id	sid	tid	token	lemma	pos
ma-66	1	1	2023	2023	NUM
ma-66	1	2	ada	ada	PROPN
ma-66	1	3	academica	academica	PROPN
ma-66	1	4	https://adac.eeeur	https://adac.eeeur	PROPN
ma-66	1	5	.	.	PUNCT
ma-66	2	1	j.	j.	PROPN
ma-66	2	2	math	math	PROPN
ma-66	2	3	.	.	PUNCT
ma-66	3	1	anal	anal	ADJ
ma-66	3	2	.	.	PUNCT
ma-66	4	1	3	3	NUM
ma-66	4	2	(	(	PUNCT
ma-66	4	3	2023	2023	NUM
ma-66	4	4	)	)	PUNCT
ma-66	5	1	3doi	3doi	NUM
ma-66	5	2	:	:	PUNCT
ma-66	5	3	10.28924	10.28924	NUM
ma-66	5	4	/	/	SYM
ma-66	5	5	ada	ada	PROPN
ma-66	5	6	/	/	SYM
ma-66	5	7	ma.3.3	ma.3.3	PROPN
ma-66	5	8	different	different	ADJ
ma-66	5	9	types	type	NOUN
ma-66	5	10	of	of	ADP
ma-66	5	11	topological	topological	ADJ
ma-66	5	12	structures	structure	NOUN
ma-66	5	13	by	by	ADP
ma-66	5	14	graphs	graph	NOUN
ma-66	5	15	ali	ali	PROPN
ma-66	5	16	asghar	asghar	PROPN
ma-66	5	17	,	,	PUNCT
ma-66	5	18	ather	ather	PROPN
ma-66	5	19	qayyum∗	qayyum∗	NOUN
ma-66	5	20	,	,	PUNCT
ma-66	5	21	noor	noor	PROPN
ma-66	5	22	muhammad	muhammad	PROPN
ma-66	5	23	institute	institute	PROPN
ma-66	5	24	of	of	ADP
ma-66	5	25	southern	southern	PROPN
ma-66	5	26	punjab	punjab	PROPN
ma-66	5	27	,	,	PUNCT
ma-66	5	28	multan	multan	PROPN
ma-66	5	29	,	,	PUNCT
ma-66	5	30	pakistan	pakistan	PROPN
ma-66	5	31	ali.asghar190289283@gmail.com	ali.asghar190289283@gmail.com	PROPN
ma-66	5	32	,	,	PUNCT
ma-66	5	33	atherqayyum@isp.edu.pk	atherqayyum@isp.edu.pk	NOUN
ma-66	5	34	,	,	PUNCT
ma-66	5	35	noormustaffa681@gmail.com	noormustaffa681@gmail.com	PROPN
ma-66	5	36	∗correspondence	∗correspondence	NOUN
ma-66	5	37	:	:	PUNCT
ma-66	5	38	atherqayyum@isp.edu.pk	atherqayyum@isp.edu.pk	NOUN
ma-66	5	39	abstract	abstract	ADJ
ma-66	5	40	.	.	PUNCT
ma-66	6	1	in	in	ADP
ma-66	6	2	this	this	DET
ma-66	6	3	paper	paper	NOUN
ma-66	6	4	,	,	PUNCT
ma-66	6	5	we	we	PRON
ma-66	6	6	will	will	AUX
ma-66	6	7	represent	represent	VERB
ma-66	6	8	relation	relation	NOUN
ma-66	6	9	of	of	ADP
ma-66	6	10	graph	graph	NOUN
ma-66	6	11	which	which	PRON
ma-66	6	12	bring	bring	VERB
ma-66	6	13	different	different	ADJ
ma-66	6	14	type	type	NOUN
ma-66	6	15	of	of	ADP
ma-66	6	16	topologicalstructure	topologicalstructure	NOUN
ma-66	6	17	to	to	ADP
ma-66	6	18	the	the	DET
ma-66	6	19	graph	graph	NOUN
ma-66	6	20	[	[	X
ma-66	6	21	2	2	NUM
ma-66	6	22	]	]	PUNCT
ma-66	6	23	,	,	PUNCT
ma-66	6	24	then	then	ADV
ma-66	6	25	,	,	PUNCT
ma-66	6	26	consider	consider	VERB
ma-66	6	27	certain	certain	ADJ
ma-66	6	28	properties	property	NOUN
ma-66	6	29	of	of	ADP
ma-66	6	30	the	the	DET
ma-66	6	31	graph	graph	NOUN
ma-66	6	32	.	.	PUNCT
ma-66	7	1	we	we	PRON
ma-66	7	2	will	will	AUX
ma-66	7	3	discuss	discuss	VERB
ma-66	7	4	mainlyblood	mainlyblood	NOUN
ma-66	7	5	circulation	circulation	NOUN
ma-66	7	6	in	in	ADP
ma-66	7	7	lungs	lung	NOUN
ma-66	7	8	and	and	CCONJ
ma-66	7	9	some	some	DET
ma-66	7	10	different	different	ADJ
ma-66	7	11	diseases	disease	NOUN
ma-66	7	12	of	of	ADP
ma-66	7	13	it	it	PRON
ma-66	7	14	[	[	X
ma-66	7	15	4	4	X
ma-66	7	16	]	]	PUNCT
ma-66	7	17	and	and	CCONJ
ma-66	7	18	relate	relate	VERB
ma-66	7	19	them	they	PRON
ma-66	7	20	with	with	ADP
ma-66	7	21	graph	graph	NOUN
ma-66	7	22	and	and	CCONJ
ma-66	7	23	maketopologies	maketopologie	NOUN
ma-66	7	24	[	[	X
ma-66	7	25	8	8	NUM
ma-66	7	26	]	]	PUNCT
ma-66	7	27	.	.	PUNCT
ma-66	8	1	moreover	moreover	ADV
ma-66	8	2	,	,	PUNCT
ma-66	8	3	certain	certain	ADJ
ma-66	8	4	applications	application	NOUN
ma-66	8	5	in	in	ADP
ma-66	8	6	medical	medical	ADJ
ma-66	8	7	field	field	NOUN
ma-66	8	8	will	will	AUX
ma-66	8	9	be	be	AUX
ma-66	8	10	represent	represent	ADJ
ma-66	8	11	.	.	PUNCT
ma-66	9	1	we	we	PRON
ma-66	9	2	can	can	AUX
ma-66	9	3	also	also	ADV
ma-66	9	4	useresults	useresult	VERB
ma-66	9	5	in	in	ADP
ma-66	9	6	real	real	ADJ
ma-66	9	7	life	life	NOUN
ma-66	9	8	[	[	X
ma-66	9	9	11	11	NUM
ma-66	9	10	]	]	PUNCT
ma-66	9	11	.	.	PUNCT
ma-66	10	1	1	1	X
ma-66	10	2	.	.	X
ma-66	10	3	introduction	introduction	NOUN
ma-66	10	4	and	and	CCONJ
ma-66	10	5	preliminaries	preliminary	NOUN
ma-66	10	6	initially	initially	ADV
ma-66	10	7	in	in	ADP
ma-66	10	8	eighteenth	eighteenth	ADJ
ma-66	10	9	century	century	NOUN
ma-66	10	10	swiss	swiss	ADJ
ma-66	10	11	mathematician	mathematician	ADJ
ma-66	10	12	leonhard	leonhard	PROPN
ma-66	10	13	euler	euler	PROPN
ma-66	10	14	gave	give	VERB
ma-66	10	15	the	the	DET
ma-66	10	16	basic	basic	ADJ
ma-66	10	17	idea	idea	NOUN
ma-66	10	18	aboutgraph	aboutgraph	NOUN
ma-66	11	1	[	[	X
ma-66	11	2	2	2	NUM
ma-66	11	3	]	]	PUNCT
ma-66	11	4	.	.	PUNCT
ma-66	12	1	he	he	PRON
ma-66	12	2	resolved	resolve	VERB
ma-66	12	3	famous	famous	ADJ
ma-66	12	4	problems	problem	NOUN
ma-66	12	5	.	.	PUNCT
ma-66	13	1	he	he	PRON
ma-66	13	2	drew	draw	VERB
ma-66	13	3	any	any	DET
ma-66	13	4	tenth	tenth	ADJ
ma-66	13	5	spectral	spectral	ADJ
ma-66	13	6	graph	graph	NOUN
ma-66	13	7	theory	theory	NOUN
ma-66	13	8	introducedin	introducedin	NOUN
ma-66	13	9	decade	decade	NOUN
ma-66	13	10	of	of	ADP
ma-66	13	11	1950	1950	NUM
ma-66	13	12	,	,	PUNCT
ma-66	13	13	while	while	SCONJ
ma-66	13	14	in	in	ADP
ma-66	13	15	1980	1980	NUM
ma-66	13	16	introduced	introduce	VERB
ma-66	13	17	monograph	monograph	NOUN
ma-66	13	18	spectra	spectra	NOUN
ma-66	13	19	by	by	ADP
ma-66	13	20	cvetkovics	cvetkovic	NOUN
ma-66	13	21	,	,	PUNCT
ma-66	13	22	doob	doob	NOUN
ma-66	13	23	and	and	CCONJ
ma-66	13	24	sachs.recently	sachs.recently	ADV
ma-66	13	25	graph	graph	NOUN
ma-66	13	26	theory	theory	NOUN
ma-66	13	27	has	have	AUX
ma-66	13	28	become	become	VERB
ma-66	13	29	very	very	ADV
ma-66	13	30	large	large	ADJ
ma-66	13	31	field	field	NOUN
ma-66	13	32	not	not	PART
ma-66	13	33	only	only	ADV
ma-66	13	34	for	for	ADP
ma-66	13	35	mathematicians	mathematician	NOUN
ma-66	13	36	but	but	CCONJ
ma-66	13	37	also	also	ADV
ma-66	13	38	for	for	ADP
ma-66	13	39	otherfields	otherfield	NOUN
ma-66	13	40	of	of	ADP
ma-66	13	41	life	life	NOUN
ma-66	13	42	[	[	X
ma-66	13	43	13	13	NUM
ma-66	13	44	]	]	PUNCT
ma-66	13	45	.	.	PUNCT
ma-66	14	1	in	in	ADP
ma-66	14	2	real	real	ADJ
ma-66	14	3	life	life	NOUN
ma-66	14	4	graph	graph	NOUN
ma-66	14	5	theory	theory	NOUN
ma-66	14	6	playing	play	VERB
ma-66	14	7	its	its	PRON
ma-66	14	8	vital	vital	ADJ
ma-66	14	9	role	role	NOUN
ma-66	14	10	of	of	ADP
ma-66	14	11	life	life	NOUN
ma-66	14	12	,	,	PUNCT
ma-66	14	13	very	very	ADV
ma-66	14	14	common	common	ADJ
ma-66	14	15	example	example	NOUN
ma-66	14	16	of	of	ADP
ma-66	14	17	it	it	PRON
ma-66	14	18	isall	isall	ADJ
ma-66	14	19	roads	road	NOUN
ma-66	14	20	and	and	CCONJ
ma-66	14	21	motorways	motorway	NOUN
ma-66	14	22	form	form	VERB
ma-66	14	23	a	a	DET
ma-66	14	24	large	large	ADJ
ma-66	14	25	network	network	NOUN
ma-66	14	26	which	which	PRON
ma-66	14	27	is	be	AUX
ma-66	14	28	used	use	VERB
ma-66	14	29	by	by	ADP
ma-66	14	30	cruising	cruise	VERB
ma-66	14	31	services	service	NOUN
ma-66	14	32	e.g.	e.g.	ADV
ma-66	14	33	goggle	goggle	VERB
ma-66	14	34	mapswhen	mapswhen	NOUN
ma-66	14	35	working	work	VERB
ma-66	14	36	on	on	ADP
ma-66	14	37	different	different	ADJ
ma-66	14	38	routs	rout	NOUN
ma-66	14	39	between	between	ADP
ma-66	14	40	two	two	NUM
ma-66	14	41	points	point	NOUN
ma-66	14	42	.	.	PUNCT
ma-66	15	1	graph	graph	NOUN
ma-66	15	2	theory	theory	NOUN
ma-66	15	3	is	be	AUX
ma-66	15	4	the	the	DET
ma-66	15	5	study	study	NOUN
ma-66	15	6	of	of	ADP
ma-66	15	7	graph	graph	NOUN
ma-66	15	8	,	,	PUNCT
ma-66	15	9	whichmathematically	whichmathematically	ADV
ma-66	15	10	used	use	VERB
ma-66	15	11	to	to	PART
ma-66	15	12	develop	develop	VERB
ma-66	15	13	pairwise	pairwise	NOUN
ma-66	15	14	relationship	relationship	NOUN
ma-66	15	15	between	between	ADP
ma-66	15	16	objects	object	NOUN
ma-66	15	17	[	[	X
ma-66	15	18	13	13	NUM
ma-66	15	19	]	]	PUNCT
ma-66	15	20	.	.	PUNCT
ma-66	16	1	this	this	PRON
ma-66	16	2	is	be	AUX
ma-66	16	3	also	also	ADV
ma-66	16	4	a	a	DET
ma-66	16	5	collectionof	collectionof	NOUN
ma-66	16	6	points	point	NOUN
ma-66	16	7	and	and	CCONJ
ma-66	16	8	lines	line	NOUN
ma-66	16	9	.	.	PUNCT
ma-66	17	1	points	point	NOUN
ma-66	17	2	are	be	AUX
ma-66	17	3	known	know	VERB
ma-66	17	4	as	as	ADP
ma-66	17	5	vertices	vertex	NOUN
ma-66	17	6	and	and	CCONJ
ma-66	17	7	lines	line	NOUN
ma-66	17	8	are	be	AUX
ma-66	17	9	edges	edge	NOUN
ma-66	17	10	.	.	PUNCT
ma-66	18	1	the	the	DET
ma-66	18	2	collection	collection	NOUN
ma-66	18	3	of	of	ADP
ma-66	18	4	verticesof	verticesof	VERB
ma-66	18	5	any	any	DET
ma-66	18	6	graph	graph	NOUN
ma-66	18	7	g	g	NOUN
ma-66	18	8	is	be	AUX
ma-66	18	9	vertex	vertex	NOUN
ma-66	18	10	set	set	NOUN
ma-66	18	11	and	and	CCONJ
ma-66	18	12	collection	collection	NOUN
ma-66	18	13	of	of	ADP
ma-66	18	14	edges	edge	NOUN
ma-66	18	15	is	be	AUX
ma-66	18	16	known	know	VERB
ma-66	18	17	as	as	ADP
ma-66	18	18	edge	edge	NOUN
ma-66	18	19	set	set	VERB
ma-66	18	20	denominated	denominate	VERB
ma-66	18	21	as	as	ADP
ma-66	18	22	v(g)and	v(g)and	PROPN
ma-66	18	23	e(g	e(g	PROPN
ma-66	18	24	)	)	PUNCT
ma-66	18	25	respectively	respectively	ADV
ma-66	18	26	[	[	X
ma-66	18	27	4	4	NUM
ma-66	18	28	]	]	PUNCT
ma-66	18	29	.	.	PUNCT
ma-66	19	1	the	the	DET
ma-66	19	2	number	number	NOUN
ma-66	19	3	of	of	ADP
ma-66	19	4	vertices	vertex	NOUN
ma-66	19	5	and	and	CCONJ
ma-66	19	6	edges	edge	NOUN
ma-66	19	7	in	in	ADP
ma-66	19	8	g	g	PROPN
ma-66	19	9	is	be	AUX
ma-66	19	10	known	know	VERB
ma-66	19	11	as	as	ADP
ma-66	19	12	order	order	NOUN
ma-66	19	13	and	and	CCONJ
ma-66	19	14	size	size	NOUN
ma-66	19	15	of	of	ADP
ma-66	19	16	grespectively	grespectively	ADV
ma-66	19	17	.	.	PUNCT
ma-66	20	1	if	if	SCONJ
ma-66	20	2	an	an	DET
ma-66	20	3	edge	edge	NOUN
ma-66	20	4	has	have	VERB
ma-66	20	5	same	same	ADJ
ma-66	20	6	end	end	NOUN
ma-66	20	7	is	be	AUX
ma-66	20	8	loop	loop	NOUN
ma-66	20	9	.	.	PUNCT
ma-66	21	1	whenever	whenever	SCONJ
ma-66	21	2	more	more	ADJ
ma-66	21	3	than	than	ADP
ma-66	21	4	one	one	NUM
ma-66	21	5	edges	edge	NOUN
ma-66	21	6	having	have	VERB
ma-66	21	7	same	same	ADJ
ma-66	21	8	finalpoint	finalpoint	NOUN
ma-66	21	9	than	than	SCONJ
ma-66	21	10	it	it	PRON
ma-66	21	11	will	will	AUX
ma-66	21	12	consider	consider	VERB
ma-66	21	13	parallel	parallel	ADJ
ma-66	21	14	edges	edge	NOUN
ma-66	21	15	[	[	X
ma-66	21	16	12	12	NUM
ma-66	21	17	]	]	PUNCT
ma-66	21	18	.	.	PUNCT
ma-66	22	1	mapping	mapping	NOUN
ma-66	22	2	[	[	X
ma-66	22	3	14	14	NUM
ma-66	22	4	]	]	PUNCT
ma-66	22	5	play	play	VERB
ma-66	22	6	a	a	DET
ma-66	22	7	specific	specific	ADJ
ma-66	22	8	role	role	NOUN
ma-66	22	9	in	in	ADP
ma-66	22	10	graph	graph	NOUN
ma-66	22	11	theoryalso.notions	theoryalso.notion	NOUN
