id	sid	tid	token	lemma	pos
american_scientific_journal-3085	1	1	255	255	NUM
american_scientific_journal-3085	1	2	american	american	ADJ
american_scientific_journal-3085	1	3	scientific	scientific	ADJ
american_scientific_journal-3085	1	4	research	research	NOUN
american_scientific_journal-3085	1	5	journal	journal	NOUN
american_scientific_journal-3085	1	6	for	for	ADP
american_scientific_journal-3085	1	7	engineering	engineering	NOUN
american_scientific_journal-3085	1	8	,	,	PUNCT
american_scientific_journal-3085	1	9	technology	technology	NOUN
american_scientific_journal-3085	1	10	,	,	PUNCT
american_scientific_journal-3085	1	11	and	and	CCONJ
american_scientific_journal-3085	1	12	sciences	science	NOUN
american_scientific_journal-3085	1	13	(	(	PUNCT
american_scientific_journal-3085	1	14	asrjets	asrjet	NOUN
american_scientific_journal-3085	1	15	)	)	PUNCT
american_scientific_journal-3085	1	16	issn	issn	PROPN
american_scientific_journal-3085	1	17	(	(	PUNCT
american_scientific_journal-3085	1	18	print	print	NOUN
american_scientific_journal-3085	1	19	)	)	PUNCT
american_scientific_journal-3085	1	20	2313	2313	NUM
american_scientific_journal-3085	1	21	-	-	SYM
american_scientific_journal-3085	1	22	4410	4410	NUM
american_scientific_journal-3085	1	23	,	,	PUNCT
american_scientific_journal-3085	1	24	issn	issn	PROPN
american_scientific_journal-3085	1	25	(	(	PUNCT
american_scientific_journal-3085	1	26	online	online	ADJ
american_scientific_journal-3085	1	27	)	)	PUNCT
american_scientific_journal-3085	1	28	2313	2313	NUM
american_scientific_journal-3085	1	29	-	-	SYM
american_scientific_journal-3085	1	30	4402	4402	NUM
american_scientific_journal-3085	1	31	©	©	PROPN
american_scientific_journal-3085	1	32	global	global	ADJ
american_scientific_journal-3085	1	33	society	society	NOUN
american_scientific_journal-3085	1	34	of	of	ADP
american_scientific_journal-3085	1	35	scientific	scientific	ADJ
american_scientific_journal-3085	1	36	research	research	NOUN
american_scientific_journal-3085	1	37	and	and	CCONJ
american_scientific_journal-3085	1	38	researchers	researcher	NOUN
american_scientific_journal-3085	1	39	http://asrjetsjournal.org/	http://asrjetsjournal.org/	NOUN
american_scientific_journal-3085	1	40	hamltonian	hamltonian	ADJ
american_scientific_journal-3085	1	41	connectedness	connectedness	NOUN
american_scientific_journal-3085	1	42	and	and	CCONJ
american_scientific_journal-3085	1	43	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	1	44	graphs	graph	VERB
american_scientific_journal-3085	1	45	hassan	hassan	PROPN
american_scientific_journal-3085	1	46	zafara	zafara	PROPN
american_scientific_journal-3085	1	47	,	,	PUNCT
american_scientific_journal-3085	1	48	naveed	naveed	PROPN
american_scientific_journal-3085	1	49	akhter	akhter	PROPN
american_scientific_journal-3085	2	1	b	b	PROPN
american_scientific_journal-3085	2	2	*	*	PROPN
american_scientific_journal-3085	2	3	,	,	PUNCT
american_scientific_journal-3085	2	4	muhammad	muhammad	PROPN
american_scientific_journal-3085	2	5	kamran	kamran	PROPN
american_scientific_journal-3085	2	6	jamilc	jamilc	PROPN
american_scientific_journal-3085	2	7	,	,	PUNCT
american_scientific_journal-3085	2	8	faisal	faisal	PROPN
american_scientific_journal-3085	2	9	nadeemd	nadeemd	PROPN
american_scientific_journal-3085	2	10	anational	anational	PROPN
american_scientific_journal-3085	2	11	college	college	PROPN
american_scientific_journal-3085	2	12	of	of	ADP
american_scientific_journal-3085	2	13	business	business	PROPN
american_scientific_journal-3085	2	14	&	&	CCONJ
american_scientific_journal-3085	2	15	administration	administration	PROPN
american_scientific_journal-3085	2	16	,	,	PUNCT
american_scientific_journal-3085	2	17	dha	dha	PROPN
american_scientific_journal-3085	2	18	campus	campus	PROPN
american_scientific_journal-3085	2	19	,	,	PUNCT
american_scientific_journal-3085	2	20	lahore	lahore	NOUN
american_scientific_journal-3085	2	21	54590	54590	NUM
american_scientific_journal-3085	2	22	,	,	PUNCT
american_scientific_journal-3085	2	23	pakistan	pakistan	PROPN
american_scientific_journal-3085	2	24	bgovt	bgovt	NOUN
american_scientific_journal-3085	2	25	.	.	PUNCT
american_scientific_journal-3085	3	1	dyal	dyal	PROPN
american_scientific_journal-3085	3	2	singh	singh	PROPN
american_scientific_journal-3085	3	3	college	college	PROPN
american_scientific_journal-3085	3	4	,	,	PUNCT
american_scientific_journal-3085	3	5	lahore	lahore	NOUN
american_scientific_journal-3085	3	6	54590	54590	NUM
american_scientific_journal-3085	3	7	,	,	PUNCT
american_scientific_journal-3085	3	8	pakistan	pakistan	PROPN
american_scientific_journal-3085	3	9	criphah	criphah	PROPN
american_scientific_journal-3085	3	10	institute	institute	PROPN
american_scientific_journal-3085	3	11	of	of	ADP
american_scientific_journal-3085	3	12	computing	computing	PROPN
american_scientific_journal-3085	3	13	and	and	CCONJ
american_scientific_journal-3085	3	14	applied	apply	VERB
american_scientific_journal-3085	3	15	sciences	science	NOUN
american_scientific_journal-3085	3	16	(	(	PUNCT
american_scientific_journal-3085	3	17	ricas	ricas	NOUN
american_scientific_journal-3085	3	18	)	)	PUNCT
american_scientific_journal-3085	3	19	riphah	riphah	PROPN
american_scientific_journal-3085	3	20	international	international	PROPN
american_scientific_journal-3085	3	21	university	university	PROPN
american_scientific_journal-3085	3	22	,	,	PUNCT
american_scientific_journal-3085	3	23	lahore	lahore	NOUN
american_scientific_journal-3085	3	24	54590	54590	NUM
american_scientific_journal-3085	3	25	,	,	PUNCT
american_scientific_journal-3085	3	26	pakistan	pakistan	PROPN
american_scientific_journal-3085	3	27	.	.	PUNCT
american_scientific_journal-3085	4	1	,	,	PUNCT
american_scientific_journal-3085	4	2	pakistan	pakistan	PROPN
american_scientific_journal-3085	4	3	ddepartment	ddepartment	NOUN
american_scientific_journal-3085	4	4	of	of	ADP
american_scientific_journal-3085	4	5	mathematics	mathematic	NOUN
american_scientific_journal-3085	4	6	,	,	PUNCT
american_scientific_journal-3085	4	7	comsats	comsats	PROPN
american_scientific_journal-3085	4	8	,	,	PUNCT
american_scientific_journal-3085	4	9	institute	institute	NOUN
american_scientific_journal-3085	4	10	of	of	ADP
american_scientific_journal-3085	4	11	information	information	NOUN
american_scientific_journal-3085	4	12	and	and	CCONJ
american_scientific_journal-3085	4	13	technology	technology	NOUN
american_scientific_journal-3085	4	14	,	,	PUNCT
american_scientific_journal-3085	4	15	lahore	lahore	NOUN
american_scientific_journal-3085	4	16	54590	54590	NUM
american_scientific_journal-3085	4	17	,	,	PUNCT
american_scientific_journal-3085	4	18	pakistan	pakistan	PROPN
american_scientific_journal-3085	4	19	aemail	aemail	NOUN
american_scientific_journal-3085	4	20	:	:	PUNCT
american_scientific_journal-3085	4	21	hassanxfr@hotmail.com	hassanxfr@hotmail.com	X
american_scientific_journal-3085	4	22	bemail	bemail	NOUN
american_scientific_journal-3085	4	23	:	:	PUNCT
american_scientific_journal-3085	4	24	akhtarnaweed@yahoo.com	akhtarnaweed@yahoo.com	X
american_scientific_journal-3085	5	1	cemail	cemail	NOUN
american_scientific_journal-3085	5	2	:	:	PUNCT
american_scientific_journal-3085	5	3	m.kamran.sms@gmail.com	m.kamran.sms@gmail.com	X
american_scientific_journal-3085	6	1	demail	demail	NOUN
american_scientific_journal-3085	6	2	:	:	PUNCT
american_scientific_journal-3085	6	3	faisal.nadeem@ciitlahore.edu.pk	faisal.nadeem@ciitlahore.edu.pk	NOUN
american_scientific_journal-3085	6	4	abstract	abstract	VERB
american_scientific_journal-3085	6	5	a	a	DET
american_scientific_journal-3085	6	6	square	square	ADJ
american_scientific_journal-3085	6	7	matrix	matrix	NOUN
american_scientific_journal-3085	6	8	of	of	ADP
american_scientific_journal-3085	6	9	order	order	NOUN
american_scientific_journal-3085	6	10	n	n	X
american_scientific_journal-3085	6	11	is	be	AUX
american_scientific_journal-3085	6	12	called	call	VERB
american_scientific_journal-3085	6	13	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	6	14	matrix	matrix	NOUN
american_scientific_journal-3085	6	15	if	if	SCONJ
american_scientific_journal-3085	6	16	it	it	PRON
american_scientific_journal-3085	6	17	has	have	VERB
american_scientific_journal-3085	6	18	constant	constant	ADJ
american_scientific_journal-3085	6	19	elements	element	NOUN
american_scientific_journal-3085	6	20	along	along	ADP
american_scientific_journal-3085	6	21	all	all	DET
american_scientific_journal-3085	6	22	diagonals	diagonal	NOUN
american_scientific_journal-3085	6	23	parallel	parallel	VERB
american_scientific_journal-3085	6	24	to	to	ADP
american_scientific_journal-3085	6	25	the	the	DET
american_scientific_journal-3085	6	26	main	main	ADJ
american_scientific_journal-3085	6	27	diagonal	diagonal	NOUN
american_scientific_journal-3085	6	28	and	and	CCONJ
american_scientific_journal-3085	6	29	a	a	DET
american_scientific_journal-3085	6	30	graph	graph	NOUN
american_scientific_journal-3085	6	31	is	be	AUX
american_scientific_journal-3085	6	32	called	call	VERB
american_scientific_journal-3085	6	33	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	6	34	graph	graph	NOUN
american_scientific_journal-3085	6	35	if	if	SCONJ
american_scientific_journal-3085	6	36	its	its	PRON
american_scientific_journal-3085	6	37	adjacency	adjacency	NOUN
american_scientific_journal-3085	6	38	matrix	matrix	NOUN
american_scientific_journal-3085	6	39	is	be	AUX
american_scientific_journal-3085	6	40	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	6	41	.	.	PUNCT
american_scientific_journal-3085	7	1	in	in	ADP
american_scientific_journal-3085	7	2	this	this	DET
american_scientific_journal-3085	7	3	paper	paper	NOUN
american_scientific_journal-3085	7	4	we	we	PRON
american_scientific_journal-3085	7	5	proved	prove	VERB
american_scientific_journal-3085	7	6	that	that	SCONJ
american_scientific_journal-3085	7	7	the	the	DET
american_scientific_journal-3085	7	8	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	7	9	graphs	graph	VERB
american_scientific_journal-3085	7	10	2,3	2,3	NUM
american_scientific_journal-3085	7	11	,	,	PUNCT
american_scientific_journal-3085	7	12	tnt	tnt	NOUN
american_scientific_journal-3085	7	13	,	,	PUNCT
american_scientific_journal-3085	7	14	for	for	ADP
american_scientific_journal-3085	7	15	28n	28n	NUM
american_scientific_journal-3085	7	16			NUM
american_scientific_journal-3085	7	17	and	and	CCONJ
american_scientific_journal-3085	7	18	8	8	NUM
american_scientific_journal-3085	7	19	4	4	NUM
american_scientific_journal-3085	7	20	2	2	NUM
american_scientific_journal-3085	7	21	n	n	ADP
american_scientific_journal-3085	7	22	t	t	NOUN
american_scientific_journal-3085	7	23			PROPN
american_scientific_journal-3085	7	24			NOUN
american_scientific_journal-3085	7	25			NOUN
american_scientific_journal-3085	7	26	are	be	AUX
american_scientific_journal-3085	7	27	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	7	28	connected	connect	VERB
american_scientific_journal-3085	7	29	.	.	PUNCT
american_scientific_journal-3085	8	1	keywords	keyword	NOUN
american_scientific_journal-3085	8	2	:	:	PUNCT
american_scientific_journal-3085	8	3	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	8	4	graph	graph	NOUN
american_scientific_journal-3085	8	5	;	;	PUNCT
american_scientific_journal-3085	8	6	hamiltonian	hamiltonian	NOUN
american_scientific_journal-3085	8	7	connected	connect	VERB
american_scientific_journal-3085	8	8	;	;	PUNCT
american_scientific_journal-3085	8	9	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	8	10	graph	graph	NOUN
american_scientific_journal-3085	8	11	;	;	PUNCT
american_scientific_journal-3085	8	12	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	8	13	matrix	matrix	NOUN
american_scientific_journal-3085	8	14	;	;	PUNCT
american_scientific_journal-3085	8	15	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	8	16	path	path	NOUN
american_scientific_journal-3085	8	17	.	.	PUNCT
american_scientific_journal-3085	9	1	1	1	X
american_scientific_journal-3085	9	2	.	.	X
american_scientific_journal-3085	9	3	introduction	introduction	NOUN
american_scientific_journal-3085	9	4	a	a	DET
american_scientific_journal-3085	9	5	square	square	ADJ
american_scientific_journal-3085	9	6	matrix	matrix	NOUN
american_scientific_journal-3085	9	7	of	of	ADP
american_scientific_journal-3085	9	8	order	order	NOUN
american_scientific_journal-3085	9	9	n	n	X
american_scientific_journal-3085	9	10	is	be	AUX
american_scientific_journal-3085	9	11	called	call	VERB
american_scientific_journal-3085	9	12	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	9	13	matrix	matrix	NOUN
american_scientific_journal-3085	9	14	if	if	SCONJ
american_scientific_journal-3085	9	15	it	it	PRON
american_scientific_journal-3085	9	16	has	have	VERB
american_scientific_journal-3085	9	17	constant	constant	ADJ
american_scientific_journal-3085	9	18	elements	element	NOUN
american_scientific_journal-3085	9	19	along	along	ADP
american_scientific_journal-3085	9	20	all	all	DET
american_scientific_journal-3085	9	21	diagonals	diagonal	NOUN
american_scientific_journal-3085	9	22	parallel	parallel	VERB
american_scientific_journal-3085	9	23	to	to	ADP
american_scientific_journal-3085	9	24	the	the	DET
american_scientific_journal-3085	9	25	main	main	ADJ
american_scientific_journal-3085	9	26	diagonal	diagonal	NOUN
american_scientific_journal-3085	9	27	.	.	PUNCT
american_scientific_journal-3085	10	1	a	a	DET
american_scientific_journal-3085	10	2	simple	simple	ADJ
american_scientific_journal-3085	10	3	undirected	undirected	ADJ
american_scientific_journal-3085	10	4	graph	graph	NOUN
american_scientific_journal-3085	10	5	nt	not	PART
american_scientific_journal-3085	10	6	with	with	ADP
american_scientific_journal-3085	10	7	vertex	vertex	NOUN
american_scientific_journal-3085	10	8	set	set	VERB
american_scientific_journal-3085	10	9			PROPN
american_scientific_journal-3085	10	10	1,2,3	1,2,3	PROPN
american_scientific_journal-3085	10	11	,	,	PUNCT
american_scientific_journal-3085	10	12	,	,	PUNCT
american_scientific_journal-3085	10	13	n	n	PROPN
american_scientific_journal-3085	10	14	is	be	AUX
american_scientific_journal-3085	10	15	called	call	VERB
american_scientific_journal-3085	10	16	a	a	DET
american_scientific_journal-3085	10	17	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	10	18	graph	graph	NOUN
american_scientific_journal-3085	10	19	if	if	SCONJ
american_scientific_journal-3085	10	20	its	its	PRON
american_scientific_journal-3085	10	21	adjacency	adjacency	NOUN
american_scientific_journal-3085	10	22	matrix	matrix	NOUN
american_scientific_journal-3085	10	23	is	be	AUX
american_scientific_journal-3085	10	24	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	10	25	.	.	PUNCT
american_scientific_journal-3085	11	1	a	a	DET
american_scientific_journal-3085	11	2	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	11	3	graph	graph	NOUN
american_scientific_journal-3085	11	4	is	be	AUX
american_scientific_journal-3085	11	5	uniquely	uniquely	ADV
american_scientific_journal-3085	11	6	defined	define	VERB
american_scientific_journal-3085	11	7	by	by	ADP
american_scientific_journal-3085	11	8	the	the	DET
american_scientific_journal-3085	11	9	first	first	ADJ
american_scientific_journal-3085	11	10	row	row	NOUN
american_scientific_journal-3085	11	11	of	of	ADP
american_scientific_journal-3085	11	12	its	its	PRON
american_scientific_journal-3085	11	13	adjacency	adjacency	NOUN
american_scientific_journal-3085	11	14	matrix	matrix	NOUN
american_scientific_journal-3085	11	15	.	.	PUNCT
american_scientific_journal-3085	12	1	the	the	DET
american_scientific_journal-3085	12	2	first	first	ADJ
american_scientific_journal-3085	12	3	row	row	NOUN
american_scientific_journal-3085	12	4	of	of	ADP
american_scientific_journal-3085	12	5	adjacency	adjacency	NOUN
american_scientific_journal-3085	12	6	matrix	matrix	NOUN
american_scientific_journal-3085	12	7	of	of	ADP
american_scientific_journal-3085	12	8	a	a	DET
american_scientific_journal-3085	12	9	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	12	10	graph	graph	NOUN
american_scientific_journal-3085	12	11	is	be	AUX
american_scientific_journal-3085	12	12	always	always	ADV
american_scientific_journal-3085	12	13	a	a	DET
american_scientific_journal-3085	12	14	sequence	sequence	NOUN
american_scientific_journal-3085	12	15	of	of	ADP
american_scientific_journal-3085	12	16	0	0	NUM
american_scientific_journal-3085	12	17	’s	’s	NOUN
american_scientific_journal-3085	12	18	and	and	CCONJ
american_scientific_journal-3085	12	19	1	1	NUM
american_scientific_journal-3085	12	20	’s	’s	NOUN
american_scientific_journal-3085	12	21	.	.	PUNCT
american_scientific_journal-3085	13	1	if	if	SCONJ
american_scientific_journal-3085	13	2	the	the	DET
american_scientific_journal-3085	13	3	1	1	NUM
american_scientific_journal-3085	13	4	’s	’s	NOUN
american_scientific_journal-3085	13	5	in	in	ADP
american_scientific_journal-3085	13	6	that	that	DET
american_scientific_journal-3085	13	7	sequence	sequence	NOUN
american_scientific_journal-3085	13	8	places	place	NOUN
american_scientific_journal-3085	13	9	at	at	ADP
american_scientific_journal-3085	13	10	1	1	NUM
american_scientific_journal-3085	13	11	2	2	NUM
american_scientific_journal-3085	13	12	31	31	NUM
american_scientific_journal-3085	13	13	,	,	PUNCT
american_scientific_journal-3085	13	14	1	1	NUM
american_scientific_journal-3085	13	15	,	,	PUNCT
american_scientific_journal-3085	13	16	1	1	NUM
american_scientific_journal-3085	13	17	,	,	PUNCT
american_scientific_journal-3085	13	18	,	,	PUNCT
american_scientific_journal-3085	13	19	1kt	1kt	PROPN
american_scientific_journal-3085	13	20	t	t	PROPN
american_scientific_journal-3085	13	21	t	t	PROPN
american_scientific_journal-3085	13	22	t	t	PROPN
american_scientific_journal-3085	13	23			PUNCT
american_scientific_journal-3085	13	24			X
american_scientific_journal-3085	13	25			PUNCT
american_scientific_journal-3085	13	26	positions	position	NOUN
american_scientific_journal-3085	13	27	with	with	ADP
american_scientific_journal-3085	13	28	1	1	NUM
american_scientific_journal-3085	13	29	2	2	NUM
american_scientific_journal-3085	13	30	31	31	NUM
american_scientific_journal-3085	13	31	,	,	PUNCT
american_scientific_journal-3085	13	32	kt	kt	PROPN
american_scientific_journal-3085	13	33	t	t	PROPN
american_scientific_journal-3085	13	34	t	t	PROPN
american_scientific_journal-3085	13	35	t	t	PROPN
american_scientific_journal-3085	13	36	n	n	PROPN
american_scientific_journal-3085	13	37			PROPN
american_scientific_journal-3085	13	38			PROPN
american_scientific_journal-3085	13	39			PROPN
american_scientific_journal-3085	14	1			PROPN
american_scientific_journal-3085	14	2			VERB
american_scientific_journal-3085	14	3	we	we	PRON
american_scientific_journal-3085	14	4	write	write	VERB
american_scientific_journal-3085	14	5	1	1	NUM
american_scientific_journal-3085	14	6	2	2	NUM
american_scientific_journal-3085	14	7	3	3	NUM
american_scientific_journal-3085	14	8	,	,	PUNCT
american_scientific_journal-3085	14	9	,	,	PUNCT
american_scientific_journal-3085	14	10	,	,	PUNCT
american_scientific_journal-3085	14	11	,	,	PUNCT
american_scientific_journal-3085	14	12	n	n	CCONJ
american_scientific_journal-3085	14	13	n	n	CCONJ
american_scientific_journal-3085	14	14	kt	kt	PROPN
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american_scientific_journal-3085	14	16	t	t	PROPN
american_scientific_journal-3085	14	17	t	t	PROPN
american_scientific_journal-3085	14	18	t	t	PROPN
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american_scientific_journal-3085	15	2	a	a	DET
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american_scientific_journal-3085	15	4	graph	graph	NOUN
american_scientific_journal-3085	15	5	1	1	NUM
american_scientific_journal-3085	15	6	2	2	NUM
american_scientific_journal-3085	15	7	3	3	NUM
american_scientific_journal-3085	15	8	,	,	PUNCT
american_scientific_journal-3085	15	9	,	,	PUNCT
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american_scientific_journal-3085	15	11	,	,	PUNCT
american_scientific_journal-3085	15	12	n	n	PROPN
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american_scientific_journal-3085	15	14	t	t	PROPN
american_scientific_journal-3085	15	15	t	t	PROPN
american_scientific_journal-3085	15	16	t	t	PROPN
american_scientific_journal-3085	15	17	t	t	PROPN
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american_scientific_journal-3085	15	20	a	a	PRON
american_scientific_journal-3085	15	21	and	and	CCONJ
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american_scientific_journal-3085	15	35	3	3	NUM
american_scientific_journal-3085	15	36	,	,	PUNCT
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american_scientific_journal-3085	15	38	,	,	PUNCT
