id	sid	tid	token	lemma	pos
ejpam-5461	1	1	european	european	PROPN
ejpam-5461	1	2	journal	journal	PROPN
ejpam-5461	1	3	of	of	ADP
ejpam-5461	1	4	pure	pure	ADJ
ejpam-5461	1	5	and	and	CCONJ
ejpam-5461	1	6	applied	apply	VERB
ejpam-5461	1	7	mathematics	mathematic	NOUN
ejpam-5461	1	8	vol	vol	NOUN
ejpam-5461	1	9	.	.	PROPN
ejpam-5461	2	1	17	17	NUM
ejpam-5461	2	2	,	,	PUNCT
ejpam-5461	2	3	no	no	INTJ
ejpam-5461	2	4	.	.	NOUN
ejpam-5461	2	5	4	4	NUM
ejpam-5461	2	6	,	,	PUNCT
ejpam-5461	2	7	2024	2024	NUM
ejpam-5461	2	8	,	,	PUNCT
ejpam-5461	2	9	2586	2586	NUM
ejpam-5461	2	10	-	-	SYM
ejpam-5461	2	11	2620	2620	NUM
ejpam-5461	2	12	issn	issn	PROPN
ejpam-5461	2	13	1307	1307	NUM
ejpam-5461	2	14	-	-	SYM
ejpam-5461	2	15	5543	5543	NUM
ejpam-5461	2	16	–	–	PUNCT
ejpam-5461	3	1	ejpam.com	ejpam.com	X
ejpam-5461	3	2	published	publish	VERB
ejpam-5461	3	3	by	by	ADP
ejpam-5461	3	4	new	new	PROPN
ejpam-5461	3	5	york	york	PROPN
ejpam-5461	3	6	business	business	PROPN
ejpam-5461	3	7	global	global	PROPN
ejpam-5461	3	8	site	site	NOUN
ejpam-5461	3	9	selection	selection	NOUN
ejpam-5461	3	10	for	for	ADP
ejpam-5461	3	11	thermal	thermal	ADJ
ejpam-5461	3	12	power	power	NOUN
ejpam-5461	3	13	plant	plant	NOUN
ejpam-5461	3	14	based	base	VERB
ejpam-5461	3	15	on	on	ADP
ejpam-5461	3	16	sombor	sombor	NOUN
ejpam-5461	3	17	index	index	NOUN
ejpam-5461	3	18	in	in	ADP
ejpam-5461	3	19	neutrosophic	neutrosophic	ADJ
ejpam-5461	3	20	graphs	graph	NOUN
ejpam-5461	3	21	mohammed	mohammed	PROPN
ejpam-5461	3	22	alqahtani1	alqahtani1	PROPN
ejpam-5461	3	23	,	,	PUNCT
ejpam-5461	3	24	murugan	murugan	PROPN
ejpam-5461	3	25	kaviyarasu2,∗	kaviyarasu2,∗	PROPN
ejpam-5461	3	26	,	,	PUNCT
ejpam-5461	3	27	murugesan	murugesan	ADJ
ejpam-5461	3	28	rajeshwari3	rajeshwari3	NOUN
ejpam-5461	3	29	1	1	NUM
ejpam-5461	3	30	department	department	NOUN
ejpam-5461	3	31	of	of	ADP
ejpam-5461	3	32	basic	basic	ADJ
ejpam-5461	3	33	sciences	science	NOUN
ejpam-5461	3	34	,	,	PUNCT
ejpam-5461	3	35	college	college	NOUN
ejpam-5461	3	36	of	of	ADP
ejpam-5461	3	37	science	science	NOUN
ejpam-5461	3	38	and	and	CCONJ
ejpam-5461	3	39	theoretical	theoretical	ADJ
ejpam-5461	3	40	studies	study	NOUN
ejpam-5461	3	41	,	,	PUNCT
ejpam-5461	3	42	saudi	saudi	ADJ
ejpam-5461	3	43	electronic	electronic	ADJ
ejpam-5461	3	44	university	university	NOUN
ejpam-5461	3	45	,	,	PUNCT
ejpam-5461	3	46	p.o	p.o	PROPN
ejpam-5461	3	47	.	.	PROPN
ejpam-5461	3	48	box	box	PROPN
ejpam-5461	3	49	93499	93499	NUM
ejpam-5461	3	50	,	,	PUNCT
ejpam-5461	3	51	riyadh	riyadh	PROPN
ejpam-5461	3	52	11673	11673	NUM
ejpam-5461	3	53	,	,	PUNCT
ejpam-5461	3	54	saudi	saudi	PROPN
ejpam-5461	3	55	arabia	arabia	PROPN
ejpam-5461	3	56	2	2	NUM
ejpam-5461	3	57	department	department	NOUN
ejpam-5461	3	58	of	of	ADP
ejpam-5461	3	59	mathematics	mathematic	NOUN
ejpam-5461	3	60	,	,	PUNCT
ejpam-5461	3	61	vel	vel	PROPN
ejpam-5461	3	62	tech	tech	PROPN
ejpam-5461	3	63	rangarajan	rangarajan	PROPN
ejpam-5461	3	64	dr	dr	PROPN
ejpam-5461	3	65	.	.	PROPN
ejpam-5461	3	66	sagunthala	sagunthala	PROPN
ejpam-5461	3	67	r&d	r&d	PROPN
ejpam-5461	3	68	institute	institute	PROPN
ejpam-5461	3	69	of	of	ADP
ejpam-5461	3	70	science	science	NOUN
ejpam-5461	3	71	and	and	CCONJ
ejpam-5461	3	72	technology	technology	NOUN
ejpam-5461	3	73	,	,	PUNCT
ejpam-5461	3	74	chennai	chennai	PROPN
ejpam-5461	3	75	,	,	PUNCT
ejpam-5461	3	76	tamil	tamil	PROPN
ejpam-5461	3	77	nadu	nadu	NOUN
ejpam-5461	3	78	,	,	PUNCT
ejpam-5461	3	79	india-600	india-600	ADP
ejpam-5461	3	80	062	062	NUM
ejpam-5461	3	81	3	3	NUM
ejpam-5461	3	82	department	department	NOUN
ejpam-5461	3	83	of	of	ADP
ejpam-5461	3	84	mathematics	mathematics	PROPN
ejpam-5461	3	85	,	,	PUNCT
ejpam-5461	3	86	presidency	presidency	NOUN
ejpam-5461	3	87	university	university	NOUN
ejpam-5461	3	88	,	,	PUNCT
ejpam-5461	3	89	bangalore	bangalore	PROPN
ejpam-5461	3	90	,	,	PUNCT
ejpam-5461	3	91	560064	560064	NUM
ejpam-5461	3	92	,	,	PUNCT
ejpam-5461	3	93	india	india	PROPN
ejpam-5461	3	94	abstract	abstract	PROPN
ejpam-5461	3	95	.	.	PUNCT
ejpam-5461	4	1	a	a	DET
ejpam-5461	4	2	graph	graph	NOUN
ejpam-5461	4	3	or	or	CCONJ
ejpam-5461	4	4	molecular	molecular	ADJ
ejpam-5461	4	5	graph	graph	NOUN
ejpam-5461	4	6	’s	’s	PART
ejpam-5461	4	7	overall	overall	ADJ
ejpam-5461	4	8	resilience	resilience	NOUN
ejpam-5461	4	9	and	and	CCONJ
ejpam-5461	4	10	connectedness	connectedness	NOUN
ejpam-5461	4	11	are	be	AUX
ejpam-5461	4	12	gauged	gauge	VERB
ejpam-5461	4	13	by	by	ADP
ejpam-5461	4	14	the	the	DET
ejpam-5461	4	15	sombor	sombor	NOUN
ejpam-5461	4	16	index	index	NOUN
ejpam-5461	4	17	(	(	PUNCT
ejpam-5461	4	18	soi	soi	ADJ
ejpam-5461	4	19	)	)	PUNCT
ejpam-5461	4	20	.	.	PUNCT
ejpam-5461	5	1	it	it	PRON
ejpam-5461	5	2	is	be	AUX
ejpam-5461	5	3	an	an	DET
ejpam-5461	5	4	improved	improved	ADJ
ejpam-5461	5	5	version	version	NOUN
ejpam-5461	5	6	of	of	ADP
ejpam-5461	5	7	the	the	DET
ejpam-5461	5	8	conventional	conventional	ADJ
ejpam-5461	5	9	soi	soi	NOUN
ejpam-5461	5	10	that	that	PRON
ejpam-5461	5	11	is	be	AUX
ejpam-5461	5	12	designed	design	VERB
ejpam-5461	5	13	to	to	PART
ejpam-5461	5	14	capture	capture	VERB
ejpam-5461	5	15	ambiguity	ambiguity	NOUN
ejpam-5461	5	16	in	in	ADP
ejpam-5461	5	17	the	the	DET
ejpam-5461	5	18	relationships	relationship	NOUN
ejpam-5461	5	19	between	between	ADP
ejpam-5461	5	20	nodes	node	NOUN
ejpam-5461	5	21	or	or	CCONJ
ejpam-5461	5	22	atoms	atom	NOUN
ejpam-5461	5	23	.	.	PUNCT
ejpam-5461	6	1	this	this	DET
ejpam-5461	6	2	indicator	indicator	NOUN
ejpam-5461	6	3	aids	aid	VERB
ejpam-5461	6	4	in	in	ADP
ejpam-5461	6	5	assessing	assess	VERB
ejpam-5461	6	6	the	the	DET
ejpam-5461	6	7	network	network	NOUN
ejpam-5461	6	8	’s	’s	PART
ejpam-5461	6	9	resilience	resilience	NOUN
ejpam-5461	6	10	and	and	CCONJ
ejpam-5461	6	11	stability	stability	NOUN
ejpam-5461	6	12	in	in	ADP
ejpam-5461	6	13	erratic	erratic	ADJ
ejpam-5461	6	14	circumstances	circumstance	NOUN
ejpam-5461	6	15	.	.	PUNCT
ejpam-5461	7	1	we	we	PRON
ejpam-5461	7	2	have	have	AUX
ejpam-5461	7	3	investigated	investigate	VERB
ejpam-5461	7	4	the	the	DET
ejpam-5461	7	5	characteristics	characteristic	NOUN
ejpam-5461	7	6	of	of	ADP
ejpam-5461	7	7	the	the	DET
ejpam-5461	7	8	soi	soi	NOUN
ejpam-5461	7	9	of	of	ADP
ejpam-5461	7	10	neutrosophic	neutrosophic	ADJ
ejpam-5461	7	11	graphs	graph	NOUN
ejpam-5461	7	12	(	(	PUNCT
ejpam-5461	7	13	ngs	ng	NOUN
ejpam-5461	7	14	)	)	PUNCT
ejpam-5461	7	15	in	in	ADP
ejpam-5461	7	16	this	this	DET
ejpam-5461	7	17	study	study	NOUN
ejpam-5461	7	18	.	.	PUNCT
ejpam-5461	8	1	the	the	DET
ejpam-5461	8	2	association	association	NOUN
ejpam-5461	8	3	between	between	ADP
ejpam-5461	8	4	the	the	DET
ejpam-5461	8	5	neutrosophic	neutrosophic	ADJ
ejpam-5461	8	6	first	first	PROPN
ejpam-5461	8	7	zagreb	zagreb	PROPN
ejpam-5461	8	8	index	index	PROPN
ejpam-5461	8	9	(	(	PUNCT
ejpam-5461	8	10	nfzi	nfzi	NOUN
ejpam-5461	8	11	)	)	PUNCT
ejpam-5461	8	12	of	of	ADP
ejpam-5461	8	13	ngs	ng	NOUN
ejpam-5461	8	14	and	and	CCONJ
ejpam-5461	8	15	the	the	DET
ejpam-5461	8	16	neutrosophic	neutrosophic	ADJ
ejpam-5461	8	17	sombor	sombor	NOUN
ejpam-5461	8	18	index	index	NOUN
ejpam-5461	8	19	(	(	PUNCT
ejpam-5461	8	20	nsi	nsi	NOUN
ejpam-5461	8	21	)	)	PUNCT
ejpam-5461	8	22	was	be	AUX
ejpam-5461	8	23	revealed	reveal	VERB
ejpam-5461	8	24	in	in	ADP
ejpam-5461	8	25	the	the	DET
ejpam-5461	8	26	study	study	NOUN
ejpam-5461	8	27	.	.	PUNCT
ejpam-5461	9	1	the	the	DET
ejpam-5461	9	2	application	application	NOUN
ejpam-5461	9	3	of	of	ADP
ejpam-5461	9	4	soi	soi	PROPN
ejpam-5461	9	5	based	base	VERB
ejpam-5461	9	6	on	on	ADP
ejpam-5461	9	7	site	site	NOUN
ejpam-5461	9	8	selection	selection	NOUN
ejpam-5461	9	9	for	for	ADP
ejpam-5461	9	10	thermal	thermal	ADJ
ejpam-5461	9	11	power	power	NOUN
ejpam-5461	9	12	plants	plant	NOUN
ejpam-5461	9	13	in	in	ADP
ejpam-5461	9	14	ngs	ng	NOUN
ejpam-5461	9	15	is	be	AUX
ejpam-5461	9	16	finally	finally	ADV
ejpam-5461	9	17	covered	cover	VERB
ejpam-5461	9	18	.	.	PUNCT
ejpam-5461	10	1	2020	2020	NUM
ejpam-5461	10	2	mathematics	mathematic	NOUN
ejpam-5461	10	3	subject	subject	NOUN
ejpam-5461	10	4	classifications	classification	NOUN
ejpam-5461	10	5	:	:	PUNCT
ejpam-5461	10	6	05c72	05c72	NOUN
ejpam-5461	10	7	,	,	PUNCT
ejpam-5461	10	8	05c09	05c09	NUM
ejpam-5461	10	9	,	,	PUNCT
ejpam-5461	10	10	03b52	03b52	VERB
ejpam-5461	10	11	key	key	ADJ
ejpam-5461	10	12	words	word	NOUN
ejpam-5461	10	13	and	and	CCONJ
ejpam-5461	10	14	phrases	phrase	NOUN
ejpam-5461	10	15	:	:	PUNCT
ejpam-5461	10	16	fuzzy	fuzzy	ADJ
ejpam-5461	10	17	logic	logic	NOUN
ejpam-5461	10	18	,	,	PUNCT
ejpam-5461	10	19	neutrosophic	neutrosophic	ADJ
ejpam-5461	10	20	logic	logic	NOUN
ejpam-5461	10	21	,	,	PUNCT
ejpam-5461	10	22	nsoi	nsoi	PROPN
ejpam-5461	10	23	,	,	PUNCT
ejpam-5461	10	24	nfzi	nfzi	NOUN
ejpam-5461	10	25	,	,	PUNCT
ejpam-5461	10	26	nszi	nszi	NOUN
ejpam-5461	10	27	1	1	NUM
ejpam-5461	10	28	.	.	PUNCT
ejpam-5461	10	29	introduction	introduction	NOUN
ejpam-5461	10	30	1.1	1.1	NUM
ejpam-5461	10	31	.	.	PUNCT
ejpam-5461	11	1	fuzzy	fuzzy	ADJ
ejpam-5461	11	2	graphs(fgs	graphs(fgs	ADJ
ejpam-5461	11	3	)	)	PUNCT
ejpam-5461	11	4	real	real	ADJ
ejpam-5461	11	5	-	-	PUNCT
ejpam-5461	11	6	world	world	NOUN
ejpam-5461	11	7	problems	problem	NOUN
ejpam-5461	11	8	are	be	AUX
ejpam-5461	11	9	rarely	rarely	ADV
ejpam-5461	11	10	strict	strict	ADJ
ejpam-5461	11	11	and	and	CCONJ
ejpam-5461	11	12	often	often	ADV
ejpam-5461	11	13	involve	involve	VERB
ejpam-5461	11	14	fuzziness	fuzziness	NOUN
ejpam-5461	11	15	and	and	CCONJ
ejpam-5461	11	16	roughness	roughness	NOUN
ejpam-5461	11	17	.	.	PUNCT
ejpam-5461	12	1	with	with	ADP
ejpam-5461	12	2	the	the	DET
ejpam-5461	12	3	use	use	NOUN
ejpam-5461	12	4	of	of	ADP
ejpam-5461	12	5	fg	fg	PROPN
ejpam-5461	12	6	theory	theory	NOUN
ejpam-5461	12	7	,	,	PUNCT
ejpam-5461	12	8	real	real	ADJ
ejpam-5461	12	9	-	-	PUNCT
ejpam-5461	12	10	world	world	NOUN
ejpam-5461	12	11	problems	problem	NOUN
ejpam-5461	12	12	may	may	AUX
ejpam-5461	12	13	be	be	AUX
ejpam-5461	12	14	efficiently	efficiently	ADV
ejpam-5461	12	15	and	and	CCONJ
ejpam-5461	12	16	understandably	understandably	ADV
ejpam-5461	12	17	mathematically	mathematically	ADV
ejpam-5461	12	18	explained	explain	VERB
ejpam-5461	12	19	.	.	PUNCT
ejpam-5461	13	1	zadeh	zadeh	PROPN
ejpam-5461	13	2	used	use	VERB
ejpam-5461	13	3	this	this	DET
ejpam-5461	13	4	collection	collection	NOUN
ejpam-5461	13	5	’s	’s	PART
ejpam-5461	13	6	membership	membership	NOUN
ejpam-5461	13	7	function	function	NOUN
ejpam-5461	13	8	in	in	ADP
ejpam-5461	13	9	the	the	DET
ejpam-5461	13	10	work	work	NOUN
ejpam-5461	13	11	that	that	PRON
ejpam-5461	13	12	was	be	AUX
ejpam-5461	13	13	given	give	VERB
ejpam-5461	13	14	in	in	ADP
ejpam-5461	13	15	[	[	X
ejpam-5461	13	16	59	59	NUM
ejpam-5461	13	17	]	]	PUNCT
ejpam-5461	13	18	.	.	PUNCT
ejpam-5461	14	1	this	this	DET
ejpam-5461	14	2	function	function	NOUN
ejpam-5461	14	3	assigns	assign	VERB
ejpam-5461	14	4	a	a	DET
ejpam-5461	14	5	membership	membership	NOUN
ejpam-5461	14	6	value(mv	value(mv	NOUN
ejpam-5461	14	7	)	)	PUNCT
ejpam-5461	14	8	,	,	PUNCT
ejpam-5461	14	9	from	from	ADP
ejpam-5461	14	10	zero	zero	NUM
ejpam-5461	14	11	to	to	ADP
ejpam-5461	14	12	one	one	NUM
ejpam-5461	14	13	,	,	PUNCT
ejpam-5461	14	14	to	to	ADP
ejpam-5461	14	15	each	each	DET
ejpam-5461	14	16	member	member	NOUN
ejpam-5461	14	17	.	.	PUNCT
ejpam-5461	15	1	expanding	expand	VERB
ejpam-5461	15	2	the	the	DET
ejpam-5461	15	3	traditional	traditional	ADJ
ejpam-5461	15	4	knowledge	knowledge	NOUN
ejpam-5461	15	5	of	of	ADP
ejpam-5461	15	6	set	set	NOUN
ejpam-5461	15	7	theory	theory	NOUN
ejpam-5461	15	8	was	be	AUX
ejpam-5461	15	9	his	his	PRON
ejpam-5461	15	10	goal	goal	NOUN
ejpam-5461	15	11	.	.	PUNCT
ejpam-5461	16	1	human	human	ADJ
ejpam-5461	16	2	views	view	NOUN
ejpam-5461	16	3	,	,	PUNCT
ejpam-5461	16	4	judgment	judgment	NOUN
ejpam-5461	16	5	and	and	CCONJ
ejpam-5461	16	6	assessment	assessment	NOUN
ejpam-5461	16	7	,	,	PUNCT
ejpam-5461	16	8	according	accord	VERB
ejpam-5461	16	9	to	to	ADP
ejpam-5461	16	10	zadeh	zadeh	PROPN
ejpam-5461	16	11	and	and	CCONJ
ejpam-5461	16	12	goguen	goguen	PROPN
ejpam-5461	16	13	,	,	PUNCT
ejpam-5461	16	14	reduce	reduce	VERB
ejpam-5461	16	15	fuzziness	fuzziness	NOUN
ejpam-5461	16	16	.	.	PUNCT
ejpam-5461	17	1	fuzzy	fuzzy	ADJ
ejpam-5461	17	2	sets	set	NOUN
ejpam-5461	17	3	(	(	PUNCT
ejpam-5461	17	4	fss	fss	ADJ
ejpam-5461	17	5	)	)	PUNCT
ejpam-5461	17	6	are	be	AUX
ejpam-5461	17	7	useful	useful	ADJ
ejpam-5461	17	8	for	for	ADP
ejpam-5461	17	9	solving	solve	VERB
ejpam-5461	17	10	situations	situation	NOUN
ejpam-5461	17	11	where	where	SCONJ
ejpam-5461	17	12	the	the	DET
ejpam-5461	17	13	fault	fault	NOUN
ejpam-5461	17	14	is	be	AUX
ejpam-5461	17	15	caused	cause	VERB
ejpam-5461	17	16	by	by	ADP
ejpam-5461	17	17	random	random	ADJ
ejpam-5461	17	18	variables	variable	NOUN
ejpam-5461	17	19	rather	rather	ADV
ejpam-5461	17	20	than	than	ADP
ejpam-5461	17	21	class	class	NOUN
ejpam-5461	17	22	membership	membership	NOUN
ejpam-5461	17	23	.	.	PUNCT
ejpam-5461	18	1	scientists	scientist	NOUN
ejpam-5461	18	2	can	can	AUX
ejpam-5461	18	3	study	study	VERB
ejpam-5461	18	4	ambiguous	ambiguous	ADJ
ejpam-5461	18	5	conceptual	conceptual	ADJ
ejpam-5461	18	6	issues	issue	NOUN
ejpam-5461	18	7	with	with	ADP
ejpam-5461	18	8	the	the	DET
ejpam-5461	18	9	use	use	NOUN
ejpam-5461	18	10	of	of	ADP
ejpam-5461	18	11	this	this	DET
ejpam-5461	18	12	mathematical	mathematical	ADJ
ejpam-5461	18	13	technique	technique	NOUN
ejpam-5461	18	14	.	.	PUNCT
ejpam-5461	19	1	the	the	DET
ejpam-5461	19	2	1960s	1960	NOUN
ejpam-5461	19	3	and	and	CCONJ
ejpam-5461	19	4	1970s	1970	NOUN
ejpam-5461	19	5	saw	see	VERB
ejpam-5461	19	6	∗corresponding	∗corresponde	VERB
ejpam-5461	19	7	author	author	NOUN
ejpam-5461	19	8	.	.	PUNCT
ejpam-5461	20	1	doi	doi	NOUN
ejpam-5461	20	2	:	:	PUNCT
ejpam-5461	20	3	https://doi.org/10.29020/nybg.ejpam.v17i4.5461	https://doi.org/10.29020/nybg.ejpam.v17i4.5461	PRON
ejpam-5461	20	4	email	email	NOUN
ejpam-5461	20	5	addresses	address	NOUN
ejpam-5461	20	6	:	:	PUNCT
ejpam-5461	20	7	m.alqahtani@seu.edu.sa	m.alqahtani@seu.edu.sa	PROPN
ejpam-5461	20	8	(	(	PUNCT
ejpam-5461	20	9	m.	m.	NOUN
ejpam-5461	20	10	alqahtani	alqahtani	PROPN
ejpam-5461	20	11	)	)	PUNCT
ejpam-5461	20	12	,	,	PUNCT
ejpam-5461	20	13	kavitamilm@gmail.com	kavitamilm@gmail.com	PROPN
ejpam-5461	20	14	(	(	PUNCT
ejpam-5461	20	15	m.	m.	PROPN
ejpam-5461	20	16	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	20	17	)	)	PUNCT
ejpam-5461	20	18	,	,	PUNCT
ejpam-5461	20	19	rajeshwari@presidencyuniversity.in	rajeshwari@presidencyuniversity.in	PROPN
ejpam-5461	20	20	(	(	PUNCT
ejpam-5461	20	21	m.	m.	NOUN
ejpam-5461	20	22	rajeshwari	rajeshwari	PROPN
ejpam-5461	20	23	)	)	PUNCT
ejpam-5461	20	24	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5461	20	25	2586	2586	NUM
ejpam-5461	20	26	copyright	copyright	NOUN
ejpam-5461	20	27	:	:	PUNCT
ejpam-5461	20	28	©	©	PROPN
ejpam-5461	20	29	2024	2024	NUM
ejpam-5461	20	30	the	the	DET
ejpam-5461	20	31	author(s	author(s	NOUN
ejpam-5461	20	32	)	)	PUNCT
ejpam-5461	20	33	.	.	PUNCT
ejpam-5461	21	1	(	(	PUNCT
ejpam-5461	21	2	cc	cc	NOUN
ejpam-5461	21	3	by	by	ADP
ejpam-5461	21	4	-	-	PUNCT
ejpam-5461	21	5	nc	nc	PROPN
ejpam-5461	21	6	4.0	4.0	NUM
ejpam-5461	21	7	)	)	PUNCT
ejpam-5461	21	8	m.	m.	NOUN
ejpam-5461	21	9	alqahtani	alqahtani	PROPN
ejpam-5461	21	10	,	,	PUNCT
ejpam-5461	21	11	m.	m.	NOUN
ejpam-5461	21	12	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	21	13	,	,	PUNCT
ejpam-5461	21	14	m.	m.	NOUN
ejpam-5461	21	15	rajeshwari	rajeshwari	PROPN
ejpam-5461	21	16	/	/	SYM
ejpam-5461	21	17	eur	eur	PROPN
ejpam-5461	21	18	.	.	PUNCT
ejpam-5461	22	1	j.	j.	PROPN
ejpam-5461	22	2	pure	pure	PROPN
ejpam-5461	22	3	appl	appl	PROPN
ejpam-5461	22	4	.	.	PROPN
ejpam-5461	22	5	math	math	PROPN
ejpam-5461	22	6	,	,	PUNCT
ejpam-5461	22	7	17	17	NUM
ejpam-5461	22	8	(	(	PUNCT
ejpam-5461	22	9	4	4	NUM
ejpam-5461	22	10	)	)	PUNCT
ejpam-5461	22	11	(	(	PUNCT
ejpam-5461	22	12	2024	2024	NUM
ejpam-5461	22	13	)	)	PUNCT
ejpam-5461	22	14	,	,	PUNCT
ejpam-5461	22	15	2586	2586	NUM
ejpam-5461	22	16	-	-	SYM
ejpam-5461	22	17	2620	2620	NUM
ejpam-5461	22	18	2587	2587	NUM
ejpam-5461	22	19	a	a	DET
ejpam-5461	22	20	modest	modest	ADJ
ejpam-5461	22	21	increase	increase	NOUN
ejpam-5461	22	22	in	in	ADP
ejpam-5461	22	23	the	the	DET
ejpam-5461	22	24	acceptance	acceptance	NOUN
ejpam-5461	22	25	of	of	ADP
ejpam-5461	22	26	this	this	DET
ejpam-5461	22	27	notion	notion	NOUN
ejpam-5461	22	28	.	.	PUNCT
ejpam-5461	23	1	researchers	researcher	NOUN
ejpam-5461	23	2	were	be	AUX
ejpam-5461	23	3	interested	interested	ADJ
ejpam-5461	23	4	in	in	ADP
ejpam-5461	23	5	this	this	DET
ejpam-5461	23	6	area	area	NOUN
ejpam-5461	23	7	when	when	SCONJ
ejpam-5461	23	8	fuzzy	fuzzy	ADJ
ejpam-5461	23	9	systems	system	NOUN
ejpam-5461	23	10	built	build	VERB
ejpam-5461	23	11	around	around	ADP
ejpam-5461	23	12	rules	rule	NOUN
ejpam-5461	23	13	were	be	AUX
ejpam-5461	23	14	used	use	VERB
ejpam-5461	23	15	to	to	PART
ejpam-5461	23	16	control	control	VERB
ejpam-5461	23	17	technological	technological	ADJ
ejpam-5461	23	18	processes	process	NOUN
ejpam-5461	23	19	in	in	ADP
ejpam-5461	23	20	the	the	DET
ejpam-5461	23	21	late	late	ADJ
ejpam-5461	23	22	1970s	1970	NOUN
ejpam-5461	23	23	.	.	PUNCT
ejpam-5461	24	1	its	its	PRON
ejpam-5461	24	2	effective	effective	ADJ
ejpam-5461	24	3	application	application	NOUN
ejpam-5461	24	4	in	in	ADP
ejpam-5461	24	5	washing	washing	NOUN
ejpam-5461	24	6	machines	machine	NOUN
ejpam-5461	24	7	,	,	PUNCT
ejpam-5461	24	8	video	video	NOUN
ejpam-5461	24	9	cameras	camera	NOUN
ejpam-5461	24	10	,	,	PUNCT
ejpam-5461	24	11	subway	subway	NOUN
ejpam-5461	24	12	trains	train	NOUN
ejpam-5461	24	13	and	and	CCONJ
ejpam-5461	24	14	other	other	ADJ
ejpam-5461	24	15	places	place	NOUN
ejpam-5461	24	16	inspired	inspire	VERB
ejpam-5461	24	17	many	many	ADJ
ejpam-5461	24	18	to	to	PART
ejpam-5461	24	19	carry	carry	VERB
ejpam-5461	24	20	out	out	ADP
ejpam-5461	24	21	study	study	NOUN
ejpam-5461	24	22	in	in	ADP
ejpam-5461	24	23	this	this	DET
ejpam-5461	24	24	field	field	NOUN
ejpam-5461	24	25	.	.	PUNCT
ejpam-5461	25	1	prior	prior	ADV
ejpam-5461	25	2	to	to	ADP
ejpam-5461	25	3	2000	2000	NUM
ejpam-5461	25	4	,	,	PUNCT
ejpam-5461	25	5	there	there	PRON
ejpam-5461	25	6	were	be	VERB
ejpam-5461	25	7	more	more	ADJ
ejpam-5461	25	8	than	than	ADP
ejpam-5461	25	9	30,000	30,000	NUM
ejpam-5461	25	10	publications	publication	NOUN
ejpam-5461	25	11	on	on	ADP
ejpam-5461	25	12	fs	fs	ADP
ejpam-5461	25	13	theory	theory	NOUN
ejpam-5461	25	14	.	.	PUNCT
ejpam-5461	26	1	it	it	PRON
ejpam-5461	26	2	has	have	AUX
ejpam-5461	26	3	expanded	expand	VERB
ejpam-5461	26	4	over	over	ADP
ejpam-5461	26	5	the	the	DET
ejpam-5461	26	6	last	last	ADJ
ejpam-5461	26	7	10	10	NUM
ejpam-5461	26	8	years	year	NOUN
ejpam-5461	26	9	to	to	PART
ejpam-5461	26	10	encompass	encompass	VERB
ejpam-5461	26	11	both	both	PRON
ejpam-5461	26	12	an	an	DET
ejpam-5461	26	13	application	application	NOUN
ejpam-5461	26	14	-	-	PUNCT
