515	1	13	no	no	NOUN
cana-4515	1	14	.	.	PUNCT
cana-4515	2	1	9s	9s	NUM
cana-4515	2	2	(	(	PUNCT
cana-4515	2	3	2025	2025	NUM
cana-4515	2	4	)	)	PUNCT
cana-4515	2	5	2290	2290	NUM
cana-4515	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4515	2	7	complexity	complexity	NOUN
cana-4515	2	8	of	of	ADP
cana-4515	2	9	types	type	NOUN
cana-4515	2	10	of	of	ADP
cana-4515	2	11	trapezoidal	trapezoidal	ADJ
cana-4515	2	12	graphs	graph	NOUN
cana-4515	2	13	iqbal	iqbal	PROPN
cana-4515	2	14	m.	m.	PROPN
cana-4515	2	15	batiha1,2	batiha1,2	PROPN
cana-4515	2	16	,	,	PUNCT
cana-4515	2	17	*	*	PROPN
cana-4515	2	18	,	,	PUNCT
cana-4515	2	19	belal	belal	NOUN
cana-4515	2	20	batiha3	batiha3	NOUN
cana-4515	2	21	,	,	PUNCT
cana-4515	3	1	iqbal	iqbal	PROPN
cana-4515	3	2	h.	h.	PROPN
cana-4515	3	3	jebril1	jebril1	PROPN
cana-4515	3	4	,	,	PUNCT
cana-4515	3	5	hamzah	hamzah	PROPN
cana-4515	3	6	o.	o.	PROPN
cana-4515	3	7	al	al	PROPN
cana-4515	3	8	-	-	PUNCT
cana-4515	3	9	khawaldeh4	khawaldeh4	PROPN
cana-4515	3	10	,	,	PUNCT
cana-4515	3	11	basma	basma	VERB
cana-4515	3	12	mohamed5	mohamed5	ADJ
cana-4515	3	13	1department	1department	NUM
cana-4515	3	14	of	of	ADP
cana-4515	3	15	mathematics	mathematic	NOUN
cana-4515	3	16	,	,	PUNCT
cana-4515	3	17	al	al	PROPN
cana-4515	3	18	zaytoonah	zaytoonah	PROPN
cana-4515	3	19	university	university	PROPN
cana-4515	3	20	of	of	ADP
cana-4515	3	21	jordan	jordan	PROPN
cana-4515	3	22	,	,	PUNCT
cana-4515	3	23	amman	amman	PROPN
cana-4515	3	24	11733	11733	NUM
cana-4515	3	25	,	,	PUNCT
cana-4515	3	26	jordan	jordan	PROPN
cana-4515	3	27	2nonlinear	2nonlinear	NUM
cana-4515	3	28	dynamics	dynamic	NOUN
cana-4515	3	29	research	research	NOUN
cana-4515	3	30	center	center	NOUN
cana-4515	3	31	(	(	PUNCT
cana-4515	3	32	ndrc	ndrc	PROPN
cana-4515	3	33	)	)	PUNCT
cana-4515	3	34	,	,	PUNCT
cana-4515	3	35	ajman	ajman	PROPN
cana-4515	3	36	university	university	PROPN
cana-4515	3	37	,	,	PUNCT
cana-4515	3	38	ajman	ajman	NOUN
cana-4515	3	39	346	346	NUM
cana-4515	3	40	,	,	PUNCT
cana-4515	3	41	united	united	PROPN
cana-4515	3	42	arab	arab	PROPN
cana-4515	3	43	emirates	emirates	PROPN
cana-4515	4	1	3department	3department	NUM
cana-4515	4	2	of	of	ADP
cana-4515	4	3	mathematics	mathematic	NOUN
cana-4515	4	4	,	,	PUNCT
cana-4515	4	5	faculty	faculty	NOUN
cana-4515	4	6	of	of	ADP
cana-4515	4	7	science	science	NOUN
cana-4515	4	8	and	and	CCONJ
cana-4515	4	9	information	information	NOUN
cana-4515	4	10	technology	technology	NOUN
cana-4515	4	11	,	,	PUNCT
cana-4515	4	12	jadara	jadara	PROPN
cana-4515	4	13	university	university	PROPN
cana-4515	4	14	,	,	PUNCT
cana-4515	4	15	irbid	irbid	PROPN
cana-4515	4	16	,	,	PUNCT
cana-4515	4	17	jordan	jordan	PROPN
cana-4515	4	18	4department	4department	NUM
cana-4515	4	19	of	of	ADP
cana-4515	4	20	mathematics	mathematic	NOUN
cana-4515	4	21	,	,	PUNCT
cana-4515	4	22	al	al	PROPN
cana-4515	4	23	al	al	PROPN
cana-4515	4	24	-	-	PUNCT
cana-4515	4	25	bayt	bayt	ADJ
cana-4515	4	26	university	university	NOUN
cana-4515	4	27	,	,	PUNCT
cana-4515	4	28	mafraq	mafraq	PROPN
cana-4515	4	29	,	,	PUNCT
cana-4515	4	30	jordan	jordan	PROPN
cana-4515	4	31	5giza	5giza	NUM
cana-4515	4	32	higher	high	ADJ
cana-4515	4	33	institute	institute	NOUN
cana-4515	4	34	for	for	ADP
cana-4515	4	35	managerial	managerial	ADJ
cana-4515	4	36	sciences	sciences	PROPN
cana-4515	4	37	,	,	PUNCT
cana-4515	4	38	tomah	tomah	PROPN
cana-4515	4	39	,	,	PUNCT
cana-4515	4	40	eygpt	eygpt	PROPN
cana-4515	4	41	article	article	NOUN
cana-4515	4	42	history	history	NOUN
cana-4515	4	43	:	:	PUNCT
cana-4515	4	44	received	receive	VERB
cana-4515	4	45	:	:	PUNCT
cana-4515	4	46	12	12	NUM
cana-4515	4	47	-	-	SYM
cana-4515	4	48	01	01	NUM
cana-4515	4	49	-	-	PUNCT
cana-4515	4	50	2025	2025	NUM
cana-4515	4	51	revised	revise	VERB
cana-4515	4	52	:	:	PUNCT
cana-4515	4	53	15	15	NUM
cana-4515	4	54	-	-	NUM
cana-4515	4	55	02	02	NUM
cana-4515	4	56	-	-	PUNCT
cana-4515	4	57	2025	2025	NUM
cana-4515	4	58	accepted	accept	VERB
cana-4515	4	59	:	:	PUNCT
cana-4515	4	60	01	01	NUM
cana-4515	4	61	-	-	SYM
cana-4515	4	62	03	03	NUM
cana-4515	4	63	-	-	PUNCT
cana-4515	4	64	2025	2025	NUM
cana-4515	4	65	abstract	abstract	NOUN
cana-4515	4	66	:	:	PUNCT
cana-4515	4	67	the	the	DET
cana-4515	4	68	number	number	NOUN
cana-4515	4	69	of	of	ADP
cana-4515	4	70	spanning	span	VERB
cana-4515	4	71	trees	tree	NOUN
cana-4515	4	72	in	in	ADP
cana-4515	4	73	graphs	graph	NOUN
cana-4515	4	74	(	(	PUNCT
cana-4515	4	75	networks	network	NOUN
cana-4515	4	76	)	)	PUNCT
cana-4515	4	77	is	be	AUX
cana-4515	4	78	a	a	DET
cana-4515	4	79	fundamental	fundamental	ADJ
cana-4515	4	80	invariant	invariant	NOUN
cana-4515	4	81	that	that	PRON
cana-4515	4	82	plays	play	VERB
cana-4515	4	83	a	a	DET
cana-4515	4	84	crucial	crucial	ADJ
cana-4515	4	85	role	role	NOUN
cana-4515	4	86	in	in	ADP
cana-4515	4	87	measuring	measure	VERB
cana-4515	4	88	the	the	DET
cana-4515	4	89	reliability	reliability	NOUN
cana-4515	4	90	and	and	CCONJ
cana-4515	4	91	connectivity	connectivity	NOUN
cana-4515	4	92	of	of	ADP
cana-4515	4	93	a	a	DET
cana-4515	4	94	network	network	NOUN
cana-4515	4	95	.	.	PUNCT
cana-4515	5	1	it	it	PRON
cana-4515	5	2	is	be	AUX
cana-4515	5	3	particularly	particularly	ADV
cana-4515	5	4	significant	significant	ADJ
cana-4515	5	5	in	in	ADP
cana-4515	5	6	various	various	ADJ
cana-4515	5	7	applications	application	NOUN
cana-4515	5	8	,	,	PUNCT
cana-4515	5	9	including	include	VERB
cana-4515	5	10	network	network	NOUN
cana-4515	5	11	design	design	NOUN
cana-4515	5	12	,	,	PUNCT
cana-4515	5	13	circuit	circuit	NOUN
cana-4515	5	14	analysis	analysis	NOUN
cana-4515	5	15	,	,	PUNCT
cana-4515	5	16	and	and	CCONJ
cana-4515	5	17	structural	structural	ADJ
cana-4515	5	18	stability	stability	NOUN
cana-4515	5	19	assessments	assessment	NOUN
cana-4515	5	20	.	.	PUNCT
cana-4515	6	1	in	in	ADP
cana-4515	6	2	this	this	DET
cana-4515	6	3	paper	paper	NOUN
cana-4515	6	4	,	,	PUNCT
cana-4515	6	5	we	we	PRON
cana-4515	6	6	derive	derive	VERB
cana-4515	6	7	explicit	explicit	ADJ
cana-4515	6	8	and	and	CCONJ
cana-4515	6	9	simplified	simplified	ADJ
cana-4515	6	10	formulas	formula	NOUN
cana-4515	6	11	for	for	ADP
cana-4515	6	12	computing	compute	VERB
cana-4515	6	13	the	the	DET
cana-4515	6	14	complexity	complexity	NOUN
cana-4515	6	15	of	of	ADP
cana-4515	6	16	specific	specific	ADJ
cana-4515	6	17	classes	class	NOUN
cana-4515	6	18	of	of	ADP
cana-4515	6	19	graphs	graph	NOUN
cana-4515	6	20	,	,	PUNCT
cana-4515	6	21	particularly	particularly	ADV
cana-4515	6	22	trapezoidal	trapezoidal	ADJ
cana-4515	6	23	graphs	graph	NOUN
cana-4515	6	24	,	,	PUNCT
cana-4515	6	25	using	use	VERB
cana-4515	6	26	advanced	advanced	ADJ
cana-4515	6	27	techniques	technique	NOUN
cana-4515	6	28	from	from	ADP
cana-4515	6	29	linear	linear	ADJ
cana-4515	6	30	algebra	algebra	NOUN
cana-4515	6	31	and	and	CCONJ
cana-4515	6	32	matrix	matrix	NOUN
cana-4515	6	33	analysis	analysis	NOUN
cana-4515	6	34	.	.	PUNCT
cana-4515	7	1	by	by	ADP
cana-4515	7	2	leveraging	leverage	VERB
cana-4515	7	3	kirchhoff	kirchhoff	NOUN
cana-4515	7	4	's	's	PART
cana-4515	7	5	matrix	matrix	NOUN
cana-4515	7	6	tree	tree	NOUN
cana-4515	7	7	theorem	theorem	NOUN
cana-4515	7	8	and	and	CCONJ
cana-4515	7	9	eigenvalue	eigenvalue	NOUN
cana-4515	7	10	-	-	PUNCT
cana-4515	7	11	based	base	VERB
cana-4515	7	12	formulations	formulation	NOUN
cana-4515	7	13	,	,	PUNCT
cana-4515	7	14	we	we	PRON
cana-4515	7	15	establish	establish	VERB
cana-4515	7	16	efficient	efficient	ADJ
cana-4515	7	17	methods	method	NOUN
cana-4515	7	18	for	for	ADP
cana-4515	7	19	determining	determine	VERB
cana-4515	7	20	the	the	DET
cana-4515	7	21	number	number	NOUN
cana-4515	7	22	of	of	ADP
cana-4515	7	23	spanning	span	VERB
cana-4515	7	24	trees	tree	NOUN
cana-4515	7	25	.	.	PUNCT
cana-4515	8	1	additionally	additionally	ADV
cana-4515	8	2	,	,	PUNCT
cana-4515	8	3	we	we	PRON
cana-4515	8	4	explore	explore	VERB
cana-4515	8	5	computational	computational	ADJ
cana-4515	8	6	approaches	approach	NOUN
cana-4515	8	7	such	such	ADJ
cana-4515	8	8	as	as	ADP
cana-4515	8	9	chio	chio	PROPN
cana-4515	8	10	’s	’s	PART
cana-4515	8	11	condensation	condensation	NOUN
cana-4515	8	12	and	and	CCONJ
cana-4515	8	13	dodgson	dodgson	NOUN
cana-4515	8	14	’s	’s	PART
cana-4515	8	15	method	method	NOUN
cana-4515	8	16	to	to	PART
cana-4515	8	17	enhance	enhance	VERB
cana-4515	8	18	the	the	DET
cana-4515	8	19	accuracy	accuracy	NOUN
cana-4515	8	20	and	and	CCONJ
cana-4515	8	21	efficiency	efficiency	NOUN
cana-4515	8	22	of	of	ADP
cana-4515	8	23	determinant	determinant	ADJ
cana-4515	8	24	calculations	calculation	NOUN
cana-4515	8	25	related	relate	VERB
cana-4515	8	26	to	to	AUX
cana-4515	8	27	graph	graph	NOUN
cana-4515	8	28	laplacians	laplacian	NOUN
cana-4515	8	29	.	.	PUNCT
cana-4515	9	1	the	the	DET
cana-4515	9	2	results	result	NOUN
cana-4515	9	3	obtained	obtain	VERB
cana-4515	9	4	provide	provide	VERB
cana-4515	9	5	a	a	DET
cana-4515	9	6	deeper	deep	ADJ
cana-4515	9	7	insight	insight	NOUN
cana-4515	9	8	into	into	ADP
cana-4515	9	9	the	the	DET
cana-4515	9	10	structural	structural	ADJ
cana-4515	9	11	properties	property	NOUN
cana-4515	9	12	of	of	ADP
cana-4515	9	13	trapezoidal	trapezoidal	ADJ
cana-4515	9	14	graphs	graph	NOUN
cana-4515	9	15	and	and	CCONJ
cana-4515	9	16	their	their	PRON
cana-4515	9	17	spanning	span	VERB
cana-4515	9	18	tree	tree	NOUN
cana-4515	9	19	enumeration	enumeration	NOUN
cana-4515	9	20	,	,	PUNCT
cana-4515	9	21	offering	offer	VERB
cana-4515	9	22	potential	potential	ADJ
cana-4515	9	23	applications	application	NOUN
cana-4515	9	24	in	in	ADP
cana-4515	9	25	combinatorial	combinatorial	ADJ
cana-4515	9	26	optimization	optimization	NOUN
cana-4515	9	27	,	,	PUNCT
cana-4515	9	28	network	network	NOUN
cana-4515	9	29	topology	topology	NOUN
cana-4515	9	30	analysis	analysis	NOUN
cana-4515	9	31	,	,	PUNCT
cana-4515	9	32	and	and	CCONJ
cana-4515	9	33	applied	apply	VERB
cana-4515	9	34	mathematics	mathematic	NOUN
cana-4515	9	35	.	.	PUNCT
cana-4515	10	1	keywords	keyword	NOUN
cana-4515	10	2	:	:	PUNCT
cana-4515	10	3	edge	edge	NOUN
cana-4515	10	4	contraction	contraction	NOUN
cana-4515	10	5	,	,	PUNCT
cana-4515	10	6	spanning	span	VERB
cana-4515	10	7	trees	tree	NOUN
cana-4515	10	8	,	,	PUNCT
cana-4515	10	9	trapezoidal	trapezoidal	ADJ
cana-4515	10	10	graphs	graph	NOUN
cana-4515	10	11	.	.	PUNCT
cana-4515	11	1	1	1	X
cana-4515	11	2	.	.	X
cana-4515	11	3	introduction	introduction	NOUN
cana-4515	11	4	we	we	PRON
cana-4515	11	5	provide	provide	VERB
cana-4515	11	6	some	some	DET
cana-4515	11	7	fundamental	fundamental	ADJ
cana-4515	11	8	definitions	definition	NOUN
cana-4515	11	9	and	and	CCONJ
cana-4515	11	10	lemmas	lemma	NOUN
cana-4515	11	11	in	in	ADP
cana-4515	11	12	this	this	DET
cana-4515	11	13	work	work	NOUN
cana-4515	11	14	.	.	PUNCT
cana-4515	12	1	we	we	PRON
cana-4515	12	2	work	work	VERB
cana-4515	12	3	with	with	ADP
cana-4515	12	4	undirected	undirected	ADJ
cana-4515	12	5	graphs	graph	NOUN
cana-4515	12	6	g	g	NOUN
cana-4515	12	7	=	=	SYM
cana-4515	12	8	(	(	PUNCT
cana-4515	12	9	v	v	NOUN
cana-4515	12	10	,	,	PUNCT
cana-4515	12	11	e	e	NOUN
cana-4515	12	12	)	)	PUNCT
cana-4515	12	13	that	that	PRON
cana-4515	12	14	are	be	AUX
cana-4515	12	15	simple	simple	ADJ
cana-4515	12	16	and	and	CCONJ
cana-4515	12	17	finite	finite	PROPN
cana-4515	12	18	,	,	PUNCT
cana-4515	12	19	where	where	SCONJ
cana-4515	12	20	the	the	DET
cana-4515	12	21	vertex	vertex	NOUN
cana-4515	12	22	set	set	NOUN
cana-4515	12	23	is	be	AUX
cana-4515	12	24	v	v	NOUN
cana-4515	12	25	and	and	CCONJ
cana-4515	12	26	the	the	DET
cana-4515	12	27	edge	edge	NOUN
cana-4515	12	28	set	set	NOUN
cana-4515	12	29	is	be	AUX
cana-4515	12	30	e.	e.	PROPN
cana-4515	12	31	a	a	DET
cana-4515	12	32	tree	tree	NOUN
cana-4515	12	33	that	that	PRON
cana-4515	12	34	has	have	VERB
cana-4515	12	35	the	the	DET
cana-4515	12	36	same	same	ADJ
cana-4515	12	37	set	set	NOUN
cana-4515	12	38	of	of	ADP
cana-4515	12	39	vertices	vertex	NOUN
cana-4515	12	40	as	as	SCONJ
cana-4515	12	41	graph	graph	NOUN
cana-4515	12	42	g	g	PROPN
cana-4515	12	43	is	be	AUX
cana-4515	12	44	said	say	VERB
cana-4515	12	45	to	to	PART
cana-4515	12	46	be	be	AUX
cana-4515	12	47	a	a	DET
cana-4515	12	48	spanning	span	VERB
cana-4515	12	49	tree	tree	NOUN
cana-4515	12	50	in	in	ADP
cana-4515	12	51	graph	graph	NOUN
cana-4515	12	52	g.	g.	NOUN
cana-4515	12	53	the	the	DET
cana-4515	12	54	number	number	NOUN
cana-4515	12	55	of	of	ADP
cana-4515	12	56	spanning	span	VERB
cana-4515	12	57	trees	tree	NOUN
cana-4515	12	58	in	in	ADP
cana-4515	12	59	g	g	NOUN
cana-4515	12	60	,	,	PUNCT
cana-4515	12	61	commonly	commonly	ADV
cana-4515	12	62	known	know	VERB
cana-4515	12	63	as	as	ADP
cana-4515	12	64	the	the	DET
cana-4515	12	65	graph	graph	NOUN
cana-4515	12	66	's	's	PART
cana-4515	12	67	complexity	complexity	NOUN
cana-4515	12	68	and	and	CCONJ
cana-4515	12	69	represented	represent	VERB
cana-4515	12	70	by	by	ADP
cana-4515	12	71	τ(g	τ(g	PROPN
cana-4515	12	72	)	)	PUNCT
cana-4515	12	73	,	,	PUNCT
cana-4515	12	74	is	be	AUX
cana-4515	12	75	a	a	DET
cana-4515	12	76	quantity	quantity	NOUN
cana-4515	12	77	that	that	PRON
cana-4515	12	78	has	have	AUX
cana-4515	12	79	been	be	AUX
cana-4515	12	80	extensively	extensively	ADV
cana-4515	12	81	explored	explore	VERB
cana-4515	12	82	and	and	CCONJ
cana-4515	12	83	found	find	VERB
cana-4515	12	84	in	in	ADP
cana-4515	12	85	many	many	ADJ
cana-4515	12	86	different	different	ADJ
cana-4515	12	87	applications	application	NOUN
cana-4515	12	88	.	.	PUNCT
cana-4515	13	1	the	the	DET
cana-4515	13	2	three	three	NUM
cana-4515	13	3	most	most	ADV
cana-4515	13	4	common	common	ADJ
cana-4515	13	5	application	application	NOUN
cana-4515	13	6	domains	domain	NOUN
cana-4515	13	7	are	be	AUX
cana-4515	13	8	measuring	measure	VERB
cana-4515	13	9	the	the	DET
cana-4515	13	10	number	number	NOUN
cana-4515	13	11	of	of	ADP
cana-4515	13	12	eulerian	eulerian	ADJ
cana-4515	13	13	circuits	circuit	NOUN
cana-4515	13	14	in	in	ADP
cana-4515	13	15	a	a	DET
cana-4515	13	16	graph	graph	NOUN
cana-4515	13	17	[	[	X
cana-4515	13	18	1	1	NUM
cana-4515	13	19	]	]	PUNCT
cana-4515	13	20	,	,	PUNCT
cana-4515	13	21	identifying	identify	VERB
cana-4515	13	22	specific	specific	ADJ
cana-4515	13	23	chemical	chemical	NOUN
cana-4515	13	24	isomers	isomer	NOUN
cana-4515	13	25	[	[	X
cana-4515	13	26	2	2	NUM
cana-4515	13	27	]	]	PUNCT
cana-4515	13	28	,	,	PUNCT
cana-4515	13	29	and	and	CCONJ
cana-4515	13	30	network	network	NOUN
cana-4515	13	31	dependability	dependability	NOUN
cana-4515	13	32	[	[	X
cana-4515	13	33	3	3	NUM
cana-4515	13	34	-	-	SYM
cana-4515	13	35	5	5	NUM
cana-4515	13	36	]	]	PUNCT
cana-4515	13	37	.	.	PUNCT
cana-4515	14	1	for	for	ADP
cana-4515	14	2	g	g	PROPN
cana-4515	14	3	=	=	SYM
cana-4515	14	4	(	(	PUNCT
cana-4515	14	5	v	v	NOUN
cana-4515	14	6	,	,	PUNCT
cana-4515	14	7	e	e	NOUN
cana-4515	14	8	)	)	PUNCT
cana-4515	14	9	,	,	PUNCT
cana-4515	14	10	the	the	DET
cana-4515	14	11	number	number	NOUN
cana-4515	14	12	of	of	ADP
cana-4515	14	13	spanning	span	VERB
cana-4515	14	14	trees	tree	NOUN
cana-4515	14	15	may	may	AUX
cana-4515	14	16	be	be	AUX
cana-4515	14	17	found	find	VERB
cana-4515	14	18	using	use	VERB
cana-4515	14	19	the	the	DET
cana-4515	14	20	standard	standard	ADJ
cana-4515	14	21	result	result	NOUN
cana-4515	14	22	of	of	ADP
cana-4515	14	23	kirchhoff	kirchhoff	NOUN
cana-4515	15	1	[	[	X
cana-4515	15	2	6	6	NUM
cana-4515	15	3	]	]	PUNCT
cana-4515	15	4	.	.	PUNCT
cana-4515	16	1	the	the	DET
cana-4515	16	2	kirchhoff	kirchhoff	PROPN
cana-4515	16	3	matrix	matrix	NOUN
cana-4515	16	4	h	h	NOUN
cana-4515	16	5	is	be	AUX
cana-4515	16	6	defined	define	VERB
cana-4515	16	7	as	as	ADP
cana-4515	16	8	the	the	DET
cana-4515	16	9	n	n	NUM
cana-4515	16	10	×	×	NOUN
cana-4515	16	11	n	n	CCONJ
cana-4515	16	12	characteristic	characteristic	ADJ
cana-4515	16	13	matrix	matrix	NOUN
cana-4515	16	14	h	h	NOUN
cana-4515	16	15	=	=	SYM
cana-4515	17	1	d	d	NOUN
cana-4515	17	2	−a	−a	NOUN
cana-4515	17	3	,	,	PUNCT
cana-4515	17	4	where	where	SCONJ
cana-4515	17	5	d	d	NOUN
cana-4515	17	6	is	be	AUX
cana-4515	17	7	the	the	DET
cana-4515	17	8	diagonal	diagonal	ADJ
cana-4515	17	9	matrix	matrix	NOUN
cana-4515	17	10	of	of	ADP
cana-4515	17	11	the	the	DET
cana-4515	17	12	degrees	degree	NOUN
cana-4515	17	13	of	of	ADP
cana-4515	17	14	g	g	NOUN
cana-4515	17	15	and	and	CCONJ
cana-4515	17	16	a	a	PRON
cana-4515	17	17	is	be	AUX
cana-4515	17	18	its	its	PRON
cana-4515	17	19	adjacency	adjacency	NOUN
cana-4515	17	20	matrix	matrix	NOUN
cana-4515	17	21	.	.	PUNCT
cana-4515	18	1	h	h	NOUN
cana-4515	19	1	=	=	PUNCT
cana-4515	20	1	[	[	X
cana-4515	20	2	𝑎𝑖𝑗	𝑎𝑖𝑗	X
cana-4515	20	3	]	]	PUNCT
cana-4515	20	4	is	be	AUX
cana-4515	20	5	defined	define	VERB
cana-4515	20	6	as	as	SCONJ
cana-4515	20	7	follows	follow	VERB
cana-4515	20	8	:	:	PUNCT
cana-4515	20	9	when	when	SCONJ
cana-4515	20	10	i	i	PRON
cana-4515	20	11	=	=	SYM
cana-4515	20	12	j	j	PROPN
cana-4515	20	13	,	,	PUNCT
cana-4515	20	14	then	then	ADV
cana-4515	20	15	(	(	PUNCT
cana-4515	20	16	i	i	NOUN
cana-4515	20	17	)	)	PUNCT
cana-4515	20	18	𝑎𝑖𝑗=	𝑎𝑖𝑗=	PROPN
cana-4515	20	19	−1	−1	NOUN
cana-4515	20	20	,	,	PUNCT
cana-4515	20	21	𝑣𝑖	𝑣𝑖	ADV
cana-4515	20	22	and	and	CCONJ
cana-4515	20	23	𝑣𝑗	𝑣𝑗	ADP
cana-4515	20	24	are	be	AUX
cana-4515	20	25	nearby	nearby	ADJ
cana-4515	20	26	,	,	PUNCT
cana-4515	20	27	and	and	CCONJ
cana-4515	20	28	(	(	PUNCT
cana-4515	20	29	ii	ii	NOUN
cana-4515	20	30	)	)	PUNCT
cana-4515	20	31	𝑎𝑖𝑗	𝑎𝑖𝑗	NOUN
cana-4515	20	32	equals	equal	VERB
cana-4515	20	33	the	the	DET
cana-4515	20	34	degree	degree	NOUN
cana-4515	20	35	of	of	ADP
cana-4515	20	36	vertex	vertex	NOUN
cana-4515	20	37	𝑎𝑖𝑗	𝑎𝑖𝑗	NOUN
cana-4515	20	38	;	;	PUNCT
cana-4515	20	39	otherwise	otherwise	ADV
cana-4515	20	40	,	,	PUNCT
cana-4515	20	41	(	(	PUNCT
cana-4515	20	42	iii	iii	X
cana-4515	20	43	)	)	PUNCT
cana-4515	20	44	𝑎𝑖𝑗=	𝑎𝑖𝑗=	PROPN
cana-4515	20	45	0	0	NUM
cana-4515	20	46	.	.	PUNCT
cana-4515	21	1	every	every	DET
cana-4515	21	2	co	co	NOUN
cana-4515	21	3	-	-	NOUN
cana-4515	21	4	factor	factor	NOUN
cana-4515	21	5	of	of	ADP
cana-4515	21	6	h	h	NOUN
cana-4515	21	7	is	be	AUX
cana-4515	21	8	equivalent	equivalent	ADJ
cana-4515	21	9	to	to	ADP
cana-4515	21	10	τ(g	τ(g	PROPN
cana-4515	21	11	)	)	PUNCT
cana-4515	21	12	.	.	PUNCT
cana-4515	22	1	there	there	PRON
cana-4515	22	2	are	be	VERB
cana-4515	22	3	several	several	ADJ
cana-4515	22	4	ways	way	NOUN
cana-4515	22	5	to	to	PART
cana-4515	22	6	compute	compute	VERB
cana-4515	22	7	τ(g	τ(g	PROPN
cana-4515	22	8	)	)	PUNCT
cana-4515	22	9	.	.	PUNCT
cana-4515	23	1	let	let	VERB
cana-4515	23	2	𝜇1	𝜇1	PROPN
cana-4515	23	3	≥	≥	NOUN
cana-4515	23	4	𝜇2	𝜇2	PROPN
cana-4515	23	5	≥.	≥.	NOUN
cana-4515	23	6	.	.	PUNCT
cana-4515	23	7	.	.	PUNCT
cana-4515	24	1	≥	≥	PROPN
cana-4515	24	2	𝜇𝑝	𝜇𝑝	PROPN
cana-4515	24	3	indicate	indicate	VERB
cana-4515	24	4	the	the	DET
cana-4515	24	5	eigenvalues	eigenvalue	NOUN
cana-4515	24	6	of	of	ADP
cana-4515	24	7	h	h	NOUN
cana-4515	24	8	matrix	matrix	NOUN
cana-4515	24	9	of	of	ADP
cana-4515	24	10	a	a	DET
cana-4515	24	11	p	p	NOUN
cana-4515	24	12	point	point	NOUN
cana-4515	24	13	graph	graph	NOUN
cana-4515	24	14	.	.	PUNCT
cana-4515	25	1	then	then	ADV
cana-4515	25	2	,	,	PUNCT
cana-4515	25	3	it	it	PRON
cana-4515	25	4	can	can	AUX
cana-4515	25	5	be	be	AUX
cana-4515	25	6	demonstrated	demonstrate	VERB
cana-4515	25	7	with	with	ADP
cana-4515	25	8	ease	ease	NOUN
cana-4515	25	9	that	that	DET
cana-4515	25	10	𝜇𝑝	𝜇𝑝	NOUN
cana-4515	26	1	=	=	NOUN
cana-4515	26	2	0	0	PROPN
cana-4515	26	3	.	.	PUNCT
cana-4515	27	1	then	then	ADV
cana-4515	27	2	it	it	PRON
cana-4515	27	3	is	be	AUX
cana-4515	27	4	easily	easily	ADV
cana-4515	27	5	shown	show	VERB
cana-4515	27	6	that	that	SCONJ
cana-4515	27	7	0	0	X
cana-4515	27	8	.	.	PUNCT
cana-4515	28	1	furthermore	furthermore	ADV
cana-4515	28	2	,	,	PUNCT
cana-4515	28	3	kelmans	kelman	NOUN
cana-4515	28	4	and	and	CCONJ
cana-4515	28	5	chelnokov	chelnokov	NOUN
cana-4515	29	1	[	[	X
cana-4515	29	2	7	7	X
cana-4515	29	3	]	]	PUNCT
cana-4515	29	4	shown	show	VERB
cana-4515	29	5	that	that	SCONJ
cana-4515	29	6	,	,	PUNCT
cana-4515	29	7	𝜏(𝐺	𝜏(𝐺	NOUN
cana-4515	29	8	)	)	PUNCT
cana-4515	29	9	=	=	SYM
cana-4515	29	10	1/𝑝∏	1/𝑝∏	NUM
cana-4515	29	11	𝜇𝑘	𝜇𝑘	NOUN
cana-4515	29	12	𝑝−1	𝑝−1	PROPN
cana-4515	29	13	𝑘=1	𝑘=1	PROPN
cana-4515	29	14	.	.	PUNCT
cana-4515	30	1	the	the	DET
cana-4515	30	2	formula	formula	NOUN
cana-4515	30	3	for	for	ADP
cana-4515	30	4	the	the	DET
cana-4515	30	5	number	number	NOUN
cana-4515	30	6	of	of	ADP
cana-4515	30	7	spanning	span	VERB
cana-4515	30	8	trees	tree	NOUN
cana-4515	30	9	in	in	ADP
cana-4515	30	10	a	a	DET
cana-4515	30	11	dcommunications	dcommunication	NOUN
cana-4515	30	12	on	on	ADP
cana-4515	30	13	applied	apply	VERB
cana-4515	30	14	nonlinear	nonlinear	ADJ
cana-4515	30	15	analysis	analysis	NOUN
cana-4515	30	16	issn	issn	NOUN
cana-4515	30	17	:	:	PUNCT
cana-4515	30	18	1074	1074	NUM
cana-4515	30	19	-	-	PUNCT
cana-4515	30	20	133x	133x	NUM
cana-4515	30	21	vol	vol	NOUN
cana-4515	30	22	32	32	NUM
cana-4515	30	23	no	no	NOUN
cana-4515	30	24	.	.	PUNCT
cana-4515	31	1	9s	9s	NUM
cana-4515	31	2	(	(	PUNCT
cana-4515	31	3	2025	2025	NUM
cana-4515	31	4	)	)	PUNCT
cana-4515	31	5	2291	2291	NUM
cana-4515	31	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4515	31	7	regular	regular	ADJ
cana-4515	31	8	graph	graph	NOUN
cana-4515	31	9	g	g	PROPN
cana-4515	31	10	can	can	AUX
cana-4515	31	11	be	be	AUX
cana-4515	31	12	expressed	express	VERB
cana-4515	31	13	as	as	ADP
cana-4515	31	14	𝜏(𝐺	𝜏(𝐺	NOUN
cana-4515	31	15	)	)	PUNCT
cana-4515	31	16	=	=	SYM
cana-4515	31	17	1/𝑝∏	1/𝑝∏	X
cana-4515	31	18	(	(	PUNCT
cana-4515	31	19	𝑑	𝑑	PROPN
cana-4515	31	20	−	−	PROPN
cana-4515	31	21	𝜇𝑘	𝜇𝑘	NOUN
cana-4515	31	22	𝑝−1	𝑝−1	PROPN
cana-4515	31	23	𝑘=1	𝑘=1	PROPN
cana-4515	31	24	)	)	PUNCT
cana-4515	32	1	where	where	SCONJ
cana-4515	32	2	𝜆0	𝜆0	NOUN
cana-4515	32	3	=	=	SYM
cana-4515	32	4	𝑑	𝑑	NOUN
cana-4515	32	5	,	,	PUNCT
cana-4515	32	6	𝜆1	𝜆1	NOUN
cana-4515	32	7	,	,	PUNCT
cana-4515	32	8	𝜆2	𝜆2	NOUN
cana-4515	32	9	,	,	PUNCT
cana-4515	32	10	.	.	PUNCT
cana-4515	32	11	.	.	PUNCT
cana-4515	33	1	.	.	PUNCT
cana-4515	34	1	,	,	PUNCT
cana-4515	34	2	𝜆𝑝−1	𝜆𝑝−1	PROPN
cana-4515	34	3	are	be	AUX
cana-4515	34	4	the	the	DET
cana-4515	34	5	eigenvalues	eigenvalue	NOUN
cana-4515	34	6	of	of	ADP
cana-4515	34	7	the	the	DET
cana-4515	34	8	corresponding	corresponding	ADJ
cana-4515	34	9	adjacency	adjacency	NOUN
cana-4515	34	10	matrix	matrix	NOUN
cana-4515	34	11	of	of	ADP
cana-4515	34	12	the	the	DET
cana-4515	34	13	graph	graph	NOUN
cana-4515	34	14	.	.	PUNCT
cana-4515	35	1	on	on	ADP
cana-4515	35	2	the	the	DET
cana-4515	35	3	other	other	ADJ
cana-4515	35	4	hand	hand	NOUN
cana-4515	35	5	,	,	PUNCT
cana-4515	35	6	for	for	ADP
cana-4515	35	7	a	a	DET
cana-4515	35	8	small	small	ADJ
cana-4515	35	9	number	number	NOUN
cana-4515	35	10	of	of	ADP
cana-4515	35	11	unique	unique	ADJ
cana-4515	35	12	graph	graph	NOUN
cana-4515	35	13	families	family	NOUN
cana-4515	35	14	,	,	PUNCT
cana-4515	35	15	there	there	PRON
cana-4515	35	16	are	be	VERB
cana-4515	35	17	straightforward	straightforward	ADJ
cana-4515	35	18	formulas	formula	NOUN
cana-4515	35	19	that	that	PRON
cana-4515	35	20	greatly	greatly	ADV
cana-4515	35	21	simplify	simplify	VERB
cana-4515	35	22	the	the	DET
cana-4515	35	23	computation	computation	NOUN
cana-4515	35	24	and	and	CCONJ
cana-4515	35	25	determination	determination	NOUN
cana-4515	35	26	of	of	ADP
cana-4515	35	27	the	the	DET
cana-4515	35	28	number	number	NOUN
cana-4515	35	29	of	of	ADP
cana-4515	35	30	related	related	ADJ
cana-4515	35	31	spanning	span	VERB
cana-4515	35	32	trees	tree	NOUN
cana-4515	35	33	,	,	PUNCT
cana-4515	35	34	particularly	particularly	ADV
cana-4515	35	35	for	for	ADP
cana-4515	35	36	high	high	ADJ
cana-4515	35	37	numbers	number	NOUN
cana-4515	35	38	.	.	PUNCT
cana-4515	36	1	one	one	NUM
cana-4515	36	2	of	of	ADP
cana-4515	36	3	the	the	DET
cana-4515	36	4	first	first	ADJ
cana-4515	36	5	such	such	ADJ
cana-4515	36	6	result	result	NOUN
cana-4515	36	7	is	be	AUX
cana-4515	36	8	due	due	ADJ
cana-4515	36	9	to	to	ADP
cana-4515	36	10	cayley	cayley	NOUN
cana-4515	36	11	[	[	X
cana-4515	36	12	8	8	NUM
cana-4515	36	13	]	]	PUNCT
cana-4515	36	14	who	who	PRON
cana-4515	36	15	showed	show	VERB
cana-4515	36	16	that	that	DET
cana-4515	36	17	complete	complete	ADJ
cana-4515	36	18	graph	graph	NOUN
cana-4515	36	19	on	on	ADP
cana-4515	36	20	n	n	DET
cana-4515	36	21	vertices	vertex	NOUN
cana-4515	36	22	,	,	PUNCT
cana-4515	36	23	𝐾𝑛	𝐾𝑛	PROPN
cana-4515	36	24	has	have	VERB
cana-4515	36	25	𝑛𝑛−2	𝑛𝑛−2	NOUN
cana-4515	36	26	spanning	span	VERB
cana-4515	36	27	trees	tree	NOUN
cana-4515	36	28	that	that	PRON
cana-4515	36	29	he	he	PRON
cana-4515	36	30	showed	show	VERB
cana-4515	36	31	𝜏(𝐾𝑛	𝜏(𝐾𝑛	NOUN
cana-4515	36	32	)	)	PUNCT
cana-4515	36	33	=	=	SYM
cana-4515	36	34	𝑛	𝑛	DET
cana-4515	36	35	𝑛−2	𝑛−2	PROPN
cana-4515	36	36	,	,	PUNCT
cana-4515	36	37	𝑛	𝑛	PRON
cana-4515	36	38	≥	≥	NUM
cana-4515	36	39	2	2	NUM
cana-4515	36	40	and	and	CCONJ
cana-4515	36	41	𝜏(𝐾𝑝,𝑞	𝜏(𝐾𝑝,𝑞	NOUN
cana-4515	36	42	)	)	PUNCT
cana-4515	36	43	=	=	SYM
cana-4515	36	44	𝑝	𝑝	PROPN
cana-4515	36	45	𝑞−1𝑞𝑝−1𝑝	𝑞−1𝑞𝑝−1𝑝	PROPN
cana-4515	36	46	,	,	PUNCT
cana-4515	36	47	𝑞	𝑞	PROPN
cana-4515	36	48	≥	≥	PROPN
cana-4515	36	49	1	1	NUM
cana-4515	36	50	where	where	SCONJ
cana-4515	36	51	𝐾𝑝,𝑞	𝐾𝑝,𝑞	PROPN
cana-4515	36	52	is	be	AUX
cana-4515	36	53	the	the	DET
cana-4515	36	54	complete	complete	ADJ
cana-4515	36	55	bipartite	bipartite	NOUN
cana-4515	36	56	graph	graph	NOUN
cana-4515	36	57	with	with	ADP
cana-4515	36	58	bipartite	bipartite	NOUN
cana-4515	36	59	sets	set	NOUN
cana-4515	36	60	containing	contain	VERB
cana-4515	36	61	p	p	NOUN
cana-4515	36	62	and	and	CCONJ
cana-4515	36	63	q	q	NOUN
cana-4515	36	64	vertices	vertex	NOUN
cana-4515	36	65	,	,	PUNCT
cana-4515	36	66	respectively	respectively	ADV
cana-4515	36	67	.	.	PUNCT
cana-4515	37	1	it	it	PRON
cana-4515	37	2	is	be	AUX
cana-4515	37	3	well	well	ADV
cana-4515	37	4	known	know	VERB
cana-4515	37	5	,	,	PUNCT
cana-4515	37	6	as	as	ADP
cana-4515	37	7	in	in	ADP
cana-4515	37	8	e.g.	e.g.	ADV
cana-4515	37	9	,	,	PUNCT
cana-4515	37	10	[	[	X
cana-4515	37	11	9,10	9,10	NUM
cana-4515	37	12	]	]	X
cana-4515	37	13	.	.	PUNCT
cana-4515	38	1	for	for	ADP
cana-4515	38	2	sierpiński	sierpiński	ADJ
cana-4515	38	3	graphs	graph	NOUN
cana-4515	38	4	and	and	CCONJ
cana-4515	38	5	data	datum	NOUN
cana-4515	38	6	center	center	NOUN