american_scientific_journal-3085	15	39	,	,	PUNCT
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american_scientific_journal-3085	15	44	t	t	PROPN
american_scientific_journal-3085	15	45	t	t	VERB
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american_scientific_journal-3085	15	47	.	.	PUNCT
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american_scientific_journal-3085	17	4	.	.	PUNCT
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american_scientific_journal-3085	18	9	,	,	PUNCT
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american_scientific_journal-3085	18	11	,	,	PUNCT
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american_scientific_journal-3085	18	14	(	(	PUNCT
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american_scientific_journal-3085	18	18	2017	2017	NUM
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american_scientific_journal-3085	18	22	,	,	PUNCT
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american_scientific_journal-3085	18	24	1	1	NUM
american_scientific_journal-3085	18	25	,	,	PUNCT
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american_scientific_journal-3085	18	28	-	-	SYM
american_scientific_journal-3085	18	29	268	268	NUM
american_scientific_journal-3085	18	30	256	256	NUM
american_scientific_journal-3085	18	31	a	a	DET
american_scientific_journal-3085	18	32	graph	graph	NOUN
american_scientific_journal-3085	18	33	g	g	NOUN
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american_scientific_journal-3085	18	41	it	it	PRON
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american_scientific_journal-3085	18	43	a	a	DET
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american_scientific_journal-3085	18	45	of	of	ADP
american_scientific_journal-3085	18	46	order	order	NOUN
american_scientific_journal-3085	18	47	n	n	NOUN
american_scientific_journal-3085	18	48	.	.	PUNCT
american_scientific_journal-3085	19	1	a	a	DET
american_scientific_journal-3085	19	2	graph	graph	NOUN
american_scientific_journal-3085	19	3	g	g	NOUN
american_scientific_journal-3085	19	4	of	of	ADP
american_scientific_journal-3085	19	5	order	order	NOUN
american_scientific_journal-3085	19	6	n	n	X
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american_scientific_journal-3085	19	9	traceable	traceable	ADJ
american_scientific_journal-3085	19	10	if	if	SCONJ
american_scientific_journal-3085	19	11	it	it	PRON
american_scientific_journal-3085	19	12	contains	contain	VERB
american_scientific_journal-3085	19	13	a	a	DET
american_scientific_journal-3085	19	14	path	path	NOUN
american_scientific_journal-3085	19	15	of	of	ADP
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american_scientific_journal-3085	19	20	a	a	DET
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american_scientific_journal-3085	19	22	is	be	AUX
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american_scientific_journal-3085	19	26	.	.	PUNCT
american_scientific_journal-3085	20	1	the	the	DET
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american_scientific_journal-3085	20	8	if	if	SCONJ
american_scientific_journal-3085	20	9	for	for	ADP
american_scientific_journal-3085	20	10	any	any	DET
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american_scientific_journal-3085	20	16	and	and	CCONJ
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american_scientific_journal-3085	20	19	g	g	PROPN
american_scientific_journal-3085	20	20	,	,	PUNCT
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american_scientific_journal-3085	20	31	.	.	PUNCT
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american_scientific_journal-3085	30	14	a	a	DET
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american_scientific_journal-3085	30	22	that	that	PRON
american_scientific_journal-3085	30	23	contains	contain	VERB
american_scientific_journal-3085	30	24	all	all	DET
american_scientific_journal-3085	30	25	vertices	vertex	NOUN
american_scientific_journal-3085	30	26	,	,	PUNCT
american_scientific_journal-3085	30	27	,	,	PUNCT
american_scientific_journal-3085	30	28	1	1	NUM
american_scientific_journal-3085	30	29	,	,	PUNCT
american_scientific_journal-3085	30	30	2	2	NUM
american_scientific_journal-3085	30	31	,	,	PUNCT
american_scientific_journal-3085	30	32	,	,	PUNCT
american_scientific_journal-3085	30	33	m	m	VERB
american_scientific_journal-3085	30	34	m	m	VERB
american_scientific_journal-3085	30	35	m	m	PROPN
american_scientific_journal-3085	30	36	l	l	PROPN
american_scientific_journal-3085	30	37			PUNCT
american_scientific_journal-3085	30	38	.	.	PUNCT
american_scientific_journal-3085	31	1	if	if	SCONJ
american_scientific_journal-3085	31	2	m	m	VERB
american_scientific_journal-3085	31	3	l	l	NOUN
american_scientific_journal-3085	31	4	then	then	ADV
american_scientific_journal-3085	31	5			PROPN
american_scientific_journal-3085	31	6			PROPN
american_scientific_journal-3085	31	7	,	,	PUNCT
american_scientific_journal-3085	31	8	1,p	1,p	PROPN
american_scientific_journal-3085	31	9	l	l	NOUN
american_scientific_journal-3085	31	10	l	l	NOUN
american_scientific_journal-3085	31	11	m	m	PROPN
american_scientific_journal-3085	31	12	a	a	DET
american_scientific_journal-3085	31	13	path	path	NOUN
american_scientific_journal-3085	31	14	with	with	ADP
american_scientific_journal-3085	31	15	ends	end	NOUN
american_scientific_journal-3085	31	16	l	l	PROPN
american_scientific_journal-3085	31	17	and	and	CCONJ
american_scientific_journal-3085	31	18	1l	1l	NUM
american_scientific_journal-3085	31	19			PRON
american_scientific_journal-3085	31	20	that	that	PRON
american_scientific_journal-3085	31	21	contains	contain	VERB
american_scientific_journal-3085	31	22	all	all	DET
american_scientific_journal-3085	31	23	vertices	vertex	NOUN
american_scientific_journal-3085	31	24	,	,	PUNCT
american_scientific_journal-3085	31	25	,	,	PUNCT
american_scientific_journal-3085	31	26	1	1	NUM
american_scientific_journal-3085	31	27	,	,	PUNCT
american_scientific_journal-3085	31	28	2	2	NUM
american_scientific_journal-3085	31	29	,	,	PUNCT
american_scientific_journal-3085	31	30	,	,	PUNCT
american_scientific_journal-3085	31	31	l	l	NOUN
american_scientific_journal-3085	31	32	l	l	X
american_scientific_journal-3085	31	33	l	l	X
american_scientific_journal-3085	31	34	m	m	PROPN
american_scientific_journal-3085	31	35			X
american_scientific_journal-3085	31	36			PROPN
american_scientific_journal-3085	31	37	.	.	PUNCT
american_scientific_journal-3085	32	1	the	the	DET
american_scientific_journal-3085	32	2	path	path	NOUN
american_scientific_journal-3085	32	3			PROPN
american_scientific_journal-3085	32	4	,p	,p	X
american_scientific_journal-3085	32	5	l	l	NOUN
american_scientific_journal-3085	32	6	m	m	PROPN
american_scientific_journal-3085	32	7	has	have	AUX
american_scientific_journal-3085	32	8	end	end	NOUN
american_scientific_journal-3085	32	9	vertices	vertex	NOUN
american_scientific_journal-3085	32	10	l	l	NOUN
american_scientific_journal-3085	32	11	and	and	CCONJ
american_scientific_journal-3085	32	12	m	m	PROPN
american_scientific_journal-3085	32	13	and	and	CCONJ
american_scientific_journal-3085	32	14	contains	contain	VERB
american_scientific_journal-3085	32	15	all	all	DET
american_scientific_journal-3085	32	16	vertices	vertex	NOUN
american_scientific_journal-3085	32	17	,	,	PUNCT
american_scientific_journal-3085	32	18	,	,	PUNCT
american_scientific_journal-3085	32	19	1	1	NUM
american_scientific_journal-3085	32	20	,	,	PUNCT
american_scientific_journal-3085	32	21	2	2	NUM
american_scientific_journal-3085	32	22	,	,	PUNCT
american_scientific_journal-3085	32	23	,	,	PUNCT
american_scientific_journal-3085	32	24	l	l	NOUN
american_scientific_journal-3085	32	25	l	l	X
american_scientific_journal-3085	32	26	l	l	X
american_scientific_journal-3085	32	27	m	m	PROPN
american_scientific_journal-3085	32	28			X
american_scientific_journal-3085	32	29			PROPN
american_scientific_journal-3085	32	30	except	except	SCONJ
american_scientific_journal-3085	32	31	vertices	vertex	NOUN
american_scientific_journal-3085	32	32	1l	1l	NUM
american_scientific_journal-3085	32	33			ADJ
american_scientific_journal-3085	32	34	and	and	CCONJ
american_scientific_journal-3085	32	35	1m	1m	NUM
american_scientific_journal-3085	32	36	.	.	PUNCT
american_scientific_journal-3085	33	1	the	the	DET
american_scientific_journal-3085	33	2	path	path	NOUN
american_scientific_journal-3085	33	3			PROPN
american_scientific_journal-3085	33	4	,h	,h	NOUN
american_scientific_journal-3085	33	5	l	l	NOUN
american_scientific_journal-3085	33	6	m	m	VERB
american_scientific_journal-3085	33	7	has	have	AUX
american_scientific_journal-3085	33	8	ends	end	VERB
american_scientific_journal-3085	33	9	l	l	PROPN
american_scientific_journal-3085	33	10	and	and	CCONJ
american_scientific_journal-3085	33	11	m	m	PROPN
american_scientific_journal-3085	33	12	and	and	CCONJ
american_scientific_journal-3085	33	13	contains	contain	VERB
american_scientific_journal-3085	33	14	all	all	DET
american_scientific_journal-3085	33	15	vertices	vertex	NOUN
american_scientific_journal-3085	33	16	,	,	PUNCT
american_scientific_journal-3085	33	17	1	1	NUM
american_scientific_journal-3085	33	18	,	,	PUNCT
american_scientific_journal-3085	33	19	2	2	NUM
american_scientific_journal-3085	33	20	,	,	PUNCT
american_scientific_journal-3085	33	21	,	,	PUNCT
american_scientific_journal-3085	33	22	l	l	NOUN
american_scientific_journal-3085	33	23	l	l	X
american_scientific_journal-3085	33	24	l	l	X
american_scientific_journal-3085	33	25	m	m	PROPN
american_scientific_journal-3085	33	26			X
american_scientific_journal-3085	33	27			PROPN
american_scientific_journal-3085	33	28	.	.	PUNCT
american_scientific_journal-3085	34	1	the	the	DET
american_scientific_journal-3085	34	2	path	path	NOUN
american_scientific_journal-3085	34	3			PROPN
american_scientific_journal-3085	34	4			PROPN
american_scientific_journal-3085	34	5	'	'	PUNCT
american_scientific_journal-3085	34	6	,	,	PUNCT
american_scientific_journal-3085	34	7	,	,	PUNCT
american_scientific_journal-3085	34	8	p	p	X
american_scientific_journal-3085	34	9	l	l	NOUN
american_scientific_journal-3085	34	10	m	m	AUX
american_scientific_journal-3085	34	11	k	k	NOUN
american_scientific_journal-3085	34	12	has	have	AUX
american_scientific_journal-3085	34	13	end	end	NOUN
american_scientific_journal-3085	34	14	vertices	vertex	NOUN
american_scientific_journal-3085	34	15	l	l	NOUN
american_scientific_journal-3085	34	16	and	and	CCONJ
american_scientific_journal-3085	34	17	m	m	PRON
american_scientific_journal-3085	34	18	,	,	PUNCT
american_scientific_journal-3085	34	19	and	and	CCONJ
american_scientific_journal-3085	34	20	contains	contain	VERB
american_scientific_journal-3085	34	21	all	all	DET
american_scientific_journal-3085	34	22	vertices	vertex	NOUN
american_scientific_journal-3085	34	23	,	,	PUNCT
american_scientific_journal-3085	34	24	1	1	NUM
american_scientific_journal-3085	34	25	,	,	PUNCT
american_scientific_journal-3085	34	26	2	2	NUM
american_scientific_journal-3085	34	27	,	,	PUNCT
american_scientific_journal-3085	34	28	,	,	PUNCT
american_scientific_journal-3085	34	29	l	l	NOUN
american_scientific_journal-3085	34	30	l	l	X
american_scientific_journal-3085	34	31	l	l	X
american_scientific_journal-3085	34	32	m	m	PROPN
american_scientific_journal-3085	34	33			X
american_scientific_journal-3085	34	34			PROPN
american_scientific_journal-3085	34	35	except	except	SCONJ
american_scientific_journal-3085	34	36	vertex	vertex	NOUN
american_scientific_journal-3085	34	37			PROPN
american_scientific_journal-3085	34	38	1	1	PROPN
american_scientific_journal-3085	34	39	,	,	PUNCT
american_scientific_journal-3085	34	40	1k	1k	NUM
american_scientific_journal-3085	34	41	l	l	NOUN
american_scientific_journal-3085	34	42	m	m	PROPN
american_scientific_journal-3085	34	43			ADV
american_scientific_journal-3085	34	44			NOUN
american_scientific_journal-3085	34	45	.	.	PUNCT
american_scientific_journal-3085	35	1	the	the	DET
american_scientific_journal-3085	35	2	path	path	NOUN
american_scientific_journal-3085	35	3			PROPN
american_scientific_journal-3085	35	4	,y	,y	VERB
american_scientific_journal-3085	35	5	xh	xh	PROPN
american_scientific_journal-3085	35	6	l	l	PROPN
american_scientific_journal-3085	35	7	m	m	PROPN
american_scientific_journal-3085	35	8	has	have	AUX
american_scientific_journal-3085	35	9	ends	end	NOUN
american_scientific_journal-3085	35	10	x	x	SYM
american_scientific_journal-3085	35	11	,	,	PUNCT
american_scientific_journal-3085	35	12	y	y	PROPN
american_scientific_journal-3085	35	13	and	and	CCONJ
american_scientific_journal-3085	35	14	contains	contain	VERB
american_scientific_journal-3085	35	15	vertices	vertex	NOUN
american_scientific_journal-3085	35	16	,	,	PUNCT
american_scientific_journal-3085	35	17	1	1	NUM
american_scientific_journal-3085	35	18	,	,	PUNCT
american_scientific_journal-3085	35	19	2	2	NUM
american_scientific_journal-3085	35	20	,	,	PUNCT
american_scientific_journal-3085	35	21	,	,	PUNCT
american_scientific_journal-3085	35	22	l	l	NOUN
american_scientific_journal-3085	35	23	l	l	X
american_scientific_journal-3085	35	24	l	l	X
american_scientific_journal-3085	35	25	m	m	PROPN
american_scientific_journal-3085	35	26			X
american_scientific_journal-3085	35	27			PROPN
american_scientific_journal-3085	35	28	.	.	PUNCT
american_scientific_journal-3085	36	1	the	the	DET
american_scientific_journal-3085	36	2	path	path	NOUN
american_scientific_journal-3085	36	3			PROPN
american_scientific_journal-3085	36	4	,y	,y	VERB
american_scientific_journal-3085	36	5	xh	xh	PROPN
american_scientific_journal-3085	36	6	l	l	PROPN
american_scientific_journal-3085	36	7	m	m	PROPN
american_scientific_journal-3085	36	8	has	have	AUX
american_scientific_journal-3085	36	9	ends	end	NOUN
american_scientific_journal-3085	36	10	x	x	PUNCT
american_scientific_journal-3085	36	11	and	and	CCONJ
american_scientific_journal-3085	36	12	y	y	PROPN
american_scientific_journal-3085	36	13	contains	contain	VERB
american_scientific_journal-3085	36	14	all	all	DET
american_scientific_journal-3085	36	15	vertices	vertex	NOUN
american_scientific_journal-3085	36	16	,	,	PUNCT
american_scientific_journal-3085	36	17	1	1	NUM
american_scientific_journal-3085	36	18	,	,	PUNCT
american_scientific_journal-3085	36	19	2	2	NUM
american_scientific_journal-3085	36	20	,	,	PUNCT
american_scientific_journal-3085	36	21	,	,	PUNCT
american_scientific_journal-3085	36	22	l	l	NOUN
american_scientific_journal-3085	36	23	l	l	X
american_scientific_journal-3085	36	24	l	l	X
american_scientific_journal-3085	36	25	m	m	PROPN
american_scientific_journal-3085	36	26			X
american_scientific_journal-3085	36	27			ADP
american_scientific_journal-3085	36	28	such	such	ADJ
american_scientific_journal-3085	36	29	that	that	DET
american_scientific_journal-3085	36	30	5	5	NUM
american_scientific_journal-3085	36	31	,	,	PUNCT
american_scientific_journal-3085	36	32	5l	5l	NUM
american_scientific_journal-3085	36	33	x	x	SYM
american_scientific_journal-3085	36	34	y	y	PROPN
american_scientific_journal-3085	36	35	m	m	PROPN
american_scientific_journal-3085	36	36			PROPN
american_scientific_journal-3085	36	37			NOUN
american_scientific_journal-3085	36	38			VERB
american_scientific_journal-3085	36	39	.	.	PUNCT
american_scientific_journal-3085	37	1	2	2	X
american_scientific_journal-3085	37	2	.	.	X
american_scientific_journal-3085	37	3	preliminaries	preliminary	NOUN
american_scientific_journal-3085	37	4	lemma	lemma	VERB
american_scientific_journal-3085	37	5	2.1	2.1	NUM
american_scientific_journal-3085	37	6	the	the	DET
american_scientific_journal-3085	37	7	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	37	8	graph	graph	NOUN
american_scientific_journal-3085	37	9	2,3nt	2,3nt	NUM
american_scientific_journal-3085	37	10	,	,	PUNCT
american_scientific_journal-3085	37	11	n	n	PRON
american_scientific_journal-3085	37	12	≥	≥	NUM
american_scientific_journal-3085	37	13	6	6	NUM
american_scientific_journal-3085	37	14	admits	admit	VERB
american_scientific_journal-3085	37	15	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	37	16	path	path	PROPN
american_scientific_journal-3085	37	17			PROPN
american_scientific_journal-3085	37	18	1,2,p	1,2,p	PROPN
american_scientific_journal-3085	37	19	n	n	PROPN
american_scientific_journal-3085	37	20	and	and	CCONJ
american_scientific_journal-3085	37	21			PROPN
american_scientific_journal-3085	37	22	1	1	PROPN
american_scientific_journal-3085	37	23	,	,	PUNCT
american_scientific_journal-3085	37	24	,	,	PUNCT
american_scientific_journal-3085	37	25	1p	1p	NUM
american_scientific_journal-3085	37	26	n	n	PRON
american_scientific_journal-3085	37	27	n	n	NOUN
american_scientific_journal-3085	37	28	.	.	PUNCT
american_scientific_journal-3085	38	1	proof	proof	NOUN
american_scientific_journal-3085	38	2	.	.	PUNCT
american_scientific_journal-3085	39	1	the	the	DET
american_scientific_journal-3085	39	2	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	39	3	graph	graph	NOUN
american_scientific_journal-3085	39	4	2	2	NUM
american_scientific_journal-3085	39	5	2,3nt	2,3nt	NUM
american_scientific_journal-3085	39	6	has	have	AUX
american_scientific_journal-3085	39	7	he	he	PRON
american_scientific_journal-3085	39	8	following	follow	VERB
american_scientific_journal-3085	39	9	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	39	10	path	path	PROPN
american_scientific_journal-3085	39	11			PROPN
american_scientific_journal-3085	39	12	1,2,p	1,2,p	PROPN
american_scientific_journal-3085	39	13	n	n	PROPN
american_scientific_journal-3085	39	14	.	.	PUNCT
american_scientific_journal-3085	40	1	“	"	PUNCT
american_scientific_journal-3085	40	2	1,3,5	1,3,5	NUM
american_scientific_journal-3085	40	3	,	,	PUNCT
american_scientific_journal-3085	40	4	,	,	PUNCT
american_scientific_journal-3085	40	5	2	2	NUM
american_scientific_journal-3085	40	6	7,n	7,n	NUM
american_scientific_journal-3085	40	7	2n	2n	NUM
american_scientific_journal-3085	40	8	5,	5,	NUM
american_scientific_journal-3085	40	9	2n	2n	NUM
american_scientific_journal-3085	40	10	2,2n,2n	2,2n,2n	NUM
american_scientific_journal-3085	41	1	3,2n	3,2n	NUM
american_scientific_journal-3085	41	2	1,2n	1,2n	NUM
american_scientific_journal-3085	41	3	4,2n	4,2n	NUM
american_scientific_journal-3085	41	4	6	6	NUM
american_scientific_journal-3085	41	5	,	,	PUNCT
american_scientific_journal-3085	41	6	6,4,2.	6,4,2.	NUM
american_scientific_journal-3085	41	7			PROPN
american_scientific_journal-3085	41	8			PROPN
american_scientific_journal-3085	41	9			PROPN
american_scientific_journal-3085	41	10			NOUN
american_scientific_journal-3085	41	11	”	"	PUNCT
american_scientific_journal-3085	41	12	the	the	DET
american_scientific_journal-3085	41	13	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	41	14	graph	graph	NOUN
american_scientific_journal-3085	41	15	2	2	NUM
american_scientific_journal-3085	41	16	1	1	NUM
american_scientific_journal-3085	41	17	2,3nt	2,3nt	NUM
american_scientific_journal-3085	41	18			VERB
american_scientific_journal-3085	41	19	the	the	DET
american_scientific_journal-3085	41	20	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	41	21	path	path	NOUN
american_scientific_journal-3085	41	22	“	"	PUNCT
american_scientific_journal-3085	41	23	1,3,5	1,3,5	NUM
american_scientific_journal-3085	41	24	,	,	PUNCT
american_scientific_journal-3085	41	25	2	2	NUM
american_scientific_journal-3085	41	26	5,2	5,2	NUM
american_scientific_journal-3085	41	27	3,2	3,2	NUM
american_scientific_journal-3085	41	28	,	,	PUNCT
american_scientific_journal-3085	41	29	2	2	NUM
american_scientific_journal-3085	41	30	2,n	2,n	NUM
american_scientific_journal-3085	41	31	n	n	CCONJ
american_scientific_journal-3085	41	32	n	n	CCONJ
american_scientific_journal-3085	41	33	n	n	ADJ
american_scientific_journal-3085	41	34			PROPN
american_scientific_journal-3085	41	35			PROPN
american_scientific_journal-3085	41	36	2	2	NUM
american_scientific_journal-3085	41	37	1,2	1,2	NUM
american_scientific_journal-3085	41	38	1,n	1,n	NUM
american_scientific_journal-3085	41	39	n	n	PROPN
american_scientific_journal-3085	41	40			PROPN
american_scientific_journal-3085	41	41	2	2	NUM
american_scientific_journal-3085	41	42	4,n	4,n	PROPN
american_scientific_journal-3085	41	43			NOUN
american_scientific_journal-3085	41	44	2	2	NUM
american_scientific_journal-3085	41	45	6	6	NUM
american_scientific_journal-3085	41	46	,	,	PUNCT
american_scientific_journal-3085	41	47	6,4,2n	6,4,2n	NUM
american_scientific_journal-3085	41	48	”	"	PUNCT
american_scientific_journal-3085	41	49	that	that	PRON
american_scientific_journal-3085	41	50	connects	connect	VERB
american_scientific_journal-3085	41	51	1	1	NUM
american_scientific_journal-3085	41	52	and	and	CCONJ