ejpam-5461	26	15	focused	focus	VERB
ejpam-5461	26	16	theory	theory	NOUN
ejpam-5461	26	17	and	and	CCONJ
ejpam-5461	26	18	an	an	DET
ejpam-5461	26	19	actual	actual	ADJ
ejpam-5461	26	20	concept	concept	NOUN
ejpam-5461	26	21	.	.	PUNCT
ejpam-5461	27	1	the	the	DET
ejpam-5461	27	2	writers	writer	NOUN
ejpam-5461	27	3	of	of	ADP
ejpam-5461	27	4	[	[	X
ejpam-5461	27	5	62	62	NUM
ejpam-5461	27	6	]	]	PUNCT
ejpam-5461	27	7	concluded	conclude	VERB
ejpam-5461	27	8	after	after	ADP
ejpam-5461	27	9	analyzing	analyze	VERB
ejpam-5461	27	10	fs	fs	ADP
ejpam-5461	27	11	theory	theory	NOUN
ejpam-5461	27	12	that	that	SCONJ
ejpam-5461	27	13	it	it	PRON
ejpam-5461	27	14	may	may	AUX
ejpam-5461	27	15	be	be	AUX
ejpam-5461	27	16	used	use	VERB
ejpam-5461	27	17	to	to	PART
ejpam-5461	27	18	bridge	bridge	VERB
ejpam-5461	27	19	the	the	DET
ejpam-5461	27	20	gap	gap	NOUN
ejpam-5461	27	21	between	between	ADP
ejpam-5461	27	22	formal	formal	ADJ
ejpam-5461	27	23	and	and	CCONJ
ejpam-5461	27	24	natural	natural	ADJ
ejpam-5461	27	25	models	model	NOUN
ejpam-5461	27	26	and	and	CCONJ
ejpam-5461	27	27	explain	explain	VERB
ejpam-5461	27	28	deterministic	deterministic	ADJ
ejpam-5461	27	29	uncertainty	uncertainty	NOUN
ejpam-5461	27	30	.	.	PUNCT
ejpam-5461	28	1	according	accord	VERB
ejpam-5461	28	2	to	to	ADP
ejpam-5461	28	3	the	the	DET
ejpam-5461	28	4	author	author	NOUN
ejpam-5461	28	5	of	of	ADP
ejpam-5461	28	6	this	this	DET
ejpam-5461	28	7	page	page	NOUN
ejpam-5461	28	8	,	,	PUNCT
ejpam-5461	28	9	a	a	DET
ejpam-5461	28	10	fs	fs	NOUN
ejpam-5461	28	11	is	be	AUX
ejpam-5461	28	12	defined	define	VERB
ejpam-5461	28	13	as	as	SCONJ
ejpam-5461	28	14	follows	follow	VERB
ejpam-5461	28	15	:	:	PUNCT
ejpam-5461	28	16	m	m	VERB
ejpam-5461	28	17	=	=	SYM
ejpam-5461	28	18	{	{	PUNCT
ejpam-5461	28	19	(	(	PUNCT
ejpam-5461	28	20	γ	γ	PROPN
ejpam-5461	28	21	,	,	PUNCT
ejpam-5461	28	22	λm	λm	X
ejpam-5461	28	23	(	(	PUNCT
ejpam-5461	28	24	γ	γ	NOUN
ejpam-5461	28	25	)	)	PUNCT
ejpam-5461	28	26	)	)	PUNCT
ejpam-5461	28	27	,	,	PUNCT
ejpam-5461	28	28	γ	γ	PROPN
ejpam-5461	28	29	∈	∈	PROPN
ejpam-5461	28	30	m	m	PRON
ejpam-5461	28	31	}	}	PUNCT
ejpam-5461	28	32	is	be	AUX
ejpam-5461	28	33	the	the	DET
ejpam-5461	28	34	collection	collection	NOUN
ejpam-5461	28	35	of	of	ADP
ejpam-5461	28	36	ordered	order	VERB
ejpam-5461	28	37	pairs	pair	NOUN
ejpam-5461	28	38	and	and	CCONJ
ejpam-5461	28	39	is	be	AUX
ejpam-5461	28	40	denoted	denote	VERB
ejpam-5461	28	41	as	as	ADP
ejpam-5461	28	42	such	such	ADJ
ejpam-5461	28	43	if	if	SCONJ
ejpam-5461	28	44	m	m	PROPN
ejpam-5461	28	45	is	be	AUX
ejpam-5461	28	46	the	the	DET
ejpam-5461	28	47	collection	collection	NOUN
ejpam-5461	28	48	of	of	ADP
ejpam-5461	28	49	objects	object	NOUN
ejpam-5461	28	50	represented	represent	VERB
ejpam-5461	28	51	by	by	ADP
ejpam-5461	28	52	γ	γ	PROPN
ejpam-5461	28	53	.	.	PROPN
ejpam-5461	28	54	in	in	ADP
ejpam-5461	28	55	this	this	DET
ejpam-5461	28	56	case	case	NOUN
ejpam-5461	28	57	,	,	PUNCT
ejpam-5461	28	58	λm	λm	X
ejpam-5461	28	59	(	(	PUNCT
ejpam-5461	28	60	γ	γ	NOUN
ejpam-5461	28	61	)	)	PUNCT
ejpam-5461	28	62	denotes	denote	NOUN
ejpam-5461	28	63	the	the	DET
ejpam-5461	28	64	mv	mv	PROPN
ejpam-5461	28	65	,	,	PUNCT
ejpam-5461	28	66	and	and	CCONJ
ejpam-5461	28	67	0	0	NUM
ejpam-5461	28	68	≤	≤	NUM
ejpam-5461	28	69	λm	λm	X
ejpam-5461	28	70	(	(	PUNCT
ejpam-5461	28	71	γ	γ	NOUN
ejpam-5461	28	72	)	)	PUNCT
ejpam-5461	28	73	≤	≤	NUM
ejpam-5461	28	74	1	1	NUM
ejpam-5461	28	75	.	.	PUNCT
ejpam-5461	29	1	a	a	DET
ejpam-5461	29	2	variable	variable	NOUN
ejpam-5461	29	3	can	can	AUX
ejpam-5461	29	4	be	be	AUX
ejpam-5461	29	5	connected	connect	VERB
ejpam-5461	29	6	to	to	ADP
ejpam-5461	29	7	both	both	DET
ejpam-5461	29	8	the	the	DET
ejpam-5461	29	9	possibility	possibility	NOUN
ejpam-5461	29	10	distribution	distribution	NOUN
ejpam-5461	29	11	and	and	CCONJ
ejpam-5461	29	12	the	the	DET
ejpam-5461	29	13	probability	probability	NOUN
ejpam-5461	29	14	distribution	distribution	NOUN
ejpam-5461	29	15	,	,	PUNCT
ejpam-5461	29	16	according	accord	VERB
ejpam-5461	29	17	to	to	ADP
ejpam-5461	29	18	research	research	NOUN
ejpam-5461	29	19	published	publish	VERB
ejpam-5461	29	20	in	in	ADP
ejpam-5461	29	21	1978	1978	NUM
ejpam-5461	29	22	by	by	ADP
ejpam-5461	29	23	authors	author	NOUN
ejpam-5461	29	24	of	of	ADP
ejpam-5461	29	25	[	[	X
ejpam-5461	29	26	60	60	NUM
ejpam-5461	29	27	]	]	PUNCT
ejpam-5461	29	28	.	.	PUNCT
ejpam-5461	30	1	in	in	ADP
ejpam-5461	30	2	[	[	X
ejpam-5461	30	3	19	19	NUM
ejpam-5461	30	4	]	]	PUNCT
ejpam-5461	30	5	,	,	PUNCT
ejpam-5461	30	6	the	the	DET
ejpam-5461	30	7	relationship	relationship	NOUN
ejpam-5461	30	8	between	between	ADP
ejpam-5461	30	9	the	the	DET
ejpam-5461	30	10	finite	finite	NOUN
ejpam-5461	30	11	valued	value	VERB
ejpam-5461	30	12	fs	fs	PROPN
ejpam-5461	30	13	,	,	PUNCT
ejpam-5461	30	14	the	the	DET
ejpam-5461	30	15	zadeh	zadeh	PROPN
ejpam-5461	30	16	fs	fs	PROPN
ejpam-5461	30	17	and	and	CCONJ
ejpam-5461	30	18	the	the	DET
ejpam-5461	30	19	n	n	ADV
ejpam-5461	30	20	-	-	PUNCT
ejpam-5461	30	21	dimensional	dimensional	ADJ
ejpam-5461	30	22	fs	f	NOUN
ejpam-5461	30	23	is	be	AUX
ejpam-5461	30	24	clarified	clarify	VERB
ejpam-5461	30	25	.	.	PUNCT
ejpam-5461	31	1	the	the	DET
ejpam-5461	31	2	approaches	approach	NOUN
ejpam-5461	31	3	and	and	CCONJ
ejpam-5461	31	4	methods	method	NOUN
ejpam-5461	31	5	of	of	ADP
ejpam-5461	31	6	fg	fg	PROPN
ejpam-5461	31	7	theory	theory	NOUN
ejpam-5461	31	8	were	be	AUX
ejpam-5461	31	9	presented	present	VERB
ejpam-5461	31	10	by	by	ADP
ejpam-5461	31	11	the	the	DET
ejpam-5461	31	12	authors	author	NOUN
ejpam-5461	31	13	of	of	ADP
ejpam-5461	31	14	[	[	X
ejpam-5461	31	15	53	53	NUM
ejpam-5461	31	16	]	]	PUNCT
ejpam-5461	31	17	for	for	ADP
ejpam-5461	31	18	the	the	DET
ejpam-5461	31	19	analysis	analysis	NOUN
ejpam-5461	31	20	of	of	ADP
ejpam-5461	31	21	multi	multi	ADJ
ejpam-5461	31	22	-	-	ADJ
ejpam-5461	31	23	species	species	ADJ
ejpam-5461	31	24	fishing	fishing	NOUN
ejpam-5461	31	25	dynamics	dynamic	NOUN
ejpam-5461	31	26	.	.	PUNCT
ejpam-5461	32	1	the	the	DET
ejpam-5461	32	2	patterns	pattern	NOUN
ejpam-5461	32	3	of	of	ADP
ejpam-5461	32	4	data	datum	NOUN
ejpam-5461	32	5	can	can	AUX
ejpam-5461	32	6	be	be	AUX
ejpam-5461	32	7	obtained	obtain	VERB
ejpam-5461	32	8	by	by	ADP
ejpam-5461	32	9	using	use	VERB
ejpam-5461	32	10	the	the	DET
ejpam-5461	32	11	above	above	ADJ
ejpam-5461	32	12	work	work	NOUN
ejpam-5461	32	13	.	.	PUNCT
ejpam-5461	33	1	fuzzy	fuzzy	ADJ
ejpam-5461	33	2	refers	refer	VERB
ejpam-5461	33	3	to	to	ADP
ejpam-5461	33	4	not	not	PART
ejpam-5461	33	5	being	be	AUX
ejpam-5461	33	6	able	able	ADJ
ejpam-5461	33	7	to	to	PART
ejpam-5461	33	8	hear	hear	VERB
ejpam-5461	33	9	or	or	CCONJ
ejpam-5461	33	10	see	see	VERB
ejpam-5461	33	11	clearly	clearly	ADV
ejpam-5461	33	12	.	.	PUNCT
ejpam-5461	34	1	fgs	fgs	PROPN
ejpam-5461	34	2	are	be	AUX
ejpam-5461	34	3	useful	useful	ADJ
ejpam-5461	34	4	in	in	ADP
ejpam-5461	34	5	modeling	model	VERB
ejpam-5461	34	6	most	most	ADJ
ejpam-5461	34	7	of	of	ADP
ejpam-5461	34	8	the	the	DET
ejpam-5461	34	9	difficulties	difficulty	NOUN
ejpam-5461	34	10	that	that	PRON
ejpam-5461	34	11	arise	arise	VERB
ejpam-5461	34	12	in	in	ADP
ejpam-5461	34	13	our	our	PRON
ejpam-5461	34	14	daily	daily	ADJ
ejpam-5461	34	15	lives	life	NOUN
ejpam-5461	34	16	discussed	discuss	VERB
ejpam-5461	34	17	in	in	ADP
ejpam-5461	34	18	[	[	X
ejpam-5461	34	19	46	46	NUM
ejpam-5461	34	20	]	]	PUNCT
ejpam-5461	34	21	along	along	ADP
ejpam-5461	34	22	with	with	ADP
ejpam-5461	34	23	an	an	DET
ejpam-5461	34	24	introduction	introduction	NOUN
ejpam-5461	34	25	to	to	ADP
ejpam-5461	34	26	some	some	PRON
ejpam-5461	34	27	of	of	ADP
ejpam-5461	34	28	their	their	PRON
ejpam-5461	34	29	characteristics	characteristic	NOUN
ejpam-5461	34	30	.	.	PUNCT
ejpam-5461	35	1	few	few	ADJ
ejpam-5461	35	2	rooted	rooted	ADJ
ejpam-5461	35	3	trees	tree	NOUN
ejpam-5461	35	4	that	that	PRON
ejpam-5461	35	5	encapsulate	encapsulate	VERB
ejpam-5461	35	6	a	a	DET
ejpam-5461	35	7	particular	particular	ADJ
ejpam-5461	35	8	fg	fg	PROPN
ejpam-5461	35	9	,	,	PUNCT
ejpam-5461	35	10	an	an	DET
ejpam-5461	35	11	algorithm	algorithm	NOUN
ejpam-5461	35	12	and	and	CCONJ
ejpam-5461	35	13	complexity	complexity	NOUN
ejpam-5461	35	14	analysis	analysis	NOUN
ejpam-5461	35	15	are	be	AUX
ejpam-5461	35	16	presented	present	VERB
ejpam-5461	35	17	[	[	PUNCT
ejpam-5461	35	18	11	11	NUM
ejpam-5461	35	19	]	]	PUNCT
ejpam-5461	35	20	.	.	PUNCT
ejpam-5461	36	1	in	in	ADP
ejpam-5461	36	2	[	[	X
ejpam-5461	36	3	12	12	NUM
ejpam-5461	36	4	]	]	PUNCT
ejpam-5461	36	5	and	and	CCONJ
ejpam-5461	36	6	[	[	X
ejpam-5461	36	7	14	14	NUM
ejpam-5461	36	8	]	]	PUNCT
ejpam-5461	36	9	discusses	discuss	VERB
ejpam-5461	36	10	fgs	fgs	PROPN
ejpam-5461	36	11	that	that	PRON
ejpam-5461	36	12	account	account	VERB
ejpam-5461	36	13	for	for	ADP
ejpam-5461	36	14	the	the	DET
ejpam-5461	36	15	fuzziness	fuzziness	NOUN
ejpam-5461	36	16	of	of	ADP
ejpam-5461	36	17	vertex	vertex	NOUN
ejpam-5461	36	18	and	and	CCONJ
ejpam-5461	36	19	edge	edge	NOUN
ejpam-5461	36	20	existence	existence	NOUN
ejpam-5461	36	21	,	,	PUNCT
ejpam-5461	36	22	edge	edge	VERB
ejpam-5461	36	23	weight	weight	NOUN
ejpam-5461	36	24	and	and	CCONJ
ejpam-5461	36	25	connectedness	connectedness	NOUN
ejpam-5461	36	26	.	.	PUNCT
ejpam-5461	37	1	the	the	DET
ejpam-5461	37	2	hyper	hyper	ADJ
ejpam-5461	37	3	-	-	ADJ
ejpam-5461	37	4	wiener	wiener	NOUN
ejpam-5461	37	5	index	index	NOUN
ejpam-5461	37	6	’s	’	VERB
ejpam-5461	37	7	associated	associate	VERB
ejpam-5461	37	8	with	with	ADP
ejpam-5461	37	9	various	various	ADJ
ejpam-5461	37	10	of	of	ADP
ejpam-5461	37	11	graph	graph	NOUN
ejpam-5461	37	12	has	have	AUX
ejpam-5461	37	13	been	be	AUX
ejpam-5461	37	14	given	give	VERB
ejpam-5461	37	15	in	in	ADP
ejpam-5461	37	16	[	[	X
ejpam-5461	37	17	29	29	NUM
ejpam-5461	37	18	]	]	PUNCT
ejpam-5461	37	19	.	.	PUNCT
ejpam-5461	38	1	the	the	DET
ejpam-5461	38	2	amazing	amazing	ADJ
ejpam-5461	38	3	notion	notion	NOUN
ejpam-5461	38	4	of	of	ADP
ejpam-5461	38	5	fuzzy	fuzzy	ADJ
ejpam-5461	38	6	cognitive	cognitive	ADJ
ejpam-5461	38	7	map	map	NOUN
ejpam-5461	38	8	structure	structure	NOUN
ejpam-5461	38	9	is	be	AUX
ejpam-5461	38	10	developed	develop	VERB
ejpam-5461	38	11	by	by	ADP
ejpam-5461	38	12	researcher	researcher	NOUN
ejpam-5461	38	13	in	in	ADP
ejpam-5461	38	14	[	[	X
ejpam-5461	38	15	44	44	NUM
ejpam-5461	38	16	]	]	PUNCT
ejpam-5461	38	17	through	through	ADP
ejpam-5461	38	18	establishing	establish	VERB
ejpam-5461	38	19	a	a	DET
ejpam-5461	38	20	concept	concept	NOUN
ejpam-5461	38	21	of	of	ADP
ejpam-5461	38	22	output	output	NOUN
ejpam-5461	38	23	issues	issue	NOUN
ejpam-5461	38	24	and	and	CCONJ
ejpam-5461	38	25	lowering	lower	VERB
ejpam-5461	38	26	the	the	DET
ejpam-5461	38	27	amount	amount	NOUN
ejpam-5461	38	28	of	of	ADP
ejpam-5461	38	29	concepts	concept	NOUN
ejpam-5461	38	30	and	and	CCONJ
ejpam-5461	38	31	connections	connection	NOUN
ejpam-5461	38	32	between	between	ADP
ejpam-5461	38	33	them	they	PRON
ejpam-5461	38	34	.	.	PUNCT
ejpam-5461	39	1	1.2	1.2	NUM
ejpam-5461	39	2	.	.	PUNCT
ejpam-5461	40	1	intuitionistic	intuitionistic	ADJ
ejpam-5461	40	2	fuzzy	fuzzy	ADJ
ejpam-5461	40	3	graphs	graph	NOUN
ejpam-5461	40	4	(	(	PUNCT
ejpam-5461	40	5	ifgs	ifgs	PROPN
ejpam-5461	40	6	)	)	PUNCT
ejpam-5461	40	7	the	the	DET
ejpam-5461	40	8	traditional	traditional	ADJ
ejpam-5461	40	9	fs	fs	INTJ
ejpam-5461	40	10	theory	theory	NOUN
ejpam-5461	40	11	and	and	CCONJ
ejpam-5461	40	12	graphs	graph	NOUN
ejpam-5461	40	13	are	be	AUX
ejpam-5461	40	14	extended	extend	VERB
ejpam-5461	40	15	into	into	ADP
ejpam-5461	40	16	ifss	ifss	NOUN
ejpam-5461	40	17	and	and	CCONJ
ejpam-5461	40	18	ifgs	ifg	VERB
ejpam-5461	40	19	.	.	PUNCT
ejpam-5461	41	1	in	in	ADP
ejpam-5461	41	2	order	order	NOUN
ejpam-5461	41	3	to	to	PART
ejpam-5461	41	4	handle	handle	VERB
ejpam-5461	41	5	circumstances	circumstance	NOUN
ejpam-5461	41	6	like	like	ADP
ejpam-5461	41	7	ambiguity	ambiguity	NOUN
ejpam-5461	41	8	and	and	CCONJ
ejpam-5461	41	9	hesitation	hesitation	NOUN
ejpam-5461	41	10	as	as	ADV
ejpam-5461	41	11	well	well	ADV
ejpam-5461	41	12	as	as	ADP
ejpam-5461	41	13	the	the	DET
ejpam-5461	41	14	need	need	NOUN
ejpam-5461	41	15	for	for	ADP
ejpam-5461	41	16	a	a	DET
ejpam-5461	41	17	more	more	ADV
ejpam-5461	41	18	accommodating	accommodating	ADJ
ejpam-5461	41	19	model	model	NOUN
ejpam-5461	41	20	of	of	ADP
ejpam-5461	41	21	the	the	DET
ejpam-5461	41	22	degree	degree	NOUN
ejpam-5461	41	23	of	of	ADP
ejpam-5461	41	24	mv	mv	PROPN
ejpam-5461	41	25	,	,	PUNCT
ejpam-5461	41	26	non	non	ADJ
ejpam-5461	41	27	-	-	ADJ
ejpam-5461	41	28	membership	membership	ADJ
ejpam-5461	41	29	value	value	NOUN
ejpam-5461	41	30	(	(	PUNCT
ejpam-5461	41	31	nmv	nmv	NOUN
ejpam-5461	41	32	)	)	PUNCT
ejpam-5461	41	33	and	and	CCONJ
ejpam-5461	41	34	reluctance	reluctance	NOUN
ejpam-5461	41	35	,	,	PUNCT
ejpam-5461	41	36	atanassov	atanassov	NOUN
ejpam-5461	41	37	originally	originally	ADV
ejpam-5461	41	38	proposed	propose	VERB
ejpam-5461	41	39	them	they	PRON
ejpam-5461	41	40	in	in	ADP
ejpam-5461	41	41	the	the	DET
ejpam-5461	41	42	1980s	1980s	NUM
ejpam-5461	41	43	.	.	PUNCT
ejpam-5461	42	1	developing	develop	VERB
ejpam-5461	42	2	an	an	DET
ejpam-5461	42	3	uncertain	uncertain	ADJ
ejpam-5461	42	4	model	model	NOUN
ejpam-5461	42	5	:	:	PUNCT
ejpam-5461	42	6	ifss	ifss	NOUN
ejpam-5461	42	7	allow	allow	VERB
ejpam-5461	42	8	for	for	ADP
ejpam-5461	42	9	a	a	DET
ejpam-5461	42	10	more	more	ADV
ejpam-5461	42	11	complex	complex	ADJ
ejpam-5461	42	12	depiction	depiction	NOUN
ejpam-5461	42	13	of	of	ADP
ejpam-5461	42	14	uncertainty	uncertainty	NOUN
ejpam-5461	42	15	by	by	ADP
ejpam-5461	42	16	incorporating	incorporate	VERB
ejpam-5461	42	17	the	the	DET
ejpam-5461	42	18	concept	concept	NOUN
ejpam-5461	42	19	of	of	ADP
ejpam-5461	42	20	resistance	resistance	NOUN
ejpam-5461	42	21	.	.	PUNCT
ejpam-5461	43	1	to	to	PART
ejpam-5461	43	2	better	well	ADV
ejpam-5461	43	3	reflect	reflect	VERB
ejpam-5461	43	4	confusing	confusing	ADJ
ejpam-5461	43	5	or	or	CCONJ
ejpam-5461	43	6	poorly	poorly	ADV
ejpam-5461	43	7	understood	understand	VERB
ejpam-5461	43	8	information	information	NOUN
ejpam-5461	43	9	,	,	PUNCT
ejpam-5461	43	10	ifs	ifs	PROPN
ejpam-5461	43	11	adds	add	VERB
ejpam-5461	43	12	nmv	nmv	NOUN
ejpam-5461	43	13	and	and	CCONJ
ejpam-5461	43	14	objects	object	VERB
ejpam-5461	43	15	membership	membership	NOUN
ejpam-5461	43	16	to	to	ADP
ejpam-5461	43	17	mvs	mvs	PROPN
ejpam-5461	44	1	[	[	X
ejpam-5461	44	2	37	37	NUM
ejpam-5461	44	3	]	]	PUNCT
ejpam-5461	44	4	.	.	PUNCT
ejpam-5461	45	1	making	make	VERB
ejpam-5461	45	2	decisions	decision	NOUN
ejpam-5461	45	3	in	in	ADP
ejpam-5461	45	4	ambiguous	ambiguous	ADJ
ejpam-5461	45	5	circumstances	circumstance	NOUN
ejpam-5461	45	6	:	:	PUNCT
ejpam-5461	45	7	ifss	ifss	NOUN
ejpam-5461	45	8	provide	provide	VERB
ejpam-5461	45	9	a	a	DET
ejpam-5461	45	10	framework	framework	NOUN
ejpam-5461	45	11	for	for	ADP
ejpam-5461	45	12	decision	decision	NOUN
ejpam-5461	45	13	-	-	PUNCT
ejpam-5461	45	14	making	making	NOUN
ejpam-5461	45	15	in	in	ADP
ejpam-5461	45	16	ambiguous	ambiguous	ADJ
ejpam-5461	45	17	circumstances	circumstance	NOUN
ejpam-5461	46	1	[	[	X
ejpam-5461	46	2	[	[	X
ejpam-5461	46	3	54	54	NUM
ejpam-5461	46	4	]	]	PUNCT
ejpam-5461	46	5	,	,	PUNCT
ejpam-5461	46	6	[	[	X
ejpam-5461	46	7	55	55	NUM
ejpam-5461	46	8	]	]	X
ejpam-5461	46	9	]	]	PUNCT
ejpam-5461	46	10	.	.	PUNCT
ejpam-5461	47	1	making	make	VERB
ejpam-5461	47	2	decisions	decision	NOUN
ejpam-5461	47	3	based	base	VERB
ejpam-5461	47	4	on	on	ADP
ejpam-5461	47	5	both	both	CCONJ
ejpam-5461	47	6	mv	mv	PROPN
ejpam-5461	47	7	and	and	CCONJ
ejpam-5461	47	8	nmv	nmv	PROPN
ejpam-5461	47	9	helps	help	VERB
ejpam-5461	47	10	decision	decision	NOUN
ejpam-5461	47	11	-	-	PUNCT
ejpam-5461	47	12	makers	maker	NOUN
ejpam-5461	47	13	assess	assess	VERB
ejpam-5461	47	14	the	the	DET
ejpam-5461	47	15	level	level	NOUN
ejpam-5461	47	16	of	of	ADP
ejpam-5461	47	17	resistance	resistance	NOUN
ejpam-5461	47	18	associated	associate	VERB
ejpam-5461	47	19	with	with	ADP
ejpam-5461	47	20	various	various	ADJ
ejpam-5461	47	21	choices	choice	NOUN
ejpam-5461	47	22	and	and	CCONJ
ejpam-5461	47	23	reach	reach	VERB
ejpam-5461	47	24	more	more	ADV
ejpam-5461	47	25	precise	precise	ADJ
ejpam-5461	47	26	conclusions	conclusion	NOUN
ejpam-5461	47	27	.	.	PUNCT
ejpam-5461	48	1	handling	handle	VERB
ejpam-5461	48	2	ambiguous	ambiguous	ADJ
ejpam-5461	48	3	and	and	CCONJ
ejpam-5461	48	4	precise	precise	ADJ
ejpam-5461	48	5	data	datum	NOUN
ejpam-5461	48	6	:	:	PUNCT
ejpam-5461	48	7	graphs	graph	NOUN
ejpam-5461	48	8	and	and	CCONJ
ejpam-5461	48	9	ifss	ifss	NOUN
ejpam-5461	48	10	can	can	AUX
ejpam-5461	48	11	be	be	AUX
ejpam-5461	48	12	useful	useful	ADJ
ejpam-5461	48	13	in	in	ADP
ejpam-5461	48	14	modelling	model	VERB
ejpam-5461	48	15	ambiguous	ambiguous	ADJ
ejpam-5461	48	16	or	or	CCONJ
ejpam-5461	48	17	imprecise	imprecise	ADJ
ejpam-5461	48	18	data	datum	NOUN
ejpam-5461	48	19	.	.	PUNCT
ejpam-5461	49	1	by	by	ADP
ejpam-5461	49	2	addressing	address	VERB
ejpam-5461	49	3	both	both	CCONJ
ejpam-5461	49	4	the	the	DET
ejpam-5461	49	5	degree	degree	NOUN
ejpam-5461	49	6	of	of	ADP
ejpam-5461	49	7	mv	mv	PROPN
ejpam-5461	49	8	and	and	CCONJ
ejpam-5461	49	9	the	the	DET
ejpam-5461	49	10	degree	degree	NOUN
ejpam-5461	49	11	of	of	ADP
ejpam-5461	49	12	ambiguity	ambiguity	NOUN
ejpam-5461	49	13	or	or	CCONJ
ejpam-5461	49	14	uncertainty	uncertainty	NOUN
ejpam-5461	49	15	associated	associate	VERB
ejpam-5461	49	16	with	with	ADP
ejpam-5461	49	17	the	the	DET
ejpam-5461	49	18	details	detail	NOUN
ejpam-5461	49	19	,	,	PUNCT
ejpam-5461	49	20	they	they	PRON
ejpam-5461	49	21	increase	increase	VERB
ejpam-5461	49	22	the	the	DET
ejpam-5461	49	23	flexibility	flexibility	NOUN
ejpam-5461	49	24	of	of	ADP
ejpam-5461	49	25	information	information	NOUN
ejpam-5461	49	26	characterisation	characterisation	NOUN
ejpam-5461	49	27	[	[	X
ejpam-5461	49	28	[	[	X
ejpam-5461	49	29	32	32	NUM
ejpam-5461	49	30	]	]	PUNCT
ejpam-5461	49	31	,	,	PUNCT
ejpam-5461	49	32	[	[	X
ejpam-5461	49	33	36	36	NUM
ejpam-5461	49	34	]	]	X
ejpam-5461	49	35	]	]	PUNCT
ejpam-5461	49	36	.	.	PUNCT
ejpam-5461	50	1	formal	formal	ADJ
ejpam-5461	50	2	methodologies	methodology	NOUN
ejpam-5461	50	3	and	and	CCONJ
ejpam-5461	50	4	procedures	procedure	NOUN
ejpam-5461	50	5	for	for	ADP
ejpam-5461	50	6	the	the	DET
ejpam-5461	50	7	research	research	NOUN
ejpam-5461	50	8	and	and	CCONJ
ejpam-5461	50	9	implementation	implementation	NOUN
ejpam-5461	50	10	of	of	ADP
ejpam-5461	50	11	ifss	ifss	NOUN
ejpam-5461	50	12	and	and	CCONJ
ejpam-5461	50	13	ifgs	ifgs	NOUN
ejpam-5461	50	14	are	be	AUX
ejpam-5461	50	15	made	make	VERB
ejpam-5461	50	16	possible	possible	ADJ
ejpam-5461	50	17	by	by	ADP
ejpam-5461	50	18	the	the	DET
ejpam-5461	50	19	robust	robust	ADJ
ejpam-5461	50	20	mathematical	mathematical	ADJ
ejpam-5461	50	21	underpinnings	underpinning	NOUN
ejpam-5461	50	22	of	of	ADP
ejpam-5461	50	23	the	the	DET
ejpam-5461	50	24	intum	intum	NOUN