cana-4515	38	7	networks	network	NOUN
cana-4515	38	8	,	,	PUNCT
cana-4515	38	9	zhang	zhang	PROPN
cana-4515	38	10	et	et	PROPN
cana-4515	38	11	al	al	PROPN
cana-4515	38	12	.	.	PUNCT
cana-4515	39	1	[	[	X
cana-4515	39	2	11	11	NUM
cana-4515	39	3	]	]	PUNCT
cana-4515	39	4	computed	compute	VERB
cana-4515	39	5	the	the	DET
cana-4515	39	6	spanning	span	VERB
cana-4515	39	7	tree	tree	NOUN
cana-4515	39	8	entropy	entropy	NOUN
cana-4515	39	9	.	.	PUNCT
cana-4515	40	1	linear	linear	ADJ
cana-4515	40	2	-	-	PUNCT
cana-4515	40	3	time	time	NOUN
cana-4515	40	4	techniques	technique	NOUN
cana-4515	40	5	for	for	ADP
cana-4515	40	6	calculating	calculate	VERB
cana-4515	40	7	the	the	DET
cana-4515	40	8	quantity	quantity	NOUN
cana-4515	40	9	and	and	CCONJ
cana-4515	40	10	mean	mean	ADJ
cana-4515	40	11	size	size	NOUN
cana-4515	40	12	of	of	ADP
cana-4515	40	13	connected	connected	ADJ
cana-4515	40	14	sets	set	NOUN
cana-4515	40	15	in	in	ADP
cana-4515	40	16	a	a	DET
cana-4515	40	17	planar	planar	ADJ
cana-4515	40	18	3	3	NUM
cana-4515	40	19	-	-	PUNCT
cana-4515	40	20	tree	tree	NOUN
cana-4515	40	21	were	be	AUX
cana-4515	40	22	introduced	introduce	VERB
cana-4515	40	23	by	by	ADP
cana-4515	40	24	luo	luo	PROPN
cana-4515	40	25	et	et	PROPN
cana-4515	40	26	al	al	PROPN
cana-4515	40	27	.	.	PUNCT
cana-4515	41	1	[	[	X
cana-4515	41	2	12	12	NUM
cana-4515	41	3	]	]	PUNCT
cana-4515	41	4	.	.	PUNCT
cana-4515	42	1	sotirov	sotirov	PROPN
cana-4515	42	2	et	et	PROPN
cana-4515	42	3	al	al	PROPN
cana-4515	42	4	.	.	PUNCT
cana-4515	43	1	[	[	X
cana-4515	43	2	13	13	NUM
cana-4515	43	3	]	]	PUNCT
cana-4515	43	4	constructed	construct	VERB
cana-4515	43	5	a	a	DET
cana-4515	43	6	series	series	NOUN
cana-4515	43	7	of	of	ADP
cana-4515	43	8	qmstp	qmstp	ADJ
cana-4515	43	9	relaxations	relaxation	NOUN
cana-4515	43	10	of	of	ADP
cana-4515	43	11	increasing	increase	VERB
cana-4515	43	12	complexity	complexity	NOUN
cana-4515	43	13	and	and	CCONJ
cana-4515	43	14	quality	quality	NOUN
cana-4515	43	15	by	by	ADP
cana-4515	43	16	utilizing	utilize	VERB
cana-4515	43	17	an	an	DET
cana-4515	43	18	expanded	expand	VERB
cana-4515	43	19	formulation	formulation	NOUN
cana-4515	43	20	for	for	ADP
cana-4515	43	21	the	the	DET
cana-4515	43	22	minimal	minimal	ADJ
cana-4515	43	23	spanning	span	VERB
cana-4515	43	24	tree	tree	NOUN
cana-4515	43	25	problem	problem	NOUN
cana-4515	43	26	.	.	PUNCT
cana-4515	44	1	mohamed	mohamed	PROPN
cana-4515	44	2	et	et	PROPN
cana-4515	44	3	al	al	PROPN
cana-4515	44	4	.	.	PUNCT
cana-4515	45	1	[	[	X
cana-4515	45	2	14	14	NUM
cana-4515	45	3	]	]	PUNCT
cana-4515	45	4	obtained	obtain	VERB
cana-4515	45	5	basic	basic	ADJ
cana-4515	45	6	formulae	formulae	NOUN
cana-4515	45	7	for	for	ADP
cana-4515	45	8	the	the	DET
cana-4515	45	9	number	number	NOUN
cana-4515	45	10	of	of	ADP
cana-4515	45	11	spanning	span	VERB
cana-4515	45	12	trees	tree	NOUN
cana-4515	45	13	of	of	ADP
cana-4515	45	14	specific	specific	ADJ
cana-4515	45	15	types	type	NOUN
cana-4515	45	16	of	of	ADP
cana-4515	45	17	cyclic	cyclic	ADJ
cana-4515	45	18	snake	snake	NOUN
cana-4515	45	19	graphs	graph	NOUN
cana-4515	45	20	by	by	ADP
cana-4515	45	21	applying	apply	VERB
cana-4515	45	22	matrix	matrix	NOUN
cana-4515	45	23	analysis	analysis	NOUN
cana-4515	45	24	and	and	CCONJ
cana-4515	45	25	linear	linear	NOUN
cana-4515	45	26	algebra	algebra	NOUN
cana-4515	45	27	techniques	technique	NOUN
cana-4515	45	28	.	.	PUNCT
cana-4515	46	1	daoud	daoud	PROPN
cana-4515	47	1	[	[	X
cana-4515	47	2	15	15	NUM
cana-4515	47	3	]	]	PUNCT
cana-4515	47	4	computed	compute	VERB
cana-4515	47	5	the	the	DET
cana-4515	47	6	number	number	NOUN
cana-4515	47	7	of	of	ADP
cana-4515	47	8	spanning	span	VERB
cana-4515	47	9	trees	tree	NOUN
cana-4515	47	10	of	of	ADP
cana-4515	47	11	the	the	DET
cana-4515	47	12	cartesian	cartesian	ADJ
cana-4515	47	13	and	and	CCONJ
cana-4515	47	14	composition	composition	NOUN
cana-4515	47	15	products	product	NOUN
cana-4515	47	16	of	of	ADP
cana-4515	47	17	certain	certain	ADJ
cana-4515	47	18	families	family	NOUN
cana-4515	47	19	’	'	PUNCT
cana-4515	47	20	graphs	graph	NOUN
cana-4515	47	21	.	.	PUNCT
cana-4515	48	1	in	in	ADP
cana-4515	48	2	this	this	DET
cana-4515	48	3	paper	paper	NOUN
cana-4515	48	4	,	,	PUNCT
cana-4515	48	5	we	we	PRON
cana-4515	48	6	use	use	VERB
cana-4515	48	7	matrix	matrix	NOUN
cana-4515	48	8	analysis	analysis	NOUN
cana-4515	48	9	and	and	CCONJ
cana-4515	48	10	linear	linear	NOUN
cana-4515	48	11	algebra	algebra	NOUN
cana-4515	48	12	techniques	technique	NOUN
cana-4515	48	13	to	to	PART
cana-4515	48	14	obtain	obtain	VERB
cana-4515	48	15	simple	simple	ADJ
cana-4515	48	16	expressions	expression	NOUN
cana-4515	48	17	of	of	ADP
cana-4515	48	18	the	the	DET
cana-4515	48	19	complexity	complexity	NOUN
cana-4515	48	20	of	of	ADP
cana-4515	48	21	specific	specific	ADJ
cana-4515	48	22	graphs	graph	NOUN
cana-4515	48	23	,	,	PUNCT
cana-4515	48	24	including	include	VERB
cana-4515	48	25	trapezoidal	trapezoidal	ADJ
cana-4515	48	26	graph	graph	NOUN
cana-4515	48	27	types	type	NOUN
cana-4515	48	28	.	.	PUNCT
cana-4515	49	1	1.1	1.1	NUM
cana-4515	49	2	chio	chio	PROPN
cana-4515	49	3	’s	’s	PART
cana-4515	49	4	condensation	condensation	NOUN
cana-4515	49	5	is	be	AUX
cana-4515	49	6	technique	technique	NOUN
cana-4515	49	7	to	to	PART
cana-4515	49	8	calculate	calculate	VERB
cana-4515	49	9	an	an	DET
cana-4515	49	10	n	n	NUM
cana-4515	49	11	×	×	NOUN
cana-4515	49	12	n	n	CCONJ
cana-4515	49	13	determinant	determinant	ADJ
cana-4515	49	14	using	use	VERB
cana-4515	49	15	(	(	PUNCT
cana-4515	49	16	n	n	CCONJ
cana-4515	49	17	−	−	PROPN
cana-4515	49	18	1	1	NUM
cana-4515	49	19	)	)	PUNCT
cana-4515	49	20	×	×	NOUN
cana-4515	49	21	(	(	PUNCT
cana-4515	49	22	n	n	CCONJ
cana-4515	49	23	−	−	PROPN
cana-4515	49	24	1	1	NUM
cana-4515	49	25	)	)	PUNCT
cana-4515	49	26	determinants	determinant	NOUN
cana-4515	49	27	;	;	PUNCT
cana-4515	49	28	see	see	VERB
cana-4515	49	29	to	to	ADP
cana-4515	49	30	[	[	X
cana-4515	49	31	16	16	NUM
cana-4515	49	32	]	]	PUNCT
cana-4515	49	33	,	,	PUNCT
cana-4515	49	34	[	[	X
cana-4515	49	35	17	17	NUM
cana-4515	49	36	]	]	X
cana-4515	49	37	:	:	PUNCT
cana-4515	49	38	𝐴	𝐴	PROPN
cana-4515	49	39	=	=	PUNCT
cana-4515	50	1	|	|	ADV
cana-4515	50	2	𝑎11	𝑎11	VERB
cana-4515	50	3	𝑎12	𝑎12	NOUN
cana-4515	50	4	⋯	⋯	VERB
cana-4515	50	5	𝑎1𝑛	𝑎1𝑛	NOUN
cana-4515	50	6	𝑎21	𝑎21	NOUN
cana-4515	50	7	𝑎22	𝑎22	NOUN
cana-4515	50	8	⋯	⋯	PROPN
cana-4515	50	9	𝑎2𝑛	𝑎2𝑛	PROPN
cana-4515	50	10	⋮	⋮	NOUN
cana-4515	50	11	⋮	⋮	PROPN
cana-4515	50	12	⋱	⋱	PUNCT
cana-4515	50	13	⋮	⋮	NOUN
cana-4515	50	14	𝑎𝑛1	𝑎𝑛1	VERB
cana-4515	50	15	𝑎𝑛2	𝑎𝑛2	PROPN
cana-4515	50	16	⋯	⋯	NOUN
cana-4515	50	17	𝑎𝑛𝑛	𝑎𝑛𝑛	ADV
cana-4515	51	1	|	|	ADV
cana-4515	51	2	=	=	PUNCT
cana-4515	52	1	|	|	ADV
cana-4515	52	2	|	|	ADV
cana-4515	52	3	|	|	ADV
cana-4515	52	4	𝑎11	𝑎11	VERB
cana-4515	52	5	𝑎12	𝑎12	PROPN
cana-4515	52	6	𝑎21	𝑎21	NOUN
cana-4515	52	7	𝑎22	𝑎22	NOUN
cana-4515	53	1	|	|	ADV
cana-4515	53	2	|	|	ADV
cana-4515	53	3	𝑎11	𝑎11	VERB
cana-4515	53	4	𝑎13	𝑎13	VERB
cana-4515	53	5	𝑎21	𝑎21	NOUN
cana-4515	53	6	𝑎23	𝑎23	NOUN
cana-4515	54	1	|	|	ADV
cana-4515	54	2	⋯	⋯	PROPN
cana-4515	54	3	|	|	ADV
cana-4515	54	4	𝑎11	𝑎11	VERB
cana-4515	54	5	𝑎1𝑛	𝑎1𝑛	NOUN
cana-4515	54	6	𝑎21	𝑎21	NOUN
cana-4515	54	7	𝑎2𝑛	𝑎2𝑛	PROPN
cana-4515	55	1	|	|	ADV
cana-4515	55	2	|	|	ADV
cana-4515	55	3	𝑎11	𝑎11	VERB
cana-4515	55	4	𝑎12	𝑎12	NOUN
cana-4515	55	5	𝑎31	𝑎31	NOUN
cana-4515	55	6	𝑎32	𝑎32	NOUN
cana-4515	56	1	|	|	ADV
cana-4515	56	2	|	|	ADV
cana-4515	56	3	𝑎11	𝑎11	AUX
cana-4515	56	4	𝑎13	𝑎13	VERB
cana-4515	56	5	𝑎31	𝑎31	NOUN
cana-4515	56	6	𝑎33	𝑎33	NOUN
cana-4515	57	1	|	|	ADV
cana-4515	57	2	⋯	⋯	PROPN
cana-4515	57	3	|	|	ADV
cana-4515	57	4	𝑎11	𝑎11	VERB
cana-4515	57	5	𝑎1𝑛	𝑎1𝑛	SYM
cana-4515	57	6	𝑎31	𝑎31	ADJ
cana-4515	57	7	𝑎3𝑛	𝑎3𝑛	PRON
cana-4515	57	8	|	|	NOUN
cana-4515	57	9	⋮	⋮	ADJ
cana-4515	57	10	⋮	⋮	NOUN
cana-4515	57	11	⋱	⋱	PUNCT
cana-4515	57	12	⋮	⋮	NOUN
cana-4515	57	13	|	|	ADV
cana-4515	57	14	𝑎11	𝑎11	VERB
cana-4515	57	15	𝑎12	𝑎12	NOUN
cana-4515	57	16	𝑎𝑛1	𝑎𝑛1	NOUN
cana-4515	58	1	𝑎𝑛2	𝑎𝑛2	NUM
cana-4515	58	2	|	|	ADV
cana-4515	58	3	|	|	ADV
cana-4515	58	4	𝑎11	𝑎11	VERB
cana-4515	58	5	𝑎13	𝑎13	VERB
cana-4515	58	6	𝑎𝑛1	𝑎𝑛1	NOUN
cana-4515	58	7	𝑎𝑛3	𝑎𝑛3	PROPN
cana-4515	58	8	|	|	ADV
cana-4515	58	9	⋯	⋯	PROPN
cana-4515	59	1	|	|	ADV
cana-4515	59	2	𝑎11	𝑎11	VERB
cana-4515	59	3	𝑎1𝑛	𝑎1𝑛	VERB
cana-4515	59	4	𝑎𝑛1	𝑎𝑛1	NOUN
cana-4515	59	5	𝑎𝑛𝑛	𝑎𝑛𝑛	ADV
cana-4515	60	1	|	|	ADV
cana-4515	60	2	|	|	ADV
cana-4515	61	1	|	|	INTJ
cana-4515	61	2	(	(	PUNCT
cana-4515	61	3	1	1	X
cana-4515	61	4	)	)	PUNCT
cana-4515	61	5	1.2	1.2	NUM
cana-4515	61	6	dodgson	dodgson	NOUN
cana-4515	61	7	’s	’s	PART
cana-4515	61	8	condensation	condensation	NOUN
cana-4515	61	9	method	method	NOUN
cana-4515	61	10	by	by	ADP
cana-4515	61	11	defining	define	VERB
cana-4515	61	12	determinants	determinant	NOUN
cana-4515	61	13	of	of	ADP
cana-4515	61	14	size	size	NOUN
cana-4515	61	15	(	(	PUNCT
cana-4515	61	16	n	n	CCONJ
cana-4515	61	17	−	−	PROPN
cana-4515	61	18	1	1	NUM
cana-4515	61	19	)	)	PUNCT
cana-4515	61	20	×	×	NOUN
cana-4515	61	21	(	(	PUNCT
cana-4515	61	22	n	n	CCONJ
cana-4515	61	23	−	−	PROPN
cana-4515	61	24	1	1	NUM
cana-4515	61	25	)	)	PUNCT
cana-4515	61	26	in	in	ADP
cana-4515	61	27	terms	term	NOUN
cana-4515	61	28	of	of	ADP
cana-4515	61	29	those	those	PRON
cana-4515	61	30	of	of	ADP
cana-4515	61	31	size	size	NOUN
cana-4515	61	32	(	(	PUNCT
cana-4515	61	33	n	n	CCONJ
cana-4515	61	34	−	−	PROPN
cana-4515	61	35	2)×(n	2)×(n	NUM
cana-4515	61	36	−	−	NOUN
cana-4515	61	37	2	2	NUM
cana-4515	61	38	)	)	PUNCT
cana-4515	61	39	,	,	PUNCT
cana-4515	61	40	and	and	CCONJ
cana-4515	61	41	so	so	ADV
cana-4515	61	42	on	on	ADV
cana-4515	61	43	,	,	PUNCT
cana-4515	61	44	dodgson	dodgson	PROPN
cana-4515	61	45	's	's	PART
cana-4515	61	46	condensation	condensation	NOUN
cana-4515	61	47	method	method	NOUN
cana-4515	61	48	computes	compute	VERB
cana-4515	61	49	determinants	determinant	NOUN
cana-4515	61	50	of	of	ADP
cana-4515	61	51	size	size	NOUN
cana-4515	61	52	n	n	DET
cana-4515	61	53	×	×	NOUN
cana-4515	61	54	n	n	CCONJ
cana-4515	61	55	(	(	PUNCT
cana-4515	61	56	see	see	VERB
cana-4515	61	57	[	[	X
cana-4515	61	58	18	18	NUM
cana-4515	61	59	]	]	NUM
cana-4515	61	60	)	)	PUNCT
cana-4515	61	61	.	.	PUNCT
cana-4515	62	1	this	this	DET
cana-4515	62	2	method	method	NOUN
cana-4515	62	3	is	be	AUX
cana-4515	62	4	based	base	VERB
cana-4515	62	5	on	on	ADP
cana-4515	62	6	dodgson	dodgson	PROPN
cana-4515	62	7	and	and	CCONJ
cana-4515	62	8	chio	chio	PROPN
cana-4515	62	9	’s	’s	PART
cana-4515	62	10	method	method	NOUN
cana-4515	62	11	,	,	PUNCT
cana-4515	62	12	but	but	CCONJ
cana-4515	62	13	the	the	DET
cana-4515	62	14	difference	difference	NOUN
cana-4515	62	15	between	between	ADP
cana-4515	62	16	them	they	PRON
cana-4515	62	17	is	be	AUX
cana-4515	62	18	that	that	SCONJ
cana-4515	62	19	this	this	DET
cana-4515	62	20	new	new	ADJ
cana-4515	62	21	method	method	NOUN
cana-4515	62	22	is	be	AUX
cana-4515	62	23	resolved	resolve	VERB
cana-4515	62	24	by	by	ADP
cana-4515	62	25	calculating	calculate	VERB
cana-4515	62	26	4	4	NUM
cana-4515	62	27	unique	unique	ADJ
cana-4515	62	28	determinants	determinant	NOUN
cana-4515	62	29	of	of	ADP
cana-4515	62	30	(	(	PUNCT
cana-4515	62	31	n	n	CCONJ
cana-4515	62	32	−	−	PROPN
cana-4515	62	33	1	1	NUM
cana-4515	62	34	)	)	PUNCT
cana-4515	62	35	×	×	NOUN
cana-4515	62	36	(	(	PUNCT
cana-4515	62	37	n	n	CCONJ
cana-4515	62	38	−	−	PROPN
cana-4515	62	39	1	1	NUM
cana-4515	62	40	)	)	PUNCT
cana-4515	62	41	order	order	NOUN
cana-4515	62	42	,	,	PUNCT
cana-4515	62	43	(	(	PUNCT
cana-4515	62	44	which	which	PRON
cana-4515	62	45	can	can	AUX
cana-4515	62	46	be	be	AUX
cana-4515	62	47	derived	derive	VERB
cana-4515	62	48	from	from	ADP
cana-4515	62	49	determinants	determinant	NOUN
cana-4515	62	50	of	of	ADP
cana-4515	62	51	n	n	NUM
cana-4515	62	52	×	×	NOUN
cana-4515	62	53	n	n	DET
cana-4515	62	54	order	order	NOUN
cana-4515	62	55	,	,	PUNCT
cana-4515	62	56	if	if	SCONJ
cana-4515	62	57	we	we	PRON
cana-4515	62	58	remove	remove	VERB
cana-4515	62	59	first	first	ADJ
cana-4515	62	60	row	row	NOUN
cana-4515	62	61	and	and	CCONJ
cana-4515	62	62	first	first	ADJ
cana-4515	62	63	column	column	NOUN
cana-4515	62	64	or	or	CCONJ
cana-4515	62	65	first	first	ADJ
cana-4515	62	66	row	row	NOUN
cana-4515	62	67	and	and	CCONJ
cana-4515	62	68	last	last	ADJ
cana-4515	62	69	column	column	NOUN
cana-4515	62	70	or	or	CCONJ
cana-4515	62	71	last	last	ADJ
cana-4515	62	72	row	row	NOUN
cana-4515	62	73	and	and	CCONJ
cana-4515	62	74	first	first	ADJ
cana-4515	62	75	column	column	NOUN
cana-4515	62	76	or	or	CCONJ
cana-4515	62	77	last	last	ADJ
cana-4515	62	78	row	row	NOUN
cana-4515	62	79	and	and	CCONJ
cana-4515	62	80	last	last	ADJ
cana-4515	62	81	column	column	NOUN
cana-4515	62	82	,	,	PUNCT
cana-4515	62	83	elements	element	NOUN
cana-4515	62	84	that	that	PRON
cana-4515	62	85	belongs	belong	VERB
cana-4515	62	86	to	to	ADP
cana-4515	62	87	only	only	ADV
cana-4515	62	88	one	one	NUM
cana-4515	62	89	of	of	ADP
cana-4515	62	90	unique	unique	ADJ
cana-4515	62	91	determinants	determinant	NOUN
cana-4515	62	92	we	we	PRON
cana-4515	62	93	should	should	AUX
cana-4515	62	94	call	call	VERB
cana-4515	62	95	them	they	PRON
cana-4515	62	96	unique	unique	ADJ
cana-4515	62	97	elements	element	NOUN
cana-4515	62	98	)	)	PUNCT
cana-4515	62	99	,	,	PUNCT
cana-4515	62	100	and	and	CCONJ
cana-4515	62	101	one	one	NUM
cana-4515	62	102	determinant	determinant	ADJ
cana-4515	62	103	of	of	ADP
cana-4515	62	104	(	(	PUNCT
cana-4515	62	105	n	n	CCONJ
cana-4515	62	106	−	−	PROPN
cana-4515	62	107	2	2	NUM
cana-4515	62	108	)	)	PUNCT
cana-4515	62	109	×	×	NOUN
cana-4515	62	110	(	(	PUNCT
cana-4515	62	111	n	n	CCONJ
cana-4515	62	112	−	−	PROPN
cana-4515	62	113	2	2	NUM
cana-4515	62	114	)	)	PUNCT
cana-4515	62	115	order	order	NOUN
cana-4515	62	116	which	which	PRON
cana-4515	62	117	is	be	AUX
cana-4515	62	118	formed	form	VERB
cana-4515	62	119	from	from	ADP
cana-4515	62	120	n	n	NUM
cana-4515	62	121	×	×	NOUN
cana-4515	62	122	n	n	PRON
cana-4515	62	123	order	order	NOUN
cana-4515	62	124	determinant	determinant	ADJ
cana-4515	62	125	with	with	ADP
cana-4515	62	126	elements	element	NOUN
cana-4515	62	127	𝑎𝑖𝑗	𝑎𝑖𝑗	NOUN
cana-4515	62	128	with	with	ADP
cana-4515	62	129	i	i	PROPN
cana-4515	62	130	,	,	PUNCT
cana-4515	62	131	j	j	PROPN
cana-4515	62	132	=	=	SYM
cana-4515	62	133	1	1	NUM
cana-4515	62	134	,	,	PUNCT
cana-4515	62	135	n	n	CCONJ
cana-4515	62	136	,	,	PUNCT
cana-4515	62	137	on	on	ADP
cana-4515	62	138	condition	condition	NOUN
cana-4515	62	139	that	that	SCONJ
cana-4515	62	140	the	the	DET
cana-4515	62	141	determinant	determinant	NOUN
cana-4515	62	142	of	of	ADP
cana-4515	62	143	(	(	PUNCT
cana-4515	62	144	n	n	CCONJ
cana-4515	62	145	−	−	PROPN
cana-4515	62	146	2	2	NUM
cana-4515	62	147	)	)	PUNCT
cana-4515	62	148	×	×	NOUN
cana-4515	62	149	(	(	PUNCT
cana-4515	62	150	n	n	CCONJ
cana-4515	62	151	−	−	PROPN
cana-4515	62	152	2	2	NUM
cana-4515	62	153	)	)	PUNCT
cana-4515	62	154	=	=	SYM
cana-4515	62	155	0	0	X
cana-4515	62	156	.	.	PUNCT
cana-4515	62	157	communications	communication	NOUN
cana-4515	62	158	on	on	ADP
cana-4515	62	159	applied	apply	VERB
cana-4515	62	160	nonlinear	nonlinear	ADJ
cana-4515	62	161	analysis	analysis	NOUN
cana-4515	62	162	issn	issn	NOUN
cana-4515	62	163	:	:	PUNCT
cana-4515	62	164	1074	1074	NUM
cana-4515	62	165	-	-	PUNCT
cana-4515	62	166	133x	133x	NUM
cana-4515	62	167	vol	vol	NOUN
cana-4515	62	168	32	32	NUM
cana-4515	62	169	no	no	NOUN
cana-4515	62	170	.	.	PUNCT
cana-4515	63	1	9s	9s	NUM
cana-4515	63	2	(	(	PUNCT
cana-4515	63	3	2025	2025	NUM
cana-4515	63	4	)	)	PUNCT
cana-4515	63	5	2292	2292	NUM
cana-4515	63	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4515	64	1	lemma	lemma	PROPN
cana-4515	64	2	1.2.1	1.2.1	NUM
cana-4515	64	3	a	a	DET
cana-4515	64	4	basic	basic	ADJ
cana-4515	64	5	graph	graph	NOUN
cana-4515	64	6	g	g	NOUN
cana-4515	64	7	with	with	ADP
cana-4515	64	8	n	n	PRON
cana-4515	64	9	vertices	vertex	NOUN
cana-4515	64	10	has	have	VERB
cana-4515	64	11	the	the	DET
cana-4515	64	12	following	follow	VERB
cana-4515	64	13	laplacian	laplacian	ADJ
cana-4515	64	14	matrix	matrix	NOUN
cana-4515	64	15	𝐿𝑛𝑥𝑛	𝐿𝑛𝑥𝑛	NOUN
cana-4515	64	16	definition	definition	NOUN
cana-4515	64	17	𝑳	𝑳	NOUN
cana-4515	64	18	=	=	PUNCT
cana-4515	64	19	𝑫−	𝑫−	PROPN
cana-4515	64	20	𝑨	𝑨	PROPN
cana-4515	64	21	:	:	PUNCT
cana-4515	64	22	where	where	SCONJ
cana-4515	64	23	d	d	NOUN
cana-4515	64	24	is	be	AUX
cana-4515	64	25	the	the	DET
cana-4515	64	26	graph	graph	NOUN
cana-4515	64	27	's	's	PART
cana-4515	64	28	degree	degree	NOUN
cana-4515	64	29	matrix	matrix	NOUN
cana-4515	64	30	and	and	CCONJ
cana-4515	64	31	a	a	PRON
cana-4515	64	32	is	be	AUX
cana-4515	64	33	its	its	PRON
cana-4515	64	34	adjacency	adjacency	NOUN
cana-4515	64	35	matrix	matrix	NOUN
cana-4515	64	36	.	.	PUNCT
cana-4515	65	1	directed	direct	VERB
cana-4515	65	2	graphs	graph	NOUN
cana-4515	65	3	can	can	AUX
cana-4515	65	4	employ	employ	VERB
cana-4515	65	5	either	either	CCONJ
cana-4515	65	6	the	the	DET
cana-4515	65	7	in	in	ADP
cana-4515	65	8	degree	degree	NOUN
cana-4515	65	9	or	or	CCONJ
cana-4515	65	10	the	the	DET
cana-4515	65	11	out	out	ADJ
cana-4515	65	12	degree	degree	NOUN
cana-4515	65	13	,	,	PUNCT
cana-4515	65	14	depending	depend	VERB
cana-4515	65	15	on	on	ADP
cana-4515	65	16	the	the	DET
cana-4515	65	17	application	application	NOUN
cana-4515	65	18	.	.	PUNCT
cana-4515	66	1	the	the	DET
cana-4515	66	2	elements	element	NOUN
cana-4515	66	3	of	of	ADP
cana-4515	66	4	𝐿𝑖,𝑗	𝐿𝑖,𝑗	PROPN
cana-4515	66	5	are	be	AUX
cana-4515	66	6	given	give	VERB
cana-4515	66	7	by	by	ADP
cana-4515	66	8	:	:	PUNCT
cana-4515	66	9	𝐿𝑖,𝑗	𝐿𝑖,𝑗	PROPN
cana-4515	66	10	=	=	PRON
cana-4515	66	11	{	{	PUNCT
cana-4515	66	12	deg	deg	PROPN
cana-4515	66	13	(	(	PUNCT
cana-4515	66	14	𝑣𝑖	𝑣𝑖	PROPN
cana-4515	66	15	)	)	PUNCT
cana-4515	66	16	𝑖𝑓	𝑖𝑓	ADP
cana-4515	66	17	𝑖	𝑖	NOUN
cana-4515	66	18	=	=	PUNCT
cana-4515	67	1	𝑗	𝑗	PROPN
cana-4515	67	2	−1	−1	NOUN
cana-4515	68	1	𝑖𝑓	𝑖𝑓	ADP
cana-4515	68	2	𝑖	𝑖	PUNCT
cana-4515	68	3	≠	≠	PROPN
cana-4515	68	4	𝑗	𝑗	PRON
cana-4515	68	5	𝑎𝑛𝑑	𝑎𝑛𝑑	NOUN
cana-4515	68	6	𝑣𝑖	𝑣𝑖	PROPN
cana-4515	68	7	0	0	NUM
cana-4515	68	8	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	NOUN
cana-4515	68	9	𝑖𝑠	𝑖𝑠	X
cana-4515	68	10	𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡	𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡	PROPN
cana-4515	68	11	𝑡𝑜	𝑡𝑜	PROPN
cana-4515	68	12	𝑣𝑗	𝑣𝑗	ADP
cana-4515	68	13	,	,	PUNCT
cana-4515	68	14	where	where	SCONJ
cana-4515	68	15	deg(𝑣𝑖	deg(𝑣𝑖	VERB
cana-4515	68	16	)	)	PUNCT
cana-4515	68	17	is	be	AUX
cana-4515	68	18	degree	degree	NOUN
cana-4515	68	19	of	of	ADP
cana-4515	68	20	the	the	DET
cana-4515	68	21	vertex	vertex	PROPN
cana-4515	68	22	i.	i.	NOUN
cana-4515	68	23	definition	definition	NOUN
cana-4515	68	24	1.2.2	1.2.2	NUM
cana-4515	68	25	the	the	DET
cana-4515	68	26	intersection	intersection	NOUN
cana-4515	68	27	family	family	NOUN
cana-4515	68	28	of	of	ADP
cana-4515	68	29	trapezoids	trapezoid	NOUN
cana-4515	68	30	,	,	PUNCT
cana-4515	68	31	or	or	CCONJ
cana-4515	68	32	trapezoid	trapezoid	ADJ
cana-4515	68	33	graphs	graph	NOUN
cana-4515	68	34	,	,	PUNCT
cana-4515	68	35	are	be	AUX
cana-4515	68	36	those	those	PRON
cana-4515	68	37	in	in	ADP
cana-4515	68	38	which	which	PRON
cana-4515	68	39	each	each	DET
cana-4515	68	40	trapezoid	trapezoid	NOUN
cana-4515	68	41	has	have	VERB
cana-4515	68	42	two	two	NUM
cana-4515	68	43	opposite	opposite	ADJ
cana-4515	68	44	sides	side	NOUN
cana-4515	68	45	that	that	PRON
cana-4515	68	46	are	be	AUX
cana-4515	68	47	parallel	parallel	ADJ
cana-4515	68	48	to	to	ADP
cana-4515	68	49	each	each	DET
cana-4515	68	50	other	other	ADJ
cana-4515	68	51	.	.	PUNCT
cana-4515	69	1	these	these	DET
cana-4515	69	2	graphs	graph	NOUN
cana-4515	69	3	,	,	PUNCT
cana-4515	69	4	which	which	PRON
cana-4515	69	5	are	be	AUX
cana-4515	69	6	precisely	precisely	ADV
cana-4515	69	7	between	between	ADP
cana-4515	69	8	co	co	ADJ
cana-4515	69	9	-	-	ADJ
cana-4515	69	10	comparability	comparability	ADJ
cana-4515	69	11	graphs	graph	NOUN
cana-4515	69	12	(	(	PUNCT
cana-4515	69	13	where	where	SCONJ
cana-4515	69	14	the	the	DET
cana-4515	69	15	complement	complement	NOUN
cana-4515	69	16	has	have	VERB
cana-4515	69	17	a	a	DET
cana-4515	69	18	transitive	transitive	ADJ
cana-4515	69	19	orientation	orientation	NOUN
cana-4515	69	20	)	)	PUNCT
cana-4515	69	21	and	and	CCONJ
cana-4515	69	22	permutation	permutation	NOUN
cana-4515	69	23	graphs	graph	NOUN
cana-4515	69	24	(	(	PUNCT
cana-4515	69	25	where	where	SCONJ
cana-4515	69	26	the	the	DET
cana-4515	69	27	trapezoids	trapezoid	NOUN
cana-4515	69	28	are	be	AUX
cana-4515	69	29	lines	line	NOUN
cana-4515	69	30	)	)	PUNCT
cana-4515	69	31	,	,	PUNCT
cana-4515	69	32	have	have	AUX
cana-4515	69	33	drawn	draw	VERB
cana-4515	69	34	a	a	DET
cana-4515	69	35	lot	lot	NOUN
cana-4515	69	36	of	of	ADP
cana-4515	69	37	attention	attention	NOUN
cana-4515	69	38	[	[	X
cana-4515	69	39	19	19	NUM
cana-4515	69	40	]	]	PUNCT
cana-4515	69	41	.	.	PUNCT
cana-4515	70	1	for	for	ADP
cana-4515	70	2	further	further	ADJ
cana-4515	70	3	studies	study	NOUN
cana-4515	70	4	about	about	ADP
cana-4515	70	5	some	some	DET
cana-4515	70	6	other	other	ADJ
cana-4515	70	7	applications	application	NOUN
cana-4515	70	8	that	that	PRON
cana-4515	70	9	could	could	AUX
cana-4515	70	10	employ	employ	VERB
cana-4515	70	11	some	some	DET
cana-4515	70	12	other	other	ADJ
cana-4515	70	13	graphs	graph	NOUN
cana-4515	70	14	,	,	PUNCT
cana-4515	70	15	the	the	DET
cana-4515	70	16	reader	reader	NOUN
cana-4515	70	17	may	may	AUX
cana-4515	70	18	refer	refer	VERB
cana-4515	70	19	to	to	ADP
cana-4515	70	20	the	the	DET
cana-4515	70	21	references	reference	NOUN
cana-4515	70	22	[	[	X
cana-4515	70	23	20,21,22,23,24,25,26,27,28,29	20,21,22,23,24,25,26,27,28,29	NOUN
cana-4515	70	24	]	]	PUNCT
cana-4515	70	25	.	.	PUNCT
cana-4515	71	1	2	2	X
cana-4515	71	2	.	.	X
cana-4515	71	3	main	main	ADJ
cana-4515	71	4	results	result	NOUN
cana-4515	71	5	theorem	theorem	VERB
cana-4515	71	6	2.1	2.1	NUM
cana-4515	71	7	.	.	PUNCT
cana-4515	72	1	let	let	VERB
cana-4515	72	2	𝑇(𝑃𝑛	𝑇(𝑃𝑛	PROPN
cana-4515	72	3	𝑛−2	𝑛−2	PROPN
cana-4515	72	4	)	)	PUNCT
cana-4515	72	5	be	be	VERB
cana-4515	72	6	a	a	DET
cana-4515	72	7	trapezoidal	trapezoidal	ADJ
cana-4515	72	8	graph	graph	NOUN
cana-4515	72	9	of	of	ADP
cana-4515	72	10	2n	2n	NUM
cana-4515	72	11	−	−	ADP
cana-4515	72	12	2	2	NUM
cana-4515	72	13	vertices	vertex	NOUN
cana-4515	72	14	with	with	ADP
cana-4515	72	15	triangulations	triangulation	NOUN
cana-4515	72	16	𝜏(𝑇(𝑃𝑛	𝜏(𝑇(𝑃𝑛	PROPN
cana-4515	72	17	𝑛−2	𝑛−2	NOUN
cana-4515	72	18	)	)	PUNCT
cana-4515	72	19	)	)	PUNCT
cana-4515	73	1	=	=	SYM
cana-4515	73	2	𝜏	𝜏	X
cana-4515	73	3	(	(	PUNCT
cana-4515	73	4	)	)	PUNCT
cana-4515	73	5	such	such	ADJ
cana-4515	73	6	that	that	SCONJ
cana-4515	73	7	𝜏(𝑇(𝑃𝑛	𝜏(𝑇(𝑃𝑛	PROPN
cana-4515	73	8	𝑛−2	𝑛−2	PROPN
cana-4515	73	9	)	)	PUNCT
cana-4515	73	10	)	)	PUNCT
cana-4515	73	11	=	=	PUNCT
cana-4515	74	1	100	100	NUM
cana-4515	74	2	×	×	NOUN
cana-4515	74	3	8𝑘	8𝑘	NUM
cana-4515	74	4	,	,	PUNCT
cana-4515	74	5	𝑘	𝑘	DET
cana-4515	74	6	≥	≥	NOUN
cana-4515	74	7	1	1	NUM
cana-4515	74	8	,	,	PUNCT
cana-4515	74	9	where	where	SCONJ
cana-4515	74	10	𝑘	𝑘	NOUN
cana-4515	74	11	is	be	AUX
cana-4515	74	12	the	the	DET
cana-4515	74	13	number	number	NOUN
cana-4515	74	14	of	of	ADP
cana-4515	74	15	blocks	block	NOUN
cana-4515	74	16	.	.	PUNCT
cana-4515	75	1	proof	proof	NOUN
cana-4515	75	2	.	.	PUNCT
cana-4515	76	1	by	by	ADP
cana-4515	76	2	applying	apply	VERB
cana-4515	76	3	eq	eq	ADP
cana-4515	76	4	.	.	PUNCT
cana-4515	77	1	(	(	PUNCT
cana-4515	77	2	1	1	NUM
cana-4515	77	3	)	)	PUNCT
cana-4515	77	4	,	,	PUNCT
cana-4515	77	5	we	we	PRON
cana-4515	77	6	can	can	AUX
cana-4515	77	7	perform	perform	VERB
cana-4515	77	8	the	the	DET
cana-4515	77	9	proof	proof	NOUN
cana-4515	77	10	by	by	ADP
cana-4515	77	11	the	the	DET
cana-4515	77	12	following	follow	VERB
cana-4515	77	13	steps	step	NOUN
cana-4515	77	14	:	:	PUNCT
cana-4515	77	15	by	by	ADP
cana-4515	77	16	mathematical	mathematical	ADJ
cana-4515	77	17	induction	induction	NOUN
cana-4515	77	18	,	,	PUNCT
cana-4515	77	19	we	we	PRON
cana-4515	77	20	prove	prove	VERB
cana-4515	77	21	the	the	DET
cana-4515	77	22	statement	statement	NOUN
cana-4515	77	23	is	be	AUX
cana-4515	77	24	true	true	ADJ
cana-4515	77	25	at	at	ADP
cana-4515	77	26	m	m	PROPN
cana-4515	77	27	=	=	SYM
cana-4515	77	28	1	1	NUM
cana-4515	77	29	,	,	PUNCT
cana-4515	77	30	𝜏(𝐺	𝜏(𝐺	NOUN
cana-4515	77	31	)	)	PUNCT
cana-4515	77	32	is	be	AUX
cana-4515	77	33	a	a	DET
cana-4515	77	34	2×2	2×2	NOUN
cana-4515	77	35	-	-	PUNCT
cana-4515	77	36	matrix	matrix	NOUN
cana-4515	77	37	with	with	ADP
cana-4515	77	38	both	both	DET
cana-4515	77	39	rows	row	VERB
cana-4515	77	40	the	the	DET
cana-4515	77	41	same	same	ADJ
cana-4515	77	42	:	:	PUNCT
cana-4515	77	43	𝜏(𝐺	𝜏(𝐺	NOUN
cana-4515	77	44	)	)	PUNCT
cana-4515	77	45	=	=	SYM
cana-4515	77	46	1	1	NUM
cana-4515	77	47	520	520	NUM
cana-4515	77	48	[	[	PUNCT
cana-4515	77	49	480	480	NUM
cana-4515	77	50	400	400	NUM
cana-4515	77	51	400	400	NUM
cana-4515	77	52	1200	1200	NUM
cana-4515	77	53	]	]	PUNCT
cana-4515	77	54	=	=	SYM
cana-4515	77	55	800	800	NUM
cana-4515	77	56	.	.	PUNCT
cana-4515	78	1	communications	communication	NOUN
cana-4515	78	2	on	on	ADP
cana-4515	78	3	applied	apply	VERB
cana-4515	78	4	nonlinear	nonlinear	ADJ
cana-4515	78	5	analysis	analysis	NOUN
cana-4515	78	6	issn	issn	NOUN
cana-4515	78	7	:	:	PUNCT
cana-4515	78	8	1074	1074	NUM
cana-4515	78	9	-	-	PUNCT
cana-4515	78	10	133x	133x	NUM
cana-4515	78	11	vol	vol	NOUN
cana-4515	78	12	32	32	NUM
cana-4515	78	13	no	no	NOUN
cana-4515	78	14	.	.	PUNCT
cana-4515	79	1	9s	9s	NUM
cana-4515	79	2	(	(	PUNCT
cana-4515	79	3	2025	2025	NUM
cana-4515	79	4	)	)	PUNCT
cana-4515	79	5	2293	2293	NUM
cana-4515	79	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4515	80	1	we	we	PRON
cana-4515	80	2	prove	prove	VERB
cana-4515	80	3	that	that	SCONJ
cana-4515	80	4	the	the	DET
cana-4515	80	5	statement	statement	NOUN
cana-4515	80	6	is	be	AUX
cana-4515	80	7	true	true	ADJ
cana-4515	80	8	at	at	ADP
cana-4515	80	9	𝑚	𝑚	X
cana-4515	80	10	=	=	SYM
cana-4515	80	11	𝑘	𝑘	PROPN
cana-4515	80	12	+	+	NOUN
cana-4515	80	13	1	1	NUM
cana-4515	80	14	,	,	PUNCT
cana-4515	80	15	that	that	PRON
cana-4515	80	16	is	be	AUX
cana-4515	80	17	straightforward	straightforward	ADJ
cana-4515	80	18	induction	induction	NOUN