american_scientific_journal-3085	41	53	2	2	NUM
american_scientific_journal-3085	41	54	.	.	PUNCT
american_scientific_journal-3085	41	55	due	due	ADP
american_scientific_journal-3085	41	56	to	to	ADP
american_scientific_journal-3085	41	57	symmetry	symmetry	NOUN
american_scientific_journal-3085	41	58	of	of	ADP
american_scientific_journal-3085	41	59	the	the	DET
american_scientific_journal-3085	41	60	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	41	61	graphs	graph	NOUN
american_scientific_journal-3085	41	62	2,3nt	2,3nt	NUM
american_scientific_journal-3085	41	63	has	have	VERB
american_scientific_journal-3085	41	64	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	41	65	path	path	PROPN
american_scientific_journal-3085	41	66			PROPN
american_scientific_journal-3085	41	67	1	1	PROPN
american_scientific_journal-3085	41	68	,	,	PUNCT
american_scientific_journal-3085	41	69	,	,	PUNCT
american_scientific_journal-3085	41	70	1p	1p	NUM
american_scientific_journal-3085	41	71	n	n	PRON
american_scientific_journal-3085	41	72	n	n	NOUN
american_scientific_journal-3085	41	73	.	.	PUNCT
american_scientific_journal-3085	42	1	the	the	DET
american_scientific_journal-3085	42	2	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	42	3	paths	path	NOUN
american_scientific_journal-3085	42	4	connecting	connect	VERB
american_scientific_journal-3085	42	5	1	1	NUM
american_scientific_journal-3085	42	6	and	and	CCONJ
american_scientific_journal-3085	42	7	2	2	NUM
american_scientific_journal-3085	42	8	are	be	AUX
american_scientific_journal-3085	42	9	shown	show	VERB
american_scientific_journal-3085	42	10	in	in	ADP
american_scientific_journal-3085	42	11	fig	fig	NOUN
american_scientific_journal-3085	42	12	.	.	PUNCT
american_scientific_journal-3085	43	1	1	1	NUM
american_scientific_journal-3085	43	2	and	and	CCONJ
american_scientific_journal-3085	43	3	fig	fig	NOUN
american_scientific_journal-3085	43	4	.	.	PUNCT
american_scientific_journal-3085	44	1	2	2	X
american_scientific_journal-3085	44	2	.	.	X
american_scientific_journal-3085	44	3	corollary	corollary	ADJ
american_scientific_journal-3085	44	4	2.2	2.2	NUM
american_scientific_journal-3085	44	5	(	(	PUNCT
american_scientific_journal-3085	44	6	a	a	NOUN
american_scientific_journal-3085	44	7	)	)	PUNCT
american_scientific_journal-3085	44	8	.	.	PUNCT
american_scientific_journal-3085	45	1	in	in	ADP
american_scientific_journal-3085	45	2	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	45	3	graphs	graph	NOUN
american_scientific_journal-3085	45	4	2,3nt	2,3nt	NUM
american_scientific_journal-3085	45	5	,	,	PUNCT
american_scientific_journal-3085	45	6	if	if	SCONJ
american_scientific_journal-3085	45	7	l	l	PROPN
american_scientific_journal-3085	45	8	<	<	X
american_scientific_journal-3085	45	9	m	m	PROPN
american_scientific_journal-3085	45	10	,	,	PUNCT
american_scientific_journal-3085	45	11	then	then	ADV
american_scientific_journal-3085	45	12			PROPN
american_scientific_journal-3085	45	13			PROPN
american_scientific_journal-3085	45	14	,	,	PUNCT
american_scientific_journal-3085	45	15	1,mp	1,mp	NUM
american_scientific_journal-3085	45	16	l	l	NOUN
american_scientific_journal-3085	45	17	l	l	NOUN
american_scientific_journal-3085	45	18			X
american_scientific_journal-3085	45	19	exists	exist	VERB
american_scientific_journal-3085	45	20	for	for	ADP
american_scientific_journal-3085	45	21	5.m	5.m	NUM
american_scientific_journal-3085	45	22	l	l	ADJ
american_scientific_journal-3085	45	23			NUM
american_scientific_journal-3085	45	24	(	(	PUNCT
american_scientific_journal-3085	45	25	b	b	NOUN
american_scientific_journal-3085	45	26	)	)	PUNCT
american_scientific_journal-3085	45	27	.	.	PUNCT
american_scientific_journal-3085	46	1	in	in	ADP
american_scientific_journal-3085	46	2	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	46	3	graphs	graph	NOUN
american_scientific_journal-3085	46	4	2,3nt	2,3nt	NUM
american_scientific_journal-3085	46	5	,	,	PUNCT
american_scientific_journal-3085	46	6	if	if	SCONJ
american_scientific_journal-3085	46	7	l	l	PROPN
american_scientific_journal-3085	46	8	>	>	X
american_scientific_journal-3085	46	9	m	m	PROPN
american_scientific_journal-3085	46	10	,	,	PUNCT
american_scientific_journal-3085	46	11	then	then	ADV
american_scientific_journal-3085	46	12			PROPN
american_scientific_journal-3085	46	13			PROPN
american_scientific_journal-3085	46	14	,	,	PUNCT
american_scientific_journal-3085	46	15	1,mp	1,mp	NUM
american_scientific_journal-3085	46	16	l	l	NOUN
american_scientific_journal-3085	46	17	l	l	NOUN
american_scientific_journal-3085	46	18			X
american_scientific_journal-3085	46	19	exists	exist	VERB
american_scientific_journal-3085	46	20	for	for	ADP
american_scientific_journal-3085	46	21	4.l	4.l	DET
american_scientific_journal-3085	46	22	m	m	NOUN
american_scientific_journal-3085	46	23			NUM
american_scientific_journal-3085	46	24	american	american	ADJ
american_scientific_journal-3085	46	25	scientific	scientific	ADJ
american_scientific_journal-3085	46	26	research	research	NOUN
american_scientific_journal-3085	46	27	journal	journal	NOUN
american_scientific_journal-3085	46	28	for	for	ADP
american_scientific_journal-3085	46	29	engineering	engineering	NOUN
american_scientific_journal-3085	46	30	,	,	PUNCT
american_scientific_journal-3085	46	31	technology	technology	NOUN
american_scientific_journal-3085	46	32	,	,	PUNCT
american_scientific_journal-3085	46	33	and	and	CCONJ
american_scientific_journal-3085	46	34	sciences	science	NOUN
american_scientific_journal-3085	46	35	(	(	PUNCT
american_scientific_journal-3085	46	36	asrjets	asrjet	NOUN
american_scientific_journal-3085	46	37	)	)	PUNCT
american_scientific_journal-3085	46	38	(	(	PUNCT
american_scientific_journal-3085	46	39	2017	2017	NUM
american_scientific_journal-3085	46	40	)	)	PUNCT
american_scientific_journal-3085	46	41	volume	volume	NOUN
american_scientific_journal-3085	46	42	33	33	NUM
american_scientific_journal-3085	46	43	,	,	PUNCT
american_scientific_journal-3085	46	44	no	no	DET
american_scientific_journal-3085	46	45	1	1	NUM
american_scientific_journal-3085	46	46	,	,	PUNCT
american_scientific_journal-3085	46	47	pp	pp	ADV
american_scientific_journal-3085	46	48	255	255	NUM
american_scientific_journal-3085	46	49	-	-	SYM
american_scientific_journal-3085	46	50	268	268	NUM
american_scientific_journal-3085	46	51	257	257	NUM
american_scientific_journal-3085	46	52	figure	figure	NOUN
american_scientific_journal-3085	46	53	1	1	NUM
american_scientific_journal-3085	46	54	:	:	PUNCT
american_scientific_journal-3085	46	55	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	46	56	path	path	NOUN
american_scientific_journal-3085	46	57	with	with	ADP
american_scientific_journal-3085	46	58	ends	end	NOUN
american_scientific_journal-3085	46	59	1	1	NUM
american_scientific_journal-3085	46	60	and	and	CCONJ
american_scientific_journal-3085	46	61	2	2	NUM
american_scientific_journal-3085	46	62	figure	figure	NOUN
american_scientific_journal-3085	46	63	2	2	NUM
american_scientific_journal-3085	46	64	:	:	PUNCT
american_scientific_journal-3085	46	65	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	46	66	path	path	NOUN
american_scientific_journal-3085	46	67	with	with	ADP
american_scientific_journal-3085	46	68	ends	end	NOUN
american_scientific_journal-3085	46	69	1	1	NUM
american_scientific_journal-3085	46	70	and	and	CCONJ
american_scientific_journal-3085	46	71	2	2	NUM
american_scientific_journal-3085	46	72	lemma	lemma	PROPN
american_scientific_journal-3085	46	73	2.3	2.3	NUM
american_scientific_journal-3085	46	74	.	.	PUNCT
american_scientific_journal-3085	47	1	the	the	DET
american_scientific_journal-3085	47	2	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	47	3	graph	graph	NOUN
american_scientific_journal-3085	47	4	2,3nt	2,3nt	NUM
american_scientific_journal-3085	47	5	for	for	ADP
american_scientific_journal-3085	47	6	8n	8n	NOUN
american_scientific_journal-3085	47	7			NUM
american_scientific_journal-3085	47	8	contains	contain	VERB
american_scientific_journal-3085	47	9	the	the	DET
american_scientific_journal-3085	47	10	path	path	NOUN
american_scientific_journal-3085	47	11			PROPN
american_scientific_journal-3085	47	12	1	1	PROPN
american_scientific_journal-3085	47	13	,	,	PUNCT
american_scientific_journal-3085	47	14	.p	.p	NOUN
american_scientific_journal-3085	47	15	n	n	PRON
american_scientific_journal-3085	47	16	proof	proof	NOUN
american_scientific_journal-3085	47	17	.	.	PUNCT
american_scientific_journal-3085	48	1	we	we	PRON
american_scientific_journal-3085	48	2	divide	divide	VERB
american_scientific_journal-3085	48	3	the	the	DET
american_scientific_journal-3085	48	4	proof	proof	NOUN
american_scientific_journal-3085	48	5	in	in	ADP
american_scientific_journal-3085	48	6	following	follow	VERB
american_scientific_journal-3085	48	7	four	four	NUM
american_scientific_journal-3085	48	8	cases	case	NOUN
american_scientific_journal-3085	48	9	.	.	PUNCT
american_scientific_journal-3085	49	1	case	case	NOUN
american_scientific_journal-3085	49	2	1	1	NUM
american_scientific_journal-3085	49	3	.	.	PUNCT
american_scientific_journal-3085	50	1	if	if	SCONJ
american_scientific_journal-3085	50	2			NOUN
american_scientific_journal-3085	50	3	0	0	NOUN
american_scientific_journal-3085	51	1	mod	mod	PROPN
american_scientific_journal-3085	51	2	4n	4n	PROPN
american_scientific_journal-3085	51	3			NUM
american_scientific_journal-3085	51	4	,	,	PUNCT
american_scientific_journal-3085	51	5	then	then	ADV
american_scientific_journal-3085	51	6	4n	4n	PROPN
american_scientific_journal-3085	51	7	k	k	NOUN
american_scientific_journal-3085	51	8	for	for	ADP
american_scientific_journal-3085	51	9	2.k	2.k	NUM
american_scientific_journal-3085	51	10			NUM
american_scientific_journal-3085	51	11	the	the	DET
american_scientific_journal-3085	51	12	required	required	ADJ
american_scientific_journal-3085	51	13	path	path	NOUN
american_scientific_journal-3085	51	14	is	be	AUX
american_scientific_journal-3085	51	15	shown	show	VERB
american_scientific_journal-3085	51	16	in	in	ADP
american_scientific_journal-3085	51	17	fig	fig	NOUN
american_scientific_journal-3085	51	18	.	.	PUNCT
american_scientific_journal-3085	52	1	3	3	X
american_scientific_journal-3085	52	2	.	.	X
american_scientific_journal-3085	52	3	figure	figure	NOUN
american_scientific_journal-3085	52	4	3	3	NUM
american_scientific_journal-3085	52	5	:	:	PUNCT
american_scientific_journal-3085	52	6	path	path	NOUN
american_scientific_journal-3085	52	7	with	with	ADP
american_scientific_journal-3085	52	8	ends	end	NOUN
american_scientific_journal-3085	52	9	1	1	NUM
american_scientific_journal-3085	52	10	and	and	CCONJ
american_scientific_journal-3085	52	11	4k	4k	NUM
american_scientific_journal-3085	52	12	containing	contain	VERB
american_scientific_journal-3085	52	13	all	all	DET
american_scientific_journal-3085	52	14	vertices	vertex	NOUN
american_scientific_journal-3085	52	15	except	except	SCONJ
american_scientific_journal-3085	52	16	2	2	NUM
american_scientific_journal-3085	52	17	and	and	CCONJ
american_scientific_journal-3085	52	18	4	4	NUM
american_scientific_journal-3085	52	19	1k	1k	NUM
american_scientific_journal-3085	52	20			NOUN
american_scientific_journal-3085	52	21	case	case	NOUN
american_scientific_journal-3085	52	22	2	2	NUM
american_scientific_journal-3085	52	23	.	.	PUNCT
american_scientific_journal-3085	53	1	if	if	SCONJ
american_scientific_journal-3085	53	2			NOUN
american_scientific_journal-3085	53	3	1	1	VERB
american_scientific_journal-3085	53	4	mod	mod	NOUN
american_scientific_journal-3085	53	5	4	4	NUM
american_scientific_journal-3085	53	6	,	,	PUNCT
american_scientific_journal-3085	53	7	n	n	PRON
american_scientific_journal-3085	53	8			NOUN
american_scientific_journal-3085	53	9	then	then	ADV
american_scientific_journal-3085	53	10	n	n	NOUN
american_scientific_journal-3085	53	11	=	=	SYM
american_scientific_journal-3085	53	12	4k	4k	NOUN
american_scientific_journal-3085	53	13	+	+	CCONJ
american_scientific_journal-3085	53	14	1	1	NUM
american_scientific_journal-3085	53	15	for	for	ADP
american_scientific_journal-3085	53	16	k	k	PROPN
american_scientific_journal-3085	53	17	_	_	NOUN
american_scientific_journal-3085	53	18	2	2	X
american_scientific_journal-3085	53	19	.	.	PUNCT
american_scientific_journal-3085	54	1	the	the	DET
american_scientific_journal-3085	54	2	path	path	NOUN
american_scientific_journal-3085	54	3	that	that	PRON
american_scientific_journal-3085	54	4	connects	connect	VERB
american_scientific_journal-3085	54	5	1	1	NUM
american_scientific_journal-3085	54	6	with	with	ADP
american_scientific_journal-3085	54	7	4k	4k	NUM
american_scientific_journal-3085	54	8	+	+	CCONJ
american_scientific_journal-3085	54	9	1	1	NUM
american_scientific_journal-3085	54	10	and	and	CCONJ
american_scientific_journal-3085	54	11	contains	contain	VERB
american_scientific_journal-3085	54	12	all	all	DET
american_scientific_journal-3085	54	13	the	the	DET
american_scientific_journal-3085	54	14	vertices	vertex	NOUN
american_scientific_journal-3085	54	15	in	in	ADP
american_scientific_journal-3085	54	16	the	the	DET
american_scientific_journal-3085	54	17	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	54	18	graph	graph	NOUN
american_scientific_journal-3085	54	19	4	4	NUM
american_scientific_journal-3085	54	20	1	1	NUM
american_scientific_journal-3085	54	21	2,3kt	2,3kt	NUM
american_scientific_journal-3085	54	22			PUNCT
american_scientific_journal-3085	54	23	except	except	SCONJ
american_scientific_journal-3085	54	24	2	2	NUM
american_scientific_journal-3085	54	25	and	and	CCONJ
american_scientific_journal-3085	54	26	4k	4k	PRON
american_scientific_journal-3085	54	27	is	be	AUX
american_scientific_journal-3085	54	28	“	"	PUNCT
american_scientific_journal-3085	54	29	1,4,6,3,5,8,10,7	1,4,6,3,5,8,10,7	NUM
american_scientific_journal-3085	54	30	,	,	PUNCT
american_scientific_journal-3085	54	31	,	,	PUNCT
american_scientific_journal-3085	54	32	4	4	NUM
american_scientific_journal-3085	54	33	6,4	6,4	NUM
american_scientific_journal-3085	54	34	9,4	9,4	NUM
american_scientific_journal-3085	54	35	7,k	7,k	NUM
american_scientific_journal-3085	54	36	k	k	PROPN
american_scientific_journal-3085	54	37	k	k	PROPN
american_scientific_journal-3085	54	38			PROPN
american_scientific_journal-3085	54	39			PROPN
american_scientific_journal-3085	54	40			PROPN
american_scientific_journal-3085	54	41	4k	4k	NUM
american_scientific_journal-3085	54	42	4,	4,	NUM
american_scientific_journal-3085	54	43	4k	4k	NOUN
american_scientific_journal-3085	54	44	2,4k	2,4k	NUM
american_scientific_journal-3085	54	45	5,4k	5,4k	NUM
american_scientific_journal-3085	54	46	3,4k	3,4k	NUM
american_scientific_journal-3085	54	47	1,4k	1,4k	NUM
american_scientific_journal-3085	54	48	1	1	NUM
american_scientific_journal-3085	54	49			PROPN
american_scientific_journal-3085	54	50			PROPN
american_scientific_journal-3085	54	51			PROPN
american_scientific_journal-3085	54	52			PUNCT
american_scientific_journal-3085	54	53	”	"	PUNCT
american_scientific_journal-3085	54	54	and	and	CCONJ
american_scientific_journal-3085	54	55	is	be	AUX
american_scientific_journal-3085	54	56	shown	show	VERB
american_scientific_journal-3085	54	57	in	in	ADP
american_scientific_journal-3085	54	58	fig	fig	NOUN
american_scientific_journal-3085	54	59	.	.	PUNCT
american_scientific_journal-3085	55	1	4	4	X
american_scientific_journal-3085	55	2	.	.	X
american_scientific_journal-3085	55	3	case	case	NOUN
american_scientific_journal-3085	55	4	3	3	X
american_scientific_journal-3085	55	5	.	.	PUNCT
american_scientific_journal-3085	56	1	if	if	SCONJ
american_scientific_journal-3085	56	2	n	n	NOUN
american_scientific_journal-3085	56	3	=	=	SYM
american_scientific_journal-3085	56	4	2	2	NUM
american_scientific_journal-3085	56	5	(	(	PUNCT
american_scientific_journal-3085	56	6	mod	mod	NOUN
american_scientific_journal-3085	56	7	4	4	NUM
american_scientific_journal-3085	56	8	)	)	PUNCT
american_scientific_journal-3085	56	9	,	,	PUNCT
american_scientific_journal-3085	56	10	then	then	ADV
american_scientific_journal-3085	56	11	n	n	NOUN
american_scientific_journal-3085	56	12	=	=	SYM
american_scientific_journal-3085	56	13	4k	4k	NOUN
american_scientific_journal-3085	56	14	+	+	CCONJ
american_scientific_journal-3085	56	15	2	2	NUM
american_scientific_journal-3085	56	16	for	for	ADP
american_scientific_journal-3085	56	17	2n	2n	NUM
american_scientific_journal-3085	56	18			NUM
american_scientific_journal-3085	56	19	.	.	PUNCT
american_scientific_journal-3085	57	1	the	the	DET
american_scientific_journal-3085	57	2	path	path	NOUN
american_scientific_journal-3085	57	3	that	that	PRON
american_scientific_journal-3085	57	4	connects	connect	VERB
american_scientific_journal-3085	57	5	1	1	NUM
american_scientific_journal-3085	57	6	with	with	ADP
american_scientific_journal-3085	57	7	4k	4k	NUM
american_scientific_journal-3085	57	8	+	+	CCONJ
american_scientific_journal-3085	57	9	2	2	NUM
american_scientific_journal-3085	57	10	and	and	CCONJ
american_scientific_journal-3085	57	11	contains	contain	VERB
american_scientific_journal-3085	57	12	all	all	DET
american_scientific_journal-3085	57	13	the	the	DET
american_scientific_journal-3085	57	14	vertices	vertex	NOUN
american_scientific_journal-3085	57	15	in	in	ADP
american_scientific_journal-3085	57	16	the	the	DET
american_scientific_journal-3085	57	17	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	57	18	graph	graph	NOUN
american_scientific_journal-3085	57	19	4	4	NUM
american_scientific_journal-3085	57	20	2	2	NUM
american_scientific_journal-3085	57	21	2,3kt	2,3kt	NUM
american_scientific_journal-3085	57	22			PUNCT
american_scientific_journal-3085	57	23	,	,	PUNCT
american_scientific_journal-3085	57	24	except	except	SCONJ
american_scientific_journal-3085	57	25	2	2	NUM
american_scientific_journal-3085	57	26	and	and	CCONJ
american_scientific_journal-3085	57	27	4k+1	4k+1	PROPN
american_scientific_journal-3085	57	28	is	be	AUX
american_scientific_journal-3085	57	29	1,3,5,7,4,6,8,10,12,9,11,14,16,13,15,18	1,3,5,7,4,6,8,10,12,9,11,14,16,13,15,18	NUM
american_scientific_journal-3085	57	30	,	,	PUNCT
american_scientific_journal-3085	57	31	4k	4k	NUM
american_scientific_journal-3085	58	1	5	5	NUM
american_scientific_journal-3085	58	2	4	4	NUM
american_scientific_journal-3085	58	3	2,4	2,4	NUM
american_scientific_journal-3085	58	4	,	,	PUNCT
american_scientific_journal-3085	58	5	4	4	NUM
american_scientific_journal-3085	58	6	3,4	3,4	NUM
american_scientific_journal-3085	58	7	1,4	1,4	NUM
american_scientific_journal-3085	58	8	2k	2k	NOUN
american_scientific_journal-3085	58	9	k	k	NOUN
american_scientific_journal-3085	58	10	k	k	PROPN
american_scientific_journal-3085	58	11	k	k	PROPN
american_scientific_journal-3085	58	12	k	k	PROPN
american_scientific_journal-3085	58	13			PROPN
american_scientific_journal-3085	58	14			PROPN
american_scientific_journal-3085	58	15			VERB
american_scientific_journal-3085	58	16	"	"	PUNCT
american_scientific_journal-3085	58	17	and	and	CCONJ
american_scientific_journal-3085	58	18	is	be	AUX
american_scientific_journal-3085	58	19	shown	show	VERB
american_scientific_journal-3085	58	20	in	in	ADP
american_scientific_journal-3085	58	21	fig	fig	NOUN
american_scientific_journal-3085	58	22	.	.	PUNCT
american_scientific_journal-3085	59	1	5	5	X
american_scientific_journal-3085	59	2	.	.	X
american_scientific_journal-3085	59	3	american	american	PROPN
american_scientific_journal-3085	59	4	scientific	scientific	ADJ
american_scientific_journal-3085	59	5	research	research	PROPN
american_scientific_journal-3085	59	6	journal	journal	NOUN
american_scientific_journal-3085	59	7	for	for	ADP
american_scientific_journal-3085	59	8	engineering	engineering	NOUN
american_scientific_journal-3085	59	9	,	,	PUNCT
american_scientific_journal-3085	59	10	technology	technology	NOUN
american_scientific_journal-3085	59	11	,	,	PUNCT
american_scientific_journal-3085	59	12	and	and	CCONJ
american_scientific_journal-3085	59	13	sciences	science	NOUN
american_scientific_journal-3085	59	14	(	(	PUNCT
american_scientific_journal-3085	59	15	asrjets	asrjet	NOUN
american_scientific_journal-3085	59	16	)	)	PUNCT
american_scientific_journal-3085	59	17	(	(	PUNCT
american_scientific_journal-3085	59	18	2017	2017	NUM
american_scientific_journal-3085	59	19	)	)	PUNCT
american_scientific_journal-3085	59	20	volume	volume	NOUN
american_scientific_journal-3085	59	21	33	33	NUM
american_scientific_journal-3085	59	22	,	,	PUNCT
american_scientific_journal-3085	59	23	no	no	DET
american_scientific_journal-3085	59	24	1	1	NUM
american_scientific_journal-3085	59	25	,	,	PUNCT
american_scientific_journal-3085	59	26	pp	pp	ADV
american_scientific_journal-3085	59	27	255	255	NUM