ejpam-5461	50	25	.	.	PUNCT
ejpam-5461	51	1	alqahtani	alqahtani	PROPN
ejpam-5461	51	2	,	,	PUNCT
ejpam-5461	51	3	m.	m.	NOUN
ejpam-5461	51	4	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	51	5	,	,	PUNCT
ejpam-5461	51	6	m.	m.	NOUN
ejpam-5461	51	7	rajeshwari	rajeshwari	PROPN
ejpam-5461	51	8	/	/	SYM
ejpam-5461	51	9	eur	eur	PROPN
ejpam-5461	51	10	.	.	PUNCT
ejpam-5461	52	1	j.	j.	PROPN
ejpam-5461	52	2	pure	pure	PROPN
ejpam-5461	52	3	appl	appl	PROPN
ejpam-5461	52	4	.	.	PROPN
ejpam-5461	52	5	math	math	PROPN
ejpam-5461	52	6	,	,	PUNCT
ejpam-5461	52	7	17	17	NUM
ejpam-5461	52	8	(	(	PUNCT
ejpam-5461	52	9	4	4	NUM
ejpam-5461	52	10	)	)	PUNCT
ejpam-5461	52	11	(	(	PUNCT
ejpam-5461	52	12	2024	2024	NUM
ejpam-5461	52	13	)	)	PUNCT
ejpam-5461	52	14	,	,	PUNCT
ejpam-5461	52	15	2586	2586	NUM
ejpam-5461	52	16	-	-	SYM
ejpam-5461	52	17	2620	2620	NUM
ejpam-5461	52	18	2588	2588	NUM
ejpam-5461	52	19	itionistic	itionistic	ADJ
ejpam-5461	52	20	fuzzy	fuzzy	ADJ
ejpam-5461	52	21	objects	object	NOUN
ejpam-5461	52	22	.	.	PUNCT
ejpam-5461	53	1	for	for	ADP
ejpam-5461	53	2	use	use	NOUN
ejpam-5461	53	3	with	with	ADP
ejpam-5461	53	4	ifss	ifss	NOUN
ejpam-5461	53	5	and	and	CCONJ
ejpam-5461	53	6	graphs	graph	NOUN
ejpam-5461	53	7	,	,	PUNCT
ejpam-5461	53	8	a	a	DET
ejpam-5461	53	9	wide	wide	ADJ
ejpam-5461	53	10	range	range	NOUN
ejpam-5461	53	11	of	of	ADP
ejpam-5461	53	12	operations	operation	NOUN
ejpam-5461	53	13	,	,	PUNCT
ejpam-5461	53	14	aggregation	aggregation	NOUN
ejpam-5461	53	15	techniques	technique	NOUN
ejpam-5461	53	16	and	and	CCONJ
ejpam-5461	53	17	algorithms	algorithm	NOUN
ejpam-5461	53	18	have	have	AUX
ejpam-5461	53	19	been	be	AUX
ejpam-5461	53	20	created	create	VERB
ejpam-5461	53	21	.	.	PUNCT
ejpam-5461	54	1	applications	application	NOUN
ejpam-5461	54	2	encompass	encompass	VERB
ejpam-5461	54	3	networking	networking	NOUN
ejpam-5461	54	4	,	,	PUNCT
ejpam-5461	54	5	control	control	NOUN
ejpam-5461	54	6	systems	system	NOUN
ejpam-5461	54	7	,	,	PUNCT
ejpam-5461	54	8	image	image	NOUN
ejpam-5461	54	9	recognition	recognition	NOUN
ejpam-5461	54	10	,	,	PUNCT
ejpam-5461	54	11	clustering	clustering	NOUN
ejpam-5461	54	12	,	,	PUNCT
ejpam-5461	54	13	and	and	CCONJ
ejpam-5461	54	14	decision	decision	NOUN
ejpam-5461	54	15	-	-	PUNCT
ejpam-5461	54	16	making	making	NOUN
ejpam-5461	54	17	.	.	PUNCT
ejpam-5461	55	1	fuzzy	fuzzy	ADJ
ejpam-5461	55	2	sets	set	NOUN
ejpam-5461	55	3	and	and	CCONJ
ejpam-5461	55	4	graphs	graph	NOUN
ejpam-5461	55	5	with	with	ADP
ejpam-5461	55	6	intuitive	intuitive	ADJ
ejpam-5461	55	7	properties	property	NOUN
ejpam-5461	55	8	are	be	AUX
ejpam-5461	55	9	employed	employ	VERB
ejpam-5461	55	10	in	in	ADP
ejpam-5461	55	11	these	these	DET
ejpam-5461	55	12	and	and	CCONJ
ejpam-5461	55	13	other	other	ADJ
ejpam-5461	55	14	domains	domain	NOUN
ejpam-5461	55	15	.	.	PUNCT
ejpam-5461	56	1	it	it	PRON
ejpam-5461	56	2	has	have	AUX
ejpam-5461	56	3	been	be	AUX
ejpam-5461	56	4	demonstrated	demonstrate	VERB
ejpam-5461	56	5	that	that	SCONJ
ejpam-5461	56	6	they	they	PRON
ejpam-5461	56	7	increase	increase	VERB
ejpam-5461	56	8	the	the	DET
ejpam-5461	56	9	precision	precision	NOUN
ejpam-5461	56	10	and	and	CCONJ
ejpam-5461	56	11	efficacy	efficacy	NOUN
ejpam-5461	56	12	of	of	ADP
ejpam-5461	56	13	decision	decision	NOUN
ejpam-5461	56	14	-	-	PUNCT
ejpam-5461	56	15	making	make	VERB
ejpam-5461	56	16	processes	process	NOUN
ejpam-5461	56	17	and	and	CCONJ
ejpam-5461	56	18	offer	offer	VERB
ejpam-5461	56	19	a	a	DET
ejpam-5461	56	20	helpful	helpful	ADJ
ejpam-5461	56	21	toolkit	toolkit	NOUN
ejpam-5461	56	22	for	for	ADP
ejpam-5461	56	23	handling	handle	VERB
ejpam-5461	56	24	ambiguous	ambiguous	ADJ
ejpam-5461	56	25	or	or	CCONJ
ejpam-5461	56	26	incomplete	incomplete	ADJ
ejpam-5461	56	27	data	datum	NOUN
ejpam-5461	56	28	in	in	ADP
ejpam-5461	56	29	a	a	DET
ejpam-5461	56	30	variety	variety	NOUN
ejpam-5461	56	31	of	of	ADP
ejpam-5461	56	32	sectors	sector	NOUN
ejpam-5461	56	33	.	.	PUNCT
ejpam-5461	57	1	thus	thus	ADV
ejpam-5461	57	2	,	,	PUNCT
ejpam-5461	57	3	by	by	ADP
ejpam-5461	57	4	adding	add	VERB
ejpam-5461	57	5	the	the	DET
ejpam-5461	57	6	concept	concept	NOUN
ejpam-5461	57	7	of	of	ADP
ejpam-5461	57	8	hesitation	hesitation	NOUN
ejpam-5461	57	9	or	or	CCONJ
ejpam-5461	57	10	indeterminacy	indeterminacy	NOUN
ejpam-5461	57	11	,	,	PUNCT
ejpam-5461	57	12	ifss	ifss	ADJ
ejpam-5461	57	13	and	and	CCONJ
ejpam-5461	57	14	ifgs	ifg	VERB
ejpam-5461	57	15	enhance	enhance	PROPN
ejpam-5461	57	16	conventional	conventional	ADJ
ejpam-5461	57	17	fs	fs	ADP
ejpam-5461	57	18	theory	theory	NOUN
ejpam-5461	57	19	and	and	CCONJ
ejpam-5461	57	20	graphs	graph	NOUN
ejpam-5461	57	21	.	.	PUNCT
ejpam-5461	58	1	for	for	ADP
ejpam-5461	58	2	managing	manage	VERB
ejpam-5461	58	3	ambiguity	ambiguity	NOUN
ejpam-5461	58	4	and	and	CCONJ
ejpam-5461	58	5	incomplete	incomplete	ADJ
ejpam-5461	58	6	information	information	NOUN
ejpam-5461	58	7	,	,	PUNCT
ejpam-5461	58	8	they	they	PRON
ejpam-5461	58	9	offer	offer	VERB
ejpam-5461	58	10	a	a	DET
ejpam-5461	58	11	more	more	ADV
ejpam-5461	58	12	sophisticated	sophisticated	ADJ
ejpam-5461	58	13	framework	framework	NOUN
ejpam-5461	58	14	that	that	PRON
ejpam-5461	58	15	facilitates	facilitate	VERB
ejpam-5461	58	16	more	more	ADV
ejpam-5461	58	17	precise	precise	ADJ
ejpam-5461	58	18	analysis	analysis	NOUN
ejpam-5461	58	19	and	and	CCONJ
ejpam-5461	58	20	taking	take	VERB
ejpam-5461	58	21	decisions	decision	NOUN
ejpam-5461	58	22	in	in	ADP
ejpam-5461	58	23	a	a	DET
ejpam-5461	58	24	variety	variety	NOUN
ejpam-5461	58	25	of	of	ADP
ejpam-5461	58	26	domains	domain	NOUN
ejpam-5461	58	27	[	[	X
ejpam-5461	58	28	8	8	NUM
ejpam-5461	58	29	]	]	PUNCT
ejpam-5461	58	30	.	.	PUNCT
ejpam-5461	59	1	the	the	DET
ejpam-5461	59	2	phrase	phrase	NOUN
ejpam-5461	59	3	strong	strong	ADJ
ejpam-5461	59	4	ifg	ifg	NOUN
ejpam-5461	59	5	graph	graph	NOUN
ejpam-5461	59	6	is	be	AUX
ejpam-5461	59	7	used	use	VERB
ejpam-5461	59	8	by	by	ADP
ejpam-5461	59	9	the	the	DET
ejpam-5461	59	10	authors	author	NOUN
ejpam-5461	59	11	in	in	ADP
ejpam-5461	59	12	[	[	X
ejpam-5461	59	13	3	3	NUM
ejpam-5461	59	14	]	]	PUNCT
ejpam-5461	59	15	,	,	PUNCT
ejpam-5461	59	16	who	who	PRON
ejpam-5461	59	17	also	also	ADV
ejpam-5461	59	18	discuss	discuss	VERB
ejpam-5461	59	19	various	various	ADJ
ejpam-5461	59	20	postulations	postulation	NOUN
ejpam-5461	59	21	about	about	ADP
ejpam-5461	59	22	line	line	NOUN
ejpam-5461	59	23	graphs	graph	NOUN
ejpam-5461	59	24	and	and	CCONJ
ejpam-5461	59	25	self	self	NOUN
ejpam-5461	59	26	-	-	PUNCT
ejpam-5461	59	27	complimentary	complimentary	NOUN
ejpam-5461	59	28	.	.	PUNCT
ejpam-5461	60	1	the	the	DET
ejpam-5461	60	2	scientists	scientist	NOUN
ejpam-5461	60	3	in	in	ADP
ejpam-5461	60	4	[	[	X
ejpam-5461	60	5	42	42	NUM
ejpam-5461	60	6	]	]	PUNCT
ejpam-5461	60	7	looked	look	VERB
ejpam-5461	60	8	at	at	ADP
ejpam-5461	60	9	ifg	ifg	NOUN
ejpam-5461	60	10	elements	element	NOUN
ejpam-5461	60	11	and	and	CCONJ
ejpam-5461	60	12	used	use	VERB
ejpam-5461	60	13	these	these	DET
ejpam-5461	60	14	concepts	concept	NOUN
ejpam-5461	60	15	to	to	PART
ejpam-5461	60	16	look	look	VERB
ejpam-5461	60	17	at	at	ADP
ejpam-5461	60	18	other	other	ADJ
ejpam-5461	60	19	kinds	kind	NOUN
ejpam-5461	60	20	of	of	ADP
ejpam-5461	60	21	ifg	ifg	NOUN
ejpam-5461	60	22	elements	element	NOUN
ejpam-5461	60	23	.	.	PUNCT
ejpam-5461	61	1	in	in	ADP
ejpam-5461	61	2	[	[	X
ejpam-5461	61	3	41	41	NUM
ejpam-5461	61	4	]	]	PUNCT
ejpam-5461	61	5	discusses	discuss	VERB
ejpam-5461	61	6	an	an	DET
ejpam-5461	61	7	enhanced	enhanced	ADJ
ejpam-5461	61	8	technique	technique	NOUN
ejpam-5461	61	9	for	for	ADP
ejpam-5461	61	10	identifying	identify	VERB
ejpam-5461	61	11	dominant	dominant	ADJ
ejpam-5461	61	12	vertex	vertex	NOUN
ejpam-5461	61	13	set	set	NOUN
ejpam-5461	61	14	ifgs	ifg	VERB
ejpam-5461	61	15	.	.	PUNCT
ejpam-5461	62	1	ifg	ifg	PROPN
ejpam-5461	62	2	theory	theory	NOUN
ejpam-5461	62	3	is	be	AUX
ejpam-5461	62	4	used	use	VERB
ejpam-5461	62	5	to	to	PART
ejpam-5461	62	6	explain	explain	VERB
ejpam-5461	62	7	and	and	CCONJ
ejpam-5461	62	8	evaluate	evaluate	VERB
ejpam-5461	62	9	the	the	DET
ejpam-5461	62	10	connectivity	connectivity	NOUN
ejpam-5461	62	11	of	of	ADP
ejpam-5461	62	12	uncertain	uncertain	ADJ
ejpam-5461	62	13	networks	network	NOUN
ejpam-5461	62	14	;	;	PUNCT
ejpam-5461	62	15	in	in	ADP
ejpam-5461	62	16	addition	addition	NOUN
ejpam-5461	62	17	,	,	PUNCT
ejpam-5461	62	18	[	[	X
ejpam-5461	62	19	10	10	NUM
ejpam-5461	62	20	]	]	X
ejpam-5461	62	21	looks	look	VERB
ejpam-5461	62	22	at	at	ADP
ejpam-5461	62	23	the	the	DET
ejpam-5461	62	24	vertex	vertex	NOUN
ejpam-5461	62	25	connectivity	connectivity	NOUN
ejpam-5461	62	26	inside	inside	ADP
ejpam-5461	62	27	an	an	DET
ejpam-5461	62	28	ifg	ifg	NOUN
ejpam-5461	62	29	.	.	PUNCT
ejpam-5461	63	1	in	in	ADP
ejpam-5461	63	2	[	[	X
ejpam-5461	63	3	49	49	NUM
ejpam-5461	63	4	]	]	PUNCT
ejpam-5461	63	5	,	,	PUNCT
ejpam-5461	63	6	various	various	ADJ
ejpam-5461	63	7	product	product	NOUN
ejpam-5461	63	8	operations	operation	NOUN
ejpam-5461	63	9	are	be	AUX
ejpam-5461	63	10	defined	define	VERB
ejpam-5461	63	11	on	on	ADP
ejpam-5461	63	12	ifg	ifg	NOUN
ejpam-5461	63	13	and	and	CCONJ
ejpam-5461	63	14	some	some	DET
ejpam-5461	63	15	key	key	ADJ
ejpam-5461	63	16	concepts	concept	NOUN
ejpam-5461	63	17	are	be	AUX
ejpam-5461	63	18	illustrated	illustrate	VERB
ejpam-5461	63	19	on	on	ADP
ejpam-5461	63	20	these	these	DET
ejpam-5461	63	21	graphs	graph	NOUN
ejpam-5461	63	22	.	.	PUNCT
ejpam-5461	64	1	in	in	ADP
ejpam-5461	64	2	[	[	X
ejpam-5461	64	3	45	45	NUM
ejpam-5461	64	4	]	]	PUNCT
ejpam-5461	64	5	,	,	PUNCT
ejpam-5461	64	6	the	the	DET
ejpam-5461	64	7	fuzzy	fuzzy	ADJ
ejpam-5461	64	8	graph	graph	NOUN
ejpam-5461	64	9	energy	energy	NOUN
ejpam-5461	64	10	idea	idea	NOUN
ejpam-5461	64	11	is	be	AUX
ejpam-5461	64	12	expanded	expand	VERB
ejpam-5461	64	13	to	to	PART
ejpam-5461	64	14	include	include	VERB
ejpam-5461	64	15	ifg	ifg	NOUN
ejpam-5461	64	16	.	.	PUNCT
ejpam-5461	65	1	the	the	DET
ejpam-5461	65	2	clustering	clustering	NOUN
ejpam-5461	65	3	of	of	ADP
ejpam-5461	65	4	fuzzy	fuzzy	ADJ
ejpam-5461	65	5	and	and	CCONJ
ejpam-5461	65	6	ifg	ifg	NOUN
ejpam-5461	65	7	vertices	vertex	NOUN
ejpam-5461	65	8	is	be	AUX
ejpam-5461	65	9	the	the	DET
ejpam-5461	65	10	topic	topic	NOUN
ejpam-5461	65	11	of	of	ADP
ejpam-5461	65	12	the	the	DET
ejpam-5461	65	13	essay	essay	NOUN
ejpam-5461	65	14	[	[	X
ejpam-5461	65	15	34	34	NUM
ejpam-5461	65	16	]	]	PUNCT
ejpam-5461	65	17	.	.	PUNCT
ejpam-5461	66	1	the	the	DET
ejpam-5461	66	2	same	same	ADJ
ejpam-5461	66	3	page	page	NOUN
ejpam-5461	66	4	also	also	ADV
ejpam-5461	66	5	introduces	introduce	VERB
ejpam-5461	66	6	a	a	DET
ejpam-5461	66	7	few	few	ADJ
ejpam-5461	66	8	ifg	ifg	NOUN
ejpam-5461	66	9	-	-	PUNCT
ejpam-5461	66	10	related	relate	VERB
ejpam-5461	66	11	parameters	parameter	NOUN
ejpam-5461	66	12	.	.	PUNCT
ejpam-5461	67	1	one	one	PRON
ejpam-5461	67	2	can	can	AUX
ejpam-5461	67	3	analyze	analyze	VERB
ejpam-5461	67	4	[	[	X
ejpam-5461	67	5	48	48	NUM
ejpam-5461	67	6	]	]	PUNCT
ejpam-5461	67	7	to	to	PART
ejpam-5461	67	8	get	get	VERB
ejpam-5461	67	9	a	a	DET
ejpam-5461	67	10	sense	sense	NOUN
ejpam-5461	67	11	of	of	ADP
ejpam-5461	67	12	how	how	SCONJ
ejpam-5461	67	13	connected	connected	ADJ
ejpam-5461	67	14	ifg	ifg	NOUN
ejpam-5461	67	15	is	be	AUX
ejpam-5461	67	16	.	.	PUNCT
ejpam-5461	68	1	one	one	PRON
ejpam-5461	68	2	can	can	AUX
ejpam-5461	68	3	review	review	VERB
ejpam-5461	68	4	[	[	X
ejpam-5461	68	5	16	16	NUM
ejpam-5461	68	6	]	]	PUNCT
ejpam-5461	68	7	in	in	ADP
ejpam-5461	68	8	order	order	NOUN
ejpam-5461	68	9	to	to	PART
ejpam-5461	68	10	analyze	analyze	VERB
ejpam-5461	68	11	index	index	NOUN
ejpam-5461	68	12	concurrently	concurrently	ADV
ejpam-5461	68	13	with	with	ADP
ejpam-5461	68	14	connection	connection	NOUN
ejpam-5461	68	15	index	index	NOUN
ejpam-5461	68	16	.	.	PUNCT
ejpam-5461	69	1	an	an	DET
ejpam-5461	69	2	intuitionistic	intuitionistic	ADJ
ejpam-5461	69	3	fuzzy	fuzzy	ADJ
ejpam-5461	69	4	model	model	NOUN
ejpam-5461	69	5	has	have	AUX
ejpam-5461	69	6	been	be	AUX
ejpam-5461	69	7	used	use	VERB
ejpam-5461	69	8	to	to	PART
ejpam-5461	69	9	analyze	analyze	VERB
ejpam-5461	69	10	and	and	CCONJ
ejpam-5461	69	11	make	make	VERB
ejpam-5461	69	12	decisions	decision	NOUN
ejpam-5461	69	13	for	for	ADP
ejpam-5461	69	14	several	several	ADJ
ejpam-5461	69	15	individuals	individual	NOUN
ejpam-5461	69	16	based	base	VERB
ejpam-5461	69	17	on	on	ADP
ejpam-5461	69	18	multiple	multiple	ADJ
ejpam-5461	69	19	factors	factor	NOUN
ejpam-5461	69	20	.	.	PUNCT
ejpam-5461	70	1	the	the	DET
ejpam-5461	70	2	two	two	NUM
ejpam-5461	70	3	main	main	ADJ
ejpam-5461	70	4	pieces	piece	NOUN
ejpam-5461	70	5	of	of	ADP
ejpam-5461	70	6	information	information	NOUN
ejpam-5461	70	7	employed	employ	VERB
ejpam-5461	70	8	in	in	ADP
ejpam-5461	70	9	[	[	X
ejpam-5461	70	10	7	7	NUM
ejpam-5461	70	11	]	]	PUNCT
ejpam-5461	70	12	are	be	AUX
ejpam-5461	70	13	the	the	DET
ejpam-5461	70	14	expert	expert	ADJ
ejpam-5461	70	15	dependability	dependability	NOUN
ejpam-5461	70	16	ratings	rating	NOUN
ejpam-5461	70	17	and	and	CCONJ
ejpam-5461	70	18	the	the	DET
ejpam-5461	70	19	assessments	assessment	NOUN
ejpam-5461	70	20	of	of	ADP
ejpam-5461	70	21	their	their	PRON
ejpam-5461	70	22	methods	method	NOUN
ejpam-5461	70	23	.	.	PUNCT
ejpam-5461	71	1	in	in	ADP
ejpam-5461	71	2	[	[	X
ejpam-5461	71	3	30	30	NUM
ejpam-5461	71	4	]	]	PUNCT
ejpam-5461	71	5	,	,	PUNCT
ejpam-5461	71	6	scientists	scientist	NOUN
ejpam-5461	71	7	computed	compute	VERB
ejpam-5461	71	8	the	the	DET
ejpam-5461	71	9	third	third	ADJ
ejpam-5461	71	10	and	and	CCONJ
ejpam-5461	71	11	fourth	fourth	ADJ
ejpam-5461	71	12	iterations	iteration	NOUN
ejpam-5461	71	13	of	of	ADP
ejpam-5461	71	14	the	the	DET
ejpam-5461	71	15	soi	soi	NOUN
ejpam-5461	71	16	for	for	ADP
ejpam-5461	71	17	various	various	ADJ
ejpam-5461	71	18	graph	graph	NOUN
ejpam-5461	71	19	families	family	NOUN
ejpam-5461	71	20	inside	inside	ADP
ejpam-5461	71	21	an	an	DET
ejpam-5461	71	22	ifg	ifg	NOUN
ejpam-5461	71	23	setting	set	VERB
ejpam-5461	71	24	.	.	PUNCT
ejpam-5461	72	1	they	they	PRON
ejpam-5461	72	2	then	then	ADV
ejpam-5461	72	3	provided	provide	VERB
ejpam-5461	72	4	an	an	DET
ejpam-5461	72	5	application	application	NOUN
ejpam-5461	72	6	that	that	PRON
ejpam-5461	72	7	makes	make	VERB
ejpam-5461	72	8	use	use	NOUN
ejpam-5461	72	9	of	of	ADP
ejpam-5461	72	10	these	these	DET
ejpam-5461	72	11	indices	index	NOUN
ejpam-5461	72	12	to	to	PART
ejpam-5461	72	13	enhance	enhance	VERB
ejpam-5461	72	14	the	the	DET
ejpam-5461	72	15	efficiency	efficiency	NOUN
ejpam-5461	72	16	of	of	ADP
ejpam-5461	72	17	immunization	immunization	NOUN
ejpam-5461	72	18	facilities	facility	NOUN
ejpam-5461	72	19	.	.	PUNCT
ejpam-5461	73	1	the	the	DET
ejpam-5461	73	2	kinds	kind	NOUN
ejpam-5461	73	3	of	of	ADP
ejpam-5461	73	4	intuitionistic	intuitionistic	ADJ
ejpam-5461	73	5	fuzzy	fuzzy	ADJ
ejpam-5461	73	6	rough	rough	ADJ
ejpam-5461	73	7	graphs	graph	NOUN
ejpam-5461	73	8	are	be	AUX
ejpam-5461	73	9	specified	specify	VERB
ejpam-5461	73	10	in	in	ADP
ejpam-5461	73	11	[	[	X
ejpam-5461	73	12	61	61	NUM
ejpam-5461	73	13	]	]	PUNCT
ejpam-5461	73	14	.	.	PUNCT
ejpam-5461	74	1	nodes	node	NOUN
ejpam-5461	74	2	and	and	CCONJ
ejpam-5461	74	3	links	link	NOUN
ejpam-5461	74	4	are	be	AUX
ejpam-5461	74	5	the	the	DET
ejpam-5461	74	6	representation	representation	NOUN
ejpam-5461	74	7	of	of	ADP
ejpam-5461	74	8	physical	physical	ADJ
ejpam-5461	74	9	networks	network	NOUN
ejpam-5461	74	10	,	,	PUNCT
ejpam-5461	74	11	such	such	ADJ
ejpam-5461	74	12	as	as	ADP
ejpam-5461	74	13	those	those	PRON
ejpam-5461	74	14	found	find	VERB
ejpam-5461	74	15	in	in	ADP
ejpam-5461	74	16	circuits	circuit	NOUN
ejpam-5461	74	17	in	in	ADP
ejpam-5461	74	18	electronics	electronic	NOUN
ejpam-5461	74	19	,	,	PUNCT
ejpam-5461	74	20	biological	biological	ADJ
ejpam-5461	74	21	intricate	intricate	ADJ
ejpam-5461	74	22	systems	system	NOUN
ejpam-5461	74	23	,	,	PUNCT
ejpam-5461	74	24	digital	digital	ADJ
ejpam-5461	74	25	networks	network	NOUN
ejpam-5461	74	26	and	and	CCONJ
ejpam-5461	74	27	social	social	ADJ
ejpam-5461	74	28	networks	network	NOUN
ejpam-5461	74	29	.	.	PUNCT
ejpam-5461	75	1	in	in	ADP
ejpam-5461	75	2	these	these	DET
ejpam-5461	75	3	networks	network	NOUN
ejpam-5461	75	4	,	,	PUNCT
ejpam-5461	75	5	things	thing	NOUN
ejpam-5461	75	6	are	be	AUX
ejpam-5461	75	7	represented	represent	VERB
ejpam-5461	75	8	by	by	ADP
ejpam-5461	75	9	nodes	node	NOUN
ejpam-5461	75	10	and	and	CCONJ
ejpam-5461	75	11	the	the	DET
ejpam-5461	75	12	relationships	relationship	NOUN
ejpam-5461	75	13	between	between	ADP
ejpam-5461	75	14	them	they	PRON
ejpam-5461	75	15	are	be	AUX
ejpam-5461	75	16	shown	show	VERB
ejpam-5461	75	17	by	by	ADP
ejpam-5461	75	18	links	link	NOUN
ejpam-5461	75	19	.	.	PUNCT
ejpam-5461	76	1	cities	city	NOUN
ejpam-5461	76	2	may	may	AUX
ejpam-5461	76	3	be	be	AUX
ejpam-5461	76	4	seen	see	VERB
ejpam-5461	76	5	as	as	ADP
ejpam-5461	76	6	nodes	node	NOUN
ejpam-5461	76	7	in	in	ADP
ejpam-5461	76	8	the	the	DET
ejpam-5461	76	9	transportation	transportation	NOUN
ejpam-5461	76	10	system	system	NOUN
ejpam-5461	76	11	,	,	PUNCT
ejpam-5461	76	12	for	for	ADP
ejpam-5461	76	13	instance	instance	NOUN
ejpam-5461	76	14	and	and	CCONJ
ejpam-5461	76	15	the	the	DET
ejpam-5461	76	16	routes	route	NOUN
ejpam-5461	76	17	connecting	connect	VERB
ejpam-5461	76	18	them	they	PRON
ejpam-5461	76	19	as	as	ADP
ejpam-5461	76	20	connections	connection	NOUN
ejpam-5461	76	21	.	.	PUNCT
ejpam-5461	77	1	harry	harry	PROPN
ejpam-5461	77	2	wiener	wiener	PROPN
ejpam-5461	77	3	first	first	ADV
ejpam-5461	77	4	used	use	VERB
ejpam-5461	77	5	topological	topological	ADJ
ejpam-5461	77	6	indices	index	NOUN
ejpam-5461	77	7	in	in	ADP
ejpam-5461	77	8	1947	1947	NUM
ejpam-5461	77	9	when	when	SCONJ
ejpam-5461	77	10	he	he	PRON
ejpam-5461	77	11	examined	examine	VERB
ejpam-5461	77	12	how	how	SCONJ
ejpam-5461	77	13	pure	pure	ADJ
ejpam-5461	77	14	structural	structural	ADJ
ejpam-5461	77	15	change	change	NOUN
ejpam-5461	77	16	affected	affect	VERB
ejpam-5461	77	17	paraffin	paraffin	NOUN
ejpam-5461	77	18	’s	’s	PART
ejpam-5461	77	19	boiling	boil	VERB
ejpam-5461	77	20	temperature	temperature	NOUN
ejpam-5461	77	21	in	in	ADP
ejpam-5461	77	22	[	[	X
ejpam-5461	77	23	58	58	NUM
ejpam-5461	77	24	]	]	PUNCT
ejpam-5461	77	25	.	.	PUNCT
ejpam-5461	78	1	the	the	DET
ejpam-5461	78	2	paraffin	paraffin	NOUN
ejpam-5461	78	3	boiling	boil	VERB
ejpam-5461	78	4	temperatures	temperature	NOUN
ejpam-5461	78	5	are	be	AUX
ejpam-5461	78	6	found	find	VERB
ejpam-5461	78	7	using	use	VERB
ejpam-5461	78	8	the	the	DET
ejpam-5461	78	9	linear	linear	ADJ
ejpam-5461	78	10	formula	formula	NOUN
ejpam-5461	78	11	sγ	sγ	NOUN
ejpam-5461	78	12	=	=	NOUN
ejpam-5461	78	13	pα+qβ+r	pα+qβ+r	PROPN
ejpam-5461	78	14	,	,	PUNCT
ejpam-5461	78	15	where	where	SCONJ
ejpam-5461	78	16	α	α	NOUN
ejpam-5461	78	17	is	be	AUX
ejpam-5461	78	18	the	the	DET
ejpam-5461	78	19	sum	sum	NOUN