ma-66	22	12	on	on	ADP
ma-66	22	13	closure	closure	NOUN
ma-66	22	14	operations	operation	NOUN
ma-66	22	15	are	be	AUX
ma-66	22	16	helpful	helpful	ADJ
ma-66	22	17	for	for	ADP
ma-66	22	18	algebra	algebra	NOUN
ma-66	22	19	,	,	PUNCT
ma-66	22	20	topology	topology	NOUN
ma-66	22	21	,	,	PUNCT
ma-66	22	22	basic	basic	ADJ
ma-66	22	23	graph	graph	NOUN
ma-66	22	24	theory	theory	NOUN
ma-66	22	25	and	and	CCONJ
ma-66	22	26	alsofor	alsofor	ADP
ma-66	22	27	many	many	ADJ
ma-66	22	28	other	other	ADJ
ma-66	22	29	fields	field	NOUN
ma-66	22	30	[	[	X
ma-66	22	31	4	4	NUM
ma-66	22	32	]	]	PUNCT
ma-66	22	33	.	.	PUNCT
ma-66	23	1	topology	topology	NOUN
ma-66	23	2	is	be	AUX
ma-66	23	3	very	very	ADV
ma-66	23	4	advance	advance	ADJ
ma-66	23	5	field	field	NOUN
ma-66	23	6	of	of	ADP
ma-66	23	7	mathematics	mathematic	NOUN
ma-66	23	8	.	.	PUNCT
ma-66	24	1	it	it	PRON
ma-66	24	2	deals	deal	VERB
ma-66	24	3	with	with	ADP
ma-66	24	4	thinsindependently	thinsindependently	ADV
ma-66	24	5	.	.	PUNCT
ma-66	25	1	it	it	PRON
ma-66	25	2	allow	allow	VERB
ma-66	25	3	to	to	PART
ma-66	25	4	increase	increase	VERB
ma-66	25	5	or	or	CCONJ
ma-66	25	6	decrease	decrease	VERB
ma-66	25	7	things	thing	NOUN
ma-66	25	8	without	without	ADP
ma-66	25	9	cutting	cut	VERB
ma-66	25	10	.	.	PUNCT
ma-66	26	1	consider	consider	VERB
ma-66	26	2	[	[	X
ma-66	26	3	11	11	NUM
ma-66	26	4	]	]	X
ma-66	26	5	x	x	PRON
ma-66	26	6	might	might	AUX
ma-66	26	7	be	be	AUX
ma-66	26	8	received	receive	VERB
ma-66	26	9	:	:	PUNCT
ma-66	26	10	23	23	NUM
ma-66	26	11	dec	dec	PROPN
ma-66	26	12	2021	2021	NUM
ma-66	26	13	.	.	PUNCT
ma-66	27	1	key	key	ADJ
ma-66	27	2	words	word	NOUN
ma-66	27	3	and	and	CCONJ
ma-66	27	4	phrases	phrase	NOUN
ma-66	27	5	.	.	PUNCT
ma-66	28	1	topological	topological	ADJ
ma-66	28	2	space	space	NOUN
ma-66	28	3	;	;	PUNCT
ma-66	28	4	graph	graph	NOUN
ma-66	28	5	;	;	PUNCT
ma-66	28	6	relation.1	relation.1	PROPN
ma-66	28	7	https://adac.ee	https://adac.ee	PROPN
ma-66	28	8	https://doi.org/10.28924/ada/ma.3.3	https://doi.org/10.28924/ada/ma.3.3	PROPN
ma-66	28	9	eur	eur	PROPN
ma-66	28	10	.	.	PUNCT
ma-66	29	1	j.	j.	PROPN
ma-66	29	2	math	math	PROPN
ma-66	29	3	.	.	PUNCT
ma-66	30	1	anal	anal	PROPN
ma-66	30	2	.	.	PUNCT
ma-66	31	1	10.28924	10.28924	NUM
ma-66	31	2	/	/	SYM
ma-66	31	3	ada	ada	NOUN
ma-66	31	4	/	/	SYM
ma-66	31	5	ma.3.3	ma.3.3	PROPN
ma-66	31	6	2nonempty	2nonempty	NUM
ma-66	31	7	set	set	VERB
ma-66	31	8	furthermore	furthermore	ADV
ma-66	31	9	φ	φ	PROPN
ma-66	31	10	is	be	AUX
ma-66	31	11	collection	collection	NOUN
ma-66	31	12	for	for	ADP
ma-66	31	13	x	x	X
ma-66	31	14	,	,	PUNCT
ma-66	31	15	than	than	ADP
ma-66	31	16	(	(	PUNCT
ma-66	31	17	1	1	X
ma-66	31	18	)	)	PUNCT
ma-66	31	19	φ	φ	NUM
ma-66	31	20	,	,	PUNCT
ma-66	31	21	x	x	PUNCT
ma-66	31	22	belongs	belong	VERB
ma-66	31	23	to	to	ADP
ma-66	31	24	τ	τ	PROPN
ma-66	31	25	(	(	PUNCT
ma-66	31	26	2	2	NUM
ma-66	31	27	)	)	PUNCT
ma-66	31	28	absolute	absolute	ADJ
ma-66	31	29	unionfor	unionfor	ADP
ma-66	31	30	number	number	NOUN
ma-66	31	31	of	of	ADP
ma-66	31	32	τ	τ	PROPN
ma-66	31	33	belongs	belong	VERB
ma-66	31	34	to	to	ADP
ma-66	31	35	τ	τ	PROPN
ma-66	31	36	(	(	PUNCT
ma-66	31	37	3	3	NUM
ma-66	31	38	)	)	PUNCT
ma-66	31	39	limited	limited	ADJ
ma-66	31	40	intersection	intersection	NOUN
ma-66	31	41	for	for	ADP
ma-66	31	42	τ	τ	PROPN
ma-66	31	43	belongs	belong	VERB
ma-66	31	44	to	to	ADP
ma-66	31	45	τ	τ	PROPN
ma-66	31	46	.	.	PUNCT
ma-66	32	1	than	than	SCONJ
ma-66	32	2	τ	τ	PROPN
ma-66	32	3	will	will	AUX
ma-66	32	4	be	be	AUX
ma-66	32	5	considertopology	considertopology	NOUN
ma-66	32	6	over	over	ADP
ma-66	32	7	x	x	PUNCT
ma-66	33	1	so	so	ADV
ma-66	33	2	,	,	PUNCT
ma-66	33	3	(	(	PUNCT
ma-66	33	4	x	x	X
ma-66	33	5	,	,	PUNCT
ma-66	33	6	τ	τ	X
ma-66	33	7	)	)	PUNCT
ma-66	33	8	is	be	AUX
ma-66	33	9	called	call	VERB
ma-66	33	10	topological	topological	ADJ
ma-66	33	11	space	space	NOUN
ma-66	33	12	.	.	PUNCT
ma-66	34	1	topology	topology	NOUN
ma-66	34	2	also	also	ADV
ma-66	34	3	helpful	helpful	ADJ
ma-66	34	4	in	in	ADP
ma-66	34	5	different	different	ADJ
ma-66	34	6	propertieslike	propertieslike	ADJ
ma-66	34	7	convergence	convergence	NOUN
ma-66	34	8	,	,	PUNCT
ma-66	34	9	existence	existence	NOUN
ma-66	34	10	,	,	PUNCT
ma-66	34	11	convexity	convexity	NOUN
ma-66	34	12	and	and	CCONJ
ma-66	34	13	many	many	ADJ
ma-66	34	14	other	other	ADJ
ma-66	34	15	.	.	PUNCT
ma-66	35	1	all	all	DET
ma-66	35	2	elements	element	NOUN
ma-66	35	3	within	within	ADP
ma-66	35	4	topology	topology	NOUN
ma-66	35	5	known	know	VERB
ma-66	35	6	asopen	asopen	NOUN
ma-66	35	7	set	set	VERB
ma-66	35	8	and	and	CCONJ
ma-66	35	9	complement	complement	NOUN
ma-66	35	10	might	might	AUX
ma-66	35	11	be	be	AUX
ma-66	35	12	close	close	ADJ
ma-66	35	13	[	[	X
ma-66	35	14	13].consider	13].consider	NUM
ma-66	35	15	g	g	NOUN
ma-66	35	16	is	be	AUX
ma-66	35	17	any	any	DET
ma-66	35	18	graph	graph	NOUN
ma-66	35	19	,	,	PUNCT
ma-66	35	20	than	than	SCONJ
ma-66	35	21	two	two	NUM
ma-66	35	22	adjacent	adjacent	ADJ
ma-66	35	23	vertices	vertex	NOUN
ma-66	35	24	are	be	AUX
ma-66	35	25	called	call	VERB
ma-66	35	26	nbhd	nbhd	NOUN
ma-66	35	27	of	of	ADP
ma-66	35	28	each	each	DET
ma-66	35	29	other	other	ADJ
ma-66	35	30	n	n	PROPN
ma-66	35	31	(	(	PUNCT
ma-66	35	32	v	v	NOUN
ma-66	35	33	)	)	PUNCT
ma-66	35	34	=	=	PUNCT
ma-66	36	1	{	{	PUNCT
ma-66	36	2	u	u	NOUN
ma-66	36	3	∈	∈	PROPN
ma-66	36	4	v	v	NOUN
ma-66	36	5	(	(	PUNCT
ma-66	36	6	g	g	NOUN
ma-66	36	7	)	)	PUNCT
ma-66	36	8	|	|	ADV
ma-66	36	9	u	u	PRON
ma-66	36	10	be	be	VERB
ma-66	36	11	nbhd	nbhd	NOUN
ma-66	36	12	of	of	ADP
ma-66	36	13	v	v	NOUN
ma-66	36	14	}	}	PUNCT
ma-66	36	15	is	be	AUX
ma-66	36	16	open	open	ADJ
ma-66	36	17	nbhd	nbhd	NOUN
ma-66	36	18	for	for	ADP
ma-66	36	19	v	v	NOUN
ma-66	36	20	and	and	CCONJ
ma-66	36	21	n[v	n[v	ADV
ma-66	36	22	]	]	PUNCT
ma-66	36	23	=	=	SYM
ma-66	36	24	n	n	CCONJ
ma-66	36	25	(	(	PUNCT
ma-66	36	26	v	v	NOUN
ma-66	36	27	)	)	PUNCT
ma-66	36	28	∪	∪	NOUN
ma-66	36	29	{	{	PUNCT
ma-66	36	30	v	v	NOUN
ma-66	36	31	}	}	PUNCT
ma-66	36	32	is	be	AUX
ma-66	36	33	closed	close	VERB
ma-66	36	34	nbhd	nbhd	ADV
ma-66	36	35	for	for	ADP
ma-66	36	36	v.	v.	PROPN
ma-66	37	1	[	[	X
ma-66	37	2	10]loops	10]loops	NUM
ma-66	37	3	and	and	CCONJ
ma-66	37	4	parallel	parallel	ADJ
ma-66	37	5	edge	edge	NOUN
ma-66	37	6	free	free	ADJ
ma-66	37	7	graph	graph	NOUN
ma-66	37	8	is	be	AUX
ma-66	37	9	simple	simple	ADJ
ma-66	37	10	graph	graph	NOUN
ma-66	37	11	.	.	PUNCT
ma-66	38	1	if	if	SCONJ
ma-66	38	2	any	any	DET
ma-66	38	3	two	two	NUM
ma-66	38	4	distinct	distinct	ADJ
ma-66	38	5	vertices	vertex	NOUN
ma-66	38	6	joined	join	VERB
ma-66	38	7	by	by	ADP
ma-66	38	8	anedge	anedge	NOUN
ma-66	38	9	is	be	AUX
ma-66	38	10	named	name	VERB
ma-66	38	11	as	as	ADP
ma-66	38	12	complete	complete	ADJ
ma-66	38	13	graph	graph	NOUN
ma-66	38	14	.	.	PUNCT
ma-66	39	1	[	[	X
ma-66	39	2	12]if	12]if	NUM
ma-66	39	3	vertices	vertex	NOUN
ma-66	39	4	of	of	ADP
ma-66	39	5	two	two	NUM
ma-66	39	6	sets	set	NOUN
ma-66	39	7	a	a	PRON
ma-66	39	8	and	and	CCONJ
ma-66	39	9	b	b	NOUN
ma-66	39	10	joined	join	VERB
ma-66	39	11	by	by	ADP
ma-66	39	12	each	each	DET
ma-66	39	13	edge	edge	NOUN
ma-66	39	14	between	between	ADP
ma-66	39	15	a	a	PRON
ma-66	39	16	and	and	CCONJ
ma-66	39	17	b	b	NOUN
ma-66	39	18	is	be	AUX
ma-66	39	19	called	call	VERB
ma-66	39	20	bipartite	bipartite	ADJ
ma-66	39	21	graph	graph	NOUN
ma-66	39	22	.	.	PUNCT
ma-66	40	1	ifeach	ifeach	NOUN
ma-66	40	2	vertex	vertex	NOUN
ma-66	40	3	from	from	ADP
ma-66	40	4	a	a	DET
ma-66	40	5	connected	connect	VERB
ma-66	40	6	with	with	ADP
ma-66	40	7	every	every	DET
ma-66	40	8	vertices	vertex	NOUN
ma-66	40	9	of	of	ADP
ma-66	40	10	b	b	NOUN
ma-66	40	11	with	with	ADP
ma-66	40	12	only	only	ADV
ma-66	40	13	a	a	DET
ma-66	40	14	single	single	ADJ
ma-66	40	15	edge	edge	NOUN
ma-66	40	16	is	be	AUX
ma-66	40	17	complete	complete	ADJ
ma-66	40	18	bipartitegraph	bipartitegraph	NOUN
ma-66	40	19	[	[	X
ma-66	40	20	8].if	8].if	NUM
ma-66	40	21	we	we	PRON
ma-66	40	22	delete	delete	VERB
ma-66	40	23	any	any	DET
ma-66	40	24	edge	edge	NOUN
ma-66	40	25	from	from	ADP
ma-66	40	26	a	a	DET
ma-66	40	27	subgraph	subgraph	NOUN
ma-66	40	28	g	g	NOUN
ma-66	40	29	is	be	AUX
ma-66	40	30	called	call	VERB
ma-66	40	31	spanning	span	VERB
ma-66	40	32	subgraph	subgraph	NOUN
ma-66	40	33	while	while	SCONJ
ma-66	40	34	deleting	delete	VERB
ma-66	40	35	any	any	DET
ma-66	40	36	vertexis	vertexis	NOUN
ma-66	40	37	induced	induce	VERB
ma-66	40	38	subgraph	subgraph	NOUN
ma-66	41	1	[	[	X
ma-66	41	2	3].consider	3].consider	PROPN
ma-66	41	3	that	that	SCONJ
ma-66	41	4	if	if	SCONJ
ma-66	41	5	any	any	DET
ma-66	41	6	subgraph	subgraph	NOUN
ma-66	41	7	do	do	AUX
ma-66	41	8	not	not	PART
ma-66	41	9	contain	contain	VERB
ma-66	41	10	their	their	PRON
ma-66	41	11	final	final	ADJ
ma-66	41	12	point	point	NOUN
ma-66	41	13	that	that	PRON
ma-66	41	14	channel	channel	NOUN
ma-66	41	15	p	p	NOUN
ma-66	41	16	will	will	AUX
ma-66	41	17	be	be	AUX
ma-66	41	18	nominatedby	nominatedby	ADJ
ma-66	41	19	topological	topological	ADJ
ma-66	41	20	open	open	ADJ
ma-66	41	21	subgraph	subgraph	NOUN
ma-66	41	22	while	while	SCONJ
ma-66	41	23	having	have	VERB
ma-66	41	24	its	its	PRON
ma-66	41	25	initial	initial	ADJ
ma-66	41	26	and	and	CCONJ
ma-66	41	27	final	final	ADJ
ma-66	41	28	point	point	NOUN
ma-66	41	29	is	be	AUX
ma-66	41	30	topological	topological	ADJ
ma-66	41	31	closed	closed	ADJ
ma-66	41	32	graph	graph	NOUN
ma-66	42	1	[	[	X
ma-66	42	2	7].consider	7].consider	NUM
ma-66	42	3	g	g	NOUN
ma-66	42	4	=	=	SYM
ma-66	42	5	(	(	PUNCT
ma-66	42	6	v	v	NOUN
ma-66	42	7	,	,	PUNCT
ma-66	42	8	e	e	NOUN
ma-66	42	9	)	)	PUNCT
ma-66	42	10	be	be	VERB
ma-66	42	11	any	any	DET
ma-66	42	12	connected	connected	ADJ
ma-66	42	13	graph	graph	NOUN
ma-66	42	14	.	.	PUNCT
ma-66	43	1	moreover	moreover	ADV
ma-66	43	2	,	,	PUNCT
ma-66	43	3	(	(	PUNCT
ma-66	43	4	v	v	NOUN
ma-66	43	5	(	(	PUNCT
ma-66	43	6	g	g	NOUN
ma-66	43	7	)	)	PUNCT
ma-66	43	8	,	,	PUNCT
ma-66	43	9	τ	τ	X
ma-66	43	10	)	)	PUNCT
ma-66	43	11	be	be	VERB
ma-66	43	12	topology	topology	NOUN
ma-66	43	13	[	[	X
ma-66	43	14	7	7	X
ma-66	43	15	]	]	X
ma-66	43	16	generatewith	generatewith	NOUN
ma-66	43	17	βj	βj	X
ma-66	43	18	=	=	PUNCT
ma-66	43	19	{	{	PUNCT
ma-66	43	20	v	v	X
ma-66	43	21	(	(	PUNCT
ma-66	43	22	g	g	NOUN
ma-66	43	23	)	)	PUNCT
ma-66	43	24	,	,	PUNCT
ma-66	43	25	φ	φ	PROPN
ma-66	43	26	,	,	PUNCT
ma-66	43	27	{	{	PUNCT
ma-66	43	28	vj	vj	INTJ
ma-66	43	29	}	}	PUNCT
ma-66	43	30	,	,	PUNCT
ma-66	43	31	{	{	PUNCT