american_scientific_journal-3085	59	28	-	-	SYM
american_scientific_journal-3085	59	29	268	268	NUM
american_scientific_journal-3085	59	30	258	258	NUM
american_scientific_journal-3085	59	31	figure	figure	NOUN
american_scientific_journal-3085	59	32	4	4	NUM
american_scientific_journal-3085	59	33	:	:	PUNCT
american_scientific_journal-3085	59	34	path	path	NOUN
american_scientific_journal-3085	59	35	with	with	ADP
american_scientific_journal-3085	59	36	ends	end	NOUN
american_scientific_journal-3085	59	37	1	1	NUM
american_scientific_journal-3085	59	38	and	and	CCONJ
american_scientific_journal-3085	59	39	4k	4k	PRON
american_scientific_journal-3085	59	40	+	+	X
american_scientific_journal-3085	59	41	1	1	NUM
american_scientific_journal-3085	59	42	containing	contain	VERB
american_scientific_journal-3085	59	43	all	all	DET
american_scientific_journal-3085	59	44	vertices	vertex	NOUN
american_scientific_journal-3085	59	45	except	except	SCONJ
american_scientific_journal-3085	59	46	2	2	NUM
american_scientific_journal-3085	59	47	and	and	CCONJ
american_scientific_journal-3085	59	48	4k	4k	NUM
american_scientific_journal-3085	59	49	case	case	NOUN
american_scientific_journal-3085	59	50	4	4	NUM
american_scientific_journal-3085	59	51	.	.	PUNCT
american_scientific_journal-3085	60	1	if	if	SCONJ
american_scientific_journal-3085	60	2	n	n	NOUN
american_scientific_journal-3085	60	3	=	=	SYM
american_scientific_journal-3085	60	4	3	3	NUM
american_scientific_journal-3085	60	5	(	(	PUNCT
american_scientific_journal-3085	60	6	mod	mod	NOUN
american_scientific_journal-3085	60	7	4	4	NUM
american_scientific_journal-3085	60	8	)	)	PUNCT
american_scientific_journal-3085	60	9	,	,	PUNCT
american_scientific_journal-3085	60	10	then	then	ADV
american_scientific_journal-3085	60	11	n	n	NOUN
american_scientific_journal-3085	60	12	=	=	SYM
american_scientific_journal-3085	60	13	4k	4k	NOUN
american_scientific_journal-3085	60	14	+	+	CCONJ
american_scientific_journal-3085	60	15	3	3	NUM
american_scientific_journal-3085	60	16	for	for	ADP
american_scientific_journal-3085	60	17	2n	2n	NUM
american_scientific_journal-3085	60	18			NUM
american_scientific_journal-3085	60	19	.	.	PUNCT
american_scientific_journal-3085	61	1	the	the	DET
american_scientific_journal-3085	61	2	path	path	NOUN
american_scientific_journal-3085	61	3	that	that	PRON
american_scientific_journal-3085	61	4	connects	connect	VERB
american_scientific_journal-3085	61	5	1	1	NUM
american_scientific_journal-3085	61	6	with	with	ADP
american_scientific_journal-3085	61	7	4k	4k	NUM
american_scientific_journal-3085	61	8	+	+	CCONJ
american_scientific_journal-3085	61	9	3	3	NUM
american_scientific_journal-3085	61	10	and	and	CCONJ
american_scientific_journal-3085	61	11	contains	contain	VERB
american_scientific_journal-3085	61	12	all	all	DET
american_scientific_journal-3085	61	13	the	the	DET
american_scientific_journal-3085	61	14	vertices	vertex	NOUN
american_scientific_journal-3085	61	15	in	in	ADP
american_scientific_journal-3085	61	16	the	the	DET
american_scientific_journal-3085	61	17	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	61	18	graph	graph	NOUN
american_scientific_journal-3085	61	19	4	4	NUM
american_scientific_journal-3085	61	20	3	3	NUM
american_scientific_journal-3085	61	21	2,3kt	2,3kt	NUM
american_scientific_journal-3085	61	22			PUNCT
american_scientific_journal-3085	61	23	,	,	PUNCT
american_scientific_journal-3085	61	24	except	except	SCONJ
american_scientific_journal-3085	61	25	2	2	NUM
american_scientific_journal-3085	61	26	and	and	CCONJ
american_scientific_journal-3085	61	27	4k	4k	PRON
american_scientific_journal-3085	61	28	+	+	CCONJ
american_scientific_journal-3085	61	29	2	2	NUM
american_scientific_journal-3085	61	30	is	be	AUX
american_scientific_journal-3085	61	31	“	"	PUNCT
american_scientific_journal-3085	61	32	1,3,5,7,4,6,9,11,8,10,13	1,3,5,7,4,6,9,11,8,10,13	NUM
american_scientific_journal-3085	61	33	,	,	PUNCT
american_scientific_journal-3085	61	34	4k	4k	X
american_scientific_journal-3085	61	35	5,4k	5,4k	NUM
american_scientific_journal-3085	61	36	8	8	NUM
american_scientific_journal-3085	61	37			NOUN
american_scientific_journal-3085	61	38	,	,	PUNCT
american_scientific_journal-3085	61	39	4	4	NUM
american_scientific_journal-3085	61	40	6,4	6,4	NUM
american_scientific_journal-3085	61	41	3,4	3,4	NUM
american_scientific_journal-3085	61	42	,	,	PUNCT
american_scientific_journal-3085	61	43	4	4	NUM
american_scientific_journal-3085	61	44	2,4	2,4	NUM
american_scientific_journal-3085	61	45	4,4	4,4	NUM
american_scientific_journal-3085	61	46	3,4	3,4	NUM
american_scientific_journal-3085	61	47	1,4	1,4	NUM
american_scientific_journal-3085	61	48	3k	3k	NOUN
american_scientific_journal-3085	62	1	k	k	PROPN
american_scientific_journal-3085	62	2	k	k	PROPN
american_scientific_journal-3085	62	3	k	k	PROPN
american_scientific_journal-3085	62	4	k	k	PROPN
american_scientific_journal-3085	62	5	k	k	PROPN
american_scientific_journal-3085	62	6	k	k	PROPN
american_scientific_journal-3085	62	7	k	k	PROPN
american_scientific_journal-3085	62	8			VERB
american_scientific_journal-3085	62	9			PROPN
american_scientific_journal-3085	62	10			PROPN
american_scientific_journal-3085	62	11			PROPN
american_scientific_journal-3085	62	12			ADV
american_scientific_journal-3085	62	13			ADV
american_scientific_journal-3085	62	14	”	"	PUNCT
american_scientific_journal-3085	62	15	and	and	CCONJ
american_scientific_journal-3085	62	16	is	be	AUX
american_scientific_journal-3085	62	17	shown	show	VERB
american_scientific_journal-3085	62	18	in	in	ADP
american_scientific_journal-3085	62	19	fig	fig	NOUN
american_scientific_journal-3085	62	20	.	.	PUNCT
american_scientific_journal-3085	63	1	6	6	X
american_scientific_journal-3085	63	2	.	.	X
american_scientific_journal-3085	63	3	figure	figure	NOUN
american_scientific_journal-3085	63	4	5	5	NUM
american_scientific_journal-3085	63	5	:	:	PUNCT
american_scientific_journal-3085	63	6	path	path	NOUN
american_scientific_journal-3085	63	7	with	with	ADP
american_scientific_journal-3085	63	8	ends	end	NOUN
american_scientific_journal-3085	63	9	1	1	NUM
american_scientific_journal-3085	63	10	and	and	CCONJ
american_scientific_journal-3085	63	11	4k	4k	PRON
american_scientific_journal-3085	63	12	+	+	CCONJ
american_scientific_journal-3085	63	13	2	2	NUM
american_scientific_journal-3085	63	14	containing	contain	VERB
american_scientific_journal-3085	63	15	all	all	DET
american_scientific_journal-3085	63	16	vertices	vertex	NOUN
american_scientific_journal-3085	63	17	except	except	SCONJ
american_scientific_journal-3085	63	18	2	2	NUM
american_scientific_journal-3085	63	19	and	and	CCONJ
american_scientific_journal-3085	63	20	4k	4k	PRON
american_scientific_journal-3085	63	21	+	+	NOUN
american_scientific_journal-3085	63	22	1	1	NUM
american_scientific_journal-3085	63	23	figure	figure	NOUN
american_scientific_journal-3085	63	24	6	6	NUM
american_scientific_journal-3085	63	25	:	:	PUNCT
american_scientific_journal-3085	63	26	path	path	NOUN
american_scientific_journal-3085	63	27	with	with	ADP
american_scientific_journal-3085	63	28	ends	end	NOUN
american_scientific_journal-3085	63	29	1	1	NUM
american_scientific_journal-3085	63	30	and	and	CCONJ
american_scientific_journal-3085	63	31	4k	4k	PRON
american_scientific_journal-3085	63	32	+	+	CCONJ
american_scientific_journal-3085	63	33	3	3	NUM
american_scientific_journal-3085	63	34	containing	contain	VERB
american_scientific_journal-3085	63	35	all	all	DET
american_scientific_journal-3085	63	36	vertices	vertex	NOUN
american_scientific_journal-3085	63	37	except	except	SCONJ
american_scientific_journal-3085	63	38	2	2	NUM
american_scientific_journal-3085	63	39	and	and	CCONJ
american_scientific_journal-3085	63	40	4k	4k	PRON
american_scientific_journal-3085	63	41	+	+	CCONJ
american_scientific_journal-3085	63	42	2	2	NUM
american_scientific_journal-3085	63	43	corollary	corollary	NOUN
american_scientific_journal-3085	63	44	2.4	2.4	NUM
american_scientific_journal-3085	63	45	.	.	PUNCT
american_scientific_journal-3085	64	1	the	the	DET
american_scientific_journal-3085	64	2	path	path	NOUN
american_scientific_journal-3085	64	3			PROPN
american_scientific_journal-3085	64	4	,p	,p	X
american_scientific_journal-3085	64	5	l	l	NOUN
american_scientific_journal-3085	64	6	m	m	NOUN
american_scientific_journal-3085	64	7	exists	exist	VERB
american_scientific_journal-3085	64	8	in	in	ADP
american_scientific_journal-3085	64	9	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	64	10	graphs	graph	NOUN
american_scientific_journal-3085	64	11	2,3nt	2,3nt	NUM
american_scientific_journal-3085	64	12	for	for	ADP
american_scientific_journal-3085	64	13	7.m	7.m	NUM
american_scientific_journal-3085	64	14	l	l	PROPN
american_scientific_journal-3085	64	15			NUM
american_scientific_journal-3085	64	16	lemma	lemma	PROPN
american_scientific_journal-3085	64	17	2.5	2.5	NUM
american_scientific_journal-3085	64	18	.	.	PUNCT
american_scientific_journal-3085	65	1	the	the	DET
american_scientific_journal-3085	65	2	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	65	3	graph	graph	NOUN
american_scientific_journal-3085	65	4	2,3nt	2,3nt	NUM
american_scientific_journal-3085	65	5	,	,	PUNCT
american_scientific_journal-3085	65	6	for	for	ADP
american_scientific_journal-3085	65	7	6n	6n	PROPN
american_scientific_journal-3085	65	8			NUM
american_scientific_journal-3085	65	9	and	and	CCONJ
american_scientific_journal-3085	65	10	8n	8n	PROPN
american_scientific_journal-3085	65	11			PROPN
american_scientific_journal-3085	65	12	admits	admit	VERB
american_scientific_journal-3085	65	13	a	a	DET
american_scientific_journal-3085	65	14	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	65	15	path	path	NOUN
american_scientific_journal-3085	65	16			PROPN
american_scientific_journal-3085	65	17	1,h	1,h	VERB
american_scientific_journal-3085	65	18	n	n	X
american_scientific_journal-3085	65	19	.	.	PUNCT
american_scientific_journal-3085	66	1	proof	proof	NOUN
american_scientific_journal-3085	66	2	.	.	PUNCT
american_scientific_journal-3085	67	1	we	we	PRON
american_scientific_journal-3085	67	2	will	will	AUX
american_scientific_journal-3085	67	3	prove	prove	VERB
american_scientific_journal-3085	67	4	this	this	DET
american_scientific_journal-3085	67	5	result	result	NOUN
american_scientific_journal-3085	67	6	in	in	ADP
american_scientific_journal-3085	67	7	five	five	NUM
american_scientific_journal-3085	67	8	cases	case	NOUN
american_scientific_journal-3085	67	9	.	.	PUNCT
american_scientific_journal-3085	68	1	case	case	NOUN
american_scientific_journal-3085	68	2	1	1	NUM
american_scientific_journal-3085	68	3	.	.	PUNCT
american_scientific_journal-3085	69	1	if	if	SCONJ
american_scientific_journal-3085	69	2	n	n	NOUN
american_scientific_journal-3085	69	3	=	=	SYM
american_scientific_journal-3085	69	4	1	1	NUM
american_scientific_journal-3085	69	5	(	(	PUNCT
american_scientific_journal-3085	69	6	mod	mod	NOUN
american_scientific_journal-3085	69	7	5	5	NUM
american_scientific_journal-3085	69	8	)	)	PUNCT
american_scientific_journal-3085	69	9	then	then	ADV
american_scientific_journal-3085	69	10	n	n	NOUN
american_scientific_journal-3085	69	11	=	=	SYM
american_scientific_journal-3085	69	12	5k	5k	NUM
american_scientific_journal-3085	69	13	+	+	CCONJ
american_scientific_journal-3085	69	14	1	1	NUM
american_scientific_journal-3085	69	15	where	where	SCONJ
american_scientific_journal-3085	69	16	k	k	PROPN
american_scientific_journal-3085	69	17	n	n	PROPN
american_scientific_journal-3085	69	18	.	.	PUNCT
american_scientific_journal-3085	70	1	see	see	VERB
american_scientific_journal-3085	70	2	fig	fig	NOUN
american_scientific_journal-3085	70	3	.	.	PUNCT
american_scientific_journal-3085	71	1	7	7	NUM
american_scientific_journal-3085	71	2	for	for	ADP
american_scientific_journal-3085	71	3	a	a	DET
american_scientific_journal-3085	71	4	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	71	5	path	path	NOUN
american_scientific_journal-3085	71	6	from	from	ADP
american_scientific_journal-3085	71	7	1	1	NUM
american_scientific_journal-3085	71	8	to	to	ADP
american_scientific_journal-3085	71	9	5k	5k	NUM
american_scientific_journal-3085	71	10	+	+	CCONJ
american_scientific_journal-3085	71	11	1	1	X
american_scientific_journal-3085	71	12	.	.	X
american_scientific_journal-3085	71	13	figure	figure	VERB
american_scientific_journal-3085	71	14	7	7	NUM
american_scientific_journal-3085	71	15	:	:	PUNCT
american_scientific_journal-3085	71	16	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	71	17	path	path	NOUN
american_scientific_journal-3085	71	18	connecting	connect	VERB
american_scientific_journal-3085	71	19	1	1	NUM
american_scientific_journal-3085	71	20	and	and	CCONJ
american_scientific_journal-3085	71	21	5k	5k	NUM
american_scientific_journal-3085	72	1	+	+	CCONJ
american_scientific_journal-3085	72	2	1	1	NUM
american_scientific_journal-3085	72	3	in	in	ADP
american_scientific_journal-3085	72	4	5	5	NUM
american_scientific_journal-3085	72	5	1	1	NUM
american_scientific_journal-3085	72	6	2,3kt	2,3kt	NUM
american_scientific_journal-3085	72	7			VERB
american_scientific_journal-3085	72	8	american	american	PROPN
american_scientific_journal-3085	72	9	scientific	scientific	PROPN
american_scientific_journal-3085	72	10	research	research	PROPN
american_scientific_journal-3085	72	11	journal	journal	NOUN
american_scientific_journal-3085	72	12	for	for	ADP
american_scientific_journal-3085	72	13	engineering	engineering	NOUN
american_scientific_journal-3085	72	14	,	,	PUNCT
american_scientific_journal-3085	72	15	technology	technology	NOUN
american_scientific_journal-3085	72	16	,	,	PUNCT
american_scientific_journal-3085	72	17	and	and	CCONJ
american_scientific_journal-3085	72	18	sciences	science	NOUN
american_scientific_journal-3085	72	19	(	(	PUNCT
american_scientific_journal-3085	72	20	asrjets	asrjet	NOUN
american_scientific_journal-3085	72	21	)	)	PUNCT
american_scientific_journal-3085	72	22	(	(	PUNCT
american_scientific_journal-3085	72	23	2017	2017	NUM
american_scientific_journal-3085	72	24	)	)	PUNCT
american_scientific_journal-3085	72	25	volume	volume	NOUN
american_scientific_journal-3085	72	26	33	33	NUM
american_scientific_journal-3085	72	27	,	,	PUNCT
american_scientific_journal-3085	72	28	no	no	DET
american_scientific_journal-3085	72	29	1	1	NUM
american_scientific_journal-3085	72	30	,	,	PUNCT
american_scientific_journal-3085	72	31	pp	pp	ADV
american_scientific_journal-3085	72	32	255	255	NUM
american_scientific_journal-3085	72	33	-	-	SYM
american_scientific_journal-3085	72	34	268	268	NUM
american_scientific_journal-3085	72	35	259	259	NUM
american_scientific_journal-3085	72	36	case	case	NOUN
american_scientific_journal-3085	72	37	2	2	NUM
american_scientific_journal-3085	72	38	.	.	PUNCT
american_scientific_journal-3085	73	1	the	the	DET
american_scientific_journal-3085	73	2	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	73	3	path	path	NOUN
american_scientific_journal-3085	73	4	connecting	connect	VERB
american_scientific_journal-3085	73	5	1	1	NUM
american_scientific_journal-3085	73	6	and	and	CCONJ
american_scientific_journal-3085	73	7	7	7	NUM
american_scientific_journal-3085	73	8	in	in	ADP
american_scientific_journal-3085	73	9	7	7	NUM
american_scientific_journal-3085	73	10	2,3	2,3	NUM
american_scientific_journal-3085	73	11	t	t	NOUN
american_scientific_journal-3085	73	12	is	be	AUX
american_scientific_journal-3085	73	13	shown	show	VERB
american_scientific_journal-3085	73	14	in	in	ADP
american_scientific_journal-3085	73	15	fig	fig	NOUN
american_scientific_journal-3085	73	16	.	.	PUNCT
american_scientific_journal-3085	74	1	8	8	NUM
american_scientific_journal-3085	74	2	.	.	PUNCT
american_scientific_journal-3085	75	1	if	if	SCONJ
american_scientific_journal-3085	75	2	n	n	NOUN
american_scientific_journal-3085	75	3	=	=	SYM
american_scientific_journal-3085	75	4	2	2	NUM
american_scientific_journal-3085	75	5	(	(	PUNCT
american_scientific_journal-3085	75	6	mod	mod	NOUN
american_scientific_journal-3085	75	7	5	5	NUM
american_scientific_journal-3085	75	8	)	)	PUNCT
american_scientific_journal-3085	75	9	,	,	PUNCT
american_scientific_journal-3085	75	10	then	then	ADV
american_scientific_journal-3085	75	11	we	we	PRON
american_scientific_journal-3085	75	12	can	can	AUX
american_scientific_journal-3085	75	13	write	write	VERB
american_scientific_journal-3085	75	14	n	n	PRON
american_scientific_journal-3085	75	15	=	=	SYM
american_scientific_journal-3085	75	16	5k	5k	NUM
american_scientific_journal-3085	75	17	+	+	CCONJ
american_scientific_journal-3085	75	18	2	2	NUM
american_scientific_journal-3085	75	19	where	where	SCONJ
american_scientific_journal-3085	75	20	.k	.k	PROPN
american_scientific_journal-3085	75	21	n	n	PROPN
american_scientific_journal-3085	75	22	for	for	ADP
american_scientific_journal-3085	75	23	any	any	DET
american_scientific_journal-3085	75	24	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	75	25	graph	graph	NOUN
american_scientific_journal-3085	75	26	5	5	NUM
american_scientific_journal-3085	75	27	2	2	NUM
american_scientific_journal-3085	75	28	2,3kt	2,3kt	NUM
american_scientific_journal-3085	75	29			VERB
american_scientific_journal-3085	75	30	for	for	ADP
american_scientific_journal-3085	75	31	2k	2k	NOUN
american_scientific_journal-3085	75	32			NUM
american_scientific_journal-3085	75	33	joining	join	VERB
american_scientific_journal-3085	75	34	the	the	DET
american_scientific_journal-3085	75	35	path	path	NOUN
american_scientific_journal-3085	75	36	of	of	ADP
american_scientific_journal-3085	75	37	fig	fig	NOUN
american_scientific_journal-3085	75	38	.	.	PUNCT
american_scientific_journal-3085	75	39	8	8	NUM
american_scientific_journal-3085	75	40	from	from	ADP
american_scientific_journal-3085	75	41	1	1	NUM
american_scientific_journal-3085	75	42	to	to	ADP
american_scientific_journal-3085	75	43	7	7	NUM
american_scientific_journal-3085	75	44	with	with	ADP
american_scientific_journal-3085	75	45	the	the	DET
american_scientific_journal-3085	75	46	path	path	NOUN
american_scientific_journal-3085	75	47	of	of	ADP
american_scientific_journal-3085	75	48	fig	fig	NOUN
american_scientific_journal-3085	75	49	.	.	PUNCT
american_scientific_journal-3085	75	50	7	7	NUM
american_scientific_journal-3085	75	51	from	from	ADP
american_scientific_journal-3085	75	52	7	7	NUM
american_scientific_journal-3085	75	53	to	to	ADP
american_scientific_journal-3085	75	54	5k	5k	NUM
american_scientific_journal-3085	75	55	+	+	CCONJ
american_scientific_journal-3085	75	56	2	2	NUM
american_scientific_journal-3085	75	57	we	we	PRON
american_scientific_journal-3085	75	58	get	get	VERB
american_scientific_journal-3085	75	59	the	the	DET
american_scientific_journal-3085	75	60	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	75	61	path	path	NOUN
american_scientific_journal-3085	75	62	connecting	connect	VERB
american_scientific_journal-3085	75	63	1	1	NUM
american_scientific_journal-3085	75	64	and	and	CCONJ
american_scientific_journal-3085	75	65	5k	5k	NUM
american_scientific_journal-3085	75	66	+	+	CCONJ
american_scientific_journal-3085	75	67	2	2	X
american_scientific_journal-3085	75	68	.	.	X
american_scientific_journal-3085	75	69	figure	figure	NOUN
american_scientific_journal-3085	75	70	8	8	NUM
american_scientific_journal-3085	75	71	:	:	PUNCT
american_scientific_journal-3085	75	72	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	75	73	path	path	NOUN
american_scientific_journal-3085	75	74	between	between	ADP
american_scientific_journal-3085	75	75	1	1	NUM
american_scientific_journal-3085	75	76	and	and	CCONJ
american_scientific_journal-3085	75	77	7	7	NUM
american_scientific_journal-3085	75	78	in	in	ADP
american_scientific_journal-3085	75	79	7	7	NUM
american_scientific_journal-3085	75	80	2,3	2,3	NUM
american_scientific_journal-3085	75	81	t	t	NOUN
american_scientific_journal-3085	75	82	case	case	NOUN
american_scientific_journal-3085	75	83	3	3	NUM
american_scientific_journal-3085	75	84	.	.	PUNCT
american_scientific_journal-3085	76	1	the	the	DET
american_scientific_journal-3085	76	2	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	76	3	path	path	NOUN
american_scientific_journal-3085	76	4	connecting	connect	VERB
american_scientific_journal-3085	76	5	1	1	NUM
american_scientific_journal-3085	76	6	and	and	CCONJ
american_scientific_journal-3085	76	7	13	13	NUM
american_scientific_journal-3085	76	8	in	in	ADP
american_scientific_journal-3085	76	9	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	76	10	graph	graph	NOUN
american_scientific_journal-3085	76	11	13	13	NUM
american_scientific_journal-3085	76	12	2,3	2,3	NUM
american_scientific_journal-3085	76	13	t	t	NOUN
american_scientific_journal-3085	76	14	,	,	PUNCT