cana-4515	80	19	using	use	VERB
cana-4515	80	20	properties	property	NOUN
cana-4515	80	21	of	of	ADP
cana-4515	80	22	determinants	determinant	NOUN
cana-4515	80	23	and	and	CCONJ
cana-4515	80	24	dodgson	dodgson	PROPN
cana-4515	80	25	and	and	CCONJ
cana-4515	80	26	chio	chio	PROPN
cana-4515	80	27	method	method	NOUN
cana-4515	80	28	and	and	CCONJ
cana-4515	80	29	applying	apply	VERB
cana-4515	80	30	eq	eq	ADP
cana-4515	80	31	.	.	PUNCT
cana-4515	81	1	(	(	PUNCT
cana-4515	81	2	2	2	NUM
cana-4515	81	3	)	)	PUNCT
cana-4515	81	4	,	,	PUNCT
cana-4515	81	5	we	we	PRON
cana-4515	81	6	have	have	VERB
cana-4515	81	7	:	:	PUNCT
cana-4515	81	8	𝜏(𝐺	𝜏(𝐺	NOUN
cana-4515	81	9	)	)	PUNCT
cana-4515	82	1	=	=	PUNCT
cana-4515	83	1	|	|	ADV
cana-4515	83	2	|	|	ADV
cana-4515	83	3	|	|	ADV
cana-4515	83	4	2	2	NUM
cana-4515	83	5	−1	−1	NOUN
cana-4515	83	6	0	0	NUM
cana-4515	84	1	⋯	⋯	NOUN
cana-4515	84	2	⋯	⋯	ADP
cana-4515	84	3	0	0	NUM
cana-4515	84	4	−1	−1	NOUN
cana-4515	84	5	0	0	PUNCT
cana-4515	85	1	⋯	⋯	NOUN
cana-4515	85	2	⋯	⋯	ADP
cana-4515	85	3	0	0	NUM
cana-4515	85	4	−1	−1	NOUN
cana-4515	85	5	4	4	NUM
cana-4515	85	6	−1	−1	NOUN
cana-4515	85	7	⋱	⋱	PUNCT
cana-4515	86	1	⋯	⋯	X
cana-4515	86	2	⋮	⋮	NOUN
cana-4515	86	3	−1	−1	NOUN
cana-4515	86	4	⋱	⋱	SYM
cana-4515	86	5	⋱	⋱	X
cana-4515	86	6	⋯	⋯	X
cana-4515	86	7	⋮	⋮	NOUN
cana-4515	86	8	0	0	NUM
cana-4515	86	9	⋱	⋱	SYM
cana-4515	86	10	⋱	⋱	X
cana-4515	86	11	⋱	⋱	X
cana-4515	86	12	⋱	⋱	X
cana-4515	86	13	⋮	⋮	NOUN
cana-4515	86	14	−1	−1	NOUN
cana-4515	86	15	0	0	NUM
cana-4515	86	16	⋱	⋱	X
cana-4515	86	17	⋱	⋱	X
cana-4515	86	18	⋮	⋮	ADJ
cana-4515	86	19	⋮	⋮	NOUN
cana-4515	86	20	⋱	⋱	PUNCT
cana-4515	86	21	⋱	⋱	PUNCT
cana-4515	86	22	⋱	⋱	X
cana-4515	86	23	⋱	⋱	X
cana-4515	86	24	⋱	⋱	X
cana-4515	86	25	0	0	NUM
cana-4515	86	26	⋱	⋱	SYM
cana-4515	86	27	⋱	⋱	X
cana-4515	86	28	⋱	⋱	X
cana-4515	86	29	0	0	NUM
cana-4515	86	30	⋮	⋮	NOUN
cana-4515	86	31	⋱	⋱	PUNCT
cana-4515	86	32	⋱	⋱	PUNCT
cana-4515	86	33	⋱	⋱	X
cana-4515	86	34	⋱	⋱	X
cana-4515	86	35	⋱	⋱	X
cana-4515	86	36	⋱	⋱	X
cana-4515	86	37	⋱	⋱	X
cana-4515	86	38	⋱	⋱	SYM
cana-4515	86	39	0	0	NUM
cana-4515	86	40	−1	−1	NOUN
cana-4515	86	41	0	0	NUM
cana-4515	86	42	0	0	NUM
cana-4515	86	43	⋱	⋱	SYM
cana-4515	86	44	⋱	⋱	X
cana-4515	86	45	−1	−1	NOUN
cana-4515	86	46	⋱	⋱	PUNCT
cana-4515	86	47	⋱	⋱	PUNCT
cana-4515	86	48	⋱	⋱	X
cana-4515	86	49	⋱	⋱	X
cana-4515	86	50	−1	−1	NOUN
cana-4515	86	51	−1	−1	NOUN
cana-4515	86	52	−1	−1	NOUN
cana-4515	86	53	−1	−1	NOUN
cana-4515	86	54	−1	−1	NOUN
cana-4515	86	55	⋱	⋱	PUNCT
cana-4515	86	56	⋱	⋱	PUNCT
cana-4515	86	57	0	0	X
cana-4515	86	58	⋱	⋱	SYM
cana-4515	86	59	0	0	NUM
cana-4515	86	60	⋱	⋱	SYM
cana-4515	86	61	⋱	⋱	X
cana-4515	86	62	0	0	NUM
cana-4515	86	63	0	0	NUM
cana-4515	86	64	⋱	⋱	SYM
cana-4515	86	65	0	0	NUM
cana-4515	86	66	⋯	⋯	NOUN
cana-4515	86	67	⋱	⋱	X
cana-4515	86	68	⋱	⋱	X
cana-4515	86	69	−1	−1	NOUN
cana-4515	86	70	⋱	⋱	SYM
cana-4515	86	71	−1	−1	NOUN
cana-4515	86	72	⋱	⋱	PUNCT
cana-4515	86	73	⋮	⋮	ADJ
cana-4515	86	74	⋮	⋮	NOUN
cana-4515	86	75	⋱	⋱	PUNCT
cana-4515	86	76	⋱	⋱	PUNCT
cana-4515	86	77	⋱	⋱	X
cana-4515	86	78	⋱	⋱	X
cana-4515	86	79	⋱	⋱	X
cana-4515	86	80	⋱	⋱	X
cana-4515	86	81	⋱	⋱	X
cana-4515	86	82	⋱	⋱	X
cana-4515	86	83	⋱	⋱	X
cana-4515	86	84	0	0	NUM
cana-4515	86	85	⋮	⋮	ADJ
cana-4515	86	86	⋮	⋮	NOUN
cana-4515	86	87	⋱	⋱	PUNCT
cana-4515	86	88	⋱	⋱	PUNCT
cana-4515	86	89	⋱	⋱	X
cana-4515	86	90	−1	−1	NOUN
cana-4515	86	91	⋱	⋱	PUNCT
cana-4515	86	92	⋱	⋱	PUNCT
cana-4515	86	93	⋱	⋱	X
cana-4515	86	94	⋱	⋱	X
cana-4515	86	95	⋱	⋱	X
cana-4515	86	96	0	0	X
cana-4515	87	1	⋯	⋯	NOUN
cana-4515	87	2	⋯	⋯	ADP
cana-4515	87	3	0	0	NUM
cana-4515	87	4	−1	−1	NOUN
cana-4515	87	5	−1	−1	NOUN
cana-4515	87	6	0	0	PROPN
cana-4515	88	1	⋯	⋯	NOUN
cana-4515	88	2	0	0	NUM
cana-4515	88	3	−1	−1	NOUN
cana-4515	88	4	4	4	NUM
cana-4515	89	1	|	|	ADV
cana-4515	89	2	|	|	ADV
cana-4515	90	1	|	|	ADV
cana-4515	90	2	(	(	PUNCT
cana-4515	90	3	2𝑘+5)×(2𝑘+5	2𝑘+5)×(2𝑘+5	NOUN
cana-4515	90	4	)	)	PUNCT
cana-4515	90	5	consequently	consequently	ADV
cana-4515	90	6	,	,	PUNCT
cana-4515	90	7	we	we	PRON
cana-4515	90	8	can	can	AUX
cana-4515	90	9	have	have	VERB
cana-4515	90	10	𝜏(𝐺	𝜏(𝐺	NOUN
cana-4515	90	11	)	)	PUNCT
cana-4515	90	12	=	=	SYM
cana-4515	91	1	1	1	NUM
cana-4515	91	2	(	(	PUNCT
cana-4515	91	3	65	65	NUM
cana-4515	91	4	+	+	CCONJ
cana-4515	91	5	(	(	PUNCT
cana-4515	91	6	𝑘	𝑘	PRON
cana-4515	91	7	−	−	PROPN
cana-4515	91	8	1	1	NUM
cana-4515	91	9	)	)	PUNCT
cana-4515	91	10	×	×	NOUN
cana-4515	91	11	15	15	NUM
cana-4515	91	12	)	)	PUNCT
cana-4515	91	13	×	×	NOUN
cana-4515	91	14	8𝑘	8𝑘	NUM
cana-4515	92	1	|	|	ADV
cana-4515	92	2	60	60	NUM
cana-4515	92	3	×	×	NOUN
cana-4515	92	4	8𝑘	8𝑘	NUM
cana-4515	92	5	50	50	NUM
cana-4515	92	6	×	×	NOUN
cana-4515	92	7	8𝑘	8𝑘	NUM
cana-4515	92	8	50	50	NUM
cana-4515	92	9	×	×	NOUN
cana-4515	92	10	8𝑘	8𝑘	NUM
cana-4515	92	11	(	(	PUNCT
cana-4515	92	12	150	150	NUM
cana-4515	92	13	+	+	CCONJ
cana-4515	92	14	(	(	PUNCT
cana-4515	92	15	𝑘	𝑘	PRON
cana-4515	92	16	−	−	PROPN
cana-4515	92	17	1	1	NUM
cana-4515	92	18	)	)	PUNCT
cana-4515	92	19	×	×	NOUN
cana-4515	92	20	25	25	NUM
cana-4515	92	21	)	)	PUNCT
cana-4515	92	22	×	×	NOUN
cana-4515	92	23	8𝑘	8𝑘	NUM
cana-4515	93	1	|	|	NOUN
cana-4515	94	1	=	=	SYM
cana-4515	95	1	100	100	NUM
cana-4515	95	2	×	×	NOUN
cana-4515	95	3	8𝑘	8𝑘	NUM
cana-4515	95	4	,	,	PUNCT
cana-4515	95	5	where	where	SCONJ
cana-4515	95	6	k	k	PROPN
cana-4515	95	7	is	be	AUX
cana-4515	95	8	the	the	DET
cana-4515	95	9	number	number	NOUN
cana-4515	95	10	of	of	ADP
cana-4515	95	11	blocks	block	NOUN
cana-4515	95	12	.	.	PUNCT
cana-4515	96	1	so	so	ADV
cana-4515	96	2	,	,	PUNCT
cana-4515	96	3	we	we	PRON
cana-4515	96	4	have	have	VERB
cana-4515	96	5	𝜏(𝐺	𝜏(𝐺	NOUN
cana-4515	96	6	)	)	PUNCT
cana-4515	96	7	=	=	SYM
cana-4515	97	1	1	1	NUM
cana-4515	98	1	|	|	ADV
cana-4515	98	2	|	|	ADV
cana-4515	98	3	|	|	ADV
cana-4515	98	4	4	4	NUM
cana-4515	98	5	−1	−1	NOUN
cana-4515	98	6	0	0	PUNCT
cana-4515	99	1	⋯	⋯	NOUN
cana-4515	99	2	0	0	NUM
cana-4515	99	3	−1	−1	NOUN
cana-4515	99	4	−1	−1	NOUN
cana-4515	99	5	0	0	PUNCT
cana-4515	100	1	⋯	⋯	NOUN
cana-4515	100	2	−1	−1	NOUN
cana-4515	100	3	⋱	⋱	X
cana-4515	100	4	⋱	⋱	PUNCT
cana-4515	100	5	⋱	⋱	X
cana-4515	100	6	⋱	⋱	X
cana-4515	100	7	−1	−1	NOUN
cana-4515	100	8	−1	−1	NOUN
cana-4515	100	9	⋮	⋮	NOUN
cana-4515	100	10	⋮	⋮	NOUN
cana-4515	100	11	0	0	NUM
cana-4515	100	12	⋱	⋱	SYM
cana-4515	100	13	⋱	⋱	X
cana-4515	100	14	⋱	⋱	X
cana-4515	100	15	⋱	⋱	X
cana-4515	100	16	⋱	⋱	X
cana-4515	100	17	⋱	⋱	X
cana-4515	100	18	⋱	⋱	X
cana-4515	100	19	⋱	⋱	X
cana-4515	100	20	⋮	⋮	NOUN
cana-4515	100	21	⋱	⋱	PUNCT
cana-4515	100	22	⋱	⋱	PUNCT
cana-4515	100	23	⋱	⋱	X
cana-4515	100	24	−1	−1	NOUN
cana-4515	100	25	⋱	⋱	PUNCT
cana-4515	100	26	⋱	⋱	PUNCT
cana-4515	100	27	⋱	⋱	X
cana-4515	100	28	−1	−1	NOUN
cana-4515	100	29	0	0	PUNCT
cana-4515	100	30	⋱	⋱	SYM
cana-4515	100	31	⋱	⋱	X
cana-4515	100	32	−1	−1	NOUN
cana-4515	100	33	⋱	⋱	PUNCT
cana-4515	100	34	0	0	NUM
cana-4515	100	35	⋱	⋱	SYM
cana-4515	100	36	⋱	⋱	X
cana-4515	100	37	−1	−1	NOUN
cana-4515	100	38	−1	−1	NOUN
cana-4515	100	39	−1	−1	NOUN
cana-4515	100	40	⋱	⋱	PUNCT
cana-4515	100	41	⋱	⋱	PUNCT
cana-4515	100	42	0	0	NUM
cana-4515	100	43	⋱	⋱	SYM
cana-4515	100	44	−1	−1	NOUN
cana-4515	100	45	⋱	⋱	PUNCT
cana-4515	100	46	⋱	⋱	X
cana-4515	100	47	−1	−1	NOUN
cana-4515	100	48	0	0	NUM
cana-4515	100	49	⋱	⋱	SYM
cana-4515	100	50	⋱	⋱	X
cana-4515	100	51	⋱	⋱	X
cana-4515	100	52	−1	−1	NOUN
cana-4515	100	53	⋱	⋱	PUNCT
cana-4515	100	54	⋱	⋱	PUNCT
cana-4515	100	55	0	0	NUM
cana-4515	100	56	0	0	NUM
cana-4515	100	57	⋱	⋱	SYM
cana-4515	100	58	⋱	⋱	X
cana-4515	100	59	⋱	⋱	X
cana-4515	100	60	⋱	⋱	X
cana-4515	100	61	⋱	⋱	X
cana-4515	100	62	⋱	⋱	X
cana-4515	100	63	⋱	⋱	X
cana-4515	100	64	−1	−1	NOUN
cana-4515	100	65	⋮	⋮	NOUN
cana-4515	100	66	⋯	⋯	X
cana-4515	100	67	⋱	⋱	SYM
cana-4515	100	68	0	0	NUM
cana-4515	100	69	−1	−1	NOUN
cana-4515	100	70	⋱	⋱	PUNCT
cana-4515	100	71	0	0	NUM
cana-4515	100	72	−1	−1	NOUN
cana-4515	100	73	4	4	NUM
cana-4515	101	1	|	|	ADV
cana-4515	101	2	|	|	ADV
cana-4515	102	1	|	|	ADV
cana-4515	102	2	(	(	PUNCT
cana-4515	102	3	2𝑘+3)∗(2𝑘+3	2𝑘+3)∗(2𝑘+3	NUM
cana-4515	102	4	)	)	PUNCT
cana-4515	103	1	|	|	ADV
cana-4515	104	1	|	|	ADV
cana-4515	104	2	|	|	INTJ
cana-4515	105	1	|	|	INTJ
cana-4515	105	2	|	|	INTJ
cana-4515	106	1	|	|	INTJ
cana-4515	107	1	|	|	INTJ
cana-4515	107	2	|	|	ADV
cana-4515	108	1	|	|	ADV
cana-4515	108	2	2	2	NUM
cana-4515	108	3	−1	−1	NOUN
cana-4515	108	4	0	0	NUM
cana-4515	109	1	⋯	⋯	NOUN
cana-4515	110	1	⋯	⋯	ADP
cana-4515	110	2	0	0	NUM
cana-4515	110	3	−1	−1	NOUN
cana-4515	110	4	0	0	PUNCT
cana-4515	111	1	⋯	⋯	NOUN
cana-4515	111	2	0	0	NUM
cana-4515	111	3	−1	−1	NOUN
cana-4515	111	4	4	4	NUM
cana-4515	111	5	⋱	⋱	SYM
cana-4515	111	6	⋱	⋱	X
cana-4515	111	7	⋱	⋱	X
cana-4515	111	8	⋯	⋯	X
cana-4515	111	9	−1	−1	NOUN
cana-4515	111	10	⋱	⋱	X
cana-4515	111	11	⋱	⋱	X
cana-4515	111	12	⋯	⋯	X
cana-4515	111	13	0	0	NUM
cana-4515	111	14	⋱	⋱	SYM
cana-4515	111	15	⋱	⋱	X
cana-4515	111	16	⋱	⋱	X
cana-4515	111	17	⋱	⋱	X
cana-4515	111	18	⋱	⋱	X
cana-4515	111	19	−1	−1	NOUN
cana-4515	111	20	0	0	X
cana-4515	111	21	⋱	⋱	SYM
cana-4515	111	22	0	0	NUM
cana-4515	111	23	⋮	⋮	NOUN
cana-4515	111	24	⋱	⋱	PUNCT
cana-4515	111	25	⋱	⋱	PUNCT
cana-4515	111	26	⋱	⋱	X
cana-4515	111	27	⋱	⋱	X
cana-4515	111	28	⋱	⋱	X
cana-4515	111	29	⋱	⋱	X
cana-4515	111	30	⋱	⋱	X
cana-4515	111	31	⋱	⋱	X
cana-4515	111	32	−1	−1	NOUN
cana-4515	111	33	⋮	⋮	NOUN
cana-4515	111	34	⋱	⋱	PUNCT
cana-4515	111	35	⋱	⋱	PUNCT
cana-4515	111	36	⋱	⋱	X
cana-4515	111	37	⋱	⋱	X
cana-4515	111	38	⋱	⋱	X
cana-4515	111	39	⋱	⋱	X
cana-4515	111	40	⋱	⋱	X
cana-4515	111	41	⋱	⋱	X
cana-4515	111	42	⋱	⋱	X
cana-4515	111	43	0	0	X
cana-4515	111	44	⋯	⋯	NOUN
cana-4515	111	45	⋱	⋱	X
cana-4515	111	46	⋱	⋱	X
cana-4515	111	47	−1	−1	NOUN
cana-4515	111	48	⋱	⋱	PUNCT
cana-4515	111	49	0	0	NUM
cana-4515	111	50	⋱	⋱	SYM
cana-4515	111	51	⋱	⋱	X
cana-4515	111	52	−1	−1	NOUN
cana-4515	111	53	−1	−1	NOUN
cana-4515	111	54	−1	−1	NOUN
cana-4515	111	55	−1	−1	NOUN
cana-4515	111	56	⋱	⋱	PUNCT
cana-4515	111	57	⋱	⋱	PUNCT
cana-4515	111	58	0	0	NUM
cana-4515	111	59	⋱	⋱	SYM
cana-4515	111	60	−1	−1	NOUN
cana-4515	111	61	⋱	⋱	PUNCT
cana-4515	111	62	0	0	NUM
cana-4515	111	63	0	0	NUM
cana-4515	111	64	⋱	⋱	SYM
cana-4515	111	65	0	0	NUM
cana-4515	111	66	⋱	⋱	SYM
cana-4515	111	67	⋱	⋱	X
cana-4515	111	68	⋱	⋱	X
cana-4515	111	69	−1	−1	NOUN
cana-4515	111	70	⋱	⋱	X
cana-4515	111	71	⋱	⋱	X
cana-4515	111	72	⋮	⋮	ADJ
cana-4515	111	73	⋮	⋮	NOUN
cana-4515	111	74	⋱	⋱	PUNCT
cana-4515	111	75	⋱	⋱	PUNCT
cana-4515	111	76	⋱	⋱	X
cana-4515	111	77	⋱	⋱	X
cana-4515	111	78	⋱	⋱	X
cana-4515	111	79	⋱	⋱	X
cana-4515	111	80	⋱	⋱	X
cana-4515	111	81	⋱	⋱	X
cana-4515	111	82	−1	−1	NOUN
cana-4515	111	83	0	0	PUNCT
cana-4515	111	84	⋯	⋯	NOUN
cana-4515	111	85	0	0	NUM
cana-4515	111	86	−1	−1	NOUN
cana-4515	111	87	0	0	NUM
cana-4515	111	88	−1	−1	NOUN
cana-4515	111	89	⋱	⋱	PUNCT
cana-4515	111	90	⋯	⋯	X
cana-4515	111	91	−1	−1	NOUN
cana-4515	111	92	4	4	NUM
cana-4515	111	93	|	|	ADV
cana-4515	112	1	|	|	ADV
cana-4515	112	2	|	|	ADV
cana-4515	112	3	(	(	PUNCT
cana-4515	112	4	2𝑘+4)∗(2𝑘+4	2𝑘+4)∗(2𝑘+4	NUM
cana-4515	112	5	)	)	PUNCT
cana-4515	113	1	|	|	ADV
cana-4515	113	2	|	|	ADV
cana-4515	113	3	|	|	ADV
cana-4515	113	4	−1	−1	NOUN
cana-4515	113	5	0	0	PUNCT
cana-4515	114	1	⋯	⋯	NOUN
cana-4515	114	2	⋯	⋯	ADP
cana-4515	114	3	0	0	NUM
cana-4515	114	4	−1	−1	NOUN
cana-4515	114	5	0	0	PUNCT
cana-4515	115	1	⋯	⋯	NOUN
cana-4515	115	2	⋯	⋯	NOUN
cana-4515	115	3	0	0	NUM
cana-4515	115	4	4	4	NUM
cana-4515	115	5	⋱	⋱	SYM
cana-4515	115	6	⋱	⋱	X
cana-4515	115	7	⋱	⋱	X
cana-4515	115	8	⋮	⋮	NOUN
cana-4515	115	9	−1	−1	NOUN
cana-4515	115	10	⋱	⋱	SYM
cana-4515	115	11	⋱	⋱	X
cana-4515	115	12	⋯	⋯	X
cana-4515	115	13	⋮	⋮	NOUN
cana-4515	115	14	−1	−1	NOUN
cana-4515	115	15	⋱	⋱	PUNCT
cana-4515	115	16	⋱	⋱	PUNCT
cana-4515	115	17	⋱	⋱	X
cana-4515	115	18	⋱	⋱	X
cana-4515	115	19	−1	−1	NOUN
cana-4515	115	20	0	0	PUNCT
cana-4515	115	21	⋱	⋱	SYM
cana-4515	115	22	⋱	⋱	X
cana-4515	115	23	⋮	⋮	NOUN
cana-4515	115	24	0	0	NUM
cana-4515	115	25	⋱	⋱	SYM
cana-4515	115	26	⋱	⋱	X
cana-4515	115	27	⋱	⋱	X
cana-4515	115	28	⋱	⋱	X
cana-4515	115	29	⋱	⋱	X
cana-4515	115	30	⋱	⋱	X
cana-4515	115	31	⋱	⋱	X
cana-4515	115	32	⋱	⋱	X
cana-4515	115	33	0	0	NUM
cana-4515	115	34	⋮	⋮	NOUN
cana-4515	115	35	⋱	⋱	PUNCT
cana-4515	115	36	⋱	⋱	PUNCT
cana-4515	115	37	⋱	⋱	X
cana-4515	115	38	−1	−1	NOUN
cana-4515	115	39	⋱	⋱	PUNCT
cana-4515	115	40	⋱	⋱	PUNCT
cana-4515	115	41	⋱	⋱	X
cana-4515	115	42	⋱	⋱	X
cana-4515	115	43	−1	−1	NOUN
cana-4515	115	44	0	0	PUNCT
cana-4515	115	45	⋱	⋱	SYM
cana-4515	115	46	⋱	⋱	X
cana-4515	115	47	−1	−1	NOUN
cana-4515	115	48	⋱	⋱	PUNCT
cana-4515	115	49	0	0	NUM
cana-4515	115	50	⋱	⋱	SYM
cana-4515	115	51	⋱	⋱	X
cana-4515	115	52	⋱	⋱	X
cana-4515	115	53	−1	−1	NOUN
cana-4515	115	54	−1	−1	NOUN
cana-4515	115	55	−1	−1	NOUN
cana-4515	115	56	⋱	⋱	PUNCT
cana-4515	115	57	⋱	⋱	PUNCT
cana-4515	115	58	0	0	NUM
cana-4515	115	59	⋱	⋱	SYM
cana-4515	115	60	−1	−1	NOUN
cana-4515	115	61	⋱	⋱	PUNCT
cana-4515	115	62	⋱	⋱	PUNCT
cana-4515	115	63	0	0	NUM
cana-4515	115	64	−1	−1	NOUN
cana-4515	115	65	0	0	NUM
cana-4515	115	66	⋱	⋱	SYM
cana-4515	115	67	⋱	⋱	X
cana-4515	115	68	⋱	⋱	X
cana-4515	115	69	−1	−1	NOUN
cana-4515	115	70	⋱	⋱	SYM
cana-4515	115	71	⋱	⋱	X
cana-4515	115	72	⋱	⋱	X
cana-4515	115	73	⋮	⋮	NOUN
cana-4515	115	74	0	0	NUM
cana-4515	115	75	⋱	⋱	SYM
cana-4515	115	76	⋱	⋱	X
cana-4515	115	77	⋱	⋱	X
cana-4515	115	78	⋱	⋱	X
cana-4515	115	79	⋱	⋱	X
cana-4515	115	80	⋱	⋱	X
cana-4515	115	81	⋱	⋱	X
cana-4515	115	82	⋱	⋱	X
cana-4515	115	83	0	0	NUM
cana-4515	115	84	⋮	⋮	NOUN
cana-4515	115	85	⋯	⋯	ADP
cana-4515	115	86	−1	−1	NOUN
cana-4515	115	87	⋱	⋱	SYM
cana-4515	115	88	−1	−1	NOUN
cana-4515	115	89	0	0	PUNCT
cana-4515	115	90	⋯	⋯	NOUN
cana-4515	115	91	−1	−1	NOUN
cana-4515	115	92	4	4	NUM
cana-4515	115	93	−1	−1	NOUN
cana-4515	116	1	|	|	ADV
cana-4515	116	2	|	|	ADV
cana-4515	116	3	|	|	INTJ
cana-4515	116	4	(	(	PUNCT
cana-4515	116	5	2𝑘+4)∗(2𝑘+4	2𝑘+4)∗(2𝑘+4	NUM
cana-4515	116	6	)	)	PUNCT
cana-4515	117	1	|	|	ADV
cana-4515	117	2	|	|	ADV
cana-4515	117	3	|	|	ADV
cana-4515	117	4	−1	−1	NOUN
cana-4515	117	5	4	4	NUM
cana-4515	117	6	−1	−1	NOUN
cana-4515	117	7	0	0	PUNCT
cana-4515	117	8	⋯	⋯	NOUN
cana-4515	117	9	0	0	NUM
cana-4515	117	10	−1	−1	NOUN
cana-4515	117	11	−1	−1	NOUN
cana-4515	117	12	0	0	PROPN
cana-4515	117	13	⋯	⋯	NOUN
cana-4515	117	14	0	0	NUM
cana-4515	117	15	⋱	⋱	X
cana-4515	118	1	⋱	⋱	X
cana-4515	118	2	⋱	⋱	X
cana-4515	118	3	⋱	⋱	X
cana-4515	118	4	⋱	⋱	X
cana-4515	118	5	−1	−1	NOUN
cana-4515	118	6	0	0	PUNCT
cana-4515	118	7	⋱	⋱	SYM
cana-4515	118	8	⋱	⋱	X
cana-4515	118	9	⋮	⋮	NOUN
cana-4515	118	10	⋱	⋱	PUNCT
cana-4515	118	11	⋱	⋱	PUNCT
cana-4515	118	12	⋱	⋱	X
cana-4515	118	13	⋱	⋱	X
cana-4515	118	14	⋱	⋱	X
cana-4515	118	15	⋱	⋱	X
cana-4515	118	16	⋱	⋱	X
cana-4515	118	17	⋱	⋱	X
cana-4515	118	18	−1	−1	NOUN
cana-4515	118	19	⋮	⋮	NOUN
cana-4515	118	20	⋱	⋱	PUNCT
cana-4515	118	21	⋱	⋱	PUNCT
cana-4515	118	22	⋱	⋱	X
cana-4515	118	23	⋱	⋱	X
cana-4515	118	24	−1	−1	NOUN
cana-4515	118	25	⋱	⋱	PUNCT
cana-4515	118	26	⋱	⋱	X
cana-4515	118	27	⋱	⋱	X
cana-4515	118	28	0	0	X
cana-4515	118	29	0	0	NUM
cana-4515	118	30	0	0	NUM
cana-4515	118	31	⋱	⋱	SYM
cana-4515	118	32	⋱	⋱	X
cana-4515	118	33	−1	−1	NOUN
cana-4515	118	34	⋱	⋱	PUNCT
cana-4515	118	35	0	0	NUM
cana-4515	118	36	⋱	⋱	SYM
cana-4515	118	37	⋱	⋱	X
cana-4515	118	38	−1	−1	NOUN
cana-4515	118	39	−1	−1	NOUN
cana-4515	118	40	−1	−1	NOUN
cana-4515	118	41	−1	−1	NOUN
cana-4515	118	42	⋱	⋱	PUNCT
cana-4515	118	43	⋱	⋱	PUNCT
cana-4515	118	44	0	0	NUM
cana-4515	118	45	⋱	⋱	SYM
cana-4515	118	46	−1	−1	NOUN
cana-4515	118	47	⋱	⋱	PUNCT
cana-4515	118	48	0	0	NUM
cana-4515	118	49	0	0	NUM
cana-4515	118	50	⋱	⋱	SYM
cana-4515	118	51	0	0	NUM
cana-4515	118	52	⋱	⋱	SYM
cana-4515	118	53	⋱	⋱	X
cana-4515	118	54	⋱	⋱	X
cana-4515	118	55	−1	−1	NOUN
cana-4515	118	56	⋱	⋱	X
cana-4515	118	57	⋱	⋱	X
cana-4515	118	58	⋮	⋮	ADJ
cana-4515	118	59	⋮	⋮	NOUN
cana-4515	118	60	⋱	⋱	PUNCT
cana-4515	118	61	⋱	⋱	PUNCT
cana-4515	118	62	⋱	⋱	X
cana-4515	118	63	⋱	⋱	X
cana-4515	118	64	⋱	⋱	X
cana-4515	118	65	⋱	⋱	X
cana-4515	118	66	⋱	⋱	X
cana-4515	118	67	⋱	⋱	X
cana-4515	118	68	−1	−1	NOUN
cana-4515	118	69	⋮	⋮	NOUN
cana-4515	118	70	⋱	⋱	PUNCT
cana-4515	118	71	⋱	⋱	PUNCT
cana-4515	118	72	⋱	⋱	SYM
cana-4515	118	73	0	0	NUM
cana-4515	118	74	−1	−1	NOUN
cana-4515	118	75	⋱	⋱	PUNCT
cana-4515	118	76	⋱	⋱	PUNCT
cana-4515	118	77	⋱	⋱	SYM
cana-4515	118	78	4	4	X
cana-4515	118	79	0	0	NUM
cana-4515	118	80	⋯	⋯	NOUN
cana-4515	118	81	⋯	⋯	PROPN
cana-4515	118	82	0	0	NUM
cana-4515	118	83	−1	−1	NOUN
cana-4515	118	84	−1	−1	NOUN
cana-4515	118	85	0	0	NUM
cana-4515	118	86	⋱	⋱	X
cana-4515	118	87	⋱	⋱	X
cana-4515	118	88	−1	−1	NOUN
cana-4515	119	1	|	|	ADV
cana-4515	119	2	|	|	ADV
cana-4515	119	3	|	|	INTJ
cana-4515	119	4	(	(	PUNCT
cana-4515	119	5	2𝑘+4)∗(2𝑘+4	2𝑘+4)∗(2𝑘+4	NUM
cana-4515	119	6	)	)	PUNCT
cana-4515	120	1	|	|	ADV
cana-4515	120	2	|	|	ADV
cana-4515	121	1	|	|	ADV
cana-4515	121	2	4	4	NUM
cana-4515	121	3	−1	−1	NOUN
cana-4515	121	4	0	0	PUNCT
cana-4515	122	1	⋯	⋯	NOUN
cana-4515	122	2	0	0	NUM
cana-4515	122	3	−1	−1	NOUN
cana-4515	122	4	−1	−1	NOUN
cana-4515	122	5	0	0	PROPN
cana-4515	123	1	⋯	⋯	NOUN
cana-4515	123	2	0	0	NUM
cana-4515	123	3	−1	−1	NOUN
cana-4515	123	4	⋱	⋱	PUNCT
cana-4515	123	5	⋱	⋱	PUNCT
cana-4515	123	6	⋱	⋱	X
cana-4515	123	7	⋱	⋱	X
cana-4515	123	8	−1	−1	NOUN
cana-4515	123	9	0	0	PUNCT
cana-4515	123	10	⋱	⋱	SYM
cana-4515	123	11	⋱	⋱	X
cana-4515	123	12	⋮	⋮	NOUN
cana-4515	123	13	0	0	NUM
cana-4515	123	14	⋱	⋱	SYM
cana-4515	123	15	⋱	⋱	X
cana-4515	123	16	⋱	⋱	X
cana-4515	123	17	⋱	⋱	X
cana-4515	123	18	⋱	⋱	X
cana-4515	123	19	⋱	⋱	X
cana-4515	123	20	⋱	⋱	X
cana-4515	123	21	⋱	⋱	X
cana-4515	123	22	0	0	NUM
cana-4515	123	23	⋮	⋮	NOUN
cana-4515	123	24	⋱	⋱	PUNCT
cana-4515	123	25	⋱	⋱	PUNCT
cana-4515	123	26	⋱	⋱	X
cana-4515	123	27	−1	−1	NOUN
cana-4515	123	28	⋱	⋱	PUNCT
cana-4515	123	29	⋱	⋱	PUNCT
cana-4515	123	30	⋱	⋱	X
cana-4515	123	31	⋱	⋱	X
cana-4515	123	32	−1	−1	NOUN
cana-4515	123	33	0	0	PUNCT
cana-4515	123	34	⋱	⋱	SYM
cana-4515	123	35	⋱	⋱	X
cana-4515	123	36	−1	−1	NOUN
cana-4515	123	37	⋱	⋱	PUNCT
cana-4515	123	38	0	0	NUM
cana-4515	123	39	⋱	⋱	SYM
cana-4515	123	40	⋱	⋱	X
cana-4515	123	41	−1	−1	NOUN
cana-4515	123	42	−1	−1	NOUN
cana-4515	123	43	−1	−1	NOUN
cana-4515	123	44	−1	−1	NOUN
cana-4515	123	45	⋱	⋱	PUNCT
cana-4515	123	46	⋱	⋱	PUNCT
cana-4515	123	47	0	0	NUM
cana-4515	123	48	⋱	⋱	SYM
cana-4515	123	49	−1	−1	NOUN
cana-4515	123	50	⋱	⋱	PUNCT
cana-4515	123	51	⋱	⋱	PUNCT
cana-4515	123	52	0	0	NUM
cana-4515	123	53	−1	−1	NOUN
cana-4515	123	54	0	0	NUM
cana-4515	123	55	⋱	⋱	SYM
cana-4515	123	56	⋱	⋱	X
cana-4515	123	57	⋱	⋱	X
cana-4515	123	58	−1	−1	NOUN
cana-4515	123	59	⋱	⋱	SYM
cana-4515	123	60	⋱	⋱	X
cana-4515	123	61	⋱	⋱	X
cana-4515	123	62	⋮	⋮	NOUN
cana-4515	123	63	0	0	NUM
cana-4515	123	64	⋱	⋱	SYM
cana-4515	123	65	⋱	⋱	X
cana-4515	123	66	⋱	⋱	X
cana-4515	123	67	⋱	⋱	X
cana-4515	123	68	⋱	⋱	X
cana-4515	123	69	⋱	⋱	X
cana-4515	123	70	⋱	⋱	X
cana-4515	123	71	⋱	⋱	X
cana-4515	123	72	0	0	NUM
cana-4515	123	73	⋮	⋮	NOUN
cana-4515	123	74	⋱	⋱	PUNCT
cana-4515	123	75	⋱	⋱	PUNCT
cana-4515	123	76	0	0	NUM
cana-4515	123	77	⋱	⋱	SYM
cana-4515	123	78	⋱	⋱	X
cana-4515	123	79	⋱	⋱	X
cana-4515	123	80	⋱	⋱	X
cana-4515	123	81	⋱	⋱	X
cana-4515	123	82	−1	−1	NOUN
cana-4515	123	83	0	0	PUNCT
cana-4515	123	84	⋯	⋯	NOUN
cana-4515	123	85	0	0	NUM
cana-4515	123	86	−1	−1	NOUN
cana-4515	123	87	−1	−1	NOUN
cana-4515	123	88	0	0	PROPN
cana-4515	123	89	⋯	⋯	NOUN
cana-4515	123	90	0	0	NUM
cana-4515	123	91	−1	−1	NOUN
cana-4515	123	92	4	4	NUM
cana-4515	124	1	|	|	ADV
cana-4515	124	2	|	|	ADV
cana-4515	124	3	|	|	ADV
cana-4515	124	4	(	(	PUNCT
cana-4515	124	5	2𝑘+4)∗(2𝑘+4	2𝑘+4)∗(2𝑘+4	NUM
cana-4515	124	6	)	)	PUNCT
cana-4515	125	1	|	|	ADV
cana-4515	126	1	|	|	ADV
cana-4515	126	2	|	|	INTJ
cana-4515	127	1	|	|	INTJ
cana-4515	127	2	|	|	ADV
cana-4515	127	3	|	|	ADV
cana-4515	127	4	in	in	ADP
cana-4515	127	5	which	which	PRON
cana-4515	127	6	1	1	NUM
cana-4515	127	7	𝑆	𝑆	NOUN
cana-4515	127	8	=	=	SYM
cana-4515	127	9	1	1	NUM
cana-4515	128	1	|	|	ADV
cana-4515	128	2	|	|	ADV
cana-4515	128	3	|	|	ADV
cana-4515	128	4	4	4	NUM
cana-4515	128	5	−1	−1	NOUN
cana-4515	128	6	0	0	PUNCT
cana-4515	129	1	⋯	⋯	NOUN
cana-4515	129	2	0	0	NUM
cana-4515	129	3	−1	−1	NOUN
cana-4515	129	4	−1	−1	NOUN
cana-4515	129	5	0	0	PUNCT
cana-4515	130	1	⋯	⋯	NOUN
cana-4515	130	2	−1	−1	NOUN
cana-4515	130	3	⋱	⋱	X
cana-4515	130	4	⋱	⋱	PUNCT
cana-4515	130	5	⋱	⋱	X
cana-4515	130	6	⋱	⋱	X
cana-4515	130	7	−1	−1	NOUN
cana-4515	130	8	−1	−1	NOUN
cana-4515	130	9	⋮	⋮	NOUN
cana-4515	130	10	⋮	⋮	NOUN
cana-4515	130	11	0	0	NUM
cana-4515	130	12	⋱	⋱	SYM
cana-4515	130	13	⋱	⋱	X
cana-4515	130	14	⋱	⋱	X
cana-4515	130	15	⋱	⋱	X
cana-4515	130	16	⋱	⋱	X
cana-4515	130	17	⋱	⋱	X
cana-4515	130	18	⋱	⋱	X
cana-4515	130	19	⋱	⋱	X
cana-4515	130	20	⋮	⋮	NOUN
cana-4515	130	21	⋱	⋱	PUNCT
cana-4515	130	22	⋱	⋱	PUNCT
cana-4515	130	23	⋱	⋱	X
cana-4515	130	24	−1	−1	NOUN
cana-4515	130	25	⋱	⋱	PUNCT
cana-4515	130	26	⋱	⋱	PUNCT
cana-4515	130	27	⋱	⋱	X
cana-4515	130	28	−1	−1	NOUN
cana-4515	130	29	0	0	PUNCT
cana-4515	130	30	⋱	⋱	SYM
cana-4515	130	31	⋱	⋱	X
cana-4515	130	32	−1	−1	NOUN
cana-4515	130	33	⋱	⋱	PUNCT
cana-4515	130	34	0	0	NUM
cana-4515	130	35	⋱	⋱	SYM
cana-4515	130	36	⋱	⋱	X
cana-4515	130	37	−1	−1	NOUN
cana-4515	130	38	−1	−1	NOUN
cana-4515	130	39	−1	−1	NOUN
cana-4515	130	40	⋱	⋱	PUNCT
cana-4515	130	41	⋱	⋱	PUNCT
cana-4515	130	42	0	0	NUM
cana-4515	130	43	⋱	⋱	SYM
cana-4515	130	44	−1	−1	NOUN
cana-4515	130	45	⋱	⋱	PUNCT
cana-4515	130	46	⋱	⋱	X
cana-4515	130	47	−1	−1	NOUN
cana-4515	130	48	0	0	NUM
cana-4515	130	49	⋱	⋱	SYM
cana-4515	130	50	⋱	⋱	X
cana-4515	130	51	⋱	⋱	X
cana-4515	130	52	−1	−1	NOUN
cana-4515	130	53	⋱	⋱	PUNCT
cana-4515	130	54	⋱	⋱	PUNCT
cana-4515	130	55	0	0	NUM
cana-4515	130	56	0	0	NUM
cana-4515	130	57	⋱	⋱	SYM
cana-4515	130	58	⋱	⋱	X
cana-4515	130	59	⋱	⋱	X
cana-4515	130	60	⋱	⋱	X
cana-4515	130	61	⋱	⋱	X
cana-4515	130	62	⋱	⋱	X
cana-4515	130	63	⋱	⋱	X
cana-4515	130	64	−1	−1	NOUN
cana-4515	130	65	⋮	⋮	NOUN
cana-4515	130	66	⋯	⋯	X
cana-4515	130	67	⋱	⋱	SYM
cana-4515	130	68	0	0	NUM
cana-4515	130	69	−1	−1	NOUN
cana-4515	130	70	⋱	⋱	PUNCT
cana-4515	130	71	0	0	NUM
cana-4515	130	72	−1	−1	NOUN
cana-4515	130	73	4	4	NUM
cana-4515	131	1	|	|	ADV
cana-4515	131	2	|	|	ADV
cana-4515	131	3	|	|	ADV
cana-4515	131	4	(	(	PUNCT
cana-4515	131	5	𝑛−3)×(𝑛−3	𝑛−3)×(𝑛−3	PROPN
cana-4515	131	6	)	)	PUNCT
cana-4515	131	7	communications	communication	NOUN
cana-4515	131	8	on	on	ADP
cana-4515	131	9	applied	apply	VERB
cana-4515	131	10	nonlinear	nonlinear	ADJ
cana-4515	131	11	analysis	analysis	NOUN
cana-4515	131	12	issn	issn	NOUN
cana-4515	131	13	:	:	PUNCT
cana-4515	131	14	1074	1074	NUM
cana-4515	131	15	-	-	PUNCT
cana-4515	131	16	133x	133x	NUM
cana-4515	131	17	vol	vol	NOUN
cana-4515	131	18	32	32	NUM
cana-4515	131	19	no	no	NOUN
cana-4515	131	20	.	.	PUNCT
cana-4515	132	1	9s	9s	NUM
cana-4515	132	2	(	(	PUNCT
cana-4515	132	3	2025	2025	NUM
cana-4515	132	4	)	)	PUNCT
cana-4515	132	5	2294	2294	NUM
cana-4515	132	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4515	132	7	𝐴	𝐴	PROPN
cana-4515	132	8	=	=	PUNCT
cana-4515	133	1	|	|	ADV
cana-4515	133	2	|	|	ADV
cana-4515	133	3	|	|	ADV
cana-4515	133	4	2	2	NUM
cana-4515	133	5	−1	−1	NOUN
cana-4515	133	6	0	0	NUM
cana-4515	134	1	⋯	⋯	NOUN
cana-4515	135	1	⋯	⋯	ADP
cana-4515	135	2	0	0	NUM
cana-4515	135	3	−1	−1	NOUN
cana-4515	135	4	0	0	PUNCT
cana-4515	136	1	⋯	⋯	NOUN
cana-4515	136	2	0	0	NUM
cana-4515	136	3	−1	−1	NOUN
cana-4515	136	4	4	4	NUM
cana-4515	136	5	⋱	⋱	SYM
cana-4515	136	6	⋱	⋱	X
cana-4515	136	7	⋱	⋱	X
cana-4515	136	8	⋯	⋯	X
cana-4515	136	9	−1	−1	NOUN
cana-4515	136	10	⋱	⋱	X
cana-4515	136	11	⋱	⋱	X
cana-4515	136	12	⋯	⋯	X
cana-4515	136	13	0	0	NUM
cana-4515	136	14	⋱	⋱	SYM
cana-4515	136	15	⋱	⋱	X
cana-4515	136	16	⋱	⋱	X
cana-4515	136	17	⋱	⋱	X
cana-4515	136	18	⋱	⋱	X
cana-4515	136	19	−1	−1	NOUN
cana-4515	136	20	0	0	X
cana-4515	136	21	⋱	⋱	SYM
cana-4515	136	22	0	0	NUM
cana-4515	136	23	⋮	⋮	NOUN
cana-4515	136	24	⋱	⋱	PUNCT
cana-4515	136	25	⋱	⋱	PUNCT
cana-4515	136	26	⋱	⋱	X
cana-4515	136	27	⋱	⋱	X
cana-4515	136	28	⋱	⋱	X
cana-4515	136	29	⋱	⋱	X
cana-4515	136	30	⋱	⋱	X
cana-4515	136	31	⋱	⋱	X
cana-4515	136	32	−1	−1	NOUN
cana-4515	136	33	⋮	⋮	NOUN
cana-4515	136	34	⋱	⋱	PUNCT
cana-4515	136	35	⋱	⋱	PUNCT
cana-4515	136	36	⋱	⋱	X
cana-4515	136	37	⋱	⋱	X
cana-4515	136	38	⋱	⋱	X
cana-4515	136	39	⋱	⋱	X
cana-4515	136	40	⋱	⋱	X
cana-4515	136	41	⋱	⋱	X
cana-4515	136	42	⋱	⋱	X
cana-4515	136	43	0	0	X
cana-4515	136	44	⋯	⋯	NOUN
cana-4515	136	45	⋱	⋱	X
cana-4515	136	46	⋱	⋱	X
cana-4515	136	47	−1	−1	NOUN
cana-4515	136	48	⋱	⋱	PUNCT
cana-4515	136	49	0	0	NUM
cana-4515	136	50	⋱	⋱	SYM
cana-4515	136	51	⋱	⋱	X
cana-4515	136	52	−1	−1	NOUN
cana-4515	136	53	−1	−1	NOUN
cana-4515	136	54	−1	−1	NOUN
cana-4515	136	55	−1	−1	NOUN
cana-4515	136	56	⋱	⋱	PUNCT
cana-4515	136	57	⋱	⋱	PUNCT
cana-4515	136	58	0	0	NUM
cana-4515	136	59	⋱	⋱	SYM
cana-4515	136	60	−1	−1	NOUN
cana-4515	136	61	⋱	⋱	PUNCT
cana-4515	136	62	0	0	NUM
cana-4515	136	63	0	0	NUM
cana-4515	136	64	⋱	⋱	SYM
cana-4515	136	65	0	0	NUM
cana-4515	136	66	⋱	⋱	SYM
cana-4515	136	67	⋱	⋱	X
cana-4515	136	68	⋱	⋱	X
cana-4515	136	69	−1	−1	NOUN
cana-4515	136	70	⋱	⋱	X
cana-4515	136	71	⋱	⋱	X
cana-4515	136	72	⋮	⋮	ADJ
cana-4515	136	73	⋮	⋮	NOUN
cana-4515	136	74	⋱	⋱	PUNCT
cana-4515	136	75	⋱	⋱	PUNCT
cana-4515	136	76	⋱	⋱	X
cana-4515	136	77	⋱	⋱	X
cana-4515	136	78	⋱	⋱	X
cana-4515	136	79	⋱	⋱	X
cana-4515	136	80	⋱	⋱	X
cana-4515	136	81	⋱	⋱	X
cana-4515	136	82	−1	−1	NOUN
cana-4515	136	83	0	0	PUNCT
cana-4515	136	84	⋯	⋯	NOUN
cana-4515	136	85	0	0	NUM
cana-4515	136	86	−1	−1	NOUN
cana-4515	136	87	0	0	NUM
cana-4515	136	88	−1	−1	NOUN
cana-4515	136	89	⋱	⋱	PUNCT
cana-4515	136	90	⋯	⋯	X
cana-4515	136	91	−1	−1	NOUN
cana-4515	136	92	4	4	NUM
cana-4515	136	93	|	|	ADV
cana-4515	137	1	|	|	ADV
cana-4515	138	1	|	|	ADV
cana-4515	138	2	(	(	PUNCT
cana-4515	138	3	𝑛−2)×(𝑛−2	𝑛−2)×(𝑛−2	NOUN
cana-4515	138	4	)	)	PUNCT
cana-4515	138	5	,	,	PUNCT
cana-4515	139	1	𝐵	𝐵	NOUN
cana-4515	139	2	=	=	PUNCT
cana-4515	140	1	|	|	ADV
cana-4515	140	2	|	|	ADV
cana-4515	140	3	|	|	ADV
cana-4515	140	4	−1	−1	NOUN
cana-4515	140	5	0	0	PUNCT
cana-4515	141	1	⋯	⋯	NOUN
cana-4515	141	2	⋯	⋯	ADP
cana-4515	141	3	0	0	NUM
cana-4515	141	4	−1	−1	NOUN
cana-4515	141	5	0	0	PUNCT
cana-4515	142	1	⋯	⋯	NOUN
cana-4515	142	2	⋯	⋯	NOUN
cana-4515	142	3	0	0	NUM
cana-4515	142	4	4	4	NUM
cana-4515	142	5	⋱	⋱	SYM
cana-4515	142	6	⋱	⋱	X
cana-4515	142	7	⋱	⋱	X
cana-4515	142	8	⋮	⋮	NOUN
cana-4515	142	9	−1	−1	NOUN
cana-4515	142	10	⋱	⋱	SYM