ejpam-5461	78	20	of	of	ADP
ejpam-5461	78	21	the	the	DET
ejpam-5461	78	22	distances	distance	NOUN
ejpam-5461	78	23	between	between	ADP
ejpam-5461	78	24	any	any	DET
ejpam-5461	78	25	two	two	NUM
ejpam-5461	78	26	carbon	carbon	NOUN
ejpam-5461	78	27	atoms	atom	NOUN
ejpam-5461	78	28	in	in	ADP
ejpam-5461	78	29	a	a	DET
ejpam-5461	78	30	molecule	molecule	NOUN
ejpam-5461	78	31	.	.	PUNCT
ejpam-5461	79	1	this	this	PRON
ejpam-5461	79	2	was	be	AUX
ejpam-5461	79	3	how	how	SCONJ
ejpam-5461	79	4	the	the	DET
ejpam-5461	79	5	wiener	wiener	NOUN
ejpam-5461	79	6	index	index	NOUN
ejpam-5461	79	7	was	be	AUX
ejpam-5461	79	8	first	first	ADV
ejpam-5461	79	9	presented	present	VERB
ejpam-5461	79	10	.	.	PUNCT
ejpam-5461	80	1	numerous	numerous	ADJ
ejpam-5461	80	2	requirements	requirement	NOUN
ejpam-5461	80	3	are	be	AUX
ejpam-5461	80	4	met	meet	VERB
ejpam-5461	80	5	in	in	ADP
ejpam-5461	80	6	[	[	X
ejpam-5461	80	7	17	17	NUM
ejpam-5461	80	8	]	]	PUNCT
ejpam-5461	80	9	in	in	ADP
ejpam-5461	80	10	terms	term	NOUN
ejpam-5461	80	11	of	of	ADP
ejpam-5461	80	12	various	various	ADJ
ejpam-5461	80	13	graph	graph	NOUN
ejpam-5461	80	14	features	feature	NOUN
ejpam-5461	80	15	as	as	SCONJ
ejpam-5461	80	16	measured	measure	VERB
ejpam-5461	80	17	by	by	ADP
ejpam-5461	80	18	the	the	DET
ejpam-5461	80	19	wiener	wiener	NOUN
ejpam-5461	80	20	and	and	CCONJ
ejpam-5461	80	21	harary	harary	NOUN
ejpam-5461	80	22	indices	index	NOUN
ejpam-5461	80	23	.	.	PUNCT
ejpam-5461	81	1	the	the	DET
ejpam-5461	81	2	soi	soi	NOUN
ejpam-5461	81	3	,	,	PUNCT
ejpam-5461	81	4	a	a	DET
ejpam-5461	81	5	novel	novel	ADJ
ejpam-5461	81	6	graph	graph	NOUN
ejpam-5461	81	7	constant	constant	ADJ
ejpam-5461	81	8	,	,	PUNCT
ejpam-5461	81	9	is	be	AUX
ejpam-5461	81	10	defined	define	VERB
ejpam-5461	81	11	in	in	ADP
ejpam-5461	81	12	[	[	X
ejpam-5461	81	13	25	25	NUM
ejpam-5461	81	14	]	]	PUNCT
ejpam-5461	81	15	.	.	PUNCT
ejpam-5461	82	1	the	the	DET
ejpam-5461	82	2	relations	relation	NOUN
ejpam-5461	82	3	between	between	ADP
ejpam-5461	82	4	the	the	DET
ejpam-5461	82	5	soi	soi	ADJ
ejpam-5461	82	6	and	and	CCONJ
ejpam-5461	82	7	topological	topological	ADJ
ejpam-5461	82	8	indices	index	NOUN
ejpam-5461	82	9	is	be	AUX
ejpam-5461	82	10	discussed	discuss	VERB
ejpam-5461	82	11	in	in	ADP
ejpam-5461	82	12	the	the	DET
ejpam-5461	82	13	paper	paper	NOUN
ejpam-5461	82	14	[	[	X
ejpam-5461	82	15	18	18	NUM
ejpam-5461	82	16	]	]	PUNCT
ejpam-5461	82	17	.	.	PUNCT
ejpam-5461	83	1	[	[	X
ejpam-5461	83	2	13	13	NUM
ejpam-5461	83	3	]	]	PUNCT
ejpam-5461	83	4	discusses	discuss	VERB
ejpam-5461	83	5	the	the	DET
ejpam-5461	83	6	features	feature	NOUN
ejpam-5461	83	7	of	of	ADP
ejpam-5461	83	8	sombor	sombor	NOUN
ejpam-5461	83	9	indices	index	NOUN
ejpam-5461	83	10	,	,	PUNCT
ejpam-5461	83	11	examines	examine	VERB
ejpam-5461	83	12	the	the	DET
ejpam-5461	83	13	extreme	extreme	ADJ
ejpam-5461	83	14	values	value	NOUN
ejpam-5461	83	15	of	of	ADP
ejpam-5461	83	16	many	many	ADJ
ejpam-5461	83	17	graphical	graphical	ADJ
ejpam-5461	83	18	networks	network	NOUN
ejpam-5461	83	19	and	and	CCONJ
ejpam-5461	83	20	suggests	suggest	VERB
ejpam-5461	83	21	possible	possible	ADJ
ejpam-5461	83	22	uses	use	NOUN
ejpam-5461	83	23	.	.	PUNCT
ejpam-5461	84	1	the	the	DET
ejpam-5461	84	2	3rd	3rd	ADJ
ejpam-5461	84	3	,	,	PUNCT
ejpam-5461	84	4	4th	4th	ADJ
ejpam-5461	84	5	,	,	PUNCT
ejpam-5461	84	6	5th	5th	ADJ
ejpam-5461	84	7	and	and	CCONJ
ejpam-5461	84	8	6th	6th	ADJ
ejpam-5461	84	9	iterations	iteration	NOUN
ejpam-5461	84	10	of	of	ADP
ejpam-5461	84	11	soi	soi	PROPN
ejpam-5461	84	12	were	be	AUX
ejpam-5461	84	13	established	establish	VERB
ejpam-5461	84	14	by	by	ADP
ejpam-5461	84	15	ivan	ivan	PROPN
ejpam-5461	84	16	gutman	gutman	PROPN
ejpam-5461	84	17	in	in	ADP
ejpam-5461	84	18	[	[	X
ejpam-5461	84	19	26	26	NUM
ejpam-5461	84	20	]	]	PUNCT
ejpam-5461	84	21	.	.	PUNCT
ejpam-5461	85	1	in	in	ADP
ejpam-5461	85	2	[	[	X
ejpam-5461	85	3	27	27	NUM
ejpam-5461	85	4	]	]	PUNCT
ejpam-5461	85	5	,	,	PUNCT
ejpam-5461	85	6	the	the	DET
ejpam-5461	85	7	geometric	geometric	ADJ
ejpam-5461	85	8	arithmetic	arithmetic	ADJ
ejpam-5461	85	9	index	index	NOUN
ejpam-5461	85	10	and	and	CCONJ
ejpam-5461	85	11	the	the	DET
ejpam-5461	85	12	atomic	atomic	ADJ
ejpam-5461	85	13	bond	bond	NOUN
ejpam-5461	85	14	connectivity	connectivity	NOUN
ejpam-5461	85	15	index	index	NOUN
ejpam-5461	85	16	for	for	ADP
ejpam-5461	85	17	m.	m.	NOUN
ejpam-5461	85	18	alqahtani	alqahtani	PROPN
ejpam-5461	85	19	,	,	PUNCT
ejpam-5461	85	20	m.	m.	NOUN
ejpam-5461	85	21	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	85	22	,	,	PUNCT
ejpam-5461	85	23	m.	m.	NOUN
ejpam-5461	85	24	rajeshwari	rajeshwari	PROPN
ejpam-5461	85	25	/	/	SYM
ejpam-5461	85	26	eur	eur	PROPN
ejpam-5461	85	27	.	.	PUNCT
ejpam-5461	86	1	j.	j.	PROPN
ejpam-5461	86	2	pure	pure	PROPN
ejpam-5461	86	3	appl	appl	PROPN
ejpam-5461	86	4	.	.	PROPN
ejpam-5461	86	5	math	math	PROPN
ejpam-5461	86	6	,	,	PUNCT
ejpam-5461	86	7	17	17	NUM
ejpam-5461	86	8	(	(	PUNCT
ejpam-5461	86	9	4	4	NUM
ejpam-5461	86	10	)	)	PUNCT
ejpam-5461	86	11	(	(	PUNCT
ejpam-5461	86	12	2024	2024	NUM
ejpam-5461	86	13	)	)	PUNCT
ejpam-5461	86	14	,	,	PUNCT
ejpam-5461	86	15	2586	2586	NUM
ejpam-5461	86	16	-	-	SYM
ejpam-5461	86	17	2620	2620	NUM
ejpam-5461	86	18	2589	2589	NUM
ejpam-5461	86	19	various	various	ADJ
ejpam-5461	86	20	graph	graph	NOUN
ejpam-5461	86	21	networks	network	NOUN
ejpam-5461	86	22	are	be	AUX
ejpam-5461	86	23	calculated	calculate	VERB
ejpam-5461	86	24	.	.	PUNCT
ejpam-5461	87	1	using	use	VERB
ejpam-5461	87	2	indices	index	NOUN
ejpam-5461	87	3	of	of	ADP
ejpam-5461	87	4	topology	topology	NOUN
ejpam-5461	87	5	is	be	AUX
ejpam-5461	87	6	one	one	NUM
ejpam-5461	87	7	method	method	NOUN
ejpam-5461	87	8	of	of	ADP
ejpam-5461	87	9	determining	determine	VERB
ejpam-5461	87	10	the	the	DET
ejpam-5461	87	11	correlation	correlation	NOUN
ejpam-5461	87	12	between	between	ADP
ejpam-5461	87	13	a	a	DET
ejpam-5461	87	14	chemical	chemical	NOUN
ejpam-5461	87	15	compound	compound	NOUN
ejpam-5461	87	16	’s	’s	PART
ejpam-5461	87	17	structure	structure	NOUN
ejpam-5461	87	18	and	and	CCONJ
ejpam-5461	87	19	its	its	PRON
ejpam-5461	87	20	characteristics	characteristic	NOUN
ejpam-5461	87	21	[	[	X
ejpam-5461	87	22	57	57	NUM
ejpam-5461	87	23	]	]	PUNCT
ejpam-5461	87	24	.	.	PUNCT
ejpam-5461	88	1	a	a	DET
ejpam-5461	88	2	number	number	NOUN
ejpam-5461	88	3	of	of	ADP
ejpam-5461	88	4	features	feature	NOUN
ejpam-5461	88	5	for	for	ADP
ejpam-5461	88	6	various	various	ADJ
ejpam-5461	88	7	graph	graph	NOUN
ejpam-5461	88	8	families	family	NOUN
ejpam-5461	88	9	and	and	CCONJ
ejpam-5461	88	10	applications	application	NOUN
ejpam-5461	88	11	pertaining	pertain	VERB
ejpam-5461	88	12	to	to	ADP
ejpam-5461	88	13	these	these	DET
ejpam-5461	88	14	indices	index	NOUN
ejpam-5461	88	15	are	be	AUX
ejpam-5461	88	16	described	describe	VERB
ejpam-5461	88	17	in	in	ADP
ejpam-5461	88	18	[	[	X
ejpam-5461	88	19	[	[	X
ejpam-5461	88	20	24]-[9	24]-[9	NOUN
ejpam-5461	88	21	]	]	X
ejpam-5461	88	22	]	]	X
ejpam-5461	88	23	,	,	PUNCT
ejpam-5461	88	24	which	which	PRON
ejpam-5461	88	25	also	also	ADV
ejpam-5461	88	26	define	define	VERB
ejpam-5461	88	27	sombor	sombor	NOUN
ejpam-5461	88	28	index	index	NOUN
ejpam-5461	88	29	and	and	CCONJ
ejpam-5461	88	30	topological	topological	ADJ
ejpam-5461	88	31	indices	index	NOUN
ejpam-5461	88	32	of	of	ADP
ejpam-5461	88	33	degree	degree	NOUN
ejpam-5461	88	34	-	-	PUNCT
ejpam-5461	88	35	two	two	NUM
ejpam-5461	88	36	.	.	PUNCT
ejpam-5461	89	1	a	a	DET
ejpam-5461	89	2	fgwhich	fgwhich	NOUN
ejpam-5461	89	3	makes	make	VERB
ejpam-5461	89	4	it	it	PRON
ejpam-5461	89	5	simple	simple	ADJ
ejpam-5461	89	6	to	to	PART
ejpam-5461	89	7	define	define	VERB
ejpam-5461	89	8	the	the	DET
ejpam-5461	89	9	fuzzy	fuzzy	ADJ
ejpam-5461	89	10	relationship	relationship	NOUN
ejpam-5461	89	11	between	between	ADP
ejpam-5461	89	12	any	any	DET
ejpam-5461	89	13	item	item	NOUN
ejpam-5461	89	14	,	,	PUNCT
ejpam-5461	89	15	is	be	AUX
ejpam-5461	89	16	one	one	NUM
ejpam-5461	89	17	of	of	ADP
ejpam-5461	89	18	the	the	DET
ejpam-5461	89	19	most	most	ADV
ejpam-5461	89	20	versatile	versatile	ADJ
ejpam-5461	89	21	mathematical	mathematical	ADJ
ejpam-5461	89	22	tools	tool	NOUN
ejpam-5461	89	23	available	available	ADJ
ejpam-5461	89	24	.	.	PUNCT
ejpam-5461	90	1	in	in	ADP
ejpam-5461	90	2	[	[	X
ejpam-5461	90	3	33	33	NUM
ejpam-5461	90	4	]	]	PUNCT
ejpam-5461	90	5	,	,	PUNCT
ejpam-5461	90	6	a	a	DET
ejpam-5461	90	7	number	number	NOUN
ejpam-5461	90	8	of	of	ADP
ejpam-5461	90	9	fundamental	fundamental	ADJ
ejpam-5461	90	10	topological	topological	ADJ
ejpam-5461	90	11	metrics	metric	NOUN
ejpam-5461	90	12	are	be	AUX
ejpam-5461	90	13	established	establish	VERB
ejpam-5461	90	14	in	in	ADP
ejpam-5461	90	15	the	the	DET
ejpam-5461	90	16	context	context	NOUN
ejpam-5461	90	17	of	of	ADP
ejpam-5461	90	18	fgs	fgs	PROPN
ejpam-5461	90	19	,	,	PUNCT
ejpam-5461	90	20	this	this	DET
ejpam-5461	90	21	study	study	NOUN
ejpam-5461	90	22	covers	cover	VERB
ejpam-5461	90	23	limits	limit	NOUN
ejpam-5461	90	24	of	of	ADP
ejpam-5461	90	25	indices	index	NOUN
ejpam-5461	90	26	and	and	CCONJ
ejpam-5461	90	27	its	its	PRON
ejpam-5461	90	28	applications	application	NOUN
ejpam-5461	90	29	.	.	PUNCT
ejpam-5461	91	1	in	in	ADP
ejpam-5461	91	2	reference	reference	NOUN
ejpam-5461	91	3	[	[	X
ejpam-5461	91	4	1	1	NUM
ejpam-5461	91	5	]	]	PUNCT
ejpam-5461	91	6	,	,	PUNCT
ejpam-5461	91	7	the	the	DET
ejpam-5461	91	8	fuzzy	fuzzy	ADJ
ejpam-5461	91	9	randic	randic	ADJ
ejpam-5461	91	10	index	index	NOUN
ejpam-5461	91	11	and	and	CCONJ
ejpam-5461	91	12	fuzzy	fuzzy	ADJ
ejpam-5461	91	13	harmonic	harmonic	ADJ
ejpam-5461	91	14	index	index	NOUN
ejpam-5461	91	15	are	be	AUX
ejpam-5461	91	16	introduced	introduce	VERB
ejpam-5461	91	17	,	,	PUNCT
ejpam-5461	91	18	their	their	PRON
ejpam-5461	91	19	maximum	maximum	ADJ
ejpam-5461	91	20	values	value	NOUN
ejpam-5461	91	21	are	be	AUX
ejpam-5461	91	22	derived	derive	VERB
ejpam-5461	91	23	and	and	CCONJ
ejpam-5461	91	24	an	an	DET
ejpam-5461	91	25	application	application	NOUN
ejpam-5461	91	26	pertaining	pertain	VERB
ejpam-5461	91	27	to	to	ADP
ejpam-5461	91	28	cybercrime	cybercrime	NOUN
ejpam-5461	91	29	showcased	showcase	VERB
ejpam-5461	91	30	.	.	PUNCT
ejpam-5461	92	1	the	the	DET
ejpam-5461	92	2	novel	novel	ADJ
ejpam-5461	92	3	fuzzy	fuzzy	ADJ
ejpam-5461	92	4	wiener	wiener	NOUN
ejpam-5461	92	5	index	index	NOUN
ejpam-5461	92	6	and	and	CCONJ
ejpam-5461	92	7	connection	connection	NOUN
ejpam-5461	92	8	index	index	NOUN
ejpam-5461	92	9	for	for	ADP
ejpam-5461	92	10	bibolar	bibolar	ADJ
ejpam-5461	92	11	fuzzy	fuzzy	ADJ
ejpam-5461	92	12	incidence	incidence	NOUN
ejpam-5461	92	13	graphs	graph	NOUN
ejpam-5461	92	14	are	be	AUX
ejpam-5461	92	15	defined	define	VERB
ejpam-5461	92	16	and	and	CCONJ
ejpam-5461	92	17	their	their	PRON
ejpam-5461	92	18	interrelationship	interrelationship	NOUN
ejpam-5461	92	19	s	s	VERB
ejpam-5461	92	20	are	be	AUX
ejpam-5461	92	21	examined	examine	VERB
ejpam-5461	92	22	in	in	ADP
ejpam-5461	92	23	research	research	NOUN
ejpam-5461	92	24	article	article	NOUN
ejpam-5461	92	25	[	[	X
ejpam-5461	92	26	23	23	NUM
ejpam-5461	92	27	]	]	PUNCT
ejpam-5461	92	28	.	.	PUNCT
ejpam-5461	93	1	in	in	ADP
ejpam-5461	93	2	the	the	DET
ejpam-5461	93	3	fuzzy	fuzzy	ADJ
ejpam-5461	93	4	structure	structure	NOUN
ejpam-5461	93	5	,	,	PUNCT
ejpam-5461	93	6	a	a	DET
ejpam-5461	93	7	few	few	ADJ
ejpam-5461	93	8	topological	topological	ADJ
ejpam-5461	93	9	indices	index	NOUN
ejpam-5461	93	10	are	be	AUX
ejpam-5461	93	11	specified	specify	VERB
ejpam-5461	93	12	and	and	CCONJ
ejpam-5461	93	13	in	in	ADP
ejpam-5461	93	14	[	[	X
ejpam-5461	93	15	38	38	NUM
ejpam-5461	93	16	]	]	PUNCT
ejpam-5461	93	17	,	,	PUNCT
ejpam-5461	93	18	the	the	DET
ejpam-5461	93	19	corresponding	corresponding	ADJ
ejpam-5461	93	20	properties	property	NOUN
ejpam-5461	93	21	were	be	AUX
ejpam-5461	93	22	discussed	discuss	VERB
ejpam-5461	93	23	for	for	ADP
ejpam-5461	93	24	pizza	pizza	NOUN
ejpam-5461	93	25	-	-	PUNCT
ejpam-5461	93	26	graph	graph	NOUN
ejpam-5461	93	27	.	.	PUNCT
ejpam-5461	94	1	together	together	ADV
ejpam-5461	94	2	with	with	ADP
ejpam-5461	94	3	a	a	DET
ejpam-5461	94	4	cybercrime	cybercrime	NOUN
ejpam-5461	94	5	application	application	NOUN
ejpam-5461	94	6	shown	show	VERB
ejpam-5461	94	7	.	.	PUNCT
ejpam-5461	95	1	the	the	DET
ejpam-5461	95	2	intersection	intersection	NOUN
ejpam-5461	95	3	,	,	PUNCT
ejpam-5461	95	4	union	union	NOUN
ejpam-5461	95	5	and	and	CCONJ
ejpam-5461	95	6	extremals	extremal	NOUN
ejpam-5461	95	7	of	of	ADP
ejpam-5461	95	8	bibolar	bibolar	PROPN
ejpam-5461	95	9	fg	fg	PROPN
ejpam-5461	95	10	indices	index	NOUN
ejpam-5461	95	11	are	be	AUX
ejpam-5461	95	12	computed	compute	VERB
ejpam-5461	95	13	,	,	PUNCT
ejpam-5461	95	14	established	establish	VERB
ejpam-5461	95	15	and	and	CCONJ
ejpam-5461	95	16	analyzed	analyze	VERB
ejpam-5461	95	17	in	in	ADP
ejpam-5461	95	18	[	[	X
ejpam-5461	95	19	47	47	NUM
ejpam-5461	95	20	]	]	PUNCT
ejpam-5461	95	21	.	.	PUNCT
ejpam-5461	96	1	the	the	DET
ejpam-5461	96	2	distance	distance	NOUN
ejpam-5461	96	3	between	between	ADP
ejpam-5461	96	4	the	the	DET
ejpam-5461	96	5	ifss	ifss	NOUN
ejpam-5461	96	6	is	be	AUX
ejpam-5461	96	7	a	a	DET
ejpam-5461	96	8	wellknown	wellknown	ADJ
ejpam-5461	96	9	regularly	regularly	ADV
ejpam-5461	96	10	utilized	utilize	VERB
ejpam-5461	96	11	information	information	NOUN
ejpam-5461	96	12	metric	metric	ADJ
ejpam-5461	96	13	to	to	PART
ejpam-5461	96	14	enhance	enhance	VERB
ejpam-5461	96	15	decision	decision	NOUN
ejpam-5461	96	16	-	-	PUNCT
ejpam-5461	96	17	making	make	VERB
ejpam-5461	96	18	performance	performance	NOUN
ejpam-5461	96	19	.	.	PUNCT
ejpam-5461	97	1	conversely	conversely	ADV
ejpam-5461	97	2	,	,	PUNCT
ejpam-5461	97	3	using	use	VERB
ejpam-5461	97	4	different	different	ADJ
ejpam-5461	97	5	distance	distance	NOUN
ejpam-5461	97	6	metrics	metric	NOUN
ejpam-5461	97	7	produces	produce	VERB
ejpam-5461	97	8	different	different	ADJ
ejpam-5461	97	9	numerical	numerical	ADJ
ejpam-5461	97	10	results	result	NOUN
ejpam-5461	97	11	.	.	PUNCT
ejpam-5461	98	1	as	as	ADP
ejpam-5461	98	2	a	a	DET
ejpam-5461	98	3	result	result	NOUN
ejpam-5461	98	4	,	,	PUNCT
ejpam-5461	98	5	it	it	PRON
ejpam-5461	98	6	is	be	AUX
ejpam-5461	98	7	worthwhile	worthwhile	ADJ
ejpam-5461	98	8	to	to	PART
ejpam-5461	98	9	thoroughly	thoroughly	ADV
ejpam-5461	98	10	research	research	VERB
ejpam-5461	98	11	the	the	DET
ejpam-5461	98	12	procedure	procedure	NOUN
ejpam-5461	98	13	for	for	ADP
ejpam-5461	98	14	selecting	select	VERB
ejpam-5461	98	15	an	an	DET
ejpam-5461	98	16	appropriate	appropriate	ADJ
ejpam-5461	98	17	formula	formula	NOUN
ejpam-5461	98	18	for	for	ADP
ejpam-5461	98	19	calculating	calculate	VERB
ejpam-5461	98	20	distance	distance	NOUN
ejpam-5461	98	21	.	.	PUNCT
ejpam-5461	99	1	two	two	NUM
ejpam-5461	99	2	types	type	NOUN
ejpam-5461	99	3	of	of	ADP
ejpam-5461	99	4	connection	connection	NOUN
ejpam-5461	99	5	indices	index	NOUN
ejpam-5461	99	6	are	be	AUX
ejpam-5461	99	7	defined	define	VERB
ejpam-5461	99	8	by	by	ADP
ejpam-5461	99	9	the	the	DET
ejpam-5461	99	10	ifg	ifg	NOUN
ejpam-5461	99	11	design	design	NOUN
ejpam-5461	99	12	and	and	CCONJ
ejpam-5461	99	13	[	[	X
ejpam-5461	99	14	40	40	NUM
ejpam-5461	99	15	]	]	PUNCT
ejpam-5461	99	16	shows	show	VERB
ejpam-5461	99	17	examples	example	NOUN
ejpam-5461	99	18	of	of	ADP
ejpam-5461	99	19	their	their	PRON
ejpam-5461	99	20	use	use	NOUN
ejpam-5461	99	21	on	on	ADP
ejpam-5461	99	22	the	the	DET
ejpam-5461	99	23	transport	transport	NOUN
ejpam-5461	99	24	network	network	NOUN
ejpam-5461	99	25	and	and	CCONJ
ejpam-5461	99	26	internet	internet	NOUN
ejpam-5461	99	27	routing	routing	NOUN
ejpam-5461	99	28	system	system	NOUN
ejpam-5461	99	29	.	.	PUNCT
ejpam-5461	100	1	in	in	ADP
ejpam-5461	100	2	reference	reference	NOUN
ejpam-5461	100	3	[	[	X
ejpam-5461	100	4	43	43	NUM
ejpam-5461	100	5	]	]	PUNCT
ejpam-5461	100	6	,	,	PUNCT
ejpam-5461	100	7	the	the	DET
ejpam-5461	100	8	complements	complement	NOUN
ejpam-5461	100	9	of	of	ADP
ejpam-5461	100	10	an	an	DET
ejpam-5461	100	11	ifg	ifg	NOUN
ejpam-5461	100	12	and	and	CCONJ
ejpam-5461	100	13	a	a	DET
ejpam-5461	100	14	self	self	NOUN
ejpam-5461	100	15	-	-	PUNCT
ejpam-5461	100	16	complimentary	complimentary	ADJ
ejpam-5461	100	17	ifg	ifg	NOUN
ejpam-5461	100	18	are	be	AUX
ejpam-5461	100	19	delineated	delineate	VERB
ejpam-5461	100	20	,	,	PUNCT
ejpam-5461	100	21	their	their	PRON
ejpam-5461	100	22	characteristics	characteristic	NOUN
ejpam-5461	100	23	are	be	AUX
ejpam-5461	100	24	examined	examine	VERB
ejpam-5461	100	25	and	and	CCONJ
ejpam-5461	100	26	some	some	DET
ejpam-5461	100	27	functions	function	NOUN
ejpam-5461	100	28	are	be	AUX
ejpam-5461	100	29	also	also	ADV
ejpam-5461	100	30	implemented	implement	VERB
ejpam-5461	100	31	for	for	ADP
ejpam-5461	100	32	these	these	DET
ejpam-5461	100	33	graphs	graph	NOUN
ejpam-5461	100	34	.	.	PUNCT
ejpam-5461	101	1	in	in	ADP
ejpam-5461	101	2	[	[	X
ejpam-5461	101	3	20	20	NUM
ejpam-5461	101	4	]	]	PUNCT
ejpam-5461	101	5	,	,	PUNCT
ejpam-5461	101	6	a	a	DET
ejpam-5461	101	7	number	number	NOUN
ejpam-5461	101	8	of	of	ADP
ejpam-5461	101	9	degree	degree	NOUN
ejpam-5461	101	10	,	,	PUNCT
ejpam-5461	101	11	order	order	NOUN
ejpam-5461	101	12	and	and	CCONJ
ejpam-5461	101	13	size	size	NOUN
ejpam-5461	101	14	attributes	attribute	NOUN
ejpam-5461	101	15	are	be	AUX
ejpam-5461	101	16	presented	present	VERB
ejpam-5461	101	17	;	;	PUNCT
ejpam-5461	101	18	the	the	DET
ejpam-5461	101	19	identical	identical	ADJ
ejpam-5461	101	20	article	article	NOUN
ejpam-5461	101	21	also	also	ADV
ejpam-5461	101	22	defines	define	VERB
ejpam-5461	101	23	full	full	ADJ
ejpam-5461	101	24	and	and	CCONJ
ejpam-5461	101	25	regular	regular	ADJ
ejpam-5461	101	26	ifgs	ifgs	NOUN
ejpam-5461	101	27	.	.	PUNCT
ejpam-5461	102	1	it	it	PRON
ejpam-5461	102	2	is	be	AUX
ejpam-5461	102	3	confirmed	confirm	VERB
ejpam-5461	102	4	that	that	SCONJ
ejpam-5461	102	5	operations	operation	NOUN
ejpam-5461	102	6	on	on	ADP
ejpam-5461	102	7	a	a	DET
ejpam-5461	102	8	strong	strong	ADJ
ejpam-5461	102	9	ifg	ifg	NOUN
ejpam-5461	102	10	produce	produce	VERB
ejpam-5461	102	11	another	another	DET
ejpam-5461	102	12	strong	strong	ADJ
ejpam-5461	102	13	ifgs	ifgs	NOUN
ejpam-5461	102	14	in	in	ADP
ejpam-5461	102	15	[	[	X
ejpam-5461	102	16	51	51	NUM
ejpam-5461	102	17	]	]	PUNCT
ejpam-5461	102	18	,	,	PUNCT
ejpam-5461	102	19	where	where	SCONJ
ejpam-5461	102	20	three	three	NUM
ejpam-5461	102	21	products	product	NOUN
ejpam-5461	102	22	are	be	AUX
ejpam-5461	102	23	specified	specify	VERB
ejpam-5461	102	24	.	.	PUNCT
ejpam-5461	103	1	illustrations	illustration	NOUN
ejpam-5461	103	2	are	be	AUX
ejpam-5461	103	3	used	use	VERB
ejpam-5461	103	4	to	to	PART
ejpam-5461	103	5	define	define	VERB
ejpam-5461	103	6	and	and	CCONJ
ejpam-5461	103	7	describe	describe	VERB
ejpam-5461	103	8	a	a	DET
ejpam-5461	103	9	few	few	ADJ
ejpam-5461	103	10	products	product	NOUN
ejpam-5461	103	11	and	and	CCONJ
ejpam-5461	103	12	references	reference	NOUN