american_scientific_journal-3085	76	15	is	be	AUX
american_scientific_journal-3085	76	16	shown	show	VERB
american_scientific_journal-3085	76	17	in	in	ADP
american_scientific_journal-3085	76	18	fig	fig	NOUN
american_scientific_journal-3085	76	19	.	.	PUNCT
american_scientific_journal-3085	77	1	9	9	X
american_scientific_journal-3085	77	2	.	.	X
american_scientific_journal-3085	78	1	if	if	SCONJ
american_scientific_journal-3085	78	2	n	n	NOUN
american_scientific_journal-3085	78	3	=	=	SYM
american_scientific_journal-3085	78	4	3	3	NUM
american_scientific_journal-3085	78	5	(	(	PUNCT
american_scientific_journal-3085	78	6	mod	mod	NOUN
american_scientific_journal-3085	78	7	5	5	NUM
american_scientific_journal-3085	78	8	)	)	PUNCT
american_scientific_journal-3085	78	9	,	,	PUNCT
american_scientific_journal-3085	78	10	then	then	ADV
american_scientific_journal-3085	78	11	we	we	PRON
american_scientific_journal-3085	78	12	can	can	AUX
american_scientific_journal-3085	78	13	write	write	VERB
american_scientific_journal-3085	78	14	n	n	PROPN
american_scientific_journal-3085	78	15	=	=	PROPN
american_scientific_journal-3085	78	16	5k+3	5k+3	PROPN
american_scientific_journal-3085	78	17	for	for	ADP
american_scientific_journal-3085	78	18	any	any	DET
american_scientific_journal-3085	78	19	2.k	2.k	NUM
american_scientific_journal-3085	78	20			NUM
american_scientific_journal-3085	78	21	the	the	DET
american_scientific_journal-3085	78	22	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	78	23	path	path	NOUN
american_scientific_journal-3085	78	24	joining	join	VERB
american_scientific_journal-3085	78	25	vertices	vertex	NOUN
american_scientific_journal-3085	78	26	1	1	NUM
american_scientific_journal-3085	78	27	and	and	CCONJ
american_scientific_journal-3085	78	28	5k	5k	NUM
american_scientific_journal-3085	78	29	+	+	CCONJ
american_scientific_journal-3085	78	30	3	3	NUM
american_scientific_journal-3085	78	31	in	in	ADP
american_scientific_journal-3085	78	32	any	any	DET
american_scientific_journal-3085	78	33	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	78	34	graph	graph	NOUN
american_scientific_journal-3085	78	35	5	5	NUM
american_scientific_journal-3085	78	36	3	3	NUM
american_scientific_journal-3085	78	37	2,3kt	2,3kt	NUM
american_scientific_journal-3085	78	38			VERB
american_scientific_journal-3085	78	39	for	for	ADP
american_scientific_journal-3085	78	40	3k	3k	PROPN
american_scientific_journal-3085	78	41			NUM
american_scientific_journal-3085	78	42	is	be	AUX
american_scientific_journal-3085	78	43	obtained	obtain	VERB
american_scientific_journal-3085	78	44	by	by	ADP
american_scientific_journal-3085	78	45	joining	join	VERB
american_scientific_journal-3085	78	46	the	the	DET
american_scientific_journal-3085	78	47	path	path	NOUN
american_scientific_journal-3085	78	48	of	of	ADP
american_scientific_journal-3085	78	49	fig	fig	NOUN
american_scientific_journal-3085	78	50	.	.	PUNCT
american_scientific_journal-3085	79	1	9	9	NUM
american_scientific_journal-3085	79	2	with	with	ADP
american_scientific_journal-3085	79	3	the	the	DET
american_scientific_journal-3085	79	4	path	path	NOUN
american_scientific_journal-3085	79	5	of	of	ADP
american_scientific_journal-3085	79	6	fig	fig	NOUN
american_scientific_journal-3085	79	7	7	7	NUM
american_scientific_journal-3085	79	8	.	.	PUNCT
american_scientific_journal-3085	79	9	figure	figure	NOUN
american_scientific_journal-3085	79	10	9	9	NUM
american_scientific_journal-3085	79	11	:	:	PUNCT
american_scientific_journal-3085	79	12	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	79	13	path	path	NOUN
american_scientific_journal-3085	79	14	connecting	connect	VERB
american_scientific_journal-3085	79	15	1	1	NUM
american_scientific_journal-3085	79	16	and	and	CCONJ
american_scientific_journal-3085	79	17	13	13	NUM
american_scientific_journal-3085	79	18	in	in	ADP
american_scientific_journal-3085	79	19	13	13	NUM
american_scientific_journal-3085	79	20	2,3	2,3	NUM
american_scientific_journal-3085	79	21	t	t	NOUN
american_scientific_journal-3085	79	22	case	case	NOUN
american_scientific_journal-3085	79	23	4	4	NUM
american_scientific_journal-3085	79	24	.	.	PUNCT
american_scientific_journal-3085	80	1	if	if	SCONJ
american_scientific_journal-3085	80	2	n	n	NOUN
american_scientific_journal-3085	80	3	=	=	SYM
american_scientific_journal-3085	80	4	4	4	NUM
american_scientific_journal-3085	80	5	(	(	PUNCT
american_scientific_journal-3085	80	6	mod	mod	NOUN
american_scientific_journal-3085	80	7	5	5	NUM
american_scientific_journal-3085	80	8	)	)	PUNCT
american_scientific_journal-3085	80	9	,	,	PUNCT
american_scientific_journal-3085	80	10	then	then	ADV
american_scientific_journal-3085	80	11	n	n	NOUN
american_scientific_journal-3085	80	12	=	=	SYM
american_scientific_journal-3085	80	13	5k	5k	NUM
american_scientific_journal-3085	80	14	+	+	CCONJ
american_scientific_journal-3085	80	15	4	4	NUM
american_scientific_journal-3085	80	16	for	for	ADP
american_scientific_journal-3085	80	17	.k	.k	PROPN
american_scientific_journal-3085	80	18	n	n	PROPN
american_scientific_journal-3085	80	19	in	in	ADP
american_scientific_journal-3085	80	20	the	the	DET
american_scientific_journal-3085	80	21	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	80	22	graph	graph	NOUN
american_scientific_journal-3085	80	23	9	9	NUM
american_scientific_journal-3085	80	24	2,3	2,3	NUM
american_scientific_journal-3085	80	25	t	t	NOUN
american_scientific_journal-3085	80	26	the	the	DET
american_scientific_journal-3085	80	27	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	80	28	path	path	NOUN
american_scientific_journal-3085	80	29	connecting	connect	VERB
american_scientific_journal-3085	80	30	1	1	NUM
american_scientific_journal-3085	80	31	and	and	CCONJ
american_scientific_journal-3085	80	32	9	9	NUM
american_scientific_journal-3085	80	33	is	be	AUX
american_scientific_journal-3085	80	34	shown	show	VERB
american_scientific_journal-3085	80	35	in	in	ADP
american_scientific_journal-3085	80	36	fig	fig	NOUN
american_scientific_journal-3085	80	37	.	.	PUNCT
american_scientific_journal-3085	81	1	10	10	NUM
american_scientific_journal-3085	81	2	.	.	PUNCT
american_scientific_journal-3085	82	1	the	the	DET
american_scientific_journal-3085	82	2	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	82	3	path	path	NOUN
american_scientific_journal-3085	82	4	connecting	connect	VERB
american_scientific_journal-3085	82	5	1	1	NUM
american_scientific_journal-3085	82	6	and	and	CCONJ
american_scientific_journal-3085	82	7	5k	5k	NUM
american_scientific_journal-3085	82	8	+	+	CCONJ
american_scientific_journal-3085	82	9	4	4	NUM
american_scientific_journal-3085	82	10	for	for	ADP
american_scientific_journal-3085	82	11	any	any	DET
american_scientific_journal-3085	82	12	2k	2k	NOUN
american_scientific_journal-3085	82	13			NUM
american_scientific_journal-3085	82	14	in	in	ADP
american_scientific_journal-3085	82	15	the	the	DET
american_scientific_journal-3085	82	16	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	82	17	graphs	graph	VERB
american_scientific_journal-3085	82	18	5	5	NUM
american_scientific_journal-3085	82	19	4	4	NUM
american_scientific_journal-3085	82	20	2,3kt	2,3kt	NUM
american_scientific_journal-3085	82	21			PUNCT
american_scientific_journal-3085	82	22	is	be	AUX
american_scientific_journal-3085	82	23	obtained	obtain	VERB
american_scientific_journal-3085	82	24	by	by	ADP
american_scientific_journal-3085	82	25	joining	join	VERB
american_scientific_journal-3085	82	26	the	the	DET
american_scientific_journal-3085	82	27	path	path	NOUN
american_scientific_journal-3085	82	28	of	of	ADP
american_scientific_journal-3085	82	29	fig	fig	NOUN
american_scientific_journal-3085	82	30	.	.	PUNCT
american_scientific_journal-3085	83	1	10	10	NUM
american_scientific_journal-3085	83	2	with	with	ADP
american_scientific_journal-3085	83	3	the	the	DET
american_scientific_journal-3085	83	4	path	path	NOUN
american_scientific_journal-3085	83	5	of	of	ADP
american_scientific_journal-3085	83	6	fig	fig	NOUN
american_scientific_journal-3085	83	7	.	.	PUNCT
american_scientific_journal-3085	84	1	7	7	X
american_scientific_journal-3085	84	2	.	.	X
american_scientific_journal-3085	84	3	figure	figure	NOUN
american_scientific_journal-3085	84	4	10	10	NUM
american_scientific_journal-3085	84	5	:	:	PUNCT
american_scientific_journal-3085	84	6	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	84	7	path	path	NOUN
american_scientific_journal-3085	84	8	connecting	connect	VERB
american_scientific_journal-3085	84	9	1	1	NUM
american_scientific_journal-3085	84	10	and	and	CCONJ
american_scientific_journal-3085	84	11	9	9	NUM
american_scientific_journal-3085	84	12	in	in	ADP
american_scientific_journal-3085	84	13	9	9	NUM
american_scientific_journal-3085	84	14	2,3	2,3	NUM
american_scientific_journal-3085	84	15	t	t	NOUN
american_scientific_journal-3085	84	16	case	case	NOUN
american_scientific_journal-3085	84	17	5	5	NUM
american_scientific_journal-3085	84	18	.	.	PUNCT
american_scientific_journal-3085	85	1	if	if	SCONJ
american_scientific_journal-3085	85	2	n	n	NOUN
american_scientific_journal-3085	85	3	=	=	SYM
american_scientific_journal-3085	85	4	0	0	PUNCT
american_scientific_journal-3085	86	1	(	(	PUNCT
american_scientific_journal-3085	86	2	mod	mod	PROPN
american_scientific_journal-3085	86	3	5	5	NUM
american_scientific_journal-3085	86	4	)	)	PUNCT
american_scientific_journal-3085	86	5	.	.	PUNCT
american_scientific_journal-3085	87	1	the	the	DET
american_scientific_journal-3085	87	2	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	87	3	path	path	NOUN
american_scientific_journal-3085	87	4	connecting	connect	VERB
american_scientific_journal-3085	87	5	1	1	NUM
american_scientific_journal-3085	87	6	and	and	CCONJ
american_scientific_journal-3085	87	7	10	10	NUM
american_scientific_journal-3085	87	8	in	in	ADP
american_scientific_journal-3085	87	9	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	87	10	graph	graph	NOUN
american_scientific_journal-3085	87	11	10	10	NUM
american_scientific_journal-3085	87	12	2,3	2,3	NUM
american_scientific_journal-3085	87	13	t	t	NOUN
american_scientific_journal-3085	87	14	is	be	AUX
american_scientific_journal-3085	87	15	shown	show	VERB
american_scientific_journal-3085	87	16	in	in	ADP
american_scientific_journal-3085	87	17	fig	fig	NOUN
american_scientific_journal-3085	87	18	.	.	PUNCT
american_scientific_journal-3085	88	1	american	american	ADJ
american_scientific_journal-3085	88	2	scientific	scientific	ADJ
american_scientific_journal-3085	88	3	research	research	PROPN
american_scientific_journal-3085	88	4	journal	journal	NOUN
american_scientific_journal-3085	88	5	for	for	ADP
american_scientific_journal-3085	88	6	engineering	engineering	NOUN
american_scientific_journal-3085	88	7	,	,	PUNCT
american_scientific_journal-3085	88	8	technology	technology	NOUN
american_scientific_journal-3085	88	9	,	,	PUNCT
american_scientific_journal-3085	88	10	and	and	CCONJ
american_scientific_journal-3085	88	11	sciences	science	NOUN
american_scientific_journal-3085	88	12	(	(	PUNCT
american_scientific_journal-3085	88	13	asrjets	asrjet	NOUN
american_scientific_journal-3085	88	14	)	)	PUNCT
american_scientific_journal-3085	88	15	(	(	PUNCT
american_scientific_journal-3085	88	16	2017	2017	NUM
american_scientific_journal-3085	88	17	)	)	PUNCT
american_scientific_journal-3085	88	18	volume	volume	NOUN
american_scientific_journal-3085	88	19	33	33	NUM
american_scientific_journal-3085	88	20	,	,	PUNCT
american_scientific_journal-3085	88	21	no	no	DET
american_scientific_journal-3085	88	22	1	1	NUM
american_scientific_journal-3085	88	23	,	,	PUNCT
american_scientific_journal-3085	88	24	pp	pp	ADV
american_scientific_journal-3085	88	25	255	255	NUM
american_scientific_journal-3085	88	26	-	-	SYM
american_scientific_journal-3085	88	27	268	268	NUM
american_scientific_journal-3085	88	28	260	260	NUM
american_scientific_journal-3085	88	29	11	11	NUM
american_scientific_journal-3085	88	30	while	while	SCONJ
american_scientific_journal-3085	88	31	the	the	DET
american_scientific_journal-3085	88	32	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	88	33	path	path	NOUN
american_scientific_journal-3085	88	34	connecting	connect	VERB
american_scientific_journal-3085	88	35	1	1	NUM
american_scientific_journal-3085	88	36	and	and	CCONJ
american_scientific_journal-3085	88	37	5k	5k	NUM
american_scientific_journal-3085	88	38	for	for	ADP
american_scientific_journal-3085	88	39	3k	3k	NUM
american_scientific_journal-3085	88	40			NUM
american_scientific_journal-3085	88	41	in	in	ADP
american_scientific_journal-3085	88	42	the	the	DET
american_scientific_journal-3085	88	43	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	88	44	graphs	graph	VERB
american_scientific_journal-3085	88	45	5	5	NUM
american_scientific_journal-3085	88	46	2,3kt	2,3kt	NUM
american_scientific_journal-3085	88	47	is	be	AUX
american_scientific_journal-3085	88	48	obtained	obtain	VERB
american_scientific_journal-3085	88	49	by	by	ADP
american_scientific_journal-3085	88	50	joining	join	VERB
american_scientific_journal-3085	88	51	paths	path	NOUN
american_scientific_journal-3085	88	52	of	of	ADP
american_scientific_journal-3085	88	53	fig	fig	NOUN
american_scientific_journal-3085	88	54	.	.	PUNCT
american_scientific_journal-3085	89	1	11	11	NUM
american_scientific_journal-3085	89	2	and	and	CCONJ
american_scientific_journal-3085	89	3	fig	fig	NOUN
american_scientific_journal-3085	89	4	.	.	PUNCT
american_scientific_journal-3085	90	1	7	7	X
american_scientific_journal-3085	90	2	.	.	X
american_scientific_journal-3085	90	3	corollary	corollary	ADJ
american_scientific_journal-3085	90	4	2.6	2.6	NUM
american_scientific_journal-3085	90	5	.	.	PUNCT
american_scientific_journal-3085	91	1	in	in	ADP
american_scientific_journal-3085	91	2	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	91	3	graphs	graph	NOUN
american_scientific_journal-3085	91	4	2,3nt	2,3nt	NUM
american_scientific_journal-3085	91	5	,	,	PUNCT
american_scientific_journal-3085	91	6	the	the	DET
american_scientific_journal-3085	91	7	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	91	8	path	path	NOUN
american_scientific_journal-3085	91	9			PROPN
american_scientific_journal-3085	91	10	,h	,h	NOUN
american_scientific_journal-3085	91	11	l	l	NOUN
american_scientific_journal-3085	91	12	m	m	VERB
american_scientific_journal-3085	91	13	exists	exist	VERB
american_scientific_journal-3085	91	14	for	for	ADP
american_scientific_journal-3085	91	15	5	5	NUM
american_scientific_journal-3085	91	16	m	m	NOUN
american_scientific_journal-3085	91	17	l	l	ADJ
american_scientific_journal-3085	91	18			NUM
american_scientific_journal-3085	91	19	and	and	CCONJ
american_scientific_journal-3085	91	20	7	7	NUM
american_scientific_journal-3085	91	21	m	m	NOUN
american_scientific_journal-3085	91	22	l	l	ADJ
american_scientific_journal-3085	91	23			NOUN
american_scientific_journal-3085	91	24	.	.	PUNCT
american_scientific_journal-3085	92	1	figure	figure	NOUN
american_scientific_journal-3085	92	2	11	11	NUM
american_scientific_journal-3085	92	3	:	:	PUNCT
american_scientific_journal-3085	92	4	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	92	5	path	path	NOUN
american_scientific_journal-3085	92	6	connecting	connect	VERB
american_scientific_journal-3085	92	7	1	1	NUM
american_scientific_journal-3085	92	8	and	and	CCONJ
american_scientific_journal-3085	92	9	10	10	NUM
american_scientific_journal-3085	92	10	in	in	ADP
american_scientific_journal-3085	92	11	10	10	NUM
american_scientific_journal-3085	92	12	2,3	2,3	NUM
american_scientific_journal-3085	92	13	t	t	NOUN
american_scientific_journal-3085	92	14	corollary	corollary	ADJ
american_scientific_journal-3085	92	15	2.7	2.7	NUM
american_scientific_journal-3085	92	16	.	.	PUNCT
american_scientific_journal-3085	93	1	the	the	DET
american_scientific_journal-3085	93	2	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	93	3	graph	graph	NOUN
american_scientific_journal-3085	93	4	2,3nt	2,3nt	NUM
american_scientific_journal-3085	93	5	for	for	ADP
american_scientific_journal-3085	93	6	n	n	NUM
american_scientific_journal-3085	93	7	≥	≥	NOUN
american_scientific_journal-3085	93	8	9	9	NUM
american_scientific_journal-3085	93	9	and	and	CCONJ
american_scientific_journal-3085	93	10	11n	11n	PROPN
american_scientific_journal-3085	93	11			NOUN
american_scientific_journal-3085	93	12	has	have	VERB
american_scientific_journal-3085	93	13	a	a	DET
american_scientific_journal-3085	93	14	path	path	NOUN
american_scientific_journal-3085	93	15	with	with	ADP
american_scientific_journal-3085	93	16	ends	end	NOUN
american_scientific_journal-3085	93	17	1	1	NUM
american_scientific_journal-3085	93	18	and	and	CCONJ
american_scientific_journal-3085	93	19	n	n	PRON
american_scientific_journal-3085	93	20	that	that	PRON
american_scientific_journal-3085	93	21	contains	contain	VERB
american_scientific_journal-3085	93	22	all	all	DET
american_scientific_journal-3085	93	23	vertices	vertex	NOUN
american_scientific_journal-3085	93	24	of	of	ADP
american_scientific_journal-3085	93	25	the	the	DET
american_scientific_journal-3085	93	26	graph	graph	NOUN
american_scientific_journal-3085	93	27	except	except	SCONJ
american_scientific_journal-3085	93	28	vertices	vertex	NOUN
american_scientific_journal-3085	93	29	2	2	NUM
american_scientific_journal-3085	93	30	and	and	CCONJ
american_scientific_journal-3085	93	31	3	3	NUM
american_scientific_journal-3085	93	32	.	.	X
american_scientific_journal-3085	94	1	proof	proof	NOUN
american_scientific_journal-3085	94	2	.	.	PUNCT
american_scientific_journal-3085	95	1	the	the	DET
american_scientific_journal-3085	95	2	required	required	ADJ
american_scientific_journal-3085	95	3	path	path	NOUN
american_scientific_journal-3085	95	4	is	be	AUX
american_scientific_journal-3085	95	5	“	"	PUNCT
american_scientific_journal-3085	95	6	1	1	NUM
american_scientific_journal-3085	95	7	,	,	PUNCT
american_scientific_journal-3085	95	8	4	4	NUM
american_scientific_journal-3085	95	9	,	,	PUNCT
american_scientific_journal-3085	95	10	h[4	h[4	PROPN
american_scientific_journal-3085	95	11	,	,	PUNCT
american_scientific_journal-3085	95	12	n	n	CCONJ
american_scientific_journal-3085	95	13	]	]	PUNCT
american_scientific_journal-3085	95	14	,	,	PUNCT
american_scientific_journal-3085	95	15	n	n	CCONJ
american_scientific_journal-3085	95	16	”	"	PUNCT
american_scientific_journal-3085	95	17	.	.	PUNCT
american_scientific_journal-3085	96	1	lemma	lemma	PROPN
american_scientific_journal-3085	96	2	2.8	2.8	NUM
american_scientific_journal-3085	96	3	.	.	PUNCT
american_scientific_journal-3085	97	1	the	the	DET
american_scientific_journal-3085	97	2	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	97	3	graphs	graph	VERB
american_scientific_journal-3085	97	4	2,3nt	2,3nt	NUM
american_scientific_journal-3085	97	5	for	for	ADP
american_scientific_journal-3085	97	6	all	all	DET
american_scientific_journal-3085	97	7	n	n	PRON
american_scientific_journal-3085	97	8	≥	≥	NOUN
american_scientific_journal-3085	97	9	7	7	NUM
american_scientific_journal-3085	97	10	has	have	VERB
american_scientific_journal-3085	97	11	a	a	DET
american_scientific_journal-3085	97	12	paths	path	NOUN
american_scientific_journal-3085	97	13			ADJ
american_scientific_journal-3085	97	14			NOUN
american_scientific_journal-3085	97	15	'	'	PUNCT
american_scientific_journal-3085	97	16	1	1	NUM
american_scientific_journal-3085	97	17	,	,	PUNCT
american_scientific_journal-3085	97	18	,	,	PUNCT
american_scientific_journal-3085	97	19	2p	2p	NUM
american_scientific_journal-3085	97	20	n	n	NOUN
american_scientific_journal-3085	97	21	and	and	CCONJ
american_scientific_journal-3085	97	22			ADJ
american_scientific_journal-3085	97	23			NOUN
american_scientific_journal-3085	97	24	'	'	PUNCT
american_scientific_journal-3085	97	25	1	1	NUM
american_scientific_journal-3085	97	26	,	,	PUNCT
american_scientific_journal-3085	97	27	,	,	PUNCT
american_scientific_journal-3085	97	28	1p	1p	NUM
american_scientific_journal-3085	97	29	n	n	CCONJ
american_scientific_journal-3085	97	30	n	n	PRON
american_scientific_journal-3085	97	31			NOUN
american_scientific_journal-3085	97	32	.	.	PUNCT
american_scientific_journal-3085	98	1	proof	proof	NOUN
american_scientific_journal-3085	98	2	.	.	PUNCT
american_scientific_journal-3085	99	1	the	the	DET
american_scientific_journal-3085	99	2	required	require	VERB
american_scientific_journal-3085	99	3	paths	path	NOUN
american_scientific_journal-3085	99	4	for	for	ADP
american_scientific_journal-3085	99	5	7	7	NUM
american_scientific_journal-3085	99	6	2,3	2,3	NUM
american_scientific_journal-3085	99	7	t	t	NOUN
american_scientific_journal-3085	99	8	and	and	CCONJ
american_scientific_journal-3085	99	9	10	10	NUM