cana-4515	142	11	⋱	⋱	X
cana-4515	142	12	⋯	⋯	X
cana-4515	142	13	⋮	⋮	NOUN
cana-4515	142	14	−1	−1	NOUN
cana-4515	142	15	⋱	⋱	PUNCT
cana-4515	142	16	⋱	⋱	PUNCT
cana-4515	142	17	⋱	⋱	X
cana-4515	142	18	⋱	⋱	X
cana-4515	142	19	−1	−1	NOUN
cana-4515	142	20	0	0	PUNCT
cana-4515	142	21	⋱	⋱	SYM
cana-4515	142	22	⋱	⋱	X
cana-4515	142	23	⋮	⋮	NOUN
cana-4515	142	24	0	0	NUM
cana-4515	142	25	⋱	⋱	SYM
cana-4515	142	26	⋱	⋱	X
cana-4515	142	27	⋱	⋱	X
cana-4515	142	28	⋱	⋱	X
cana-4515	142	29	⋱	⋱	X
cana-4515	142	30	⋱	⋱	X
cana-4515	142	31	⋱	⋱	X
cana-4515	142	32	⋱	⋱	X
cana-4515	142	33	0	0	NUM
cana-4515	142	34	⋮	⋮	NOUN
cana-4515	142	35	⋱	⋱	PUNCT
cana-4515	142	36	⋱	⋱	PUNCT
cana-4515	142	37	⋱	⋱	X
cana-4515	142	38	−1	−1	NOUN
cana-4515	142	39	⋱	⋱	PUNCT
cana-4515	142	40	⋱	⋱	PUNCT
cana-4515	142	41	⋱	⋱	X
cana-4515	142	42	⋱	⋱	X
cana-4515	142	43	−1	−1	NOUN
cana-4515	142	44	0	0	PUNCT
cana-4515	142	45	⋱	⋱	SYM
cana-4515	142	46	⋱	⋱	X
cana-4515	142	47	−1	−1	NOUN
cana-4515	142	48	⋱	⋱	PUNCT
cana-4515	142	49	0	0	NUM
cana-4515	142	50	⋱	⋱	SYM
cana-4515	142	51	⋱	⋱	X
cana-4515	142	52	⋱	⋱	X
cana-4515	142	53	−1	−1	NOUN
cana-4515	142	54	−1	−1	NOUN
cana-4515	142	55	−1	−1	NOUN
cana-4515	142	56	⋱	⋱	PUNCT
cana-4515	142	57	⋱	⋱	PUNCT
cana-4515	142	58	0	0	NUM
cana-4515	142	59	⋱	⋱	SYM
cana-4515	142	60	−1	−1	NOUN
cana-4515	142	61	⋱	⋱	PUNCT
cana-4515	142	62	⋱	⋱	PUNCT
cana-4515	142	63	0	0	NUM
cana-4515	142	64	−1	−1	NOUN
cana-4515	142	65	0	0	NUM
cana-4515	142	66	⋱	⋱	SYM
cana-4515	142	67	⋱	⋱	X
cana-4515	142	68	⋱	⋱	X
cana-4515	142	69	−1	−1	NOUN
cana-4515	142	70	⋱	⋱	SYM
cana-4515	142	71	⋱	⋱	X
cana-4515	142	72	⋱	⋱	X
cana-4515	142	73	⋮	⋮	NOUN
cana-4515	142	74	0	0	NUM
cana-4515	142	75	⋱	⋱	SYM
cana-4515	142	76	⋱	⋱	X
cana-4515	142	77	⋱	⋱	X
cana-4515	142	78	⋱	⋱	X
cana-4515	142	79	⋱	⋱	X
cana-4515	142	80	⋱	⋱	X
cana-4515	142	81	⋱	⋱	X
cana-4515	142	82	⋱	⋱	X
cana-4515	142	83	0	0	NUM
cana-4515	142	84	⋮	⋮	NOUN
cana-4515	142	85	⋯	⋯	ADP
cana-4515	142	86	−1	−1	NOUN
cana-4515	142	87	⋱	⋱	SYM
cana-4515	142	88	−1	−1	NOUN
cana-4515	142	89	0	0	PUNCT
cana-4515	142	90	⋯	⋯	NOUN
cana-4515	142	91	−1	−1	NOUN
cana-4515	142	92	4	4	NUM
cana-4515	142	93	−1	−1	NOUN
cana-4515	143	1	|	|	ADV
cana-4515	143	2	|	|	ADV
cana-4515	144	1	|	|	INTJ
cana-4515	144	2	(	(	PUNCT
cana-4515	144	3	𝑛−2)×(𝑛−2	𝑛−2)×(𝑛−2	NOUN
cana-4515	144	4	)	)	PUNCT
cana-4515	144	5	𝐵𝑇	𝐵𝑇	NOUN
cana-4515	145	1	=	=	SYM
cana-4515	145	2	|	|	ADV
cana-4515	145	3	|	|	ADV
cana-4515	145	4	|	|	ADV
cana-4515	145	5	−1	−1	NOUN
cana-4515	145	6	4	4	NUM
cana-4515	145	7	−1	−1	NOUN
cana-4515	145	8	0	0	PUNCT
cana-4515	145	9	⋯	⋯	NOUN
cana-4515	145	10	0	0	NUM
cana-4515	145	11	−1	−1	NOUN
cana-4515	145	12	−1	−1	NOUN
cana-4515	145	13	0	0	PROPN
cana-4515	145	14	⋯	⋯	NOUN
cana-4515	145	15	0	0	NUM
cana-4515	145	16	⋱	⋱	X
cana-4515	145	17	⋱	⋱	X
cana-4515	145	18	⋱	⋱	X
cana-4515	145	19	⋱	⋱	X
cana-4515	145	20	⋱	⋱	X
cana-4515	145	21	−1	−1	NOUN
cana-4515	145	22	0	0	PUNCT
cana-4515	145	23	⋱	⋱	SYM
cana-4515	145	24	⋱	⋱	X
cana-4515	145	25	⋮	⋮	NOUN
cana-4515	145	26	⋱	⋱	PUNCT
cana-4515	145	27	⋱	⋱	PUNCT
cana-4515	145	28	⋱	⋱	X
cana-4515	145	29	⋱	⋱	X
cana-4515	145	30	⋱	⋱	X
cana-4515	145	31	⋱	⋱	X
cana-4515	145	32	⋱	⋱	X
cana-4515	145	33	⋱	⋱	X
cana-4515	145	34	−1	−1	NOUN
cana-4515	145	35	⋮	⋮	NOUN
cana-4515	145	36	⋱	⋱	PUNCT
cana-4515	145	37	⋱	⋱	PUNCT
cana-4515	145	38	⋱	⋱	X
cana-4515	145	39	⋱	⋱	X
cana-4515	145	40	−1	−1	NOUN
cana-4515	145	41	⋱	⋱	PUNCT
cana-4515	145	42	⋱	⋱	X
cana-4515	145	43	⋱	⋱	X
cana-4515	145	44	0	0	X
cana-4515	145	45	0	0	NUM
cana-4515	145	46	0	0	NUM
cana-4515	145	47	⋱	⋱	SYM
cana-4515	145	48	⋱	⋱	X
cana-4515	145	49	−1	−1	NOUN
cana-4515	145	50	⋱	⋱	PUNCT
cana-4515	145	51	0	0	NUM
cana-4515	145	52	⋱	⋱	SYM
cana-4515	145	53	⋱	⋱	X
cana-4515	145	54	−1	−1	NOUN
cana-4515	145	55	−1	−1	NOUN
cana-4515	145	56	−1	−1	NOUN
cana-4515	145	57	−1	−1	NOUN
cana-4515	145	58	⋱	⋱	PUNCT
cana-4515	145	59	⋱	⋱	PUNCT
cana-4515	145	60	0	0	NUM
cana-4515	145	61	⋱	⋱	SYM
cana-4515	145	62	−1	−1	NOUN
cana-4515	145	63	⋱	⋱	PUNCT
cana-4515	145	64	0	0	NUM
cana-4515	145	65	0	0	NUM
cana-4515	145	66	⋱	⋱	SYM
cana-4515	145	67	0	0	NUM
cana-4515	145	68	⋱	⋱	SYM
cana-4515	145	69	⋱	⋱	X
cana-4515	145	70	⋱	⋱	X
cana-4515	145	71	−1	−1	NOUN
cana-4515	145	72	⋱	⋱	X
cana-4515	145	73	⋱	⋱	X
cana-4515	145	74	⋮	⋮	ADJ
cana-4515	145	75	⋮	⋮	NOUN
cana-4515	145	76	⋱	⋱	PUNCT
cana-4515	145	77	⋱	⋱	PUNCT
cana-4515	145	78	⋱	⋱	X
cana-4515	145	79	⋱	⋱	X
cana-4515	145	80	⋱	⋱	X
cana-4515	145	81	⋱	⋱	X
cana-4515	145	82	⋱	⋱	X
cana-4515	145	83	⋱	⋱	X
cana-4515	145	84	−1	−1	NOUN
cana-4515	145	85	⋮	⋮	NOUN
cana-4515	145	86	⋱	⋱	PUNCT
cana-4515	145	87	⋱	⋱	PUNCT
cana-4515	145	88	⋱	⋱	SYM
cana-4515	145	89	0	0	NUM
cana-4515	145	90	−1	−1	NOUN
cana-4515	145	91	⋱	⋱	PUNCT
cana-4515	145	92	⋱	⋱	PUNCT
cana-4515	145	93	⋱	⋱	SYM
cana-4515	145	94	4	4	X
cana-4515	145	95	0	0	NUM
cana-4515	145	96	⋯	⋯	NOUN
cana-4515	145	97	⋯	⋯	PROPN
cana-4515	145	98	0	0	NUM
cana-4515	145	99	−1	−1	NOUN
cana-4515	145	100	−1	−1	NOUN
cana-4515	145	101	0	0	NUM
cana-4515	145	102	⋱	⋱	X
cana-4515	145	103	⋱	⋱	X
cana-4515	145	104	−1	−1	NOUN
cana-4515	146	1	|	|	ADV
cana-4515	146	2	|	|	ADV
cana-4515	146	3	|	|	INTJ
cana-4515	146	4	(	(	PUNCT
cana-4515	146	5	𝑛−2)×(𝑛−2	𝑛−2)×(𝑛−2	NOUN
cana-4515	146	6	)	)	PUNCT
cana-4515	146	7	and	and	CCONJ
cana-4515	146	8	𝐶	𝐶	PROPN
cana-4515	146	9	=	=	PRON
cana-4515	147	1	|	|	ADV
cana-4515	147	2	|	|	ADV
cana-4515	147	3	|	|	ADV
cana-4515	147	4	4	4	NUM
cana-4515	147	5	−1	−1	NOUN
cana-4515	147	6	0	0	PUNCT
cana-4515	148	1	⋯	⋯	NOUN
cana-4515	148	2	0	0	NUM
cana-4515	148	3	−1	−1	NOUN
cana-4515	148	4	−1	−1	NOUN
cana-4515	148	5	0	0	PROPN
cana-4515	149	1	⋯	⋯	NOUN
cana-4515	149	2	0	0	NUM
cana-4515	149	3	−1	−1	NOUN
cana-4515	149	4	⋱	⋱	PUNCT
cana-4515	149	5	⋱	⋱	PUNCT
cana-4515	149	6	⋱	⋱	X
cana-4515	149	7	⋱	⋱	X
cana-4515	149	8	−1	−1	NOUN
cana-4515	149	9	0	0	PUNCT
cana-4515	149	10	⋱	⋱	SYM
cana-4515	149	11	⋱	⋱	X
cana-4515	149	12	⋮	⋮	NOUN
cana-4515	149	13	0	0	NUM
cana-4515	149	14	⋱	⋱	SYM
cana-4515	149	15	⋱	⋱	X
cana-4515	149	16	⋱	⋱	X
cana-4515	149	17	⋱	⋱	X
cana-4515	149	18	⋱	⋱	X
cana-4515	149	19	⋱	⋱	X
cana-4515	149	20	⋱	⋱	X
cana-4515	149	21	⋱	⋱	X
cana-4515	149	22	0	0	NUM
cana-4515	149	23	⋮	⋮	NOUN
cana-4515	149	24	⋱	⋱	PUNCT
cana-4515	149	25	⋱	⋱	PUNCT
cana-4515	149	26	⋱	⋱	X
cana-4515	149	27	−1	−1	NOUN
cana-4515	149	28	⋱	⋱	PUNCT
cana-4515	149	29	⋱	⋱	PUNCT
cana-4515	149	30	⋱	⋱	X
cana-4515	149	31	⋱	⋱	X
cana-4515	149	32	−1	−1	NOUN
cana-4515	149	33	0	0	PUNCT
cana-4515	149	34	⋱	⋱	SYM
cana-4515	149	35	⋱	⋱	X
cana-4515	149	36	−1	−1	NOUN
cana-4515	149	37	⋱	⋱	PUNCT
cana-4515	149	38	0	0	NUM
cana-4515	149	39	⋱	⋱	SYM
cana-4515	149	40	⋱	⋱	X
cana-4515	149	41	−1	−1	NOUN
cana-4515	149	42	−1	−1	NOUN
cana-4515	149	43	−1	−1	NOUN
cana-4515	149	44	−1	−1	NOUN
cana-4515	149	45	⋱	⋱	PUNCT
cana-4515	149	46	⋱	⋱	PUNCT
cana-4515	149	47	0	0	NUM
cana-4515	149	48	⋱	⋱	SYM
cana-4515	149	49	−1	−1	NOUN
cana-4515	149	50	⋱	⋱	PUNCT
cana-4515	149	51	⋱	⋱	PUNCT
cana-4515	149	52	0	0	NUM
cana-4515	149	53	−1	−1	NOUN
cana-4515	149	54	0	0	NUM
cana-4515	149	55	⋱	⋱	SYM
cana-4515	149	56	⋱	⋱	X
cana-4515	149	57	⋱	⋱	X
cana-4515	149	58	−1	−1	NOUN
cana-4515	149	59	⋱	⋱	SYM
cana-4515	149	60	⋱	⋱	X
cana-4515	149	61	⋱	⋱	X
cana-4515	149	62	⋮	⋮	NOUN
cana-4515	149	63	0	0	NUM
cana-4515	149	64	⋱	⋱	SYM
cana-4515	149	65	⋱	⋱	X
cana-4515	149	66	⋱	⋱	X
cana-4515	149	67	⋱	⋱	X
cana-4515	149	68	⋱	⋱	X
cana-4515	149	69	⋱	⋱	X
cana-4515	149	70	⋱	⋱	X
cana-4515	149	71	⋱	⋱	X
cana-4515	149	72	0	0	NUM
cana-4515	149	73	⋮	⋮	NOUN
cana-4515	149	74	⋱	⋱	PUNCT
cana-4515	149	75	⋱	⋱	PUNCT
cana-4515	149	76	0	0	NUM
cana-4515	149	77	⋱	⋱	SYM
cana-4515	149	78	⋱	⋱	X
cana-4515	149	79	⋱	⋱	X
cana-4515	149	80	⋱	⋱	X
cana-4515	149	81	⋱	⋱	X
cana-4515	149	82	−1	−1	NOUN
cana-4515	149	83	0	0	PUNCT
cana-4515	149	84	⋯	⋯	NOUN
cana-4515	149	85	0	0	NUM
cana-4515	149	86	−1	−1	NOUN
cana-4515	149	87	−1	−1	NOUN
cana-4515	149	88	0	0	PROPN
cana-4515	149	89	⋯	⋯	NOUN
cana-4515	149	90	0	0	NUM
cana-4515	149	91	−1	−1	NOUN
cana-4515	149	92	4	4	NUM
cana-4515	150	1	|	|	ADV
cana-4515	150	2	|	|	ADV
cana-4515	151	1	|	|	ADV
cana-4515	151	2	(	(	PUNCT
cana-4515	151	3	𝑛−2)×(𝑛−2	𝑛−2)×(𝑛−2	NOUN
cana-4515	151	4	)	)	PUNCT
cana-4515	151	5	theorem	theorem	VERB
cana-4515	151	6	2.2	2.2	NUM
cana-4515	151	7	.	.	PUNCT
cana-4515	152	1	let	let	VERB
cana-4515	152	2	𝑇(𝑃𝑛	𝑇(𝑃𝑛	PROPN
cana-4515	152	3	𝑛−2	𝑛−2	PROPN
cana-4515	152	4	)	)	PUNCT
cana-4515	152	5	be	be	VERB
cana-4515	152	6	a	a	DET
cana-4515	152	7	trapezoidal	trapezoidal	ADJ
cana-4515	152	8	graph	graph	NOUN
cana-4515	152	9	of	of	ADP
cana-4515	152	10	(	(	PUNCT
cana-4515	152	11	2𝑛	2𝑛	PROPN
cana-4515	152	12	−	−	PROPN
cana-4515	152	13	2	2	NUM
cana-4515	152	14	)	)	PUNCT
cana-4515	152	15	vertices	vertex	NOUN
cana-4515	152	16	with	with	ADP
cana-4515	152	17	triangulations	triangulation	NOUN
cana-4515	152	18	communications	communication	NOUN
cana-4515	152	19	on	on	ADP
cana-4515	152	20	applied	apply	VERB
cana-4515	152	21	nonlinear	nonlinear	ADJ
cana-4515	152	22	analysis	analysis	NOUN
cana-4515	152	23	issn	issn	NOUN
cana-4515	152	24	:	:	PUNCT
cana-4515	152	25	1074	1074	NUM
cana-4515	152	26	-	-	PUNCT
cana-4515	152	27	133x	133x	NUM
cana-4515	152	28	vol	vol	NOUN
cana-4515	152	29	32	32	NUM
cana-4515	152	30	no	no	NOUN
cana-4515	152	31	.	.	PUNCT
cana-4515	153	1	9s	9s	NUM
cana-4515	153	2	(	(	PUNCT
cana-4515	153	3	2025	2025	NUM
cana-4515	153	4	)	)	PUNCT
cana-4515	153	5	2295	2295	NUM
cana-4515	153	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4515	153	7	𝜏(𝑇(𝑃𝑛	𝜏(𝑇(𝑃𝑛	PROPN
cana-4515	153	8	𝑛−2	𝑛−2	PROPN
cana-4515	153	9	)	)	PUNCT
cana-4515	153	10	)	)	PUNCT
cana-4515	154	1	=	=	SYM
cana-4515	154	2	𝜏	𝜏	X
cana-4515	154	3	(	(	PUNCT
cana-4515	154	4	)	)	PUNCT
cana-4515	154	5	such	such	ADJ
cana-4515	154	6	that	that	SCONJ
cana-4515	154	7	𝜏(𝑇(𝑃𝑛	𝜏(𝑇(𝑃𝑛	PROPN
cana-4515	154	8	𝑛−2	𝑛−2	PROPN
cana-4515	154	9	)	)	PUNCT
cana-4515	154	10	)	)	PUNCT
cana-4515	154	11	=	=	PUNCT
cana-4515	155	1	100	100	NUM
cana-4515	155	2	×	×	NOUN
cana-4515	155	3	12𝑘−1	12𝑘−1	NOUN
cana-4515	155	4	,	,	PUNCT
cana-4515	155	5	𝑘	𝑘	DET
cana-4515	155	6	≥	≥	NOUN
cana-4515	155	7	1	1	NUM
cana-4515	155	8	where	where	SCONJ
cana-4515	155	9	𝑘	𝑘	PROPN
cana-4515	155	10	is	be	AUX
cana-4515	155	11	the	the	DET
cana-4515	155	12	number	number	NOUN
cana-4515	155	13	of	of	ADP
cana-4515	155	14	blocks	block	NOUN
cana-4515	155	15	.	.	PUNCT
cana-4515	156	1	proof	proof	NOUN
cana-4515	156	2	.	.	PUNCT
cana-4515	157	1	by	by	ADP
cana-4515	157	2	using	use	VERB
cana-4515	157	3	eq	eq	ADP
cana-4515	157	4	.	.	PUNCT
cana-4515	158	1	(	(	PUNCT
cana-4515	158	2	1	1	NUM
cana-4515	158	3	)	)	PUNCT
cana-4515	158	4	,	,	PUNCT
cana-4515	158	5	we	we	PRON
cana-4515	158	6	can	can	AUX
cana-4515	158	7	apply	apply	VERB
cana-4515	158	8	the	the	DET
cana-4515	158	9	proof	proof	NOUN
cana-4515	158	10	by	by	ADP
cana-4515	158	11	performing	perform	VERB
cana-4515	158	12	the	the	DET
cana-4515	158	13	following	follow	VERB
cana-4515	158	14	steps	step	NOUN
cana-4515	158	15	:	:	PUNCT
cana-4515	158	16	by	by	ADP
cana-4515	158	17	mathematical	mathematical	ADJ
cana-4515	158	18	induction	induction	NOUN
cana-4515	158	19	,	,	PUNCT
cana-4515	158	20	we	we	PRON
cana-4515	158	21	prove	prove	VERB
cana-4515	158	22	this	this	DET
cana-4515	158	23	statement	statement	NOUN
cana-4515	158	24	at	at	ADP
cana-4515	158	25	𝑚	𝑚	PROPN
cana-4515	158	26	=	=	SYM
cana-4515	158	27	1	1	NUM
cana-4515	158	28	,	,	PUNCT
cana-4515	158	29	i.e.	i.e.	X
cana-4515	158	30	𝜏(𝐺	𝜏(𝐺	NOUN
cana-4515	158	31	)	)	PUNCT
cana-4515	158	32	is	be	AUX
cana-4515	158	33	a	a	DET
cana-4515	158	34	2×2	2×2	NOUN
cana-4515	158	35	-	-	PUNCT
cana-4515	158	36	matrix	matrix	NOUN
cana-4515	158	37	with	with	ADP
cana-4515	158	38	both	both	DET
cana-4515	158	39	rows	row	VERB
cana-4515	158	40	the	the	DET
cana-4515	158	41	same	same	ADJ
cana-4515	158	42	:	:	PUNCT
cana-4515	158	43	𝜏(𝐺	𝜏(𝐺	NOUN
cana-4515	158	44	)	)	PUNCT
cana-4515	158	45	=	=	SYM
cana-4515	159	1	1	1	NUM
cana-4515	159	2	50	50	NUM
cana-4515	159	3	[	[	PUNCT
cana-4515	159	4	60	60	NUM
cana-4515	159	5	50	50	NUM
cana-4515	159	6	50	50	NUM
cana-4515	159	7	125	125	NUM
cana-4515	159	8	]	]	PUNCT
cana-4515	159	9	=	=	SYM
cana-4515	159	10	100	100	NUM
cana-4515	159	11	.	.	PUNCT
cana-4515	160	1	we	we	PRON
cana-4515	160	2	prove	prove	VERB
cana-4515	160	3	the	the	DET
cana-4515	160	4	statement	statement	NOUN
cana-4515	160	5	at	at	ADP
cana-4515	160	6	𝑚	𝑚	X
cana-4515	160	7	=	=	SYM
cana-4515	160	8	𝑘	𝑘	PROPN
cana-4515	160	9	+	+	NOUN
cana-4515	160	10	1	1	NUM
cana-4515	160	11	,	,	PUNCT
cana-4515	160	12	that	that	PRON
cana-4515	160	13	is	be	AUX
cana-4515	160	14	straightforward	straightforward	ADJ
cana-4515	160	15	induction	induction	NOUN
cana-4515	160	16	using	use	VERB
cana-4515	160	17	properties	property	NOUN
cana-4515	160	18	of	of	ADP
cana-4515	160	19	determinants	determinant	NOUN
cana-4515	160	20	and	and	CCONJ
cana-4515	160	21	dodgson	dodgson	PROPN
cana-4515	160	22	and	and	CCONJ
cana-4515	160	23	chio	chio	PROPN
cana-4515	160	24	method	method	NOUN
cana-4515	160	25	and	and	CCONJ
cana-4515	160	26	applying	apply	VERB
cana-4515	160	27	eq	eq	ADP
cana-4515	160	28	.	.	PUNCT
cana-4515	161	1	(	(	PUNCT
cana-4515	161	2	2	2	NUM
cana-4515	161	3	)	)	PUNCT
cana-4515	161	4	,	,	PUNCT
cana-4515	161	5	we	we	PRON
cana-4515	161	6	have	have	VERB
cana-4515	161	7	:	:	PUNCT
cana-4515	161	8	𝜏(𝐺	𝜏(𝐺	NOUN
cana-4515	161	9	)	)	PUNCT
cana-4515	162	1	=	=	PUNCT
cana-4515	163	1	|	|	ADV
cana-4515	163	2	|	|	ADV
cana-4515	163	3	|	|	ADV
cana-4515	163	4	2	2	NUM
cana-4515	163	5	−1	−1	NOUN
cana-4515	163	6	0	0	NUM
cana-4515	164	1	⋯	⋯	NOUN
cana-4515	164	2	⋯	⋯	ADP
cana-4515	164	3	0	0	NUM
cana-4515	164	4	−1	−1	NOUN
cana-4515	164	5	0	0	PUNCT
cana-4515	165	1	⋯	⋯	NOUN
cana-4515	165	2	⋯	⋯	ADP
cana-4515	165	3	0	0	NUM
cana-4515	165	4	−1	−1	NOUN
cana-4515	165	5	4	4	NUM
cana-4515	165	6	⋱	⋱	SYM
cana-4515	165	7	⋱	⋱	X
cana-4515	165	8	⋱	⋱	X
cana-4515	165	9	⋱	⋱	X
cana-4515	165	10	−1	−1	NOUN
cana-4515	165	11	⋱	⋱	SYM
cana-4515	165	12	⋱	⋱	X
cana-4515	165	13	⋱	⋱	X
cana-4515	165	14	⋮	⋮	NOUN
cana-4515	165	15	0	0	NUM
cana-4515	165	16	⋱	⋱	SYM
cana-4515	165	17	5	5	NUM
cana-4515	165	18	⋱	⋱	SYM
cana-4515	165	19	⋱	⋱	X
cana-4515	165	20	⋱	⋱	X
cana-4515	165	21	−1	−1	NOUN
cana-4515	165	22	⋱	⋱	SYM
cana-4515	165	23	⋱	⋱	X
cana-4515	165	24	⋱	⋱	X
cana-4515	165	25	⋮	⋮	ADJ
cana-4515	165	26	⋮	⋮	NOUN
cana-4515	165	27	⋱	⋱	PUNCT
cana-4515	165	28	⋱	⋱	PUNCT
cana-4515	165	29	⋱	⋱	X
cana-4515	165	30	⋱	⋱	X
cana-4515	165	31	⋱	⋱	X
cana-4515	165	32	⋱	⋱	X
cana-4515	165	33	⋱	⋱	X
cana-4515	165	34	⋱	⋱	X
cana-4515	165	35	⋱	⋱	X
cana-4515	165	36	0	0	NUM
cana-4515	165	37	⋮	⋮	NOUN
cana-4515	165	38	⋱	⋱	PUNCT
cana-4515	165	39	⋱	⋱	PUNCT
cana-4515	165	40	⋱	⋱	SYM
cana-4515	165	41	5	5	NUM
cana-4515	165	42	−1	−1	NOUN
cana-4515	165	43	⋱	⋱	PUNCT
cana-4515	165	44	⋱	⋱	PUNCT
cana-4515	165	45	⋱	⋱	X
cana-4515	165	46	⋱	⋱	X
cana-4515	165	47	−1	−1	NOUN
cana-4515	165	48	0	0	NUM
cana-4515	165	49	⋱	⋱	SYM
cana-4515	165	50	⋱	⋱	X
cana-4515	165	51	⋱	⋱	X
cana-4515	165	52	−1	−1	NOUN
cana-4515	165	53	4	4	NUM
cana-4515	165	54	0	0	NUM
cana-4515	165	55	⋱	⋱	SYM
cana-4515	165	56	⋱	⋱	X
cana-4515	165	57	−1	−1	NOUN
cana-4515	165	58	−1	−1	NOUN
cana-4515	165	59	−1	−1	NOUN
cana-4515	165	60	−1	−1	NOUN
cana-4515	165	61	−1	−1	NOUN
cana-4515	165	62	⋱	⋱	PUNCT
cana-4515	165	63	⋱	⋱	SYM
cana-4515	165	64	0	0	NUM
cana-4515	165	65	4	4	NUM
cana-4515	165	66	−1	−1	NOUN
cana-4515	165	67	⋱	⋱	PUNCT
cana-4515	165	68	⋱	⋱	PUNCT
cana-4515	165	69	0	0	NUM
cana-4515	165	70	0	0	NUM
cana-4515	165	71	⋱	⋱	SYM
cana-4515	165	72	⋱	⋱	X
cana-4515	165	73	⋱	⋱	X
cana-4515	165	74	⋱	⋱	X
cana-4515	165	75	⋱	⋱	X
cana-4515	165	76	−1	−1	NOUN
cana-4515	165	77	5	5	NUM
cana-4515	165	78	⋱	⋱	SYM
cana-4515	165	79	⋱	⋱	X
cana-4515	165	80	⋮	⋮	ADJ
cana-4515	165	81	⋮	⋮	NOUN
cana-4515	165	82	⋱	⋱	PUNCT
cana-4515	165	83	⋱	⋱	PUNCT
cana-4515	165	84	⋱	⋱	X
cana-4515	165	85	⋱	⋱	X
cana-4515	165	86	⋱	⋱	X
cana-4515	165	87	⋱	⋱	X
cana-4515	165	88	⋱	⋱	X
cana-4515	165	89	⋱	⋱	X
cana-4515	165	90	⋱	⋱	X
cana-4515	165	91	0	0	NUM
cana-4515	165	92	⋮	⋮	NOUN
cana-4515	165	93	⋱	⋱	PUNCT
cana-4515	165	94	⋱	⋱	PUNCT
cana-4515	165	95	⋱	⋱	X
cana-4515	165	96	⋱	⋱	X
cana-4515	165	97	−1	−1	NOUN
cana-4515	165	98	⋱	⋱	SYM
cana-4515	165	99	⋱	⋱	PUNCT
cana-4515	165	100	⋱	⋱	SYM
cana-4515	165	101	5	5	NUM
cana-4515	165	102	−1	−1	NOUN
cana-4515	165	103	0	0	PUNCT
cana-4515	165	104	⋯	⋯	NOUN
cana-4515	165	105	⋯	⋯	PROPN
cana-4515	165	106	0	0	NUM
cana-4515	165	107	−1	−1	NOUN
cana-4515	165	108	−1	−1	NOUN
cana-4515	165	109	0	0	PROPN
cana-4515	165	110	⋯	⋯	NOUN
cana-4515	165	111	0	0	NUM
cana-4515	165	112	−1	−1	NOUN
cana-4515	165	113	4	4	NUM
cana-4515	166	1	|	|	ADV
cana-4515	166	2	|	|	ADV
cana-4515	167	1	|	|	ADV
cana-4515	167	2	(	(	PUNCT
cana-4515	167	3	2𝑘+3)×(2𝑘+3	2𝑘+3)×(2𝑘+3	NOUN
cana-4515	167	4	)	)	PUNCT
cana-4515	167	5	consequently	consequently	ADV
cana-4515	167	6	,	,	PUNCT
cana-4515	167	7	we	we	PRON
cana-4515	167	8	can	can	AUX
cana-4515	167	9	have	have	VERB
cana-4515	167	10	𝜏(𝐺	𝜏(𝐺	NOUN
cana-4515	167	11	)	)	PUNCT
cana-4515	167	12	=	=	SYM
cana-4515	168	1	1	1	NUM
cana-4515	168	2	(	(	PUNCT
cana-4515	168	3	50	50	NUM
cana-4515	168	4	+	+	CCONJ
cana-4515	168	5	(	(	PUNCT
cana-4515	168	6	𝑘	𝑘	PRON
cana-4515	168	7	−	−	PROPN
cana-4515	168	8	1	1	NUM
cana-4515	168	9	)	)	PUNCT
cana-4515	168	10	×	×	NOUN
cana-4515	168	11	15	15	NUM
cana-4515	168	12	)	)	PUNCT
cana-4515	168	13	×	×	NOUN
cana-4515	169	1	12𝑘−1	12𝑘−1	NUM
cana-4515	170	1	|	|	ADV
cana-4515	170	2	60	60	NUM
cana-4515	170	3	×	×	NOUN
cana-4515	170	4	12𝑘−1	12𝑘−1	NUM
cana-4515	170	5	50	50	NUM
cana-4515	170	6	×	×	NOUN
cana-4515	170	7	12𝑘−1	12𝑘−1	NUM
cana-4515	170	8	50	50	NUM
cana-4515	170	9	×	×	NOUN
cana-4515	170	10	12𝑘−1	12𝑘−1	NUM
cana-4515	170	11	(	(	PUNCT
cana-4515	170	12	125	125	NUM
cana-4515	170	13	+	+	SYM
cana-4515	170	14	(	(	PUNCT
cana-4515	170	15	𝑘	𝑘	PRON
cana-4515	170	16	−	−	PROPN
cana-4515	170	17	1	1	NUM
cana-4515	170	18	)	)	PUNCT
cana-4515	170	19	×	×	NOUN
cana-4515	170	20	25	25	NUM
cana-4515	170	21	)	)	PUNCT
cana-4515	170	22	×	×	NOUN
cana-4515	170	23	12𝑘−1	12𝑘−1	NUM
cana-4515	170	24	|	|	ADV
cana-4515	170	25	,	,	PUNCT
cana-4515	170	26	or	or	CCONJ
cana-4515	170	27	𝜏(𝐺	𝜏(𝐺	NOUN
cana-4515	170	28	)	)	PUNCT
cana-4515	170	29	=	=	SYM
cana-4515	171	1	100	100	NUM
cana-4515	171	2	×	×	NOUN
cana-4515	171	3	12𝑘−1	12𝑘−1	NOUN
cana-4515	171	4	,	,	PUNCT
cana-4515	171	5	where	where	SCONJ
cana-4515	171	6	k	k	PROPN
cana-4515	171	7	is	be	AUX
cana-4515	171	8	the	the	DET
cana-4515	171	9	number	number	NOUN
cana-4515	171	10	of	of	ADP
cana-4515	171	11	blocks	block	NOUN
cana-4515	171	12	.	.	PUNCT
cana-4515	172	1	communications	communication	NOUN
cana-4515	172	2	on	on	ADP
cana-4515	172	3	applied	apply	VERB
cana-4515	172	4	nonlinear	nonlinear	ADJ
cana-4515	172	5	analysis	analysis	NOUN
cana-4515	172	6	issn	issn	NOUN
cana-4515	172	7	:	:	PUNCT
cana-4515	172	8	1074	1074	NUM
cana-4515	172	9	-	-	PUNCT
cana-4515	172	10	133x	133x	NUM
cana-4515	172	11	vol	vol	NOUN
cana-4515	172	12	32	32	NUM
cana-4515	172	13	no	no	NOUN
cana-4515	172	14	.	.	PUNCT
cana-4515	173	1	9s	9s	NUM
cana-4515	173	2	(	(	PUNCT
cana-4515	173	3	2025	2025	NUM
cana-4515	173	4	)	)	PUNCT
cana-4515	173	5	2296	2296	NUM
cana-4515	173	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4515	173	7	𝜏(𝐺	𝜏(𝐺	NOUN
cana-4515	173	8	)	)	PUNCT
cana-4515	173	9	=	=	SYM
cana-4515	174	1	1	1	NUM
cana-4515	175	1	|	|	ADV
cana-4515	175	2	|	|	ADV
cana-4515	175	3	|	|	ADV
cana-4515	175	4	4	4	NUM
cana-4515	175	5	−1	−1	NOUN
cana-4515	175	6	0	0	PUNCT
cana-4515	176	1	⋯	⋯	NOUN
cana-4515	176	2	0	0	NUM
cana-4515	176	3	−1	−1	NOUN
cana-4515	176	4	−1	−1	NOUN
cana-4515	176	5	0	0	PUNCT
cana-4515	177	1	⋯	⋯	NOUN
cana-4515	177	2	−1	−1	NOUN
cana-4515	177	3	5	5	NUM
cana-4515	177	4	⋱	⋱	PUNCT
cana-4515	177	5	⋱	⋱	X
cana-4515	177	6	⋱	⋱	X
cana-4515	177	7	−1	−1	NOUN
cana-4515	177	8	⋱	⋱	PUNCT
cana-4515	177	9	⋱	⋱	X
cana-4515	177	10	⋱	⋱	X
cana-4515	177	11	0	0	NUM
cana-4515	177	12	⋱	⋱	SYM
cana-4515	177	13	⋱	⋱	X
cana-4515	177	14	⋱	⋱	X
cana-4515	177	15	⋱	⋱	X
cana-4515	177	16	⋱	⋱	X
cana-4515	177	17	⋱	⋱	X
cana-4515	177	18	⋱	⋱	X
cana-4515	177	19	−1	−1	NOUN
cana-4515	177	20	⋮	⋮	NOUN
cana-4515	177	21	⋱	⋱	PUNCT
cana-4515	177	22	⋱	⋱	SYM
cana-4515	177	23	5	5	NUM
cana-4515	177	24	−1	−1	NOUN
cana-4515	177	25	⋱	⋱	PUNCT
cana-4515	177	26	⋱	⋱	PUNCT
cana-4515	177	27	⋱	⋱	X
cana-4515	177	28	−1	−1	NOUN
cana-4515	177	29	0	0	PUNCT
cana-4515	177	30	⋱	⋱	SYM
cana-4515	177	31	⋱	⋱	X
cana-4515	177	32	−1	−1	NOUN
cana-4515	177	33	4	4	NUM
cana-4515	177	34	0	0	NUM
cana-4515	177	35	⋱	⋱	SYM
cana-4515	177	36	⋱	⋱	X
cana-4515	177	37	−1	−1	NOUN
cana-4515	177	38	−1	−1	NOUN
cana-4515	177	39	−1	−1	NOUN
cana-4515	177	40	⋱	⋱	PUNCT
cana-4515	177	41	⋱	⋱	SYM
cana-4515	177	42	0	0	NUM
cana-4515	177	43	4	4	NUM
cana-4515	177	44	−1	−1	NOUN
cana-4515	177	45	⋱	⋱	PUNCT
cana-4515	177	46	0	0	NUM
cana-4515	177	47	−1	−1	NOUN
cana-4515	177	48	⋱	⋱	PUNCT
cana-4515	177	49	⋱	⋱	PUNCT
cana-4515	177	50	⋱	⋱	X
cana-4515	177	51	⋱	⋱	X
cana-4515	177	52	−1	−1	NOUN
cana-4515	177	53	5	5	NUM
cana-4515	177	54	⋱	⋱	PUNCT
cana-4515	177	55	⋮	⋮	NOUN
cana-4515	177	56	0	0	NUM
cana-4515	177	57	⋱	⋱	SYM
cana-4515	177	58	⋱	⋱	X
cana-4515	177	59	−1	−1	NOUN
cana-4515	177	60	⋱	⋱	PUNCT
cana-4515	177	61	⋱	⋱	PUNCT
cana-4515	177	62	⋱	⋱	X
cana-4515	177	63	⋱	⋱	X
cana-4515	177	64	−1	−1	NOUN
cana-4515	177	65	⋮	⋮	NOUN
cana-4515	177	66	⋱	⋱	PUNCT
cana-4515	177	67	−1	−1	NOUN
cana-4515	177	68	−1	−1	NOUN
cana-4515	177	69	0	0	PROPN
cana-4515	178	1	⋯	⋯	NOUN
cana-4515	178	2	0	0	NUM
cana-4515	178	3	−1	−1	NOUN
cana-4515	178	4	5	5	NUM
cana-4515	179	1	|	|	ADV
cana-4515	179	2	|	|	ADV
cana-4515	179	3	|	|	ADV
cana-4515	179	4	(	(	PUNCT
cana-4515	179	5	2𝑘+1)∗(2𝑘+1	2𝑘+1)∗(2𝑘+1	NUM
cana-4515	179	6	)	)	PUNCT
cana-4515	180	1	|	|	ADV
cana-4515	181	1	|	|	ADV
cana-4515	181	2	|	|	INTJ
cana-4515	182	1	|	|	INTJ
cana-4515	182	2	|	|	INTJ
cana-4515	183	1	|	|	INTJ
cana-4515	184	1	|	|	INTJ
cana-4515	184	2	|	|	ADV
cana-4515	185	1	|	|	ADV
cana-4515	185	2	2	2	NUM
cana-4515	185	3	−1	−1	NOUN
cana-4515	185	4	0	0	NUM
cana-4515	186	1	⋯	⋯	NOUN
cana-4515	187	1	⋯	⋯	ADP
cana-4515	187	2	0	0	NUM
cana-4515	187	3	−1	−1	NOUN
cana-4515	187	4	0	0	PUNCT
cana-4515	188	1	⋯	⋯	NOUN
cana-4515	188	2	0	0	NUM
cana-4515	188	3	−1	−1	NOUN
cana-4515	188	4	4	4	NUM
cana-4515	188	5	⋱	⋱	SYM
cana-4515	188	6	⋱	⋱	X
cana-4515	188	7	⋱	⋱	X
cana-4515	188	8	⋮	⋮	NOUN
cana-4515	188	9	−1	−1	NOUN
cana-4515	188	10	⋱	⋱	X
cana-4515	188	11	⋱	⋱	X
cana-4515	188	12	⋮	⋮	NOUN
cana-4515	188	13	0	0	NUM
cana-4515	188	14	⋱	⋱	SYM
cana-4515	188	15	5	5	NUM
cana-4515	188	16	⋱	⋱	SYM
cana-4515	188	17	⋱	⋱	X
cana-4515	188	18	⋱	⋱	X
cana-4515	188	19	−1	−1	NOUN
cana-4515	188	20	⋱	⋱	SYM
cana-4515	188	21	⋱	⋱	X
cana-4515	188	22	0	0	NUM
cana-4515	188	23	⋮	⋮	NOUN
cana-4515	188	24	⋱	⋱	PUNCT
cana-4515	188	25	⋱	⋱	PUNCT
cana-4515	188	26	⋱	⋱	X
cana-4515	188	27	⋱	⋱	X
cana-4515	188	28	⋱	⋱	X
cana-4515	188	29	⋱	⋱	X
cana-4515	188	30	⋱	⋱	X
cana-4515	188	31	⋱	⋱	X
cana-4515	188	32	−1	−1	NOUN
cana-4515	188	33	⋮	⋮	NOUN
cana-4515	188	34	⋱	⋱	PUNCT
cana-4515	188	35	⋱	⋱	PUNCT
cana-4515	188	36	⋱	⋱	SYM
cana-4515	188	37	5	5	NUM
cana-4515	188	38	−1	−1	NOUN
cana-4515	188	39	⋱	⋱	PUNCT
cana-4515	188	40	⋱	⋱	PUNCT
cana-4515	188	41	⋱	⋱	X
cana-4515	188	42	−1	−1	NOUN
cana-4515	188	43	0	0	NUM
cana-4515	188	44	0	0	NUM
cana-4515	188	45	⋱	⋱	SYM
cana-4515	188	46	⋱	⋱	X
cana-4515	188	47	−1	−1	NOUN
cana-4515	188	48	4	4	NUM
cana-4515	188	49	0	0	NUM
cana-4515	188	50	⋱	⋱	SYM
cana-4515	188	51	⋱	⋱	X
cana-4515	188	52	−1	−1	NOUN
cana-4515	188	53	−1	−1	NOUN
cana-4515	188	54	−1	−1	NOUN
cana-4515	188	55	−1	−1	NOUN
cana-4515	188	56	⋱	⋱	PUNCT
cana-4515	188	57	⋱	⋱	SYM
cana-4515	188	58	0	0	NUM
cana-4515	188	59	4	4	NUM
cana-4515	188	60	−1	−1	NOUN
cana-4515	188	61	⋱	⋱	PUNCT
cana-4515	188	62	0	0	NUM
cana-4515	188	63	0	0	NUM
cana-4515	188	64	⋱	⋱	SYM
cana-4515	188	65	⋱	⋱	X
cana-4515	188	66	⋱	⋱	X
cana-4515	188	67	⋱	⋱	X
cana-4515	188	68	⋱	⋱	X
cana-4515	188	69	−1	−1	NOUN
cana-4515	188	70	5	5	NUM
cana-4515	188	71	⋱	⋱	PUNCT
cana-4515	188	72	⋮	⋮	NOUN
cana-4515	188	73	⋮	⋮	NOUN
cana-4515	188	74	⋱	⋱	PUNCT
cana-4515	188	75	⋱	⋱	PUNCT
cana-4515	188	76	⋱	⋱	X
cana-4515	188	77	⋱	⋱	X
cana-4515	188	78	⋱	⋱	X
cana-4515	188	79	⋱	⋱	X
cana-4515	188	80	⋱	⋱	X
cana-4515	188	81	⋱	⋱	X
cana-4515	188	82	−1	−1	NOUN
cana-4515	188	83	0	0	PUNCT
cana-4515	188	84	⋯	⋯	NOUN
cana-4515	188	85	0	0	NUM
cana-4515	188	86	−1	−1	NOUN
cana-4515	188	87	−1	−1	NOUN
cana-4515	188	88	−1	−1	NOUN
cana-4515	188	89	0	0	PUNCT
cana-4515	188	90	⋯	⋯	NOUN
cana-4515	188	91	−1	−1	NOUN
cana-4515	188	92	5	5	NUM
cana-4515	189	1	|	|	ADV
cana-4515	189	2	|	|	ADV
cana-4515	189	3	|	|	ADV
cana-4515	189	4	(	(	PUNCT
cana-4515	189	5	2𝑘+2)∗(2𝑘+2	2𝑘+2)∗(2𝑘+2	NUM
cana-4515	189	6	)	)	PUNCT
cana-4515	190	1	|	|	ADV
cana-4515	190	2	|	|	ADV
cana-4515	190	3	|	|	ADV
cana-4515	190	4	−1	−1	NOUN
cana-4515	190	5	0	0	PUNCT
cana-4515	191	1	⋯	⋯	NOUN
cana-4515	191	2	⋯	⋯	ADP
cana-4515	191	3	0	0	NUM
cana-4515	191	4	−1	−1	NOUN
cana-4515	191	5	0	0	PUNCT
cana-4515	192	1	⋯	⋯	NOUN
cana-4515	192	2	⋯	⋯	NOUN
cana-4515	192	3	0	0	NUM
cana-4515	192	4	4	4	NUM
cana-4515	192	5	⋱	⋱	SYM
cana-4515	192	6	⋱	⋱	X
cana-4515	192	7	⋱	⋱	X
cana-4515	192	8	⋮	⋮	NOUN
cana-4515	192	9	−1	−1	NOUN
cana-4515	192	10	⋱	⋱	SYM
cana-4515	192	11	⋱	⋱	X
cana-4515	192	12	⋱	⋱	X
cana-4515	192	13	⋮	⋮	NOUN
cana-4515	192	14	−1	−1	NOUN
cana-4515	192	15	5	5	NUM
cana-4515	192	16	⋱	⋱	PUNCT
cana-4515	192	17	⋱	⋱	X
cana-4515	192	18	⋱	⋱	X
cana-4515	192	19	−1	−1	NOUN
cana-4515	192	20	⋱	⋱	SYM
cana-4515	192	21	⋱	⋱	X
cana-4515	192	22	⋱	⋱	X
cana-4515	192	23	⋮	⋮	NOUN
cana-4515	192	24	0	0	NUM
cana-4515	192	25	⋱	⋱	SYM
cana-4515	192	26	⋱	⋱	X
cana-4515	192	27	⋱	⋱	X
cana-4515	192	28	⋱	⋱	X
cana-4515	192	29	⋱	⋱	X
cana-4515	192	30	⋱	⋱	X
cana-4515	192	31	⋱	⋱	X
cana-4515	192	32	⋱	⋱	X
cana-4515	192	33	0	0	NUM
cana-4515	192	34	⋮	⋮	NOUN
cana-4515	192	35	⋱	⋱	PUNCT
cana-4515	192	36	⋱	⋱	SYM
cana-4515	192	37	5	5	NUM
cana-4515	192	38	−1	−1	NOUN
cana-4515	192	39	⋱	⋱	PUNCT
cana-4515	192	40	⋱	⋱	PUNCT
cana-4515	192	41	⋱	⋱	X
cana-4515	192	42	⋱	⋱	X
cana-4515	192	43	−1	−1	NOUN
cana-4515	192	44	0	0	PUNCT
cana-4515	192	45	⋱	⋱	SYM
cana-4515	192	46	⋱	⋱	X
cana-4515	192	47	−1	−1	NOUN
cana-4515	192	48	4	4	NUM
cana-4515	192	49	0	0	NUM
cana-4515	192	50	⋱	⋱	SYM
cana-4515	192	51	⋱	⋱	X
cana-4515	192	52	−1	−1	NOUN
cana-4515	192	53	−1	−1	NOUN
cana-4515	192	54	−1	−1	NOUN