ejpam-5461	104	1	[	[	X
ejpam-5461	104	2	[	[	X
ejpam-5461	104	3	52	52	NUM
ejpam-5461	104	4	]	]	PUNCT
ejpam-5461	104	5	,	,	PUNCT
ejpam-5461	104	6	[	[	X
ejpam-5461	104	7	2	2	NUM
ejpam-5461	104	8	]	]	PUNCT
ejpam-5461	104	9	]	]	PUNCT
ejpam-5461	104	10	provide	provide	VERB
ejpam-5461	104	11	calculations	calculation	NOUN
ejpam-5461	104	12	for	for	ADP
ejpam-5461	104	13	the	the	DET
ejpam-5461	104	14	degree	degree	NOUN
ejpam-5461	104	15	of	of	ADP
ejpam-5461	104	16	vertices	vertex	NOUN
ejpam-5461	104	17	of	of	ADP
ejpam-5461	104	18	ifgs	ifgs	NOUN
ejpam-5461	104	19	that	that	PRON
ejpam-5461	104	20	resulted	result	VERB
ejpam-5461	104	21	from	from	ADP
ejpam-5461	104	22	this	this	DET
ejpam-5461	104	23	process	process	NOUN
ejpam-5461	104	24	.	.	PUNCT
ejpam-5461	105	1	[	[	X
ejpam-5461	105	2	[	[	X
ejpam-5461	105	3	15	15	NUM
ejpam-5461	105	4	]	]	PUNCT
ejpam-5461	105	5	,	,	PUNCT
ejpam-5461	105	6	[	[	X
ejpam-5461	105	7	56	56	NUM
ejpam-5461	105	8	]	]	X
ejpam-5461	105	9	]	]	PUNCT
ejpam-5461	105	10	provide	provide	VERB
ejpam-5461	105	11	the	the	DET
ejpam-5461	105	12	notions	notion	NOUN
ejpam-5461	105	13	of	of	ADP
ejpam-5461	105	14	constant	constant	ADJ
ejpam-5461	105	15	ifg	ifg	NOUN
ejpam-5461	105	16	,	,	PUNCT
ejpam-5461	105	17	the	the	DET
ejpam-5461	105	18	2nd	2nd	ADJ
ejpam-5461	105	19	type	type	NOUN
ejpam-5461	105	20	of	of	ADP
ejpam-5461	105	21	ifg	ifg	NOUN
ejpam-5461	105	22	and	and	CCONJ
ejpam-5461	105	23	generalized	generalized	ADJ
ejpam-5461	105	24	ifg	ifg	NOUN
ejpam-5461	105	25	.	.	PUNCT
ejpam-5461	106	1	in	in	ADP
ejpam-5461	106	2	[	[	X
ejpam-5461	106	3	21	21	NUM
ejpam-5461	106	4	]	]	X
ejpam-5461	106	5	,	,	PUNCT
ejpam-5461	106	6	a	a	DET
ejpam-5461	106	7	few	few	ADJ
ejpam-5461	106	8	different	different	ADJ
ejpam-5461	106	9	kinds	kind	NOUN
ejpam-5461	106	10	of	of	ADP
ejpam-5461	106	11	irregular	irregular	ADJ
ejpam-5461	106	12	graphs	graph	NOUN
ejpam-5461	106	13	are	be	AUX
ejpam-5461	106	14	defined	define	VERB
ejpam-5461	106	15	and	and	CCONJ
ejpam-5461	106	16	some	some	DET
ejpam-5461	106	17	findings	finding	NOUN
ejpam-5461	106	18	on	on	ADP
ejpam-5461	106	19	completely	completely	ADV
ejpam-5461	106	20	irregular	irregular	ADJ
ejpam-5461	106	21	ifgs	ifgs	NOUN
ejpam-5461	106	22	are	be	AUX
ejpam-5461	106	23	also	also	ADV
ejpam-5461	106	24	covered	cover	VERB
ejpam-5461	106	25	.	.	PUNCT
ejpam-5461	107	1	1.3	1.3	NUM
ejpam-5461	107	2	.	.	PUNCT
ejpam-5461	107	3	neutrosophic	neutrosophic	ADJ
ejpam-5461	107	4	graphs(ngs	graphs(ng	NOUN
ejpam-5461	107	5	)	)	PUNCT
ejpam-5461	107	6	regarding	regard	VERB
ejpam-5461	107	7	the	the	DET
ejpam-5461	107	8	neutrosophic	neutrosophic	ADJ
ejpam-5461	107	9	sets	set	NOUN
ejpam-5461	107	10	(	(	PUNCT
ejpam-5461	107	11	nss	nss	NOUN
ejpam-5461	107	12	)	)	PUNCT
ejpam-5461	107	13	,	,	PUNCT
ejpam-5461	107	14	smarandache	smarandache	NOUN
ejpam-5461	107	15	gave	give	VERB
ejpam-5461	107	16	them	they	PRON
ejpam-5461	107	17	the	the	DET
ejpam-5461	107	18	go	go	NOUN
ejpam-5461	107	19	-	-	PUNCT
ejpam-5461	107	20	ahead	ahead	NOUN
ejpam-5461	107	21	.	.	PUNCT
ejpam-5461	108	1	the	the	DET
ejpam-5461	108	2	truth	truth	NOUN
ejpam-5461	108	3	membership	membership	NOUN
ejpam-5461	108	4	value	value	NOUN
ejpam-5461	108	5	(	(	PUNCT
ejpam-5461	108	6	t	t	PROPN
ejpam-5461	108	7	mv	mv	PROPN
ejpam-5461	108	8	)	)	PUNCT
ejpam-5461	108	9	,	,	PUNCT
ejpam-5461	108	10	falsity	falsity	NOUN
ejpam-5461	108	11	membership	membership	NOUN
ejpam-5461	108	12	value	value	NOUN
ejpam-5461	108	13	(	(	PUNCT
ejpam-5461	108	14	fmv	fmv	PROPN
ejpam-5461	108	15	)	)	PUNCT
ejpam-5461	108	16	and	and	CCONJ
ejpam-5461	108	17	indeterminacy	indeterminacy	NOUN
ejpam-5461	108	18	membership	membership	NOUN
ejpam-5461	108	19	value	value	NOUN
ejpam-5461	108	20	(	(	PUNCT
ejpam-5461	108	21	imv	imv	PROPN
ejpam-5461	108	22	)	)	PUNCT
ejpam-5461	108	23	are	be	AUX
ejpam-5461	108	24	all	all	PRON
ejpam-5461	108	25	included	include	VERB
ejpam-5461	108	26	.	.	PUNCT
ejpam-5461	109	1	by	by	ADP
ejpam-5461	109	2	this	this	DET
ejpam-5461	109	3	work	work	NOUN
ejpam-5461	109	4	,	,	PUNCT
ejpam-5461	109	5	some	some	PRON
ejpam-5461	109	6	of	of	ADP
ejpam-5461	109	7	the	the	DET
ejpam-5461	109	8	features	feature	NOUN
ejpam-5461	109	9	of	of	ADP
ejpam-5461	109	10	the	the	DET
ejpam-5461	109	11	strong	strong	ADJ
ejpam-5461	109	12	ng	ng	PROPN
ejpam-5461	109	13	proposed	propose	VERB
ejpam-5461	109	14	in	in	ADP
ejpam-5461	109	15	[	[	X
ejpam-5461	109	16	39	39	NUM
ejpam-5461	109	17	]	]	PUNCT
ejpam-5461	109	18	have	have	AUX
ejpam-5461	109	19	been	be	AUX
ejpam-5461	109	20	examined	examine	VERB
ejpam-5461	109	21	and	and	CCONJ
ejpam-5461	109	22	an	an	DET
ejpam-5461	109	23	example	example	NOUN
ejpam-5461	109	24	is	be	AUX
ejpam-5461	109	25	shown	show	VERB
ejpam-5461	109	26	.	.	PUNCT
ejpam-5461	110	1	establishments	establishment	NOUN
ejpam-5461	110	2	are	be	AUX
ejpam-5461	110	3	made	make	VERB
ejpam-5461	110	4	about	about	ADP
ejpam-5461	110	5	definitions	definition	NOUN
ejpam-5461	110	6	,	,	PUNCT
ejpam-5461	110	7	propositions	proposition	NOUN
ejpam-5461	110	8	,	,	PUNCT
ejpam-5461	110	9	homomorphism	homomorphism	NOUN
ejpam-5461	110	10	and	and	CCONJ
ejpam-5461	110	11	isomorphism	isomorphism	NOUN
ejpam-5461	110	12	theorems	theorem	NOUN
ejpam-5461	110	13	in	in	ADP
ejpam-5461	110	14	strong	strong	ADJ
ejpam-5461	110	15	neutrosophic	neutrosophic	ADJ
ejpam-5461	110	16	graphs	graph	NOUN
ejpam-5461	110	17	.	.	PUNCT
ejpam-5461	111	1	[	[	X
ejpam-5461	111	2	22	22	NUM
ejpam-5461	111	3	]	]	PUNCT
ejpam-5461	111	4	investigated	investigate	VERB
ejpam-5461	111	5	the	the	DET
ejpam-5461	111	6	wiener	wiener	NOUN
ejpam-5461	111	7	index	index	NOUN
ejpam-5461	111	8	in	in	ADP
ejpam-5461	111	9	neutrosophic	neutrosophic	ADJ
ejpam-5461	111	10	graphs	graph	NOUN
ejpam-5461	111	11	by	by	ADP
ejpam-5461	111	12	masoud	masoud	PROPN
ejpam-5461	111	13	ghods	ghods	PROPN
ejpam-5461	111	14	and	and	CCONJ
ejpam-5461	111	15	zahra	zahra	PROPN
ejpam-5461	111	16	rostami	rostami	PROPN
ejpam-5461	111	17	.	.	PUNCT
ejpam-5461	112	1	a	a	DET
ejpam-5461	112	2	significant	significant	ADJ
ejpam-5461	112	3	topological	topological	ADJ
ejpam-5461	112	4	index	index	NOUN
ejpam-5461	112	5	is	be	AUX
ejpam-5461	112	6	the	the	DET
ejpam-5461	112	7	wiener	wiener	NOUN
ejpam-5461	112	8	index	index	NOUN
ejpam-5461	112	9	.	.	PUNCT
ejpam-5461	113	1	with	with	ADP
ejpam-5461	113	2	reference	reference	NOUN
ejpam-5461	113	3	to	to	ADP
ejpam-5461	113	4	the	the	DET
ejpam-5461	113	5	geodesic	geodesic	ADJ
ejpam-5461	113	6	distance	distance	NOUN
ejpam-5461	113	7	between	between	ADP
ejpam-5461	113	8	two	two	NUM
ejpam-5461	113	9	vertices	vertex	NOUN
ejpam-5461	113	10	,	,	PUNCT
ejpam-5461	113	11	this	this	DET
ejpam-5461	113	12	index	index	NOUN
ejpam-5461	113	13	is	be	AUX
ejpam-5461	113	14	a	a	DET
ejpam-5461	113	15	distance	distance	NOUN
ejpam-5461	113	16	-	-	PUNCT
ejpam-5461	113	17	based	base	VERB
ejpam-5461	113	18	index	index	NOUN
ejpam-5461	113	19	.	.	PUNCT
ejpam-5461	114	1	specifically	specifically	ADV
ejpam-5461	114	2	,	,	PUNCT
ejpam-5461	114	3	following	follow	VERB
ejpam-5461	114	4	the	the	DET
ejpam-5461	114	5	definition	definition	NOUN
ejpam-5461	114	6	of	of	ADP
ejpam-5461	114	7	the	the	DET
ejpam-5461	114	8	wiener	wiener	NOUN
ejpam-5461	114	9	index	index	NOUN
ejpam-5461	114	10	m.	m.	NOUN
ejpam-5461	114	11	alqahtani	alqahtani	PROPN
ejpam-5461	114	12	,	,	PUNCT
ejpam-5461	114	13	m.	m.	NOUN
ejpam-5461	114	14	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	114	15	,	,	PUNCT
ejpam-5461	114	16	m.	m.	NOUN
ejpam-5461	114	17	rajeshwari	rajeshwari	PROPN
ejpam-5461	114	18	/	/	SYM
ejpam-5461	114	19	eur	eur	PROPN
ejpam-5461	114	20	.	.	PUNCT
ejpam-5461	115	1	j.	j.	PROPN
ejpam-5461	115	2	pure	pure	PROPN
ejpam-5461	115	3	appl	appl	PROPN
ejpam-5461	115	4	.	.	PROPN
ejpam-5461	115	5	math	math	PROPN
ejpam-5461	115	6	,	,	PUNCT
ejpam-5461	115	7	17	17	NUM
ejpam-5461	115	8	(	(	PUNCT
ejpam-5461	115	9	4	4	NUM
ejpam-5461	115	10	)	)	PUNCT
ejpam-5461	115	11	(	(	PUNCT
ejpam-5461	115	12	2024	2024	NUM
ejpam-5461	115	13	)	)	PUNCT
ejpam-5461	115	14	,	,	PUNCT
ejpam-5461	115	15	2586	2586	NUM
ejpam-5461	115	16	-	-	SYM
ejpam-5461	115	17	2620	2620	NUM
ejpam-5461	115	18	2590	2590	NUM
ejpam-5461	115	19	in	in	ADP
ejpam-5461	115	20	neutrosophic	neutrosophic	ADJ
ejpam-5461	115	21	graphs	graph	NOUN
ejpam-5461	115	22	.	.	PUNCT
ejpam-5461	116	1	[	[	X
ejpam-5461	116	2	35	35	NUM
ejpam-5461	116	3	]	]	PUNCT
ejpam-5461	116	4	in	in	ADP
ejpam-5461	116	5	addition	addition	NOUN
ejpam-5461	116	6	to	to	ADP
ejpam-5461	116	7	providing	provide	VERB
ejpam-5461	116	8	some	some	DET
ejpam-5461	116	9	applications	application	NOUN
ejpam-5461	116	10	for	for	ADP
ejpam-5461	116	11	computer	computer	NOUN
ejpam-5461	116	12	networks	network	NOUN
ejpam-5461	116	13	,	,	PUNCT
ejpam-5461	116	14	highway	highway	NOUN
ejpam-5461	116	15	systems	system	NOUN
ejpam-5461	116	16	and	and	CCONJ
ejpam-5461	116	17	transport	transport	NOUN
ejpam-5461	116	18	network	network	NOUN
ejpam-5461	116	19	flow	flow	NOUN
ejpam-5461	116	20	,	,	PUNCT
ejpam-5461	116	21	this	this	DET
ejpam-5461	116	22	author	author	NOUN
ejpam-5461	116	23	employed	employ	VERB
ejpam-5461	116	24	the	the	DET
ejpam-5461	116	25	notion	notion	NOUN
ejpam-5461	116	26	of	of	ADP
ejpam-5461	116	27	connectedness	connectedness	NOUN
ejpam-5461	116	28	indices	index	NOUN
ejpam-5461	116	29	in	in	ADP
ejpam-5461	116	30	ngs	ng	NOUN
ejpam-5461	116	31	.	.	PUNCT
ejpam-5461	117	1	the	the	DET
ejpam-5461	117	2	first	first	ADJ
ejpam-5461	117	3	six	six	NUM
ejpam-5461	117	4	sombor	sombor	NOUN
ejpam-5461	117	5	numbers	number	NOUN
ejpam-5461	117	6	for	for	ADP
ejpam-5461	117	7	single	single	ADV
ejpam-5461	117	8	-	-	PUNCT
ejpam-5461	117	9	valued	value	VERB
ejpam-5461	117	10	neutrosophic	neutrosophic	ADJ
ejpam-5461	117	11	fuzzy	fuzzy	ADJ
ejpam-5461	117	12	networks	network	NOUN
ejpam-5461	117	13	are	be	AUX
ejpam-5461	117	14	defined	define	VERB
ejpam-5461	117	15	by	by	ADP
ejpam-5461	117	16	anwar	anwar	PROPN
ejpam-5461	117	17	et	et	PROPN
ejpam-5461	117	18	al	al	PROPN
ejpam-5461	117	19	.	.	PUNCT
ejpam-5461	118	1	in	in	ADP
ejpam-5461	118	2	[	[	X
ejpam-5461	118	3	6	6	NUM
ejpam-5461	118	4	]	]	PUNCT
ejpam-5461	118	5	.	.	PUNCT
ejpam-5461	119	1	the	the	DET
ejpam-5461	119	2	six	six	NUM
ejpam-5461	119	3	sombor	sombor	NOUN
ejpam-5461	119	4	numbers	number	NOUN
ejpam-5461	119	5	for	for	ADP
ejpam-5461	119	6	these	these	DET
ejpam-5461	119	7	basic	basic	ADJ
ejpam-5461	119	8	graph	graph	NOUN
ejpam-5461	119	9	families	family	NOUN
ejpam-5461	119	10	are	be	AUX
ejpam-5461	119	11	then	then	ADV
ejpam-5461	119	12	calculated	calculate	VERB
ejpam-5461	119	13	for	for	ADP
ejpam-5461	119	14	single	single	ADV
ejpam-5461	119	15	-	-	PUNCT
ejpam-5461	119	16	valued	value	VERB
ejpam-5461	119	17	neutrosophic	neutrosophic	ADJ
ejpam-5461	119	18	fuzzy	fuzzy	ADJ
ejpam-5461	119	19	graphs	graph	NOUN
ejpam-5461	119	20	and	and	CCONJ
ejpam-5461	119	21	the	the	DET
ejpam-5461	119	22	degree	degree	NOUN
ejpam-5461	119	23	of	of	ADP
ejpam-5461	119	24	vertices	vertex	NOUN
ejpam-5461	119	25	of	of	ADP
ejpam-5461	119	26	various	various	ADJ
ejpam-5461	119	27	graph	graph	NOUN
ejpam-5461	119	28	families	family	NOUN
ejpam-5461	119	29	is	be	AUX
ejpam-5461	119	30	established	establish	VERB
ejpam-5461	119	31	in	in	ADP
ejpam-5461	119	32	a	a	DET
ejpam-5461	119	33	singlevalued	singlevalue	VERB
ejpam-5461	119	34	neutrosophic	neutrosophic	ADJ
ejpam-5461	119	35	fuzzy	fuzzy	ADJ
ejpam-5461	119	36	framework	framework	NOUN
ejpam-5461	119	37	.	.	PUNCT
ejpam-5461	120	1	al	al	PROPN
ejpam-5461	120	2	-	-	PUNCT
ejpam-5461	120	3	omeri	omeri	PROPN
ejpam-5461	120	4	and	and	CCONJ
ejpam-5461	120	5	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	120	6	used	use	VERB
ejpam-5461	120	7	the	the	DET
ejpam-5461	120	8	ng	ng	PROPN
ejpam-5461	120	9	idea	idea	NOUN
ejpam-5461	120	10	in	in	ADP
ejpam-5461	120	11	[	[	X
ejpam-5461	120	12	4	4	NUM
ejpam-5461	120	13	]	]	PUNCT
ejpam-5461	120	14	to	to	PART
ejpam-5461	120	15	locate	locate	VERB
ejpam-5461	120	16	the	the	DET
ejpam-5461	120	17	japan	japan	PROPN
ejpam-5461	120	18	earthquake	earthquake	PROPN
ejpam-5461	120	19	response	response	NOUN
ejpam-5461	120	20	center	center	NOUN
ejpam-5461	120	21	.	.	PUNCT
ejpam-5461	121	1	complex	complex	ADJ
ejpam-5461	121	2	ngs	ng	NOUN
ejpam-5461	121	3	are	be	AUX
ejpam-5461	121	4	constructed	construct	VERB
ejpam-5461	121	5	by	by	ADP
ejpam-5461	121	6	fusing	fuse	VERB
ejpam-5461	121	7	concepts	concept	NOUN
ejpam-5461	121	8	from	from	ADP
ejpam-5461	121	9	graph	graph	NOUN
ejpam-5461	121	10	theory	theory	NOUN
ejpam-5461	121	11	with	with	ADP
ejpam-5461	121	12	complex	complex	ADJ
ejpam-5461	121	13	nss	ns	NOUN
ejpam-5461	121	14	,	,	PUNCT
ejpam-5461	121	15	as	as	SCONJ
ejpam-5461	121	16	stated	state	VERB
ejpam-5461	121	17	alqahtani	alqahtani	PROPN
ejpam-5461	121	18	et	et	PROPN
ejpam-5461	121	19	al	al	PROPN
ejpam-5461	121	20	.	.	PUNCT
ejpam-5461	122	1	in	in	ADP
ejpam-5461	122	2	[	[	X
ejpam-5461	122	3	5	5	NUM
ejpam-5461	122	4	]	]	PUNCT
ejpam-5461	122	5	.	.	PUNCT
ejpam-5461	123	1	this	this	PRON
ejpam-5461	123	2	offers	offer	VERB
ejpam-5461	123	3	an	an	DET
ejpam-5461	123	4	adaptable	adaptable	ADJ
ejpam-5461	123	5	framework	framework	NOUN
ejpam-5461	123	6	for	for	ADP
ejpam-5461	123	7	handling	handle	VERB
ejpam-5461	123	8	challenging	challenging	ADJ
ejpam-5461	123	9	situations	situation	NOUN
ejpam-5461	123	10	involving	involve	VERB
ejpam-5461	123	11	the	the	DET
ejpam-5461	123	12	solution	solution	NOUN
ejpam-5461	123	13	of	of	ADP
ejpam-5461	123	14	problems	problem	NOUN
ejpam-5461	123	15	.	.	PUNCT
ejpam-5461	124	1	a	a	DET
ejpam-5461	124	2	number	number	NOUN
ejpam-5461	124	3	of	of	ADP
ejpam-5461	124	4	procedures	procedure	NOUN
ejpam-5461	124	5	,	,	PUNCT
ejpam-5461	124	6	including	include	VERB
ejpam-5461	124	7	union	union	NOUN
ejpam-5461	124	8	,	,	PUNCT
ejpam-5461	124	9	join	join	VERB
ejpam-5461	124	10	and	and	CCONJ
ejpam-5461	124	11	composition	composition	NOUN
ejpam-5461	124	12	are	be	AUX
ejpam-5461	124	13	studied	study	VERB
ejpam-5461	124	14	in	in	ADP
ejpam-5461	124	15	detail	detail	NOUN
ejpam-5461	124	16	to	to	PART
ejpam-5461	124	17	enhance	enhance	VERB
ejpam-5461	124	18	the	the	DET
ejpam-5461	124	19	management	management	NOUN
ejpam-5461	124	20	of	of	ADP
ejpam-5461	124	21	complex	complex	ADJ
ejpam-5461	124	22	ngs	ng	NOUN
ejpam-5461	124	23	.	.	PUNCT
ejpam-5461	125	1	1.4	1.4	NUM
ejpam-5461	125	2	.	.	PUNCT
ejpam-5461	126	1	research	research	NOUN
ejpam-5461	126	2	gaps	gap	VERB
ejpam-5461	126	3	the	the	DET
ejpam-5461	126	4	soi	soi	NOUN
ejpam-5461	126	5	was	be	AUX
ejpam-5461	126	6	developed	develop	VERB
ejpam-5461	126	7	to	to	PART
ejpam-5461	126	8	extend	extend	VERB
ejpam-5461	126	9	the	the	DET
ejpam-5461	126	10	analysis	analysis	NOUN
ejpam-5461	126	11	toward	toward	ADP
ejpam-5461	126	12	molecular	molecular	ADJ
ejpam-5461	126	13	descriptors	descriptor	NOUN
ejpam-5461	126	14	’	'	PUNCT
ejpam-5461	126	15	calculation	calculation	NOUN
ejpam-5461	126	16	while	while	SCONJ
ejpam-5461	126	17	the	the	DET
ejpam-5461	126	18	prior	prior	ADJ
ejpam-5461	126	19	strategies	strategy	NOUN
ejpam-5461	126	20	pay	pay	VERB
ejpam-5461	126	21	their	their	PRON
ejpam-5461	126	22	most	most	ADJ
ejpam-5461	126	23	attention	attention	NOUN
ejpam-5461	126	24	to	to	ADP
ejpam-5461	126	25	crisp	crisp	ADJ
ejpam-5461	126	26	graphs	graph	NOUN
ejpam-5461	126	27	;	;	PUNCT
ejpam-5461	126	28	however	however	ADV
ejpam-5461	126	29	,	,	PUNCT
ejpam-5461	126	30	crisp	crisp	ADJ
ejpam-5461	126	31	graphs	graph	NOUN
ejpam-5461	126	32	are	be	AUX
ejpam-5461	126	33	not	not	PART
ejpam-5461	126	34	well	well	ADV
ejpam-5461	126	35	suited	suited	ADJ
ejpam-5461	126	36	in	in	ADP
ejpam-5461	126	37	uncertain	uncertain	ADJ
ejpam-5461	126	38	or	or	CCONJ
ejpam-5461	126	39	fuzzy	fuzzy	ADJ
ejpam-5461	126	40	scenarios	scenario	NOUN
ejpam-5461	126	41	.	.	PUNCT
ejpam-5461	127	1	this	this	DET
ejpam-5461	127	2	gap	gap	NOUN
ejpam-5461	127	3	emerges	emerge	VERB
ejpam-5461	127	4	since	since	ADV
ejpam-5461	127	5	,	,	PUNCT
ejpam-5461	127	6	in	in	ADP
ejpam-5461	127	7	real	real	ADJ
ejpam-5461	127	8	-	-	PUNCT
ejpam-5461	127	9	world	world	NOUN
ejpam-5461	127	10	graphically	graphically	ADV
ejpam-5461	127	11	modeled	model	VERB
ejpam-5461	127	12	systems	system	NOUN
ejpam-5461	127	13	e.g.	e.g.	ADV
ejpam-5461	127	14	for	for	ADP
ejpam-5461	127	15	decisionmaking	decisionmake	VERB
ejpam-5461	127	16	in	in	ADP
ejpam-5461	127	17	molecular	molecular	ADJ
ejpam-5461	127	18	chemistry	chemistry	NOUN
ejpam-5461	127	19	and	and	CCONJ
ejpam-5461	127	20	urban	urban	ADJ
ejpam-5461	127	21	planning	planning	NOUN
ejpam-5461	127	22	,	,	PUNCT
ejpam-5461	127	23	there	there	PRON
ejpam-5461	127	24	are	be	VERB
ejpam-5461	127	25	inevitable	inevitable	ADJ
ejpam-5461	127	26	uncertainties	uncertainty	NOUN
ejpam-5461	127	27	and	and	CCONJ
ejpam-5461	127	28	ambiguities	ambiguity	NOUN
ejpam-5461	127	29	that	that	SCONJ
ejpam-5461	127	30	crisp	crisp	ADJ
ejpam-5461	127	31	graph	graph	NOUN
ejpam-5461	127	32	theory	theory	NOUN
ejpam-5461	127	33	does	do	AUX
ejpam-5461	127	34	not	not	PART
ejpam-5461	127	35	consider	consider	VERB
ejpam-5461	127	36	or	or	CCONJ
ejpam-5461	127	37	handle	handle	VERB
ejpam-5461	127	38	well	well	ADV
ejpam-5461	127	39	enough	enough	ADV
ejpam-5461	127	40	.	.	PUNCT
ejpam-5461	128	1	the	the	DET
ejpam-5461	128	2	research	research	NOUN
ejpam-5461	128	3	question	question	NOUN
ejpam-5461	128	4	to	to	PART
ejpam-5461	128	5	address	address	VERB
ejpam-5461	128	6	this	this	DET
ejpam-5461	128	7	gap	gap	NOUN
ejpam-5461	128	8	could	could	AUX
ejpam-5461	128	9	be	be	AUX
ejpam-5461	128	10	:	:	PUNCT
ejpam-5461	128	11	as	as	ADP
ejpam-5461	128	12	a	a	DET
ejpam-5461	128	13	contribution	contribution	NOUN
ejpam-5461	128	14	to	to	ADP
ejpam-5461	128	15	answering	answer	VERB
ejpam-5461	128	16	these	these	DET
ejpam-5461	128	17	questions	question	NOUN
ejpam-5461	128	18	,	,	PUNCT
ejpam-5461	128	19	this	this	DET
ejpam-5461	128	20	paper	paper	NOUN
ejpam-5461	128	21	aims	aim	VERB
ejpam-5461	128	22	to	to	PART
ejpam-5461	128	23	demonstrate	demonstrate	VERB
ejpam-5461	128	24	the	the	DET
ejpam-5461	128	25	potential	potential	NOUN
ejpam-5461	128	26	of	of	ADP
ejpam-5461	128	27	certain	certain	ADJ
ejpam-5461	128	28	formalisms	formalism	NOUN
ejpam-5461	128	29	in	in	ADP
ejpam-5461	128	30	dealing	deal	VERB
ejpam-5461	128	31	with	with	ADP
ejpam-5461	128	32	uncertainty	uncertainty	NOUN
ejpam-5461	128	33	in	in	ADP
ejpam-5461	128	34	networks	network	NOUN
ejpam-5461	128	35	-	-	PUNCT
ejpam-5461	128	36	neutrosophic	neutrosophic	ADJ
ejpam-5461	128	37	graph	graph	NOUN
ejpam-5461	128	38	theory	theory	NOUN
ejpam-5461	128	39	and	and	CCONJ
ejpam-5461	128	40	nsoi	nsoi	NOUN
ejpam-5461	128	41	in	in	ADP
ejpam-5461	128	42	particular	particular	ADJ
ejpam-5461	128	43	.	.	PUNCT
ejpam-5461	129	1	1.5	1.5	NUM
ejpam-5461	129	2	.	.	PUNCT
ejpam-5461	130	1	motivation	motivation	NOUN