american_scientific_journal-3085	99	10	2,3	2,3	NUM
american_scientific_journal-3085	99	11	t	t	NOUN
american_scientific_journal-3085	99	12	are	be	AUX
american_scientific_journal-3085	99	13	shown	show	VERB
american_scientific_journal-3085	99	14	in	in	ADP
american_scientific_journal-3085	99	15	fig	fig	NOUN
american_scientific_journal-3085	99	16	.	.	PUNCT
american_scientific_journal-3085	100	1	12	12	NUM
american_scientific_journal-3085	100	2	.	.	PUNCT
american_scientific_journal-3085	101	1	the	the	DET
american_scientific_journal-3085	101	2	required	required	ADJ
american_scientific_journal-3085	101	3	path	path	NOUN
american_scientific_journal-3085	101	4	for	for	ADP
american_scientific_journal-3085	101	5	all	all	DET
american_scientific_journal-3085	101	6	other	other	ADJ
american_scientific_journal-3085	101	7	n	n	VERB
american_scientific_journal-3085	101	8	is	be	AUX
american_scientific_journal-3085	101	9	obtained	obtain	VERB
american_scientific_journal-3085	101	10	by	by	ADP
american_scientific_journal-3085	101	11	first	first	ADV
american_scientific_journal-3085	101	12	connecting	connect	VERB
american_scientific_journal-3085	101	13	1	1	NUM
american_scientific_journal-3085	101	14	with	with	ADP
american_scientific_journal-3085	101	15	3	3	NUM
american_scientific_journal-3085	101	16	and	and	CCONJ
american_scientific_journal-3085	101	17	then	then	ADV
american_scientific_journal-3085	101	18	connecting	connect	VERB
american_scientific_journal-3085	101	19	3	3	NUM
american_scientific_journal-3085	101	20	with	with	ADP
american_scientific_journal-3085	101	21	n	n	NOUN
american_scientific_journal-3085	101	22	using	use	VERB
american_scientific_journal-3085	101	23	the	the	DET
american_scientific_journal-3085	101	24	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	101	25	path	path	NOUN
american_scientific_journal-3085	101	26	of	of	ADP
american_scientific_journal-3085	101	27	lemma	lemma	PROPN
american_scientific_journal-3085	101	28	2.5	2.5	NUM
american_scientific_journal-3085	101	29	.	.	PUNCT
american_scientific_journal-3085	102	1	due	due	ADP
american_scientific_journal-3085	102	2	to	to	ADP
american_scientific_journal-3085	102	3	symmetry	symmetry	NOUN
american_scientific_journal-3085	102	4	of	of	ADP
american_scientific_journal-3085	102	5	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	102	6	graph	graph	NOUN
american_scientific_journal-3085	102	7	there	there	PRON
american_scientific_journal-3085	102	8	is	be	VERB
american_scientific_journal-3085	102	9	a	a	DET
american_scientific_journal-3085	102	10	path	path	NOUN
american_scientific_journal-3085	102	11	with	with	ADP
american_scientific_journal-3085	102	12	ends	end	NOUN
american_scientific_journal-3085	102	13	1	1	NUM
american_scientific_journal-3085	102	14	and	and	CCONJ
american_scientific_journal-3085	102	15	n	n	PRON
american_scientific_journal-3085	102	16	that	that	PRON
american_scientific_journal-3085	102	17	contains	contain	VERB
american_scientific_journal-3085	102	18	all	all	DET
american_scientific_journal-3085	102	19	vertices	vertex	NOUN
american_scientific_journal-3085	102	20	except	except	SCONJ
american_scientific_journal-3085	102	21	n	n	ADV
american_scientific_journal-3085	102	22	−	−	PROPN
american_scientific_journal-3085	102	23	1	1	NUM
american_scientific_journal-3085	102	24	.	.	PUNCT
american_scientific_journal-3085	102	25	figure	figure	NOUN
american_scientific_journal-3085	102	26	12	12	NUM
american_scientific_journal-3085	102	27	:	:	PUNCT
american_scientific_journal-3085	102	28	path	path	NOUN
american_scientific_journal-3085	102	29	connecting	connect	VERB
american_scientific_journal-3085	102	30	1	1	NUM
american_scientific_journal-3085	102	31	and	and	CCONJ
american_scientific_journal-3085	102	32	n	n	NOUN
american_scientific_journal-3085	102	33	except	except	SCONJ
american_scientific_journal-3085	102	34	2	2	NUM
american_scientific_journal-3085	102	35	corollary	corollary	NOUN
american_scientific_journal-3085	102	36	2.9	2.9	NUM
american_scientific_journal-3085	102	37	.	.	PUNCT
american_scientific_journal-3085	103	1	in	in	ADP
american_scientific_journal-3085	103	2	2,3nt	2,3nt	NUM
american_scientific_journal-3085	103	3	the	the	DET
american_scientific_journal-3085	103	4	path	path	NOUN
american_scientific_journal-3085	103	5			PROPN
american_scientific_journal-3085	103	6			PROPN
american_scientific_journal-3085	103	7	'	'	PUNCT
american_scientific_journal-3085	103	8	,	,	PUNCT
american_scientific_journal-3085	103	9	,	,	PUNCT
american_scientific_journal-3085	103	10	p	p	X
american_scientific_journal-3085	103	11	l	l	NOUN
american_scientific_journal-3085	103	12	m	m	AUX
american_scientific_journal-3085	103	13	k	k	X
american_scientific_journal-3085	103	14	exists	exist	VERB
american_scientific_journal-3085	103	15	for	for	ADP
american_scientific_journal-3085	103	16	m	m	PROPN
american_scientific_journal-3085	103	17	−	−	PROPN
american_scientific_journal-3085	103	18	l	l	NOUN
american_scientific_journal-3085	103	19	≥	≥	NUM
american_scientific_journal-3085	103	20	6	6	NUM
american_scientific_journal-3085	103	21	.	.	PUNCT
american_scientific_journal-3085	104	1	lemma	lemma	PROPN
american_scientific_journal-3085	104	2	2.10	2.10	NUM
american_scientific_journal-3085	104	3	.	.	PUNCT
american_scientific_journal-3085	105	1	in	in	ADP
american_scientific_journal-3085	105	2	2,3nt	2,3nt	NUM
american_scientific_journal-3085	105	3	for	for	ADP
american_scientific_journal-3085	105	4	n	n	NUM
american_scientific_journal-3085	105	5	≥	≥	NUM
american_scientific_journal-3085	105	6	6	6	NUM
american_scientific_journal-3085	105	7	and	and	CCONJ
american_scientific_journal-3085	105	8	7n	7n	NUM
american_scientific_journal-3085	105	9			VERB
american_scientific_journal-3085	105	10	7	7	NUM
american_scientific_journal-3085	105	11	the	the	DET
american_scientific_journal-3085	105	12	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	105	13	paths	path	NOUN
american_scientific_journal-3085	105	14			PROPN
american_scientific_journal-3085	105	15	2	2	PROPN
american_scientific_journal-3085	105	16	1,nh	1,nh	NUM
american_scientific_journal-3085	105	17	n	n	CCONJ
american_scientific_journal-3085	105	18	and	and	CCONJ
american_scientific_journal-3085	105	19			ADJ
american_scientific_journal-3085	105	20	1	1	NOUN
american_scientific_journal-3085	105	21	1	1	NUM
american_scientific_journal-3085	105	22	1,nh	1,nh	NUM
american_scientific_journal-3085	105	23	n	n	NOUN
american_scientific_journal-3085	105	24	exists	exist	VERB
american_scientific_journal-3085	105	25	.	.	PUNCT
american_scientific_journal-3085	106	1	proof	proof	NOUN
american_scientific_journal-3085	106	2	.	.	PUNCT
american_scientific_journal-3085	107	1	in	in	ADP
american_scientific_journal-3085	107	2	6	6	NUM
american_scientific_journal-3085	107	3	2,3	2,3	NUM
american_scientific_journal-3085	107	4	t	t	NOUN
american_scientific_journal-3085	107	5	the	the	DET
american_scientific_journal-3085	107	6	required	require	VERB
american_scientific_journal-3085	107	7	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	107	8	path	path	NOUN
american_scientific_journal-3085	107	9	is	be	AUX
american_scientific_journal-3085	107	10	“	"	PUNCT
american_scientific_journal-3085	107	11	2,5,3,1,4,6	2,5,3,1,4,6	NUM
american_scientific_journal-3085	107	12	”	"	PUNCT
american_scientific_journal-3085	107	13	.	.	PUNCT
american_scientific_journal-3085	108	1	the	the	DET
american_scientific_journal-3085	108	2	path	path	NOUN
american_scientific_journal-3085	108	3	“	"	PUNCT
american_scientific_journal-3085	108	4	2,5,7,4,1,3,6,8	2,5,7,4,1,3,6,8	NUM
american_scientific_journal-3085	108	5	”	"	PUNCT
american_scientific_journal-3085	108	6	is	be	AUX
american_scientific_journal-3085	108	7	the	the	DET
american_scientific_journal-3085	108	8	required	require	VERB
american_scientific_journal-3085	108	9	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	108	10	path	path	NOUN
american_scientific_journal-3085	108	11	in	in	ADP
american_scientific_journal-3085	108	12	8	8	NUM
american_scientific_journal-3085	108	13	2,3	2,3	NUM
american_scientific_journal-3085	108	14	t	t	NOUN
american_scientific_journal-3085	108	15	.	.	PUNCT
american_scientific_journal-3085	109	1	the	the	DET
american_scientific_journal-3085	109	2	required	require	VERB
american_scientific_journal-3085	109	3	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	109	4	path	path	NOUN
american_scientific_journal-3085	109	5	in	in	ADP
american_scientific_journal-3085	109	6	9	9	NUM
american_scientific_journal-3085	109	7	2,3	2,3	NUM
american_scientific_journal-3085	109	8	t	t	NOUN
american_scientific_journal-3085	109	9	is	be	AUX
american_scientific_journal-3085	109	10	“	"	PUNCT
american_scientific_journal-3085	109	11	2,4,1,3,6,8,5,7,9	2,4,1,3,6,8,5,7,9	NUM
american_scientific_journal-3085	109	12	”	"	PUNCT
american_scientific_journal-3085	109	13	.	.	PUNCT
american_scientific_journal-3085	110	1	in	in	ADP
american_scientific_journal-3085	110	2	2,3nt	2,3nt	NUM
american_scientific_journal-3085	110	3	for	for	ADP
american_scientific_journal-3085	110	4	9n	9n	NUM
american_scientific_journal-3085	110	5			NUM
american_scientific_journal-3085	110	6	the	the	DET
american_scientific_journal-3085	110	7	required	require	VERB
american_scientific_journal-3085	110	8	path	path	NOUN
american_scientific_journal-3085	110	9	is	be	AUX
american_scientific_journal-3085	110	10	“	"	PUNCT
american_scientific_journal-3085	110	11			ADJ
american_scientific_journal-3085	110	12	2,4,1,3,p	2,4,1,3,p	NOUN
american_scientific_journal-3085	110	13	'	'	PUNCT
american_scientific_journal-3085	110	14	3	3	NUM
american_scientific_journal-3085	110	15	,	,	PUNCT
american_scientific_journal-3085	110	16	,	,	PUNCT
american_scientific_journal-3085	110	17	4	4	NUM
american_scientific_journal-3085	110	18	,	,	PUNCT
american_scientific_journal-3085	110	19	n	n	PRON
american_scientific_journal-3085	110	20	n	n	PRON
american_scientific_journal-3085	110	21	”	"	PUNCT
american_scientific_journal-3085	110	22	.	.	PUNCT
american_scientific_journal-3085	111	1	lemma	lemma	PROPN
american_scientific_journal-3085	111	2	2.11	2.11	NUM
american_scientific_journal-3085	111	3	.	.	PUNCT
american_scientific_journal-3085	112	1	in	in	ADP
american_scientific_journal-3085	112	2	2,3,nt	2,3,nt	NUM
american_scientific_journal-3085	112	3	t	t	NOUN
american_scientific_journal-3085	112	4	,	,	PUNCT
american_scientific_journal-3085	112	5	n	n	X
american_scientific_journal-3085	112	6	≥	≥	NUM
american_scientific_journal-3085	112	7	20	20	NUM
american_scientific_journal-3085	112	8	and	and	CCONJ
american_scientific_journal-3085	112	9	4	4	NUM
american_scientific_journal-3085	112	10	≤	≤	NOUN
american_scientific_journal-3085	112	11	t	t	NOUN
american_scientific_journal-3085	112	12	≤	≤	NOUN
american_scientific_journal-3085	112	13	n	n	CCONJ
american_scientific_journal-3085	112	14	−	−	PROPN
american_scientific_journal-3085	112	15	11	11	NUM
american_scientific_journal-3085	112	16	,	,	PUNCT
american_scientific_journal-3085	112	17	the	the	DET
american_scientific_journal-3085	112	18	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	112	19	path	path	PROPN
american_scientific_journal-3085	112	20			PROPN
american_scientific_journal-3085	112	21	1	1	PROPN
american_scientific_journal-3085	112	22	1,xh	1,xh	PROPN
american_scientific_journal-3085	112	23	n	n	PROPN
american_scientific_journal-3085	112	24	exists	exist	VERB
american_scientific_journal-3085	112	25	for	for	ADP
american_scientific_journal-3085	112	26	all	all	PRON
american_scientific_journal-3085	112	27	2	2	NUM
american_scientific_journal-3085	112	28	x	x	SYM
american_scientific_journal-3085	112	29	n	n	NOUN
american_scientific_journal-3085	112	30			NOUN
american_scientific_journal-3085	112	31	.	.	PUNCT
american_scientific_journal-3085	113	1	american	american	ADJ
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american_scientific_journal-3085	113	9	,	,	PUNCT
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american_scientific_journal-3085	113	30	.	.	PUNCT
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american_scientific_journal-3085	121	118	−	−	PROPN
american_scientific_journal-3085	121	119	3	3	NUM
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american_scientific_journal-3085	121	122	2,3,nt	2,3,nt	NUM
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american_scientific_journal-3085	121	124	,	,	PUNCT
american_scientific_journal-3085	121	125	for	for	ADP
american_scientific_journal-3085	121	126	different	different	ADJ
american_scientific_journal-3085	121	127	values	value	NOUN
american_scientific_journal-3085	121	128	of	of	ADP
american_scientific_journal-3085	121	129	t	t	PROPN
american_scientific_journal-3085	121	130	is	be	AUX
american_scientific_journal-3085	121	131	shown	show	VERB
american_scientific_journal-3085	121	132	in	in	ADP
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american_scientific_journal-3085	121	134	2	2	NUM
american_scientific_journal-3085	121	135	.	.	PUNCT
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american_scientific_journal-3085	121	137	2	2	NUM
american_scientific_journal-3085	121	138	:	:	PUNCT
american_scientific_journal-3085	121	139	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	121	140	path	path	NOUN
american_scientific_journal-3085	121	141	between	between	ADP
american_scientific_journal-3085	121	142	1	1	NUM
american_scientific_journal-3085	121	143	and	and	CCONJ
american_scientific_journal-3085	121	144	n	n	NOUN
american_scientific_journal-3085	121	145	−	−	PROPN
american_scientific_journal-3085	121	146	3	3	X
american_scientific_journal-3085	121	147	.	.	PUNCT
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american_scientific_journal-3085	122	2	on	on	ADP
american_scientific_journal-3085	122	3	t	t	PROPN
american_scientific_journal-3085	122	4	hamiltonian	hamiltonian	PROPN
american_scientific_journal-3085	122	5	path	path	PROPN
american_scientific_journal-3085	122	6	t	t	PROPN
american_scientific_journal-3085	123	1	=	=	PUNCT
american_scientific_journal-3085	123	2	4,(n	4,(n	NUM
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american_scientific_journal-3085	123	4	14	14	NUM
american_scientific_journal-3085	123	5	)	)	PUNCT
american_scientific_journal-3085	123	6	1	1	NUM
american_scientific_journal-3085	123	7	,	,	PUNCT
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american_scientific_journal-3085	123	9	,	,	PUNCT
american_scientific_journal-3085	123	10	n	n	CCONJ
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american_scientific_journal-3085	123	14	,	,	PUNCT
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american_scientific_journal-3085	123	17	5	5	NUM
american_scientific_journal-3085	123	18	,	,	PUNCT
american_scientific_journal-3085	123	19	n	n	CCONJ
american_scientific_journal-3085	123	20	−	−	PROPN
american_scientific_journal-3085	123	21	1	1	NUM
american_scientific_journal-3085	123	22	,	,	PUNCT
american_scientific_journal-3085	123	23	n	n	CCONJ
american_scientific_journal-3085	123	24	−	−	PROPN
american_scientific_journal-3085	123	25	4	4	NUM
american_scientific_journal-3085	123	26	,	,	PUNCT
american_scientific_journal-3085	123	27	n	n	CCONJ
american_scientific_journal-3085	123	28	−	−	PROPN
american_scientific_journal-3085	123	29	2	2	NUM
american_scientific_journal-3085	123	30	,	,	PUNCT
american_scientific_journal-3085	123	31	n	n	CCONJ
american_scientific_journal-3085	123	32	,	,	PUNCT
american_scientific_journal-3085	123	33	n	n	CCONJ
american_scientific_journal-3085	123	34	−	−	PROPN
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american_scientific_journal-3085	123	36	.	.	PUNCT
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american_scientific_journal-3085	124	2	=	=	SYM
american_scientific_journal-3085	124	3	5	5	NUM
american_scientific_journal-3085	124	4	,	,	PUNCT
american_scientific_journal-3085	124	5	(	(	PUNCT
american_scientific_journal-3085	124	6	n	n	X
american_scientific_journal-3085	124	7	≥	≥	NOUN
american_scientific_journal-3085	124	8	14	14	NUM
american_scientific_journal-3085	124	9	)	)	PUNCT
american_scientific_journal-3085	124	10	1	1	NUM
american_scientific_journal-3085	124	11	,	,	PUNCT
american_scientific_journal-3085	124	12	h[1	h[1	ADV
american_scientific_journal-3085	124	13	,	,	PUNCT
american_scientific_journal-3085	124	14	n	n	CCONJ
american_scientific_journal-3085	124	15	−	−	PROPN
american_scientific_journal-3085	124	16	5	5	NUM
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american_scientific_journal-3085	124	18	,	,	PUNCT
american_scientific_journal-3085	124	19	n	n	CCONJ
american_scientific_journal-3085	124	20	−	−	PROPN
american_scientific_journal-3085	124	21	5	5	NUM
american_scientific_journal-3085	124	22	,	,	PUNCT
american_scientific_journal-3085	124	23	n	n	CCONJ
american_scientific_journal-3085	124	24	,	,	PUNCT
american_scientific_journal-3085	124	25	n	n	CCONJ
american_scientific_journal-3085	125	1	−	−	PROPN
american_scientific_journal-3085	125	2	2	2	NUM
american_scientific_journal-3085	125	3	,	,	PUNCT
american_scientific_journal-3085	125	4	n	n	CCONJ
american_scientific_journal-3085	125	5	−	−	PROPN
american_scientific_journal-3085	125	6	4	4	NUM
american_scientific_journal-3085	125	7	,	,	PUNCT
american_scientific_journal-3085	125	8	n	n	CCONJ
american_scientific_journal-3085	125	9	−	−	PROPN
american_scientific_journal-3085	125	10	1	1	NUM
american_scientific_journal-3085	125	11	,	,	PUNCT
american_scientific_journal-3085	125	12	n	n	CCONJ
american_scientific_journal-3085	125	13	−	−	PROPN
american_scientific_journal-3085	125	14	3	3	NUM
american_scientific_journal-3085	125	15	.	.	PUNCT
american_scientific_journal-3085	125	16	t	t	NOUN
american_scientific_journal-3085	125	17	=	=	SYM
american_scientific_journal-3085	125	18	6	6	NUM
american_scientific_journal-3085	125	19	,	,	PUNCT
american_scientific_journal-3085	125	20	(	(	PUNCT
american_scientific_journal-3085	125	21	n	n	X
american_scientific_journal-3085	125	22	≥	≥	NOUN
american_scientific_journal-3085	125	23	13	13	NUM
american_scientific_journal-3085	125	24	)	)	PUNCT
american_scientific_journal-3085	125	25	1	1	NUM
american_scientific_journal-3085	125	26	,	,	PUNCT
american_scientific_journal-3085	125	27			ADJ
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american_scientific_journal-3085	125	30	1	1	NUM
american_scientific_journal-3085	125	31	,	,	PUNCT
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american_scientific_journal-3085	125	33	,	,	PUNCT
american_scientific_journal-3085	125	34	7p	7p	NUM
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american_scientific_journal-3085	125	40	−	−	PROPN
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american_scientific_journal-3085	125	45	n	n	CCONJ
american_scientific_journal-3085	125	46	−	−	PROPN
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american_scientific_journal-3085	125	52	,	,	PUNCT
american_scientific_journal-3085	125	53	n	n	CCONJ
american_scientific_journal-3085	125	54	−	−	PROPN
american_scientific_journal-3085	125	55	7	7	NUM
american_scientific_journal-3085	125	56	,	,	PUNCT
american_scientific_journal-3085	125	57	n	n	PRON
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american_scientific_journal-3085	125	59	,	,	PUNCT
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american_scientific_journal-3085	127	1	=	=	SYM
american_scientific_journal-3085	128	1	7	7	NUM
american_scientific_journal-3085	128	2	,	,	PUNCT
american_scientific_journal-3085	128	3	(	(	PUNCT
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american_scientific_journal-3085	128	6	14	14	NUM
american_scientific_journal-3085	128	7	)	)	PUNCT
american_scientific_journal-3085	128	8	1	1	NUM
american_scientific_journal-3085	128	9	,	,	PUNCT
american_scientific_journal-3085	128	10	p	p	X
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american_scientific_journal-3085	128	13	n	n	CCONJ
american_scientific_journal-3085	128	14	−	−	PROPN
american_scientific_journal-3085	128	15	7	7	NUM
american_scientific_journal-3085	128	16	,	,	PUNCT
american_scientific_journal-3085	128	17	n	n	CCONJ
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american_scientific_journal-3085	128	22	n	n	CCONJ
american_scientific_journal-3085	128	23	−	−	PROPN
american_scientific_journal-3085	128	24	7	7	NUM
american_scientific_journal-3085	128	25	,	,	PUNCT
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american_scientific_journal-3085	128	27	,	,	PUNCT
american_scientific_journal-3085	128	28	n	n	CCONJ
american_scientific_journal-3085	128	29	−	−	PROPN
american_scientific_journal-3085	128	30	2	2	NUM
american_scientific_journal-3085	128	31	,	,	PUNCT
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american_scientific_journal-3085	128	33	−	−	PROPN