ma-66	43	32	n	n	X
ma-66	43	33	(	(	PUNCT
ma-66	43	34	vj	vj	INTJ
ma-66	43	35	)	)	PUNCT
ma-66	43	36	}	}	PUNCT
ma-66	43	37	}	}	PUNCT
ma-66	43	38	is	be	AUX
ma-66	43	39	basis	basis	NOUN
ma-66	43	40	moreover	moreover	ADV
ma-66	43	41	consider	consider	VERB
ma-66	43	42	s1	s1	NOUN
ma-66	43	43	and	and	CCONJ
ma-66	43	44	s2	s2	NOUN
ma-66	43	45	be	be	AUX
ma-66	43	46	two	two	NUM
ma-66	43	47	open	open	ADJ
ma-66	43	48	paths	path	NOUN
ma-66	43	49	than	than	ADP
ma-66	43	50	(	(	PUNCT
ma-66	43	51	i	i	NOUN
ma-66	43	52	)	)	PUNCT
ma-66	43	53	v	v	PROPN
ma-66	43	54	(	(	PUNCT
ma-66	43	55	s1	s1	PROPN
ma-66	43	56	)	)	PUNCT
ma-66	44	1	⊆	⊆	NUM
ma-66	44	2	cl	cl	NOUN
ma-66	44	3	v	v	NOUN
ma-66	44	4	(	(	PUNCT
ma-66	44	5	s1	s1	NOUN
ma-66	44	6	)	)	PUNCT
ma-66	44	7	(	(	PUNCT
ma-66	44	8	ii)s1	ii)s1	NOUN
ma-66	44	9	⊆	⊆	NUM
ma-66	44	10	s2and	s2and	NOUN
ma-66	44	11	cl	cl	NOUN
ma-66	44	12	(	(	PUNCT
ma-66	44	13	v	v	NOUN
ma-66	44	14	(	(	PUNCT
ma-66	44	15	s1	s1	NOUN
ma-66	44	16	)	)	PUNCT
ma-66	44	17	)	)	PUNCT
ma-66	45	1	⊆	⊆	NUM
ma-66	45	2	cl	cl	NOUN
ma-66	45	3	(	(	PUNCT
ma-66	45	4	v	v	NOUN
ma-66	45	5	(	(	PUNCT
ma-66	45	6	s2	s2	PROPN
ma-66	45	7	)	)	PUNCT
ma-66	45	8	)	)	PUNCT
ma-66	45	9	2	2	X
ma-66	45	10	.	.	X
ma-66	45	11	relation	relation	NOUN
ma-66	45	12	over	over	ADP
ma-66	45	13	graph	graph	NOUN
ma-66	45	14	suppose	suppose	VERB
ma-66	45	15	that	that	SCONJ
ma-66	45	16	u	u	PROPN
ma-66	45	17	is	be	AUX
ma-66	45	18	vertex	vertex	NOUN
ma-66	45	19	in	in	ADP
ma-66	45	20	any	any	DET
ma-66	45	21	graph	graph	NOUN
ma-66	45	22	g	g	ADP
ma-66	45	23	having	have	VERB
ma-66	45	24	l∗	l∗	PROPN
ma-66	45	25	loop	loop	NOUN
ma-66	45	26	and	and	CCONJ
ma-66	45	27	m	m	PRON
ma-66	45	28	multiple	multiple	ADJ
ma-66	45	29	edges	edge	NOUN
ma-66	45	30	than	than	ADP
ma-66	45	31	(	(	PUNCT
ma-66	45	32	degg	degg	NOUN
ma-66	45	33	(	(	PUNCT
ma-66	45	34	u))u	u))u	NOUN
ma-66	45	35	=	=	SYM
ma-66	45	36	(	(	PUNCT
ma-66	45	37	2lu	2lu	ADJ
ma-66	46	1	+	+	ADJ
ma-66	46	2	mu)u	mu)u	NOUN
ma-66	46	3	while	while	SCONJ
ma-66	46	4	simple	simple	ADJ
ma-66	46	5	graph	graph	NOUN
ma-66	46	6	is	be	AUX
ma-66	46	7	(	(	PUNCT
ma-66	46	8	degg	degg	NOUN
ma-66	46	9	(	(	PUNCT
ma-66	46	10	u))u	u))u	ADJ
ma-66	46	11	.	.	PUNCT
ma-66	47	1	[	[	X
ma-66	47	2	2	2	X
ma-66	47	3	]	]	X
ma-66	47	4	[	[	X
ma-66	47	5	4	4	X
ma-66	47	6	]	]	PUNCT
ma-66	47	7	here	here	ADV
ma-66	47	8	is	be	AUX
ma-66	47	9	relation	relation	NOUN
ma-66	47	10	r	r	NOUN
ma-66	47	11	for	for	ADP
ma-66	47	12	any	any	DET
ma-66	47	13	graph	graph	NOUN
ma-66	47	14	g	g	NOUN
ma-66	47	15	is	be	AUX
ma-66	47	16	deformed	deform	VERB
ma-66	47	17	by	by	ADP
ma-66	47	18	r	r	NOUN
ma-66	47	19	=	=	SYM
ma-66	47	20	{	{	PUNCT
ma-66	47	21	(	(	PUNCT
ma-66	47	22	(	(	PUNCT
ma-66	47	23	2lu	2lu	ADJ
ma-66	47	24	+	+	ADJ
ma-66	47	25	mu)u	mu)u	NOUN
ma-66	47	26	,	,	PUNCT
ma-66	47	27	(	(	PUNCT
ma-66	48	1	2lw	2lw	ADJ
ma-66	48	2	+	+	NOUN
ma-66	48	3	mw	mw	NOUN
ma-66	48	4	)	)	PUNCT
ma-66	48	5	w	w	PROPN
ma-66	48	6	)	)	PUNCT
ma-66	48	7	,	,	PUNCT
ma-66	48	8	u	u	NOUN
ma-66	48	9	,	,	PUNCT
ma-66	48	10	w	w	PROPN
ma-66	48	11	∈	∈	PROPN
ma-66	48	12	v	v	X
ma-66	48	13	}	}	PUNCT
ma-66	48	14	https://doi.org/10.28924/ada/ma.3.3	https://doi.org/10.28924/ada/ma.3.3	PROPN
ma-66	48	15	eur	eur	NOUN
ma-66	48	16	.	.	PUNCT
ma-66	49	1	j.	j.	PROPN
ma-66	49	2	math	math	PROPN
ma-66	49	3	.	.	PUNCT
ma-66	50	1	anal	anal	PROPN
ma-66	50	2	.	.	PUNCT
ma-66	51	1	10.28924	10.28924	NUM
ma-66	51	2	/	/	SYM
ma-66	51	3	ada	ada	NOUN
ma-66	51	4	/	/	SYM
ma-66	51	5	ma.3.3	ma.3.3	PROPN
ma-66	51	6	3while	3while	NUM
ma-66	51	7	lu	lu	NOUN
ma-66	51	8	and	and	CCONJ
ma-66	51	9	lw	lw	PROPN
ma-66	51	10	are	be	AUX
ma-66	51	11	number	number	NOUN
ma-66	51	12	for	for	ADP
ma-66	51	13	loops	loop	NOUN
ma-66	51	14	for	for	ADP
ma-66	51	15	vertices	vertex	NOUN
ma-66	51	16	u	u	PROPN
ma-66	51	17	,	,	PUNCT
ma-66	51	18	w	w	PROPN
ma-66	51	19	from	from	ADP
ma-66	51	20	each	each	DET
ma-66	51	21	furthermore	furthermore	ADJ
ma-66	51	22	mu	mu	NOUN
ma-66	51	23	,	,	PUNCT
ma-66	51	24	mw	mw	X
ma-66	51	25	are	be	AUX
ma-66	51	26	multipleedges	multipleedge	NOUN
ma-66	51	27	for	for	ADP
ma-66	51	28	vertex	vertex	NOUN
ma-66	51	29	u	u	NOUN
ma-66	51	30	and	and	CCONJ
ma-66	51	31	w	w	NOUN
ma-66	51	32	respectively	respectively	ADV
ma-66	51	33	.	.	PUNCT
ma-66	52	1	consider	consider	VERB
ma-66	52	2	that	that	PRON
ma-66	52	3	g	g	NOUN
ma-66	52	4	be	be	AUX
ma-66	52	5	simple	simple	ADJ
ma-66	52	6	graph	graph	NOUN
ma-66	52	7	,	,	PUNCT
ma-66	52	8	r	r	NOUN
ma-66	52	9	=	=	SYM
ma-66	52	10	{	{	PUNCT
ma-66	52	11	(	(	PUNCT
ma-66	52	12	(	(	PUNCT
ma-66	52	13	degg	degg	NOUN
ma-66	52	14	(	(	PUNCT
ma-66	52	15	u)u	u)u	ADJ
ma-66	52	16	,	,	PUNCT
ma-66	52	17	degg	degg	NOUN
ma-66	52	18	(	(	PUNCT
ma-66	52	19	w)w	w)w	ADJ
ma-66	52	20	)	)	PUNCT
ma-66	52	21	)	)	PUNCT
ma-66	52	22	;	;	PUNCT
ma-66	52	23	u	u	NOUN
ma-66	52	24	,	,	PUNCT
ma-66	52	25	w	w	PROPN
ma-66	52	26	∈	∈	PROPN
ma-66	52	27	v	v	ADP
ma-66	52	28	}	}	PUNCT
ma-66	52	29	if	if	SCONJ
ma-66	52	30	l	l	NOUN
ma-66	52	31	=	=	SYM
ma-66	52	32	0	0	NUM
ma-66	52	33	than	than	ADP
ma-66	52	34	r	r	NOUN
ma-66	52	35	=	=	SYM
ma-66	52	36	{	{	PUNCT
ma-66	52	37	(	(	PUNCT
ma-66	52	38	lu)u	lu)u	PROPN
ma-66	52	39	,	,	PUNCT
ma-66	52	40	(	(	PUNCT
ma-66	52	41	mw	mw	NOUN
ma-66	52	42	)	)	PUNCT
ma-66	52	43	w	w	PROPN
ma-66	52	44	,	,	PUNCT
ma-66	52	45	u	u	NOUN
ma-66	52	46	,	,	PUNCT
ma-66	52	47	w	w	PROPN
ma-66	52	48	∈	∈	PROPN
ma-66	52	49	w}if	w}if	PROPN
ma-66	52	50	m	m	NOUN
ma-66	52	51	=	=	SYM
ma-66	52	52	1	1	NUM
ma-66	52	53	and	and	CCONJ
ma-66	52	54	l	l	NOUN
ma-66	52	55	=	=	SYM
ma-66	52	56	0	0	NUM
ma-66	52	57	than	than	ADP
ma-66	52	58	r	r	NOUN
ma-66	52	59	=	=	SYM
ma-66	52	60	{	{	PUNCT
ma-66	52	61	(	(	PUNCT
ma-66	52	62	lu	lu	PROPN
ma-66	52	63	,	,	PUNCT
ma-66	52	64	lw	lw	PROPN
ma-66	52	65	)	)	PUNCT
ma-66	52	66	u	u	NOUN
ma-66	52	67	,	,	PUNCT
ma-66	52	68	w	w	PROPN
ma-66	52	69	∈	∈	PROPN
ma-66	52	70	vconsider	vconsider	NOUN
ma-66	52	71	g	g	PROPN
ma-66	52	72	is	be	AUX
ma-66	52	73	directed	direct	VERB
ma-66	52	74	along	along	ADP
ma-66	52	75	with	with	ADP
ma-66	52	76	simple	simple	ADJ
ma-66	52	77	than	than	ADP
ma-66	52	78	r	r	NOUN
ma-66	52	79	=	=	SYM
ma-66	52	80	{	{	PUNCT
ma-66	52	81	(	(	PUNCT
ma-66	52	82	lu	lu	PROPN
ma-66	52	83	,	,	PUNCT
ma-66	52	84	lw	lw	NOUN
ma-66	52	85	)	)	PUNCT
ma-66	53	1	=	=	PUNCT
ma-66	53	2	(	(	PUNCT
ma-66	53	3	u	u	NOUN
ma-66	53	4	,	,	PUNCT
ma-66	53	5	w	w	PROPN
ma-66	53	6	)	)	PUNCT
ma-66	53	7	u	u	NOUN
ma-66	53	8	,	,	PUNCT
ma-66	53	9	w	w	PROPN
ma-66	53	10	∈	∈	PROPN
ma-66	53	11	v	v	X
ma-66	53	12	}	}	PUNCT
ma-66	53	13	while	while	SCONJ
ma-66	53	14	if	if	SCONJ
ma-66	53	15	g	g	PROPN
ma-66	53	16	is	be	AUX
ma-66	53	17	undirected	undirected	ADJ
ma-66	53	18	than	than	ADP
ma-66	53	19	r	r	NOUN
ma-66	53	20	=	=	SYM
ma-66	53	21	{	{	PUNCT
ma-66	53	22	(	(	PUNCT
ma-66	53	23	lu	lu	PROPN
ma-66	53	24	,	,	PUNCT
ma-66	53	25	lw	lw	NOUN
ma-66	53	26	)	)	PUNCT
ma-66	53	27	=	=	PUNCT
ma-66	53	28	(	(	PUNCT
ma-66	53	29	u	u	NOUN
ma-66	53	30	,	,	PUNCT
ma-66	53	31	w)or	w)or	PROPN
ma-66	53	32	(	(	PUNCT
ma-66	53	33	w	w	PROPN
ma-66	53	34	,	,	PUNCT
ma-66	53	35	u	u	NOUN
ma-66	53	36	)	)	PUNCT
ma-66	53	37	u	u	NOUN
ma-66	53	38	,	,	PUNCT
ma-66	53	39	w	w	PROPN
ma-66	53	40	∈	∈	PROPN
ma-66	53	41	v	v	ADJ
ma-66	53	42	}	}	PUNCT
ma-66	53	43	example	example	NOUN
ma-66	53	44	1	1	NUM
ma-66	53	45	.	.	PUNCT
ma-66	54	1	[	[	X
ma-66	54	2	4	4	X
ma-66	54	3	]	]	PUNCT
ma-66	54	4	suppose	suppose	VERB
ma-66	54	5	that	that	SCONJ
ma-66	54	6	g	g	PROPN
ma-66	54	7	is	be	AUX
ma-66	54	8	undirected	undirected	ADJ
ma-66	54	9	graph	graph	NOUN
ma-66	54	10	given	give	VERB
ma-66	54	11	above	above	ADP
ma-66	54	12	fig.1	fig.1	PROPN
ma-66	54	13	.	.	PUNCT
ma-66	55	1	r	r	NOUN
ma-66	55	2	=	=	SYM
ma-66	55	3	{	{	PUNCT
ma-66	55	4	(	(	PUNCT
ma-66	55	5	11a	11a	NOUN
ma-66	55	6	,	,	PUNCT
ma-66	55	7	8b	8b	NUM
ma-66	55	8	)	)	PUNCT
ma-66	55	9	,	,	PUNCT
ma-66	55	10	(	(	PUNCT
ma-66	55	11	11a	11a	NOUN
ma-66	55	12	,	,	PUNCT
ma-66	55	13	5c	5c	NUM
ma-66	55	14	)	)	PUNCT
ma-66	55	15	,	,	PUNCT
ma-66	55	16	(	(	PUNCT
ma-66	55	17	11a	11a	NOUN
ma-66	55	18	,	,	PUNCT
ma-66	55	19	8d	8d	NUM
ma-66	55	20	)	)	PUNCT
ma-66	55	21	,	,	PUNCT
ma-66	55	22	(	(	PUNCT
ma-66	55	23	8b	8b	NUM
ma-66	55	24	,	,	PUNCT
ma-66	55	25	5c	5c	NUM
ma-66	55	26	)	)	PUNCT
ma-66	55	27	,	,	PUNCT
ma-66	55	28	(	(	PUNCT
ma-66	55	29	8b	8b	NUM
ma-66	55	30	,	,	PUNCT
ma-66	55	31	8d	8d	NUM
ma-66	55	32	)	)	PUNCT
ma-66	55	33	,	,	PUNCT
ma-66	55	34	(	(	PUNCT
ma-66	55	35	5c	5c	NUM
ma-66	55	36	,	,	PUNCT
ma-66	55	37	8d	8d	NUM
ma-66	55	38	)	)	PUNCT
ma-66	55	39	,	,	PUNCT
ma-66	55	40	(	(	PUNCT
ma-66	55	41	11a	11a	NOUN
ma-66	55	42	,	,	PUNCT
ma-66	55	43	11a	11a	NUM
ma-66	55	44	)	)	PUNCT
ma-66	55	45	,	,	PUNCT
ma-66	55	46	(	(	PUNCT
ma-66	55	47	8b	8b	NUM
ma-66	55	48	,	,	PUNCT
ma-66	55	49	8b	8b	NUM
ma-66	55	50	)	)	PUNCT
ma-66	55	51	,	,	PUNCT
ma-66	55	52	(	(	PUNCT
ma-66	55	53	8d	8d	NUM
ma-66	55	54	,	,	PUNCT
ma-66	55	55	8d	8d	NUM
ma-66	55	56	)	)	PUNCT
ma-66	55	57	https://doi.org/10.28924/ada/ma.3.3	https://doi.org/10.28924/ada/ma.3.3	PROPN
ma-66	55	58	eur	eur	PROPN
ma-66	55	59	.	.	PUNCT
ma-66	56	1	j.	j.	PROPN
ma-66	56	2	math	math	PROPN
ma-66	56	3	.	.	PUNCT
ma-66	57	1	anal	anal	PROPN
ma-66	57	2	.	.	PUNCT
ma-66	58	1	10.28924	10.28924	NUM
ma-66	58	2	/	/	SYM
ma-66	58	3	ada	ada	PROPN
ma-66	58	4	/	/	SYM
ma-66	58	5	ma.3.3	ma.3.3	PROPN
ma-66	58	6	4	4	NUM
ma-66	58	7	example	example	NOUN
ma-66	58	8	2	2	NUM
ma-66	58	9	.	.	PUNCT
ma-66	59	1	[	[	X
ma-66	59	2	1	1	X
ma-66	59	3	]	]	PUNCT
ma-66	59	4	let	let	VERB
ma-66	59	5	g	g	PRON
ma-66	59	6	be	be	AUX
ma-66	59	7	a	a	DET
ma-66	59	8	graph	graph	NOUN
ma-66	59	9	given	give	VERB
ma-66	59	10	in	in	ADP
ma-66	59	11	figure	figure	NOUN
ma-66	59	12	02	02	NUM
ma-66	59	13	r	r	NOUN
ma-66	59	14	=	=	SYM
ma-66	59	15	{	{	PUNCT
ma-66	59	16	(	(	PUNCT
ma-66	59	17	3c	3c	NUM
ma-66	59	18	,	,	PUNCT
ma-66	59	19	3b	3b	NUM
ma-66	59	20	)	)	PUNCT
ma-66	59	21	,	,	PUNCT
ma-66	59	22	(	(	PUNCT
ma-66	59	23	4a	4a	NUM
ma-66	59	24	,	,	PUNCT
ma-66	59	25	5e	5e	NUM
ma-66	59	26	)	)	PUNCT
ma-66	59	27	,	,	PUNCT
ma-66	59	28	(	(	PUNCT
ma-66	59	29	3b	3b	NUM
ma-66	59	30	,	,	PUNCT
ma-66	59	31	3c	3c	NUM
ma-66	59	32	)	)	PUNCT
ma-66	59	33	,	,	PUNCT
ma-66	59	34	(	(	PUNCT
ma-66	59	35	3c	3c	NUM
ma-66	59	36	,	,	PUNCT
ma-66	59	37	3d	3d	NUM
ma-66	59	38	)	)	PUNCT
ma-66	59	39	,	,	PUNCT
ma-66	59	40	(	(	PUNCT
ma-66	59	41	3c	3c	NUM
ma-66	59	42	,	,	PUNCT
ma-66	59	43	5e	5e	NUM
ma-66	59	44	)	)	PUNCT
ma-66	59	45	,	,	PUNCT