ejpam-5461	130	2	of	of	ADP
ejpam-5461	130	3	study	study	NOUN
ejpam-5461	130	4	this	this	DET
ejpam-5461	130	5	research	research	NOUN
ejpam-5461	130	6	is	be	AUX
ejpam-5461	130	7	motivated	motivate	VERB
ejpam-5461	130	8	by	by	ADP
ejpam-5461	130	9	the	the	DET
ejpam-5461	130	10	increasing	increase	VERB
ejpam-5461	130	11	demand	demand	NOUN
ejpam-5461	130	12	for	for	ADP
ejpam-5461	130	13	sophisticated	sophisticated	ADJ
ejpam-5461	130	14	methodologies	methodology	NOUN
ejpam-5461	130	15	for	for	ADP
ejpam-5461	130	16	system	system	NOUN
ejpam-5461	130	17	analysis	analysis	NOUN
ejpam-5461	130	18	where	where	SCONJ
ejpam-5461	130	19	formal	formal	ADJ
ejpam-5461	130	20	uncertainty	uncertainty	NOUN
ejpam-5461	130	21	prevails	prevail	VERB
ejpam-5461	130	22	.	.	PUNCT
ejpam-5461	131	1	sombor	sombor	NOUN
ejpam-5461	131	2	indices	index	NOUN
ejpam-5461	131	3	and	and	CCONJ
ejpam-5461	131	4	fgs	fgs	PROPN
ejpam-5461	131	5	have	have	VERB
ejpam-5461	131	6	some	some	DET
ejpam-5461	131	7	limitations	limitation	NOUN
ejpam-5461	131	8	in	in	ADP
ejpam-5461	131	9	describing	describe	VERB
ejpam-5461	131	10	the	the	DET
ejpam-5461	131	11	indeterminacy	indeterminacy	NOUN
ejpam-5461	131	12	,	,	PUNCT
ejpam-5461	131	13	therefore	therefore	ADV
ejpam-5461	131	14	,	,	PUNCT
ejpam-5461	131	15	the	the	DET
ejpam-5461	131	16	proposed	propose	VERB
ejpam-5461	131	17	neutrosophic	neutrosophic	ADJ
ejpam-5461	131	18	sombor	sombor	NOUN
ejpam-5461	131	19	indices	index	NOUN
ejpam-5461	131	20	expand	expand	VERB
ejpam-5461	131	21	a	a	DET
ejpam-5461	131	22	range	range	NOUN
ejpam-5461	131	23	of	of	ADP
ejpam-5461	131	24	indices	index	NOUN
ejpam-5461	131	25	and	and	CCONJ
ejpam-5461	131	26	contribute	contribute	VERB
ejpam-5461	131	27	to	to	ADP
ejpam-5461	131	28	the	the	DET
ejpam-5461	131	29	investigation	investigation	NOUN
ejpam-5461	131	30	of	of	ADP
ejpam-5461	131	31	the	the	DET
ejpam-5461	131	32	graph	graph	NOUN
ejpam-5461	131	33	properties	property	NOUN
ejpam-5461	131	34	.	.	PUNCT
ejpam-5461	132	1	extending	extend	VERB
ejpam-5461	132	2	the	the	DET
ejpam-5461	132	3	sombor	sombor	NOUN
ejpam-5461	132	4	indices	index	NOUN
ejpam-5461	132	5	of	of	ADP
ejpam-5461	132	6	ifgs	ifgs	NOUN
ejpam-5461	132	7	,	,	PUNCT
ejpam-5461	132	8	it	it	PRON
ejpam-5461	132	9	provides	provide	VERB
ejpam-5461	132	10	fresh	fresh	ADJ
ejpam-5461	132	11	approaches	approach	NOUN
ejpam-5461	132	12	toward	toward	ADP
ejpam-5461	132	13	uncertainty	uncertainty	NOUN
ejpam-5461	132	14	management	management	NOUN
ejpam-5461	132	15	in	in	ADP
ejpam-5461	132	16	networks	network	NOUN
ejpam-5461	132	17	and	and	CCONJ
ejpam-5461	132	18	can	can	AUX
ejpam-5461	132	19	serve	serve	VERB
ejpam-5461	132	20	as	as	ADP
ejpam-5461	132	21	a	a	DET
ejpam-5461	132	22	base	base	NOUN
ejpam-5461	132	23	for	for	ADP
ejpam-5461	132	24	potential	potential	ADJ
ejpam-5461	132	25	future	future	ADJ
ejpam-5461	132	26	studies	study	NOUN
ejpam-5461	132	27	in	in	ADP
ejpam-5461	132	28	a	a	DET
ejpam-5461	132	29	variety	variety	NOUN
ejpam-5461	132	30	of	of	ADP
ejpam-5461	132	31	diverse	diverse	ADJ
ejpam-5461	132	32	disciplines	discipline	NOUN
ejpam-5461	132	33	ranging	range	VERB
ejpam-5461	132	34	from	from	ADP
ejpam-5461	132	35	thermal	thermal	ADJ
ejpam-5461	132	36	power	power	NOUN
ejpam-5461	132	37	plant	plant	NOUN
ejpam-5461	132	38	site	site	NOUN
ejpam-5461	132	39	selection	selection	NOUN
ejpam-5461	132	40	to	to	ADP
ejpam-5461	132	41	brand	brand	NOUN
ejpam-5461	132	42	optimization	optimization	NOUN
ejpam-5461	132	43	.	.	PUNCT
ejpam-5461	133	1	1.6	1.6	NUM
ejpam-5461	133	2	.	.	PUNCT
ejpam-5461	133	3	objectives	objective	NOUN
ejpam-5461	133	4	of	of	ADP
ejpam-5461	133	5	the	the	DET
ejpam-5461	133	6	study	study	NOUN
ejpam-5461	133	7	for	for	ADP
ejpam-5461	133	8	crisp	crisp	ADJ
ejpam-5461	133	9	graphs	graph	NOUN
ejpam-5461	133	10	,	,	PUNCT
ejpam-5461	133	11	a	a	DET
ejpam-5461	133	12	wide	wide	ADJ
ejpam-5461	133	13	range	range	NOUN
ejpam-5461	133	14	of	of	ADP
ejpam-5461	133	15	topological	topological	ADJ
ejpam-5461	133	16	indices	index	NOUN
ejpam-5461	133	17	have	have	AUX
ejpam-5461	133	18	been	be	AUX
ejpam-5461	133	19	investigated	investigate	VERB
ejpam-5461	133	20	and	and	CCONJ
ejpam-5461	133	21	shown	show	VERB
ejpam-5461	133	22	to	to	PART
ejpam-5461	133	23	have	have	VERB
ejpam-5461	133	24	several	several	ADJ
ejpam-5461	133	25	uses	use	NOUN
ejpam-5461	133	26	.	.	PUNCT
ejpam-5461	134	1	however	however	ADV
ejpam-5461	134	2	,	,	PUNCT
ejpam-5461	134	3	it	it	PRON
ejpam-5461	134	4	is	be	AUX
ejpam-5461	134	5	seen	see	VERB
ejpam-5461	134	6	in	in	ADP
ejpam-5461	134	7	many	many	ADJ
ejpam-5461	134	8	real	real	ADJ
ejpam-5461	134	9	-	-	PUNCT
ejpam-5461	134	10	world	world	NOUN
ejpam-5461	134	11	applications	application	NOUN
ejpam-5461	134	12	that	that	SCONJ
ejpam-5461	134	13	many	many	ADJ
ejpam-5461	134	14	scenarios	scenario	NOUN
ejpam-5461	134	15	can	can	AUX
ejpam-5461	134	16	not	not	PART
ejpam-5461	134	17	be	be	AUX
ejpam-5461	134	18	represented	represent	VERB
ejpam-5461	134	19	by	by	ADP
ejpam-5461	134	20	crisp	crisp	ADJ
ejpam-5461	134	21	graphs	graph	NOUN
ejpam-5461	134	22	and	and	CCONJ
ejpam-5461	134	23	hence	hence	ADV
ejpam-5461	134	24	fgs	fgs	PROPN
ejpam-5461	134	25	can	can	AUX
ejpam-5461	134	26	only	only	ADV
ejpam-5461	134	27	handle	handle	VERB
ejpam-5461	134	28	mv	mv	PROPN
ejpam-5461	134	29	.	.	PUNCT
ejpam-5461	135	1	determining	determine	VERB
ejpam-5461	135	2	a	a	DET
ejpam-5461	135	3	ifgs	ifgs	NOUN
ejpam-5461	135	4	is	be	AUX
ejpam-5461	135	5	necessary	necessary	ADJ
ejpam-5461	135	6	.	.	PUNCT
ejpam-5461	136	1	to	to	PART
ejpam-5461	136	2	respond	respond	VERB
ejpam-5461	136	3	to	to	ADP
ejpam-5461	136	4	this	this	DET
ejpam-5461	136	5	query	query	NOUN
ejpam-5461	136	6	,	,	PUNCT
ejpam-5461	136	7	a	a	DET
ejpam-5461	136	8	ifgs	ifgs	NOUN
ejpam-5461	136	9	must	must	AUX
ejpam-5461	136	10	be	be	AUX
ejpam-5461	136	11	defined	define	VERB
ejpam-5461	136	12	.	.	PUNCT
ejpam-5461	137	1	the	the	DET
ejpam-5461	137	2	definition	definition	NOUN
ejpam-5461	137	3	of	of	ADP
ejpam-5461	137	4	the	the	DET
ejpam-5461	137	5	sombre	sombre	NOUN
ejpam-5461	137	6	index	index	NOUN
ejpam-5461	137	7	for	for	ADP
ejpam-5461	137	8	ifgs	ifgs	NOUN
ejpam-5461	137	9	and	and	CCONJ
ejpam-5461	137	10	certain	certain	ADJ
ejpam-5461	137	11	findings	finding	NOUN
ejpam-5461	137	12	pertaining	pertain	VERB
ejpam-5461	137	13	m.	m.	NOUN
ejpam-5461	137	14	alqahtani	alqahtani	PROPN
ejpam-5461	137	15	,	,	PUNCT
ejpam-5461	137	16	m.	m.	NOUN
ejpam-5461	137	17	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	137	18	,	,	PUNCT
ejpam-5461	137	19	m.	m.	NOUN
ejpam-5461	137	20	rajeshwari	rajeshwari	PROPN
ejpam-5461	137	21	/	/	SYM
ejpam-5461	137	22	eur	eur	PROPN
ejpam-5461	137	23	.	.	PUNCT
ejpam-5461	138	1	j.	j.	PROPN
ejpam-5461	138	2	pure	pure	PROPN
ejpam-5461	138	3	appl	appl	PROPN
ejpam-5461	138	4	.	.	PROPN
ejpam-5461	138	5	math	math	PROPN
ejpam-5461	138	6	,	,	PUNCT
ejpam-5461	138	7	17	17	NUM
ejpam-5461	138	8	(	(	PUNCT
ejpam-5461	138	9	4	4	NUM
ejpam-5461	138	10	)	)	PUNCT
ejpam-5461	138	11	(	(	PUNCT
ejpam-5461	138	12	2024	2024	NUM
ejpam-5461	138	13	)	)	PUNCT
ejpam-5461	138	14	,	,	PUNCT
ejpam-5461	138	15	2586	2586	NUM
ejpam-5461	138	16	-	-	SYM
ejpam-5461	138	17	2620	2620	NUM
ejpam-5461	138	18	2591	2591	NUM
ejpam-5461	138	19	to	to	ADP
ejpam-5461	138	20	vertex	vertex	VERB
ejpam-5461	138	21	and	and	CCONJ
ejpam-5461	138	22	edge	edge	VERB
ejpam-5461	138	23	critical	critical	ADJ
ejpam-5461	138	24	ifgs	ifgs	NOUN
ejpam-5461	138	25	are	be	AUX
ejpam-5461	138	26	presented	present	VERB
ejpam-5461	138	27	in	in	ADP
ejpam-5461	138	28	this	this	DET
ejpam-5461	138	29	work	work	NOUN
ejpam-5461	138	30	.	.	PUNCT
ejpam-5461	139	1	the	the	DET
ejpam-5461	139	2	association	association	NOUN
ejpam-5461	139	3	between	between	ADP
ejpam-5461	139	4	soi	soi	NOUN
ejpam-5461	139	5	of	of	ADP
ejpam-5461	139	6	ifgs	ifgs	PROPN
ejpam-5461	139	7	and	and	CCONJ
ejpam-5461	139	8	the	the	DET
ejpam-5461	139	9	first	first	ADJ
ejpam-5461	139	10	zagreb	zagreb	PROPN
ejpam-5461	139	11	index	index	NOUN
ejpam-5461	139	12	was	be	AUX
ejpam-5461	139	13	also	also	ADV
ejpam-5461	139	14	found	find	VERB
ejpam-5461	139	15	.	.	PUNCT
ejpam-5461	140	1	we	we	PRON
ejpam-5461	140	2	used	use	VERB
ejpam-5461	140	3	the	the	DET
ejpam-5461	140	4	first	first	ADJ
ejpam-5461	140	5	full	full	ADJ
ejpam-5461	140	6	soi	soi	NOUN
ejpam-5461	140	7	in	in	ADP
ejpam-5461	140	8	site	site	NOUN
ejpam-5461	140	9	selection	selection	NOUN
ejpam-5461	140	10	for	for	ADP
ejpam-5461	140	11	thermal	thermal	ADJ
ejpam-5461	140	12	power	power	NOUN
ejpam-5461	140	13	plants	plant	NOUN
ejpam-5461	140	14	at	at	ADP
ejpam-5461	140	15	the	the	DET
ejpam-5461	140	16	conclusion	conclusion	NOUN
ejpam-5461	140	17	of	of	ADP
ejpam-5461	140	18	this	this	DET
ejpam-5461	140	19	work	work	NOUN
ejpam-5461	140	20	.	.	PUNCT
ejpam-5461	141	1	1.7	1.7	NUM
ejpam-5461	141	2	.	.	PUNCT
ejpam-5461	141	3	structure	structure	NOUN
ejpam-5461	141	4	of	of	ADP
ejpam-5461	141	5	article	article	NOUN
ejpam-5461	141	6	the	the	DET
ejpam-5461	141	7	following	following	NOUN
ejpam-5461	141	8	describes	describe	VERB
ejpam-5461	141	9	the	the	DET
ejpam-5461	141	10	structure	structure	NOUN
ejpam-5461	141	11	of	of	ADP
ejpam-5461	141	12	this	this	DET
ejpam-5461	141	13	research	research	NOUN
ejpam-5461	141	14	article	article	NOUN
ejpam-5461	141	15	:	:	PUNCT
ejpam-5461	141	16	section	section	NOUN
ejpam-5461	141	17	2	2	NUM
ejpam-5461	141	18	:	:	PUNCT
ejpam-5461	141	19	given	give	VERB
ejpam-5461	141	20	the	the	DET
ejpam-5461	141	21	fundamental	fundamental	ADJ
ejpam-5461	141	22	ideas	idea	NOUN
ejpam-5461	141	23	behind	behind	ADP
ejpam-5461	141	24	neutrosophic	neutrosophic	ADJ
ejpam-5461	141	25	graphs	graph	NOUN
ejpam-5461	141	26	,	,	PUNCT
ejpam-5461	141	27	section	section	NOUN
ejpam-5461	141	28	3	3	NUM
ejpam-5461	141	29	proposes	propose	VERB
ejpam-5461	141	30	a	a	DET
ejpam-5461	141	31	framework	framework	NOUN
ejpam-5461	141	32	for	for	ADP
ejpam-5461	141	33	soi	soi	NOUN
ejpam-5461	141	34	of	of	ADP
ejpam-5461	141	35	ng	ng	PROPN
ejpam-5461	141	36	and	and	CCONJ
ejpam-5461	141	37	discusses	discuss	VERB
ejpam-5461	141	38	their	their	PRON
ejpam-5461	141	39	theorems	theorem	NOUN
ejpam-5461	141	40	and	and	CCONJ
ejpam-5461	141	41	example	example	NOUN
ejpam-5461	141	42	.	.	PUNCT
ejpam-5461	142	1	applications	application	NOUN
ejpam-5461	142	2	for	for	ADP
ejpam-5461	142	3	site	site	NOUN
ejpam-5461	142	4	selection	selection	NOUN
ejpam-5461	142	5	for	for	ADP
ejpam-5461	142	6	thermal	thermal	ADJ
ejpam-5461	142	7	power	power	NOUN
ejpam-5461	142	8	plant	plant	NOUN
ejpam-5461	142	9	utilizing	utilize	VERB
ejpam-5461	142	10	soi	soi	NOUN
ejpam-5461	142	11	of	of	ADP
ejpam-5461	142	12	ng	ng	PROPN
ejpam-5461	142	13	are	be	AUX
ejpam-5461	142	14	described	describe	VERB
ejpam-5461	142	15	in	in	ADP
ejpam-5461	142	16	section	section	NOUN
ejpam-5461	142	17	4	4	NUM
ejpam-5461	142	18	.	.	PUNCT
ejpam-5461	142	19	section	section	NOUN
ejpam-5461	142	20	5	5	NUM
ejpam-5461	142	21	provides	provide	VERB
ejpam-5461	142	22	findings	finding	NOUN
ejpam-5461	142	23	and	and	CCONJ
ejpam-5461	142	24	suggests	suggest	VERB
ejpam-5461	142	25	ideas	idea	NOUN
ejpam-5461	142	26	for	for	ADP
ejpam-5461	142	27	further	further	ADJ
ejpam-5461	142	28	research	research	NOUN
ejpam-5461	142	29	at	at	ADP
ejpam-5461	142	30	the	the	DET
ejpam-5461	142	31	end	end	NOUN
ejpam-5461	142	32	.	.	PUNCT
ejpam-5461	143	1	several	several	ADJ
ejpam-5461	143	2	symbols	symbol	NOUN
ejpam-5461	143	3	and	and	CCONJ
ejpam-5461	143	4	their	their	PRON
ejpam-5461	143	5	associated	associated	ADJ
ejpam-5461	143	6	meanings	meaning	NOUN
ejpam-5461	143	7	are	be	AUX
ejpam-5461	143	8	often	often	ADV
ejpam-5461	143	9	used	use	VERB
ejpam-5461	143	10	in	in	ADP
ejpam-5461	143	11	this	this	DET
ejpam-5461	143	12	text	text	NOUN
ejpam-5461	143	13	.	.	PUNCT
ejpam-5461	144	1	table	table	NOUN
ejpam-5461	144	2	1	1	NUM
ejpam-5461	144	3	below	below	ADV
ejpam-5461	144	4	provides	provide	VERB
ejpam-5461	144	5	a	a	DET
ejpam-5461	144	6	summary	summary	NOUN
ejpam-5461	144	7	of	of	ADP
ejpam-5461	144	8	these	these	DET
ejpam-5461	144	9	symbols	symbol	NOUN
ejpam-5461	144	10	together	together	ADV
ejpam-5461	144	11	with	with	ADP
ejpam-5461	144	12	their	their	PRON
ejpam-5461	144	13	explanations	explanation	NOUN
ejpam-5461	144	14	:	:	PUNCT
ejpam-5461	144	15	symbols	symbol	NOUN
ejpam-5461	144	16	abbreviations	abbreviation	NOUN
ejpam-5461	144	17	symbols	symbol	NOUN
ejpam-5461	144	18	abbreviations	abbreviation	NOUN
ejpam-5461	144	19	soi	soi	ADJ
ejpam-5461	144	20	sombor	sombor	NOUN
ejpam-5461	144	21	index	index	NOUN
ejpam-5461	144	22	ngs	ng	NOUN
ejpam-5461	144	23	neutrosophic	neutrosophic	ADJ
ejpam-5461	144	24	graphs	graph	VERB
ejpam-5461	144	25	nfzi	nfzi	PROPN
ejpam-5461	144	26	neutrosophic	neutrosophic	PROPN
ejpam-5461	144	27	first	first	PROPN
ejpam-5461	144	28	zagreb	zagreb	PROPN
ejpam-5461	144	29	index	index	PROPN
ejpam-5461	144	30	nszi	nszi	PROPN
ejpam-5461	144	31	neutrosophic	neutrosophic	PROPN
ejpam-5461	144	32	second	second	PROPN
ejpam-5461	144	33	zagreb	zagreb	PROPN
ejpam-5461	144	34	index	index	NOUN
ejpam-5461	144	35	fss	fss	PROPN
ejpam-5461	144	36	fuzzy	fuzzy	ADJ
ejpam-5461	144	37	sets	set	VERB
ejpam-5461	144	38	fgs	fgs	NUM
ejpam-5461	144	39	fuzzy	fuzzy	ADJ
ejpam-5461	144	40	graph	graph	NOUN
ejpam-5461	144	41	mv	mv	PROPN
ejpam-5461	144	42	membership	membership	NOUN
ejpam-5461	144	43	value	value	NOUN
ejpam-5461	144	44	ifgs	ifg	VERB
ejpam-5461	144	45	intuitionistic	intuitionistic	ADJ
ejpam-5461	144	46	fuzzy	fuzzy	ADJ
ejpam-5461	144	47	graphs	graph	NOUN
ejpam-5461	144	48	ifss	ifss	ADJ
ejpam-5461	144	49	intuitionistic	intuitionistic	ADJ
ejpam-5461	144	50	fuzzy	fuzzy	ADJ
ejpam-5461	144	51	sets	set	NOUN
ejpam-5461	144	52	nmv	nmv	PROPN
ejpam-5461	144	53	non	non	PROPN
ejpam-5461	144	54	membership	membership	PROPN
ejpam-5461	144	55	value	value	NOUN
ejpam-5461	144	56	nss	nss	NOUN
ejpam-5461	144	57	neutrosophic	neutrosophic	ADJ
ejpam-5461	144	58	sets	set	VERB
ejpam-5461	144	59	ngs	ng	NOUN
ejpam-5461	144	60	neutrosophic	neutrosophic	ADJ
ejpam-5461	144	61	graphs	graph	NOUN
ejpam-5461	144	62	t	t	PROPN
ejpam-5461	144	63	mn	mn	PROPN
ejpam-5461	144	64	truth	truth	NOUN
ejpam-5461	144	65	membership	membership	NOUN
ejpam-5461	144	66	value	value	NOUN
ejpam-5461	144	67	imn	imn	PROPN
ejpam-5461	144	68	indeterminacy	indeterminacy	PROPN
ejpam-5461	144	69	membership	membership	NOUN
ejpam-5461	144	70	value	value	NOUN
ejpam-5461	144	71	fmn	fmn	ADJ
ejpam-5461	144	72	falsity	falsity	NOUN
ejpam-5461	144	73	membership	membership	NOUN
ejpam-5461	144	74	value	value	NOUN
ejpam-5461	144	75	nsoi	nsoi	VERB
ejpam-5461	144	76	neutrosophic	neutrosophic	ADJ
ejpam-5461	144	77	sombor	sombor	NOUN
ejpam-5461	144	78	index	index	NOUN
ejpam-5461	144	79	nsoi	nsoi	VERB
ejpam-5461	144	80	neutrosophic	neutrosophic	ADJ
ejpam-5461	144	81	sombor	sombor	NOUN
ejpam-5461	144	82	index	index	NOUN
ejpam-5461	144	83	tsoi	tsoi	PROPN
ejpam-5461	144	84	truth	truth	NOUN
ejpam-5461	144	85	sombor	sombor	NOUN
ejpam-5461	144	86	index	index	PROPN
ejpam-5461	144	87	isoi	isoi	PROPN
ejpam-5461	144	88	indeterminacy	indeterminacy	NOUN
ejpam-5461	144	89	sombor	sombor	NOUN
ejpam-5461	144	90	index	index	NOUN
ejpam-5461	144	91	fsoi	fsoi	PROPN
ejpam-5461	144	92	falsity	falsity	NOUN
ejpam-5461	144	93	sombor	sombor	NOUN
ejpam-5461	144	94	index	index	NOUN
ejpam-5461	144	95	tfzi	tfzi	ADJ
ejpam-5461	144	96	truth	truth	NOUN
ejpam-5461	144	97	first	first	PROPN
ejpam-5461	144	98	zagreb	zagreb	PROPN
ejpam-5461	144	99	index	index	PROPN
ejpam-5461	144	100	ifzi	ifzi	PROPN
ejpam-5461	144	101	indeterminacy	indeterminacy	PROPN
ejpam-5461	144	102	first	first	PROPN
ejpam-5461	144	103	zagreb	zagreb	PROPN
ejpam-5461	144	104	index	index	PROPN
ejpam-5461	144	105	ffzi	ffzi	PROPN
ejpam-5461	144	106	falsity	falsity	NOUN
ejpam-5461	144	107	first	first	PROPN
ejpam-5461	144	108	zagreb	zagreb	PROPN
ejpam-5461	144	109	index	index	NOUN
ejpam-5461	144	110	table	table	NOUN
ejpam-5461	144	111	1	1	NUM
ejpam-5461	144	112	:	:	PUNCT
ejpam-5461	144	113	list	list	NOUN
ejpam-5461	144	114	of	of	ADP
ejpam-5461	144	115	symbols	symbol	NOUN
ejpam-5461	144	116	and	and	CCONJ
ejpam-5461	144	117	abbreviations	abbreviation	NOUN
ejpam-5461	144	118	.	.	PUNCT
ejpam-5461	145	1	2	2	X
ejpam-5461	145	2	.	.	X
ejpam-5461	145	3	preliminaries	preliminary	NOUN
ejpam-5461	145	4	definition	definition	NOUN
ejpam-5461	145	5	1	1	NUM
ejpam-5461	145	6	.	.	PUNCT
ejpam-5461	146	1	[	[	X
ejpam-5461	146	2	26	26	NUM
ejpam-5461	146	3	]	]	PUNCT
ejpam-5461	146	4	consider	consider	VERB
ejpam-5461	146	5	a	a	DET
ejpam-5461	146	6	simple	simple	ADJ
ejpam-5461	146	7	graph	graph	NOUN
ejpam-5461	146	8	g	g	PROPN
ejpam-5461	146	9	=	=	SYM
ejpam-5461	146	10	(	(	PUNCT
ejpam-5461	146	11	v	v	NOUN
ejpam-5461	146	12	,	,	PUNCT
ejpam-5461	146	13	e	e	NOUN
ejpam-5461	146	14	)	)	PUNCT
ejpam-5461	146	15	.	.	PUNCT
ejpam-5461	147	1	let	let	VERB
ejpam-5461	147	2	dα	dα	NOUN
ejpam-5461	147	3	represent	represent	VERB
ejpam-5461	147	4	the	the	DET
ejpam-5461	147	5	degree	degree	NOUN
ejpam-5461	147	6	of	of	ADP
ejpam-5461	147	7	the	the	DET
ejpam-5461	147	8	vertex	vertex	NOUN
ejpam-5461	147	9	α	α	X
ejpam-5461	147	10	∈	∈	PROPN
ejpam-5461	147	11	v(g	v(g	PROPN
ejpam-5461	147	12	)	)	PUNCT
ejpam-5461	147	13	.	.	PUNCT
ejpam-5461	148	1	i.gutman	i.gutman	PROPN
ejpam-5461	148	2	developed	develop	VERB
ejpam-5461	148	3	a	a	DET
ejpam-5461	148	4	new	new	ADJ
ejpam-5461	148	5	vertex	vertex	NOUN
ejpam-5461	148	6	-	-	PUNCT
ejpam-5461	148	7	degree	degree	NOUN
ejpam-5461	148	8	-	-	PUNCT
ejpam-5461	148	9	based	base	VERB
ejpam-5461	148	10	topological	topological	ADJ
ejpam-5461	148	11	index	index	NOUN
ejpam-5461	148	12	called	call	VERB
ejpam-5461	148	13	soi	soi	NOUN
ejpam-5461	148	14	,	,	PUNCT
ejpam-5461	148	15	which	which	PRON
ejpam-5461	148	16	is	be	AUX
ejpam-5461	148	17	defined	define	VERB
ejpam-5461	148	18	as	as	SCONJ
ejpam-5461	148	19	follows	follow	VERB
ejpam-5461	148	20	:	:	PUNCT
ejpam-5461	148	21	soi(g	soi(g	X
ejpam-5461	148	22	)	)	PUNCT
ejpam-5461	149	1	=	=	PUNCT
ejpam-5461	149	2	∑	∑	PUNCT
ejpam-5461	149	3	α	α	X
ejpam-5461	149	4	,	,	PUNCT
ejpam-5461	149	5	β∈e(g	β∈e(g	NUM
ejpam-5461	149	6	)	)	PUNCT
ejpam-5461	150	1	=	=	PUNCT
ejpam-5461	151	1	√	√	PROPN
ejpam-5461	151	2	(	(	PUNCT
ejpam-5461	151	3	dα)2	dα)2	PROPN
ejpam-5461	151	4	+	+	CCONJ
ejpam-5461	151	5	(	(	PUNCT
ejpam-5461	151	6	dβ)2	dβ)2	NOUN
ejpam-5461	151	7	.	.	PUNCT
ejpam-5461	151	8	definition	definition	NOUN
ejpam-5461	151	9	2	2	NUM
ejpam-5461	151	10	.	.	PUNCT
ejpam-5461	152	1	[	[	X
ejpam-5461	152	2	59	59	NUM
ejpam-5461	152	3	]	]	PUNCT
ejpam-5461	152	4	assume	assume	VERB
ejpam-5461	152	5	d	d	X
ejpam-5461	152	6	is	be	AUX
ejpam-5461	152	7	a	a	DET
ejpam-5461	152	8	universal	universal	ADJ
ejpam-5461	152	9	set	set	NOUN
ejpam-5461	152	10	.	.	PUNCT
ejpam-5461	153	1	a	a	DET