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american_scientific_journal-3085	128	35	,	,	PUNCT
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american_scientific_journal-3085	128	42	,	,	PUNCT
american_scientific_journal-3085	128	43	n	n	CCONJ
american_scientific_journal-3085	128	44	−	−	PROPN
american_scientific_journal-3085	128	45	4	4	NUM
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american_scientific_journal-3085	128	50	,	,	PUNCT
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american_scientific_journal-3085	128	52	−	−	PROPN
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american_scientific_journal-3085	129	4	=	=	SYM
american_scientific_journal-3085	129	5	8	8	NUM
american_scientific_journal-3085	129	6	,	,	PUNCT
american_scientific_journal-3085	129	7	(	(	PUNCT
american_scientific_journal-3085	129	8	n	n	X
american_scientific_journal-3085	129	9	≥	≥	NUM
american_scientific_journal-3085	129	10	15	15	NUM
american_scientific_journal-3085	129	11	)	)	PUNCT
american_scientific_journal-3085	129	12	1	1	NUM
american_scientific_journal-3085	129	13	,	,	PUNCT
american_scientific_journal-3085	129	14	p	p	X
american_scientific_journal-3085	129	15	l[1	l[1	PROPN
american_scientific_journal-3085	129	16	,	,	PUNCT
american_scientific_journal-3085	129	17	n	n	CCONJ
american_scientific_journal-3085	129	18	−	−	PROPN
american_scientific_journal-3085	129	19	8	8	NUM
american_scientific_journal-3085	129	20	,	,	PUNCT
american_scientific_journal-3085	129	21	n	n	CCONJ
american_scientific_journal-3085	129	22	−	−	PROPN
american_scientific_journal-3085	129	23	9	9	NUM
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american_scientific_journal-3085	129	25	,	,	PUNCT
american_scientific_journal-3085	129	26	n	n	CCONJ
american_scientific_journal-3085	129	27	−	−	PROPN
american_scientific_journal-3085	129	28	8	8	NUM
american_scientific_journal-3085	129	29	,	,	PUNCT
american_scientific_journal-3085	129	30	n	n	CCONJ
american_scientific_journal-3085	129	31	,	,	PUNCT
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american_scientific_journal-3085	129	33	−	−	PROPN
american_scientific_journal-3085	129	34	2	2	NUM
american_scientific_journal-3085	129	35	,	,	PUNCT
american_scientific_journal-3085	129	36	n	n	CCONJ
american_scientific_journal-3085	129	37	−	−	PROPN
american_scientific_journal-3085	129	38	5	5	NUM
american_scientific_journal-3085	129	39	,	,	PUNCT
american_scientific_journal-3085	129	40	n	n	CCONJ
american_scientific_journal-3085	129	41	−	−	PROPN
american_scientific_journal-3085	129	42	7	7	NUM
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american_scientific_journal-3085	129	44	n	n	PRON
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american_scientific_journal-3085	129	46	,	,	PUNCT
american_scientific_journal-3085	129	47	n	n	PROPN
american_scientific_journal-3085	129	48	−	−	PROPN
american_scientific_journal-3085	129	49	6	6	NUM
american_scientific_journal-3085	129	50	,	,	PUNCT
american_scientific_journal-3085	129	51	n	n	CCONJ
american_scientific_journal-3085	129	52	−	−	PROPN
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american_scientific_journal-3085	129	54	,	,	PUNCT
american_scientific_journal-3085	129	55	n	n	CCONJ
american_scientific_journal-3085	129	56	−	−	PROPN
american_scientific_journal-3085	129	57	1	1	NUM
american_scientific_journal-3085	129	58	,	,	PUNCT
american_scientific_journal-3085	129	59	n	n	CCONJ
american_scientific_journal-3085	129	60	−	−	PROPN
american_scientific_journal-3085	130	1	3	3	NUM
american_scientific_journal-3085	130	2	.	.	NOUN
american_scientific_journal-3085	130	3	9	9	NUM
american_scientific_journal-3085	130	4	≤	≤	NUM
american_scientific_journal-3085	130	5	t	t	NOUN
american_scientific_journal-3085	130	6	≤	≤	NOUN
american_scientific_journal-3085	130	7	n	n	CCONJ
american_scientific_journal-3085	130	8	−	−	PROPN
american_scientific_journal-3085	130	9	11	11	NUM
american_scientific_journal-3085	130	10	,	,	PUNCT
american_scientific_journal-3085	130	11	(	(	PUNCT
american_scientific_journal-3085	130	12	n	n	X
american_scientific_journal-3085	130	13	≥	≥	NOUN
american_scientific_journal-3085	130	14	20	20	NUM
american_scientific_journal-3085	130	15	)	)	PUNCT
american_scientific_journal-3085	130	16	1	1	NUM
american_scientific_journal-3085	130	17	,	,	PUNCT
american_scientific_journal-3085	130	18	h[1	h[1	ADV
american_scientific_journal-3085	130	19	,	,	PUNCT
american_scientific_journal-3085	130	20	n	n	PRON
american_scientific_journal-3085	130	21	−	−	PROPN
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american_scientific_journal-3085	130	23	−	−	NOUN
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american_scientific_journal-3085	130	26	,	,	PUNCT
american_scientific_journal-3085	130	27	n	n	PRON
american_scientific_journal-3085	130	28	−	−	PROPN
american_scientific_journal-3085	130	29	t	t	NOUN
american_scientific_journal-3085	130	30	−	−	NOUN
american_scientific_journal-3085	130	31	2	2	NUM
american_scientific_journal-3085	130	32	,	,	PUNCT
american_scientific_journal-3085	130	33	p	p	X
american_scientific_journal-3085	131	1	[	[	X
american_scientific_journal-3085	131	2	n	n	NUM
american_scientific_journal-3085	131	3	−	−	PROPN
american_scientific_journal-3085	131	4	t	t	NOUN
american_scientific_journal-3085	131	5	−	−	PROPN
american_scientific_journal-3085	131	6	2	2	NUM
american_scientific_journal-3085	131	7	,	,	PUNCT
american_scientific_journal-3085	131	8	n	n	PRON
american_scientific_journal-3085	131	9	−	−	PROPN
american_scientific_journal-3085	131	10	t	t	NOUN
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american_scientific_journal-3085	131	12	1	1	NUM
american_scientific_journal-3085	131	13	,	,	PUNCT
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american_scientific_journal-3085	131	18	n	n	PRON
american_scientific_journal-3085	131	19	−	−	PROPN
american_scientific_journal-3085	131	20	t	t	NOUN
american_scientific_journal-3085	131	21	−	−	NOUN
american_scientific_journal-3085	131	22	1	1	NUM
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american_scientific_journal-3085	131	24	n	n	CCONJ
american_scientific_journal-3085	131	25	−	−	PROPN
american_scientific_journal-3085	131	26	1	1	NUM
american_scientific_journal-3085	131	27	,	,	PUNCT
american_scientific_journal-3085	131	28	n	n	CCONJ
american_scientific_journal-3085	131	29	−	−	PROPN
american_scientific_journal-3085	131	30	4	4	NUM
american_scientific_journal-3085	131	31	,	,	PUNCT
american_scientific_journal-3085	131	32	n	n	CCONJ
american_scientific_journal-3085	131	33	−	−	PROPN
american_scientific_journal-3085	131	34	2	2	NUM
american_scientific_journal-3085	131	35	,	,	PUNCT
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american_scientific_journal-3085	131	39	−	−	PROPN
american_scientific_journal-3085	131	40	3	3	X
american_scientific_journal-3085	131	41	.	.	PUNCT
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american_scientific_journal-3085	132	4	shown	show	VERB
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american_scientific_journal-3085	150	8	and	and	CCONJ
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american_scientific_journal-3085	150	27	1	1	NUM
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american_scientific_journal-3085	150	30	≤	≤	NUM
american_scientific_journal-3085	150	31	n	n	CCONJ
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american_scientific_journal-3085	152	8	1	1	NUM
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american_scientific_journal-3085	152	16	2.11	2.11	NUM
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american_scientific_journal-3085	152	20	.	.	PUNCT
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american_scientific_journal-3085	153	6	4	4	NUM
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american_scientific_journal-3085	153	11	5	5	NUM
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american_scientific_journal-3085	153	21	,	,	PUNCT
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american_scientific_journal-3085	153	34	1	1	NUM
american_scientific_journal-3085	153	35	,	,	PUNCT
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american_scientific_journal-3085	153	40	263	263	NUM
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american_scientific_journal-3085	153	42	5	5	NUM
american_scientific_journal-3085	153	43	:	:	PUNCT
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american_scientific_journal-3085	153	47	3	3	NUM
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american_scientific_journal-3085	153	49	4	4	NUM
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american_scientific_journal-3085	153	52	t	t	PROPN
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american_scientific_journal-3085	154	1	4,t	4,t	NUM
american_scientific_journal-3085	154	2			PROPN
american_scientific_journal-3085	154	3			PROPN
american_scientific_journal-3085	154	4	10n	10n	PROPN
american_scientific_journal-3085	154	5			NUM
american_scientific_journal-3085	154	6			PROPN
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american_scientific_journal-3085	154	8	,	,	PUNCT
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american_scientific_journal-3085	154	11	,	,	PUNCT
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american_scientific_journal-3085	154	14	5,t	5,t	NUM
american_scientific_journal-3085	154	15			PROPN
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american_scientific_journal-3085	159	2	t	t	X
american_scientific_journal-3085	159	3	+	+	NOUN
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american_scientific_journal-3085	162	5	3	3	NUM
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american_scientific_journal-3085	216	1	[	[	X
american_scientific_journal-3085	216	2	t	t	X
american_scientific_journal-3085	216	3	+	+	NOUN
american_scientific_journal-3085	216	4	2	2	NUM
american_scientific_journal-3085	216	5	,	,	PUNCT
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american_scientific_journal-3085	216	12	,	,	PUNCT
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american_scientific_journal-3085	217	19	n	n	PROPN
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american_scientific_journal-3085	217	37	25	25	NUM
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american_scientific_journal-3085	242	2	1	1	NUM
american_scientific_journal-3085	242	3	,	,	PUNCT
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american_scientific_journal-3085	250	27	given	give	VERB
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american_scientific_journal-3085	250	31	.	.	PUNCT
american_scientific_journal-3085	251	1	the	the	DET
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american_scientific_journal-3085	251	9	8	8	NUM
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american_scientific_journal-3085	251	13	2,3,nt	2,3,nt	NUM
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american_scientific_journal-3085	251	16	all	all	DET
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american_scientific_journal-3085	251	18	of	of	ADP
american_scientific_journal-3085	251	19	4	4	NUM
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american_scientific_journal-3085	251	21	t	t	NOUN
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american_scientific_journal-3085	251	24	−	−	PROPN
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american_scientific_journal-3085	251	27	given	give	VERB
american_scientific_journal-3085	251	28	in	in	ADP
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american_scientific_journal-3085	251	30	14	14	NUM
american_scientific_journal-3085	251	31	.	.	PUNCT
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american_scientific_journal-3085	252	9	,	,	PUNCT
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american_scientific_journal-3085	252	12	(	(	PUNCT
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american_scientific_journal-3085	252	20	,	,	PUNCT
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american_scientific_journal-3085	252	22	1	1	NUM
american_scientific_journal-3085	252	23	,	,	PUNCT
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american_scientific_journal-3085	252	26	-	-	SYM
american_scientific_journal-3085	252	27	268	268	NUM
american_scientific_journal-3085	252	28	266	266	NUM
american_scientific_journal-3085	252	29	the	the	DET
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american_scientific_journal-3085	252	32	of	of	ADP
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american_scientific_journal-3085	252	36	vertex	vertex	NOUN
american_scientific_journal-3085	252	37	9	9	NUM
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american_scientific_journal-3085	304	50	10	10	NUM
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american_scientific_journal-3085	305	3	=	=	SYM
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american_scientific_journal-3085	305	5	,	,	PUNCT
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american_scientific_journal-3085	305	21	9	9	NUM
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american_scientific_journal-3085	305	25	9	9	NUM
american_scientific_journal-3085	305	26	6,h	6,h	NUM
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american_scientific_journal-3085	305	28	,	,	PUNCT
american_scientific_journal-3085	305	29	10	10	NUM
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american_scientific_journal-3085	305	31	9	9	NUM
american_scientific_journal-3085	305	32	the	the	DET
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american_scientific_journal-3085	305	46			VERB
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american_scientific_journal-3085	305	61			PROPN
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american_scientific_journal-3085	305	66			NUM
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american_scientific_journal-3085	307	75	7	7	NUM
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american_scientific_journal-3085	308	3			NUM
american_scientific_journal-3085	308	4			PROPN
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american_scientific_journal-3085	308	35	≤	≤	NOUN
american_scientific_journal-3085	308	36	n	n	CCONJ
american_scientific_journal-3085	308	37	−	−	PROPN
american_scientific_journal-3085	308	38	7	7	NUM
american_scientific_journal-3085	308	39	,	,	PUNCT
american_scientific_journal-3085	308	40	x	x	X
american_scientific_journal-3085	308	41	=	=	PUNCT
american_scientific_journal-3085	308	42	t+1	t+1	PROPN
american_scientific_journal-3085	308	43	,	,	PUNCT
american_scientific_journal-3085	308	44	(	(	PUNCT
american_scientific_journal-3085	308	45	n	n	X
american_scientific_journal-3085	308	46	≥	≥	NOUN
american_scientific_journal-3085	308	47	21	21	NUM
american_scientific_journal-3085	308	48	)	)	PUNCT
american_scientific_journal-3085	308	49	4	4	NUM
american_scientific_journal-3085	308	50	,	,	PUNCT
american_scientific_journal-3085	308	51	1	1	NUM
american_scientific_journal-3085	308	52	,	,	PUNCT
american_scientific_journal-3085	308	53	3	3	NUM
american_scientific_journal-3085	308	54	,	,	PUNCT
american_scientific_journal-3085	308	55	5	5	NUM
american_scientific_journal-3085	308	56	,	,	PUNCT
american_scientific_journal-3085	308	57	2	2	NUM
american_scientific_journal-3085	308	58	,	,	PUNCT
american_scientific_journal-3085	308	59	t	t	NOUN
american_scientific_journal-3085	308	60	+	+	CCONJ
american_scientific_journal-3085	308	61	2	2	NUM
american_scientific_journal-3085	308	62	,	,	PUNCT
american_scientific_journal-3085	308	63			ADJ
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american_scientific_journal-3085	308	65	6,x	6,x	NUM
american_scientific_journal-3085	308	66	th	th	NUM
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american_scientific_journal-3085	308	68	,	,	PUNCT
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american_scientific_journal-3085	308	72	11	11	NUM
american_scientific_journal-3085	308	73	≤	≤	NUM
american_scientific_journal-3085	308	74	x	x	SYM
american_scientific_journal-3085	308	75	≤	≤	NUM
american_scientific_journal-3085	308	76	n	n	CCONJ
american_scientific_journal-3085	308	77	−	−	PROPN
american_scientific_journal-3085	308	78	5	5	NUM
american_scientific_journal-3085	308	79	.	.	SYM
american_scientific_journal-3085	308	80	10	10	NUM
american_scientific_journal-3085	308	81	≤	≤	NUM
american_scientific_journal-3085	308	82	t	t	X
american_scientific_journal-3085	308	83	≤	≤	NOUN
american_scientific_journal-3085	308	84	n	n	CCONJ
american_scientific_journal-3085	308	85	−	−	PROPN
american_scientific_journal-3085	308	86	7,x	7,x	NUM
american_scientific_journal-3085	308	87	/=	/=	NOUN
american_scientific_journal-3085	308	88	t+1	t+1	NUM
american_scientific_journal-3085	308	89	,	,	PUNCT
american_scientific_journal-3085	308	90	(	(	PUNCT
american_scientific_journal-3085	308	91	n	n	X
american_scientific_journal-3085	308	92	≥	≥	NOUN
american_scientific_journal-3085	308	93	21	21	NUM
american_scientific_journal-3085	308	94	)	)	PUNCT
american_scientific_journal-3085	308	95	4	4	NUM
american_scientific_journal-3085	308	96	,	,	PUNCT
american_scientific_journal-3085	308	97	2	2	NUM
american_scientific_journal-3085	308	98	,	,	PUNCT
american_scientific_journal-3085	308	99	5	5	NUM
american_scientific_journal-3085	308	100	,	,	PUNCT
american_scientific_journal-3085	308	101	3	3	NUM
american_scientific_journal-3085	308	102	,	,	PUNCT
american_scientific_journal-3085	308	103	1	1	NUM
american_scientific_journal-3085	308	104	,	,	PUNCT
american_scientific_journal-3085	308	105	t+1	t+1	PROPN
american_scientific_journal-3085	308	106	,	,	PUNCT
american_scientific_journal-3085	308	107			ADJ
american_scientific_journal-3085	308	108	1	1	PROPN
american_scientific_journal-3085	308	109	6,t	6,t	ADV
american_scientific_journal-3085	308	110	xh	xh	PROPN
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american_scientific_journal-3085	308	112	,	,	PUNCT
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american_scientific_journal-3085	308	115	path	path	NOUN
american_scientific_journal-3085	308	116	of	of	ADP
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american_scientific_journal-3085	308	118	11	11	NUM
american_scientific_journal-3085	308	119	,	,	PUNCT
american_scientific_journal-3085	308	120	x.	x.	NOUN
american_scientific_journal-3085	309	1	the	the	DET
american_scientific_journal-3085	309	2	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	309	3	path	path	NOUN
american_scientific_journal-3085	309	4	of	of	ADP
american_scientific_journal-3085	309	5	vertex	vertex	NOUN
american_scientific_journal-3085	309	6	4	4	NUM
american_scientific_journal-3085	309	7	with	with	ADP
american_scientific_journal-3085	309	8	vertex	vertex	NOUN
american_scientific_journal-3085	309	9	3n	3n	NUM
american_scientific_journal-3085	309	10			NOUN
american_scientific_journal-3085	309	11	,	,	PUNCT
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american_scientific_journal-3085	309	13	8	8	NUM
american_scientific_journal-3085	309	14	10	10	NUM
american_scientific_journal-3085	309	15	2	2	NUM
american_scientific_journal-3085	309	16	n	n	ADP
american_scientific_journal-3085	309	17	t	t	NOUN
american_scientific_journal-3085	309	18			PROPN
american_scientific_journal-3085	309	19			NOUN
american_scientific_journal-3085	309	20			NOUN
american_scientific_journal-3085	309	21	and	and	CCONJ
american_scientific_journal-3085	309	22	for	for	ADP
american_scientific_journal-3085	309	23	28n	28n	NUM
american_scientific_journal-3085	309	24			NUM
american_scientific_journal-3085	309	25	is	be	AUX
american_scientific_journal-3085	309	26	“	"	PUNCT
american_scientific_journal-3085	309	27	4,1,3,5,2	4,1,3,5,2	NUM
american_scientific_journal-3085	309	28	,	,	PUNCT
american_scientific_journal-3085	309	29	2,t	2,t	NUM
american_scientific_journal-3085	309	30			ADJ
american_scientific_journal-3085	309	31			ADJ
american_scientific_journal-3085	309	32			PUNCT
american_scientific_journal-3085	309	33			ADJ
american_scientific_journal-3085	309	34			PUNCT
american_scientific_journal-3085	309	35			PROPN
american_scientific_journal-3085	309	36	2	2	PROPN
american_scientific_journal-3085	309	37	,	,	PUNCT
american_scientific_journal-3085	309	38	1,6	1,6	NUM
american_scientific_journal-3085	309	39	,	,	PUNCT
american_scientific_journal-3085	309	40	1	1	NUM
american_scientific_journal-3085	309	41	,	,	PUNCT
american_scientific_journal-3085	309	42	'	'	PUNCT
american_scientific_journal-3085	309	43	1	1	NUM
american_scientific_journal-3085	309	44	,	,	PUNCT
american_scientific_journal-3085	309	45	1	1	NUM
american_scientific_journal-3085	309	46	,	,	PUNCT
american_scientific_journal-3085	309	47	2	2	NUM