ma-66	59	46	(	(	PUNCT
ma-66	59	47	5e	5e	NOUN
ma-66	59	48	,	,	PUNCT
ma-66	59	49	3d	3d	NUM
ma-66	59	50	)	)	PUNCT
ma-66	59	51	}	}	PUNCT
ma-66	59	52	example	example	NOUN
ma-66	60	1	3	3	NUM
ma-66	60	2	.	.	PUNCT
ma-66	61	1	[	[	X
ma-66	61	2	2	2	X
ma-66	61	3	]	]	PUNCT
ma-66	61	4	let	let	VERB
ma-66	61	5	g	g	PRON
ma-66	61	6	be	be	AUX
ma-66	61	7	a	a	DET
ma-66	61	8	graph	graph	NOUN
ma-66	61	9	in	in	ADP
ma-66	61	10	figure	figure	NOUN
ma-66	61	11	3	3	NUM
ma-66	61	12	r	r	NOUN
ma-66	61	13	=	=	SYM
ma-66	61	14	{	{	PUNCT
ma-66	61	15	(	(	PUNCT
ma-66	61	16	3a	3a	NUM
ma-66	61	17	,	,	PUNCT
ma-66	61	18	2b	2b	NOUN
ma-66	61	19	)	)	PUNCT
ma-66	61	20	,	,	PUNCT
ma-66	61	21	(	(	PUNCT
ma-66	61	22	3a	3a	NUM
ma-66	61	23	,	,	PUNCT
ma-66	61	24	2d	2d	NOUN
ma-66	61	25	)	)	PUNCT
ma-66	61	26	,	,	PUNCT
ma-66	61	27	(	(	PUNCT
ma-66	61	28	3a	3a	NUM
ma-66	61	29	,	,	PUNCT
ma-66	61	30	3c	3c	NUM
ma-66	61	31	)	)	PUNCT
ma-66	61	32	,	,	PUNCT
ma-66	61	33	(	(	PUNCT
ma-66	61	34	2b	2b	NOUN
ma-66	61	35	,	,	PUNCT
ma-66	61	36	3c	3c	NUM
ma-66	61	37	)	)	PUNCT
ma-66	61	38	,	,	PUNCT
ma-66	61	39	(	(	PUNCT
ma-66	61	40	3c	3c	NUM
ma-66	61	41	,	,	PUNCT
ma-66	61	42	2d	2d	NOUN
ma-66	61	43	)	)	PUNCT
ma-66	61	44	3	3	NUM
ma-66	61	45	.	.	PUNCT
ma-66	61	46	topological	topological	ADJ
ma-66	61	47	structure	structure	NOUN
ma-66	61	48	on	on	ADP
ma-66	61	49	graph	graph	NOUN
ma-66	61	50	by	by	ADP
ma-66	61	51	previous	previous	ADJ
ma-66	61	52	illustration	illustration	NOUN
ma-66	61	53	(	(	PUNCT
ma-66	61	54	1	1	X
ma-66	61	55	)	)	PUNCT
ma-66	61	56	created	create	VERB
ma-66	61	57	a	a	DET
ma-66	61	58	topology	topology	NOUN
ma-66	61	59	.	.	PUNCT
ma-66	62	1	according	accord	VERB
ma-66	62	2	to	to	ADP
ma-66	62	3	this	this	DET
ma-66	62	4	example	example	NOUN
ma-66	62	5	the	the	DET
ma-66	62	6	vertices	vertex	NOUN
ma-66	62	7	are	be	AUX
ma-66	62	8	givenas	givenas	PROPN
ma-66	62	9	https://doi.org/10.28924/ada/ma.3.3	https://doi.org/10.28924/ada/ma.3.3	PROPN
ma-66	62	10	eur	eur	PROPN
ma-66	62	11	.	.	PUNCT
ma-66	63	1	j.	j.	PROPN
ma-66	63	2	math	math	PROPN
ma-66	63	3	.	.	PUNCT
ma-66	64	1	anal	anal	PROPN
ma-66	64	2	.	.	PUNCT
ma-66	65	1	10.28924	10.28924	NUM
ma-66	65	2	/	/	SYM
ma-66	65	3	ada	ada	PROPN
ma-66	65	4	/	/	SYM
ma-66	65	5	ma.3.3	ma.3.3	PROPN
ma-66	65	6	5	5	NUM
ma-66	65	7	(	(	PUNCT
ma-66	65	8	11a)r	11a)r	NUM
ma-66	65	9	=	=	SYM
ma-66	65	10	{	{	PUNCT
ma-66	65	11	8b	8b	NUM
ma-66	65	12	,	,	PUNCT
ma-66	65	13	8d	8d	NUM
ma-66	65	14	,	,	PUNCT
ma-66	65	15	5c	5c	NUM
ma-66	65	16	}	}	PUNCT
ma-66	65	17	,	,	PUNCT
ma-66	65	18	(	(	PUNCT
ma-66	65	19	8b)r	8b)r	NUM
ma-66	65	20	=	=	SYM
ma-66	65	21	{	{	PUNCT
ma-66	65	22	11a	11a	NOUN
ma-66	65	23	,	,	PUNCT
ma-66	65	24	5c	5c	NUM
ma-66	65	25	,	,	PUNCT
ma-66	65	26	8d	8d	NUM
ma-66	65	27	}	}	PUNCT
ma-66	65	28	,	,	PUNCT
ma-66	65	29	(	(	PUNCT
ma-66	65	30	5c)r	5c)r	NUM
ma-66	65	31	=	=	SYM
ma-66	65	32	{	{	PUNCT
ma-66	65	33	8b	8b	NUM
ma-66	65	34	,	,	PUNCT
ma-66	65	35	8d	8d	NUM
ma-66	65	36	,	,	PUNCT
ma-66	65	37	11a	11a	NUM
ma-66	65	38	}	}	PUNCT
ma-66	65	39	,	,	PUNCT
ma-66	65	40	(	(	PUNCT
ma-66	65	41	8d)r	8d)r	NUM
ma-66	65	42	=	=	SYM
ma-66	65	43	{	{	PUNCT
ma-66	65	44	11a	11a	NUM
ma-66	65	45	,	,	PUNCT
ma-66	65	46	8b	8b	NUM
ma-66	65	47	,	,	PUNCT
ma-66	65	48	5c}subbase	5c}subbase	NOUN
ma-66	65	49	sg	sg	ADV
ma-66	65	50	=	=	SYM
ma-66	65	51	{	{	PUNCT
ma-66	65	52	{	{	PUNCT
ma-66	65	53	8b	8b	NUM
ma-66	65	54	,	,	PUNCT
ma-66	65	55	8d	8d	NUM
ma-66	65	56	,	,	PUNCT
ma-66	65	57	5c	5c	NUM
ma-66	65	58	}	}	PUNCT
ma-66	65	59	,	,	PUNCT
ma-66	65	60	{	{	PUNCT
ma-66	65	61	11a	11a	NOUN
ma-66	65	62	,	,	PUNCT
ma-66	65	63	5c	5c	NUM
ma-66	65	64	,	,	PUNCT
ma-66	65	65	8d	8d	NUM
ma-66	65	66	}	}	PUNCT
ma-66	65	67	,	,	PUNCT
ma-66	65	68	{	{	PUNCT
ma-66	65	69	8b	8b	NUM
ma-66	65	70	,	,	PUNCT
ma-66	65	71	8d	8d	NUM
ma-66	65	72	,	,	PUNCT
ma-66	65	73	11a	11a	NUM
ma-66	65	74	}	}	PUNCT
ma-66	65	75	,	,	PUNCT
ma-66	65	76	{	{	PUNCT
ma-66	65	77	11a	11a	NOUN
ma-66	65	78	,	,	PUNCT
ma-66	65	79	8b	8b	NUM
ma-66	65	80	,	,	PUNCT
ma-66	65	81	5c	5c	NUM
ma-66	65	82	}	}	PUNCT
ma-66	65	83	}	}	PUNCT
ma-66	65	84	topology	topology	NOUN
ma-66	65	85	τg	τg	NOUN
ma-66	65	86	=	=	SYM
ma-66	65	87	{	{	PUNCT
ma-66	65	88	x	x	PROPN
ma-66	65	89	,	,	PUNCT
ma-66	65	90	φ	φ	NUM
ma-66	65	91	,	,	PUNCT
ma-66	65	92	{	{	PUNCT
ma-66	65	93	8b	8b	NUM
ma-66	65	94	,	,	PUNCT
ma-66	65	95	8d	8d	NUM
ma-66	65	96	,	,	PUNCT
ma-66	65	97	5c	5c	NUM
ma-66	65	98	}	}	PUNCT
ma-66	65	99	,	,	PUNCT
ma-66	65	100	{	{	PUNCT
ma-66	65	101	11a	11a	NOUN
ma-66	65	102	,	,	PUNCT
ma-66	65	103	5c	5c	NUM
ma-66	65	104	,	,	PUNCT
ma-66	65	105	8d	8d	NUM
ma-66	65	106	}	}	PUNCT
ma-66	65	107	,	,	PUNCT
ma-66	65	108	{	{	PUNCT
ma-66	65	109	8b	8b	NUM
ma-66	65	110	,	,	PUNCT
ma-66	65	111	8d	8d	NUM
ma-66	65	112	,	,	PUNCT
ma-66	65	113	11a	11a	NUM
ma-66	65	114	}	}	PUNCT
ma-66	65	115	,	,	PUNCT
ma-66	65	116	{	{	PUNCT
ma-66	65	117	11a	11a	NOUN
ma-66	65	118	,	,	PUNCT
ma-66	65	119	8b	8b	NUM
ma-66	65	120	,	,	PUNCT
ma-66	65	121	5c	5c	NUM
ma-66	65	122	}	}	PUNCT
ma-66	65	123	,	,	PUNCT
ma-66	65	124	{	{	PUNCT
ma-66	65	125	8d	8d	NOUN
ma-66	65	126	,	,	PUNCT
ma-66	65	127	5c	5c	NUM
ma-66	65	128	}	}	PUNCT
ma-66	65	129	,	,	PUNCT
ma-66	65	130	{	{	PUNCT
ma-66	65	131	8b	8b	NUM
ma-66	65	132	,	,	PUNCT
ma-66	65	133	8d	8d	NUM
ma-66	65	134	}	}	PUNCT
ma-66	65	135	,	,	PUNCT
ma-66	65	136	,	,	PUNCT
ma-66	65	137	{	{	PUNCT
ma-66	65	138	8b	8b	NUM
ma-66	65	139	,	,	PUNCT
ma-66	65	140	5c	5c	NUM
ma-66	65	141	}	}	PUNCT
ma-66	65	142	,	,	PUNCT
ma-66	65	143	{	{	PUNCT
ma-66	65	144	11a	11a	NOUN
ma-66	65	145	,	,	PUNCT
ma-66	65	146	8d	8d	NUM
ma-66	65	147	}	}	PUNCT
ma-66	65	148	,	,	PUNCT
ma-66	65	149	{	{	PUNCT
ma-66	65	150	11a	11a	NOUN
ma-66	65	151	,	,	PUNCT
ma-66	65	152	5c	5c	NUM
ma-66	65	153	}	}	PUNCT
ma-66	65	154	,	,	PUNCT
ma-66	65	155	{	{	PUNCT
ma-66	65	156	11a	11a	NOUN
ma-66	65	157	,	,	PUNCT
ma-66	65	158	8b	8b	NUM
ma-66	65	159	}	}	PUNCT
ma-66	65	160	,	,	PUNCT
ma-66	65	161	{	{	PUNCT
ma-66	65	162	8b	8b	NUM
ma-66	65	163	,	,	PUNCT
ma-66	65	164	5c	5c	NUM
ma-66	65	165	,	,	PUNCT
ma-66	65	166	8d	8d	NUM
ma-66	65	167	}	}	PUNCT
ma-66	65	168	,	,	PUNCT
ma-66	65	169	{	{	PUNCT
ma-66	65	170	11a	11a	NOUN
ma-66	65	171	,	,	PUNCT
ma-66	65	172	5c	5c	NUM
ma-66	65	173	,	,	PUNCT
ma-66	65	174	8d	8d	NUM
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ma-66	65	176	,	,	PUNCT
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ma-66	65	178	11a	11a	NOUN
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ma-66	65	182	8d	8d	NUM
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ma-66	65	184	,	,	PUNCT
ma-66	65	185	{	{	PUNCT
ma-66	65	186	11a	11a	NOUN
ma-66	65	187	,	,	PUNCT
ma-66	65	188	8b	8b	NUM
ma-66	65	189	,	,	PUNCT
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ma-66	65	196	2	2	NUM
ma-66	65	197	)	)	PUNCT
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ma-66	65	200	topology	topology	NOUN
ma-66	65	201	.	.	PUNCT
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ma-66	66	2	to	to	ADP
ma-66	66	3	this	this	DET
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ma-66	66	5	the	the	DET
ma-66	66	6	vertices	vertex	NOUN
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ma-66	66	10	(	(	PUNCT
ma-66	66	11	4a)r	4a)r	NUM
ma-66	66	12	=	=	SYM
ma-66	66	13	{	{	PUNCT
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ma-66	66	20	3b)r	3b)r	NUM
ma-66	66	21	=	=	SYM
ma-66	66	22	{	{	PUNCT
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ma-66	66	25	3c	3c	NUM
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ma-66	66	27	,	,	PUNCT
ma-66	66	28	(	(	PUNCT
ma-66	66	29	5e)r	5e)r	NUM
ma-66	66	30	=	=	SYM
ma-66	66	31	{	{	PUNCT
ma-66	66	32	4a	4a	NOUN
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ma-66	66	34	3c	3c	NUM
ma-66	66	35	,	,	PUNCT
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ma-66	66	38	,	,	PUNCT
ma-66	66	39	(	(	PUNCT
ma-66	66	40	3c)r	3c)r	NUM
ma-66	66	41	=	=	SYM
ma-66	66	42	{	{	PUNCT
ma-66	66	43	3b	3b	NUM
ma-66	66	44	,	,	PUNCT
ma-66	66	45	3d	3d	NUM
ma-66	66	46	,	,	PUNCT
ma-66	66	47	5e	5e	NOUN
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ma-66	66	49	,	,	PUNCT
ma-66	66	50	(	(	PUNCT
ma-66	66	51	3d)r	3d)r	NUM
ma-66	66	52	=	=	SYM
ma-66	66	53	{	{	PUNCT
ma-66	66	54	3c	3c	NUM
ma-66	66	55	,	,	PUNCT
ma-66	66	56	5e	5e	NOUN
ma-66	66	57	}	}	PUNCT
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ma-66	66	59	sg	sg	ADV
ma-66	66	60	=	=	PUNCT
ma-66	66	61	{	{	PUNCT
ma-66	66	62	{	{	PUNCT
ma-66	66	63	3b	3b	NUM
ma-66	66	64	,	,	PUNCT
ma-66	66	65	5e	5e	NUM
ma-66	66	66	}	}	PUNCT
ma-66	66	67	,	,	PUNCT
ma-66	66	68	{	{	PUNCT
ma-66	66	69	4a	4a	NOUN
ma-66	66	70	,	,	PUNCT
ma-66	66	71	3c	3c	NUM
ma-66	66	72	}	}	PUNCT
ma-66	66	73	,	,	PUNCT
ma-66	66	74	{	{	PUNCT
ma-66	66	75	4a	4a	NOUN
ma-66	66	76	,	,	PUNCT
ma-66	66	77	3c	3c	NUM
ma-66	66	78	,	,	PUNCT
ma-66	66	79	3d	3d	NUM
ma-66	66	80	}	}	PUNCT
ma-66	66	81	,	,	PUNCT
ma-66	66	82	{	{	PUNCT
ma-66	66	83	4a	4a	NOUN
ma-66	66	84	,	,	PUNCT
ma-66	66	85	3d	3d	NUM
ma-66	66	86	,	,	PUNCT
ma-66	66	87	5e	5e	NOUN
ma-66	66	88	}	}	PUNCT
ma-66	66	89	,	,	PUNCT
ma-66	66	90	{	{	PUNCT
ma-66	66	91	3c	3c	NUM
ma-66	66	92	,	,	PUNCT
ma-66	66	93	5e	5e	NOUN
ma-66	66	94	}	}	PUNCT
ma-66	66	95	}	}	PUNCT
ma-66	66	96	base	base	NOUN
ma-66	66	97	βg	βg	ADV
ma-66	66	98	=	=	PUNCT
ma-66	66	99	{	{	PUNCT
ma-66	66	100	x	x	PROPN
ma-66	66	101	,	,	PUNCT
ma-66	66	102	φ	φ	NUM
ma-66	66	103	,	,	PUNCT
ma-66	66	104	{	{	PUNCT
ma-66	66	105	3b	3b	NUM
ma-66	66	106	,	,	PUNCT
ma-66	66	107	5e	5e	NUM
ma-66	66	108	}	}	PUNCT
ma-66	66	109	,	,	PUNCT
ma-66	66	110	{	{	PUNCT
ma-66	66	111	4a	4a	NOUN
ma-66	66	112	,	,	PUNCT
ma-66	66	113	3c	3c	NUM
ma-66	66	114	}	}	PUNCT
ma-66	66	115	,	,	PUNCT
ma-66	66	116	{	{	PUNCT
ma-66	66	117	4a	4a	NOUN
ma-66	66	118	,	,	PUNCT
ma-66	66	119	3c	3c	NUM
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ma-66	66	121	3d	3d	NUM
ma-66	66	122	}	}	PUNCT
ma-66	66	123	,	,	PUNCT
ma-66	66	124	{	{	PUNCT
ma-66	66	125	3b	3b	NUM
ma-66	66	126	,	,	PUNCT
ma-66	66	127	3d	3d	NUM
ma-66	66	128	,	,	PUNCT
ma-66	66	129	5e	5e	NOUN
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ma-66	66	131	,	,	PUNCT
ma-66	66	132	{	{	PUNCT
ma-66	66	133	3c	3c	NUM
ma-66	66	134	,	,	PUNCT
ma-66	66	135	5e	5e	NOUN
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ma-66	66	137	,	,	PUNCT
ma-66	66	138	{	{	PUNCT
ma-66	66	139	5e	5e	NOUN
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ma-66	66	141	,	,	PUNCT
ma-66	66	142	{	{	PUNCT
ma-66	66	143	3c	3c	NUM