cana-4515	192	55	−1	−1	NOUN
cana-4515	192	56	⋱	⋱	PUNCT
cana-4515	192	57	⋱	⋱	SYM
cana-4515	192	58	0	0	NUM
cana-4515	192	59	4	4	NUM
cana-4515	192	60	−1	−1	NOUN
cana-4515	192	61	⋱	⋱	PUNCT
cana-4515	192	62	⋱	⋱	PUNCT
cana-4515	192	63	0	0	NUM
cana-4515	192	64	−1	−1	NOUN
cana-4515	192	65	⋱	⋱	PUNCT
cana-4515	192	66	⋱	⋱	PUNCT
cana-4515	192	67	⋱	⋱	X
cana-4515	192	68	⋱	⋱	X
cana-4515	192	69	−1	−1	NOUN
cana-4515	192	70	5	5	NUM
cana-4515	192	71	⋱	⋱	SYM
cana-4515	192	72	⋱	⋱	X
cana-4515	192	73	⋮	⋮	NOUN
cana-4515	192	74	0	0	NUM
cana-4515	192	75	⋱	⋱	SYM
cana-4515	192	76	⋱	⋱	X
cana-4515	192	77	⋱	⋱	X
cana-4515	192	78	⋱	⋱	X
cana-4515	192	79	⋱	⋱	X
cana-4515	192	80	⋱	⋱	X
cana-4515	192	81	⋱	⋱	X
cana-4515	192	82	⋱	⋱	X
cana-4515	192	83	0	0	NUM
cana-4515	192	84	⋮	⋮	NOUN
cana-4515	192	85	⋯	⋯	ADP
cana-4515	192	86	−1	−1	NOUN
cana-4515	192	87	−1	−1	NOUN
cana-4515	192	88	−1	−1	NOUN
cana-4515	192	89	0	0	PUNCT
cana-4515	193	1	⋯	⋯	NOUN
cana-4515	193	2	−1	−1	NOUN
cana-4515	193	3	5	5	NUM
cana-4515	193	4	−1	−1	NOUN
cana-4515	194	1	|	|	ADV
cana-4515	194	2	|	|	ADV
cana-4515	194	3	|	|	INTJ
cana-4515	194	4	(	(	PUNCT
cana-4515	194	5	2𝑘+2)∗(2𝑘+2	2𝑘+2)∗(2𝑘+2	NUM
cana-4515	194	6	)	)	PUNCT
cana-4515	195	1	|	|	ADV
cana-4515	195	2	|	|	ADV
cana-4515	195	3	|	|	ADV
cana-4515	195	4	−1	−1	NOUN
cana-4515	195	5	4	4	NUM
cana-4515	195	6	−1	−1	NOUN
cana-4515	195	7	0	0	PUNCT
cana-4515	195	8	⋯	⋯	NOUN
cana-4515	195	9	0	0	NUM
cana-4515	195	10	−1	−1	NOUN
cana-4515	195	11	−1	−1	NOUN
cana-4515	195	12	0	0	PROPN
cana-4515	195	13	⋯	⋯	NOUN
cana-4515	195	14	0	0	NUM
cana-4515	195	15	⋱	⋱	SYM
cana-4515	195	16	5	5	NUM
cana-4515	195	17	⋱	⋱	SYM
cana-4515	195	18	⋱	⋱	X
cana-4515	195	19	⋮	⋮	NOUN
cana-4515	195	20	−1	−1	NOUN
cana-4515	195	21	⋱	⋱	SYM
cana-4515	195	22	⋱	⋱	X
cana-4515	195	23	⋱	⋱	X
cana-4515	195	24	⋮	⋮	NOUN
cana-4515	195	25	⋱	⋱	PUNCT
cana-4515	195	26	⋱	⋱	PUNCT
cana-4515	195	27	⋱	⋱	X
cana-4515	195	28	⋱	⋱	X
cana-4515	195	29	⋱	⋱	X
cana-4515	195	30	⋱	⋱	X
cana-4515	195	31	⋱	⋱	X
cana-4515	195	32	⋱	⋱	X
cana-4515	195	33	−1	−1	NOUN
cana-4515	195	34	⋮	⋮	NOUN
cana-4515	195	35	⋱	⋱	PUNCT
cana-4515	195	36	⋱	⋱	PUNCT
cana-4515	195	37	⋱	⋱	SYM
cana-4515	195	38	5	5	NUM
cana-4515	195	39	−1	−1	NOUN
cana-4515	195	40	⋱	⋱	PUNCT
cana-4515	195	41	⋱	⋱	PUNCT
cana-4515	195	42	⋱	⋱	X
cana-4515	195	43	−1	−1	NOUN
cana-4515	195	44	0	0	PUNCT
cana-4515	195	45	⋯	⋯	NOUN
cana-4515	195	46	⋱	⋱	X
cana-4515	195	47	⋱	⋱	X
cana-4515	195	48	−1	−1	NOUN
cana-4515	195	49	4	4	NUM
cana-4515	195	50	0	0	NUM
cana-4515	195	51	⋱	⋱	SYM
cana-4515	195	52	⋱	⋱	X
cana-4515	195	53	−1	−1	NOUN
cana-4515	195	54	−1	−1	NOUN
cana-4515	195	55	−1	−1	NOUN
cana-4515	195	56	−1	−1	NOUN
cana-4515	195	57	⋱	⋱	PUNCT
cana-4515	195	58	⋱	⋱	SYM
cana-4515	195	59	0	0	NUM
cana-4515	195	60	4	4	NUM
cana-4515	195	61	−1	−1	NOUN
cana-4515	195	62	⋱	⋱	PUNCT
cana-4515	195	63	0	0	NUM
cana-4515	195	64	0	0	NUM
cana-4515	195	65	⋱	⋱	SYM
cana-4515	195	66	⋱	⋱	X
cana-4515	195	67	⋱	⋱	X
cana-4515	195	68	⋱	⋱	X
cana-4515	195	69	⋱	⋱	X
cana-4515	195	70	−1	−1	NOUN
cana-4515	195	71	5	5	NUM
cana-4515	195	72	⋱	⋱	PUNCT
cana-4515	195	73	⋮	⋮	NOUN
cana-4515	195	74	⋮	⋮	NOUN
cana-4515	195	75	⋱	⋱	PUNCT
cana-4515	195	76	⋱	⋱	PUNCT
cana-4515	195	77	⋱	⋱	X
cana-4515	195	78	⋱	⋱	X
cana-4515	195	79	⋱	⋱	X
cana-4515	195	80	⋱	⋱	X
cana-4515	195	81	⋱	⋱	X
cana-4515	195	82	⋱	⋱	X
cana-4515	195	83	−1	−1	NOUN
cana-4515	195	84	⋮	⋮	NOUN
cana-4515	195	85	⋱	⋱	PUNCT
cana-4515	195	86	⋱	⋱	PUNCT
cana-4515	195	87	⋱	⋱	X
cana-4515	195	88	⋱	⋱	X
cana-4515	195	89	−1	−1	NOUN
cana-4515	195	90	⋱	⋱	SYM
cana-4515	195	91	⋱	⋱	X
cana-4515	195	92	⋱	⋱	SYM
cana-4515	195	93	5	5	X
cana-4515	195	94	0	0	NUM
cana-4515	195	95	⋯	⋯	NOUN
cana-4515	195	96	⋯	⋯	PROPN
cana-4515	195	97	0	0	NUM
cana-4515	195	98	−1	−1	NOUN
cana-4515	195	99	−1	−1	NOUN
cana-4515	195	100	0	0	PROPN
cana-4515	195	101	⋯	⋯	NOUN
cana-4515	195	102	0	0	NUM
cana-4515	195	103	−1	−1	NOUN
cana-4515	196	1	|	|	ADV
cana-4515	196	2	|	|	ADV
cana-4515	197	1	|	|	INTJ
cana-4515	197	2	(	(	PUNCT
cana-4515	197	3	2𝑘+2)∗(2𝑘+2	2𝑘+2)∗(2𝑘+2	NUM
cana-4515	197	4	)	)	PUNCT
cana-4515	198	1	|	|	ADV
cana-4515	198	2	|	|	ADV
cana-4515	198	3	|	|	ADV
cana-4515	198	4	4	4	NUM
cana-4515	198	5	−1	−1	NOUN
cana-4515	198	6	0	0	PUNCT
cana-4515	199	1	⋯	⋯	NOUN
cana-4515	199	2	0	0	NUM
cana-4515	199	3	−1	−1	NOUN
cana-4515	199	4	−1	−1	NOUN
cana-4515	199	5	0	0	PROPN
cana-4515	200	1	⋯	⋯	NOUN
cana-4515	200	2	0	0	NUM
cana-4515	200	3	−1	−1	NOUN
cana-4515	200	4	5	5	NUM
cana-4515	200	5	⋱	⋱	PUNCT
cana-4515	200	6	⋱	⋱	X
cana-4515	200	7	⋱	⋱	X
cana-4515	200	8	−1	−1	NOUN
cana-4515	200	9	⋱	⋱	SYM
cana-4515	200	10	⋱	⋱	X
cana-4515	200	11	⋱	⋱	X
cana-4515	200	12	⋮	⋮	NOUN
cana-4515	200	13	0	0	NUM
cana-4515	200	14	⋱	⋱	SYM
cana-4515	200	15	⋱	⋱	X
cana-4515	200	16	⋱	⋱	X
cana-4515	200	17	⋱	⋱	X
cana-4515	200	18	⋱	⋱	X
cana-4515	200	19	⋱	⋱	X
cana-4515	200	20	⋱	⋱	X
cana-4515	200	21	⋱	⋱	X
cana-4515	200	22	0	0	NUM
cana-4515	200	23	⋮	⋮	NOUN
cana-4515	200	24	⋱	⋱	PUNCT
cana-4515	200	25	⋱	⋱	SYM
cana-4515	200	26	5	5	NUM
cana-4515	200	27	−1	−1	NOUN
cana-4515	200	28	⋱	⋱	PUNCT
cana-4515	200	29	⋱	⋱	PUNCT
cana-4515	200	30	⋱	⋱	X
cana-4515	200	31	⋱	⋱	X
cana-4515	200	32	−1	−1	NOUN
cana-4515	200	33	0	0	PUNCT
cana-4515	200	34	⋱	⋱	SYM
cana-4515	200	35	⋱	⋱	X
cana-4515	200	36	−1	−1	NOUN
cana-4515	200	37	4	4	NUM
cana-4515	200	38	0	0	NUM
cana-4515	200	39	⋱	⋱	SYM
cana-4515	200	40	⋱	⋱	X
cana-4515	200	41	−1	−1	NOUN
cana-4515	200	42	−1	−1	NOUN
cana-4515	200	43	−1	−1	NOUN
cana-4515	200	44	−1	−1	NOUN
cana-4515	200	45	⋱	⋱	PUNCT
cana-4515	200	46	⋱	⋱	SYM
cana-4515	200	47	0	0	NUM
cana-4515	200	48	4	4	NUM
cana-4515	200	49	−1	−1	NOUN
cana-4515	200	50	⋱	⋱	PUNCT
cana-4515	200	51	⋱	⋱	PUNCT
cana-4515	200	52	0	0	NUM
cana-4515	200	53	−1	−1	NOUN
cana-4515	200	54	⋱	⋱	PUNCT
cana-4515	200	55	⋱	⋱	PUNCT
cana-4515	200	56	⋱	⋱	X
cana-4515	200	57	⋱	⋱	X
cana-4515	200	58	−1	−1	NOUN
cana-4515	200	59	5	5	NUM
cana-4515	200	60	⋱	⋱	SYM
cana-4515	200	61	⋱	⋱	X
cana-4515	200	62	⋮	⋮	NOUN
cana-4515	200	63	0	0	NUM
cana-4515	200	64	⋱	⋱	SYM
cana-4515	200	65	⋱	⋱	X
cana-4515	200	66	⋱	⋱	X
cana-4515	200	67	⋱	⋱	X
cana-4515	200	68	⋱	⋱	X
cana-4515	200	69	⋱	⋱	X
cana-4515	200	70	⋱	⋱	X
cana-4515	200	71	⋱	⋱	X
cana-4515	200	72	0	0	NUM
cana-4515	200	73	⋮	⋮	NOUN
cana-4515	200	74	⋱	⋱	PUNCT
cana-4515	200	75	⋱	⋱	PUNCT
cana-4515	200	76	⋱	⋱	X
cana-4515	200	77	−1	−1	NOUN
cana-4515	200	78	⋱	⋱	SYM
cana-4515	200	79	⋱	⋱	PUNCT
cana-4515	200	80	⋱	⋱	SYM
cana-4515	200	81	5	5	NUM
cana-4515	200	82	−1	−1	NOUN
cana-4515	200	83	0	0	PUNCT
cana-4515	200	84	⋯	⋯	NOUN
cana-4515	200	85	0	0	NUM
cana-4515	200	86	−1	−1	NOUN
cana-4515	200	87	−1	−1	NOUN
cana-4515	200	88	0	0	PROPN
cana-4515	200	89	⋯	⋯	NOUN
cana-4515	200	90	0	0	NUM
cana-4515	200	91	−1	−1	NOUN
cana-4515	200	92	4	4	NUM
cana-4515	201	1	|	|	ADV
cana-4515	201	2	|	|	ADV
cana-4515	202	1	|	|	ADV
cana-4515	202	2	(	(	PUNCT
cana-4515	202	3	2𝑘+2)∗(2𝑘+2	2𝑘+2)∗(2𝑘+2	NUM
cana-4515	202	4	)	)	PUNCT
cana-4515	203	1	|	|	ADV
cana-4515	204	1	|	|	ADV
cana-4515	204	2	|	|	INTJ
cana-4515	205	1	|	|	INTJ
cana-4515	205	2	|	|	ADV
cana-4515	205	3	|	|	ADV
cana-4515	205	4	for	for	ADP
cana-4515	205	5	which	which	PRON
cana-4515	205	6	1	1	NUM
cana-4515	205	7	𝑆	𝑆	NOUN
cana-4515	205	8	=	=	SYM
cana-4515	205	9	1	1	NUM
cana-4515	206	1	|	|	ADV
cana-4515	206	2	|	|	ADV
cana-4515	206	3	|	|	ADV
cana-4515	206	4	4	4	NUM
cana-4515	206	5	−1	−1	NOUN
cana-4515	206	6	0	0	PUNCT
cana-4515	207	1	⋯	⋯	NOUN
cana-4515	207	2	0	0	NUM
cana-4515	207	3	−1	−1	NOUN
cana-4515	207	4	−1	−1	NOUN
cana-4515	207	5	0	0	PUNCT
cana-4515	208	1	⋯	⋯	NOUN
cana-4515	208	2	−1	−1	NOUN
cana-4515	208	3	5	5	NUM
cana-4515	208	4	⋱	⋱	PUNCT
cana-4515	208	5	⋱	⋱	X
cana-4515	208	6	⋱	⋱	X
cana-4515	208	7	−1	−1	NOUN
cana-4515	208	8	⋱	⋱	PUNCT
cana-4515	208	9	⋱	⋱	X
cana-4515	208	10	⋱	⋱	X
cana-4515	208	11	0	0	NUM
cana-4515	208	12	⋱	⋱	SYM
cana-4515	208	13	⋱	⋱	X
cana-4515	208	14	⋱	⋱	X
cana-4515	208	15	⋱	⋱	X
cana-4515	208	16	⋱	⋱	X
cana-4515	208	17	⋱	⋱	X
cana-4515	208	18	⋱	⋱	X
cana-4515	208	19	−1	−1	NOUN
cana-4515	208	20	⋮	⋮	NOUN
cana-4515	208	21	⋱	⋱	PUNCT
cana-4515	208	22	⋱	⋱	SYM
cana-4515	208	23	5	5	NUM
cana-4515	208	24	−1	−1	NOUN
cana-4515	208	25	⋱	⋱	PUNCT
cana-4515	208	26	⋱	⋱	PUNCT
cana-4515	208	27	⋱	⋱	X
cana-4515	208	28	−1	−1	NOUN
cana-4515	208	29	0	0	PUNCT
cana-4515	208	30	⋱	⋱	SYM
cana-4515	208	31	⋱	⋱	X
cana-4515	208	32	−1	−1	NOUN
cana-4515	208	33	4	4	NUM
cana-4515	208	34	0	0	NUM
cana-4515	208	35	⋱	⋱	SYM
cana-4515	208	36	⋱	⋱	X
cana-4515	208	37	−1	−1	NOUN
cana-4515	208	38	−1	−1	NOUN
cana-4515	208	39	−1	−1	NOUN
cana-4515	208	40	⋱	⋱	PUNCT
cana-4515	208	41	⋱	⋱	SYM
cana-4515	208	42	0	0	NUM
cana-4515	208	43	4	4	NUM
cana-4515	208	44	−1	−1	NOUN
cana-4515	208	45	⋱	⋱	PUNCT
cana-4515	208	46	0	0	NUM
cana-4515	208	47	−1	−1	NOUN
cana-4515	208	48	⋱	⋱	PUNCT
cana-4515	208	49	⋱	⋱	PUNCT
cana-4515	208	50	⋱	⋱	X
cana-4515	208	51	⋱	⋱	X
cana-4515	208	52	−1	−1	NOUN
cana-4515	208	53	5	5	NUM
cana-4515	208	54	⋱	⋱	PUNCT
cana-4515	208	55	⋮	⋮	NOUN
cana-4515	208	56	0	0	NUM
cana-4515	208	57	⋱	⋱	SYM
cana-4515	208	58	⋱	⋱	X
cana-4515	208	59	−1	−1	NOUN
cana-4515	208	60	⋱	⋱	PUNCT
cana-4515	208	61	⋱	⋱	PUNCT
cana-4515	208	62	⋱	⋱	X
cana-4515	208	63	⋱	⋱	X
cana-4515	208	64	−1	−1	NOUN
cana-4515	208	65	⋮	⋮	NOUN
cana-4515	208	66	⋱	⋱	PUNCT
cana-4515	208	67	−1	−1	NOUN
cana-4515	208	68	−1	−1	NOUN
cana-4515	208	69	0	0	PROPN
cana-4515	209	1	⋯	⋯	NOUN
cana-4515	209	2	0	0	NUM
cana-4515	209	3	−1	−1	NOUN
cana-4515	209	4	5	5	NUM
cana-4515	210	1	|	|	ADV
cana-4515	210	2	|	|	ADV
cana-4515	211	1	|	|	ADV
cana-4515	211	2	(	(	PUNCT
cana-4515	211	3	2𝑘+1)×(2𝑘+1	2𝑘+1)×(2𝑘+1	NOUN
cana-4515	211	4	)	)	PUNCT
cana-4515	211	5	𝐴	𝐴	NOUN
cana-4515	211	6	=	=	PUNCT
cana-4515	212	1	|	|	ADV
cana-4515	212	2	|	|	ADV
cana-4515	213	1	|	|	ADV
cana-4515	213	2	2	2	NUM
cana-4515	213	3	−1	−1	NOUN
cana-4515	213	4	0	0	NUM
cana-4515	214	1	⋯	⋯	NOUN
cana-4515	215	1	⋯	⋯	ADP
cana-4515	215	2	0	0	NUM
cana-4515	215	3	−1	−1	NOUN
cana-4515	215	4	0	0	PUNCT
cana-4515	216	1	⋯	⋯	NOUN
cana-4515	216	2	0	0	NUM
cana-4515	216	3	−1	−1	NOUN
cana-4515	216	4	4	4	NUM
cana-4515	216	5	⋱	⋱	SYM
cana-4515	216	6	⋱	⋱	X
cana-4515	216	7	⋱	⋱	X
cana-4515	216	8	⋮	⋮	NOUN
cana-4515	216	9	−1	−1	NOUN
cana-4515	216	10	⋱	⋱	X
cana-4515	216	11	⋱	⋱	X
cana-4515	216	12	⋮	⋮	NOUN
cana-4515	216	13	0	0	NUM
cana-4515	216	14	⋱	⋱	SYM
cana-4515	216	15	5	5	NUM
cana-4515	216	16	⋱	⋱	SYM
cana-4515	216	17	⋱	⋱	X
cana-4515	216	18	⋱	⋱	X
cana-4515	216	19	−1	−1	NOUN
cana-4515	216	20	⋱	⋱	SYM
cana-4515	216	21	⋱	⋱	X
cana-4515	216	22	0	0	NUM
cana-4515	216	23	⋮	⋮	NOUN
cana-4515	216	24	⋱	⋱	PUNCT
cana-4515	216	25	⋱	⋱	PUNCT
cana-4515	216	26	⋱	⋱	X
cana-4515	216	27	⋱	⋱	X
cana-4515	216	28	⋱	⋱	X
cana-4515	216	29	⋱	⋱	X
cana-4515	216	30	⋱	⋱	X
cana-4515	216	31	⋱	⋱	X
cana-4515	216	32	−1	−1	NOUN
cana-4515	216	33	⋮	⋮	NOUN
cana-4515	216	34	⋱	⋱	PUNCT
cana-4515	216	35	⋱	⋱	PUNCT
cana-4515	216	36	⋱	⋱	SYM
cana-4515	216	37	5	5	NUM
cana-4515	216	38	−1	−1	NOUN
cana-4515	216	39	⋱	⋱	PUNCT
cana-4515	216	40	⋱	⋱	PUNCT
cana-4515	216	41	⋱	⋱	X
cana-4515	216	42	−1	−1	NOUN
cana-4515	216	43	0	0	NUM
cana-4515	216	44	0	0	NUM
cana-4515	216	45	⋱	⋱	SYM
cana-4515	216	46	⋱	⋱	X
cana-4515	216	47	−1	−1	NOUN
cana-4515	216	48	4	4	NUM
cana-4515	216	49	0	0	NUM
cana-4515	216	50	⋱	⋱	SYM
cana-4515	216	51	⋱	⋱	X
cana-4515	216	52	−1	−1	NOUN
cana-4515	216	53	−1	−1	NOUN
cana-4515	216	54	−1	−1	NOUN
cana-4515	216	55	−1	−1	NOUN
cana-4515	216	56	⋱	⋱	PUNCT
cana-4515	216	57	⋱	⋱	SYM
cana-4515	216	58	0	0	NUM
cana-4515	216	59	4	4	NUM
cana-4515	216	60	−1	−1	NOUN
cana-4515	216	61	⋱	⋱	PUNCT
cana-4515	216	62	0	0	NUM
cana-4515	216	63	0	0	NUM
cana-4515	216	64	⋱	⋱	SYM
cana-4515	216	65	⋱	⋱	X
cana-4515	216	66	⋱	⋱	X
cana-4515	216	67	⋱	⋱	X
cana-4515	216	68	⋱	⋱	X
cana-4515	216	69	−1	−1	NOUN
cana-4515	216	70	5	5	NUM
cana-4515	216	71	⋱	⋱	PUNCT
cana-4515	216	72	⋮	⋮	NOUN
cana-4515	216	73	⋮	⋮	NOUN
cana-4515	216	74	⋱	⋱	PUNCT
cana-4515	216	75	⋱	⋱	PUNCT
cana-4515	216	76	⋱	⋱	X
cana-4515	216	77	⋱	⋱	X
cana-4515	216	78	⋱	⋱	X
cana-4515	216	79	⋱	⋱	X
cana-4515	216	80	⋱	⋱	X
cana-4515	216	81	⋱	⋱	X
cana-4515	216	82	−1	−1	NOUN
cana-4515	216	83	0	0	PUNCT
cana-4515	216	84	⋯	⋯	NOUN
cana-4515	216	85	0	0	NUM
cana-4515	216	86	−1	−1	NOUN
cana-4515	216	87	−1	−1	NOUN
cana-4515	216	88	−1	−1	NOUN
cana-4515	216	89	0	0	PUNCT
cana-4515	216	90	⋯	⋯	NOUN
cana-4515	216	91	−1	−1	NOUN
cana-4515	216	92	5	5	NUM
cana-4515	217	1	|	|	ADV
cana-4515	217	2	|	|	ADV
cana-4515	217	3	|	|	ADV
cana-4515	217	4	(	(	PUNCT
cana-4515	217	5	2𝑘+2)×(2𝑘+2	2𝑘+2)×(2𝑘+2	ADJ
cana-4515	217	6	)	)	PUNCT
cana-4515	217	7	𝐵	𝐵	NOUN
cana-4515	218	1	=	=	PUNCT
cana-4515	218	2	|	|	ADV
cana-4515	218	3	|	|	ADV
cana-4515	218	4	|	|	ADV
cana-4515	218	5	−1	−1	NOUN
cana-4515	218	6	0	0	PUNCT
cana-4515	219	1	⋯	⋯	NOUN
cana-4515	219	2	⋯	⋯	ADP
cana-4515	219	3	0	0	NUM
cana-4515	219	4	−1	−1	NOUN
cana-4515	219	5	0	0	PUNCT
cana-4515	220	1	⋯	⋯	NOUN
cana-4515	220	2	⋯	⋯	NOUN
cana-4515	220	3	0	0	NUM
cana-4515	220	4	4	4	NUM
cana-4515	220	5	⋱	⋱	SYM
cana-4515	220	6	⋱	⋱	X
cana-4515	220	7	⋱	⋱	X
cana-4515	220	8	⋮	⋮	NOUN
cana-4515	220	9	−1	−1	NOUN
cana-4515	220	10	⋱	⋱	SYM
cana-4515	220	11	⋱	⋱	X
cana-4515	220	12	⋱	⋱	X
cana-4515	220	13	⋮	⋮	NOUN
cana-4515	220	14	−1	−1	NOUN
cana-4515	220	15	5	5	NUM
cana-4515	220	16	⋱	⋱	PUNCT
cana-4515	220	17	⋱	⋱	X
cana-4515	220	18	⋱	⋱	X
cana-4515	220	19	−1	−1	NOUN
cana-4515	220	20	⋱	⋱	SYM
cana-4515	220	21	⋱	⋱	X
cana-4515	220	22	⋱	⋱	X
cana-4515	220	23	⋮	⋮	NOUN
cana-4515	220	24	0	0	NUM
cana-4515	220	25	⋱	⋱	SYM
cana-4515	220	26	⋱	⋱	X
cana-4515	220	27	⋱	⋱	X
cana-4515	220	28	⋱	⋱	X
cana-4515	220	29	⋱	⋱	X
cana-4515	220	30	⋱	⋱	X
cana-4515	220	31	⋱	⋱	X
cana-4515	220	32	⋱	⋱	X
cana-4515	220	33	0	0	NUM
cana-4515	220	34	⋮	⋮	NOUN
cana-4515	220	35	⋱	⋱	PUNCT
cana-4515	220	36	⋱	⋱	SYM
cana-4515	220	37	5	5	NUM
cana-4515	220	38	−1	−1	NOUN
cana-4515	220	39	⋱	⋱	PUNCT
cana-4515	220	40	⋱	⋱	PUNCT
cana-4515	220	41	⋱	⋱	X
cana-4515	220	42	⋱	⋱	X
cana-4515	220	43	−1	−1	NOUN
cana-4515	220	44	0	0	PUNCT
cana-4515	220	45	⋱	⋱	SYM
cana-4515	220	46	⋱	⋱	X
cana-4515	220	47	−1	−1	NOUN
cana-4515	220	48	4	4	NUM
cana-4515	220	49	0	0	NUM
cana-4515	220	50	⋱	⋱	SYM
cana-4515	220	51	⋱	⋱	X
cana-4515	220	52	−1	−1	NOUN
cana-4515	220	53	−1	−1	NOUN
cana-4515	220	54	−1	−1	NOUN
cana-4515	220	55	−1	−1	NOUN
cana-4515	220	56	⋱	⋱	PUNCT
cana-4515	220	57	⋱	⋱	SYM
cana-4515	220	58	0	0	NUM
cana-4515	220	59	4	4	NUM
cana-4515	220	60	−1	−1	NOUN
cana-4515	220	61	⋱	⋱	PUNCT
cana-4515	220	62	⋱	⋱	PUNCT
cana-4515	220	63	0	0	NUM
cana-4515	220	64	−1	−1	NOUN
cana-4515	220	65	⋱	⋱	PUNCT
cana-4515	220	66	⋱	⋱	PUNCT
cana-4515	220	67	⋱	⋱	X
cana-4515	220	68	⋱	⋱	X
cana-4515	220	69	−1	−1	NOUN
cana-4515	220	70	5	5	NUM
cana-4515	220	71	⋱	⋱	SYM
cana-4515	220	72	⋱	⋱	X
cana-4515	220	73	⋮	⋮	NOUN
cana-4515	220	74	0	0	NUM
cana-4515	220	75	⋱	⋱	SYM
cana-4515	220	76	⋱	⋱	X
cana-4515	220	77	⋱	⋱	X
cana-4515	220	78	⋱	⋱	X
cana-4515	220	79	⋱	⋱	X
cana-4515	220	80	⋱	⋱	X
cana-4515	220	81	⋱	⋱	X
cana-4515	220	82	⋱	⋱	X
cana-4515	220	83	0	0	NUM
cana-4515	220	84	⋮	⋮	NOUN
cana-4515	220	85	⋯	⋯	ADP
cana-4515	220	86	−1	−1	NOUN
cana-4515	220	87	−1	−1	NOUN
cana-4515	220	88	−1	−1	NOUN
cana-4515	220	89	0	0	PUNCT
cana-4515	221	1	⋯	⋯	NOUN
cana-4515	221	2	−1	−1	NOUN
cana-4515	221	3	5	5	NUM
cana-4515	221	4	−1	−1	NOUN
cana-4515	222	1	|	|	ADV
cana-4515	222	2	|	|	ADV
cana-4515	222	3	|	|	ADV
cana-4515	222	4	,	,	PUNCT
cana-4515	222	5	communications	communication	NOUN
cana-4515	222	6	on	on	ADP
cana-4515	222	7	applied	apply	VERB
cana-4515	222	8	nonlinear	nonlinear	ADJ
cana-4515	222	9	analysis	analysis	NOUN
cana-4515	222	10	issn	issn	NOUN
cana-4515	222	11	:	:	PUNCT
cana-4515	222	12	1074	1074	NUM
cana-4515	222	13	-	-	PUNCT
cana-4515	222	14	133x	133x	NUM
cana-4515	222	15	vol	vol	NOUN
cana-4515	222	16	32	32	NUM
cana-4515	222	17	no	no	NOUN
cana-4515	222	18	.	.	PUNCT
cana-4515	223	1	9s	9s	NUM
cana-4515	223	2	(	(	PUNCT
cana-4515	223	3	2025	2025	NUM
cana-4515	223	4	)	)	PUNCT
cana-4515	223	5	2297	2297	NUM
cana-4515	223	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4515	224	1	𝐵𝑇	𝐵𝑇	NOUN
cana-4515	224	2	=	=	PUNCT
cana-4515	225	1	|	|	ADV
cana-4515	225	2	|	|	ADV
cana-4515	225	3	|	|	ADV
cana-4515	225	4	−1	−1	NOUN
cana-4515	226	1	4	4	NUM
cana-4515	226	2	−1	−1	NOUN
cana-4515	226	3	0	0	PUNCT
cana-4515	226	4	⋯	⋯	NOUN
cana-4515	226	5	0	0	NUM
cana-4515	226	6	−1	−1	NOUN
cana-4515	226	7	−1	−1	NOUN
cana-4515	226	8	0	0	PROPN
cana-4515	227	1	⋯	⋯	NOUN
cana-4515	227	2	0	0	NUM
cana-4515	227	3	⋱	⋱	SYM
cana-4515	227	4	5	5	NUM
cana-4515	227	5	⋱	⋱	SYM
cana-4515	227	6	⋱	⋱	X
cana-4515	227	7	⋮	⋮	NOUN
cana-4515	227	8	−1	−1	NOUN
cana-4515	227	9	⋱	⋱	SYM
cana-4515	227	10	⋱	⋱	X
cana-4515	227	11	⋱	⋱	X
cana-4515	227	12	⋮	⋮	NOUN
cana-4515	227	13	⋱	⋱	PUNCT
cana-4515	227	14	⋱	⋱	PUNCT
cana-4515	227	15	⋱	⋱	X
cana-4515	227	16	⋱	⋱	X
cana-4515	227	17	⋱	⋱	X
cana-4515	227	18	⋱	⋱	X
cana-4515	227	19	⋱	⋱	X
cana-4515	227	20	⋱	⋱	X
cana-4515	227	21	−1	−1	NOUN
cana-4515	227	22	⋮	⋮	NOUN
cana-4515	227	23	⋱	⋱	PUNCT
cana-4515	227	24	⋱	⋱	PUNCT
cana-4515	227	25	⋱	⋱	SYM
cana-4515	227	26	5	5	NUM
cana-4515	227	27	−1	−1	NOUN
cana-4515	227	28	⋱	⋱	PUNCT
cana-4515	227	29	⋱	⋱	PUNCT
cana-4515	227	30	⋱	⋱	X
cana-4515	227	31	−1	−1	NOUN
cana-4515	227	32	0	0	PUNCT
cana-4515	227	33	⋯	⋯	NOUN
cana-4515	227	34	⋱	⋱	X
cana-4515	227	35	⋱	⋱	X
cana-4515	227	36	−1	−1	NOUN
cana-4515	227	37	4	4	NUM
cana-4515	227	38	0	0	NUM
cana-4515	227	39	⋱	⋱	SYM
cana-4515	227	40	⋱	⋱	X
cana-4515	227	41	−1	−1	NOUN
cana-4515	227	42	−1	−1	NOUN
cana-4515	227	43	−1	−1	NOUN
cana-4515	227	44	−1	−1	NOUN
cana-4515	227	45	⋱	⋱	PUNCT
cana-4515	227	46	⋱	⋱	SYM
cana-4515	227	47	0	0	NUM
cana-4515	227	48	4	4	NUM
cana-4515	227	49	−1	−1	NOUN
cana-4515	227	50	⋱	⋱	PUNCT
cana-4515	227	51	0	0	NUM
cana-4515	227	52	0	0	NUM
cana-4515	227	53	⋱	⋱	SYM
cana-4515	227	54	⋱	⋱	X
cana-4515	227	55	⋱	⋱	X
cana-4515	227	56	⋱	⋱	X
cana-4515	227	57	⋱	⋱	X
cana-4515	227	58	−1	−1	NOUN
cana-4515	227	59	5	5	NUM
cana-4515	227	60	⋱	⋱	PUNCT
cana-4515	227	61	⋮	⋮	NOUN
cana-4515	227	62	⋮	⋮	NOUN
cana-4515	227	63	⋱	⋱	PUNCT
cana-4515	227	64	⋱	⋱	PUNCT
cana-4515	227	65	⋱	⋱	X
cana-4515	227	66	⋱	⋱	X
cana-4515	227	67	⋱	⋱	X
cana-4515	227	68	⋱	⋱	X
cana-4515	227	69	⋱	⋱	X
cana-4515	227	70	⋱	⋱	X
cana-4515	227	71	−1	−1	NOUN
cana-4515	227	72	⋮	⋮	NOUN
cana-4515	227	73	⋱	⋱	PUNCT
cana-4515	227	74	⋱	⋱	PUNCT
cana-4515	227	75	⋱	⋱	X
cana-4515	227	76	⋱	⋱	X
cana-4515	227	77	−1	−1	NOUN
cana-4515	227	78	⋱	⋱	SYM
cana-4515	227	79	⋱	⋱	X
cana-4515	227	80	⋱	⋱	SYM
cana-4515	227	81	5	5	X
cana-4515	227	82	0	0	NUM
cana-4515	227	83	⋯	⋯	NOUN
cana-4515	227	84	⋯	⋯	PROPN
cana-4515	227	85	0	0	NUM
cana-4515	227	86	−1	−1	NOUN
cana-4515	227	87	−1	−1	NOUN
cana-4515	227	88	0	0	PROPN
cana-4515	227	89	⋯	⋯	NOUN
cana-4515	227	90	0	0	NUM
cana-4515	227	91	−1	−1	NOUN
cana-4515	228	1	|	|	ADV
cana-4515	228	2	|	|	ADV
cana-4515	229	1	|	|	INTJ
cana-4515	229	2	(	(	PUNCT
cana-4515	229	3	2𝑘+2)∗(2𝑘+2	2𝑘+2)∗(2𝑘+2	NUM
cana-4515	229	4	)	)	PUNCT
cana-4515	229	5	𝐶	𝐶	NOUN
cana-4515	229	6	=	=	PUNCT
cana-4515	230	1	|	|	ADV
cana-4515	230	2	|	|	ADV
cana-4515	230	3	|	|	ADV
cana-4515	230	4	4	4	NUM
cana-4515	230	5	−1	−1	NOUN
cana-4515	230	6	0	0	PUNCT
cana-4515	231	1	⋯	⋯	NOUN
cana-4515	231	2	0	0	NUM
cana-4515	231	3	−1	−1	NOUN
cana-4515	231	4	−1	−1	NOUN
cana-4515	231	5	0	0	PROPN
cana-4515	232	1	⋯	⋯	NOUN
cana-4515	232	2	0	0	NUM
cana-4515	232	3	−1	−1	NOUN
cana-4515	232	4	5	5	NUM
cana-4515	232	5	⋱	⋱	PUNCT
cana-4515	232	6	⋱	⋱	X
cana-4515	232	7	⋱	⋱	X
cana-4515	232	8	−1	−1	NOUN
cana-4515	232	9	⋱	⋱	SYM
cana-4515	232	10	⋱	⋱	X
cana-4515	232	11	⋱	⋱	X
cana-4515	232	12	⋮	⋮	NOUN
cana-4515	232	13	0	0	NUM
cana-4515	232	14	⋱	⋱	SYM
cana-4515	232	15	⋱	⋱	X
cana-4515	232	16	⋱	⋱	X
cana-4515	232	17	⋱	⋱	X
cana-4515	232	18	⋱	⋱	X
cana-4515	232	19	⋱	⋱	X
cana-4515	232	20	⋱	⋱	X
cana-4515	232	21	⋱	⋱	X
cana-4515	232	22	0	0	NUM
cana-4515	232	23	⋮	⋮	NOUN
cana-4515	232	24	⋱	⋱	PUNCT
cana-4515	232	25	⋱	⋱	SYM
cana-4515	232	26	5	5	NUM
cana-4515	232	27	−1	−1	NOUN
cana-4515	232	28	⋱	⋱	PUNCT
cana-4515	232	29	⋱	⋱	PUNCT
cana-4515	232	30	⋱	⋱	X
cana-4515	232	31	⋱	⋱	X
cana-4515	232	32	−1	−1	NOUN
cana-4515	232	33	0	0	PUNCT
cana-4515	232	34	⋱	⋱	SYM
cana-4515	232	35	⋱	⋱	X
cana-4515	232	36	−1	−1	NOUN
cana-4515	232	37	4	4	NUM
cana-4515	232	38	0	0	NUM
cana-4515	232	39	⋱	⋱	SYM
cana-4515	232	40	⋱	⋱	X
cana-4515	232	41	−1	−1	NOUN
cana-4515	232	42	−1	−1	NOUN
cana-4515	232	43	−1	−1	NOUN
cana-4515	232	44	−1	−1	NOUN
cana-4515	232	45	⋱	⋱	PUNCT
cana-4515	232	46	⋱	⋱	SYM
cana-4515	232	47	0	0	NUM
cana-4515	232	48	4	4	NUM
cana-4515	232	49	−1	−1	NOUN
cana-4515	232	50	⋱	⋱	PUNCT
cana-4515	232	51	⋱	⋱	PUNCT
cana-4515	232	52	0	0	NUM
cana-4515	232	53	−1	−1	NOUN
cana-4515	232	54	⋱	⋱	PUNCT
cana-4515	232	55	⋱	⋱	PUNCT
cana-4515	232	56	⋱	⋱	X
cana-4515	232	57	⋱	⋱	X
cana-4515	232	58	−1	−1	NOUN
cana-4515	232	59	5	5	NUM
cana-4515	232	60	⋱	⋱	SYM
cana-4515	232	61	⋱	⋱	X
cana-4515	232	62	⋮	⋮	NOUN
cana-4515	232	63	0	0	NUM
cana-4515	232	64	⋱	⋱	SYM
cana-4515	232	65	⋱	⋱	X
cana-4515	232	66	⋱	⋱	X
cana-4515	232	67	⋱	⋱	X
cana-4515	232	68	⋱	⋱	X
cana-4515	232	69	⋱	⋱	X
cana-4515	232	70	⋱	⋱	X
cana-4515	232	71	⋱	⋱	X
cana-4515	232	72	0	0	NUM
cana-4515	232	73	⋮	⋮	NOUN
cana-4515	232	74	⋱	⋱	PUNCT
cana-4515	232	75	⋱	⋱	PUNCT
cana-4515	232	76	⋱	⋱	X
cana-4515	232	77	−1	−1	NOUN
cana-4515	232	78	⋱	⋱	SYM
cana-4515	232	79	⋱	⋱	PUNCT
cana-4515	232	80	⋱	⋱	SYM
cana-4515	232	81	5	5	NUM
cana-4515	232	82	−1	−1	NOUN
cana-4515	232	83	0	0	PUNCT
cana-4515	232	84	⋯	⋯	NOUN
cana-4515	232	85	0	0	NUM
cana-4515	232	86	−1	−1	NOUN
cana-4515	232	87	−1	−1	NOUN
cana-4515	232	88	0	0	PROPN
cana-4515	232	89	⋯	⋯	NOUN
cana-4515	232	90	0	0	NUM
cana-4515	232	91	−1	−1	NOUN
cana-4515	232	92	4	4	NUM
cana-4515	233	1	|	|	ADV
cana-4515	233	2	|	|	ADV
cana-4515	234	1	|	|	ADV
cana-4515	234	2	(	(	PUNCT
cana-4515	234	3	2𝑘+2)∗(2𝑘+2	2𝑘+2)∗(2𝑘+2	NUM
cana-4515	234	4	)	)	PUNCT
cana-4515	234	5	theorem	theorem	VERB
cana-4515	234	6	2.3	2.3	NUM
cana-4515	234	7	.	.	PUNCT
cana-4515	235	1	let	let	VERB
cana-4515	235	2	𝑇(𝑃𝑛	𝑇(𝑃𝑛	PROPN
cana-4515	235	3	𝑛−2	𝑛−2	PROPN
cana-4515	235	4	)	)	PUNCT
cana-4515	235	5	be	be	VERB
cana-4515	235	6	a	a	DET
cana-4515	235	7	trapezoidal	trapezoidal	ADJ
cana-4515	235	8	graph	graph	NOUN
cana-4515	235	9	of	of	ADP
cana-4515	235	10	2n	2n	NUM
cana-4515	235	11	−	−	ADP
cana-4515	235	12	2	2	NUM
cana-4515	235	13	vertices	vertex	NOUN
cana-4515	235	14	with	with	ADP
cana-4515	235	15	triangulations	triangulation	NOUN
cana-4515	235	16	𝜏(𝑇(𝑃𝑛	𝜏(𝑇(𝑃𝑛	PROPN
cana-4515	235	17	𝑛−2	𝑛−2	NOUN
cana-4515	235	18	)	)	PUNCT
cana-4515	235	19	)	)	PUNCT
cana-4515	236	1	=	=	SYM
cana-4515	236	2	𝜏	𝜏	X
cana-4515	236	3	(	(	PUNCT
cana-4515	236	4	)	)	PUNCT
cana-4515	236	5	such	such	ADJ
cana-4515	236	6	that	that	SCONJ
cana-4515	236	7	𝜏(𝑇(𝑃𝑛	𝜏(𝑇(𝑃𝑛	PROPN
cana-4515	236	8	𝑛−2	𝑛−2	PROPN
cana-4515	236	9	)	)	PUNCT
cana-4515	236	10	)	)	PUNCT
cana-4515	237	1	=	=	SYM
cana-4515	237	2	9	9	NUM
cana-4515	237	3	×	×	PROPN
cana-4515	237	4	23𝑘+2	23𝑘+2	PROPN
cana-4515	237	5	,	,	PUNCT
cana-4515	237	6	k	k	PROPN
cana-4515	237	7	≥	≥	NUM
cana-4515	237	8	1	1	NUM
cana-4515	237	9	,	,	PUNCT
cana-4515	237	10	where	where	SCONJ
cana-4515	237	11	k	k	PROPN
cana-4515	237	12	is	be	AUX
cana-4515	237	13	the	the	DET
cana-4515	237	14	number	number	NOUN
cana-4515	237	15	of	of	ADP
cana-4515	237	16	blocks	block	NOUN
cana-4515	237	17	.	.	PUNCT
cana-4515	238	1	proof	proof	NOUN
cana-4515	238	2	.	.	PUNCT
cana-4515	239	1	by	by	ADP
cana-4515	239	2	applying	apply	VERB
cana-4515	239	3	eq	eq	ADP
cana-4515	239	4	.	.	PUNCT
cana-4515	240	1	(	(	PUNCT
cana-4515	240	2	1	1	NUM
cana-4515	240	3	)	)	PUNCT
cana-4515	240	4	,	,	PUNCT
cana-4515	240	5	we	we	PRON
cana-4515	240	6	can	can	AUX
cana-4515	240	7	perform	perform	VERB
cana-4515	240	8	the	the	DET
cana-4515	240	9	following	follow	VERB
cana-4515	240	10	steps	step	NOUN
cana-4515	240	11	:	:	PUNCT
cana-4515	240	12	by	by	ADP
cana-4515	240	13	mathematical	mathematical	ADJ
cana-4515	240	14	induction	induction	NOUN
cana-4515	240	15	,	,	PUNCT
cana-4515	240	16	we	we	PRON
cana-4515	240	17	prove	prove	VERB
cana-4515	240	18	this	this	DET
cana-4515	240	19	statement	statement	NOUN
cana-4515	240	20	at	at	ADP
cana-4515	240	21	m	m	PROPN
cana-4515	240	22	=	=	NOUN
cana-4515	240	23	1	1	NUM
cana-4515	240	24	,	,	PUNCT
cana-4515	240	25	i.e.	i.e.	X
cana-4515	240	26	𝜏(𝐺	𝜏(𝐺	NOUN
cana-4515	240	27	)	)	PUNCT
cana-4515	240	28	is	be	AUX
cana-4515	240	29	a	a	DET
cana-4515	240	30	2×2	2×2	NUM
cana-4515	240	31	matrix	matrix	NOUN
cana-4515	240	32	with	with	ADP
cana-4515	240	33	both	both	DET
cana-4515	240	34	rows	row	VERB
cana-4515	240	35	the	the	DET
cana-4515	240	36	same	same	ADJ
cana-4515	240	37	:	:	PUNCT
cana-4515	240	38	𝜏(𝑇(𝑃𝑛	𝜏(𝑇(𝑃𝑛	PROPN
cana-4515	240	39	𝑛−2	𝑛−2	PROPN
cana-4515	240	40	)	)	PUNCT
cana-4515	240	41	)	)	PUNCT
cana-4515	241	1	=	=	SYM
cana-4515	241	2	1	1	NUM
cana-4515	241	3	216	216	NUM
cana-4515	241	4	[	[	PUNCT
cana-4515	241	5	192	192	NUM
cana-4515	241	6	144	144	NUM
cana-4515	241	7	144	144	NUM
cana-4515	241	8	432	432	NUM
cana-4515	241	9	]	]	PUNCT
cana-4515	241	10	=	=	SYM
cana-4515	242	1	288	288	NUM
cana-4515	242	2	.	.	PUNCT
cana-4515	243	1	we	we	PRON
cana-4515	243	2	try	try	VERB
cana-4515	243	3	to	to	PART
cana-4515	243	4	prove	prove	VERB
cana-4515	243	5	the	the	DET
cana-4515	243	6	statement	statement	NOUN
cana-4515	243	7	at	at	ADP
cana-4515	243	8	𝑚	𝑚	X
cana-4515	243	9	=	=	SYM
cana-4515	243	10	𝑘	𝑘	PROPN
cana-4515	243	11	+	+	ADJ
cana-4515	243	12	1	1	NUM
cana-4515	243	13	;	;	PUNCT
cana-4515	243	14	that	that	PRON
cana-4515	243	15	is	be	AUX
cana-4515	243	16	straightforward	straightforward	ADJ
cana-4515	243	17	induction	induction	NOUN
cana-4515	243	18	using	use	VERB
cana-4515	243	19	properties	property	NOUN
cana-4515	243	20	of	of	ADP
cana-4515	243	21	determinants	determinant	NOUN
cana-4515	243	22	and	and	CCONJ
cana-4515	243	23	dodgson	dodgson	PROPN
cana-4515	243	24	and	and	CCONJ
cana-4515	243	25	chio	chio	PROPN
cana-4515	243	26	method	method	NOUN
cana-4515	243	27	and	and	CCONJ
cana-4515	243	28	applying	apply	VERB
cana-4515	243	29	eq	eq	ADP
cana-4515	243	30	.	.	PUNCT
cana-4515	244	1	(	(	PUNCT
cana-4515	244	2	2	2	NUM
cana-4515	244	3	)	)	PUNCT
cana-4515	244	4	,	,	PUNCT
cana-4515	244	5	we	we	PRON
cana-4515	244	6	have	have	VERB
cana-4515	244	7	:	:	PUNCT
cana-4515	244	8	communications	communication	NOUN
cana-4515	244	9	on	on	ADP
cana-4515	244	10	applied	apply	VERB