ejpam-5461	153	2	fuzzy	fuzzy	ADJ
ejpam-5461	153	3	set	set	NOUN
ejpam-5461	153	4	s	s	PRON
ejpam-5461	153	5	on	on	ADP
ejpam-5461	153	6	d	d	PROPN
ejpam-5461	153	7	is	be	AUX
ejpam-5461	153	8	a	a	DET
ejpam-5461	153	9	mapping	mapping	NOUN
ejpam-5461	153	10	σ	σ	NOUN
ejpam-5461	153	11	:	:	PUNCT
ejpam-5461	154	1	d	d	X
ejpam-5461	154	2	→	→	SYM
ejpam-5461	155	1	[	[	X
ejpam-5461	155	2	0	0	NUM
ejpam-5461	155	3	,	,	PUNCT
ejpam-5461	155	4	1	1	NUM
ejpam-5461	155	5	]	]	PUNCT
ejpam-5461	155	6	.	.	PUNCT
ejpam-5461	156	1	σ	σ	NOUN
ejpam-5461	156	2	represents	represent	VERB
ejpam-5461	156	3	the	the	DET
ejpam-5461	156	4	fuzzy	fuzzy	ADJ
ejpam-5461	156	5	set	set	NOUN
ejpam-5461	156	6	s	s	PART
ejpam-5461	156	7	membership	membership	NOUN
ejpam-5461	156	8	function	function	NOUN
ejpam-5461	156	9	.	.	PUNCT
ejpam-5461	157	1	s	s	PART
ejpam-5461	158	1	=	=	SYM
ejpam-5461	158	2	(	(	PUNCT
ejpam-5461	158	3	u	u	PROPN
ejpam-5461	158	4	,	,	PUNCT
ejpam-5461	158	5	σ	σ	PROPN
ejpam-5461	158	6	)	)	PUNCT
ejpam-5461	158	7	represents	represent	VERB
ejpam-5461	158	8	a	a	DET
ejpam-5461	158	9	fs	fs	NOUN
ejpam-5461	158	10	.	.	NOUN
ejpam-5461	158	11	definition	definition	NOUN
ejpam-5461	158	12	3	3	NUM
ejpam-5461	158	13	.	.	PUNCT
ejpam-5461	159	1	[	[	X
ejpam-5461	159	2	50	50	NUM
ejpam-5461	159	3	]	]	PUNCT
ejpam-5461	159	4	given	give	VERB
ejpam-5461	159	5	a	a	DET
ejpam-5461	159	6	fg	fg	NOUN
ejpam-5461	159	7	such	such	ADJ
ejpam-5461	159	8	that	that	SCONJ
ejpam-5461	159	9	(	(	PUNCT
ejpam-5461	159	10	g,⊒	g,⊒	NOUN
ejpam-5461	159	11	,	,	PUNCT
ejpam-5461	159	12	σ	σ	PROPN
ejpam-5461	159	13	)	)	PUNCT
ejpam-5461	159	14	,	,	PUNCT
ejpam-5461	159	15	the	the	DET
ejpam-5461	159	16	soi	soi	NOUN
ejpam-5461	159	17	of	of	ADP
ejpam-5461	159	18	fg	fg	PROPN
ejpam-5461	159	19	is	be	AUX
ejpam-5461	159	20	stated	state	VERB
ejpam-5461	159	21	that	that	SCONJ
ejpam-5461	159	22	by	by	ADP
ejpam-5461	159	23	m.	m.	PROPN
ejpam-5461	159	24	alqahtani	alqahtani	PROPN
ejpam-5461	159	25	,	,	PUNCT
ejpam-5461	159	26	m.	m.	NOUN
ejpam-5461	159	27	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	159	28	,	,	PUNCT
ejpam-5461	159	29	m.	m.	NOUN
ejpam-5461	159	30	rajeshwari	rajeshwari	PROPN
ejpam-5461	159	31	/	/	SYM
ejpam-5461	159	32	eur	eur	PROPN
ejpam-5461	159	33	.	.	PUNCT
ejpam-5461	160	1	j.	j.	PROPN
ejpam-5461	160	2	pure	pure	PROPN
ejpam-5461	160	3	appl	appl	PROPN
ejpam-5461	160	4	.	.	PROPN
ejpam-5461	160	5	math	math	PROPN
ejpam-5461	160	6	,	,	PUNCT
ejpam-5461	160	7	17	17	NUM
ejpam-5461	160	8	(	(	PUNCT
ejpam-5461	160	9	4	4	NUM
ejpam-5461	160	10	)	)	PUNCT
ejpam-5461	160	11	(	(	PUNCT
ejpam-5461	160	12	2024	2024	NUM
ejpam-5461	160	13	)	)	PUNCT
ejpam-5461	160	14	,	,	PUNCT
ejpam-5461	160	15	2586	2586	NUM
ejpam-5461	160	16	-	-	SYM
ejpam-5461	160	17	2620	2620	NUM
ejpam-5461	160	18	2592	2592	NUM
ejpam-5461	160	19	soi(g	soi(g	PROPN
ejpam-5461	160	20	)	)	PUNCT
ejpam-5461	160	21	=	=	SYM
ejpam-5461	160	22	∑	∑	PUNCT
ejpam-5461	160	23	α	α	X
ejpam-5461	160	24	,	,	PUNCT
ejpam-5461	160	25	β∈e(g	β∈e(g	PROPN
ejpam-5461	160	26	)	)	PUNCT
ejpam-5461	160	27	√	√	PROPN
ejpam-5461	161	1	(	(	PUNCT
ejpam-5461	161	2	ϖ(α)dg(α))2	ϖ(α)dg(α))2	NOUN
ejpam-5461	161	3	+	+	CCONJ
ejpam-5461	161	4	(	(	PUNCT
ejpam-5461	161	5	ϖ(β)dg(β))2	ϖ(β)dg(β))2	X
ejpam-5461	161	6	.	.	PUNCT
ejpam-5461	162	1	definition	definition	NOUN
ejpam-5461	162	2	4	4	NUM
ejpam-5461	162	3	.	.	PUNCT
ejpam-5461	163	1	[	[	X
ejpam-5461	163	2	28	28	NUM
ejpam-5461	163	3	]	]	X
ejpam-5461	163	4	if	if	SCONJ
ejpam-5461	163	5	g	g	PROPN
ejpam-5461	163	6	=	=	SYM
ejpam-5461	163	7	(	(	PUNCT
ejpam-5461	163	8	v	v	NOUN
ejpam-5461	163	9	,	,	PUNCT
ejpam-5461	163	10	w	w	PROPN
ejpam-5461	163	11	,	,	PUNCT
ejpam-5461	163	12	p	p	NOUN
ejpam-5461	163	13	)	)	PUNCT
ejpam-5461	163	14	is	be	AUX
ejpam-5461	163	15	a	a	DET
ejpam-5461	163	16	fg	fg	NOUN
ejpam-5461	163	17	,	,	PUNCT
ejpam-5461	163	18	the	the	DET
ejpam-5461	163	19	first	first	ADJ
ejpam-5461	163	20	zagreb	zagreb	PROPN
ejpam-5461	163	21	index	index	NOUN
ejpam-5461	163	22	for	for	ADP
ejpam-5461	163	23	fgs	fgs	PROPN
ejpam-5461	163	24	is	be	AUX
ejpam-5461	163	25	stated	state	VERB
ejpam-5461	163	26	below	below	ADP
ejpam-5461	163	27	:	:	PUNCT
ejpam-5461	163	28	nfzi(g	nfzi(g	PROPN
ejpam-5461	163	29	)	)	PUNCT
ejpam-5461	164	1	=	=	SYM
ejpam-5461	164	2	∑m	∑m	ADJ
ejpam-5461	164	3	i=1[ϖ(βi)dg(βi	i=1[ϖ(βi)dg(βi	PROPN
ejpam-5461	164	4	)	)	PUNCT
ejpam-5461	164	5	]	]	PUNCT
ejpam-5461	164	6	2	2	X
ejpam-5461	164	7	.	.	X
ejpam-5461	164	8	definition	definition	NOUN
ejpam-5461	164	9	5	5	NUM
ejpam-5461	164	10	.	.	PUNCT
ejpam-5461	165	1	[	[	X
ejpam-5461	165	2	31	31	NUM
ejpam-5461	165	3	]	]	PUNCT
ejpam-5461	165	4	let	let	VERB
ejpam-5461	165	5	’s	’s	PRON
ejpam-5461	165	6	call	call	VERB
ejpam-5461	165	7	g	g	PRON
ejpam-5461	165	8	a	a	DET
ejpam-5461	165	9	fg	fg	NOUN
ejpam-5461	165	10	.	.	PUNCT
ejpam-5461	166	1	the	the	DET
ejpam-5461	166	2	fuzzy	fuzzy	ADJ
ejpam-5461	166	3	entire	entire	ADJ
ejpam-5461	166	4	zagreb	zagreb	PROPN
ejpam-5461	166	5	index	index	NOUN
ejpam-5461	166	6	of	of	ADP
ejpam-5461	166	7	g	g	PROPN
ejpam-5461	166	8	is	be	AUX
ejpam-5461	166	9	denoted	denote	VERB
ejpam-5461	166	10	by	by	ADP
ejpam-5461	166	11	m	m	PROPN
ejpam-5461	166	12	z	z	PROPN
ejpam-5461	166	13	1	1	NUM
ejpam-5461	166	14	,	,	PUNCT
ejpam-5461	166	15	which	which	PRON
ejpam-5461	166	16	is	be	AUX
ejpam-5461	166	17	defined	define	VERB
ejpam-5461	166	18	as	as	ADP
ejpam-5461	166	19	m	m	PROPN
ejpam-5461	166	20	z	z	NOUN
ejpam-5461	166	21	1	1	NUM
ejpam-5461	166	22	:	:	PUNCT
ejpam-5461	166	23	∑	∑	PUNCT
ejpam-5461	166	24	β∈v	β∈v	NOUN
ejpam-5461	166	25	(	(	PUNCT
ejpam-5461	166	26	g)(ϖ(β)d(β))2	g)(ϖ(β)d(β))2	NOUN
ejpam-5461	166	27	+	+	CCONJ
ejpam-5461	166	28	∑	∑	PROPN
ejpam-5461	166	29	ϱ∈e(g)(e(ϱ)d(ϱ	ϱ∈e(g)(e(ϱ)d(ϱ	NOUN
ejpam-5461	166	30	)	)	PUNCT
ejpam-5461	166	31	)	)	PUNCT
ejpam-5461	167	1	2	2	X
ejpam-5461	167	2	.	.	X
ejpam-5461	167	3	definition	definition	NOUN
ejpam-5461	167	4	6	6	NUM
ejpam-5461	167	5	.	.	PUNCT
ejpam-5461	168	1	[	[	X
ejpam-5461	168	2	31	31	NUM
ejpam-5461	168	3	]	]	X
ejpam-5461	168	4	let	let	VERB
ejpam-5461	168	5	(	(	PUNCT
ejpam-5461	168	6	g,⊒	g,⊒	NOUN
ejpam-5461	168	7	,	,	PUNCT
ejpam-5461	168	8	σ	σ	PROPN
ejpam-5461	168	9	)	)	PUNCT
ejpam-5461	168	10	be	be	VERB
ejpam-5461	168	11	an	an	DET
ejpam-5461	168	12	fg	fg	NOUN
ejpam-5461	168	13	.	.	PUNCT
ejpam-5461	169	1	the	the	DET
ejpam-5461	169	2	second	second	ADJ
ejpam-5461	169	3	entire	entire	ADJ
ejpam-5461	169	4	zagreb	zagreb	PROPN
ejpam-5461	169	5	index	index	NOUN
ejpam-5461	169	6	of	of	ADP
ejpam-5461	169	7	g	g	PROPN
ejpam-5461	169	8	is	be	AUX
ejpam-5461	169	9	indicated	indicate	VERB
ejpam-5461	169	10	by	by	ADP
ejpam-5461	169	11	m	m	PROPN
ejpam-5461	169	12	z	z	PROPN
ejpam-5461	169	13	2	2	NUM
ejpam-5461	169	14	and	and	CCONJ
ejpam-5461	169	15	its	its	PRON
ejpam-5461	169	16	defined	define	VERB
ejpam-5461	169	17	by	by	ADP
ejpam-5461	169	18	m	m	PROPN
ejpam-5461	169	19	z	z	PROPN
ejpam-5461	169	20	2	2	NUM
ejpam-5461	169	21	:	:	PUNCT
ejpam-5461	169	22	∑	∑	PROPN
ejpam-5461	169	23	α	α	X
ejpam-5461	169	24	,	,	PUNCT
ejpam-5461	169	25	β	β	X
ejpam-5461	169	26	is	be	AUX
ejpam-5461	169	27	adjacent	adjacent	ADJ
ejpam-5461	169	28	to	to	ADP
ejpam-5461	169	29	eachother(w(α)d(α)w(β)d(β	eachother(w(α)d(α)w(β)d(β	PROPN
ejpam-5461	169	30	)	)	PUNCT
ejpam-5461	169	31	)	)	PUNCT
ejpam-5461	170	1	+	+	ADP
ejpam-5461	170	2	∑	∑	NOUN
ejpam-5461	170	3	β	β	X
ejpam-5461	170	4	is	be	AUX
ejpam-5461	170	5	incidente	incidente	ADJ
ejpam-5461	170	6	to	to	ADP
ejpam-5461	170	7	each	each	DET
ejpam-5461	170	8	orther(w(β)d(β)e(ϱ)d(ϱ	orther(w(β)d(β)e(ϱ)d(ϱ	NOUN
ejpam-5461	170	9	)	)	PUNCT
ejpam-5461	170	10	)	)	PUNCT
ejpam-5461	170	11	,	,	PUNCT
ejpam-5461	170	12	where	where	SCONJ
ejpam-5461	170	13	w	w	NOUN
ejpam-5461	170	14	is	be	AUX
ejpam-5461	170	15	the	the	DET
ejpam-5461	170	16	mv	mv	PROPN
ejpam-5461	170	17	of	of	ADP
ejpam-5461	170	18	a	a	DET
ejpam-5461	170	19	vertex	vertex	NOUN
ejpam-5461	170	20	and	and	CCONJ
ejpam-5461	170	21	e	e	NOUN
ejpam-5461	170	22	is	be	AUX
ejpam-5461	170	23	the	the	DET
ejpam-5461	170	24	mv	mv	PROPN
ejpam-5461	170	25	of	of	ADP
ejpam-5461	170	26	an	an	DET
ejpam-5461	170	27	edge	edge	NOUN
ejpam-5461	170	28	.	.	PUNCT
ejpam-5461	171	1	definition	definition	NOUN
ejpam-5461	171	2	7	7	NUM
ejpam-5461	171	3	.	.	PUNCT
ejpam-5461	172	1	[	[	X
ejpam-5461	172	2	4	4	NUM
ejpam-5461	172	3	]	]	SYM
ejpam-5461	172	4	1	1	NUM
ejpam-5461	172	5	.	.	X
ejpam-5461	172	6	a	a	DET
ejpam-5461	172	7	ng	ng	PROPN
ejpam-5461	172	8	indicated	indicate	VERB
ejpam-5461	172	9	as	as	ADP
ejpam-5461	172	10	g	g	PROPN
ejpam-5461	172	11	=	=	PUNCT
ejpam-5461	172	12	(	(	PUNCT
ejpam-5461	172	13	(	(	PUNCT
ejpam-5461	172	14	τα1	τα1	NOUN
ejpam-5461	172	15	,	,	PUNCT
ejpam-5461	172	16	ıα2,𭟋α3	ıα2,𭟋α3	PROPN
ejpam-5461	172	17	)	)	PUNCT
ejpam-5461	172	18	,	,	PUNCT
ejpam-5461	172	19	(	(	PUNCT
ejpam-5461	172	20	τβ1	τβ1	PROPN
ejpam-5461	172	21	,	,	PUNCT
ejpam-5461	172	22	ıβ2,𭟋β3	ıβ2,𭟋β3	PROPN
ejpam-5461	172	23	)	)	PUNCT
ejpam-5461	172	24	)	)	PUNCT
ejpam-5461	172	25	is	be	AUX
ejpam-5461	172	26	symbolized	symbolize	VERB
ejpam-5461	172	27	as	as	ADP
ejpam-5461	172	28	g∗	g∗	PROPN
ejpam-5461	172	29	=	=	SYM
ejpam-5461	172	30	(	(	PUNCT
ejpam-5461	172	31	v	v	NOUN
ejpam-5461	172	32	,	,	PUNCT
ejpam-5461	172	33	e	e	NOUN
ejpam-5461	172	34	)	)	PUNCT
ejpam-5461	172	35	,	,	PUNCT
ejpam-5461	172	36	where	where	SCONJ
ejpam-5461	172	37	v	v	NOUN
ejpam-5461	172	38	is	be	AUX
ejpam-5461	172	39	the	the	DET
ejpam-5461	172	40	set	set	NOUN
ejpam-5461	172	41	of	of	ADP
ejpam-5461	172	42	vertices	vertex	NOUN
ejpam-5461	172	43	and	and	CCONJ
ejpam-5461	172	44	eis	eis	PRON
ejpam-5461	172	45	the	the	DET
ejpam-5461	172	46	collection	collection	NOUN
ejpam-5461	172	47	of	of	ADP
ejpam-5461	172	48	edges	edge	NOUN
ejpam-5461	172	49	.	.	PUNCT
ejpam-5461	173	1	the	the	DET
ejpam-5461	173	2	functions	function	NOUN
ejpam-5461	173	3	τα1	τα1	PROPN
ejpam-5461	173	4	,	,	PUNCT
ejpam-5461	173	5	ıα2	ıα2	NOUN
ejpam-5461	173	6	and	and	CCONJ
ejpam-5461	173	7	𭟋α3	𭟋α3	PROPN
ejpam-5461	173	8	are	be	AUX
ejpam-5461	173	9	mappings	mapping	NOUN
ejpam-5461	173	10	from	from	ADP
ejpam-5461	173	11	v	v	NUM
ejpam-5461	173	12	to	to	ADP
ejpam-5461	173	13	the	the	DET
ejpam-5461	173	14	closed	closed	ADJ
ejpam-5461	173	15	interval	interval	NOUN
ejpam-5461	173	16	[	[	X
ejpam-5461	173	17	0	0	NUM
ejpam-5461	173	18	,	,	PUNCT
ejpam-5461	173	19	1	1	NUM
ejpam-5461	173	20	]	]	PUNCT
ejpam-5461	173	21	,	,	PUNCT
ejpam-5461	173	22	various	various	ADJ
ejpam-5461	173	23	degrees	degree	NOUN
ejpam-5461	173	24	of	of	ADP
ejpam-5461	173	25	mv	mv	PROPN
ejpam-5461	173	26	,	,	PUNCT
ejpam-5461	173	27	iv	iv	NUM
ejpam-5461	173	28	and	and	CCONJ
ejpam-5461	173	29	nmv	nmv	NOUN
ejpam-5461	173	30	,	,	PUNCT
ejpam-5461	173	31	accordingly	accordingly	ADV
ejpam-5461	173	32	,	,	PUNCT
ejpam-5461	173	33	for	for	ADP
ejpam-5461	173	34	each	each	DET
ejpam-5461	173	35	element	element	NOUN
ejpam-5461	173	36	yi	yi	NOUN
ejpam-5461	173	37	∈	∈	PROPN
ejpam-5461	173	38	v.	v.	ADP
ejpam-5461	173	39	it	it	PRON
ejpam-5461	173	40	holds	hold	VERB
ejpam-5461	173	41	that	that	SCONJ
ejpam-5461	173	42	0	0	NUM
ejpam-5461	173	43	≤	≤	NUM
ejpam-5461	173	44	τα1(yi	τα1(yi	PUNCT
ejpam-5461	173	45	)	)	PUNCT
ejpam-5461	173	46	+	+	CCONJ
ejpam-5461	173	47	ıα2(yi	ıα2(yi	PRON
ejpam-5461	173	48	)	)	PUNCT
ejpam-5461	173	49	+	+	NOUN
ejpam-5461	173	50	𭟋α3(yi	𭟋α3(yi	NOUN
ejpam-5461	173	51	)	)	PUNCT
ejpam-5461	173	52	≤	≤	ADV
ejpam-5461	173	53	3	3	NUM
ejpam-5461	173	54	for	for	ADP
ejpam-5461	173	55	all	all	DET
ejpam-5461	173	56	yi	yi	NOUN
ejpam-5461	173	57	∈	∈	PROPN
ejpam-5461	173	58	v.	v.	ADP
ejpam-5461	173	59	2	2	NUM
ejpam-5461	173	60	.	.	PUNCT
ejpam-5461	174	1	furthermore	furthermore	ADV
ejpam-5461	174	2	in	in	ADP
ejpam-5461	174	3	the	the	DET
ejpam-5461	174	4	framework	framework	NOUN
ejpam-5461	174	5	of	of	ADP
ejpam-5461	174	6	g∗	g∗	PROPN
ejpam-5461	174	7	,	,	PUNCT
ejpam-5461	174	8	the	the	DET
ejpam-5461	174	9	functions	function	NOUN
ejpam-5461	174	10	τβ1	τβ1	VERB
ejpam-5461	174	11	,	,	PUNCT
ejpam-5461	174	12	ıβ2	ıβ2	ADV
ejpam-5461	174	13	and	and	CCONJ
ejpam-5461	174	14	𭟋β3	𭟋β3	PROPN
ejpam-5461	174	15	are	be	AUX
ejpam-5461	174	16	mappings	mapping	NOUN
ejpam-5461	174	17	from	from	ADP
ejpam-5461	174	18	v	v	NUM
ejpam-5461	174	19	×	×	NOUN
ejpam-5461	174	20	v	v	NOUN
ejpam-5461	174	21	to	to	ADP
ejpam-5461	174	22	the	the	DET
ejpam-5461	174	23	closed	closed	ADJ
ejpam-5461	174	24	interval	interval	NOUN
ejpam-5461	174	25	[	[	X
ejpam-5461	174	26	0	0	NUM
ejpam-5461	174	27	,	,	PUNCT
ejpam-5461	174	28	1	1	NUM
ejpam-5461	174	29	]	]	PUNCT
ejpam-5461	174	30	,	,	PUNCT
ejpam-5461	174	31	representing	represent	VERB
ejpam-5461	174	32	the	the	DET
ejpam-5461	174	33	degrees	degree	NOUN
ejpam-5461	174	34	of	of	ADP
ejpam-5461	174	35	mv	mv	PROPN
ejpam-5461	174	36	,	,	PUNCT
ejpam-5461	174	37	iv	iv	PROPN
ejpam-5461	174	38	and	and	CCONJ
ejpam-5461	174	39	nmv	nmv	NOUN
ejpam-5461	174	40	,	,	PUNCT
ejpam-5461	174	41	accordingly	accordingly	ADV
ejpam-5461	174	42	for	for	ADP
ejpam-5461	174	43	each	each	DET
ejpam-5461	174	44	edge	edge	NOUN
ejpam-5461	174	45	.	.	PUNCT
ejpam-5461	175	1	(	(	PUNCT
ejpam-5461	175	2	yi	yi	PROPN
ejpam-5461	175	3	,	,	PUNCT
ejpam-5461	175	4	yj	yj	PROPN
ejpam-5461	175	5	)	)	PUNCT
ejpam-5461	175	6	∈	∈	PROPN
ejpam-5461	175	7	e.	e.	PROPN
ejpam-5461	175	8	τβ1(yi	τβ1(yi	PROPN
ejpam-5461	175	9	,	,	PUNCT
ejpam-5461	175	10	yj	yj	PROPN
ejpam-5461	175	11	)	)	PUNCT
ejpam-5461	175	12	≤	≤	NOUN
ejpam-5461	175	13	τα1(yi	τα1(yi	PUNCT
ejpam-5461	175	14	)	)	PUNCT
ejpam-5461	175	15	∧	∧	NOUN
ejpam-5461	175	16	τα1(yj	τα1(yj	NOUN
ejpam-5461	175	17	)	)	PUNCT
ejpam-5461	175	18	,	,	PUNCT
ejpam-5461	175	19	ıβ1(yi	ıβ1(yi	PROPN
ejpam-5461	175	20	,	,	PUNCT
ejpam-5461	175	21	yj	yj	PROPN
ejpam-5461	175	22	)	)	PUNCT
ejpam-5461	175	23	≤	≤	NOUN
ejpam-5461	175	24	ıα1(yi	ıα1(yi	NUM
ejpam-5461	175	25	)	)	PUNCT
ejpam-5461	175	26	∧	∧	PROPN
ejpam-5461	175	27	ıα1(yj	ıα1(yj	PROPN
ejpam-5461	175	28	)	)	PUNCT
ejpam-5461	175	29	,	,	PUNCT
ejpam-5461	175	30	𭟋β1(yi	𭟋β1(yi	PROPN
ejpam-5461	175	31	,	,	PUNCT
ejpam-5461	175	32	yj	yj	PROPN
ejpam-5461	175	33	)	)	PUNCT
ejpam-5461	175	34	≥	≥	NOUN
ejpam-5461	175	35	𭟋α1(yi	𭟋α1(yi	NOUN
ejpam-5461	175	36	)	)	PUNCT
ejpam-5461	175	37	∧	∧	PROPN
ejpam-5461	175	38	fα1(yj	fα1(yj	NOUN
ejpam-5461	175	39	)	)	PUNCT
ejpam-5461	175	40	,	,	PUNCT
ejpam-5461	175	41	0	0	NUM
ejpam-5461	175	42	≤	≤	NUM
ejpam-5461	175	43	τβ1(yi	τβ1(yi	PUNCT
ejpam-5461	175	44	,	,	PUNCT
ejpam-5461	175	45	yj	yj	PROPN
ejpam-5461	175	46	)	)	PUNCT
ejpam-5461	175	47	+	+	CCONJ
ejpam-5461	175	48	ıβ2(yi	ıβ2(yi	PROPN
ejpam-5461	175	49	,	,	PUNCT
ejpam-5461	175	50	yj	yj	PROPN
ejpam-5461	175	51	)	)	PUNCT
ejpam-5461	175	52	+	+	PROPN
ejpam-5461	175	53	𭟋β3(yi	𭟋β3(yi	PROPN
ejpam-5461	175	54	,	,	PUNCT
ejpam-5461	175	55	yj	yj	PROPN
ejpam-5461	175	56	)	)	PUNCT
ejpam-5461	175	57	≤	≤	NOUN
ejpam-5461	175	58	3	3	NUM
ejpam-5461	175	59	.	.	NOUN
ejpam-5461	175	60	3	3	X
ejpam-5461	175	61	.	.	X
ejpam-5461	176	1	soi	soi	NOUN
ejpam-5461	176	2	of	of	ADP
ejpam-5461	176	3	neutrosophic	neutrosophic	ADJ
ejpam-5461	176	4	graphs	graph	NOUN
ejpam-5461	176	5	definition	definition	NOUN
ejpam-5461	176	6	8	8	NUM
ejpam-5461	176	7	.	.	PUNCT
ejpam-5461	177	1	let	let	VERB
ejpam-5461	177	2	g	g	PROPN
ejpam-5461	177	3	=	=	SYM
ejpam-5461	177	4	(	(	PUNCT
ejpam-5461	177	5	v	v	NOUN
ejpam-5461	177	6	,	,	PUNCT
ejpam-5461	177	7	ϖ	ϖ	PROPN
ejpam-5461	177	8	,	,	PUNCT
ejpam-5461	177	9	ρ	ρ	NOUN
ejpam-5461	177	10	)	)	PUNCT
ejpam-5461	177	11	be	be	VERB
ejpam-5461	177	12	a	a	DET
ejpam-5461	177	13	ng	ng	PROPN
ejpam-5461	177	14	then	then	ADV
ejpam-5461	177	15	the	the	DET
ejpam-5461	177	16	soi	soi	NOUN
ejpam-5461	177	17	of	of	ADP
ejpam-5461	177	18	neutrosophic	neutrosophic	ADJ
ejpam-5461	177	19	graphs	graph	NOUN
ejpam-5461	177	20	is	be	AUX
ejpam-5461	177	21	define	define	VERB
ejpam-5461	177	22	as	as	SCONJ
ejpam-5461	177	23	,	,	PUNCT
ejpam-5461	177	24	follows	follow	VERB
ejpam-5461	177	25	nsoi(g	nsoi(g	PROPN
ejpam-5461	177	26	)	)	PUNCT
ejpam-5461	177	27	=	=	PUNCT
ejpam-5461	177	28	∑	∑	PUNCT
ejpam-5461	177	29	α	α	X
ejpam-5461	177	30	,	,	PUNCT
ejpam-5461	177	31	β∈e(g	β∈e(g	PROPN
ejpam-5461	177	32	)	)	PUNCT
ejpam-5461	178	1	√	√	PROPN
ejpam-5461	178	2	(	(	PUNCT
ejpam-5461	178	3	τϖ(α)τdg(α))2	τϖ(α)τdg(α))2	X
ejpam-5461	178	4	+	+	CCONJ
ejpam-5461	178	5	(	(	PUNCT
ejpam-5461	178	6	τϖ(β)τdg(β))2	τϖ(β)τdg(β))2	X
ejpam-5461	178	7	(	(	PUNCT
ejpam-5461	178	8	3.1	3.1	NUM
ejpam-5461	178	9	)	)	PUNCT
ejpam-5461	178	10	+	+	CCONJ
ejpam-5461	178	11	√	√	NUM
ejpam-5461	178	12	(	(	PUNCT
ejpam-5461	178	13	ıϖ(α)ıdg(α))2	ıϖ(α)ıdg(α))2	X
ejpam-5461	178	14	+	+	CCONJ
ejpam-5461	178	15	(	(	PUNCT
ejpam-5461	178	16	ıϖ(β)ıdg(β))2	ıϖ(β)ıdg(β))2	X
ejpam-5461	178	17	+	+	CCONJ
ejpam-5461	178	18	√	√	PROPN
ejpam-5461	178	19	(	(	PUNCT
ejpam-5461	178	20	𭟋ϖ(α)𭟋dg(α))2	𭟋ϖ(α)𭟋dg(α))2	X
ejpam-5461	178	21	+	+	CCONJ
ejpam-5461	178	22	(	(	PUNCT
ejpam-5461	178	23	𭟋ϖ(β)𭟋dg(β))2	𭟋ϖ(β)𭟋dg(β))2	NOUN
ejpam-5461	178	24	example	example	NOUN
ejpam-5461	179	1	1	1	X
ejpam-5461	179	2	.	.	PUNCT
ejpam-5461	180	1	let	let	VERB
ejpam-5461	180	2	g	g	PRON
ejpam-5461	180	3	be	be	AUX
ejpam-5461	180	4	a	a	DET
ejpam-5461	180	5	ng	ng	NOUN
ejpam-5461	180	6	with	with	ADP
ejpam-5461	180	7	v(g	v(g	PROPN
ejpam-5461	180	8	)	)	PUNCT
ejpam-5461	180	9	=	=	PRON
ejpam-5461	180	10	{	{	PUNCT
ejpam-5461	180	11	a	a	DET
ejpam-5461	180	12	,	,	PUNCT
ejpam-5461	180	13	b	b	NOUN
ejpam-5461	180	14	,	,	PUNCT
ejpam-5461	180	15	c	c	NOUN
ejpam-5461	180	16	,	,	PUNCT
ejpam-5461	180	17	d	d	NOUN
ejpam-5461	180	18	}	}	PUNCT
ejpam-5461	180	19	such	such	ADJ
ejpam-5461	180	20	that	that	SCONJ
ejpam-5461	180	21	ϖ(a	ϖ(a	PROPN
ejpam-5461	180	22	)	)	PUNCT
ejpam-5461	181	1	=	=	PUNCT
ejpam-5461	181	2	(	(	PUNCT
ejpam-5461	181	3	0.7	0.7	NUM
ejpam-5461	181	4	,	,	PUNCT
ejpam-5461	181	5	0.5	0.5	NUM
ejpam-5461	181	6	,	,	PUNCT
ejpam-5461	181	7	0.3	0.3	NUM
ejpam-5461	181	8	)	)	PUNCT
ejpam-5461	181	9	,	,	PUNCT
ejpam-5461	181	10	ϖ(b	ϖ(b	PROPN
ejpam-5461	181	11	)	)	PUNCT
ejpam-5461	181	12	=	=	SYM
ejpam-5461	181	13	(	(	PUNCT
ejpam-5461	181	14	0.6	0.6	NUM
ejpam-5461	181	15	,	,	PUNCT
ejpam-5461	181	16	0.4	0.4	NUM
ejpam-5461	181	17	,	,	PUNCT
ejpam-5461	181	18	0.5	0.5	NUM
ejpam-5461	181	19	)	)	PUNCT
ejpam-5461	181	20	,	,	PUNCT
ejpam-5461	181	21	ϖ(c	ϖ(c	PROPN
ejpam-5461	181	22	)	)	PUNCT
ejpam-5461	181	23	=	=	PUNCT
ejpam-5461	181	24	(	(	PUNCT
ejpam-5461	181	25	0.5	0.5	NUM
ejpam-5461	181	26	,	,	PUNCT
ejpam-5461	181	27	0.4	0.4	NUM
ejpam-5461	181	28	,	,	PUNCT
ejpam-5461	181	29	0.2	0.2	NUM
ejpam-5461	181	30	)	)	PUNCT
ejpam-5461	181	31	,	,	PUNCT
ejpam-5461	181	32	ϖ(d	ϖ(d	ADJ
ejpam-5461	181	33	)	)	PUNCT
ejpam-5461	181	34	=	=	SYM
ejpam-5461	181	35	(	(	PUNCT
ejpam-5461	181	36	0.3	0.3	NUM
ejpam-5461	181	37	,	,	PUNCT
ejpam-5461	181	38	0.2	0.2	NUM
ejpam-5461	181	39	,	,	PUNCT
ejpam-5461	181	40	0.1	0.1	NUM
ejpam-5461	181	41	)	)	PUNCT
ejpam-5461	181	42	,	,	PUNCT
ejpam-5461	181	43	ρ(ab	ρ(ab	NOUN