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ma-66	66	145	,	,	PUNCT
ma-66	66	146	{	{	PUNCT
ma-66	66	147	3d	3d	NOUN
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ma-66	66	150	τg	τg	NOUN
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ma-66	66	152	{	{	PUNCT
ma-66	66	153	x	x	PROPN
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ma-66	66	155	φ	φ	NUM
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ma-66	66	157	{	{	PUNCT
ma-66	66	158	3b	3b	NUM
ma-66	66	159	,	,	PUNCT
ma-66	66	160	5e	5e	NUM
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ma-66	66	162	,	,	PUNCT
ma-66	66	163	{	{	PUNCT
ma-66	66	164	4a	4a	NOUN
ma-66	66	165	,	,	PUNCT
ma-66	66	166	3c	3c	NUM
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ma-66	66	168	,	,	PUNCT
ma-66	66	169	{	{	PUNCT
ma-66	66	170	4a	4a	NOUN
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ma-66	66	172	3c	3c	NUM
ma-66	66	173	,	,	PUNCT
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ma-66	66	176	,	,	PUNCT
ma-66	66	177	{	{	PUNCT
ma-66	66	178	3b	3b	NUM
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ma-66	66	180	3d	3d	NUM
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ma-66	66	184	,	,	PUNCT
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ma-66	66	186	3c	3c	NUM
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ma-66	66	188	5e	5e	NOUN
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ma-66	66	190	,	,	PUNCT
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ma-66	66	194	,	,	PUNCT
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ma-66	66	196	3d	3d	NOUN
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ma-66	66	198	,	,	PUNCT
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ma-66	66	202	,	,	PUNCT
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ma-66	66	204	4a	4a	NOUN
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ma-66	66	212	,	,	PUNCT
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ma-66	66	214	4a	4a	NOUN
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ma-66	66	230	,	,	PUNCT
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ma-66	66	232	4a	4a	NOUN
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ma-66	66	238	,	,	PUNCT
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ma-66	66	246	3b	3b	NUM
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ma-66	66	254	,	,	PUNCT
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ma-66	66	256	3c	3c	NUM
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ma-66	66	262	,	,	PUNCT
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ma-66	66	264	3c	3c	NUM
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ma-66	66	268	,	,	PUNCT
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ma-66	66	270	3c	3c	NUM
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ma-66	66	274	,	,	PUNCT
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ma-66	66	276	3d	3d	NOUN
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ma-66	66	278	5e	5e	NOUN
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ma-66	68	2	.	.	PUNCT
ma-66	69	1	10.28924	10.28924	NUM
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ma-66	69	9	(	(	PUNCT
ma-66	69	10	3	3	X
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ma-66	70	1	(	(	PUNCT
ma-66	70	2	3a)r	3a)r	NUM
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ma-66	70	7	3c	3c	NUM
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ma-66	70	11	,	,	PUNCT
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ma-66	70	13	2b)r	2b)r	NUM
ma-66	70	14	=	=	SYM
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ma-66	70	51	,	,	PUNCT
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ma-66	70	53	3a	3a	NUM
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ma-66	70	57	,	,	PUNCT
ma-66	70	58	{	{	PUNCT
ma-66	70	59	2b	2b	NOUN
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ma-66	70	65	,	,	PUNCT
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ma-66	70	67	3a	3a	NUM
ma-66	70	68	,	,	PUNCT
ma-66	70	69	3c	3c	NUM
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ma-66	70	72	βg	βg	ADV
ma-66	70	73	=	=	PUNCT
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ma-66	70	75	x	x	PROPN
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ma-66	70	80	2b	2b	NOUN
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ma-66	70	82	3c	3c	NUM
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ma-66	70	86	,	,	PUNCT
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ma-66	70	88	3a	3a	NUM
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ma-66	70	90	3c	3c	NUM
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ma-66	70	92	,	,	PUNCT
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ma-66	70	94	3a	3a	NUM
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ma-66	70	96	2b	2b	NOUN
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ma-66	70	100	,	,	PUNCT
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ma-66	70	102	3a	3a	NUM
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ma-66	70	104	3c	3c	NUM
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ma-66	70	110	,	,	PUNCT
ma-66	70	111	{	{	PUNCT
ma-66	70	112	2b	2b	NOUN
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ma-66	70	121	τg	τg	NOUN
ma-66	71	1	=	=	SYM
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ma-66	72	2	x	x	PROPN
ma-66	72	3	,	,	PUNCT
ma-66	72	4	φ	φ	PROPN
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ma-66	72	9	3c	3c	NUM
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ma-66	72	13	,	,	PUNCT
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ma-66	72	15	3a	3a	NUM
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ma-66	72	17	3c	3c	NUM
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ma-66	72	19	,	,	PUNCT
ma-66	72	20	{	{	PUNCT
ma-66	72	21	3a	3a	NUM
ma-66	72	22	,	,	PUNCT
ma-66	72	23	2b	2b	NOUN
ma-66	72	24	,	,	PUNCT
ma-66	72	25	2d	2d	NOUN
ma-66	72	26	}	}	PUNCT
ma-66	72	27	,	,	PUNCT
ma-66	72	28	{	{	PUNCT
ma-66	72	29	3a	3a	NUM
ma-66	72	30	,	,	PUNCT
ma-66	72	31	3c	3c	NUM
ma-66	72	32	}	}	PUNCT
ma-66	72	33	,	,	PUNCT
ma-66	72	34	{	{	PUNCT
ma-66	72	35	3c	3c	NUM
ma-66	72	36	}	}	PUNCT
ma-66	72	37	,	,	PUNCT
ma-66	72	38	{	{	PUNCT
ma-66	72	39	2b	2b	NOUN
ma-66	72	40	,	,	PUNCT
ma-66	72	41	2d	2d	NOUN
ma-66	72	42	}	}	PUNCT
ma-66	72	43	,	,	PUNCT
ma-66	72	44	{	{	PUNCT
ma-66	72	45	3a	3a	NUM
ma-66	72	46	}	}	PUNCT
ma-66	72	47	,	,	PUNCT
ma-66	72	48	{	{	PUNCT
ma-66	72	49	2b	2b	NOUN
ma-66	72	50	,	,	PUNCT
ma-66	72	51	3c	3c	NUM
ma-66	72	52	,	,	PUNCT
ma-66	72	53	2d	2d	NOUN
ma-66	72	54	}	}	PUNCT
ma-66	72	55	consider	consider	VERB
ma-66	72	56	that	that	PRON
ma-66	72	57	g	g	PROPN
ma-66	72	58	=	=	PUNCT
ma-66	72	59	(	(	PUNCT
ma-66	72	60	v	v	NOUN
ma-66	72	61	∗	∗	NOUN
ma-66	72	62	,	,	PUNCT
ma-66	72	63	e∗	e∗	PROPN
ma-66	72	64	)	)	PUNCT
ma-66	72	65	is	be	AUX
ma-66	72	66	graph	graph	VERB
ma-66	72	67	moreover	moreover	ADV
ma-66	72	68	h	h	NOUN
ma-66	72	69	is	be	AUX
ma-66	72	70	induced	induce	VERB
ma-66	72	71	subgraph	subgraph	NOUN
ma-66	72	72	for	for	ADP
ma-66	72	73	g.	g.	PROPN
ma-66	73	1	so	so	ADV
ma-66	73	2	,	,	PUNCT
ma-66	73	3	cl	cl	INTJ
ma-66	73	4	(	(	PUNCT
ma-66	73	5	v	v	NOUN
ma-66	73	6	∗	∗	NOUN
ma-66	73	7	(	(	PUNCT
ma-66	73	8	h	h	NOUN
ma-66	73	9	)	)	PUNCT
ma-66	73	10	)	)	PUNCT
ma-66	74	1	=	=	SYM
ma-66	74	2	v	v	X
ma-66	74	3	(	(	PUNCT
ma-66	74	4	h)u{x	h)u{x	NOUN
ma-66	74	5	∈	∈	PROPN
ma-66	74	6	v∗	v∗	PROPN
ma-66	74	7	(	(	PUNCT
ma-66	74	8	g	g	NOUN
ma-66	74	9	)	)	PUNCT
ma-66	74	10	;	;	PUNCT
ma-66	74	11	xr	xr	PROPN
ma-66	74	12	∩	∩	PROPN
ma-66	74	13	v	v	PROPN
ma-66	74	14	(	(	PUNCT
ma-66	74	15	h	h	NOUN
ma-66	74	16	)	)	PUNCT
ma-66	74	17	6=	6=	ADP
ma-66	74	18	φ	φ	PROPN
ma-66	74	19	furthermore	furthermore	ADV
ma-66	74	20	xr	xr	PROPN
ma-66	74	21	=	=	PUNCT
ma-66	74	22	{	{	PUNCT
ma-66	74	23	(	(	PUNCT
ma-66	74	24	degg	degg	NOUN
ma-66	74	25	(	(	PUNCT
ma-66	74	26	ar	ar	PROPN
ma-66	74	27	)	)	PUNCT
ma-66	74	28	ar	ar	PROPN
ma-66	74	29	)	)	PUNCT
ma-66	74	30	}	}	PUNCT
ma-66	74	31	∀	∀	PUNCT
ma-66	74	32	r	r	NOUN
ma-66	74	33	∈	∈	NOUN
ma-66	75	1	i	i	PRON
ma-66	75	2	and	and	CCONJ
ma-66	75	3	ar	ar	PROPN
ma-66	75	4	is	be	AUX
ma-66	75	5	set	set	VERB
ma-66	75	6	of	of	ADP
ma-66	75	7	every	every	DET
ma-66	75	8	adjacent	adjacent	ADJ
ma-66	75	9	vertices	vertex	NOUN
ma-66	75	10	vi	vi	X
ma-66	75	11	.suppose	.suppose	PUNCT
ma-66	75	12	that	that	PRON
ma-66	75	13	g	g	PROPN
ma-66	75	14	=	=	PUNCT
ma-66	75	15	(	(	PUNCT
ma-66	75	16	v	v	NOUN
ma-66	75	17	∗	∗	NOUN
ma-66	75	18	,	,	PUNCT
ma-66	75	19	e∗	e∗	PROPN
ma-66	75	20	)	)	PUNCT
ma-66	75	21	is	be	AUX
ma-66	75	22	graph	graph	NOUN
ma-66	75	23	.	.	PUNCT
ma-66	76	1	moreover	moreover	ADV
ma-66	76	2	h	h	PROPN
ma-66	76	3	is	be	AUX
ma-66	76	4	induced	induce	VERB
ma-66	76	5	subgraph	subgraph	NOUN
ma-66	76	6	for	for	ADP
ma-66	76	7	g	g	PROPN
ma-66	76	8	and	and	CCONJ
ma-66	76	9	int	int	PROPN
ma-66	76	10	(	(	PUNCT
ma-66	76	11	v	v	NOUN
ma-66	76	12	∗	∗	NOUN
ma-66	76	13	(	(	PUNCT
ma-66	76	14	h	h	NOUN
ma-66	76	15	)	)	PUNCT
ma-66	76	16	)	)	PUNCT
ma-66	77	1	=	=	PRON
ma-66	77	2	{	{	PUNCT
ma-66	77	3	x	x	PUNCT
ma-66	77	4	∈	∈	PROPN
ma-66	77	5	v	v	ADP
ma-66	77	6	∗	∗	NOUN
ma-66	77	7	(	(	PUNCT
ma-66	77	8	g	g	NOUN
ma-66	77	9	)	)	PUNCT
ma-66	77	10	;	;	PUNCT
ma-66	77	11	xr	xr	PROPN
ma-66	78	1	⊆	⊆	NUM
ma-66	78	2	v	v	X
ma-66	78	3	(	(	PUNCT
ma-66	78	4	h	h	NOUN
ma-66	78	5	)	)	PUNCT
ma-66	78	6	,	,	PUNCT
ma-66	78	7	xr	xr	PROPN
ma-66	78	8	=	=	PROPN
ma-66	78	9	{	{	PUNCT
ma-66	78	10	(	(	PUNCT
ma-66	78	11	degg	degg	NOUN
ma-66	78	12	(	(	PUNCT
ma-66	78	13	ar	ar	PROPN
ma-66	78	14	)	)	PUNCT
ma-66	78	15	ar	ar	PROPN
ma-66	78	16	)	)	PUNCT
ma-66	78	17	∀	∀	X
ma-66	79	1	r	r	NOUN
ma-66	79	2	∈	∈	NOUN
ma-66	79	3	i	i	PRON
ma-66	79	4	and	and	CCONJ
ma-66	79	5	ar	ar	NOUN
ma-66	79	6	adjacent	adjacent	ADJ
ma-66	79	7	for	for	ADP
ma-66	79	8	x.	x.	PROPN
ma-66	79	9	4	4	NUM
ma-66	79	10	.	.	PUNCT
ma-66	80	1	some	some	DET
ma-66	80	2	applications	application	NOUN
ma-66	80	3	in	in	ADP
ma-66	80	4	this	this	DET
ma-66	80	5	part	part	NOUN
ma-66	80	6	we	we	PRON
ma-66	80	7	will	will	AUX
ma-66	80	8	give	give	VERB
ma-66	80	9	an	an	DET
ma-66	80	10	example	example	NOUN
ma-66	80	11	of	of	ADP
ma-66	80	12	blood	blood	NOUN
ma-66	80	13	circulation	circulation	NOUN
ma-66	80	14	in	in	ADP
ma-66	80	15	lungs	lung	NOUN
ma-66	80	16	.	.	PUNCT
ma-66	81	1	we	we	PRON
ma-66	81	2	will	will	AUX
ma-66	81	3	also	also	ADV
ma-66	81	4	draw	draw	VERB