cana-4515	244	11	nonlinear	nonlinear	ADJ
cana-4515	244	12	analysis	analysis	NOUN
cana-4515	244	13	issn	issn	NOUN
cana-4515	244	14	:	:	PUNCT
cana-4515	244	15	1074	1074	NUM
cana-4515	244	16	-	-	PUNCT
cana-4515	244	17	133x	133x	NUM
cana-4515	244	18	vol	vol	NOUN
cana-4515	244	19	32	32	NUM
cana-4515	245	1	no	no	NOUN
cana-4515	245	2	.	.	PUNCT
cana-4515	246	1	9s	9s	NUM
cana-4515	246	2	(	(	PUNCT
cana-4515	246	3	2025	2025	NUM
cana-4515	246	4	)	)	PUNCT
cana-4515	246	5	2298	2298	NUM
cana-4515	246	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4515	246	7	𝜏(𝑇(𝑃𝑛	𝜏(𝑇(𝑃𝑛	PROPN
cana-4515	246	8	𝑛−2	𝑛−2	PROPN
cana-4515	246	9	)	)	PUNCT
cana-4515	246	10	)	)	PUNCT
cana-4515	247	1	=	=	PUNCT
cana-4515	248	1	|	|	ADV
cana-4515	248	2	|	|	ADV
cana-4515	248	3	|	|	ADV
cana-4515	248	4	2	2	NUM
cana-4515	248	5	−1	−1	NOUN
cana-4515	248	6	0	0	NUM
cana-4515	249	1	⋯	⋯	NOUN
cana-4515	250	1	⋯	⋯	ADP
cana-4515	250	2	0	0	NUM
cana-4515	250	3	−1	−1	NOUN
cana-4515	250	4	0	0	PUNCT
cana-4515	251	1	⋯	⋯	NOUN
cana-4515	251	2	⋯	⋯	PROPN
cana-4515	251	3	0	0	NUM
cana-4515	251	4	−1	−1	NOUN
cana-4515	251	5	3	3	NUM
cana-4515	251	6	⋱	⋱	SYM
cana-4515	251	7	⋱	⋱	X
cana-4515	252	1	⋯	⋯	X
cana-4515	252	2	⋯	⋯	NOUN
cana-4515	252	3	⋱	⋱	PUNCT
cana-4515	252	4	⋱	⋱	X
cana-4515	252	5	⋱	⋱	X
cana-4515	252	6	⋯	⋯	X
cana-4515	252	7	⋮	⋮	NOUN
cana-4515	252	8	0	0	NUM
cana-4515	252	9	⋱	⋱	SYM
cana-4515	252	10	4	4	NUM
cana-4515	252	11	⋱	⋱	SYM
cana-4515	252	12	⋱	⋱	X
cana-4515	252	13	⋯	⋯	X
cana-4515	252	14	−1	−1	NOUN
cana-4515	252	15	⋱	⋱	PUNCT
cana-4515	252	16	⋱	⋱	X
cana-4515	252	17	⋱	⋱	X
cana-4515	252	18	⋮	⋮	ADJ
cana-4515	252	19	⋮	⋮	NOUN
cana-4515	252	20	⋱	⋱	PUNCT
cana-4515	252	21	⋱	⋱	PUNCT
cana-4515	252	22	⋱	⋱	X
cana-4515	252	23	⋱	⋱	X
cana-4515	252	24	⋱	⋱	X
cana-4515	252	25	⋱	⋱	X
cana-4515	252	26	⋱	⋱	X
cana-4515	252	27	⋱	⋱	X
cana-4515	252	28	⋱	⋱	X
cana-4515	252	29	0	0	NUM
cana-4515	252	30	⋮	⋮	ADJ
cana-4515	252	31	⋮	⋮	NOUN
cana-4515	252	32	⋱	⋱	PUNCT
cana-4515	252	33	⋱	⋱	SYM
cana-4515	252	34	4	4	NUM
cana-4515	252	35	−1	−1	NOUN
cana-4515	252	36	⋱	⋱	PUNCT
cana-4515	252	37	⋱	⋱	PUNCT
cana-4515	252	38	⋱	⋱	X
cana-4515	252	39	⋱	⋱	X
cana-4515	252	40	−1	−1	NOUN
cana-4515	252	41	0	0	NUM
cana-4515	252	42	⋮	⋮	NOUN
cana-4515	252	43	⋮	⋮	NOUN
cana-4515	252	44	⋱	⋱	PUNCT
cana-4515	252	45	−1	−1	NOUN
cana-4515	252	46	3	3	NUM
cana-4515	252	47	0	0	NUM
cana-4515	252	48	⋱	⋱	SYM
cana-4515	252	49	⋱	⋱	X
cana-4515	252	50	−1	−1	NOUN
cana-4515	252	51	0	0	NUM
cana-4515	252	52	−1	−1	NOUN
cana-4515	252	53	⋱	⋱	SYM
cana-4515	252	54	−1	−1	NOUN
cana-4515	252	55	⋱	⋱	PUNCT
cana-4515	252	56	⋱	⋱	SYM
cana-4515	252	57	0	0	NUM
cana-4515	252	58	3	3	NUM
cana-4515	252	59	−1	−1	NOUN
cana-4515	252	60	⋱	⋱	X
cana-4515	252	61	⋱	⋱	X
cana-4515	252	62	⋮	⋮	NOUN
cana-4515	252	63	0	0	NUM
cana-4515	252	64	⋱	⋱	SYM
cana-4515	252	65	⋱	⋱	X
cana-4515	252	66	⋱	⋱	X
cana-4515	252	67	⋱	⋱	X
cana-4515	252	68	⋱	⋱	X
cana-4515	252	69	−1	−1	NOUN
cana-4515	252	70	4	4	NUM
cana-4515	252	71	⋱	⋱	SYM
cana-4515	252	72	⋱	⋱	X
cana-4515	252	73	⋱	⋱	X
cana-4515	252	74	⋮	⋮	NOUN
cana-4515	252	75	⋱	⋱	PUNCT
cana-4515	252	76	⋱	⋱	PUNCT
cana-4515	252	77	⋱	⋱	X
cana-4515	252	78	⋱	⋱	X
cana-4515	252	79	⋱	⋱	X
cana-4515	252	80	⋱	⋱	X
cana-4515	252	81	⋱	⋱	X
cana-4515	252	82	⋱	⋱	X
cana-4515	252	83	⋱	⋱	X
cana-4515	252	84	0	0	NUM
cana-4515	252	85	⋮	⋮	NOUN
cana-4515	252	86	⋯	⋯	X
cana-4515	252	87	⋱	⋱	PUNCT
cana-4515	252	88	⋱	⋱	X
cana-4515	252	89	⋱	⋱	X
cana-4515	252	90	−1	−1	NOUN
cana-4515	252	91	⋱	⋱	SYM
cana-4515	252	92	⋱	⋱	X
cana-4515	252	93	⋱	⋱	SYM
cana-4515	252	94	4	4	NUM
cana-4515	252	95	−1	−1	NOUN
cana-4515	252	96	0	0	PUNCT
cana-4515	252	97	⋯	⋯	NOUN
cana-4515	252	98	⋯	⋯	ADP
cana-4515	252	99	0	0	NUM
cana-4515	252	100	−1	−1	NOUN
cana-4515	252	101	0	0	PUNCT
cana-4515	253	1	⋯	⋯	NOUN
cana-4515	253	2	⋯	⋯	PROPN
cana-4515	253	3	0	0	NUM
cana-4515	253	4	−1	−1	NOUN
cana-4515	253	5	3	3	NUM
cana-4515	254	1	|	|	ADV
cana-4515	254	2	|	|	ADV
cana-4515	255	1	|	|	ADV
cana-4515	255	2	(	(	PUNCT
cana-4515	255	3	2𝑘+5)×(2𝑘+5	2𝑘+5)×(2𝑘+5	NOUN
cana-4515	255	4	)	)	PUNCT
cana-4515	255	5	consequently	consequently	ADV
cana-4515	255	6	,	,	PUNCT
cana-4515	255	7	we	we	PRON
cana-4515	255	8	can	can	AUX
cana-4515	255	9	have	have	VERB
cana-4515	255	10	𝜏(𝑇(𝑃𝑛	𝜏(𝑇(𝑃𝑛	PROPN
cana-4515	255	11	𝑛−2	𝑛−2	NOUN
cana-4515	255	12	)	)	PUNCT
cana-4515	255	13	)	)	PUNCT
cana-4515	256	1	=	=	SYM
cana-4515	256	2	1	1	NUM
cana-4515	256	3	(	(	PUNCT
cana-4515	256	4	8𝑘	8𝑘	NUM
cana-4515	256	5	×	×	NOUN
cana-4515	256	6	(	(	PUNCT
cana-4515	256	7	27	27	NUM
cana-4515	256	8	+	+	NUM
cana-4515	256	9	6	6	NUM
cana-4515	256	10	(	(	PUNCT
cana-4515	256	11	𝑘	𝑘	PRON
cana-4515	256	12	−	−	NOUN
cana-4515	256	13	1	1	NUM
cana-4515	256	14	)	)	PUNCT
cana-4515	256	15	)	)	PUNCT
cana-4515	256	16	)	)	PUNCT
cana-4515	257	1	|	|	ADV
cana-4515	257	2	3	3	NUM
cana-4515	257	3	×	×	NOUN
cana-4515	257	4	8𝑘+1	8𝑘+1	NUM
cana-4515	257	5	18	18	NUM
cana-4515	257	6	×	×	NOUN
cana-4515	257	7	8𝑘	8𝑘	NUM
cana-4515	257	8	18	18	NUM
cana-4515	257	9	×	×	NOUN
cana-4515	257	10	8𝑘	8𝑘	NUM
cana-4515	257	11	8𝑘	8𝑘	NUM
cana-4515	257	12	×	×	NOUN
cana-4515	257	13	(	(	PUNCT
cana-4515	257	14	54	54	NUM
cana-4515	257	15	+	+	SYM
cana-4515	257	16	9	9	NUM
cana-4515	257	17	(	(	PUNCT
cana-4515	257	18	𝑘	𝑘	PRON
cana-4515	257	19	−	−	PROPN
cana-4515	257	20	1	1	NUM
cana-4515	257	21	)	)	PUNCT
cana-4515	257	22	)	)	PUNCT
cana-4515	257	23	|	|	ADV
cana-4515	257	24	=	=	SYM
cana-4515	257	25	9	9	NUM
cana-4515	257	26	×	×	PROPN
cana-4515	257	27	23𝑘+2	23𝑘+2	NUM
cana-4515	257	28	,	,	PUNCT
cana-4515	257	29	where	where	SCONJ
cana-4515	257	30	k	k	PROPN
cana-4515	257	31	is	be	AUX
cana-4515	257	32	the	the	DET
cana-4515	257	33	number	number	NOUN
cana-4515	257	34	of	of	ADP
cana-4515	257	35	blocks	block	NOUN
cana-4515	257	36	−𝜏(𝐺	−𝜏(𝐺	NOUN
cana-4515	257	37	)	)	PUNCT
cana-4515	257	38	=	=	SYM
cana-4515	257	39	1	1	NUM
cana-4515	257	40	𝑆	𝑆	PROPN
cana-4515	257	41	|	|	NOUN
cana-4515	257	42	𝐴	𝐴	PROPN
cana-4515	257	43	𝐵	𝐵	PROPN
cana-4515	257	44	𝐵𝑇	𝐵𝑇	PROPN
cana-4515	257	45	𝐶	𝐶	PROPN
cana-4515	257	46	|	|	NOUN
cana-4515	257	47	.	.	PUNCT
cana-4515	258	1	as	as	ADP
cana-4515	258	2	a	a	DET
cana-4515	258	3	result	result	NOUN
cana-4515	258	4	,	,	PUNCT
cana-4515	258	5	we	we	PRON
cana-4515	258	6	get	get	VERB
cana-4515	258	7	𝜏(𝐺	𝜏(𝐺	NOUN
cana-4515	258	8	)	)	PUNCT
cana-4515	258	9	=	=	SYM
cana-4515	259	1	1	1	NUM
cana-4515	260	1	|	|	ADV
cana-4515	260	2	|	|	ADV
cana-4515	260	3	|	|	ADV
cana-4515	260	4	3	3	NUM
cana-4515	260	5	−1	−1	NOUN
cana-4515	260	6	0	0	PUNCT
cana-4515	261	1	⋯	⋯	NOUN
cana-4515	261	2	⋯	⋯	ADP
cana-4515	261	3	0	0	NUM
cana-4515	261	4	−1	−1	NOUN
cana-4515	261	5	0	0	PUNCT
cana-4515	262	1	⋯	⋯	NOUN
cana-4515	262	2	−1	−1	NOUN
cana-4515	262	3	4	4	NUM
cana-4515	262	4	⋱	⋱	SYM
cana-4515	262	5	⋱	⋱	X
cana-4515	262	6	⋱	⋱	X
cana-4515	262	7	−1	−1	NOUN
cana-4515	262	8	⋱	⋱	X
cana-4515	262	9	⋱	⋱	X
cana-4515	262	10	⋮	⋮	NOUN
cana-4515	262	11	0	0	NUM
cana-4515	262	12	⋱	⋱	SYM
cana-4515	262	13	⋱	⋱	X
cana-4515	262	14	⋱	⋱	X
cana-4515	262	15	⋱	⋱	X
cana-4515	262	16	⋱	⋱	X
cana-4515	262	17	⋱	⋱	X
cana-4515	262	18	⋱	⋱	X
cana-4515	262	19	−1	−1	NOUN
cana-4515	262	20	⋮	⋮	NOUN
cana-4515	262	21	⋱	⋱	PUNCT
cana-4515	262	22	⋱	⋱	SYM
cana-4515	262	23	4	4	NUM
cana-4515	262	24	−1	−1	NOUN
cana-4515	262	25	⋱	⋱	PUNCT
cana-4515	262	26	⋱	⋱	PUNCT
cana-4515	262	27	⋱	⋱	X
cana-4515	262	28	0	0	NUM
cana-4515	262	29	⋮	⋮	NOUN
cana-4515	262	30	⋱	⋱	PUNCT
cana-4515	262	31	⋱	⋱	X
cana-4515	262	32	−1	−1	NOUN
cana-4515	262	33	3	3	NUM
cana-4515	262	34	0	0	NUM
cana-4515	262	35	⋱	⋱	SYM
cana-4515	262	36	⋱	⋱	X
cana-4515	262	37	−1	−1	NOUN
cana-4515	262	38	0	0	NUM
cana-4515	262	39	−1	−1	NOUN
cana-4515	262	40	⋱	⋱	PUNCT
cana-4515	262	41	⋱	⋱	SYM
cana-4515	262	42	0	0	NUM
cana-4515	262	43	3	3	NUM
cana-4515	262	44	−1	−1	NOUN
cana-4515	262	45	⋱	⋱	PUNCT
cana-4515	262	46	0	0	NUM
cana-4515	262	47	−1	−1	NOUN
cana-4515	262	48	⋱	⋱	PUNCT
cana-4515	262	49	⋱	⋱	PUNCT
cana-4515	262	50	⋱	⋱	X
cana-4515	262	51	⋱	⋱	X
cana-4515	262	52	−1	−1	NOUN
cana-4515	262	53	4	4	NUM
cana-4515	262	54	⋱	⋱	PUNCT
cana-4515	262	55	⋮	⋮	NOUN
cana-4515	262	56	0	0	NUM
cana-4515	262	57	⋱	⋱	SYM
cana-4515	262	58	⋱	⋱	X
cana-4515	262	59	⋱	⋱	X
cana-4515	262	60	⋱	⋱	X
cana-4515	262	61	⋱	⋱	X
cana-4515	262	62	⋱	⋱	X
cana-4515	262	63	⋱	⋱	X
cana-4515	262	64	−1	−1	NOUN
cana-4515	262	65	⋮	⋮	NOUN
cana-4515	262	66	⋯	⋯	ADP
cana-4515	262	67	−1	−1	NOUN
cana-4515	262	68	0	0	NUM
cana-4515	262	69	−1	−1	NOUN
cana-4515	262	70	0	0	NUM
cana-4515	262	71	0	0	NUM
cana-4515	262	72	−1	−1	NOUN
cana-4515	262	73	4	4	NUM
cana-4515	262	74	|	|	ADV
cana-4515	263	1	|	|	ADV
cana-4515	264	1	|	|	ADV
cana-4515	264	2	(	(	PUNCT
cana-4515	264	3	2𝑘+3)∗(2𝑘+3	2𝑘+3)∗(2𝑘+3	NUM
cana-4515	264	4	)	)	PUNCT
cana-4515	265	1	|	|	ADV
cana-4515	266	1	|	|	ADV
cana-4515	266	2	|	|	INTJ
cana-4515	267	1	|	|	INTJ
cana-4515	267	2	|	|	INTJ
cana-4515	268	1	|	|	INTJ
cana-4515	269	1	|	|	INTJ
cana-4515	269	2	|	|	ADV
cana-4515	270	1	|	|	ADV
cana-4515	270	2	2	2	NUM
cana-4515	270	3	−1	−1	NOUN
cana-4515	270	4	0	0	NUM
cana-4515	271	1	⋯	⋯	NOUN
cana-4515	272	1	⋯	⋯	ADP
cana-4515	272	2	0	0	NUM
cana-4515	272	3	−1	−1	NOUN
cana-4515	272	4	0	0	PUNCT
cana-4515	273	1	⋯	⋯	NOUN
cana-4515	273	2	0	0	NUM
cana-4515	273	3	−1	−1	NOUN
cana-4515	273	4	3	3	NUM
cana-4515	273	5	⋱	⋱	PUNCT
cana-4515	273	6	⋱	⋱	X
cana-4515	273	7	⋱	⋱	X
cana-4515	273	8	0	0	NUM
cana-4515	273	9	⋱	⋱	SYM
cana-4515	273	10	⋱	⋱	X
cana-4515	273	11	⋱	⋱	X
cana-4515	273	12	⋮	⋮	NOUN
cana-4515	273	13	0	0	NUM
cana-4515	273	14	⋱	⋱	SYM
cana-4515	273	15	4	4	NUM
cana-4515	273	16	⋱	⋱	SYM
cana-4515	273	17	⋱	⋱	X
cana-4515	273	18	⋱	⋱	X
cana-4515	273	19	−1	−1	NOUN
cana-4515	273	20	⋱	⋱	SYM
cana-4515	273	21	⋱	⋱	X
cana-4515	273	22	0	0	NUM
cana-4515	273	23	⋮	⋮	NOUN
cana-4515	273	24	⋱	⋱	PUNCT
cana-4515	273	25	⋱	⋱	PUNCT
cana-4515	273	26	⋱	⋱	X
cana-4515	273	27	⋱	⋱	X
cana-4515	273	28	⋱	⋱	X
cana-4515	273	29	⋱	⋱	X
cana-4515	273	30	⋱	⋱	X
cana-4515	273	31	⋱	⋱	X
cana-4515	273	32	−1	−1	NOUN
cana-4515	273	33	⋮	⋮	NOUN
cana-4515	273	34	⋱	⋱	PUNCT
cana-4515	273	35	⋱	⋱	PUNCT
cana-4515	273	36	⋱	⋱	SYM
cana-4515	273	37	4	4	NUM
cana-4515	273	38	−1	−1	NOUN
cana-4515	273	39	⋱	⋱	PUNCT
cana-4515	273	40	⋱	⋱	PUNCT
cana-4515	273	41	⋱	⋱	X
cana-4515	273	42	0	0	X
cana-4515	273	43	0	0	NUM
cana-4515	273	44	0	0	NUM
cana-4515	273	45	⋱	⋱	SYM
cana-4515	273	46	⋱	⋱	X
cana-4515	273	47	−1	−1	NOUN
cana-4515	273	48	3	3	NUM
cana-4515	273	49	0	0	NUM
cana-4515	273	50	⋱	⋱	SYM
cana-4515	273	51	⋱	⋱	X
cana-4515	273	52	−1	−1	NOUN
cana-4515	273	53	−1	−1	NOUN
cana-4515	273	54	⋱	⋱	SYM
cana-4515	273	55	−1	−1	NOUN
cana-4515	273	56	⋱	⋱	PUNCT
cana-4515	273	57	⋱	⋱	SYM
cana-4515	273	58	0	0	NUM
cana-4515	273	59	3	3	NUM
cana-4515	273	60	−1	−1	NOUN
cana-4515	273	61	⋱	⋱	PUNCT
cana-4515	273	62	0	0	NUM
cana-4515	273	63	0	0	NUM
cana-4515	273	64	⋱	⋱	SYM
cana-4515	273	65	⋱	⋱	X
cana-4515	273	66	⋱	⋱	X
cana-4515	273	67	⋱	⋱	X
cana-4515	273	68	⋱	⋱	X
cana-4515	273	69	−1	−1	NOUN
cana-4515	273	70	4	4	NUM
cana-4515	273	71	⋱	⋱	PUNCT
cana-4515	273	72	⋮	⋮	NOUN
cana-4515	273	73	⋮	⋮	NOUN
cana-4515	273	74	⋱	⋱	PUNCT
cana-4515	273	75	⋱	⋱	PUNCT
cana-4515	273	76	⋱	⋱	X
cana-4515	273	77	⋱	⋱	X
cana-4515	273	78	⋱	⋱	X
cana-4515	273	79	⋱	⋱	X
cana-4515	273	80	⋱	⋱	X
cana-4515	273	81	⋱	⋱	X
cana-4515	273	82	−1	−1	NOUN
cana-4515	273	83	0	0	PUNCT
cana-4515	273	84	⋯	⋯	NOUN
cana-4515	273	85	0	0	NUM
cana-4515	273	86	−1	−1	NOUN
cana-4515	273	87	0	0	NUM
cana-4515	273	88	−1	−1	NOUN
cana-4515	273	89	0	0	NUM
cana-4515	273	90	0	0	NUM
cana-4515	273	91	−1	−1	NOUN
cana-4515	273	92	4	4	NUM
cana-4515	273	93	|	|	ADV
cana-4515	274	1	|	|	ADV
cana-4515	275	1	|	|	ADV
cana-4515	275	2	(	(	PUNCT
cana-4515	276	1	2𝑘+4)∗(2𝑘+4	2𝑘+4)∗(2𝑘+4	NUM
cana-4515	276	2	)	)	PUNCT
cana-4515	277	1	|	|	ADV
cana-4515	277	2	|	|	ADV
cana-4515	277	3	|	|	ADV
cana-4515	277	4	−1	−1	NOUN
cana-4515	277	5	0	0	PUNCT
cana-4515	278	1	⋯	⋯	NOUN
cana-4515	278	2	⋯	⋯	ADP
cana-4515	278	3	0	0	NUM
cana-4515	278	4	−1	−1	NOUN
cana-4515	278	5	0	0	PUNCT
cana-4515	279	1	⋯	⋯	NOUN
cana-4515	279	2	⋯	⋯	PROPN
cana-4515	279	3	0	0	NUM
cana-4515	279	4	3	3	NUM
cana-4515	279	5	⋱	⋱	SYM
cana-4515	279	6	⋱	⋱	X
cana-4515	280	1	⋯	⋯	X
cana-4515	280	2	⋯	⋯	NOUN
cana-4515	280	3	⋱	⋱	PUNCT
cana-4515	280	4	⋱	⋱	X
cana-4515	280	5	⋱	⋱	X
cana-4515	280	6	⋱	⋱	X
cana-4515	280	7	⋮	⋮	NOUN
cana-4515	280	8	−1	−1	NOUN
cana-4515	280	9	4	4	NUM
cana-4515	280	10	⋱	⋱	SYM
cana-4515	280	11	⋱	⋱	X
cana-4515	280	12	⋱	⋱	X
cana-4515	280	13	−1	−1	NOUN
cana-4515	280	14	⋱	⋱	SYM
cana-4515	280	15	⋱	⋱	X
cana-4515	280	16	⋱	⋱	X
cana-4515	280	17	⋮	⋮	NOUN
cana-4515	280	18	0	0	NUM
cana-4515	280	19	⋱	⋱	SYM
cana-4515	280	20	⋱	⋱	X
cana-4515	280	21	⋱	⋱	X
cana-4515	280	22	⋱	⋱	X
cana-4515	280	23	⋱	⋱	X
cana-4515	280	24	⋱	⋱	X
cana-4515	280	25	⋱	⋱	X
cana-4515	280	26	⋱	⋱	X
cana-4515	280	27	0	0	NUM
cana-4515	280	28	⋮	⋮	NOUN
cana-4515	280	29	⋱	⋱	PUNCT
cana-4515	280	30	⋱	⋱	SYM
cana-4515	280	31	4	4	NUM
cana-4515	280	32	−1	−1	NOUN
cana-4515	280	33	⋱	⋱	PUNCT
cana-4515	280	34	⋱	⋱	PUNCT
cana-4515	280	35	⋱	⋱	X
cana-4515	280	36	⋱	⋱	X
cana-4515	280	37	−1	−1	NOUN
cana-4515	280	38	⋮	⋮	NOUN
cana-4515	280	39	⋱	⋱	PUNCT
cana-4515	280	40	⋱	⋱	X
cana-4515	280	41	−1	−1	NOUN
cana-4515	280	42	3	3	NUM
cana-4515	280	43	0	0	NUM
cana-4515	280	44	⋱	⋱	SYM
cana-4515	280	45	⋱	⋱	X
cana-4515	280	46	⋱	⋱	X
cana-4515	280	47	0	0	NUM
cana-4515	280	48	0	0	NUM
cana-4515	280	49	−1	−1	NOUN
cana-4515	280	50	⋱	⋱	PUNCT
cana-4515	280	51	⋱	⋱	SYM
cana-4515	280	52	0	0	NUM
cana-4515	280	53	3	3	NUM
cana-4515	280	54	−1	−1	NOUN
cana-4515	280	55	⋱	⋱	X
cana-4515	280	56	⋱	⋱	X
cana-4515	280	57	⋮	⋮	NOUN
cana-4515	280	58	−1	−1	NOUN
cana-4515	280	59	⋱	⋱	PUNCT
cana-4515	280	60	⋱	⋱	PUNCT
cana-4515	280	61	⋱	⋱	X
cana-4515	280	62	⋱	⋱	X
cana-4515	280	63	−1	−1	NOUN
cana-4515	280	64	4	4	NUM
cana-4515	280	65	⋱	⋱	SYM
cana-4515	280	66	⋱	⋱	X
cana-4515	280	67	⋮	⋮	NOUN
cana-4515	280	68	0	0	NUM
cana-4515	280	69	⋱	⋱	SYM
cana-4515	280	70	⋱	⋱	X
cana-4515	280	71	⋱	⋱	X
cana-4515	280	72	⋱	⋱	X
cana-4515	280	73	⋱	⋱	X
cana-4515	280	74	⋱	⋱	X
cana-4515	280	75	⋱	⋱	X
cana-4515	280	76	⋱	⋱	X
cana-4515	280	77	0	0	NUM
cana-4515	280	78	⋮	⋮	NOUN
cana-4515	280	79	⋯	⋯	ADP
cana-4515	280	80	−1	−1	NOUN
cana-4515	280	81	0	0	NUM
cana-4515	280	82	−1	−1	NOUN
cana-4515	280	83	0	0	NUM
cana-4515	280	84	0	0	NUM
cana-4515	280	85	−1	−1	NOUN
cana-4515	280	86	4	4	NUM
cana-4515	280	87	−1	−1	NOUN
cana-4515	281	1	|	|	ADV
cana-4515	281	2	|	|	ADV
cana-4515	281	3	|	|	INTJ
cana-4515	281	4	(	(	PUNCT
cana-4515	281	5	2𝑘+4)∗(2𝑘+4	2𝑘+4)∗(2𝑘+4	NUM
cana-4515	281	6	)	)	PUNCT
cana-4515	282	1	|	|	ADV
cana-4515	282	2	|	|	ADV
cana-4515	282	3	|	|	ADV
cana-4515	282	4	−1	−1	NOUN
cana-4515	282	5	3	3	NUM
cana-4515	282	6	−1	−1	NOUN
cana-4515	282	7	0	0	PUNCT
cana-4515	283	1	⋯	⋯	NOUN
cana-4515	283	2	⋯	⋯	ADP
cana-4515	283	3	0	0	NUM
cana-4515	283	4	−1	−1	NOUN
cana-4515	283	5	0	0	PUNCT
cana-4515	284	1	⋯	⋯	NOUN
cana-4515	284	2	0	0	NUM
cana-4515	284	3	⋱	⋱	SYM
cana-4515	284	4	4	4	NUM
cana-4515	284	5	⋱	⋱	SYM
cana-4515	284	6	⋱	⋱	X
cana-4515	284	7	⋱	⋱	X
cana-4515	284	8	−1	−1	NOUN
cana-4515	284	9	⋱	⋱	X
cana-4515	284	10	⋱	⋱	X
cana-4515	284	11	⋮	⋮	ADJ
cana-4515	284	12	⋮	⋮	NOUN
cana-4515	284	13	⋱	⋱	PUNCT
cana-4515	284	14	⋱	⋱	PUNCT
cana-4515	284	15	⋱	⋱	X
cana-4515	284	16	⋱	⋱	X
cana-4515	284	17	⋱	⋱	X
cana-4515	284	18	⋱	⋱	X
cana-4515	284	19	⋱	⋱	X
cana-4515	284	20	⋱	⋱	X
cana-4515	284	21	−1	−1	NOUN
cana-4515	284	22	⋮	⋮	NOUN
cana-4515	284	23	⋱	⋱	PUNCT
cana-4515	284	24	⋱	⋱	PUNCT
cana-4515	284	25	⋱	⋱	SYM
cana-4515	284	26	4	4	NUM
cana-4515	284	27	−1	−1	NOUN
cana-4515	284	28	⋱	⋱	PUNCT
cana-4515	284	29	⋱	⋱	PUNCT
cana-4515	284	30	⋱	⋱	X
cana-4515	284	31	0	0	X
cana-4515	284	32	0	0	NUM
cana-4515	284	33	0	0	NUM
cana-4515	284	34	⋱	⋱	SYM
cana-4515	284	35	⋱	⋱	X
cana-4515	284	36	−1	−1	NOUN
cana-4515	284	37	3	3	NUM
cana-4515	284	38	0	0	NUM
cana-4515	284	39	⋱	⋱	SYM
cana-4515	284	40	⋱	⋱	X
cana-4515	284	41	−1	−1	NOUN
cana-4515	284	42	−1	−1	NOUN
cana-4515	284	43	⋱	⋱	SYM
cana-4515	284	44	−1	−1	NOUN
cana-4515	284	45	⋱	⋱	PUNCT
cana-4515	284	46	⋱	⋱	SYM
cana-4515	284	47	0	0	NUM
cana-4515	284	48	3	3	NUM
cana-4515	284	49	−1	−1	NOUN
cana-4515	284	50	⋱	⋱	PUNCT
cana-4515	284	51	0	0	NUM
cana-4515	284	52	0	0	NUM
cana-4515	284	53	⋱	⋱	SYM
cana-4515	284	54	⋱	⋱	X
cana-4515	284	55	⋱	⋱	X
cana-4515	284	56	⋱	⋱	X
cana-4515	284	57	⋱	⋱	X
cana-4515	284	58	−1	−1	NOUN
cana-4515	284	59	4	4	NUM
cana-4515	284	60	⋱	⋱	PUNCT
cana-4515	284	61	⋮	⋮	NOUN
cana-4515	284	62	⋮	⋮	NOUN
cana-4515	284	63	⋱	⋱	PUNCT
cana-4515	284	64	⋱	⋱	PUNCT
cana-4515	284	65	⋱	⋱	X
cana-4515	284	66	⋱	⋱	X
cana-4515	284	67	⋱	⋱	X
cana-4515	284	68	⋱	⋱	X
cana-4515	284	69	⋱	⋱	X
cana-4515	284	70	⋱	⋱	X
cana-4515	284	71	−1	−1	NOUN
cana-4515	284	72	⋮	⋮	NOUN
cana-4515	284	73	⋱	⋱	PUNCT
cana-4515	284	74	⋱	⋱	PUNCT
cana-4515	284	75	⋱	⋱	X
cana-4515	284	76	⋱	⋱	X
cana-4515	284	77	−1	−1	NOUN
cana-4515	284	78	⋱	⋱	SYM
cana-4515	284	79	⋱	⋱	X
cana-4515	284	80	⋱	⋱	SYM
cana-4515	284	81	4	4	X
cana-4515	284	82	0	0	NUM
cana-4515	284	83	⋯	⋯	NOUN
cana-4515	284	84	⋯	⋯	ADP
cana-4515	284	85	0	0	NUM
cana-4515	284	86	−1	−1	NOUN
cana-4515	284	87	0	0	PUNCT
cana-4515	285	1	⋯	⋯	NOUN
cana-4515	286	1	⋯	⋯	PROPN
cana-4515	286	2	0	0	NUM
cana-4515	286	3	−1	−1	NOUN
cana-4515	287	1	|	|	ADV
cana-4515	287	2	|	|	ADV
cana-4515	288	1	|	|	INTJ
cana-4515	288	2	(	(	PUNCT
cana-4515	289	1	2𝑘+4)∗(2𝑘+4	2𝑘+4)∗(2𝑘+4	NUM
cana-4515	289	2	)	)	PUNCT
cana-4515	290	1	|	|	ADV
cana-4515	291	1	|	|	ADV
cana-4515	291	2	|	|	ADV
cana-4515	291	3	3	3	NUM
cana-4515	291	4	−1	−1	NOUN
cana-4515	291	5	0	0	PUNCT
cana-4515	292	1	⋯	⋯	NOUN
cana-4515	292	2	⋯	⋯	ADP
cana-4515	292	3	0	0	NUM
cana-4515	292	4	−1	−1	NOUN
cana-4515	292	5	0	0	PUNCT
cana-4515	293	1	⋯	⋯	NOUN
cana-4515	293	2	0	0	NUM
cana-4515	293	3	−1	−1	NOUN
cana-4515	293	4	4	4	NUM
cana-4515	293	5	⋱	⋱	SYM
cana-4515	293	6	⋱	⋱	X
cana-4515	293	7	⋱	⋱	X
cana-4515	293	8	−1	−1	NOUN
cana-4515	293	9	⋱	⋱	SYM
cana-4515	293	10	⋱	⋱	X
cana-4515	293	11	⋱	⋱	X
cana-4515	293	12	⋮	⋮	NOUN
cana-4515	293	13	0	0	NUM
cana-4515	293	14	⋱	⋱	SYM
cana-4515	293	15	⋱	⋱	X
cana-4515	293	16	⋱	⋱	X
cana-4515	293	17	⋱	⋱	X
cana-4515	293	18	⋱	⋱	X
cana-4515	293	19	⋱	⋱	X
cana-4515	293	20	⋱	⋱	X
cana-4515	293	21	⋱	⋱	X
cana-4515	293	22	0	0	NUM
cana-4515	293	23	⋮	⋮	NOUN
cana-4515	293	24	⋱	⋱	PUNCT
cana-4515	293	25	⋱	⋱	SYM
cana-4515	293	26	4	4	NUM
cana-4515	293	27	−1	−1	NOUN
cana-4515	293	28	⋱	⋱	PUNCT
cana-4515	293	29	⋱	⋱	PUNCT
cana-4515	293	30	⋱	⋱	X
cana-4515	293	31	⋱	⋱	X
cana-4515	293	32	−1	−1	NOUN
cana-4515	293	33	⋮	⋮	NOUN
cana-4515	293	34	⋱	⋱	PUNCT
cana-4515	293	35	⋱	⋱	X
cana-4515	293	36	−1	−1	NOUN
cana-4515	293	37	3	3	NUM
cana-4515	293	38	0	0	NUM
cana-4515	293	39	⋱	⋱	SYM
cana-4515	293	40	⋱	⋱	X
cana-4515	293	41	−1	−1	NOUN
cana-4515	293	42	0	0	SYM
cana-4515	293	43	0	0	NUM
cana-4515	293	44	−1	−1	NOUN
cana-4515	293	45	⋱	⋱	PUNCT
cana-4515	293	46	⋱	⋱	SYM
cana-4515	293	47	0	0	NUM
cana-4515	293	48	3	3	NUM
cana-4515	293	49	−1	−1	NOUN
cana-4515	293	50	⋱	⋱	X
cana-4515	293	51	⋱	⋱	X
cana-4515	293	52	⋮	⋮	NOUN
cana-4515	293	53	−1	−1	NOUN
cana-4515	293	54	⋱	⋱	PUNCT
cana-4515	293	55	⋱	⋱	PUNCT
cana-4515	293	56	⋱	⋱	X
cana-4515	293	57	⋱	⋱	X
cana-4515	293	58	−1	−1	NOUN
cana-4515	293	59	4	4	NUM
cana-4515	293	60	⋱	⋱	SYM
cana-4515	293	61	⋱	⋱	X
cana-4515	293	62	⋮	⋮	NOUN
cana-4515	293	63	0	0	NUM
cana-4515	293	64	⋱	⋱	SYM
cana-4515	293	65	⋱	⋱	X
cana-4515	293	66	⋱	⋱	X
cana-4515	293	67	⋱	⋱	X
cana-4515	293	68	⋱	⋱	X
cana-4515	293	69	⋱	⋱	X
cana-4515	293	70	⋱	⋱	X
cana-4515	293	71	⋱	⋱	X
cana-4515	293	72	0	0	NUM
cana-4515	293	73	⋮	⋮	NOUN
cana-4515	293	74	⋱	⋱	PUNCT
cana-4515	293	75	⋱	⋱	PUNCT
cana-4515	293	76	⋱	⋱	X
cana-4515	293	77	−1	−1	NOUN
cana-4515	293	78	⋱	⋱	SYM
cana-4515	293	79	⋱	⋱	X
cana-4515	293	80	⋱	⋱	SYM
cana-4515	293	81	4	4	NUM
cana-4515	293	82	−1	−1	NOUN
cana-4515	293	83	0	0	PUNCT
cana-4515	293	84	⋯	⋯	NOUN
cana-4515	293	85	0	0	NUM
cana-4515	293	86	−1	−1	NOUN
cana-4515	293	87	0	0	PUNCT
cana-4515	294	1	⋯	⋯	NOUN
cana-4515	294	2	⋯	⋯	PROPN
cana-4515	294	3	0	0	NUM
cana-4515	294	4	−1	−1	NOUN
cana-4515	294	5	3	3	NUM
cana-4515	295	1	|	|	ADV
cana-4515	295	2	|	|	ADV
cana-4515	295	3	|	|	ADV
cana-4515	295	4	(	(	PUNCT
cana-4515	295	5	2𝑘+4)∗(2𝑘+4	2𝑘+4)∗(2𝑘+4	NUM
cana-4515	295	6	)	)	PUNCT
cana-4515	296	1	|	|	ADV
cana-4515	297	1	|	|	ADV
cana-4515	297	2	|	|	INTJ
cana-4515	298	1	|	|	INTJ
cana-4515	298	2	|	|	ADV
cana-4515	298	3	|	|	ADV
cana-4515	298	4	for	for	ADP
cana-4515	298	5	which	which	PRON
cana-4515	298	6	1	1	NUM
cana-4515	298	7	𝑆	𝑆	NOUN
cana-4515	298	8	=	=	SYM
cana-4515	298	9	1	1	NUM
cana-4515	299	1	|	|	ADV
cana-4515	299	2	|	|	ADV
cana-4515	299	3	|	|	ADV
cana-4515	299	4	3	3	NUM
cana-4515	299	5	−1	−1	NOUN
cana-4515	299	6	0	0	PUNCT
cana-4515	300	1	⋯	⋯	NOUN
cana-4515	300	2	⋯	⋯	ADP
cana-4515	300	3	0	0	NUM
cana-4515	300	4	−1	−1	NOUN
cana-4515	300	5	0	0	PUNCT
cana-4515	301	1	⋯	⋯	NOUN
cana-4515	301	2	−1	−1	NOUN
cana-4515	301	3	4	4	NUM
cana-4515	301	4	⋱	⋱	SYM
cana-4515	301	5	⋱	⋱	X
cana-4515	301	6	⋱	⋱	X
cana-4515	301	7	−1	−1	NOUN
cana-4515	301	8	⋱	⋱	X
cana-4515	301	9	⋱	⋱	X
cana-4515	301	10	⋮	⋮	NOUN
cana-4515	301	11	0	0	NUM
cana-4515	301	12	⋱	⋱	SYM
cana-4515	301	13	⋱	⋱	X
cana-4515	301	14	⋱	⋱	X
cana-4515	301	15	⋱	⋱	X
cana-4515	301	16	⋱	⋱	X
cana-4515	301	17	⋱	⋱	X
cana-4515	301	18	⋱	⋱	X
cana-4515	301	19	−1	−1	NOUN
cana-4515	301	20	⋮	⋮	NOUN
cana-4515	301	21	⋱	⋱	PUNCT
cana-4515	301	22	⋱	⋱	SYM
cana-4515	301	23	4	4	NUM
cana-4515	301	24	−1	−1	NOUN
cana-4515	301	25	⋱	⋱	PUNCT
cana-4515	301	26	⋱	⋱	PUNCT
cana-4515	301	27	⋱	⋱	X
cana-4515	301	28	0	0	NUM
cana-4515	301	29	⋮	⋮	NOUN
cana-4515	301	30	⋱	⋱	PUNCT
cana-4515	301	31	⋱	⋱	X
cana-4515	301	32	−1	−1	NOUN
cana-4515	301	33	3	3	NUM
cana-4515	301	34	0	0	NUM
cana-4515	301	35	⋱	⋱	SYM
cana-4515	301	36	⋱	⋱	X
cana-4515	301	37	−1	−1	NOUN
cana-4515	301	38	0	0	NUM
cana-4515	301	39	−1	−1	NOUN
cana-4515	301	40	⋱	⋱	PUNCT
cana-4515	301	41	⋱	⋱	SYM
cana-4515	301	42	0	0	NUM
cana-4515	301	43	3	3	NUM
cana-4515	301	44	−1	−1	NOUN
cana-4515	301	45	⋱	⋱	PUNCT
cana-4515	301	46	0	0	NUM
cana-4515	301	47	−1	−1	NOUN
cana-4515	301	48	⋱	⋱	PUNCT
cana-4515	301	49	⋱	⋱	PUNCT
cana-4515	301	50	⋱	⋱	X
cana-4515	301	51	⋱	⋱	X
cana-4515	301	52	−1	−1	NOUN
cana-4515	301	53	4	4	NUM
cana-4515	301	54	⋱	⋱	PUNCT
cana-4515	301	55	⋮	⋮	NOUN
cana-4515	301	56	0	0	NUM
cana-4515	301	57	⋱	⋱	SYM
cana-4515	301	58	⋱	⋱	X
cana-4515	301	59	⋱	⋱	X
cana-4515	301	60	⋱	⋱	X
cana-4515	301	61	⋱	⋱	X
cana-4515	301	62	⋱	⋱	X
cana-4515	301	63	⋱	⋱	X
cana-4515	301	64	−1	−1	NOUN
cana-4515	301	65	⋮	⋮	NOUN
cana-4515	301	66	⋯	⋯	ADP
cana-4515	301	67	−1	−1	NOUN
cana-4515	301	68	0	0	NUM
cana-4515	301	69	−1	−1	NOUN
cana-4515	301	70	0	0	NUM
cana-4515	301	71	0	0	NUM
cana-4515	301	72	−1	−1	NOUN
cana-4515	301	73	4	4	NUM
cana-4515	301	74	|	|	ADV
cana-4515	302	1	|	|	ADV
cana-4515	303	1	|	|	ADV
cana-4515	303	2	(	(	PUNCT
cana-4515	303	3	2𝑚+3)×(2𝑚+3	2𝑚+3)×(2𝑚+3	PROPN
cana-4515	303	4	)	)	PUNCT
cana-4515	303	5	,	,	PUNCT
cana-4515	303	6	communications	communication	NOUN
cana-4515	303	7	on	on	ADP
cana-4515	303	8	applied	apply	VERB
cana-4515	303	9	nonlinear	nonlinear	ADJ
cana-4515	303	10	analysis	analysis	NOUN
cana-4515	303	11	issn	issn	NOUN
cana-4515	303	12	:	:	PUNCT
cana-4515	303	13	1074	1074	NUM
cana-4515	303	14	-	-	PUNCT
cana-4515	303	15	133x	133x	NUM
cana-4515	303	16	vol	vol	NOUN
cana-4515	303	17	32	32	NUM
cana-4515	303	18	no	no	NOUN
cana-4515	303	19	.	.	PUNCT
cana-4515	304	1	9s	9s	NUM
cana-4515	304	2	(	(	PUNCT
cana-4515	304	3	2025	2025	NUM
cana-4515	304	4	)	)	PUNCT
cana-4515	304	5	2299	2299	NUM
cana-4515	304	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4515	304	7	a=	a=	VERB
cana-4515	305	1	|	|	ADV
cana-4515	305	2	|	|	ADV
cana-4515	306	1	|	|	ADV
cana-4515	306	2	2	2	NUM
cana-4515	306	3	−1	−1	NOUN
cana-4515	306	4	0	0	NUM
cana-4515	307	1	⋯	⋯	NOUN
cana-4515	308	1	⋯	⋯	ADP
cana-4515	308	2	0	0	NUM
cana-4515	308	3	−1	−1	NOUN
cana-4515	308	4	0	0	PUNCT
cana-4515	309	1	⋯	⋯	NOUN
cana-4515	309	2	0	0	NUM
cana-4515	309	3	−1	−1	NOUN
cana-4515	309	4	3	3	NUM
cana-4515	309	5	⋱	⋱	PUNCT
cana-4515	309	6	⋱	⋱	X
cana-4515	309	7	⋱	⋱	X
cana-4515	309	8	0	0	NUM
cana-4515	309	9	⋱	⋱	SYM
cana-4515	309	10	⋱	⋱	X
cana-4515	309	11	⋱	⋱	X
cana-4515	309	12	⋮	⋮	NOUN
cana-4515	309	13	0	0	NUM
cana-4515	309	14	⋱	⋱	SYM
cana-4515	309	15	4	4	NUM
cana-4515	309	16	⋱	⋱	SYM
cana-4515	309	17	⋱	⋱	X
cana-4515	309	18	⋱	⋱	X
cana-4515	309	19	−1	−1	NOUN
cana-4515	309	20	⋱	⋱	SYM
cana-4515	309	21	⋱	⋱	X
cana-4515	309	22	0	0	NUM
cana-4515	309	23	⋮	⋮	NOUN
cana-4515	309	24	⋱	⋱	PUNCT
cana-4515	309	25	⋱	⋱	PUNCT
cana-4515	309	26	⋱	⋱	X
cana-4515	309	27	⋱	⋱	X
cana-4515	309	28	⋱	⋱	X
cana-4515	309	29	⋱	⋱	X
cana-4515	309	30	⋱	⋱	X
cana-4515	309	31	⋱	⋱	X
cana-4515	309	32	−1	−1	NOUN
cana-4515	309	33	⋮	⋮	NOUN
cana-4515	309	34	⋱	⋱	PUNCT
cana-4515	309	35	⋱	⋱	PUNCT
cana-4515	309	36	⋱	⋱	SYM
cana-4515	309	37	4	4	NUM
cana-4515	309	38	−1	−1	NOUN
cana-4515	309	39	⋱	⋱	PUNCT
cana-4515	309	40	⋱	⋱	PUNCT
cana-4515	309	41	⋱	⋱	X
cana-4515	309	42	0	0	X
cana-4515	309	43	0	0	NUM
cana-4515	309	44	0	0	NUM
cana-4515	309	45	⋱	⋱	SYM
cana-4515	309	46	⋱	⋱	X
cana-4515	309	47	−1	−1	NOUN
cana-4515	309	48	3	3	NUM
cana-4515	309	49	0	0	NUM
cana-4515	309	50	⋱	⋱	SYM
cana-4515	309	51	⋱	⋱	X
cana-4515	309	52	−1	−1	NOUN
cana-4515	309	53	−1	−1	NOUN
cana-4515	309	54	⋱	⋱	SYM
cana-4515	309	55	−1	−1	NOUN
cana-4515	309	56	⋱	⋱	PUNCT
cana-4515	309	57	⋱	⋱	SYM
cana-4515	309	58	0	0	NUM
cana-4515	309	59	3	3	NUM
cana-4515	309	60	−1	−1	NOUN
cana-4515	309	61	⋱	⋱	PUNCT
cana-4515	309	62	0	0	NUM
cana-4515	309	63	0	0	NUM
cana-4515	309	64	⋱	⋱	SYM
cana-4515	309	65	⋱	⋱	X
cana-4515	309	66	⋱	⋱	X
cana-4515	309	67	⋱	⋱	X
cana-4515	309	68	⋱	⋱	X
cana-4515	309	69	−1	−1	NOUN
cana-4515	309	70	4	4	NUM
cana-4515	309	71	⋱	⋱	PUNCT
cana-4515	309	72	⋮	⋮	NOUN
cana-4515	309	73	⋮	⋮	NOUN
cana-4515	309	74	⋱	⋱	PUNCT
cana-4515	309	75	⋱	⋱	PUNCT
cana-4515	309	76	⋱	⋱	X
cana-4515	309	77	⋱	⋱	X
cana-4515	309	78	⋱	⋱	X
cana-4515	309	79	⋱	⋱	X
cana-4515	309	80	⋱	⋱	X
cana-4515	309	81	⋱	⋱	X
cana-4515	309	82	−1	−1	NOUN
cana-4515	309	83	0	0	PUNCT
cana-4515	309	84	⋯	⋯	NOUN
cana-4515	309	85	0	0	NUM
cana-4515	309	86	−1	−1	NOUN
cana-4515	309	87	0	0	NUM
cana-4515	309	88	−1	−1	NOUN
cana-4515	309	89	0	0	NUM
cana-4515	309	90	0	0	NUM
cana-4515	309	91	−1	−1	NOUN
cana-4515	309	92	4	4	NUM
cana-4515	309	93	|	|	ADV
cana-4515	310	1	|	|	ADV
cana-4515	311	1	|	|	ADV
cana-4515	311	2	(	(	PUNCT
cana-4515	311	3	2𝑚+4)×(2𝑚+4	2𝑚+4)×(2𝑚+4	NOUN