american_scientific_journal-3085	309	48	,	,	PUNCT
american_scientific_journal-3085	309	49	1	1	NUM
american_scientific_journal-3085	309	50	,	,	PUNCT
american_scientific_journal-3085	309	51	1	1	NUM
american_scientific_journal-3085	309	52	,	,	PUNCT
american_scientific_journal-3085	309	53	,	,	PUNCT
american_scientific_journal-3085	309	54	5	5	NUM
american_scientific_journal-3085	309	55	,	,	PUNCT
american_scientific_journal-3085	309	56	,	,	PUNCT
american_scientific_journal-3085	309	57	,	,	PUNCT
american_scientific_journal-3085	309	58	2	2	NUM
american_scientific_journal-3085	309	59	,	,	PUNCT
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american_scientific_journal-3085	309	61	,	,	PUNCT
american_scientific_journal-3085	309	62	1	1	NUM
american_scientific_journal-3085	309	63	,	,	PUNCT
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american_scientific_journal-3085	309	65	t	t	PROPN
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american_scientific_journal-3085	309	73	n	n	ADP
american_scientific_journal-3085	309	74	t	t	PROPN
american_scientific_journal-3085	309	75	p	p	PROPN
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american_scientific_journal-3085	309	77	t	t	PROPN
american_scientific_journal-3085	309	78	n	n	ADP
american_scientific_journal-3085	309	79	t	t	PROPN
american_scientific_journal-3085	309	80	n	n	CCONJ
american_scientific_journal-3085	309	81	n	n	PROPN
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american_scientific_journal-3085	309	83	n	n	CCONJ
american_scientific_journal-3085	309	84	n	n	CCONJ
american_scientific_journal-3085	309	85	n	n	CCONJ
american_scientific_journal-3085	309	86	n	n	PRON
american_scientific_journal-3085	309	87	n	n	NOUN
american_scientific_journal-3085	309	88			ADV
american_scientific_journal-3085	309	89			PUNCT
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american_scientific_journal-3085	309	91			PROPN
american_scientific_journal-3085	309	92			PROPN
american_scientific_journal-3085	309	93			PUNCT
american_scientific_journal-3085	309	94			PROPN
american_scientific_journal-3085	309	95			PROPN
american_scientific_journal-3085	309	96			PROPN
american_scientific_journal-3085	309	97			PROPN
american_scientific_journal-3085	309	98			PROPN
american_scientific_journal-3085	309	99			PROPN
american_scientific_journal-3085	309	100			PROPN
american_scientific_journal-3085	309	101			PROPN
american_scientific_journal-3085	309	102			PROPN
american_scientific_journal-3085	309	103			PROPN
american_scientific_journal-3085	309	104			PROPN
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american_scientific_journal-3085	309	106	.	.	PUNCT
american_scientific_journal-3085	310	1	2	2	X
american_scientific_journal-3085	310	2	.	.	X
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american_scientific_journal-3085	311	23	t	t	PROPN
american_scientific_journal-3085	311	24	t	t	PROPN
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american_scientific_journal-3085	311	26	1,5	1,5	NUM
american_scientific_journal-3085	311	27	,	,	PUNCT
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american_scientific_journal-3085	312	18			NUM
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american_scientific_journal-3085	312	22	2	2	NUM
american_scientific_journal-3085	312	23	n	n	ADP
american_scientific_journal-3085	312	24	t	t	NOUN
american_scientific_journal-3085	312	25			PROPN
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american_scientific_journal-3085	312	28	.	.	PUNCT
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american_scientific_journal-3085	313	25	2,s	2,s	NUM
american_scientific_journal-3085	313	26	,	,	PUNCT
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american_scientific_journal-3085	313	28	.	.	PUNCT
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american_scientific_journal-3085	314	20	,	,	PUNCT
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american_scientific_journal-3085	314	22	1	1	NUM
american_scientific_journal-3085	314	23	,	,	PUNCT
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american_scientific_journal-3085	314	25	255	255	NUM
american_scientific_journal-3085	314	26	-	-	SYM
american_scientific_journal-3085	314	27	268	268	NUM
american_scientific_journal-3085	314	28	268	268	NUM
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american_scientific_journal-3085	314	49	,	,	PUNCT
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american_scientific_journal-3085	314	51	,	,	PUNCT
american_scientific_journal-3085	314	52	t.	t.	PROPN
american_scientific_journal-3085	314	53	zamfirescu	zamfirescu	PROPN
american_scientific_journal-3085	314	54	,	,	PUNCT
american_scientific_journal-3085	314	55	“	"	PUNCT
american_scientific_journal-3085	314	56	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	314	57	properties	property	NOUN
american_scientific_journal-3085	314	58	of	of	ADP
american_scientific_journal-3085	314	59	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	314	60	graphs	graph	NOUN
american_scientific_journal-3085	314	61	”	"	PUNCT
american_scientific_journal-3085	314	62	,	,	PUNCT
american_scientific_journal-3085	314	63	discrete	discrete	ADJ
american_scientific_journal-3085	314	64	mathematics	mathematic	NOUN
american_scientific_journal-3085	314	65	159	159	NUM
american_scientific_journal-3085	314	66	,	,	PUNCT
american_scientific_journal-3085	314	67	69–81	69–81	NUM
american_scientific_journal-3085	314	68	(	(	PUNCT
american_scientific_journal-3085	314	69	1996	1996	NUM
american_scientific_journal-3085	314	70	)	)	PUNCT
american_scientific_journal-3085	314	71	.	.	PUNCT
american_scientific_journal-3085	315	1	[	[	X
american_scientific_journal-3085	315	2	2	2	NUM
american_scientific_journal-3085	315	3	]	]	X
american_scientific_journal-3085	315	4	r.	r.	PROPN
american_scientific_journal-3085	315	5	euler	euler	PROPN
american_scientific_journal-3085	315	6	,	,	PUNCT
american_scientific_journal-3085	315	7	“	"	PUNCT
american_scientific_journal-3085	315	8	characterizing	characterize	VERB
american_scientific_journal-3085	315	9	bipartite	bipartite	PROPN
american_scientific_journal-3085	315	10	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	315	11	graphs	graph	NOUN
american_scientific_journal-3085	315	12	”	"	PUNCT
american_scientific_journal-3085	315	13	.	.	PUNCT
american_scientific_journal-3085	316	1	theor	theor	PROPN
american_scientific_journal-3085	316	2	.	.	PUNCT
american_scientific_journal-3085	317	1	comput	comput	PROPN
american_scientific_journal-3085	317	2	.	.	PUNCT
american_scientific_journal-3085	318	1	sci	sci	PROPN
american_scientific_journal-3085	318	2	.	.	PROPN
american_scientific_journal-3085	318	3	263	263	NUM
american_scientific_journal-3085	318	4	,	,	PUNCT
american_scientific_journal-3085	318	5	47–58	47–58	NUM
american_scientific_journal-3085	318	6	(	(	PUNCT
american_scientific_journal-3085	318	7	2001	2001	NUM
american_scientific_journal-3085	318	8	)	)	PUNCT
american_scientific_journal-3085	318	9	.	.	PUNCT
american_scientific_journal-3085	319	1	[	[	X
american_scientific_journal-3085	319	2	3	3	X
american_scientific_journal-3085	319	3	]	]	X
american_scientific_journal-3085	319	4	r.	r.	PROPN
american_scientific_journal-3085	319	5	euler	euler	PROPN
american_scientific_journal-3085	319	6	,	,	PUNCT
american_scientific_journal-3085	319	7	h.	h.	PROPN
american_scientific_journal-3085	319	8	leverge	leverge	PROPN
american_scientific_journal-3085	319	9	,	,	PUNCT
american_scientific_journal-3085	319	10	t.	t.	PROPN
american_scientific_journal-3085	319	11	zamfirescu	zamfirescu	PROPN
american_scientific_journal-3085	319	12	,	,	PUNCT
american_scientific_journal-3085	319	13	“	"	PUNCT
american_scientific_journal-3085	319	14	a	a	DET
american_scientific_journal-3085	319	15	characterization	characterization	NOUN
american_scientific_journal-3085	319	16	of	of	ADP
american_scientific_journal-3085	319	17	infinite	infinite	NOUN
american_scientific_journal-3085	319	18	,	,	PUNCT
american_scientific_journal-3085	319	19	bipartite	bipartite	NOUN
american_scientific_journal-3085	319	20	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	319	21	graphs	graph	NOUN
american_scientific_journal-3085	319	22	”	"	PUNCT
american_scientific_journal-3085	319	23	.	.	PUNCT
american_scientific_journal-3085	320	1	in	in	ADP
american_scientific_journal-3085	320	2	:	:	PUNCT
american_scientific_journal-3085	320	3	tunghsin	tunghsin	PROPN
american_scientific_journal-3085	320	4	,	,	PUNCT
american_scientific_journal-3085	320	5	k.	k.	PROPN
american_scientific_journal-3085	320	6	(	(	PUNCT
american_scientific_journal-3085	320	7	ed	ed	NOUN
american_scientific_journal-3085	320	8	.	.	PUNCT
american_scientific_journal-3085	320	9	)	)	PUNCT
american_scientific_journal-3085	321	1	combinatorics	combinatoric	NOUN
american_scientific_journal-3085	321	2	and	and	CCONJ
american_scientific_journal-3085	321	3	graph	graph	NOUN
american_scientific_journal-3085	321	4	theory	theory	NOUN
american_scientific_journal-3085	321	5	95	95	NUM
american_scientific_journal-3085	321	6	,	,	PUNCT
american_scientific_journal-3085	321	7	vol	vol	NOUN
american_scientific_journal-3085	321	8	.	.	NOUN
american_scientific_journal-3085	321	9	1	1	X
american_scientific_journal-3085	321	10	.	.	X
american_scientific_journal-3085	321	11	academia	academia	PROPN
american_scientific_journal-3085	321	12	sinica	sinica	PROPN
american_scientific_journal-3085	321	13	,	,	PUNCT
american_scientific_journal-3085	321	14	pp	pp	X
american_scientific_journal-3085	321	15	.	.	PUNCT
american_scientific_journal-3085	322	1	119–130	119–130	NUM
american_scientific_journal-3085	322	2	.	.	PUNCT
american_scientific_journal-3085	323	1	world	world	NOUN
american_scientific_journal-3085	323	2	scientific	scientific	PROPN
american_scientific_journal-3085	323	3	,	,	PUNCT
american_scientific_journal-3085	323	4	singapore	singapore	PROPN
american_scientific_journal-3085	323	5	(	(	PUNCT
american_scientific_journal-3085	323	6	1995	1995	NUM
american_scientific_journal-3085	323	7	)	)	PUNCT
american_scientific_journal-3085	323	8	.	.	PUNCT
american_scientific_journal-3085	324	1	[	[	X
american_scientific_journal-3085	324	2	4	4	NUM
american_scientific_journal-3085	324	3	]	]	X
american_scientific_journal-3085	324	4	r.	r.	PROPN
american_scientific_journal-3085	324	5	euler	euler	PROPN
american_scientific_journal-3085	324	6	,	,	PUNCT
american_scientific_journal-3085	324	7	t.	t.	PROPN
american_scientific_journal-3085	324	8	zamfirescu	zamfirescu	PROPN
american_scientific_journal-3085	324	9	,	,	PUNCT
american_scientific_journal-3085	324	10	“	"	PUNCT
american_scientific_journal-3085	324	11	on	on	ADP
american_scientific_journal-3085	324	12	planar	planar	ADJ
american_scientific_journal-3085	324	13	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	324	14	graphs	graph	NOUN
american_scientific_journal-3085	324	15	”	"	PUNCT
american_scientific_journal-3085	324	16	.	.	PUNCT
american_scientific_journal-3085	325	1	graphs	graph	NOUN
american_scientific_journal-3085	325	2	comb	comb	NOUN
american_scientific_journal-3085	325	3	.	.	PUNCT
american_scientific_journal-3085	326	1	29	29	NUM
american_scientific_journal-3085	326	2	,	,	PUNCT
american_scientific_journal-3085	326	3	13111327	13111327	NUM
american_scientific_journal-3085	326	4	(	(	PUNCT
american_scientific_journal-3085	326	5	2013	2013	NUM
american_scientific_journal-3085	326	6	)	)	PUNCT
american_scientific_journal-3085	326	7	.	.	PUNCT
american_scientific_journal-3085	327	1	[	[	X
american_scientific_journal-3085	327	2	5	5	X
american_scientific_journal-3085	327	3	]	]	PUNCT
american_scientific_journal-3085	327	4	c.	c.	PROPN
american_scientific_journal-3085	327	5	heuberger	heuberger	PROPN
american_scientific_journal-3085	327	6	,	,	PUNCT
american_scientific_journal-3085	327	7	“	"	PUNCT
american_scientific_journal-3085	327	8	on	on	ADP
american_scientific_journal-3085	327	9	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	327	10	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	327	11	graphs	graph	NOUN
american_scientific_journal-3085	327	12	”	"	PUNCT
american_scientific_journal-3085	327	13	.	.	PUNCT
american_scientific_journal-3085	328	1	discret	discret	PROPN
american_scientific_journal-3085	328	2	.	.	PUNCT
american_scientific_journal-3085	328	3	math	math	NOUN
american_scientific_journal-3085	328	4	.	.	PUNCT
american_scientific_journal-3085	329	1	245	245	NUM
american_scientific_journal-3085	329	2	,	,	PUNCT
american_scientific_journal-3085	329	3	107	107	NUM
american_scientific_journal-3085	329	4	–	–	PUNCT
american_scientific_journal-3085	329	5	125	125	NUM
american_scientific_journal-3085	329	6	(	(	PUNCT
american_scientific_journal-3085	329	7	2002	2002	NUM
american_scientific_journal-3085	329	8	)	)	PUNCT
american_scientific_journal-3085	329	9	.	.	PUNCT
american_scientific_journal-3085	330	1	[	[	X
american_scientific_journal-3085	330	2	6	6	NUM
american_scientific_journal-3085	330	3	]	]	PUNCT
american_scientific_journal-3085	330	4	s.	s.	PROPN
american_scientific_journal-3085	330	5	malik	malik	PROPN
american_scientific_journal-3085	330	6	,	,	PUNCT
american_scientific_journal-3085	330	7	“	"	PUNCT
american_scientific_journal-3085	330	8	hamiltonicity	hamiltonicity	NOUN
american_scientific_journal-3085	330	9	in	in	ADP
american_scientific_journal-3085	330	10	directed	direct	VERB
american_scientific_journal-3085	330	11	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	330	12	graphs	graph	NOUN
american_scientific_journal-3085	330	13	of	of	ADP
american_scientific_journal-3085	330	14	maximum	maximum	ADJ
american_scientific_journal-3085	330	15	(	(	PUNCT
american_scientific_journal-3085	330	16	out	out	ADP
american_scientific_journal-3085	330	17	or	or	CCONJ
american_scientific_journal-3085	330	18	in	in	ADP
american_scientific_journal-3085	330	19	)	)	PUNCT
american_scientific_journal-3085	330	20	degree	degree	NOUN
american_scientific_journal-3085	330	21	4	4	NUM
american_scientific_journal-3085	330	22	”	"	PUNCT
american_scientific_journal-3085	330	23	.	.	PUNCT
american_scientific_journal-3085	331	1	util	util	PROPN
american_scientific_journal-3085	331	2	.	.	PUNCT
american_scientific_journal-3085	332	1	math	math	NOUN
american_scientific_journal-3085	332	2	.	.	PUNCT
american_scientific_journal-3085	333	1	89	89	NUM
american_scientific_journal-3085	333	2	,	,	PUNCT
american_scientific_journal-3085	333	3	33–68	33–68	NUM
american_scientific_journal-3085	333	4	(	(	PUNCT
american_scientific_journal-3085	333	5	2012	2012	NUM
american_scientific_journal-3085	333	6	)	)	PUNCT
american_scientific_journal-3085	334	1	[	[	X
american_scientific_journal-3085	334	2	7	7	X
american_scientific_journal-3085	334	3	]	]	PUNCT
american_scientific_journal-3085	334	4	s.	s.	PROPN
american_scientific_journal-3085	334	5	malik	malik	PROPN
american_scientific_journal-3085	334	6	,	,	PUNCT
american_scientific_journal-3085	334	7	a.	a.	PROPN
american_scientific_journal-3085	334	8	m.	m.	PROPN
american_scientific_journal-3085	334	9	qureshi	qureshi	PROPN
american_scientific_journal-3085	334	10	,	,	PUNCT
american_scientific_journal-3085	334	11	“	"	PUNCT
american_scientific_journal-3085	334	12	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3085	334	13	cycles	cycle	NOUN
american_scientific_journal-3085	334	14	in	in	ADP
american_scientific_journal-3085	334	15	directed	direct	VERB
american_scientific_journal-3085	334	16	toeplitz	toeplitz	NOUN
american_scientific_journal-3085	334	17	graphs	graph	NOUN
american_scientific_journal-3085	334	18	”	"	PUNCT
american_scientific_journal-3085	334	19	.	.	PUNCT
american_scientific_journal-3085	335	1	ars	ars	PROPN
american_scientific_journal-3085	335	2	comb	comb	NOUN
american_scientific_journal-3085	335	3	.	.	PUNCT
american_scientific_journal-3085	336	1	109	109	NUM
american_scientific_journal-3085	336	2	,	,	PUNCT
american_scientific_journal-3085	336	3	511	511	NUM
american_scientific_journal-3085	336	4	–	–	PUNCT
american_scientific_journal-3085	336	5	526	526	NUM
american_scientific_journal-3085	336	6	(	(	PUNCT
american_scientific_journal-3085	336	7	2013	2013	NUM
american_scientific_journal-3085	336	8	)	)	PUNCT
american_scientific_journal-3085	336	9	.	.	PUNCT
american_scientific_journal-3085	337	1	[	[	X
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american_scientific_journal-3085	337	3	]	]	PUNCT
american_scientific_journal-3085	337	4	s.	s.	PROPN
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american_scientific_journal-3085	337	6	,	,	PUNCT
american_scientific_journal-3085	337	7	t.	t.	PROPN
american_scientific_journal-3085	337	8	zamfirescu	zamfirescu	PROPN
american_scientific_journal-3085	337	9	,	,	PUNCT
american_scientific_journal-3085	337	10	“	"	PUNCT
american_scientific_journal-3085	337	11	hamiltonian	hamiltonian	ADJ
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american_scientific_journal-3085	337	13	in	in	ADP
american_scientific_journal-3085	337	14	directed	direct	VERB
american_scientific_journal-3085	337	15	toeplitz	toeplitz	NOUN
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american_scientific_journal-3085	337	17	”	"	PUNCT
american_scientific_journal-3085	337	18	.	.	PUNCT
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american_scientific_journal-3085	339	2	.	.	PUNCT
american_scientific_journal-3085	340	1	soc	soc	PROPN
american_scientific_journal-3085	340	2	.	.	PUNCT
american_scientific_journal-3085	341	1	sci	sci	PROPN
american_scientific_journal-3085	341	2	.	.	PROPN
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american_scientific_journal-3085	341	4	.	.	PUNCT
american_scientific_journal-3085	342	1	roum	roum	NOUN
american_scientific_journal-3085	342	2	.	.	PUNCT
american_scientific_journal-3085	343	1	53	53	NUM
american_scientific_journal-3085	343	2	(	(	PUNCT
american_scientific_journal-3085	343	3	101	101	NUM
american_scientific_journal-3085	343	4	)	)	PUNCT
american_scientific_journal-3085	343	5	no	no	NOUN
american_scientific_journal-3085	343	6	.	.	NOUN
american_scientific_journal-3085	343	7	2	2	NUM
american_scientific_journal-3085	343	8	,	,	PUNCT
american_scientific_journal-3085	343	9	145156	145156	NUM
american_scientific_journal-3085	343	10	(	(	PUNCT
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american_scientific_journal-3085	343	12	)	)	PUNCT
american_scientific_journal-3085	343	13	.	.	PUNCT
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american_scientific_journal-3085	344	7	,	,	PUNCT
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american_scientific_journal-3085	344	10	,	,	PUNCT
american_scientific_journal-3085	344	11	t.	t.	PROPN
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american_scientific_journal-3085	344	13	,	,	PUNCT
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american_scientific_journal-3085	344	17	of	of	ADP
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american_scientific_journal-3085	344	21	.	.	PUNCT
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american_scientific_journal-3085	345	3	2015	2015	NUM
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american_scientific_journal-3085	345	8	.	.	PUNCT
american_scientific_journal-3085	346	1	(	(	PUNCT
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american_scientific_journal-3085	346	3	.	.	PUNCT
american_scientific_journal-3085	346	4	)	)	PUNCT
american_scientific_journal-3085	346	5	,	,	PUNCT
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american_scientific_journal-3085	346	7	in	in	ADP
american_scientific_journal-3085	346	8	the	the	DET
american_scientific_journal-3085	346	9	21st	21st	ADJ
american_scientific_journal-3085	346	10	century	century	NOUN
american_scientific_journal-3085	346	11	,	,	PUNCT
american_scientific_journal-3085	346	12	springer	springer	NOUN
american_scientific_journal-3085	346	13	proceedings	proceeding	NOUN
american_scientific_journal-3085	346	14	in	in	ADP
american_scientific_journal-3085	346	15	mathematics	mathematics	PROPN
american_scientific_journal-3085	346	16	&	&	CCONJ
american_scientific_journal-3085	346	17	statistics	statistic	NOUN
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american_scientific_journal-3085	346	19	,	,	PUNCT
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american_scientific_journal-3085	346	22	-	-	PUNCT
american_scientific_journal-3085	346	23	3	3	NUM
american_scientific_journal-3085	346	24	-	-	PUNCT
american_scientific_journal-3085	346	25	0348	0348	NUM
american_scientific_journal-3085	346	26	-	-	PUNCT
american_scientific_journal-3085	346	27	0859	0859	NUM
american_scientific_journal-3085	346	28	-	-	PUNCT
american_scientific_journal-3085	346	29	08	08	NUM
american_scientific_journal-3085	346	30	.	.	PUNCT