ma-66	81	5	topologicalstructure	topologicalstructure	NOUN
ma-66	81	6	of	of	ADP
ma-66	81	7	this	this	DET
ma-66	81	8	circulation	circulation	NOUN
ma-66	81	9	.	.	PUNCT
ma-66	82	1	we	we	PRON
ma-66	82	2	will	will	AUX
ma-66	82	3	relate	relate	VERB
ma-66	82	4	mathematics	mathematic	NOUN
ma-66	82	5	with	with	ADP
ma-66	82	6	medical	medical	ADJ
ma-66	82	7	field	field	NOUN
ma-66	82	8	.	.	PUNCT
ma-66	83	1	we	we	PRON
ma-66	83	2	will	will	AUX
ma-66	83	3	made	made	VERB
ma-66	83	4	graph	graph	NOUN
ma-66	83	5	ofit	ofit	NOUN
ma-66	83	6	.	.	PUNCT
ma-66	84	1	moreover	moreover	ADV
ma-66	84	2	,	,	PUNCT
ma-66	84	3	we	we	PRON
ma-66	84	4	will	will	AUX
ma-66	84	5	discuss	discuss	VERB
ma-66	84	6	few	few	ADJ
ma-66	84	7	reasons	reason	NOUN
ma-66	84	8	of	of	ADP
ma-66	84	9	disability	disability	NOUN
ma-66	84	10	in	in	ADP
ma-66	84	11	lungs	lung	NOUN
ma-66	84	12	and	and	CCONJ
ma-66	84	13	cause	cause	NOUN
ma-66	84	14	of	of	ADP
ma-66	84	15	dangerous	dangerous	ADJ
ma-66	84	16	diseases.we	diseases.we	NOUN
ma-66	84	17	will	will	AUX
ma-66	84	18	explain	explain	VERB
ma-66	84	19	these	these	DET
ma-66	84	20	diseases	disease	NOUN
ma-66	84	21	mathematically	mathematically	ADV
ma-66	84	22	.	.	PUNCT
ma-66	85	1	https://doi.org/10.28924/ada/ma.3.3	https://doi.org/10.28924/ada/ma.3.3	PROPN
ma-66	85	2	eur	eur	PROPN
ma-66	85	3	.	.	PUNCT
ma-66	86	1	j.	j.	PROPN
ma-66	86	2	math	math	PROPN
ma-66	86	3	.	.	PUNCT
ma-66	87	1	anal	anal	PROPN
ma-66	87	2	.	.	PUNCT
ma-66	88	1	10.28924	10.28924	NUM
ma-66	88	2	/	/	SYM
ma-66	88	3	ada	ada	PROPN
ma-66	88	4	/	/	SYM
ma-66	88	5	ma.3.3	ma.3.3	PROPN
ma-66	88	6	7	7	NUM
ma-66	88	7	here	here	ADV
ma-66	88	8	we	we	PRON
ma-66	88	9	will	will	AUX
ma-66	88	10	utilize	utilize	VERB
ma-66	88	11	our	our	PRON
ma-66	88	12	work	work	NOUN
ma-66	88	13	discussed	discuss	VERB
ma-66	88	14	above	above	ADV
ma-66	88	15	in	in	ADP
ma-66	88	16	medical	medical	ADJ
ma-66	88	17	field	field	NOUN
ma-66	88	18	.	.	PUNCT
ma-66	89	1	we	we	PRON
ma-66	89	2	will	will	AUX
ma-66	89	3	introduced	introduce	VERB
ma-66	89	4	the	the	DET
ma-66	89	5	techniquein	techniquein	ADJ
ma-66	89	6	which	which	PRON
ma-66	89	7	connected	connect	VERB
ma-66	89	8	graph	graph	NOUN
ma-66	89	9	is	be	AUX
ma-66	89	10	modifying	modify	VERB
ma-66	89	11	condition	condition	NOUN
ma-66	89	12	in	in	ADP
ma-66	89	13	the	the	DET
ma-66	89	14	medical	medical	ADJ
ma-66	89	15	field	field	NOUN
ma-66	89	16	.	.	PUNCT
ma-66	90	1	diagram	diagram	PROPN
ma-66	90	2	represent	represent	VERB
ma-66	90	3	to	to	PART
ma-66	90	4	graph	graph	VERB
ma-66	90	5	..	..	PUNCT
ma-66	90	6	https://doi.org/10.28924/ada/ma.3.3	https://doi.org/10.28924/ada/ma.3.3	PROPN
ma-66	90	7	eur	eur	PROPN
ma-66	90	8	.	.	PUNCT
ma-66	91	1	j.	j.	PROPN
ma-66	91	2	math	math	PROPN
ma-66	91	3	.	.	PUNCT
ma-66	92	1	anal	anal	PROPN
ma-66	92	2	.	.	PUNCT
ma-66	93	1	10.28924	10.28924	NUM
ma-66	93	2	/	/	SYM
ma-66	93	3	ada	ada	PROPN
ma-66	93	4	/	/	SYM
ma-66	93	5	ma.3.3	ma.3.3	PROPN
ma-66	93	6	8we	8we	NOUN
ma-66	93	7	can	can	AUX
ma-66	93	8	notice	notice	VERB
ma-66	93	9	the	the	DET
ma-66	93	10	blood	blood	NOUN
ma-66	93	11	circulation	circulation	NOUN
ma-66	93	12	in	in	ADP
ma-66	93	13	lungs	lung	NOUN
ma-66	93	14	is	be	AUX
ma-66	93	15	representation	representation	NOUN
ma-66	93	16	of	of	ADP
ma-66	93	17	set	set	NOUN
ma-66	93	18	of	of	ADP
ma-66	93	19	vertices	vertex	NOUN
ma-66	93	20	and	and	CCONJ
ma-66	93	21	edges	edge	NOUN
ma-66	93	22	.	.	PUNCT
ma-66	94	1	than	than	ADP
ma-66	94	2	,	,	PUNCT
ma-66	94	3	wecan	wecan	AUX
ma-66	94	4	define	define	VERB
ma-66	94	5	a	a	DET
ma-66	94	6	topological	topological	ADJ
ma-66	94	7	structure	structure	NOUN
ma-66	94	8	τg	τg	NOUN
ma-66	94	9	on	on	ADP
ma-66	94	10	that	that	PRON
ma-66	94	11	.	.	PUNCT
ma-66	95	1	post	post	NOUN
ma-66	95	2	classes	class	NOUN
ma-66	95	3	for	for	ADP
ma-66	95	4	vertices	vertex	NOUN
ma-66	95	5	in	in	ADP
ma-66	95	6	graph	graph	NOUN
ma-66	95	7	are	be	AUX
ma-66	95	8	the	the	DET
ma-66	95	9	followinggiven	followinggiven	NOUN
ma-66	95	10	below	below	ADV
ma-66	95	11	.	.	PUNCT
ma-66	96	1	(	(	PUNCT
ma-66	96	2	a1)r	a1)r	NOUN
ma-66	96	3	=	=	PRON
ma-66	96	4	{	{	PUNCT
ma-66	96	5	c3	c3	NOUN
ma-66	96	6	}	}	PUNCT
ma-66	96	7	,	,	PUNCT
ma-66	96	8	(	(	PUNCT
ma-66	96	9	b2)r	b2)r	NOUN
ma-66	96	10	=	=	SYM
ma-66	96	11	{	{	PUNCT
ma-66	96	12	c3	c3	NOUN
ma-66	96	13	}	}	PUNCT
ma-66	96	14	,	,	PUNCT
ma-66	96	15	(	(	PUNCT
ma-66	96	16	c3)r	c3)r	NOUN
ma-66	96	17	=	=	SYM
ma-66	96	18	{	{	PUNCT
ma-66	96	19	d4	d4	PROPN
ma-66	96	20	}	}	PUNCT
ma-66	96	21	,	,	PUNCT
ma-66	96	22	(	(	PUNCT
ma-66	96	23	d4)r	d4)r	NOUN
ma-66	96	24	=	=	SYM
ma-66	96	25	{	{	PUNCT
ma-66	96	26	f5	f5	PROPN
ma-66	96	27	}	}	PUNCT
ma-66	96	28	,	,	PUNCT
ma-66	96	29	(	(	PUNCT
ma-66	96	30	f5)r	f5)r	NOUN
ma-66	96	31	=	=	SYM
ma-66	96	32	{	{	PUNCT
ma-66	96	33	g6	g6	PROPN
ma-66	96	34	,	,	PUNCT
ma-66	96	35	h7	h7	PROPN
ma-66	96	36	}	}	PUNCT
ma-66	96	37	,	,	PUNCT
ma-66	96	38	(	(	PUNCT
ma-66	96	39	g6)r	g6)r	NOUN
ma-66	96	40	=	=	SYM
ma-66	96	41	{	{	PUNCT
ma-66	96	42	j9	j9	PROPN
ma-66	96	43	}	}	PUNCT
ma-66	96	44	,	,	PUNCT
ma-66	96	45	(	(	PUNCT
ma-66	96	46	h7)r	h7)r	NOUN
ma-66	96	47	=	=	SYM
ma-66	96	48	{	{	PUNCT
ma-66	96	49	i8	i8	NOUN
ma-66	96	50	}	}	PUNCT
ma-66	96	51	,	,	PUNCT
ma-66	96	52	(	(	PUNCT
ma-66	96	53	i8)r	i8)r	NOUN
ma-66	96	54	=	=	SYM
ma-66	96	55	{	{	PUNCT
ma-66	96	56	k10	k10	NOUN
ma-66	96	57	}	}	PUNCT
ma-66	96	58	,	,	PUNCT
ma-66	96	59	(	(	PUNCT
ma-66	96	60	j9)r	j9)r	NOUN
ma-66	96	61	=	=	SYM
ma-66	96	62	{	{	PUNCT
ma-66	96	63	k10	k10	NOUN
ma-66	96	64	}	}	PUNCT
ma-66	96	65	,	,	PUNCT
ma-66	96	66	(	(	PUNCT
ma-66	96	67	k10)r	k10)r	PROPN
ma-66	96	68	=	=	PUNCT
ma-66	96	69	{	{	PUNCT
ma-66	96	70	p11	p11	NOUN
ma-66	96	71	}	}	PUNCT
ma-66	96	72	,	,	PUNCT
ma-66	96	73	(	(	PUNCT
ma-66	96	74	p11)r	p11)r	PROPN
ma-66	96	75	=	=	PRON
ma-66	96	76	{	{	PUNCT
ma-66	96	77	q12	q12	NOUN
ma-66	96	78	}	}	PUNCT
ma-66	96	79	,	,	PUNCT
ma-66	96	80	(	(	PUNCT
ma-66	96	81	q12)r	q12)r	NOUN
ma-66	96	82	=	=	SYM
ma-66	96	83	{	{	PUNCT
ma-66	96	84	r13	r13	NOUN
ma-66	96	85	,	,	PUNCT
ma-66	96	86	s14	s14	NOUN
ma-66	96	87	}	}	PUNCT
ma-66	96	88	,	,	PUNCT
ma-66	96	89	(	(	PUNCT
ma-66	96	90	r13)r	r13)r	PROPN
ma-66	96	91	=	=	SYM
ma-66	96	92	{	{	PUNCT
ma-66	96	93	a1	a1	NOUN
ma-66	96	94	}	}	PUNCT
ma-66	96	95	,	,	PUNCT
ma-66	96	96	(	(	PUNCT
ma-66	96	97	s14)r	s14)r	PROPN
ma-66	96	98	=	=	PRON
ma-66	96	99	{	{	PUNCT
ma-66	96	100	b2}the	b2}the	DET
ma-66	96	101	subbase	subbase	NOUN
ma-66	96	102	has	have	VERB
ma-66	96	103	a	a	DET
ma-66	96	104	form	form	NOUN
ma-66	96	105	sg	sg	ADP
ma-66	96	106	=	=	PUNCT
ma-66	96	107	{	{	PUNCT
ma-66	96	108	{	{	PUNCT
ma-66	96	109	c3	c3	NOUN
ma-66	96	110	}	}	PUNCT
ma-66	96	111	,	,	PUNCT
ma-66	96	112	{	{	PUNCT
ma-66	96	113	d4	d4	PROPN
ma-66	96	114	}	}	PUNCT
ma-66	96	115	,	,	PUNCT
ma-66	96	116	{	{	PUNCT
ma-66	96	117	f5	f5	NOUN
ma-66	96	118	}	}	PUNCT
ma-66	96	119	,	,	PUNCT
ma-66	96	120	{	{	PUNCT
ma-66	96	121	g6	g6	X
ma-66	96	122	,	,	PUNCT
ma-66	96	123	h7	h7	PROPN
ma-66	96	124	}	}	PUNCT
ma-66	96	125	,	,	PUNCT
ma-66	96	126	{	{	PUNCT
ma-66	96	127	j9	j9	PROPN
ma-66	96	128	}	}	PUNCT
ma-66	96	129	,	,	PUNCT
ma-66	96	130	{	{	PUNCT
ma-66	96	131	i8	i8	NOUN
ma-66	96	132	}	}	PUNCT
ma-66	96	133	,	,	PUNCT
ma-66	96	134	{	{	PUNCT
ma-66	96	135	k10	k10	NOUN
ma-66	96	136	}	}	PUNCT
ma-66	96	137	,	,	PUNCT
ma-66	96	138	{	{	PUNCT
ma-66	96	139	p11	p11	NOUN
ma-66	96	140	}	}	PUNCT
ma-66	96	141	,	,	PUNCT
ma-66	96	142	{	{	PUNCT
ma-66	96	143	q12	q12	NOUN
ma-66	96	144	}	}	PUNCT
ma-66	96	145	,	,	PUNCT
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ma-66	99	29	,	,	PUNCT
ma-66	99	30	s14	s14	NOUN
ma-66	99	31	}	}	PUNCT
ma-66	99	32	,	,	PUNCT
ma-66	99	33	{	{	PUNCT
ma-66	99	34	k10	k10	PROPN
ma-66	99	35	,	,	PUNCT
ma-66	99	36	a1	a1	NOUN
ma-66	99	37	,	,	PUNCT
ma-66	99	38	b2	b2	NOUN
ma-66	99	39	}	}	PUNCT
ma-66	99	40	,	,	PUNCT
ma-66	99	41	{	{	PUNCT
ma-66	99	42	p11	p11	NOUN
ma-66	99	43	,	,	PUNCT
ma-66	99	44	q12	q12	NOUN
ma-66	99	45	}	}	PUNCT
ma-66	99	46	,	,	PUNCT
ma-66	99	47	{	{	PUNCT
ma-66	99	48	p11	p11	NOUN
ma-66	99	49	,	,	PUNCT
ma-66	99	50	r13	r13	NOUN
ma-66	99	51	,	,	PUNCT
ma-66	99	52	s14	s14	NOUN
ma-66	99	53	}	}	PUNCT
ma-66	99	54	,	,	PUNCT
ma-66	99	55	{	{	PUNCT
ma-66	99	56	p11	p11	NOUN
ma-66	99	57	,	,	PUNCT
ma-66	99	58	a1	a1	PROPN
ma-66	99	59	}	}	PUNCT
ma-66	99	60	,	,	PUNCT
ma-66	99	61	{	{	PUNCT
ma-66	99	62	p11	p11	NOUN
ma-66	99	63	,	,	PUNCT
ma-66	99	64	b2	b2	NOUN
ma-66	99	65	}	}	PUNCT
ma-66	99	66	,	,	PUNCT
ma-66	99	67	{	{	PUNCT
ma-66	99	68	q12	q12	NOUN
ma-66	99	69	,	,	PUNCT
ma-66	99	70	r13	r13	PROPN
ma-66	99	71	,	,	PUNCT
ma-66	99	72	s14	s14	NOUN
ma-66	99	73	}	}	PUNCT
ma-66	99	74	,	,	PUNCT
ma-66	99	75	{	{	PUNCT
ma-66	99	76	q12	q12	NOUN
ma-66	99	77	,	,	PUNCT
ma-66	99	78	a1	a1	PROPN
ma-66	99	79	,	,	PUNCT
ma-66	99	80	}	}	PUNCT
ma-66	99	81	{	{	PUNCT
ma-66	99	82	q12	q12	NOUN
ma-66	99	83	,	,	PUNCT
ma-66	99	84	b2	b2	NOUN
ma-66	99	85	}	}	PUNCT
ma-66	99	86	,	,	PUNCT
ma-66	99	87	{	{	PUNCT
ma-66	99	88	r13	r13	NOUN
ma-66	99	89	,	,	PUNCT
ma-66	99	90	s14	s14	NOUN
ma-66	99	91	,	,	PUNCT
ma-66	99	92	a1	a1	NOUN
ma-66	99	93	}	}	PUNCT
ma-66	99	94	,	,	PUNCT
ma-66	99	95	{	{	PUNCT
ma-66	99	96	r13	r13	NOUN
ma-66	99	97	,	,	PUNCT
ma-66	99	98	s14	s14	NOUN
ma-66	99	99	,	,	PUNCT
ma-66	99	100	b2	b2	NOUN
ma-66	99	101	}	}	PUNCT
ma-66	99	102	,	,	PUNCT
ma-66	99	103	{	{	PUNCT
ma-66	99	104	a1	a1	NOUN
ma-66	99	105	,	,	PUNCT
ma-66	99	106	b2	b2	NOUN
ma-66	99	107	}	}	PUNCT
ma-66	99	108	initially	initially	ADV
ma-66	99	109	we	we	PRON
ma-66	99	110	get	get	VERB
ma-66	99	111	closure	closure	NOUN
ma-66	99	112	of	of	ADP
ma-66	99	113	graph	graph	NOUN
ma-66	99	114	.	.	PUNCT
ma-66	100	1	if	if	SCONJ
ma-66	100	2	h	h	NOUN
ma-66	100	3	is	be	AUX
ma-66	100	4	any	any	DET
ma-66	100	5	subgraph	subgraph	NOUN
ma-66	100	6	h	h	NOUN
ma-66	100	7	=	=	PUNCT
ma-66	100	8	{	{	PUNCT
ma-66	100	9	b2	b2	NOUN
ma-66	100	10	,	,	PUNCT
ma-66	100	11	c3	c3	PROPN
ma-66	100	12	,	,	PUNCT
ma-66	100	13	e2	e2	PROPN
ma-66	100	14	,	,	PUNCT
ma-66	100	15	e3	e3	NOUN
ma-66	100	16	,	,	PUNCT
ma-66	100	17	e4	e4	PROPN
ma-66	100	18	}	}	PUNCT
ma-66	100	19	that	that	PRON
ma-66	100	20	is	be	AUX
ma-66	100	21	v	v	NOUN
ma-66	100	22	(	(	PUNCT
ma-66	100	23	h	h	NOUN
ma-66	100	24	)	)	PUNCT
ma-66	100	25	=	=	SYM
ma-66	100	26	{	{	PUNCT
ma-66	100	27	b2	b2	NOUN
ma-66	100	28	,	,	PUNCT
ma-66	100	29	c3}by	c3}by	NOUN
ma-66	100	30	definition	definition	NOUN
ma-66	100	31	of	of	ADP
ma-66	100	32	closure	closure	NOUN