cana-4515	311	4	)	)	PUNCT
cana-4515	311	5	,	,	PUNCT
cana-4515	311	6	b=	b=	NOUN
cana-4515	312	1	|	|	ADV
cana-4515	313	1	|	|	ADV
cana-4515	313	2	|	|	ADV
cana-4515	313	3	−1	−1	NOUN
cana-4515	313	4	0	0	PUNCT
cana-4515	314	1	⋯	⋯	NOUN
cana-4515	314	2	⋯	⋯	ADP
cana-4515	314	3	0	0	NUM
cana-4515	314	4	−1	−1	NOUN
cana-4515	314	5	0	0	PUNCT
cana-4515	315	1	⋯	⋯	NOUN
cana-4515	315	2	⋯	⋯	PROPN
cana-4515	315	3	0	0	NUM
cana-4515	315	4	3	3	NUM
cana-4515	315	5	⋱	⋱	SYM
cana-4515	315	6	⋱	⋱	X
cana-4515	316	1	⋯	⋯	X
cana-4515	316	2	⋯	⋯	NOUN
cana-4515	316	3	⋱	⋱	PUNCT
cana-4515	316	4	⋱	⋱	X
cana-4515	316	5	⋱	⋱	X
cana-4515	316	6	⋱	⋱	X
cana-4515	316	7	⋮	⋮	NOUN
cana-4515	316	8	−1	−1	NOUN
cana-4515	316	9	4	4	NUM
cana-4515	316	10	⋱	⋱	SYM
cana-4515	316	11	⋱	⋱	X
cana-4515	316	12	⋱	⋱	X
cana-4515	316	13	−1	−1	NOUN
cana-4515	316	14	⋱	⋱	SYM
cana-4515	316	15	⋱	⋱	X
cana-4515	316	16	⋱	⋱	X
cana-4515	316	17	⋮	⋮	NOUN
cana-4515	316	18	0	0	NUM
cana-4515	316	19	⋱	⋱	SYM
cana-4515	316	20	⋱	⋱	X
cana-4515	316	21	⋱	⋱	X
cana-4515	316	22	⋱	⋱	X
cana-4515	316	23	⋱	⋱	X
cana-4515	316	24	⋱	⋱	X
cana-4515	316	25	⋱	⋱	X
cana-4515	316	26	⋱	⋱	X
cana-4515	316	27	0	0	NUM
cana-4515	316	28	⋮	⋮	NOUN
cana-4515	316	29	⋱	⋱	PUNCT
cana-4515	316	30	⋱	⋱	SYM
cana-4515	316	31	4	4	NUM
cana-4515	316	32	−1	−1	NOUN
cana-4515	316	33	⋱	⋱	PUNCT
cana-4515	316	34	⋱	⋱	PUNCT
cana-4515	316	35	⋱	⋱	X
cana-4515	316	36	⋱	⋱	X
cana-4515	316	37	−1	−1	NOUN
cana-4515	316	38	⋮	⋮	NOUN
cana-4515	316	39	⋱	⋱	PUNCT
cana-4515	316	40	⋱	⋱	X
cana-4515	316	41	−1	−1	NOUN
cana-4515	316	42	3	3	NUM
cana-4515	316	43	0	0	NUM
cana-4515	316	44	⋱	⋱	SYM
cana-4515	316	45	⋱	⋱	X
cana-4515	316	46	⋱	⋱	X
cana-4515	316	47	0	0	NUM
cana-4515	316	48	0	0	NUM
cana-4515	316	49	−1	−1	NOUN
cana-4515	316	50	⋱	⋱	PUNCT
cana-4515	316	51	⋱	⋱	SYM
cana-4515	316	52	0	0	NUM
cana-4515	316	53	3	3	NUM
cana-4515	316	54	−1	−1	NOUN
cana-4515	316	55	⋱	⋱	X
cana-4515	316	56	⋱	⋱	X
cana-4515	316	57	⋮	⋮	NOUN
cana-4515	316	58	−1	−1	NOUN
cana-4515	316	59	⋱	⋱	PUNCT
cana-4515	316	60	⋱	⋱	PUNCT
cana-4515	316	61	⋱	⋱	X
cana-4515	316	62	⋱	⋱	X
cana-4515	316	63	−1	−1	NOUN
cana-4515	316	64	4	4	NUM
cana-4515	316	65	⋱	⋱	SYM
cana-4515	316	66	⋱	⋱	X
cana-4515	316	67	⋮	⋮	NOUN
cana-4515	316	68	0	0	NUM
cana-4515	316	69	⋱	⋱	SYM
cana-4515	316	70	⋱	⋱	X
cana-4515	316	71	⋱	⋱	X
cana-4515	316	72	⋱	⋱	X
cana-4515	316	73	⋱	⋱	X
cana-4515	316	74	⋱	⋱	X
cana-4515	316	75	⋱	⋱	X
cana-4515	316	76	⋱	⋱	X
cana-4515	316	77	0	0	NUM
cana-4515	316	78	⋮	⋮	NOUN
cana-4515	316	79	⋯	⋯	ADP
cana-4515	316	80	−1	−1	NOUN
cana-4515	316	81	0	0	NUM
cana-4515	316	82	−1	−1	NOUN
cana-4515	316	83	0	0	NUM
cana-4515	316	84	0	0	NUM
cana-4515	316	85	−1	−1	NOUN
cana-4515	316	86	4	4	NUM
cana-4515	316	87	−1	−1	NOUN
cana-4515	317	1	|	|	ADV
cana-4515	317	2	|	|	ADV
cana-4515	318	1	|	|	ADV
cana-4515	318	2	(	(	PUNCT
cana-4515	318	3	2𝑚+4)∗(2𝑚+4	2𝑚+4)∗(2𝑚+4	NOUN
cana-4515	318	4	)	)	PUNCT
cana-4515	318	5	𝐵𝑇	𝐵𝑇	NOUN
cana-4515	319	1	=	=	SYM
cana-4515	319	2	|	|	ADV
cana-4515	319	3	|	|	ADV
cana-4515	319	4	|	|	ADV
cana-4515	319	5	−1	−1	NOUN
cana-4515	319	6	3	3	NUM
cana-4515	319	7	−1	−1	NOUN
cana-4515	319	8	0	0	PUNCT
cana-4515	320	1	⋯	⋯	NOUN
cana-4515	320	2	⋯	⋯	ADP
cana-4515	320	3	0	0	NUM
cana-4515	320	4	−1	−1	NOUN
cana-4515	320	5	0	0	PUNCT
cana-4515	321	1	⋯	⋯	NOUN
cana-4515	321	2	0	0	NUM
cana-4515	321	3	⋱	⋱	SYM
cana-4515	321	4	4	4	NUM
cana-4515	321	5	⋱	⋱	SYM
cana-4515	321	6	⋱	⋱	X
cana-4515	321	7	⋱	⋱	X
cana-4515	321	8	−1	−1	NOUN
cana-4515	321	9	⋱	⋱	X
cana-4515	321	10	⋱	⋱	X
cana-4515	321	11	⋮	⋮	ADJ
cana-4515	321	12	⋮	⋮	NOUN
cana-4515	321	13	⋱	⋱	PUNCT
cana-4515	321	14	⋱	⋱	PUNCT
cana-4515	321	15	⋱	⋱	X
cana-4515	321	16	⋱	⋱	X
cana-4515	321	17	⋱	⋱	X
cana-4515	321	18	⋱	⋱	X
cana-4515	321	19	⋱	⋱	X
cana-4515	321	20	⋱	⋱	X
cana-4515	321	21	−1	−1	NOUN
cana-4515	321	22	⋮	⋮	NOUN
cana-4515	321	23	⋱	⋱	PUNCT
cana-4515	321	24	⋱	⋱	PUNCT
cana-4515	321	25	⋱	⋱	SYM
cana-4515	321	26	4	4	NUM
cana-4515	321	27	−1	−1	NOUN
cana-4515	321	28	⋱	⋱	PUNCT
cana-4515	321	29	⋱	⋱	PUNCT
cana-4515	321	30	⋱	⋱	X
cana-4515	321	31	0	0	X
cana-4515	321	32	0	0	NUM
cana-4515	321	33	0	0	NUM
cana-4515	321	34	⋱	⋱	SYM
cana-4515	321	35	⋱	⋱	X
cana-4515	321	36	−1	−1	NOUN
cana-4515	321	37	3	3	NUM
cana-4515	321	38	0	0	NUM
cana-4515	321	39	⋱	⋱	SYM
cana-4515	321	40	⋱	⋱	X
cana-4515	321	41	−1	−1	NOUN
cana-4515	321	42	−1	−1	NOUN
cana-4515	321	43	⋱	⋱	SYM
cana-4515	321	44	−1	−1	NOUN
cana-4515	321	45	⋱	⋱	PUNCT
cana-4515	321	46	⋱	⋱	SYM
cana-4515	321	47	0	0	NUM
cana-4515	321	48	3	3	NUM
cana-4515	321	49	−1	−1	NOUN
cana-4515	321	50	⋱	⋱	PUNCT
cana-4515	321	51	0	0	NUM
cana-4515	321	52	0	0	NUM
cana-4515	321	53	⋱	⋱	SYM
cana-4515	321	54	⋱	⋱	X
cana-4515	321	55	⋱	⋱	X
cana-4515	321	56	⋱	⋱	X
cana-4515	321	57	⋱	⋱	X
cana-4515	321	58	−1	−1	NOUN
cana-4515	321	59	4	4	NUM
cana-4515	321	60	⋱	⋱	PUNCT
cana-4515	321	61	⋮	⋮	NOUN
cana-4515	321	62	⋮	⋮	NOUN
cana-4515	321	63	⋱	⋱	PUNCT
cana-4515	321	64	⋱	⋱	PUNCT
cana-4515	321	65	⋱	⋱	X
cana-4515	321	66	⋱	⋱	X
cana-4515	321	67	⋱	⋱	X
cana-4515	321	68	⋱	⋱	X
cana-4515	321	69	⋱	⋱	X
cana-4515	321	70	⋱	⋱	X
cana-4515	321	71	−1	−1	NOUN
cana-4515	321	72	⋮	⋮	NOUN
cana-4515	321	73	⋱	⋱	PUNCT
cana-4515	321	74	⋱	⋱	PUNCT
cana-4515	321	75	⋱	⋱	X
cana-4515	321	76	⋱	⋱	X
cana-4515	321	77	−1	−1	NOUN
cana-4515	321	78	⋱	⋱	SYM
cana-4515	321	79	⋱	⋱	X
cana-4515	321	80	⋱	⋱	SYM
cana-4515	321	81	4	4	X
cana-4515	321	82	0	0	NUM
cana-4515	321	83	⋯	⋯	NOUN
cana-4515	321	84	⋯	⋯	ADP
cana-4515	321	85	0	0	NUM
cana-4515	321	86	−1	−1	NOUN
cana-4515	321	87	0	0	PUNCT
cana-4515	322	1	⋯	⋯	NOUN
cana-4515	323	1	⋯	⋯	PROPN
cana-4515	323	2	0	0	NUM
cana-4515	323	3	−1	−1	NOUN
cana-4515	324	1	|	|	ADV
cana-4515	324	2	|	|	ADV
cana-4515	325	1	|	|	INTJ
cana-4515	325	2	(	(	PUNCT
cana-4515	325	3	2𝑚+4)∗(2𝑚+4	2𝑚+4)∗(2𝑚+4	NOUN
cana-4515	325	4	)	)	PUNCT
cana-4515	325	5	,	,	PUNCT
cana-4515	325	6	and	and	CCONJ
cana-4515	325	7	c=	c=	NOUN
cana-4515	326	1	|	|	ADV
cana-4515	326	2	|	|	ADV
cana-4515	327	1	|	|	ADV
cana-4515	327	2	3	3	NUM
cana-4515	327	3	−1	−1	NOUN
cana-4515	327	4	0	0	PUNCT
cana-4515	328	1	⋯	⋯	NOUN
cana-4515	328	2	⋯	⋯	ADP
cana-4515	328	3	0	0	NUM
cana-4515	328	4	−1	−1	NOUN
cana-4515	328	5	0	0	PUNCT
cana-4515	329	1	⋯	⋯	NOUN
cana-4515	329	2	0	0	NUM
cana-4515	329	3	−1	−1	NOUN
cana-4515	329	4	4	4	NUM
cana-4515	329	5	⋱	⋱	SYM
cana-4515	329	6	⋱	⋱	X
cana-4515	329	7	⋱	⋱	X
cana-4515	329	8	−1	−1	NOUN
cana-4515	329	9	⋱	⋱	SYM
cana-4515	329	10	⋱	⋱	X
cana-4515	329	11	⋱	⋱	X
cana-4515	329	12	⋮	⋮	NOUN
cana-4515	329	13	0	0	NUM
cana-4515	329	14	⋱	⋱	SYM
cana-4515	329	15	⋱	⋱	X
cana-4515	329	16	⋱	⋱	X
cana-4515	329	17	⋱	⋱	X
cana-4515	329	18	⋱	⋱	X
cana-4515	329	19	⋱	⋱	X
cana-4515	329	20	⋱	⋱	X
cana-4515	329	21	⋱	⋱	X
cana-4515	329	22	0	0	NUM
cana-4515	329	23	⋮	⋮	NOUN
cana-4515	329	24	⋱	⋱	PUNCT
cana-4515	329	25	⋱	⋱	SYM
cana-4515	329	26	4	4	NUM
cana-4515	329	27	−1	−1	NOUN
cana-4515	329	28	⋱	⋱	PUNCT
cana-4515	329	29	⋱	⋱	PUNCT
cana-4515	329	30	⋱	⋱	X
cana-4515	329	31	⋱	⋱	X
cana-4515	329	32	−1	−1	NOUN
cana-4515	329	33	⋮	⋮	NOUN
cana-4515	329	34	⋱	⋱	PUNCT
cana-4515	329	35	⋱	⋱	X
cana-4515	329	36	−1	−1	NOUN
cana-4515	329	37	3	3	NUM
cana-4515	329	38	0	0	NUM
cana-4515	329	39	⋱	⋱	SYM
cana-4515	329	40	⋱	⋱	X
cana-4515	329	41	−1	−1	NOUN
cana-4515	329	42	0	0	SYM
cana-4515	329	43	0	0	NUM
cana-4515	329	44	−1	−1	NOUN
cana-4515	329	45	⋱	⋱	PUNCT
cana-4515	329	46	⋱	⋱	SYM
cana-4515	329	47	0	0	NUM
cana-4515	329	48	3	3	NUM
cana-4515	329	49	−1	−1	NOUN
cana-4515	329	50	⋱	⋱	X
cana-4515	329	51	⋱	⋱	X
cana-4515	329	52	⋮	⋮	NOUN
cana-4515	329	53	−1	−1	NOUN
cana-4515	329	54	⋱	⋱	PUNCT
cana-4515	329	55	⋱	⋱	PUNCT
cana-4515	329	56	⋱	⋱	X
cana-4515	329	57	⋱	⋱	X
cana-4515	329	58	−1	−1	NOUN
cana-4515	329	59	4	4	NUM
cana-4515	329	60	⋱	⋱	SYM
cana-4515	329	61	⋱	⋱	X
cana-4515	329	62	⋮	⋮	NOUN
cana-4515	329	63	0	0	NUM
cana-4515	329	64	⋱	⋱	SYM
cana-4515	329	65	⋱	⋱	X
cana-4515	329	66	⋱	⋱	X
cana-4515	329	67	⋱	⋱	X
cana-4515	329	68	⋱	⋱	X
cana-4515	329	69	⋱	⋱	X
cana-4515	329	70	⋱	⋱	X
cana-4515	329	71	⋱	⋱	X
cana-4515	329	72	0	0	NUM
cana-4515	329	73	⋮	⋮	NOUN
cana-4515	329	74	⋱	⋱	PUNCT
cana-4515	329	75	⋱	⋱	PUNCT
cana-4515	329	76	⋱	⋱	X
cana-4515	329	77	−1	−1	NOUN
cana-4515	329	78	⋱	⋱	SYM
cana-4515	329	79	⋱	⋱	X
cana-4515	329	80	⋱	⋱	SYM
cana-4515	329	81	4	4	NUM
cana-4515	329	82	−1	−1	NOUN
cana-4515	329	83	0	0	PUNCT
cana-4515	329	84	⋯	⋯	NOUN
cana-4515	329	85	0	0	NUM
cana-4515	329	86	−1	−1	NOUN
cana-4515	329	87	0	0	PUNCT
cana-4515	330	1	⋯	⋯	NOUN
cana-4515	330	2	⋯	⋯	PROPN
cana-4515	330	3	0	0	NUM
cana-4515	330	4	−1	−1	NOUN
cana-4515	330	5	3	3	NUM
cana-4515	331	1	|	|	ADV
cana-4515	331	2	|	|	ADV
cana-4515	332	1	|	|	ADV
cana-4515	332	2	(	(	PUNCT
cana-4515	332	3	2𝑚+4)∗(2𝑚+4	2𝑚+4)∗(2𝑚+4	NOUN
cana-4515	332	4	)	)	PUNCT
cana-4515	332	5	communications	communication	NOUN
cana-4515	332	6	on	on	ADP
cana-4515	332	7	applied	apply	VERB
cana-4515	332	8	nonlinear	nonlinear	ADJ
cana-4515	332	9	analysis	analysis	NOUN
cana-4515	332	10	issn	issn	NOUN
cana-4515	332	11	:	:	PUNCT
cana-4515	332	12	1074	1074	NUM
cana-4515	332	13	-	-	PUNCT
cana-4515	332	14	133x	133x	NUM
cana-4515	332	15	vol	vol	NOUN
cana-4515	332	16	32	32	NUM
cana-4515	332	17	no	no	NOUN
cana-4515	332	18	.	.	PUNCT
cana-4515	333	1	9s	9s	NUM
cana-4515	333	2	(	(	PUNCT
cana-4515	333	3	2025	2025	NUM
cana-4515	333	4	)	)	PUNCT
cana-4515	333	5	2300	2300	NUM
cana-4515	333	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4515	333	7	3	3	X
cana-4515	333	8	.	.	X
cana-4515	333	9	conclusion	conclusion	NOUN
cana-4515	333	10	an	an	DET
cana-4515	333	11	essential	essential	ADJ
cana-4515	333	12	invariant	invariant	ADJ
cana-4515	333	13	and	and	CCONJ
cana-4515	333	14	significant	significant	ADJ
cana-4515	333	15	indicator	indicator	NOUN
cana-4515	333	16	of	of	ADP
cana-4515	333	17	a	a	DET
cana-4515	333	18	network	network	NOUN
cana-4515	333	19	's	's	PART
cana-4515	333	20	dependability	dependability	NOUN
cana-4515	333	21	is	be	AUX
cana-4515	333	22	the	the	DET
cana-4515	333	23	number	number	NOUN
cana-4515	333	24	of	of	ADP
cana-4515	333	25	spanning	span	VERB
cana-4515	333	26	trees	tree	NOUN
cana-4515	333	27	in	in	ADP
cana-4515	333	28	graphs	graph	NOUN
cana-4515	333	29	or	or	CCONJ
cana-4515	333	30	networks	network	NOUN
cana-4515	333	31	.	.	PUNCT
cana-4515	334	1	in	in	ADP
cana-4515	334	2	this	this	DET
cana-4515	334	3	work	work	NOUN
cana-4515	334	4	,	,	PUNCT
cana-4515	334	5	we	we	PRON
cana-4515	334	6	used	use	VERB
cana-4515	334	7	matrix	matrix	NOUN
cana-4515	334	8	analysis	analysis	NOUN
cana-4515	334	9	and	and	CCONJ
cana-4515	334	10	linear	linear	NOUN
cana-4515	334	11	algebra	algebra	NOUN
cana-4515	334	12	to	to	PART
cana-4515	334	13	construct	construct	VERB
cana-4515	334	14	elementary	elementary	ADJ
cana-4515	334	15	formulae	formulae	NOUN
cana-4515	334	16	for	for	ADP
cana-4515	334	17	the	the	DET
cana-4515	334	18	complexity	complexity	NOUN
cana-4515	334	19	of	of	ADP
cana-4515	334	20	several	several	ADJ
cana-4515	334	21	kinds	kind	NOUN
cana-4515	334	22	of	of	ADP
cana-4515	334	23	special	special	ADJ
cana-4515	334	24	graphs	graph	NOUN
cana-4515	334	25	,	,	PUNCT
cana-4515	334	26	including	include	VERB
cana-4515	334	27	trapezoidal	trapezoidal	ADJ
cana-4515	334	28	graph	graph	NOUN
cana-4515	334	29	forms	form	NOUN
cana-4515	334	30	.	.	PUNCT
cana-4515	335	1	the	the	DET
cana-4515	335	2	derived	derive	VERB
cana-4515	335	3	expressions	expression	NOUN
cana-4515	335	4	provide	provide	VERB
cana-4515	335	5	a	a	DET
cana-4515	335	6	computationally	computationally	ADV
cana-4515	335	7	efficient	efficient	ADJ
cana-4515	335	8	approach	approach	NOUN
cana-4515	335	9	to	to	ADP
cana-4515	335	10	evaluating	evaluate	VERB
cana-4515	335	11	the	the	DET
cana-4515	335	12	structural	structural	ADJ
cana-4515	335	13	properties	property	NOUN
cana-4515	335	14	of	of	ADP
cana-4515	335	15	these	these	DET
cana-4515	335	16	graphs	graph	NOUN
cana-4515	335	17	.	.	PUNCT
cana-4515	336	1	furthermore	furthermore	ADV
cana-4515	336	2	,	,	PUNCT
cana-4515	336	3	our	our	PRON
cana-4515	336	4	results	result	NOUN
cana-4515	336	5	contribute	contribute	VERB
cana-4515	336	6	to	to	ADP
cana-4515	336	7	a	a	DET
cana-4515	336	8	deeper	deep	ADJ
cana-4515	336	9	understanding	understanding	NOUN
cana-4515	336	10	of	of	ADP
cana-4515	336	11	network	network	NOUN
cana-4515	336	12	resilience	resilience	NOUN
cana-4515	336	13	and	and	CCONJ
cana-4515	336	14	optimization	optimization	NOUN
cana-4515	336	15	,	,	PUNCT
cana-4515	336	16	which	which	PRON
cana-4515	336	17	can	can	AUX
cana-4515	336	18	be	be	AUX
cana-4515	336	19	beneficial	beneficial	ADJ
cana-4515	336	20	in	in	ADP
cana-4515	336	21	various	various	ADJ
cana-4515	336	22	applications	application	NOUN
cana-4515	336	23	,	,	PUNCT
cana-4515	336	24	such	such	ADJ
cana-4515	336	25	as	as	ADP
cana-4515	336	26	communication	communication	NOUN
cana-4515	336	27	networks	network	NOUN
cana-4515	336	28	,	,	PUNCT
cana-4515	336	29	circuit	circuit	NOUN
cana-4515	336	30	design	design	NOUN
cana-4515	336	31	,	,	PUNCT
cana-4515	336	32	and	and	CCONJ
cana-4515	336	33	combinatorial	combinatorial	ADJ
cana-4515	336	34	optimization	optimization	NOUN
cana-4515	336	35	.	.	PUNCT
cana-4515	337	1	references	reference	NOUN
cana-4515	337	2	[	[	X
cana-4515	337	3	1	1	NUM
cana-4515	337	4	]	]	X
cana-4515	337	5	c.j	c.j	PROPN
cana-4515	337	6	.	.	PROPN
cana-4515	337	7	colbourn	colbourn	PROPN
cana-4515	337	8	,	,	PUNCT
cana-4515	337	9	the	the	DET
cana-4515	337	10	combinatorics	combinatoric	NOUN
cana-4515	337	11	of	of	ADP
cana-4515	337	12	network	network	NOUN
cana-4515	337	13	reliability	reliability	NOUN
cana-4515	337	14	,	,	PUNCT
cana-4515	337	15	oxford	oxford	PROPN
cana-4515	337	16	university	university	PROPN
cana-4515	337	17	press	press	NOUN
cana-4515	337	18	,	,	PUNCT
cana-4515	337	19	new	new	PROPN
cana-4515	337	20	york	york	PROPN
cana-4515	337	21	,	,	PUNCT
cana-4515	337	22	1980	1980	NUM
cana-4515	337	23	.	.	PUNCT
cana-4515	338	1	[	[	X
cana-4515	338	2	2	2	X
cana-4515	338	3	]	]	PUNCT
cana-4515	338	4	w.	w.	PROPN
cana-4515	338	5	myrvold	myrvold	PROPN
cana-4515	338	6	,	,	PUNCT
cana-4515	338	7	k.h	k.h	PROPN
cana-4515	338	8	.	.	PROPN
cana-4515	338	9	cheung	cheung	PROPN
cana-4515	338	10	,	,	PUNCT
cana-4515	338	11	l.b	l.b	PROPN
cana-4515	338	12	.	.	PROPN
cana-4515	338	13	page	page	NOUN
cana-4515	338	14	,	,	PUNCT
cana-4515	338	15	j.e	j.e	PROPN
cana-4515	338	16	.	.	PROPN
cana-4515	338	17	perry	perry	PROPN
cana-4515	338	18	,	,	PUNCT
cana-4515	338	19	"	"	PUNCT
cana-4515	338	20	uniformly	uniformly	ADV
cana-4515	338	21	-	-	PUNCT
cana-4515	338	22	most	most	ADV
cana-4515	338	23	reliable	reliable	ADJ
cana-4515	338	24	networks	network	NOUN
cana-4515	338	25	do	do	AUX
cana-4515	338	26	not	not	PART
cana-4515	338	27	always	always	ADV
cana-4515	338	28	exist	exist	VERB
cana-4515	338	29	,	,	PUNCT
cana-4515	338	30	"	"	PUNCT
cana-4515	338	31	networks	network	NOUN
cana-4515	338	32	,	,	PUNCT
cana-4515	338	33	vol	vol	NOUN
cana-4515	338	34	.	.	PROPN
cana-4515	338	35	21	21	NUM
cana-4515	338	36	,	,	PUNCT
cana-4515	338	37	pp	pp	ADJ
cana-4515	338	38	.	.	PUNCT
cana-4515	339	1	417–419	417–419	NUM
cana-4515	339	2	,	,	PUNCT
cana-4515	339	3	1991	1991	NUM
cana-4515	339	4	.	.	PUNCT
cana-4515	340	1	[	[	X
cana-4515	340	2	3	3	X
cana-4515	340	3	]	]	X
cana-4515	340	4	l.	l.	PROPN
cana-4515	340	5	peling	peling	PROPN
cana-4515	340	6	,	,	PUNCT
cana-4515	340	7	f.	f.	PROPN
cana-4515	340	8	boesch	boesch	PROPN
cana-4515	340	9	,	,	PUNCT
cana-4515	340	10	c.	c.	PROPN
cana-4515	340	11	suffel	suffel	PROPN
cana-4515	340	12	,	,	PUNCT
cana-4515	340	13	"	"	PUNCT
cana-4515	340	14	on	on	ADP
cana-4515	340	15	the	the	DET
cana-4515	340	16	characterization	characterization	NOUN
cana-4515	340	17	of	of	ADP
cana-4515	340	18	graphs	graph	NOUN
cana-4515	340	19	with	with	ADP
cana-4515	340	20	maximum	maximum	ADJ
cana-4515	340	21	number	number	NOUN
cana-4515	340	22	of	of	ADP
cana-4515	340	23	spanning	span	VERB
cana-4515	340	24	trees	tree	NOUN
cana-4515	340	25	,	,	PUNCT
cana-4515	340	26	"	"	PUNCT
cana-4515	340	27	discrete	discrete	ADJ
cana-4515	340	28	mathematics	mathematic	NOUN
cana-4515	340	29	,	,	PUNCT
cana-4515	340	30	vol	vol	NOUN
cana-4515	340	31	.	.	PROPN
cana-4515	340	32	179	179	NUM
cana-4515	340	33	,	,	PUNCT
cana-4515	340	34	pp	pp	ADJ
cana-4515	340	35	.	.	PUNCT
cana-4515	341	1	155–166	155–166	NUM
cana-4515	341	2	,	,	PUNCT
cana-4515	341	3	1998	1998	NUM
cana-4515	341	4	.	.	PUNCT
cana-4515	342	1	[	[	X
cana-4515	342	2	4	4	NUM
cana-4515	342	3	]	]	SYM
cana-4515	342	4	t.j.n	t.j.n	NOUN
cana-4515	342	5	.	.	PUNCT
cana-4515	342	6	brown	brown	PROPN
cana-4515	342	7	,	,	PUNCT
cana-4515	342	8	r.b	r.b	PROPN
cana-4515	342	9	.	.	PROPN
cana-4515	342	10	mallion	mallion	PROPN
cana-4515	342	11	,	,	PUNCT
cana-4515	342	12	p.	p.	PROPN
cana-4515	342	13	pollak	pollak	PROPN
cana-4515	342	14	,	,	PUNCT
cana-4515	342	15	a.	a.	PROPN
cana-4515	342	16	roth	roth	PROPN
cana-4515	342	17	,	,	PUNCT
cana-4515	342	18	"	"	PUNCT
cana-4515	342	19	some	some	DET
cana-4515	342	20	methods	method	NOUN
cana-4515	342	21	for	for	ADP
cana-4515	342	22	counting	count	VERB
cana-4515	342	23	the	the	DET
cana-4515	342	24	spanning	span	VERB
cana-4515	342	25	trees	tree	NOUN
cana-4515	342	26	in	in	ADP
cana-4515	342	27	labeled	label	VERB
cana-4515	342	28	molecular	molecular	ADJ
cana-4515	342	29	graphs	graph	NOUN
cana-4515	342	30	,	,	PUNCT
cana-4515	342	31	examined	examine	VERB
cana-4515	342	32	in	in	ADP
cana-4515	342	33	relation	relation	NOUN
cana-4515	342	34	to	to	ADP
cana-4515	342	35	certain	certain	ADJ
cana-4515	342	36	fullerenes	fullerene	NOUN
cana-4515	342	37	,	,	PUNCT
cana-4515	342	38	"	"	PUNCT
cana-4515	342	39	discrete	discrete	ADJ
cana-4515	342	40	mathematics	mathematic	NOUN
cana-4515	342	41	,	,	PUNCT
cana-4515	342	42	vol	vol	NOUN
cana-4515	342	43	.	.	PROPN
cana-4515	342	44	67	67	NUM
cana-4515	342	45	,	,	PUNCT
cana-4515	342	46	pp	pp	ADJ
cana-4515	342	47	.	.	PUNCT
cana-4515	343	1	51–66	51–66	NUM
cana-4515	343	2	,	,	PUNCT
cana-4515	343	3	1996	1996	NUM
cana-4515	343	4	.	.	PUNCT
cana-4515	344	1	[	[	X
cana-4515	344	2	5	5	X
cana-4515	344	3	]	]	PUNCT
cana-4515	344	4	w.	w.	PROPN
cana-4515	344	5	moon	moon	PROPN
cana-4515	344	6	,	,	PUNCT
cana-4515	344	7	"	"	PUNCT
cana-4515	344	8	enumerating	enumerate	VERB
cana-4515	344	9	labeled	label	VERB
cana-4515	344	10	trees	tree	NOUN
cana-4515	344	11	,	,	PUNCT
cana-4515	344	12	"	"	PUNCT
cana-4515	344	13	in	in	ADP
cana-4515	344	14	graph	graph	NOUN
cana-4515	344	15	theory	theory	NOUN
cana-4515	344	16	and	and	CCONJ
cana-4515	344	17	theoretical	theoretical	ADJ
cana-4515	344	18	physics	physics	NOUN
cana-4515	344	19	,	,	PUNCT
cana-4515	344	20	f.	f.	PROPN
cana-4515	344	21	harary	harary	PROPN
cana-4515	344	22	,	,	PUNCT
cana-4515	344	23	ed	ed	NOUN
cana-4515	344	24	.	.	PROPN
cana-4515	344	25	1967	1967	NUM
cana-4515	344	26	,	,	PUNCT
cana-4515	344	27	pp	pp	ADP
cana-4515	344	28	.	.	PUNCT
cana-4515	345	1	261–271	261–271	NUM
cana-4515	345	2	.	.	PUNCT
cana-4515	346	1	[	[	X
cana-4515	346	2	6	6	NUM
cana-4515	346	3	]	]	X
cana-4515	346	4	g.g	g.g	PROPN
cana-4515	346	5	.	.	PROPN
cana-4515	346	6	kirchhoff	kirchhoff	PROPN
cana-4515	346	7	,	,	PUNCT
cana-4515	346	8	"	"	PUNCT
cana-4515	346	9	über	über	NOUN
cana-4515	346	10	die	die	PROPN
cana-4515	346	11	auflösung	auflösung	PROPN
cana-4515	346	12	der	der	ADJ
cana-4515	346	13	gleichungen	gleichungen	NOUN
cana-4515	346	14	,	,	PUNCT
cana-4515	346	15	auf	auf	PROPN
cana-4515	346	16	welche	welche	PROPN
cana-4515	346	17	man	man	PROPN
cana-4515	346	18	bei	bei	PROPN
cana-4515	346	19	der	der	ADJ
cana-4515	346	20	untersuchung	untersuchung	ADJ
cana-4515	346	21	der	der	PROPN
cana-4515	347	1	linearen	linearen	PROPN
cana-4515	347	2	verteilung	verteilung	PROPN
cana-4515	347	3	galvanischer	galvanischer	ADJ
cana-4515	347	4	ströme	ströme	PROPN
cana-4515	347	5	geführt	geführt	PROPN
cana-4515	347	6	wird	wird	PROPN
cana-4515	347	7	,	,	PUNCT
cana-4515	347	8	"	"	PUNCT
cana-4515	347	9	annalen	annalen	PROPN
cana-4515	347	10	der	der	NOUN
cana-4515	347	11	physik	physik	PROPN
cana-4515	347	12	und	und	VERB
cana-4515	347	13	chemie	chemie	PROPN
cana-4515	347	14	,	,	PUNCT
cana-4515	347	15	vol	vol	NOUN
cana-4515	347	16	.	.	PROPN
cana-4515	347	17	72	72	NUM
cana-4515	347	18	,	,	PUNCT
cana-4515	347	19	pp	pp	ADJ
cana-4515	347	20	.	.	PUNCT
cana-4515	348	1	497–508	497–508	NUM
cana-4515	348	2	,	,	PUNCT
cana-4515	348	3	1847	1847	NUM
cana-4515	348	4	.	.	PUNCT
cana-4515	349	1	[	[	X
cana-4515	349	2	7	7	X
cana-4515	349	3	]	]	X
cana-4515	349	4	a.k	a.k	PROPN
cana-4515	349	5	.	.	PROPN
cana-4515	349	6	kelmans	kelmans	PROPN
cana-4515	349	7	,	,	PUNCT
cana-4515	349	8	v.m	v.m	PROPN
cana-4515	349	9	.	.	PROPN
cana-4515	349	10	chelnokov	chelnokov	PROPN
cana-4515	349	11	,	,	PUNCT
cana-4515	349	12	"	"	PUNCT
cana-4515	349	13	a	a	DET
cana-4515	349	14	certain	certain	ADJ
cana-4515	349	15	polynomial	polynomial	NOUN
cana-4515	349	16	of	of	ADP
cana-4515	349	17	a	a	DET
cana-4515	349	18	graph	graph	NOUN
cana-4515	349	19	and	and	CCONJ
cana-4515	349	20	graphs	graph	NOUN
cana-4515	349	21	with	with	ADP
cana-4515	349	22	an	an	DET
cana-4515	349	23	extreme	extreme	ADJ
cana-4515	349	24	number	number	NOUN
cana-4515	349	25	of	of	ADP
cana-4515	349	26	trees	tree	NOUN
cana-4515	349	27	,	,	PUNCT
cana-4515	349	28	"	"	PUNCT
cana-4515	349	29	journal	journal	NOUN
cana-4515	349	30	of	of	ADP
cana-4515	349	31	combinatorial	combinatorial	ADJ
cana-4515	349	32	theory	theory	NOUN
cana-4515	349	33	,	,	PUNCT
cana-4515	349	34	series	series	PROPN
cana-4515	349	35	b	b	PROPN
cana-4515	349	36	,	,	PUNCT
cana-4515	349	37	vol	vol	NOUN
cana-4515	349	38	.	.	PROPN
cana-4515	349	39	16	16	NUM
cana-4515	349	40	,	,	PUNCT
cana-4515	349	41	pp	pp	ADJ
cana-4515	349	42	.	.	PUNCT
cana-4515	350	1	197–214	197–214	NUM
cana-4515	350	2	,	,	PUNCT
cana-4515	350	3	1974	1974	NUM
cana-4515	350	4	.	.	PUNCT
cana-4515	351	1	[	[	X
cana-4515	351	2	8	8	NUM
cana-4515	351	3	]	]	X
cana-4515	351	4	g.a	g.a	PROPN
cana-4515	351	5	.	.	PROPN
cana-4515	351	6	cayley	cayley	PROPN
cana-4515	351	7	,	,	PUNCT
cana-4515	351	8	"	"	PUNCT
cana-4515	351	9	a	a	DET
cana-4515	351	10	theorem	theorem	NOUN
cana-4515	351	11	on	on	ADP
cana-4515	351	12	trees	tree	NOUN
cana-4515	351	13	,	,	PUNCT
cana-4515	351	14	"	"	PUNCT
cana-4515	351	15	quarterly	quarterly	ADJ
cana-4515	351	16	journal	journal	NOUN
cana-4515	351	17	of	of	ADP
cana-4515	351	18	mathematics	mathematic	NOUN
cana-4515	351	19	,	,	PUNCT
cana-4515	351	20	vol	vol	NOUN
cana-4515	351	21	.	.	PROPN
cana-4515	351	22	23	23	NUM
cana-4515	351	23	,	,	PUNCT
cana-4515	351	24	pp	pp	ADJ
cana-4515	351	25	.	.	PUNCT
cana-4515	352	1	276–378	276–378	NUM
cana-4515	352	2	,	,	PUNCT
cana-4515	352	3	1889	1889	NUM
cana-4515	352	4	.	.	PUNCT
cana-4515	353	1	[	[	X
cana-4515	353	2	9	9	NUM
cana-4515	353	3	]	]	PUNCT
cana-4515	353	4	l.	l.	PROPN
cana-4515	353	5	clark	clark	PROPN
cana-4515	353	6	,	,	PUNCT
cana-4515	353	7	"	"	PUNCT
cana-4515	353	8	on	on	ADP
cana-4515	353	9	the	the	DET
cana-4515	353	10	enumeration	enumeration	NOUN
cana-4515	353	11	of	of	ADP
cana-4515	353	12	multipartite	multipartite	ADJ
cana-4515	353	13	spanning	span	VERB
cana-4515	353	14	trees	tree	NOUN
cana-4515	353	15	of	of	ADP
cana-4515	353	16	the	the	DET
cana-4515	353	17	complete	complete	ADJ
cana-4515	353	18	graph	graph	NOUN
cana-4515	353	19	,	,	PUNCT
cana-4515	353	20	"	"	PUNCT
cana-4515	353	21	bulletin	bulletin	NOUN
cana-4515	353	22	of	of	ADP
cana-4515	353	23	the	the	DET
cana-4515	353	24	ica	ica	PROPN
cana-4515	353	25	,	,	PUNCT
cana-4515	353	26	vol	vol	NOUN
cana-4515	353	27	.	.	PROPN
cana-4515	353	28	38	38	NUM
cana-4515	353	29	,	,	PUNCT
cana-4515	353	30	pp	pp	ADJ
cana-4515	353	31	.	.	PUNCT
cana-4515	354	1	50–60	50–60	NOUN
cana-4515	354	2	,	,	PUNCT
cana-4515	354	3	2003	2003	NUM
cana-4515	354	4	.	.	PUNCT
cana-4515	355	1	[	[	X
cana-4515	355	2	10	10	NUM
cana-4515	355	3	]	]	X
cana-4515	355	4	n.s	n.s	PROPN
cana-4515	355	5	.	.	PROPN
cana-4515	355	6	qiao	qiao	PROPN
cana-4515	355	7	,	,	PUNCT
cana-4515	355	8	b.	b.	PROPN
cana-4515	355	9	chen	chen	PROPN
cana-4515	355	10	,	,	PUNCT
cana-4515	355	11	"	"	PUNCT
cana-4515	355	12	the	the	DET
cana-4515	355	13	number	number	NOUN
cana-4515	355	14	of	of	ADP
cana-4515	355	15	spanning	span	VERB
cana-4515	355	16	trees	tree	NOUN
cana-4515	355	17	and	and	CCONJ
cana-4515	355	18	chains	chain	NOUN
cana-4515	355	19	of	of	ADP
cana-4515	355	20	graphs	graph	NOUN
cana-4515	355	21	,	,	PUNCT
cana-4515	355	22	"	"	PUNCT
cana-4515	355	23	journal	journal	NOUN
cana-4515	355	24	of	of	ADP
cana-4515	355	25	applied	apply	VERB
cana-4515	355	26	mathematics	mathematic	NOUN
cana-4515	355	27	,	,	PUNCT
cana-4515	355	28	vol	vol	NOUN
cana-4515	355	29	.	.	PROPN
cana-4515	355	30	9	9	NUM
cana-4515	355	31	,	,	PUNCT
cana-4515	355	32	pp	pp	ADJ
cana-4515	355	33	.	.	PUNCT
cana-4515	356	1	10–16	10–16	NUM
cana-4515	356	2	,	,	PUNCT
cana-4515	356	3	2007	2007	NUM
cana-4515	356	4	.	.	PUNCT
cana-4515	357	1	[	[	X
cana-4515	357	2	11	11	NUM
cana-4515	357	3	]	]	PUNCT
cana-4515	357	4	x.	x.	PROPN
cana-4515	357	5	zhang	zhang	PROPN
cana-4515	357	6	,	,	PUNCT
cana-4515	357	7	g.	g.	PROPN
cana-4515	357	8	yang	yang	PROPN
cana-4515	357	9	,	,	PUNCT
cana-4515	357	10	c.	c.	PROPN
cana-4515	357	11	he	he	PROPN
cana-4515	357	12	,	,	PUNCT
cana-4515	357	13	r.	r.	PROPN
cana-4515	357	14	klasing	klasing	PROPN
cana-4515	357	15	,	,	PUNCT
cana-4515	357	16	and	and	CCONJ
cana-4515	357	17	y.	y.	PROPN
cana-4515	357	18	mao	mao	PROPN
cana-4515	357	19	,	,	PUNCT
cana-4515	357	20	"	"	PUNCT
cana-4515	357	21	the	the	DET
cana-4515	357	22	number	number	NOUN
cana-4515	357	23	of	of	ADP
cana-4515	357	24	spanning	span	VERB
cana-4515	357	25	trees	tree	NOUN
cana-4515	357	26	for	for	ADP
cana-4515	357	27	sierpiński	sierpiński	ADJ
cana-4515	357	28	graphs	graph	NOUN
cana-4515	357	29	and	and	CCONJ
cana-4515	357	30	data	datum	NOUN
cana-4515	357	31	center	center	NOUN
cana-4515	357	32	networks	network	NOUN
cana-4515	357	33	,	,	PUNCT
cana-4515	357	34	"	"	PUNCT
cana-4515	357	35	information	information	NOUN
cana-4515	357	36	and	and	CCONJ
cana-4515	357	37	computation	computation	NOUN
cana-4515	357	38	,	,	PUNCT
cana-4515	357	39	vol	vol	NOUN
cana-4515	357	40	.	.	PROPN
cana-4515	357	41	105194	105194	NUM
cana-4515	357	42	,	,	PUNCT
cana-4515	357	43	2024	2024	NUM
cana-4515	357	44	.	.	PUNCT
cana-4515	358	1	[	[	X
cana-4515	358	2	12	12	NUM