ma-66	100	33	for	for	ADP
ma-66	100	34	subgraph	subgraph	NOUN
ma-66	100	35	h	h	NOUN
ma-66	100	36	be	be	AUX
ma-66	100	37	cl	cl	NOUN
ma-66	100	38	(	(	PUNCT
ma-66	100	39	v	v	NOUN
ma-66	100	40	(	(	PUNCT
ma-66	100	41	h	h	NOUN
ma-66	100	42	)	)	PUNCT
ma-66	100	43	)	)	PUNCT
ma-66	101	1	=	=	PRON
ma-66	101	2	{	{	PUNCT
ma-66	101	3	b2	b2	NOUN
ma-66	101	4	,	,	PUNCT
ma-66	101	5	c3	c3	PROPN
ma-66	101	6	,	,	PUNCT
ma-66	101	7	d4	d4	PROPN
ma-66	101	8	}	}	PUNCT
ma-66	101	9	medically	medically	ADV
ma-66	101	10	,	,	PUNCT
ma-66	101	11	here	here	ADV
ma-66	101	12	we	we	PRON
ma-66	101	13	will	will	AUX
ma-66	101	14	use	use	VERB
ma-66	101	15	that	that	DET
ma-66	101	16	illustration	illustration	NOUN
ma-66	101	17	for	for	ADP
ma-66	101	18	circulation	circulation	NOUN
ma-66	101	19	of	of	ADP
ma-66	101	20	blood	blood	NOUN
ma-66	101	21	in	in	ADP
ma-66	101	22	lungs	lung	NOUN
ma-66	101	23	will	will	AUX
ma-66	101	24	be	be	AUX
ma-66	101	25	true	true	ADJ
ma-66	101	26	.	.	PUNCT
ma-66	102	1	bloodflow	bloodflow	NOUN
ma-66	102	2	in	in	ADP
ma-66	102	3	lungs	lung	NOUN
ma-66	102	4	by	by	ADP
ma-66	102	5	directed	direct	VERB
ma-66	102	6	path	path	NOUN
ma-66	102	7	to	to	PART
ma-66	102	8	complete	complete	VERB
ma-66	102	9	its	its	PRON
ma-66	102	10	cycle	cycle	NOUN
ma-66	102	11	.	.	PUNCT
ma-66	103	1	but	but	CCONJ
ma-66	103	2	due	due	ADP
ma-66	103	3	to	to	ADP
ma-66	103	4	any	any	DET
ma-66	103	5	fault	fault	NOUN
ma-66	103	6	flow	flow	NOUN
ma-66	103	7	of	of	ADP
ma-66	103	8	blood	blood	NOUN
ma-66	103	9	distributeand	distributeand	NOUN
ma-66	103	10	stop	stop	NOUN
ma-66	103	11	.	.	PUNCT
ma-66	104	1	it	it	PRON
ma-66	104	2	create	create	VERB
ma-66	104	3	serious	serious	ADJ
ma-66	104	4	diseases	disease	NOUN
ma-66	104	5	.	.	PUNCT
ma-66	105	1	moreover	moreover	ADV
ma-66	105	2	,	,	PUNCT
ma-66	105	3	we	we	PRON
ma-66	105	4	can	can	AUX
ma-66	105	5	find	find	VERB
ma-66	105	6	interior	interior	ADJ
ma-66	105	7	for	for	ADP
ma-66	105	8	graph	graph	NOUN
ma-66	105	9	over	over	ADP
ma-66	105	10	subgraph	subgraph	NOUN
ma-66	105	11	h	h	NOUN
ma-66	105	12	=	=	PUNCT
ma-66	105	13	{	{	PUNCT
ma-66	105	14	f5	f5	PROPN
ma-66	105	15	,	,	PUNCT
ma-66	105	16	e5	e5	NOUN
ma-66	105	17	,	,	PUNCT
ma-66	105	18	g6	g6	PROPN
ma-66	105	19	,	,	PUNCT
ma-66	105	20	e7	e7	PROPN
ma-66	105	21	,	,	PUNCT
ma-66	105	22	h7	h7	PROPN
ma-66	105	23	}	}	PUNCT
ma-66	105	24	but	but	CCONJ
ma-66	105	25	from	from	ADP
ma-66	105	26	definition	definition	NOUN
ma-66	105	27	we	we	PRON
ma-66	105	28	can	can	AUX
ma-66	105	29	assume	assume	VERB
ma-66	105	30	intv	intv	ADJ
ma-66	105	31	(	(	PUNCT
ma-66	105	32	h	h	NOUN
ma-66	105	33	)	)	PUNCT
ma-66	105	34	=	=	SYM
ma-66	105	35	{	{	PUNCT
ma-66	105	36	f5	f5	PROPN
ma-66	105	37	,	,	PUNCT
ma-66	105	38	g6}in	g6}in	NOUN
ma-66	106	1	this	this	DET
ma-66	106	2	example	example	NOUN
ma-66	106	3	we	we	PRON
ma-66	106	4	note	note	VERB
ma-66	106	5	that	that	DET
ma-66	106	6	end	end	NOUN
ma-66	106	7	point	point	NOUN
ma-66	106	8	does	do	AUX
ma-66	106	9	not	not	PART
ma-66	106	10	include	include	VERB
ma-66	106	11	.	.	PUNCT
ma-66	107	1	this	this	DET
ma-66	107	2	contradiction	contradiction	NOUN
ma-66	107	3	in	in	ADP
ma-66	107	4	heart	heart	NOUN
ma-66	107	5	but	but	CCONJ
ma-66	107	6	suitablefor	suitablefor	NOUN
ma-66	107	7	lungs	lung	NOUN
ma-66	107	8	medically	medically	ADV
ma-66	107	9	because	because	SCONJ
ma-66	107	10	due	due	ADP
ma-66	107	11	to	to	ADP
ma-66	107	12	some	some	DET
ma-66	107	13	disorder	disorder	NOUN
ma-66	107	14	people	people	NOUN
ma-66	107	15	can	can	AUX
ma-66	107	16	also	also	ADV
ma-66	107	17	survive	survive	VERB
ma-66	107	18	with	with	ADP
ma-66	107	19	only	only	ADV
ma-66	107	20	one	one	NUM
ma-66	107	21	lungs	lung	NOUN
ma-66	107	22	thisis	thisis	NOUN
ma-66	107	23	gift	gift	NOUN
ma-66	107	24	of	of	ADP
ma-66	107	25	god	god	PROPN
ma-66	107	26	.	.	PUNCT
ma-66	108	1	5	5	NUM
ma-66	108	2	.	.	X
ma-66	109	1	some	some	DET
ma-66	109	2	serious	serious	ADJ
ma-66	109	3	diseases	disease	NOUN
ma-66	109	4	in	in	ADP
ma-66	109	5	lungs	lung	NOUN
ma-66	109	6	there	there	ADV
ma-66	109	7	are	be	VERB
ma-66	109	8	some	some	DET
ma-66	109	9	diseases	disease	NOUN
ma-66	109	10	in	in	ADP
ma-66	109	11	lungs	lung	NOUN
ma-66	109	12	due	due	ADP
ma-66	109	13	to	to	ADP
ma-66	109	14	some	some	DET
ma-66	109	15	disorder	disorder	NOUN
ma-66	109	16	.	.	PUNCT
ma-66	110	1	these	these	DET
ma-66	110	2	diseases	disease	NOUN
ma-66	110	3	are	be	AUX
ma-66	110	4	divided	divide	VERB
ma-66	110	5	in	in	ADP
ma-66	110	6	to	to	ADP
ma-66	110	7	somecategories	somecategorie	NOUN
ma-66	110	8	.	.	PUNCT
ma-66	111	1	we	we	PRON
ma-66	111	2	will	will	AUX
ma-66	111	3	discuss	discuss	VERB
ma-66	111	4	reasons	reason	NOUN
ma-66	111	5	of	of	ADP
ma-66	111	6	these	these	DET
ma-66	111	7	diseases	disease	NOUN
ma-66	111	8	and	and	CCONJ
ma-66	111	9	express	express	VERB
ma-66	111	10	them	they	PRON
ma-66	111	11	graphically	graphically	ADV
ma-66	111	12	.	.	PUNCT
ma-66	112	1	moreover	moreover	ADV
ma-66	112	2	,	,	PUNCT
ma-66	112	3	wewill	wewill	AUX
ma-66	112	4	also	also	ADV
ma-66	112	5	show	show	VERB
ma-66	112	6	topological	topological	ADJ
ma-66	112	7	structure	structure	NOUN
ma-66	112	8	.	.	PUNCT
ma-66	113	1	[	[	X
ma-66	113	2	3	3	X
ma-66	113	3	]	]	X
ma-66	113	4	https://doi.org/10.28924/ada/ma.3.3	https://doi.org/10.28924/ada/ma.3.3	PROPN
ma-66	113	5	eur	eur	PROPN
ma-66	113	6	.	.	PUNCT
ma-66	114	1	j.	j.	PROPN
ma-66	114	2	math	math	PROPN
ma-66	114	3	.	.	PUNCT
ma-66	115	1	anal	anal	PROPN
ma-66	115	2	.	.	PUNCT
ma-66	116	1	10.28924	10.28924	NUM
ma-66	116	2	/	/	SYM
ma-66	116	3	ada	ada	PROPN
ma-66	116	4	/	/	SYM
ma-66	116	5	ma.3.3	ma.3.3	PROPN
ma-66	116	6	105.1	105.1	NUM
ma-66	116	7	.	.	PUNCT
ma-66	117	1	pulmonary	pulmonary	ADJ
ma-66	117	2	arterial	arterial	ADJ
ma-66	117	3	hypertension	hypertension	NOUN
ma-66	117	4	.	.	PUNCT
ma-66	118	1	heart	heart	NOUN
ma-66	118	2	problem	problem	NOUN
ma-66	118	3	autoimmune	autoimmune	NOUN
ma-66	118	4	system	system	NOUN
ma-66	118	5	can	can	AUX
ma-66	118	6	cause	cause	VERB
ma-66	118	7	high	high	ADJ
ma-66	118	8	bloodpressure	bloodpressure	NOUN
ma-66	118	9	in	in	ADP
ma-66	118	10	pulmonary	pulmonary	ADJ
ma-66	118	11	arteries	artery	NOUN
ma-66	118	12	.	.	PUNCT
ma-66	119	1	(	(	PUNCT
ma-66	119	2	f5)r	f5)r	NOUN
ma-66	119	3	=	=	SYM
ma-66	119	4	{	{	PUNCT
ma-66	119	5	g6	g6	PROPN
ma-66	119	6	,	,	PUNCT
ma-66	119	7	h7	h7	PROPN
ma-66	119	8	}	}	PUNCT
ma-66	119	9	,	,	PUNCT
ma-66	119	10	(	(	PUNCT
ma-66	119	11	g6)r	g6)r	NOUN
ma-66	119	12	=	=	PUNCT
ma-66	119	13	{	{	PUNCT
ma-66	119	14	i8	i8	NOUN
ma-66	119	15	}	}	PUNCT
ma-66	119	16	,	,	PUNCT
ma-66	119	17	(	(	PUNCT
ma-66	119	18	h7)r	h7)r	NOUN
ma-66	119	19	=	=	SYM
ma-66	119	20	{	{	PUNCT
ma-66	119	21	j9	j9	PROPN
ma-66	119	22	}	}	PUNCT
ma-66	119	23	subbase	subbase	NOUN
ma-66	119	24	sg	sg	ADV
ma-66	119	25	=	=	PUNCT
ma-66	119	26	{	{	PUNCT
ma-66	119	27	{	{	PUNCT
ma-66	119	28	g6	g6	PROPN
ma-66	119	29	,	,	PUNCT
ma-66	119	30	h7	h7	PROPN
ma-66	119	31	}	}	PUNCT
ma-66	119	32	,	,	PUNCT
ma-66	119	33	{	{	PUNCT
ma-66	119	34	i8	i8	NOUN
ma-66	119	35	}	}	PUNCT
ma-66	119	36	,	,	PUNCT
ma-66	119	37	{	{	PUNCT
ma-66	119	38	j9}}base	j9}}base	NOUN
ma-66	119	39	βg	βg	ADV
ma-66	119	40	=	=	SYM
ma-66	119	41	{	{	PUNCT
ma-66	119	42	x	x	PROPN
ma-66	119	43	,	,	PUNCT
ma-66	119	44	φ	φ	NUM
ma-66	119	45	,	,	PUNCT
ma-66	119	46	{	{	PUNCT
ma-66	119	47	g6	g6	X
ma-66	119	48	,	,	PUNCT
ma-66	119	49	h7	h7	PROPN
ma-66	119	50	}	}	PUNCT
ma-66	119	51	,	,	PUNCT
ma-66	119	52	{	{	PUNCT
ma-66	119	53	i8	i8	NOUN
ma-66	119	54	}	}	PUNCT
ma-66	119	55	,	,	PUNCT
ma-66	119	56	{	{	PUNCT
ma-66	119	57	j9}}topology	j9}}topology	NOUN
ma-66	119	58	τg	τg	NUM
ma-66	119	59	=	=	SYM
ma-66	119	60	{	{	PUNCT
ma-66	119	61	x	x	PROPN
ma-66	119	62	,	,	PUNCT
ma-66	119	63	φ	φ	NUM
ma-66	119	64	,	,	PUNCT
ma-66	119	65	{	{	PUNCT
ma-66	119	66	g6	g6	X
ma-66	119	67	,	,	PUNCT
ma-66	119	68	h7	h7	PROPN
ma-66	119	69	}	}	PUNCT
ma-66	119	70	,	,	PUNCT
ma-66	119	71	{	{	PUNCT
ma-66	119	72	i8	i8	NOUN
ma-66	119	73	}	}	PUNCT
ma-66	119	74	,	,	PUNCT
ma-66	119	75	{	{	PUNCT
ma-66	119	76	j9	j9	PROPN
ma-66	119	77	}	}	PUNCT
ma-66	119	78	,	,	PUNCT
ma-66	119	79	{	{	PUNCT
ma-66	119	80	g6	g6	X
ma-66	119	81	,	,	PUNCT
ma-66	119	82	h7	h7	PROPN
ma-66	119	83	,	,	PUNCT
ma-66	119	84	i8	i8	PROPN
ma-66	119	85	}	}	PUNCT
ma-66	119	86	,	,	PUNCT
ma-66	119	87	{	{	PUNCT
ma-66	119	88	g6	g6	X
ma-66	119	89	,	,	PUNCT
ma-66	119	90	h7	h7	PROPN
ma-66	119	91	,	,	PUNCT
ma-66	119	92	j9	j9	PROPN
ma-66	119	93	}	}	PUNCT
ma-66	119	94	,	,	PUNCT
ma-66	119	95	{	{	PUNCT
ma-66	119	96	h8	h8	NOUN
ma-66	119	97	,	,	PUNCT
ma-66	119	98	j9	j9	PROPN
ma-66	119	99	}	}	PUNCT
ma-66	119	100	}	}	PUNCT
ma-66	119	101	5.2	5.2	NUM
ma-66	119	102	.	.	PUNCT
ma-66	120	1	pulmonary	pulmonary	ADJ
ma-66	120	2	venous	venous	ADJ
ma-66	120	3	hypertension	hypertension	NOUN
ma-66	120	4	.	.	PUNCT
ma-66	121	1	any	any	DET
ma-66	121	2	damage	damage	NOUN
ma-66	121	3	or	or	CCONJ
ma-66	121	4	self	self	NOUN
ma-66	121	5	eating	eat	VERB
ma-66	121	6	of	of	ADP
ma-66	121	7	mitral	mitral	ADJ
ma-66	121	8	valve	valve	NOUN
ma-66	121	9	can	can	AUX
ma-66	121	10	cause	cause	VERB
ma-66	121	11	higherblood	higherblood	NOUN
ma-66	121	12	pressure	pressure	NOUN
ma-66	121	13	in	in	ADP
ma-66	121	14	pulmonary	pulmonary	ADJ
ma-66	121	15	veins	vein	NOUN
ma-66	121	16	.	.	PUNCT
ma-66	122	1	(	(	PUNCT
ma-66	122	2	i8)r	i8)r	NOUN
ma-66	122	3	=	=	SYM
ma-66	122	4	{	{	PUNCT
ma-66	122	5	k10	k10	NOUN
ma-66	122	6	}	}	PUNCT
ma-66	122	7	,	,	PUNCT
ma-66	122	8	(	(	PUNCT
ma-66	122	9	j9)r	j9)r	NOUN
ma-66	122	10	=	=	SYM
ma-66	122	11	{	{	PUNCT
ma-66	122	12	k10	k10	NOUN
ma-66	122	13	}	}	PUNCT
ma-66	122	14	,	,	PUNCT
ma-66	122	15	(	(	PUNCT
ma-66	122	16	k10)r	k10)r	PROPN
ma-66	122	17	=	=	PUNCT
ma-66	122	18	{	{	PUNCT
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ma-66	128	26	=	=	PUNCT
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ma-66	135	11	,	,	PUNCT
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ma-66	136	3	1	1	NUM
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ma-66	138	11	li	li	PROPN
ma-66	138	12	,	,	PUNCT
ma-66	138	13	an	an	DET
ma-66	138	14	application	application	NOUN
ma-66	138	15	of	of	ADP
ma-66	138	16	rough	rough	ADJ
ma-66	138	17	sets	set	NOUN
ma-66	138	18	to	to	PART
ma-66	138	19	graph	graph	VERB
ma-66	138	20	theory	theory	NOUN
ma-66	138	21	,	,	PUNCT
ma-66	138	22	inform	inform	NOUN
ma-66	138	23	.	.	PUNCT
ma-66	139	1	sci	sci	PROPN
ma-66	139	2	.	.	PROPN
ma-66	139	3	201	201	NUM
ma-66	139	4	(	(	PUNCT
ma-66	139	5	2012	2012	NUM
ma-66	139	6	)	)	PUNCT
ma-66	140	1	114–127	114–127	NUM
ma-66	140	2	.	.	PUNCT
ma-66	140	3	https://doi.org/	https://doi.org/	VERB
ma-66	140	4	10.1016	10.1016	NUM
ma-66	140	5	/	/	SYM
ma-66	140	6	j.ins.2012.03.009.[4	j.ins.2012.03.009.[4	PROPN
ma-66	140	7	]	]	PUNCT
ma-66	140	8	m.	m.	NOUN
ma-66	140	9	shokray	shokray	NOUN
ma-66	140	10	,	,	PUNCT
ma-66	140	11	y.y	y.y	PROPN
ma-66	140	12	.	.	PROPN
ma-66	140	13	yousif	yousif	PROPN
ma-66	140	14	,	,	PUNCT
ma-66	140	15	closure	closure	NOUN
ma-66	140	16	operators	operator	NOUN
ma-66	140	17	on	on	ADP
ma-66	140	18	graph	graph	NOUN
ma-66	140	19	,	,	PUNCT
ma-66	140	20	aust	aust	PROPN
ma-66	140	21	.	.	PUNCT
ma-66	141	1	j.	j.	PROPN
ma-66	141	2	basic	basic	ADJ
ma-66	141	3	appl	appl	PROPN
ma-66	141	4	.	.	PUNCT
ma-66	142	1	sci	sci	PROPN
ma-66	142	2	.	.	PROPN
ma-66	142	3	5	5	NUM
ma-66	142	4	(	(	PUNCT
ma-66	142	5	2011	2011	NUM
ma-66	142	6	)	)	PUNCT
ma-66	142	7	1856	1856	NUM
ma-66	142	8	-	-	SYM
ma-66	142	9	1864.[5	1864.[5	NUM
ma-66	142	10	]	]	X
ma-66	142	11	g.	g.	NOUN
ma-66	142	12	birkhoff	birkhoff	PROPN
ma-66	142	13	,	,	PUNCT
ma-66	142	14	lattic	lattic	ADJ
ma-66	142	15	theory	theory	NOUN
ma-66	142	16	,	,	PUNCT
ma-66	142	17	amer	amer	PROPN
ma-66	142	18	math	math	PROPN
ma-66	142	19	.	.	PUNCT
ma-66	143	1	soc	soc	PROPN
ma-66	143	2	.	.	PUNCT
ma-66	144	1	1967.[6	1967.[6	NUM
ma-66	144	2	]	]	PUNCT
ma-66	144	3	z.	z.	PROPN
ma-66	144	4	bonikowski	bonikowski	PROPN
ma-66	144	5	,	,	PUNCT
ma-66	144	6	a	a	DET
ma-66	144	7	representation	representation	NOUN
ma-66	144	8	theorem	theorem	VERB
ma-66	144	9	for	for	ADP
ma-66	144	10	co	co	ADJ
ma-66	144	11	-	-	ADJ
ma-66	144	12	diagonalizable	diagonalizable	ADJ
ma-66	144	13	algebras	algebra	NOUN
ma-66	144	14	,	,	PUNCT
ma-66	144	15	rep	rep	PROPN
ma-66	144	16	math	math	PROPN
ma-66	144	17	logic	logic	NOUN
ma-66	144	18	,	,	PUNCT
ma-66	144	19	38	38	NUM
ma-66	144	20	(	(	PUNCT
ma-66	144	21	2004	2004	NUM
ma-66	144	22	)	)	PUNCT
ma-66	144	23	13	13	NUM
ma-66	144	24	-	-	PUNCT
ma-66	144	25	22.[7	22.[7	NUM
ma-66	144	26	]	]	PUNCT
ma-66	144	27	d.	d.	PROPN
ma-66	144	28	dikranjan	dikranjan	PROPN
ma-66	144	29	,	,	PUNCT
ma-66	144	30	w.	w.	PROPN
ma-66	144	31	tholen	tholen	PROPN
ma-66	144	32	,	,	PUNCT
ma-66	144	33	catogrical	catogrical	ADJ
ma-66	144	34	structure	structure	NOUN
ma-66	144	35	of	of	ADP
ma-66	144	36	closure	closure	NOUN
ma-66	144	37	operator	operator	NOUN
ma-66	144	38	,	,	PUNCT
ma-66	144	39	mathematics	mathematic	NOUN
ma-66	144	40	and	and	CCONJ
ma-66	144	41	its	its	PRON
ma-66	144	42	application	application	NOUN
ma-66	144	43	,	,	PUNCT
ma-66	144	44	kluwer	kluwer	PROPN
ma-66	144	45	academicpublisher	academicpublisher	ADV
ma-66	144	46	,	,	PUNCT
ma-66	144	47	dordrecht	dordrecht	PROPN
ma-66	144	48	,	,	PUNCT
ma-66	144	49	1995.[8	1995.[8	NUM
ma-66	144	50	]	]	X
ma-66	144	51	c.	c.	PROPN
ma-66	144	52	kuratowski	kuratowski	PROPN
ma-66	144	53	,	,	PUNCT
ma-66	144	54	topolgies	topolgie	NOUN
ma-66	144	55	,	,	PUNCT
ma-66	144	56	warsaw	warsaw	PROPN
ma-66	144	57	,	,	PUNCT
ma-66	144	58	1952.[9	1952.[9	NUM
ma-66	144	59	]	]	X
ma-66	144	60	w.	w.	PROPN
ma-66	144	61	shi	shi	PROPN
ma-66	144	62	,	,	PUNCT
ma-66	144	63	k.	k.	PROPN
ma-66	144	64	liu	liu	PROPN
ma-66	144	65	,	,	PUNCT
ma-66	144	66	a	a	DET
ma-66	144	67	fuzzy	fuzzy	ADJ
ma-66	144	68	topology	topology	NOUN
ma-66	144	69	for	for	ADP
ma-66	144	70	computing	compute	VERB
ma-66	144	71	the	the	DET
ma-66	144	72	interior	interior	NOUN
ma-66	144	73	,	,	PUNCT
ma-66	144	74	boundary	boundary	ADJ
ma-66	144	75	,	,	PUNCT
ma-66	144	76	and	and	CCONJ
ma-66	144	77	exterior	exterior	NOUN
ma-66	144	78	of	of	ADP
ma-66	144	79	spatial	spatial	ADJ
ma-66	144	80	objects	object	NOUN
ma-66	144	81	quantitativelyin	quantitativelyin	PROPN
ma-66	144	82	gis	gis	PROPN
ma-66	144	83	,	,	PUNCT
ma-66	144	84	computers	computer	NOUN
ma-66	144	85	geosci	geosci	PROPN
ma-66	144	86	.	.	PUNCT
ma-66	145	1	33	33	NUM
ma-66	145	2	(	(	PUNCT
ma-66	145	3	2007	2007	NUM
ma-66	145	4	)	)	PUNCT
ma-66	145	5	898–915	898–915	NUM
ma-66	145	6	.	.	PUNCT
ma-66	146	1	https://doi.org/10.1016/j.cageo.2006.10.013.[10	https://doi.org/10.1016/j.cageo.2006.10.013.[10	PROPN
ma-66	146	2	]	]	PUNCT
ma-66	146	3	c.	c.	PROPN
ma-66	146	4	largeron	largeron	PROPN
ma-66	146	5	,	,	PUNCT
ma-66	146	6	s.	s.	PROPN
ma-66	146	7	bonnevay	bonnevay	PROPN
ma-66	146	8	,	,	PUNCT
ma-66	146	9	a	a	DET
ma-66	146	10	pretopological	pretopological	ADJ
ma-66	146	11	approach	approach	NOUN
ma-66	146	12	for	for	ADP
ma-66	146	13	structural	structural	ADJ
ma-66	146	14	analysis	analysis	NOUN
ma-66	146	15	,	,	PUNCT
ma-66	146	16	inform	inform	NOUN
ma-66	146	17	.	.	PUNCT
ma-66	147	1	sci	sci	PROPN
ma-66	147	2	.	.	PROPN
ma-66	148	1	144	144	NUM
ma-66	148	2	(	(	PUNCT
ma-66	148	3	2002	2002	NUM
ma-66	148	4	)	)	PUNCT
ma-66	149	1	169–185	169–185	NUM
ma-66	149	2	.	.	PUNCT
ma-66	150	1	https://doi.org/10.1016/s0020-0255(02)00189-5.[11	https://doi.org/10.1016/s0020-0255(02)00189-5.[11	NOUN
ma-66	150	2	]	]	PUNCT
ma-66	150	3	b.m.r	b.m.r	ADJ
ma-66	150	4	.	.	PUNCT
ma-66	150	5	stadler	stadler	PROPN
ma-66	150	6	,	,	PUNCT
ma-66	150	7	pf	pf	PROPN
ma-66	150	8	.	.	PUNCT
ma-66	150	9	stadler	stadler	PROPN
ma-66	150	10	,	,	PUNCT
ma-66	150	11	generalized	generalize	VERB
ma-66	150	12	topological	topological	ADJ
ma-66	150	13	space	space	NOUN
ma-66	150	14	in	in	ADP
ma-66	150	15	involuntarily	involuntarily	ADV
ma-66	150	16	and	and	CCONJ
ma-66	150	17	combinational	combinational	ADJ
ma-66	150	18	chemistry	chemistry	NOUN
ma-66	150	19	,	,	PUNCT
ma-66	150	20	j.	j.	PROPN
ma-66	150	21	chem.inf	chem.inf	PROPN
ma-66	150	22	.	.	PUNCT
ma-66	151	1	comput	comput	PROPN
ma-66	151	2	.	.	PUNCT
ma-66	152	1	sci	sci	PROPN
ma-66	152	2	.	.	PROPN
ma-66	153	1	42	42	NUM
ma-66	153	2	(	(	PUNCT
ma-66	153	3	2002	2002	NUM
ma-66	153	4	)	)	PUNCT
ma-66	153	5	577	577	NUM
ma-66	153	6	-	-	SYM
ma-66	153	7	585.[12	585.[12	NUM
ma-66	153	8	]	]	PUNCT
ma-66	153	9	a.	a.	NOUN
ma-66	153	10	galton	galton	PROPN
ma-66	153	11	,	,	PUNCT
ma-66	153	12	a	a	DET
ma-66	153	13	generalized	generalize	VERB
ma-66	153	14	topological	topological	ADJ
ma-66	153	15	view	view	NOUN
ma-66	153	16	of	of	ADP
ma-66	153	17	motion	motion	NOUN
ma-66	153	18	in	in	ADP
ma-66	153	19	discrete	discrete	ADJ
ma-66	153	20	space	space	NOUN
ma-66	153	21	,	,	PUNCT
ma-66	153	22	theor	theor	PROPN
ma-66	153	23	.	.	PUNCT
ma-66	154	1	computer	computer	PROPN
ma-66	154	2	sci	sci	PROPN
ma-66	154	3	.	.	PROPN
ma-66	155	1	305	305	NUM
ma-66	155	2	(	(	PUNCT
ma-66	155	3	2003	2003	NUM
ma-66	155	4	)	)	PUNCT
ma-66	155	5	111	111	NUM
ma-66	155	6	-	-	SYM
ma-66	155	7	134.[13	134.[13	NUM
ma-66	155	8	]	]	X
ma-66	155	9	s.a	s.a	PROPN
ma-66	155	10	.	.	PROPN
ma-66	155	11	morris	morris	PROPN
ma-66	155	12	,	,	PUNCT
ma-66	155	13	topology	topology	NOUN
ma-66	155	14	without	without	ADP
ma-66	155	15	tears	tear	NOUN
ma-66	155	16	,	,	PUNCT
ma-66	155	17	online	online	ADJ
ma-66	155	18	e	e	NOUN
ma-66	155	19	-	-	NOUN
ma-66	155	20	book	book	NOUN
ma-66	155	21	,	,	PUNCT
ma-66	155	22	2017	2017	NUM
ma-66	155	23	.	.	PUNCT
ma-66	156	1	https://www.topologywithouttears.net/topbook	https://www.topologywithouttears.net/topbook	PROPN
ma-66	156	2	.	.	PUNCT
ma-66	157	1	pdf.[14	pdf.[14	PROPN
ma-66	157	2	]	]	PUNCT
ma-66	157	3	a.	a.	PROPN
ma-66	157	4	qayyum	qayyum	PROPN
ma-66	157	5	,	,	PUNCT
ma-66	157	6	m.	m.	PROPN
ma-66	157	7	shoaib	shoaib	PROPN
ma-66	157	8	,	,	PUNCT
ma-66	157	9	m.a	m.a	PROPN
ma-66	157	10	.	.	PROPN
ma-66	157	11	latif	latif	PROPN
ma-66	157	12	,	,	PUNCT
ma-66	157	13	a	a	DET
ma-66	157	14	generalized	generalized	ADJ
ma-66	157	15	inequality	inequality	NOUN
ma-66	157	16	of	of	ADP
ma-66	157	17	ostrowski	ostrowski	ADJ
ma-66	157	18	type	type	NOUN
ma-66	157	19	for	for	ADP
ma-66	157	20	twice	twice	ADJ
ma-66	157	21	differentiable	differentiable	ADJ
ma-66	157	22	boundedmappings	boundedmapping	NOUN
ma-66	157	23	and	and	CCONJ
ma-66	157	24	applications	application	NOUN
ma-66	157	25	,	,	PUNCT
ma-66	157	26	appl	appl	PROPN
ma-66	157	27	.	.	PROPN
ma-66	157	28	math	math	PROPN
ma-66	157	29	.	.	PUNCT
ma-66	158	1	sci	sci	PROPN
ma-66	158	2	.	.	PROPN
ma-66	158	3	8	8	NUM
ma-66	158	4	(	(	PUNCT
ma-66	158	5	2014	2014	NUM
ma-66	158	6	)	)	PUNCT
ma-66	158	7	1889	1889	NUM
ma-66	158	8	-	-	SYM
ma-66	158	9	1901	1901	NUM
ma-66	158	10	.	.	PUNCT
ma-66	159	1	https://doi.org/10.28924/ada/ma.3.3	https://doi.org/10.28924/ada/ma.3.3	PROPN
ma-66	159	2	https://doi.org/10.1016/j.ins.2012.03.009	https://doi.org/10.1016/j.ins.2012.03.009	PROPN
ma-66	159	3	https://doi.org/10.1016/j.ins.2012.03.009	https://doi.org/10.1016/j.ins.2012.03.009	PROPN
ma-66	159	4	https://doi.org/10.1016/j.cageo.2006.10.013	https://doi.org/10.1016/j.cageo.2006.10.013	PROPN
ma-66	159	5	https://doi.org/10.1016/s0020-0255(02)00189-5	https://doi.org/10.1016/s0020-0255(02)00189-5	PROPN
ma-66	159	6	https://www.topologywithouttears.net/topbook.pdf	https://www.topologywithouttears.net/topbook.pdf	PROPN
ma-66	159	7	https://www.topologywithouttears.net/topbook.pdf	https://www.topologywithouttears.net/topbook.pdf	PROPN
ma-66	159	8	1	1	NUM
ma-66	159	9	.	.	PUNCT
ma-66	160	1	introduction	introduction	NOUN
ma-66	160	2	and	and	CCONJ
ma-66	160	3	preliminaries	preliminary	NOUN
ma-66	160	4	2	2	NUM
ma-66	160	5	.	.	X
ma-66	160	6	relation	relation	NOUN
ma-66	160	7	over	over	ADP
ma-66	160	8	graph	graph	NOUN
ma-66	160	9	3	3	NUM
ma-66	160	10	.	.	PUNCT
ma-66	161	1	topological	topological	ADJ
ma-66	161	2	structure	structure	NOUN
ma-66	161	3	on	on	ADP
ma-66	161	4	graph	graph	NOUN
ma-66	161	5	4	4	NUM
ma-66	161	6	.	.	PUNCT
ma-66	162	1	some	some	DET
ma-66	162	2	applications	application	NOUN
ma-66	162	3	5	5	NUM
ma-66	162	4	.	.	PUNCT
ma-66	163	1	some	some	DET
ma-66	163	2	serious	serious	ADJ
ma-66	163	3	diseases	disease	NOUN
ma-66	163	4	in	in	ADP
ma-66	163	5	lungs	lung	NOUN
ma-66	163	6	5.1	5.1	NUM
ma-66	163	7	.	.	PUNCT
ma-66	164	1	pulmonary	pulmonary	ADJ
ma-66	164	2	arterial	arterial	ADJ
ma-66	164	3	hypertension	hypertension	NOUN
ma-66	164	4	5.2	5.2	NUM
ma-66	164	5	.	.	PUNCT
ma-66	165	1	pulmonary	pulmonary	ADJ
ma-66	165	2	venous	venous	ADJ
ma-66	165	3	hypertension	hypertension	NOUN
ma-66	165	4	5.3	5.3	NUM
ma-66	165	5	.	.	PUNCT
ma-66	166	1	pulmonary	pulmonary	ADJ
ma-66	166	2	embolism	embolism	NOUN
ma-66	166	3	6	6	NUM
ma-66	166	4	.	.	PUNCT
ma-66	167	1	conclusion	conclusion	NOUN
ma-66	167	2	references	reference	NOUN