cana-4515	358	3	]	]	PUNCT
cana-4515	358	4	z.	z.	PROPN
cana-4515	358	5	luo	luo	PROPN
cana-4515	358	6	and	and	CCONJ
cana-4515	358	7	k.	k.	PROPN
cana-4515	358	8	xu	xu	PROPN
cana-4515	358	9	,	,	PUNCT
cana-4515	358	10	"	"	PUNCT
cana-4515	358	11	computing	compute	VERB
cana-4515	358	12	the	the	DET
cana-4515	358	13	number	number	NOUN
cana-4515	358	14	and	and	CCONJ
cana-4515	358	15	average	average	ADJ
cana-4515	358	16	size	size	NOUN
cana-4515	358	17	of	of	ADP
cana-4515	358	18	connected	connected	ADJ
cana-4515	358	19	sets	set	NOUN
cana-4515	358	20	in	in	ADP
cana-4515	358	21	planar	planar	ADJ
cana-4515	358	22	3	3	NUM
cana-4515	358	23	-	-	PUNCT
cana-4515	358	24	trees	tree	NOUN
cana-4515	358	25	,	,	PUNCT
cana-4515	358	26	"	"	PUNCT
cana-4515	358	27	graphs	graph	NOUN
cana-4515	358	28	and	and	CCONJ
cana-4515	358	29	combinatorics	combinatoric	NOUN
cana-4515	358	30	,	,	PUNCT
cana-4515	358	31	vol	vol	NOUN
cana-4515	358	32	.	.	PROPN
cana-4515	358	33	40	40	NUM
cana-4515	358	34	,	,	PUNCT
cana-4515	358	35	no	no	INTJ
cana-4515	358	36	.	.	NOUN
cana-4515	358	37	3	3	NUM
cana-4515	358	38	,	,	PUNCT
cana-4515	358	39	pp	pp	ADJ
cana-4515	358	40	.	.	PUNCT
cana-4515	359	1	1	1	NUM
cana-4515	359	2	-	-	SYM
cana-4515	359	3	18	18	NUM
cana-4515	359	4	,	,	PUNCT
cana-4515	359	5	2024	2024	NUM
cana-4515	359	6	.	.	PUNCT
cana-4515	360	1	[	[	X
cana-4515	360	2	13	13	NUM
cana-4515	360	3	]	]	PUNCT
cana-4515	360	4	r.	r.	PROPN
cana-4515	360	5	sotirov	sotirov	PROPN
cana-4515	360	6	and	and	CCONJ
cana-4515	360	7	z.	z.	PROPN
cana-4515	360	8	verchére	verchére	PROPN
cana-4515	360	9	,	,	PUNCT
cana-4515	360	10	"	"	PUNCT
cana-4515	360	11	the	the	DET
cana-4515	360	12	quadratic	quadratic	ADJ
cana-4515	360	13	minimum	minimum	ADJ
cana-4515	360	14	spanning	span	VERB
cana-4515	360	15	tree	tree	NOUN
cana-4515	360	16	problem	problem	NOUN
cana-4515	360	17	:	:	PUNCT
cana-4515	360	18	lower	low	ADJ
cana-4515	360	19	bounds	bound	NOUN
cana-4515	360	20	via	via	ADP
cana-4515	360	21	extended	extended	ADJ
cana-4515	360	22	formulations	formulation	NOUN
cana-4515	360	23	,	,	PUNCT
cana-4515	360	24	"	"	PUNCT
cana-4515	360	25	vietnam	vietnam	PROPN
cana-4515	360	26	journal	journal	NOUN
cana-4515	360	27	of	of	ADP
cana-4515	360	28	mathematics	mathematic	NOUN
cana-4515	360	29	,	,	PUNCT
cana-4515	360	30	pp	pp	ADJ
cana-4515	360	31	.	.	PUNCT
cana-4515	361	1	1	1	NUM
cana-4515	361	2	-	-	SYM
cana-4515	361	3	22	22	NUM
cana-4515	361	4	,	,	PUNCT
cana-4515	361	5	2024	2024	NUM
cana-4515	361	6	.	.	PUNCT
cana-4515	362	1	[	[	X
cana-4515	362	2	14	14	NUM
cana-4515	362	3	]	]	X
cana-4515	362	4	b.	b.	PROPN
cana-4515	362	5	mohamed	mohamed	PROPN
cana-4515	362	6	and	and	CCONJ
cana-4515	362	7	m.	m.	PROPN
cana-4515	362	8	amin	amin	PROPN
cana-4515	362	9	,	,	PUNCT
cana-4515	362	10	"	"	PUNCT
cana-4515	362	11	complexity	complexity	NOUN
cana-4515	362	12	of	of	ADP
cana-4515	362	13	some	some	DET
cana-4515	362	14	types	type	NOUN
cana-4515	362	15	of	of	ADP
cana-4515	362	16	cyclic	cyclic	ADJ
cana-4515	362	17	snake	snake	NOUN
cana-4515	362	18	graphs	graph	NOUN
cana-4515	362	19	,	,	PUNCT
cana-4515	362	20	"	"	PUNCT
cana-4515	362	21	mathematical	mathematical	ADJ
cana-4515	362	22	modelling	modelling	NOUN
cana-4515	362	23	,	,	PUNCT
cana-4515	362	24	vol	vol	NOUN
cana-4515	362	25	.	.	NOUN
cana-4515	362	26	9	9	NUM
cana-4515	362	27	,	,	PUNCT
cana-4515	362	28	no	no	INTJ
cana-4515	362	29	.	.	NOUN
cana-4515	362	30	1	1	NUM
cana-4515	362	31	,	,	PUNCT
cana-4515	362	32	pp	pp	ADJ
cana-4515	362	33	.	.	PUNCT
cana-4515	363	1	14	14	NUM
cana-4515	363	2	-	-	SYM
cana-4515	363	3	22	22	NUM
cana-4515	363	4	,	,	PUNCT
cana-4515	363	5	2024	2024	NUM
cana-4515	363	6	.	.	PUNCT
cana-4515	364	1	communications	communication	NOUN
cana-4515	364	2	on	on	ADP
cana-4515	364	3	applied	apply	VERB
cana-4515	364	4	nonlinear	nonlinear	ADJ
cana-4515	364	5	analysis	analysis	NOUN
cana-4515	364	6	issn	issn	NOUN
cana-4515	364	7	:	:	PUNCT
cana-4515	364	8	1074	1074	NUM
cana-4515	364	9	-	-	PUNCT
cana-4515	364	10	133x	133x	NUM
cana-4515	364	11	vol	vol	NOUN
cana-4515	364	12	32	32	NUM
cana-4515	364	13	no	no	NOUN
cana-4515	364	14	.	.	PUNCT
cana-4515	365	1	9s	9s	NUM
cana-4515	365	2	(	(	PUNCT
cana-4515	365	3	2025	2025	NUM
cana-4515	365	4	)	)	PUNCT
cana-4515	365	5	2301	2301	NUM
cana-4515	365	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4515	366	1	[	[	X
cana-4515	366	2	15	15	NUM
cana-4515	366	3	]	]	X
cana-4515	366	4	s.	s.	PROPN
cana-4515	366	5	n.	n.	PROPN
cana-4515	366	6	daoud	daoud	PROPN
cana-4515	366	7	,	,	PUNCT
cana-4515	366	8	"	"	PUNCT
cana-4515	366	9	number	number	NOUN
cana-4515	366	10	of	of	ADP
cana-4515	366	11	spanning	span	VERB
cana-4515	366	12	trees	tree	NOUN
cana-4515	366	13	of	of	ADP
cana-4515	366	14	cartesian	cartesian	ADJ
cana-4515	366	15	and	and	CCONJ
cana-4515	366	16	composition	composition	NOUN
cana-4515	366	17	products	product	NOUN
cana-4515	366	18	of	of	ADP
cana-4515	366	19	graphs	graph	NOUN
cana-4515	366	20	and	and	CCONJ
cana-4515	366	21	chebyshev	chebyshev	NOUN
cana-4515	366	22	polynomials	polynomial	NOUN
cana-4515	366	23	,	,	PUNCT
cana-4515	366	24	"	"	PUNCT
cana-4515	366	25	ieee	ieee	NOUN
cana-4515	366	26	access	access	NOUN
cana-4515	366	27	,	,	PUNCT
cana-4515	366	28	vol	vol	NOUN
cana-4515	366	29	.	.	PROPN
cana-4515	367	1	7	7	NUM
cana-4515	367	2	,	,	PUNCT
cana-4515	367	3	pp	pp	ADJ
cana-4515	367	4	.	.	PUNCT
cana-4515	368	1	71142	71142	NUM
cana-4515	368	2	-	-	SYM
cana-4515	368	3	71157	71157	NUM
cana-4515	368	4	,	,	PUNCT
cana-4515	368	5	2019	2019	NUM
cana-4515	368	6	.	.	PUNCT
cana-4515	369	1	[	[	X
cana-4515	369	2	16	16	NUM
cana-4515	369	3	]	]	PUNCT
cana-4515	369	4	a.	a.	NOUN
cana-4515	369	5	salihu	salihu	PROPN
cana-4515	369	6	,	,	PUNCT
cana-4515	369	7	h.	h.	PROPN
cana-4515	369	8	snopce	snopce	PROPN
cana-4515	369	9	,	,	PUNCT
cana-4515	369	10	a.	a.	PROPN
cana-4515	369	11	luma	luma	PROPN
cana-4515	369	12	,	,	PUNCT
cana-4515	369	13	and	and	CCONJ
cana-4515	369	14	j.	j.	PROPN
cana-4515	369	15	ajdari	ajdari	PROPN
cana-4515	369	16	,	,	PUNCT
cana-4515	369	17	"	"	PUNCT
cana-4515	369	18	optimization	optimization	NOUN
cana-4515	369	19	of	of	ADP
cana-4515	369	20	dodgson	dodgson	NOUN
cana-4515	369	21	's	's	PART
cana-4515	369	22	condensation	condensation	NOUN
cana-4515	369	23	method	method	NOUN
cana-4515	369	24	for	for	ADP
cana-4515	369	25	rectangular	rectangular	ADJ
cana-4515	369	26	determinant	determinant	ADJ
cana-4515	369	27	calculations	calculation	NOUN
cana-4515	369	28	,	,	PUNCT
cana-4515	369	29	"	"	PUNCT
cana-4515	369	30	advanced	advanced	ADJ
cana-4515	369	31	mathematical	mathematical	ADJ
cana-4515	369	32	models	model	NOUN
cana-4515	369	33	&	&	CCONJ
cana-4515	369	34	applications	application	NOUN
cana-4515	369	35	,	,	PUNCT
cana-4515	369	36	vol	vol	NOUN
cana-4515	369	37	.	.	PROPN
cana-4515	369	38	7	7	NUM
cana-4515	369	39	,	,	PUNCT
cana-4515	369	40	no	no	INTJ
cana-4515	369	41	.	.	NOUN
cana-4515	369	42	3	3	NUM
cana-4515	369	43	,	,	PUNCT
cana-4515	369	44	pp	pp	ADJ
cana-4515	369	45	.	.	PUNCT
cana-4515	369	46	264	264	NUM
cana-4515	369	47	-	-	SYM
cana-4515	369	48	274	274	NUM
cana-4515	369	49	,	,	PUNCT
cana-4515	369	50	2022	2022	NUM
cana-4515	369	51	.	.	PUNCT
cana-4515	370	1	[	[	X
cana-4515	370	2	17	17	NUM
cana-4515	370	3	]	]	X
cana-4515	370	4	r.	r.	PROPN
cana-4515	370	5	b.	b.	PROPN
cana-4515	370	6	armistead	armistead	PROPN
cana-4515	370	7	,	,	PUNCT
cana-4515	370	8	"	"	PUNCT
cana-4515	370	9	mpi	mpi	ADJ
cana-4515	370	10	-	-	PUNCT
cana-4515	370	11	based	base	VERB
cana-4515	370	12	parallel	parallel	ADJ
cana-4515	370	13	solution	solution	NOUN
cana-4515	370	14	of	of	ADP
cana-4515	370	15	sparse	sparse	ADJ
cana-4515	370	16	linear	linear	ADJ
cana-4515	370	17	systems	system	NOUN
cana-4515	370	18	using	use	VERB
cana-4515	370	19	chio	chio	PROPN
cana-4515	370	20	's	's	PART
cana-4515	370	21	condensation	condensation	NOUN
cana-4515	370	22	algorithm	algorithm	NOUN
cana-4515	370	23	and	and	CCONJ
cana-4515	370	24	test	test	NOUN
cana-4515	370	25	data	datum	NOUN
cana-4515	370	26	from	from	ADP
cana-4515	370	27	power	power	NOUN
cana-4515	370	28	flow	flow	NOUN
cana-4515	370	29	analysis	analysis	NOUN
cana-4515	370	30	,	,	PUNCT
cana-4515	370	31	"	"	PUNCT
cana-4515	370	32	2010	2010	NUM
cana-4515	370	33	.	.	PUNCT
cana-4515	371	1	[	[	X
cana-4515	371	2	18	18	NUM
cana-4515	371	3	]	]	PUNCT
cana-4515	371	4	a.	a.	NOUN
cana-4515	371	5	salihu	salihu	PROPN
cana-4515	371	6	,	,	PUNCT
cana-4515	371	7	h.	h.	PROPN
cana-4515	371	8	snopçe	snopçe	PROPN
cana-4515	371	9	,	,	PUNCT
cana-4515	371	10	j.	j.	PROPN
cana-4515	371	11	ajdari	ajdari	PROPN
cana-4515	371	12	,	,	PUNCT
cana-4515	371	13	and	and	CCONJ
cana-4515	371	14	a.	a.	PROPN
cana-4515	371	15	luma	luma	PROPN
cana-4515	371	16	,	,	PUNCT
cana-4515	371	17	"	"	PUNCT
cana-4515	371	18	generalization	generalization	NOUN
cana-4515	371	19	of	of	ADP
cana-4515	371	20	dodgson	dodgson	NOUN
cana-4515	371	21	’s	’s	PART
cana-4515	371	22	condensation	condensation	NOUN
cana-4515	371	23	method	method	NOUN
cana-4515	371	24	for	for	ADP
cana-4515	371	25	calculating	calculate	VERB
cana-4515	371	26	determinant	determinant	ADJ
cana-4515	371	27	of	of	ADP
cana-4515	371	28	rectangular	rectangular	ADJ
cana-4515	371	29	matrices	matrix	NOUN
cana-4515	371	30	,	,	PUNCT
cana-4515	371	31	"	"	PUNCT
cana-4515	371	32	in	in	ADP
cana-4515	371	33	2022	2022	NUM
cana-4515	371	34	international	international	ADJ
cana-4515	371	35	conference	conference	NOUN
cana-4515	371	36	on	on	ADP
cana-4515	371	37	electrical	electrical	ADJ
cana-4515	371	38	,	,	PUNCT
cana-4515	371	39	computer	computer	NOUN
cana-4515	371	40	and	and	CCONJ
cana-4515	371	41	energy	energy	NOUN
cana-4515	371	42	technologies	technology	NOUN
cana-4515	371	43	(	(	PUNCT
cana-4515	371	44	icecet	icecet	PROPN
cana-4515	371	45	)	)	PUNCT
cana-4515	371	46	,	,	PUNCT
cana-4515	371	47	2022	2022	NUM
cana-4515	371	48	,	,	PUNCT
cana-4515	371	49	pp	pp	ADJ
cana-4515	371	50	.	.	PUNCT
cana-4515	372	1	1	1	NUM
cana-4515	372	2	-	-	SYM
cana-4515	372	3	6	6	NUM
cana-4515	372	4	.	.	PUNCT
cana-4515	373	1	[	[	X
cana-4515	373	2	19	19	NUM
cana-4515	373	3	]	]	X
cana-4515	373	4	g.	g.	PROPN
cana-4515	373	5	b.	b.	PROPN
cana-4515	373	6	mertzios	mertzios	PROPN
cana-4515	373	7	and	and	CCONJ
cana-4515	373	8	d.	d.	PROPN
cana-4515	373	9	g.	g.	PROPN
cana-4515	373	10	corneil	corneil	PROPN
cana-4515	373	11	,	,	PUNCT
cana-4515	373	12	"	"	PUNCT
cana-4515	373	13	vertex	vertex	NOUN
cana-4515	373	14	splitting	splitting	NOUN
cana-4515	373	15	and	and	CCONJ
cana-4515	373	16	the	the	DET
cana-4515	373	17	recognition	recognition	NOUN
cana-4515	373	18	of	of	ADP
cana-4515	373	19	trapezoid	trapezoid	ADJ
cana-4515	373	20	graphs	graph	NOUN
cana-4515	373	21	,	,	PUNCT
cana-4515	373	22	"	"	PUNCT
cana-4515	373	23	discrete	discrete	ADJ
cana-4515	373	24	applied	apply	VERB
cana-4515	373	25	mathematics	mathematic	NOUN
cana-4515	373	26	,	,	PUNCT
cana-4515	373	27	vol	vol	NOUN
cana-4515	373	28	.	.	PROPN
cana-4515	373	29	159	159	NUM
cana-4515	373	30	,	,	PUNCT
cana-4515	373	31	no	no	INTJ
cana-4515	373	32	.	.	NOUN
cana-4515	373	33	11	11	NUM
cana-4515	373	34	,	,	PUNCT
cana-4515	373	35	pp	pp	ADJ
cana-4515	373	36	.	.	PUNCT
cana-4515	374	1	1131	1131	NUM
cana-4515	374	2	-	-	SYM
cana-4515	374	3	1147	1147	NUM
cana-4515	374	4	,	,	PUNCT
cana-4515	374	5	2011	2011	NUM
cana-4515	374	6	.	.	PUNCT
cana-4515	375	1	[	[	X
cana-4515	375	2	20	20	NUM
cana-4515	375	3	]	]	PUNCT
cana-4515	375	4	h.	h.	PROPN
cana-4515	375	5	al	al	PROPN
cana-4515	375	6	-	-	PROPN
cana-4515	375	7	zoubi	zoubi	PROPN
cana-4515	375	8	,	,	PUNCT
cana-4515	375	9	h.	h.	PROPN
cana-4515	375	10	alzaareer	alzaareer	PROPN
cana-4515	375	11	,	,	PUNCT
cana-4515	375	12	a.	a.	NOUN
cana-4515	375	13	zraiqat	zraiqat	PROPN
cana-4515	375	14	,	,	PUNCT
cana-4515	375	15	t.	t.	NOUN
cana-4515	375	16	hamadneh	hamadneh	PROPN
cana-4515	375	17	,	,	PUNCT
cana-4515	375	18	and	and	CCONJ
cana-4515	375	19	w.	w.	PROPN
cana-4515	375	20	al	al	PROPN
cana-4515	375	21	-	-	PUNCT
cana-4515	375	22	mashaleh	mashaleh	NOUN
cana-4515	375	23	,	,	PUNCT
cana-4515	375	24	"	"	PUNCT
cana-4515	375	25	on	on	ADP
cana-4515	375	26	ruled	rule	VERB
cana-4515	375	27	surfaces	surface	NOUN
cana-4515	375	28	of	of	ADP
cana-4515	375	29	coordinate	coordinate	ADJ
cana-4515	375	30	finite	finite	ADJ
cana-4515	375	31	type	type	NOUN
cana-4515	375	32	,	,	PUNCT
cana-4515	375	33	"	"	PUNCT
cana-4515	375	34	wseas	wseas	NOUN
cana-4515	375	35	transactions	transaction	NOUN
cana-4515	375	36	on	on	ADP
cana-4515	375	37	mathematics	mathematic	NOUN
cana-4515	375	38	,	,	PUNCT
cana-4515	375	39	vol	vol	NOUN
cana-4515	375	40	.	.	PROPN
cana-4515	375	41	21	21	NUM
cana-4515	375	42	,	,	PUNCT
cana-4515	375	43	pp	pp	ADJ
cana-4515	375	44	.	.	PUNCT
cana-4515	376	1	765–769	765–769	NUM
cana-4515	376	2	,	,	PUNCT
cana-4515	376	3	2022	2022	NUM
cana-4515	376	4	.	.	PUNCT
cana-4515	377	1	[	[	X
cana-4515	377	2	21	21	NUM
cana-4515	377	3	]	]	X
cana-4515	377	4	i.	i.	PROPN
cana-4515	377	5	m.	m.	PROPN
cana-4515	377	6	batiha	batiha	PROPN
cana-4515	377	7	and	and	CCONJ
cana-4515	377	8	b.	b.	PROPN
cana-4515	377	9	mohamed	mohamed	PROPN
cana-4515	377	10	,	,	PUNCT
cana-4515	377	11	"	"	PUNCT
cana-4515	377	12	binary	binary	ADJ
cana-4515	377	13	rat	rat	NOUN
cana-4515	377	14	swarm	swarm	NOUN
cana-4515	377	15	optimizer	optimizer	NOUN
cana-4515	377	16	algorithm	algorithm	NOUN
cana-4515	377	17	for	for	ADP
cana-4515	377	18	computing	compute	VERB
cana-4515	377	19	independent	independent	ADJ
cana-4515	377	20	domination	domination	NOUN
cana-4515	377	21	metric	metric	ADJ
cana-4515	377	22	dimension	dimension	NOUN
cana-4515	377	23	problem	problem	NOUN
cana-4515	377	24	,	,	PUNCT
cana-4515	377	25	"	"	PUNCT
cana-4515	377	26	mathematical	mathematical	ADJ
cana-4515	377	27	models	model	NOUN
cana-4515	377	28	in	in	ADP
cana-4515	377	29	engineering	engineering	NOUN
cana-4515	377	30	,	,	PUNCT
cana-4515	377	31	vol	vol	NOUN
cana-4515	377	32	.	.	PROPN
cana-4515	378	1	10	10	NUM
cana-4515	378	2	,	,	PUNCT
cana-4515	378	3	no	no	INTJ
cana-4515	378	4	.	.	NOUN
cana-4515	378	5	3	3	NUM
cana-4515	378	6	,	,	PUNCT
cana-4515	378	7	pp	pp	ADJ
cana-4515	378	8	.	.	PUNCT
cana-4515	379	1	119–132	119–132	NUM
cana-4515	379	2	,	,	PUNCT
cana-4515	379	3	2024	2024	NUM
cana-4515	379	4	.	.	PUNCT
cana-4515	380	1	[	[	X
cana-4515	380	2	22	22	NUM
cana-4515	380	3	]	]	X
cana-4515	380	4	i.	i.	PROPN
cana-4515	380	5	m.	m.	PROPN
cana-4515	380	6	batiha	batiha	PROPN
cana-4515	380	7	,	,	PUNCT
cana-4515	380	8	b.	b.	PROPN
cana-4515	380	9	mohamed	mohamed	PROPN
cana-4515	380	10	,	,	PUNCT
cana-4515	380	11	and	and	CCONJ
cana-4515	380	12	i.	i.	PROPN
cana-4515	380	13	h.	h.	PROPN
cana-4515	380	14	jebril	jebril	PROPN
cana-4515	380	15	,	,	PUNCT
cana-4515	380	16	"	"	PUNCT
cana-4515	380	17	secure	secure	VERB
cana-4515	380	18	metric	metric	ADJ
cana-4515	380	19	dimension	dimension	NOUN
cana-4515	380	20	of	of	ADP
cana-4515	380	21	new	new	ADJ
cana-4515	380	22	classes	class	NOUN
cana-4515	380	23	of	of	ADP
cana-4515	380	24	graphs	graph	NOUN
cana-4515	380	25	,	,	PUNCT
cana-4515	380	26	"	"	PUNCT
cana-4515	380	27	mathematical	mathematical	ADJ
cana-4515	380	28	models	model	NOUN
cana-4515	380	29	in	in	ADP
cana-4515	380	30	engineering	engineering	NOUN
cana-4515	380	31	,	,	PUNCT
cana-4515	380	32	vol	vol	NOUN
cana-4515	380	33	.	.	PROPN
cana-4515	381	1	10	10	NUM
cana-4515	381	2	,	,	PUNCT
cana-4515	381	3	no	no	INTJ
cana-4515	381	4	.	.	NOUN
cana-4515	381	5	3	3	NUM
cana-4515	381	6	,	,	PUNCT
cana-4515	381	7	pp	pp	ADJ
cana-4515	381	8	.	.	PUNCT
cana-4515	382	1	161–167	161–167	NUM
cana-4515	382	2	,	,	PUNCT
cana-4515	382	3	2024	2024	NUM
cana-4515	382	4	.	.	PUNCT
cana-4515	383	1	[	[	X
cana-4515	383	2	23	23	NUM
cana-4515	383	3	]	]	X
cana-4515	383	4	i.	i.	PROPN
cana-4515	383	5	m.	m.	PROPN
cana-4515	383	6	batiha	batiha	PROPN
cana-4515	383	7	,	,	PUNCT
cana-4515	383	8	m.	m.	NOUN
cana-4515	383	9	amin	amin	PROPN
cana-4515	383	10	,	,	PUNCT
cana-4515	383	11	b.	b.	PROPN
cana-4515	383	12	mohamed	mohamed	PROPN
cana-4515	383	13	,	,	PUNCT
cana-4515	383	14	and	and	CCONJ
cana-4515	383	15	h.	h.	PROPN
cana-4515	383	16	i.	i.	PROPN
cana-4515	383	17	jebril	jebril	PROPN
cana-4515	383	18	,	,	PUNCT
cana-4515	383	19	"	"	PUNCT
cana-4515	383	20	connected	connect	VERB
cana-4515	383	21	metric	metric	ADJ
cana-4515	383	22	dimension	dimension	NOUN
cana-4515	383	23	of	of	ADP
cana-4515	383	24	the	the	DET
cana-4515	383	25	class	class	NOUN
cana-4515	383	26	of	of	ADP
cana-4515	383	27	ladder	ladder	NOUN
cana-4515	383	28	graphs	graph	NOUN
cana-4515	383	29	,	,	PUNCT
cana-4515	383	30	"	"	PUNCT
cana-4515	383	31	mathematical	mathematical	ADJ
cana-4515	383	32	models	model	NOUN
cana-4515	383	33	in	in	ADP
cana-4515	383	34	engineering	engineering	NOUN
cana-4515	383	35	,	,	PUNCT
cana-4515	383	36	vol	vol	NOUN
cana-4515	383	37	.	.	PROPN
cana-4515	383	38	10	10	NUM
cana-4515	383	39	,	,	PUNCT
cana-4515	383	40	pp	pp	ADJ
cana-4515	383	41	.	.	PUNCT
cana-4515	384	1	65–74	65–74	NUM
cana-4515	384	2	,	,	PUNCT
cana-4515	384	3	2024	2024	NUM
cana-4515	384	4	.	.	PUNCT
cana-4515	385	1	[	[	X
cana-4515	385	2	24	24	NUM
cana-4515	385	3	]	]	PUNCT
cana-4515	385	4	i.	i.	PROPN
cana-4515	385	5	m.	m.	PROPN
cana-4515	385	6	batiha	batiha	PROPN
cana-4515	385	7	,	,	PUNCT
cana-4515	385	8	n.	n.	PROPN
cana-4515	385	9	anakira	anakira	PROPN
cana-4515	385	10	,	,	PUNCT
cana-4515	385	11	a.	a.	NOUN
cana-4515	385	12	hashim	hashim	PROPN
cana-4515	385	13	,	,	PUNCT
cana-4515	385	14	and	and	CCONJ
cana-4515	385	15	b.	b.	PROPN
cana-4515	385	16	mohamed	mohamed	PROPN
cana-4515	385	17	,	,	PUNCT
cana-4515	385	18	"	"	PUNCT
cana-4515	385	19	a	a	DET
cana-4515	385	20	special	special	ADJ
cana-4515	385	21	graph	graph	NOUN
cana-4515	385	22	for	for	ADP
cana-4515	385	23	the	the	DET
cana-4515	385	24	connected	connected	ADJ
cana-4515	385	25	metric	metric	ADJ
cana-4515	385	26	dimension	dimension	NOUN
cana-4515	385	27	of	of	ADP
cana-4515	385	28	graphs	graph	NOUN
cana-4515	385	29	,	,	PUNCT
cana-4515	385	30	"	"	PUNCT
cana-4515	385	31	mathematical	mathematical	ADJ
cana-4515	385	32	models	model	NOUN
cana-4515	385	33	in	in	ADP
cana-4515	385	34	engineering	engineering	NOUN
cana-4515	385	35	,	,	PUNCT
cana-4515	385	36	vol	vol	NOUN
cana-4515	385	37	.	.	PROPN
cana-4515	385	38	10	10	NUM
cana-4515	385	39	,	,	PUNCT
cana-4515	385	40	pp	pp	ADJ
cana-4515	385	41	.	.	PUNCT
cana-4515	386	1	1–8	1–8	NUM
cana-4515	386	2	,	,	PUNCT
cana-4515	386	3	2024	2024	NUM
cana-4515	386	4	.	.	PUNCT
cana-4515	387	1	[	[	X
cana-4515	387	2	25	25	NUM
cana-4515	387	3	]	]	PUNCT
cana-4515	387	4	i.	i.	PROPN
cana-4515	387	5	m.	m.	PROPN
cana-4515	387	6	batiha	batiha	PROPN
cana-4515	387	7	,	,	PUNCT
cana-4515	387	8	n.	n.	PROPN
cana-4515	387	9	anakira	anakira	PROPN
cana-4515	387	10	,	,	PUNCT
cana-4515	387	11	and	and	CCONJ
cana-4515	387	12	b.	b.	PROPN
cana-4515	387	13	mohamed	mohamed	PROPN
cana-4515	387	14	,	,	PUNCT
cana-4515	387	15	"	"	PUNCT
cana-4515	387	16	algorithm	algorithm	NOUN
cana-4515	387	17	for	for	ADP
cana-4515	387	18	finding	find	VERB
cana-4515	387	19	domination	domination	NOUN
cana-4515	387	20	resolving	resolve	VERB
cana-4515	387	21	number	number	NOUN
cana-4515	387	22	of	of	ADP
cana-4515	387	23	a	a	DET
cana-4515	387	24	graph	graph	NOUN
cana-4515	387	25	,	,	PUNCT
cana-4515	387	26	"	"	PUNCT
cana-4515	387	27	journal	journal	NOUN
cana-4515	387	28	of	of	ADP
cana-4515	387	29	mechanics	mechanic	NOUN
cana-4515	387	30	of	of	ADP
cana-4515	387	31	continua	continua	PROPN
cana-4515	387	32	and	and	CCONJ
cana-4515	387	33	mathematical	mathematical	ADJ
cana-4515	387	34	sciences	science	NOUN
cana-4515	387	35	,	,	PUNCT
cana-4515	387	36	vol	vol	NOUN
cana-4515	387	37	.	.	PROPN
cana-4515	387	38	19	19	NUM
cana-4515	387	39	,	,	PUNCT
cana-4515	387	40	pp	pp	ADJ
cana-4515	387	41	.	.	PUNCT
cana-4515	388	1	18–23	18–23	NUM
cana-4515	388	2	,	,	PUNCT
cana-4515	388	3	2024	2024	NUM
cana-4515	388	4	.	.	PUNCT
cana-4515	389	1	[	[	X
cana-4515	389	2	26	26	NUM
cana-4515	389	3	]	]	X
cana-4515	389	4	b.	b.	PROPN
cana-4515	389	5	mohamed	mohamed	PROPN
cana-4515	389	6	,	,	PUNCT
cana-4515	389	7	i.	i.	PROPN
cana-4515	389	8	m.	m.	PROPN
cana-4515	389	9	batiha	batiha	PROPN
cana-4515	389	10	,	,	PUNCT
cana-4515	389	11	m.	m.	NOUN
cana-4515	389	12	odeh	odeh	PROPN
cana-4515	389	13	,	,	PUNCT
cana-4515	389	14	and	and	CCONJ
cana-4515	389	15	m.	m.	PROPN
cana-4515	389	16	el	el	PROPN
cana-4515	389	17	-	-	PUNCT
cana-4515	389	18	meligy	meligy	PROPN
cana-4515	389	19	,	,	PUNCT
cana-4515	389	20	"	"	PUNCT
cana-4515	389	21	computing	compute	VERB
cana-4515	389	22	the	the	DET
cana-4515	389	23	independent	independent	ADJ
cana-4515	389	24	domination	domination	NOUN
cana-4515	389	25	metric	metric	ADJ
cana-4515	389	26	dimension	dimension	NOUN
cana-4515	389	27	problem	problem	NOUN
cana-4515	389	28	of	of	ADP
cana-4515	389	29	specific	specific	ADJ
cana-4515	389	30	graphs	graph	NOUN
cana-4515	389	31	,	,	PUNCT
cana-4515	389	32	"	"	PUNCT
cana-4515	389	33	journal	journal	NOUN
cana-4515	389	34	of	of	ADP
cana-4515	389	35	mechanics	mechanic	NOUN
cana-4515	389	36	of	of	ADP
cana-4515	389	37	continua	continua	PROPN
cana-4515	389	38	and	and	CCONJ
cana-4515	389	39	mathematical	mathematical	ADJ
cana-4515	389	40	sciences	science	NOUN
cana-4515	389	41	,	,	PUNCT
cana-4515	389	42	vol	vol	NOUN
cana-4515	389	43	.	.	PROPN
cana-4515	389	44	19	19	NUM
cana-4515	389	45	,	,	PUNCT
cana-4515	389	46	pp	pp	ADJ
cana-4515	389	47	.	.	PUNCT
cana-4515	390	1	256–264	256–264	NUM
cana-4515	390	2	,	,	PUNCT
cana-4515	390	3	2024	2024	NUM
cana-4515	390	4	.	.	PUNCT
cana-4515	391	1	[	[	X
cana-4515	391	2	27	27	NUM
cana-4515	391	3	]	]	X
cana-4515	391	4	n.	n.	PROPN
cana-4515	391	5	vijaya	vijaya	PROPN
cana-4515	391	6	,	,	PUNCT
cana-4515	391	7	b.	b.	PROPN
cana-4515	391	8	rajan	rajan	PROPN
cana-4515	391	9	,	,	PUNCT
cana-4515	391	10	and	and	CCONJ
cana-4515	391	11	i.	i.	PROPN
cana-4515	391	12	venkat	venkat	PROPN
cana-4515	391	13	,	,	PUNCT
cana-4515	391	14	"	"	PUNCT
cana-4515	391	15	crossing	cross	VERB
cana-4515	391	16	numbers	number	NOUN
cana-4515	391	17	of	of	ADP
cana-4515	391	18	join	join	NOUN
cana-4515	391	19	of	of	ADP
cana-4515	391	20	a	a	DET
cana-4515	391	21	graph	graph	NOUN
cana-4515	391	22	on	on	ADP
cana-4515	391	23	six	six	NUM
cana-4515	391	24	vertices	vertex	NOUN
cana-4515	391	25	with	with	ADP
cana-4515	391	26	a	a	DET
cana-4515	391	27	path	path	NOUN
cana-4515	391	28	and	and	CCONJ
cana-4515	391	29	a	a	DET
cana-4515	391	30	cycle	cycle	NOUN
cana-4515	391	31	,	,	PUNCT
cana-4515	391	32	"	"	PUNCT
cana-4515	391	33	international	international	ADJ
cana-4515	391	34	journal	journal	NOUN
cana-4515	391	35	of	of	ADP
cana-4515	391	36	advances	advance	NOUN
cana-4515	391	37	in	in	ADP
cana-4515	391	38	soft	soft	ADJ
cana-4515	391	39	computing	computing	NOUN
cana-4515	391	40	and	and	CCONJ
cana-4515	391	41	its	its	PRON
cana-4515	391	42	applications	application	NOUN
cana-4515	391	43	,	,	PUNCT
cana-4515	391	44	vol	vol	NOUN
cana-4515	391	45	.	.	PROPN
cana-4515	391	46	12	12	NUM
cana-4515	391	47	,	,	PUNCT
cana-4515	391	48	no	no	INTJ
cana-4515	391	49	.	.	NOUN
cana-4515	391	50	3	3	NUM
cana-4515	391	51	,	,	PUNCT
cana-4515	391	52	pp	pp	ADJ
cana-4515	391	53	.	.	PUNCT
cana-4515	392	1	45–58	45–58	NUM
cana-4515	392	2	,	,	PUNCT
cana-4515	392	3	2020	2020	NUM
cana-4515	392	4	.	.	PUNCT
cana-4515	393	1	[	[	X
cana-4515	393	2	28	28	NUM
cana-4515	393	3	]	]	X
cana-4515	393	4	a.	a.	NOUN
cana-4515	393	5	kumar	kumar	PROPN
cana-4515	393	6	and	and	CCONJ
cana-4515	393	7	s.	s.	PROPN
cana-4515	393	8	singh	singh	PROPN
cana-4515	393	9	,	,	PUNCT
cana-4515	393	10	"	"	PUNCT
cana-4515	393	11	fuzzy	fuzzy	ADJ
cana-4515	393	12	graph	graph	NOUN
cana-4515	393	13	theory	theory	NOUN
cana-4515	393	14	approach	approach	NOUN
cana-4515	393	15	to	to	ADP
cana-4515	393	16	network	network	NOUN
cana-4515	393	17	vulnerability	vulnerability	NOUN
cana-4515	393	18	assessment	assessment	NOUN
cana-4515	393	19	,	,	PUNCT
cana-4515	393	20	"	"	PUNCT
cana-4515	393	21	international	international	ADJ
cana-4515	393	22	journal	journal	NOUN
cana-4515	393	23	of	of	ADP
cana-4515	393	24	advances	advance	NOUN
cana-4515	393	25	in	in	ADP
cana-4515	393	26	soft	soft	ADJ
cana-4515	393	27	computing	computing	NOUN
cana-4515	393	28	and	and	CCONJ
cana-4515	393	29	its	its	PRON
cana-4515	393	30	applications	application	NOUN
cana-4515	393	31	,	,	PUNCT
cana-4515	393	32	vol	vol	NOUN
cana-4515	393	33	.	.	PROPN
cana-4515	393	34	11	11	NUM
cana-4515	393	35	,	,	PUNCT
cana-4515	393	36	no	no	INTJ
cana-4515	393	37	.	.	NOUN
cana-4515	393	38	2	2	NUM
cana-4515	393	39	,	,	PUNCT
cana-4515	393	40	pp	pp	ADJ
cana-4515	393	41	.	.	PUNCT
cana-4515	394	1	123–134	123–134	NUM
cana-4515	394	2	,	,	PUNCT
cana-4515	394	3	2019	2019	NUM
cana-4515	394	4	.	.	PUNCT
cana-4515	395	1	[	[	X
cana-4515	395	2	29	29	NUM
cana-4515	395	3	]	]	PUNCT
cana-4515	395	4	m.	m.	NOUN
cana-4515	395	5	rahman	rahman	PROPN
cana-4515	395	6	and	and	CCONJ
cana-4515	395	7	t.	t.	PROPN
cana-4515	395	8	k.	k.	PROPN
cana-4515	395	9	das	das	PROPN
cana-4515	395	10	,	,	PUNCT
cana-4515	395	11	"	"	PUNCT
cana-4515	395	12	application	application	NOUN
cana-4515	395	13	of	of	ADP
cana-4515	395	14	graph	graph	NOUN
cana-4515	395	15	theory	theory	NOUN
cana-4515	395	16	in	in	ADP
cana-4515	395	17	social	social	ADJ
cana-4515	395	18	network	network	NOUN
cana-4515	395	19	analysis	analysis	NOUN
cana-4515	395	20	,	,	PUNCT
cana-4515	395	21	"	"	PUNCT
cana-4515	395	22	international	international	ADJ
cana-4515	395	23	journal	journal	NOUN
cana-4515	395	24	of	of	ADP
cana-4515	395	25	advances	advance	NOUN
cana-4515	395	26	in	in	ADP
cana-4515	395	27	soft	soft	ADJ
cana-4515	395	28	computing	computing	NOUN
cana-4515	395	29	and	and	CCONJ
cana-4515	395	30	its	its	PRON
cana-4515	395	31	applications	application	NOUN
cana-4515	395	32	,	,	PUNCT
cana-4515	395	33	vol	vol	NOUN
cana-4515	395	34	.	.	PROPN
cana-4515	395	35	10	10	NUM
cana-4515	395	36	,	,	PUNCT
cana-4515	395	37	no	no	INTJ
cana-4515	395	38	.	.	NOUN
cana-4515	395	39	1	1	NUM
cana-4515	395	40	,	,	PUNCT
cana-4515	395	41	pp	pp	ADJ
cana-4515	395	42	.	.	PUNCT
cana-4515	395	43	89	89	NUM
cana-4515	395	44	–	–	PUNCT
cana-4515	395	45	102	102	NUM
cana-4515	395	46	,	,	PUNCT
cana-4515	395	47	2018	2018	NUM
cana-4515	395	48	.	.	PUNCT