ejpam-5461	181	44	)	)	PUNCT
ejpam-5461	181	45	=	=	SYM
ejpam-5461	181	46	(	(	PUNCT
ejpam-5461	181	47	0.6	0.6	NUM
ejpam-5461	181	48	,	,	PUNCT
ejpam-5461	181	49	0.4	0.4	NUM
ejpam-5461	181	50	,	,	PUNCT
ejpam-5461	181	51	0.5	0.5	NUM
ejpam-5461	181	52	)	)	PUNCT
ejpam-5461	181	53	,	,	PUNCT
ejpam-5461	181	54	ρ(bc	ρ(bc	NUM
ejpam-5461	181	55	)	)	PUNCT
ejpam-5461	181	56	=	=	NOUN
ejpam-5461	181	57	(	(	PUNCT
ejpam-5461	181	58	0.5	0.5	NUM
ejpam-5461	181	59	,	,	PUNCT
ejpam-5461	181	60	0.4	0.4	NUM
ejpam-5461	181	61	,	,	PUNCT
ejpam-5461	181	62	0.5	0.5	NUM
ejpam-5461	181	63	)	)	PUNCT
ejpam-5461	181	64	,	,	PUNCT
ejpam-5461	181	65	ρ(cd	ρ(cd	NOUN
ejpam-5461	181	66	)	)	PUNCT
ejpam-5461	181	67	=	=	PUNCT
ejpam-5461	181	68	(	(	PUNCT
ejpam-5461	181	69	0.3	0.3	NUM
ejpam-5461	181	70	,	,	PUNCT
ejpam-5461	181	71	0.2	0.2	NUM
ejpam-5461	181	72	,	,	PUNCT
ejpam-5461	181	73	0.2	0.2	NUM
ejpam-5461	181	74	)	)	PUNCT
ejpam-5461	181	75	,	,	PUNCT
ejpam-5461	181	76	ρ(ac	ρ(ac	NUM
ejpam-5461	181	77	)	)	PUNCT
ejpam-5461	181	78	=	=	SYM
ejpam-5461	181	79	(	(	PUNCT
ejpam-5461	181	80	0.4	0.4	NUM
ejpam-5461	181	81	,	,	PUNCT
ejpam-5461	181	82	0.5	0.5	NUM
ejpam-5461	181	83	,	,	PUNCT
ejpam-5461	181	84	0.4	0.4	NUM
ejpam-5461	181	85	)	)	PUNCT
ejpam-5461	181	86	,	,	PUNCT
ejpam-5461	181	87	ρ(ad	ρ(ad	NUM
ejpam-5461	181	88	)	)	PUNCT
ejpam-5461	181	89	=	=	NOUN
ejpam-5461	181	90	(	(	PUNCT
ejpam-5461	181	91	0.3	0.3	NUM
ejpam-5461	181	92	,	,	PUNCT
ejpam-5461	181	93	0.1	0.1	NUM
ejpam-5461	181	94	,	,	PUNCT
ejpam-5461	181	95	0.4	0.4	NUM
ejpam-5461	181	96	)	)	PUNCT
ejpam-5461	181	97	dg(a	dg(a	PUNCT
ejpam-5461	181	98	)	)	PUNCT
ejpam-5461	181	99	=	=	SYM
ejpam-5461	181	100	m.	m.	NOUN
ejpam-5461	181	101	alqahtani	alqahtani	PROPN
ejpam-5461	181	102	,	,	PUNCT
ejpam-5461	181	103	m.	m.	NOUN
ejpam-5461	181	104	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	181	105	,	,	PUNCT
ejpam-5461	181	106	m.	m.	NOUN
ejpam-5461	181	107	rajeshwari	rajeshwari	PROPN
ejpam-5461	181	108	/	/	SYM
ejpam-5461	181	109	eur	eur	PROPN
ejpam-5461	181	110	.	.	PUNCT
ejpam-5461	182	1	j.	j.	PROPN
ejpam-5461	182	2	pure	pure	PROPN
ejpam-5461	182	3	appl	appl	PROPN
ejpam-5461	182	4	.	.	PROPN
ejpam-5461	182	5	math	math	PROPN
ejpam-5461	182	6	,	,	PUNCT
ejpam-5461	182	7	17	17	NUM
ejpam-5461	182	8	(	(	PUNCT
ejpam-5461	182	9	4	4	NUM
ejpam-5461	182	10	)	)	PUNCT
ejpam-5461	182	11	(	(	PUNCT
ejpam-5461	182	12	2024	2024	NUM
ejpam-5461	182	13	)	)	PUNCT
ejpam-5461	182	14	,	,	PUNCT
ejpam-5461	182	15	2586	2586	NUM
ejpam-5461	182	16	-	-	SYM
ejpam-5461	182	17	2620	2620	NUM
ejpam-5461	182	18	2593	2593	NUM
ejpam-5461	182	19	figure	figure	NOUN
ejpam-5461	182	20	1	1	NUM
ejpam-5461	182	21	:	:	PUNCT
ejpam-5461	182	22	neutrosophic	neutrosophic	ADJ
ejpam-5461	182	23	graph	graph	NOUN
ejpam-5461	182	24	(	(	PUNCT
ejpam-5461	182	25	1.3	1.3	NUM
ejpam-5461	182	26	,	,	PUNCT
ejpam-5461	182	27	1	1	NUM
ejpam-5461	182	28	,	,	PUNCT
ejpam-5461	182	29	1.3	1.3	NUM
ejpam-5461	182	30	)	)	PUNCT
ejpam-5461	182	31	,	,	PUNCT
ejpam-5461	182	32	dg(b	dg(b	X
ejpam-5461	182	33	)	)	PUNCT
ejpam-5461	182	34	=	=	NOUN
ejpam-5461	182	35	(	(	PUNCT
ejpam-5461	182	36	1.1	1.1	NUM
ejpam-5461	182	37	,	,	PUNCT
ejpam-5461	182	38	0.8	0.8	NUM
ejpam-5461	182	39	,	,	PUNCT
ejpam-5461	182	40	1	1	NUM
ejpam-5461	182	41	)	)	PUNCT
ejpam-5461	182	42	,	,	PUNCT
ejpam-5461	182	43	dg(c	dg(c	NOUN
ejpam-5461	182	44	)	)	PUNCT
ejpam-5461	182	45	=	=	PUNCT
ejpam-5461	182	46	(	(	PUNCT
ejpam-5461	182	47	1.2	1.2	NUM
ejpam-5461	182	48	,	,	PUNCT
ejpam-5461	182	49	1.1	1.1	NUM
ejpam-5461	182	50	,	,	PUNCT
ejpam-5461	182	51	1.1	1.1	NUM
ejpam-5461	182	52	)	)	PUNCT
ejpam-5461	182	53	,	,	PUNCT
ejpam-5461	182	54	dg(d	dg(d	NOUN
ejpam-5461	182	55	)	)	PUNCT
ejpam-5461	182	56	=	=	SYM
ejpam-5461	182	57	(	(	PUNCT
ejpam-5461	182	58	0.6	0.6	NUM
ejpam-5461	182	59	,	,	PUNCT
ejpam-5461	182	60	0.3	0.3	NUM
ejpam-5461	182	61	,	,	PUNCT
ejpam-5461	182	62	0.6	0.6	NUM
ejpam-5461	182	63	)	)	PUNCT
ejpam-5461	182	64	.	.	PUNCT
ejpam-5461	183	1	nsoi(g	nsoi(g	X
ejpam-5461	183	2	)	)	PUNCT
ejpam-5461	184	1	=	=	PUNCT
ejpam-5461	184	2	∑	∑	PUNCT
ejpam-5461	184	3	α	α	X
ejpam-5461	184	4	,	,	PUNCT
ejpam-5461	184	5	β∈e(g	β∈e(g	PROPN
ejpam-5461	184	6	)	)	PUNCT
ejpam-5461	185	1	√	√	PROPN
ejpam-5461	185	2	(	(	PUNCT
ejpam-5461	185	3	τϖ(α)τdg(α))2	τϖ(α)τdg(α))2	X
ejpam-5461	185	4	+	+	CCONJ
ejpam-5461	185	5	(	(	PUNCT
ejpam-5461	185	6	τϖ(β)τdg(β))2	τϖ(β)τdg(β))2	VERB
ejpam-5461	186	1	+	+	CCONJ
ejpam-5461	186	2	√	√	INTJ
ejpam-5461	186	3	(	(	PUNCT
ejpam-5461	186	4	ıϖ(α)ıdg(α))2	ıϖ(α)ıdg(α))2	X
ejpam-5461	186	5	+	+	CCONJ
ejpam-5461	186	6	(	(	PUNCT
ejpam-5461	186	7	ıϖ(β)ıdg(β))2	ıϖ(β)ıdg(β))2	X
ejpam-5461	186	8	+	+	CCONJ
ejpam-5461	186	9	√	√	PROPN
ejpam-5461	186	10	(	(	PUNCT
ejpam-5461	186	11	𭟋ϖ(α)𭟋dg(α))2	𭟋ϖ(α)𭟋dg(α))2	X
ejpam-5461	186	12	+	+	CCONJ
ejpam-5461	186	13	(	(	PUNCT
ejpam-5461	186	14	𭟋ϖ(β)𭟋dg(β))2	𭟋ϖ(β)𭟋dg(β))2	NOUN
ejpam-5461	186	15	nsoi(g	nsoi(g	PROPN
ejpam-5461	186	16	)	)	PUNCT
ejpam-5461	186	17	=	=	SYM
ejpam-5461	187	1	√	√	NUM
ejpam-5461	187	2	(	(	PUNCT
ejpam-5461	187	3	(	(	PUNCT
ejpam-5461	187	4	0.7)(1.3))2	0.7)(1.3))2	NUM
ejpam-5461	187	5	+	+	SYM
ejpam-5461	187	6	(	(	PUNCT
ejpam-5461	187	7	(	(	PUNCT
ejpam-5461	187	8	0.6)(1.1))2	0.6)(1.1))2	NOUN
ejpam-5461	187	9	+	+	CCONJ
ejpam-5461	187	10	(	(	PUNCT
ejpam-5461	187	11	(	(	PUNCT
ejpam-5461	187	12	0.5)(1))2	0.5)(1))2	NUM
ejpam-5461	187	13	+	+	CCONJ
ejpam-5461	187	14	(	(	PUNCT
ejpam-5461	187	15	(	(	PUNCT
ejpam-5461	187	16	0.4)(0.8))2	0.4)(0.8))2	NUM
ejpam-5461	187	17	+	+	CCONJ
ejpam-5461	187	18	(	(	PUNCT
ejpam-5461	187	19	(	(	PUNCT
ejpam-5461	187	20	0.3)(1.3))2	0.3)(1.3))2	NUM
ejpam-5461	187	21	+	+	CCONJ
ejpam-5461	187	22	(	(	PUNCT
ejpam-5461	187	23	(	(	PUNCT
ejpam-5461	187	24	0.5)(1.3))2	0.5)(1.3))2	NUM
ejpam-5461	187	25	+	+	NOUN
ejpam-5461	187	26	√	√	INTJ
ejpam-5461	187	27	(	(	PUNCT
ejpam-5461	187	28	(	(	PUNCT
ejpam-5461	187	29	0.7)(1.3))2	0.7)(1.3))2	NUM
ejpam-5461	187	30	+	+	SYM
ejpam-5461	187	31	(	(	PUNCT
ejpam-5461	187	32	(	(	PUNCT
ejpam-5461	187	33	0.5)(1.2))2	0.5)(1.2))2	NOUN
ejpam-5461	187	34	+	+	CCONJ
ejpam-5461	187	35	(	(	PUNCT
ejpam-5461	187	36	(	(	PUNCT
ejpam-5461	187	37	0.5)(1))2	0.5)(1))2	NUM
ejpam-5461	187	38	+	+	CCONJ
ejpam-5461	187	39	(	(	PUNCT
ejpam-5461	187	40	(	(	PUNCT
ejpam-5461	187	41	0.4)(1.1))2	0.4)(1.1))2	NUM
ejpam-5461	187	42	+	+	CCONJ
ejpam-5461	187	43	(	(	PUNCT
ejpam-5461	187	44	(	(	PUNCT
ejpam-5461	187	45	0.3)(1.1))2	0.3)(1.1))2	NOUN
ejpam-5461	187	46	+	+	CCONJ
ejpam-5461	187	47	(	(	PUNCT
ejpam-5461	187	48	(	(	PUNCT
ejpam-5461	187	49	0.2)(1.1))2	0.2)(1.1))2	NOUN
ejpam-5461	187	50	+	+	NOUN
ejpam-5461	187	51	√	√	VERB
ejpam-5461	187	52	(	(	PUNCT
ejpam-5461	187	53	(	(	PUNCT
ejpam-5461	187	54	0.7)(1.3))2	0.7)(1.3))2	NUM
ejpam-5461	187	55	+	+	SYM
ejpam-5461	187	56	(	(	PUNCT
ejpam-5461	187	57	(	(	PUNCT
ejpam-5461	187	58	0.3)(0.6))2	0.3)(0.6))2	NUM
ejpam-5461	187	59	+	+	CCONJ
ejpam-5461	187	60	(	(	PUNCT
ejpam-5461	187	61	(	(	PUNCT
ejpam-5461	187	62	0.5)(1))2	0.5)(1))2	NUM
ejpam-5461	187	63	+	+	CCONJ
ejpam-5461	187	64	(	(	PUNCT
ejpam-5461	187	65	(	(	PUNCT
ejpam-5461	187	66	0.2)(0.3))2	0.2)(0.3))2	NOUN
ejpam-5461	187	67	+	+	CCONJ
ejpam-5461	187	68	(	(	PUNCT
ejpam-5461	187	69	(	(	PUNCT
ejpam-5461	187	70	0.3)(1.3))2	0.3)(1.3))2	NUM
ejpam-5461	187	71	+	+	CCONJ
ejpam-5461	187	72	(	(	PUNCT
ejpam-5461	187	73	(	(	PUNCT
ejpam-5461	187	74	0.1)(0.6))2	0.1)(0.6))2	NOUN
ejpam-5461	187	75	+	+	CCONJ
ejpam-5461	187	76	√	√	PROPN
ejpam-5461	187	77	(	(	PUNCT
ejpam-5461	187	78	(	(	PUNCT
ejpam-5461	187	79	0.6)(1.1))2	0.6)(1.1))2	NOUN
ejpam-5461	187	80	+	+	CCONJ
ejpam-5461	187	81	(	(	PUNCT
ejpam-5461	187	82	(	(	PUNCT
ejpam-5461	187	83	0.5)(1.2))2	0.5)(1.2))2	NOUN
ejpam-5461	187	84	+	+	CCONJ
ejpam-5461	187	85	(	(	PUNCT
ejpam-5461	187	86	(	(	PUNCT
ejpam-5461	187	87	0.4)(0.8))2	0.4)(0.8))2	NUM
ejpam-5461	187	88	+	+	CCONJ
ejpam-5461	187	89	(	(	PUNCT
ejpam-5461	187	90	(	(	PUNCT
ejpam-5461	187	91	0.4)(1.1))2	0.4)(1.1))2	NUM
ejpam-5461	187	92	+	+	CCONJ
ejpam-5461	187	93	(	(	PUNCT
ejpam-5461	187	94	(	(	PUNCT
ejpam-5461	187	95	0.5)(1))2	0.5)(1))2	NUM
ejpam-5461	187	96	+	+	CCONJ
ejpam-5461	187	97	(	(	PUNCT
ejpam-5461	187	98	(	(	PUNCT
ejpam-5461	187	99	0.2)(1.1))2	0.2)(1.1))2	NOUN
ejpam-5461	187	100	+	+	NOUN
ejpam-5461	187	101	√	√	VERB
ejpam-5461	187	102	(	(	PUNCT
ejpam-5461	187	103	(	(	PUNCT
ejpam-5461	187	104	0.5)(1.2))2	0.5)(1.2))2	NOUN
ejpam-5461	187	105	+	+	CCONJ
ejpam-5461	187	106	(	(	PUNCT
ejpam-5461	187	107	(	(	PUNCT
ejpam-5461	187	108	0.3)(0.6))2	0.3)(0.6))2	NUM
ejpam-5461	187	109	+	+	CCONJ
ejpam-5461	187	110	(	(	PUNCT
ejpam-5461	187	111	(	(	PUNCT
ejpam-5461	187	112	0.4)(1.1))2	0.4)(1.1))2	NUM
ejpam-5461	187	113	+	+	CCONJ
ejpam-5461	187	114	(	(	PUNCT
ejpam-5461	187	115	(	(	PUNCT
ejpam-5461	187	116	0.2)(0.3))2	0.2)(0.3))2	NOUN
ejpam-5461	187	117	+	+	CCONJ
ejpam-5461	187	118	(	(	PUNCT
ejpam-5461	187	119	(	(	PUNCT
ejpam-5461	187	120	0.2)(1.1))2	0.2)(1.1))2	NOUN
ejpam-5461	187	121	+	+	CCONJ
ejpam-5461	187	122	(	(	PUNCT
ejpam-5461	187	123	(	(	PUNCT
ejpam-5461	187	124	0.1)(0.6))2	0.1)(0.6))2	NUM
ejpam-5461	187	125	nsoi(g	nsoi(g	PROPN
ejpam-5461	187	126	)	)	PUNCT
ejpam-5461	187	127	=	=	PUNCT
ejpam-5461	188	1	6.5653	6.5653	NUM
ejpam-5461	188	2	.	.	PUNCT
ejpam-5461	188	3	theorem	theorem	NOUN
ejpam-5461	188	4	1	1	NUM
ejpam-5461	188	5	.	.	PUNCT
ejpam-5461	189	1	let	let	VERB
ejpam-5461	189	2	the	the	DET
ejpam-5461	189	3	neutrosophic	neutrosophic	ADJ
ejpam-5461	189	4	path	path	NOUN
ejpam-5461	189	5	graph	graph	NOUN
ejpam-5461	189	6	be	be	AUX
ejpam-5461	189	7	denoted	denote	VERB
ejpam-5461	189	8	by	by	ADP
ejpam-5461	189	9	pm̂.	pm̂.	NOUN
ejpam-5461	189	10	consequently	consequently	ADV
ejpam-5461	189	11	,	,	PUNCT
ejpam-5461	189	12	nsoi(ρm̂	nsoi(ρm̂	NOUN
ejpam-5461	189	13	)	)	PUNCT
ejpam-5461	189	14	≤	≤	NOUN
ejpam-5461	189	15	6	6	NUM
ejpam-5461	189	16	(	(	PUNCT
ejpam-5461	189	17	√	√	NUM
ejpam-5461	189	18	2(m̂−	2(m̂−	NUM
ejpam-5461	189	19	3	3	NUM
ejpam-5461	189	20	)	)	PUNCT
ejpam-5461	190	1	+	+	CCONJ
ejpam-5461	190	2	√	√	NUM
ejpam-5461	190	3	5	5	NUM
ejpam-5461	190	4	)	)	PUNCT
ejpam-5461	190	5	.	.	PUNCT
ejpam-5461	191	1	proof	proof	NOUN
ejpam-5461	191	2	.	.	PUNCT
ejpam-5461	192	1	a	a	DET
ejpam-5461	192	2	neutrosophic	neutrosophic	ADJ
ejpam-5461	192	3	path	path	NOUN
ejpam-5461	192	4	g	g	PROPN
ejpam-5461	192	5	=	=	PUNCT
ejpam-5461	192	6	pm̂	pm̂	PROPN
ejpam-5461	192	7	has	have	VERB
ejpam-5461	192	8	v(pm̂	v(pm̂	ADV
ejpam-5461	192	9	)	)	PUNCT
ejpam-5461	192	10	=	=	PRON
ejpam-5461	192	11	{	{	PUNCT
ejpam-5461	192	12	β1	β1	PROPN
ejpam-5461	192	13	,	,	PUNCT
ejpam-5461	192	14	β2	β2	NOUN
ejpam-5461	192	15	,	,	PUNCT
ejpam-5461	192	16	β3	β3	VERB
ejpam-5461	192	17	,	,	PUNCT
ejpam-5461	192	18	..	..	PUNCT
ejpam-5461	192	19	βm̂	βm̂	ADJ
ejpam-5461	192	20	}	}	PUNCT
ejpam-5461	192	21	and	and	CCONJ
ejpam-5461	192	22	e(pm̂	e(pm̂	NUM
ejpam-5461	192	23	)	)	PUNCT
ejpam-5461	193	1	=	=	PRON
ejpam-5461	193	2	{	{	PUNCT
ejpam-5461	193	3	ϱ1	ϱ1	NOUN
ejpam-5461	193	4	,	,	PUNCT
ejpam-5461	193	5	ϱ2	ϱ2	NOUN
ejpam-5461	193	6	,	,	PUNCT
ejpam-5461	193	7	ϱ3	ϱ3	PROPN
ejpam-5461	193	8	,	,	PUNCT
ejpam-5461	193	9	..	..	PUNCT
ejpam-5461	193	10	ϱm̂−1	ϱm̂−1	ADP
ejpam-5461	193	11	}	}	PUNCT
ejpam-5461	193	12	.	.	PUNCT
ejpam-5461	194	1	assume	assume	VERB
ejpam-5461	194	2	that	that	SCONJ
ejpam-5461	194	3	ϖ1	ϖ1	VERB
ejpam-5461	194	4	,	,	PUNCT
ejpam-5461	194	5	ϖ2	ϖ2	NOUN
ejpam-5461	194	6	,	,	PUNCT
ejpam-5461	194	7	ϖ3	ϖ3	NOUN
ejpam-5461	194	8	,	,	PUNCT
ejpam-5461	194	9	....	....	PUNCT
ejpam-5461	194	10	,	,	PUNCT
ejpam-5461	194	11	ϖm̂	ϖm̂	NOUN
ejpam-5461	194	12	and	and	CCONJ
ejpam-5461	194	13	ρ1	ρ1	NOUN
ejpam-5461	194	14	,	,	PUNCT
ejpam-5461	194	15	ρ2	ρ2	NOUN
ejpam-5461	194	16	,	,	PUNCT
ejpam-5461	194	17	ρ3	ρ3	NOUN
ejpam-5461	194	18	,	,	PUNCT
ejpam-5461	194	19	ρm̂−1	ρm̂−1	NOUN
ejpam-5461	194	20	,	,	PUNCT
ejpam-5461	194	21	respectively	respectively	ADV
ejpam-5461	194	22	,	,	PUNCT
ejpam-5461	194	23	denote	denote	VERB
ejpam-5461	194	24	the	the	DET
ejpam-5461	194	25	type	type	NOUN
ejpam-5461	194	26	ofmvs	ofmvs	NOUN
ejpam-5461	194	27	of	of	ADP
ejpam-5461	194	28	pm̂	pm̂	PROPN
ejpam-5461	194	29	’s	’s	PART
ejpam-5461	194	30	vertices	vertex	NOUN
ejpam-5461	194	31	and	and	CCONJ
ejpam-5461	194	32	edges	edge	NOUN
ejpam-5461	194	33	.	.	PUNCT
ejpam-5461	195	1	then	then	ADV
ejpam-5461	195	2	clearly	clearly	ADV
ejpam-5461	195	3	dg(β1	dg(β1	NOUN
ejpam-5461	195	4	)	)	PUNCT
ejpam-5461	195	5	=	=	SYM
ejpam-5461	195	6	ρ(ϱ1	ρ(ϱ1	NOUN
ejpam-5461	195	7	)	)	PUNCT
ejpam-5461	195	8	,	,	PUNCT
ejpam-5461	195	9	dg(βm̂	dg(βm̂	ADJ
ejpam-5461	195	10	)	)	PUNCT
ejpam-5461	195	11	=	=	SYM
ejpam-5461	195	12	ρ(ϱm̂−1	ρ(ϱm̂−1	PROPN
ejpam-5461	195	13	)	)	PUNCT
ejpam-5461	195	14	and	and	CCONJ
ejpam-5461	195	15	dg(βi	dg(βi	PROPN
ejpam-5461	195	16	)	)	PUNCT
ejpam-5461	195	17	=	=	SYM
ejpam-5461	196	1	ρ(ϱi	ρ(ϱi	X
ejpam-5461	196	2	)	)	PUNCT
ejpam-5461	196	3	+	+	CCONJ
ejpam-5461	196	4	ρ(ϱi+1),for	ρ(ϱi+1),for	ADP
ejpam-5461	196	5	2	2	NUM
ejpam-5461	196	6	≤	≤	NUM
ejpam-5461	196	7	i	i	PRON
ejpam-5461	196	8	≤	≤	X
ejpam-5461	196	9	m̂−	m̂−	NOUN
ejpam-5461	196	10	2	2	NUM
ejpam-5461	196	11	.	.	PUNCT
ejpam-5461	196	12	therefore	therefore	ADV
ejpam-5461	196	13	,	,	PUNCT
ejpam-5461	196	14	nsoi(pm̂	nsoi(pm̂	PROPN
ejpam-5461	196	15	)	)	PUNCT
ejpam-5461	196	16	=	=	SYM
ejpam-5461	196	17	tsoi(pm̂	tsoi(pm̂	NUM
ejpam-5461	196	18	)	)	PUNCT
ejpam-5461	196	19	+	+	NUM
ejpam-5461	196	20	isoi(pm̂	isoi(pm̂	NUM
ejpam-5461	196	21	)	)	PUNCT
ejpam-5461	197	1	+	+	NUM
ejpam-5461	197	2	fsoi(pm̂	fsoi(pm̂	NUM
ejpam-5461	197	3	)	)	PUNCT
ejpam-5461	197	4	(	(	PUNCT
ejpam-5461	197	5	3.2	3.2	NUM
ejpam-5461	197	6	)	)	PUNCT
ejpam-5461	197	7	tsoi(pm̂	tsoi(pm̂	NUM
ejpam-5461	197	8	)	)	PUNCT
ejpam-5461	198	1	=	=	PUNCT
ejpam-5461	198	2	∑	∑	PUNCT
ejpam-5461	198	3	α	α	X
ejpam-5461	198	4	,	,	PUNCT
ejpam-5461	198	5	β∈e(g	β∈e(g	PROPN
ejpam-5461	198	6	)	)	PUNCT
ejpam-5461	199	1	√	√	PROPN
ejpam-5461	199	2	(	(	PUNCT
ejpam-5461	199	3	τϖ(α)τdg(α))2	τϖ(α)τdg(α))2	X
ejpam-5461	199	4	+	+	CCONJ
ejpam-5461	199	5	(	(	PUNCT
ejpam-5461	199	6	τϖ(β)τdg(β))2	τϖ(β)τdg(β))2	NUM
ejpam-5461	199	7	m.	m.	NOUN
ejpam-5461	199	8	alqahtani	alqahtani	PROPN
ejpam-5461	199	9	,	,	PUNCT
ejpam-5461	199	10	m.	m.	NOUN
ejpam-5461	199	11	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	199	12	,	,	PUNCT
ejpam-5461	199	13	m.	m.	NOUN
ejpam-5461	199	14	rajeshwari	rajeshwari	PROPN
ejpam-5461	199	15	/	/	SYM
ejpam-5461	199	16	eur	eur	PROPN
ejpam-5461	199	17	.	.	PUNCT
ejpam-5461	200	1	j.	j.	PROPN
ejpam-5461	200	2	pure	pure	PROPN
ejpam-5461	200	3	appl	appl	PROPN
ejpam-5461	200	4	.	.	PROPN
ejpam-5461	200	5	math	math	PROPN
ejpam-5461	200	6	,	,	PUNCT
ejpam-5461	200	7	17	17	NUM
ejpam-5461	200	8	(	(	PUNCT
ejpam-5461	200	9	4	4	NUM
ejpam-5461	200	10	)	)	PUNCT
ejpam-5461	200	11	(	(	PUNCT
ejpam-5461	200	12	2024	2024	NUM
ejpam-5461	200	13	)	)	PUNCT
ejpam-5461	200	14	,	,	PUNCT
ejpam-5461	200	15	2586	2586	NUM
ejpam-5461	200	16	-	-	SYM
ejpam-5461	200	17	2620	2620	NUM
ejpam-5461	200	18	2594	2594	NUM
ejpam-5461	200	19	=	=	SYM
ejpam-5461	200	20	√	√	NUM
ejpam-5461	200	21	(	(	PUNCT
ejpam-5461	200	22	τϖ(β1)τdg(β1))2	τϖ(β1)τdg(β1))2	X
ejpam-5461	200	23	+	+	PUNCT
ejpam-5461	200	24	(	(	PUNCT
ejpam-5461	200	25	τϖ(β2)τdg(β2))2	τϖ(β2)τdg(β2))2	NOUN
ejpam-5461	200	26	+	+	CCONJ
ejpam-5461	200	27	√	√	PROPN
ejpam-5461	200	28	(	(	PUNCT
ejpam-5461	200	29	τϖ(βm̂−1)τdg(βm̂−1))2	τϖ(βm̂−1)τdg(βm̂−1))2	NOUN
ejpam-5461	200	30	+	+	CCONJ
ejpam-5461	200	31	(	(	PUNCT
ejpam-5461	200	32	τϖ(βm̂)τdg(βm̂))2	τϖ(βm̂)τdg(βm̂))2	X
ejpam-5461	200	33	+	+	CCONJ
ejpam-5461	200	34	∑	∑	PROPN
ejpam-5461	200	35	βi	βi	X
ejpam-5461	200	36	,	,	PUNCT
ejpam-5461	200	37	βj∈e(g)−{ϱ1,ϱm̂−1	βj∈e(g)−{ϱ1,ϱm̂−1	NOUN
ejpam-5461	200	38	}	}	PUNCT
ejpam-5461	200	39	√	√	PROPN
ejpam-5461	200	40	(	(	PUNCT
ejpam-5461	200	41	τϖ(βi)τdg(βi))2	τϖ(βi)τdg(βi))2	X
ejpam-5461	200	42	+	+	CCONJ
ejpam-5461	200	43	(	(	PUNCT
ejpam-5461	200	44	τϖ(βj)τdg(βj))2	τϖ(βj)τdg(βj))2	X
ejpam-5461	200	45	=	=	PUNCT
ejpam-5461	200	46	√	√	INTJ
ejpam-5461	200	47	(	(	PUNCT
ejpam-5461	200	48	τϖ(β1)τρ(ϱ1))2	τϖ(β1)τρ(ϱ1))2	PROPN
ejpam-5461	200	49	+	+	CCONJ
ejpam-5461	200	50	(	(	PUNCT
ejpam-5461	200	51	τϖ(β2)(τρ(ϱ1	τϖ(β2)(τρ(ϱ1	NUM
ejpam-5461	200	52	)	)	PUNCT
ejpam-5461	201	1	+	+	CCONJ
ejpam-5461	201	2	τρ(ϱ2)))2	τρ(ϱ2)))2	PUNCT
ejpam-5461	202	1	+	+	CCONJ
ejpam-5461	202	2	√	√	INTJ
ejpam-5461	202	3	(	(	PUNCT
ejpam-5461	202	4	τϖ(βm̂)τρ(ϱm̂−1))2	τϖ(βm̂)τρ(ϱm̂−1))2	PUNCT
ejpam-5461	202	5	+	+	CCONJ
ejpam-5461	202	6	(	(	PUNCT
ejpam-5461	202	7	τϖ(βm̂−1)(τρ(ϱm̂−1	τϖ(βm̂−1)(τρ(ϱm̂−1	PROPN
ejpam-5461	202	8	)	)	PUNCT
ejpam-5461	202	9	+	+	CCONJ
ejpam-5461	202	10	τρ(ϱm̂−2)))2	τρ(ϱm̂−2)))2	X
ejpam-5461	202	11	+	+	CCONJ
ejpam-5461	202	12	∑	∑	PROPN
ejpam-5461	202	13	βi	βi	X
ejpam-5461	202	14	,	,	PUNCT
ejpam-5461	202	15	βj∈e(g)−{ϱ1,ϱm̂−1	βj∈e(g)−{ϱ1,ϱm̂−1	NOUN
ejpam-5461	202	16	}	}	PUNCT
ejpam-5461	202	17	√	√	PROPN
ejpam-5461	202	18	(	(	PUNCT
ejpam-5461	202	19	τϖ(βi)(τρ(ϱi	τϖ(βi)(τρ(ϱi	PROPN
ejpam-5461	202	20	)	)	PUNCT
ejpam-5461	203	1	+	+	NUM
ejpam-5461	203	2	τρ(ϱj+1)))2	τρ(ϱj+1)))2	NUM
ejpam-5461	203	3	+	+	CCONJ
ejpam-5461	203	4	(	(	PUNCT
ejpam-5461	203	5	τϖ(βj)(τρ(ϱj	τϖ(βj)(τρ(ϱj	ADV
ejpam-5461	203	6	)	)	PUNCT
ejpam-5461	203	7	+	+	NUM
ejpam-5461	203	8	ρ(ϱj+1)))2	ρ(ϱj+1)))2	NOUN
ejpam-5461	203	9	=	=	SYM
ejpam-5461	203	10	√	√	NUM
ejpam-5461	203	11	(	(	PUNCT
ejpam-5461	203	12	τϖ(β1)(τρ(ϱ1))2	τϖ(β1)(τρ(ϱ1))2	X
ejpam-5461	203	13	+	+	CCONJ
ejpam-5461	203	14	(	(	PUNCT
ejpam-5461	203	15	τϖ(β2)2(τρ(ϱ1)2	τϖ(β2)2(τρ(ϱ1)2	PUNCT
ejpam-5461	203	16	+	+	NUM
ejpam-5461	203	17	τρ(ϱ2)2	τρ(ϱ2)2	NUM
ejpam-5461	203	18	)	)	PUNCT
ejpam-5461	203	19	+	+	CCONJ
ejpam-5461	203	20	2τρ(ϱ1)τρ(ϱ2	2τρ(ϱ1)τρ(ϱ2	NUM
ejpam-5461	203	21	)	)	PUNCT
ejpam-5461	203	22	)	)	PUNCT
ejpam-5461	204	1	+	+	CCONJ
ejpam-5461	204	2	√	√	NUM
ejpam-5461	204	3	τϖ(βm̂)2τρ(ϱm̂−1)2	τϖ(βm̂)2τρ(ϱm̂−1)2	VERB
ejpam-5461	204	4	+	+	CCONJ
ejpam-5461	204	5	(	(	PUNCT
ejpam-5461	204	6	τϖ(βm̂−1)2(τρ(ϱm̂−1)2	τϖ(βm̂−1)2(τρ(ϱm̂−1)2	VERB
ejpam-5461	204	7	+	+	NUM
ejpam-5461	204	8	τρ(ϱm̂−2)2	τρ(ϱm̂−2)2	PUNCT
ejpam-5461	204	9	+	+	NUM
ejpam-5461	204	10	2τρ(ϱm̂−1)τρ(ϱm̂−2	2τρ(ϱm̂−1)τρ(ϱm̂−2	NUM
ejpam-5461	204	11	)	)	PUNCT
ejpam-5461	204	12	)	)	PUNCT
ejpam-5461	204	13	)	)	PUNCT
ejpam-5461	205	1	+	+	CCONJ
ejpam-5461	205	2	∑	∑	PROPN
ejpam-5461	205	3	βi	βi	X
ejpam-5461	205	4	,	,	PUNCT
ejpam-5461	205	5	βj∈e(g)−{ϱ1,ϱm̂−1	βj∈e(g)−{ϱ1,ϱm̂−1	VERB
ejpam-5461	205	6	}	}	PUNCT
ejpam-5461	205	7	√√√√(τϖ(βi	√√√√(τϖ(βi	NOUN
ejpam-5461	205	8	)	)	PUNCT
ejpam-5461	205	9	2(τρ(ϱi	2(τρ(ϱi	NUM
ejpam-5461	205	10	)	)	PUNCT
ejpam-5461	205	11	2	2	NUM
ejpam-5461	206	1	+	+	SYM
ejpam-5461	206	2	τρ(ϱi+1	τρ(ϱi+1	NOUN
ejpam-5461	206	3	)	)	PUNCT
ejpam-5461	206	4	2	2	NUM
ejpam-5461	207	1	+	+	SYM
ejpam-5461	207	2	2τρ(ϱi)τρ(ϱi+1	2τρ(ϱi)τρ(ϱi+1	NUM
ejpam-5461	207	3	)	)	PUNCT
ejpam-5461	207	4	)	)	PUNCT
ejpam-5461	207	5	)	)	PUNCT
ejpam-5461	208	1	+	+	CCONJ
ejpam-5461	208	2	(	(	PUNCT
ejpam-5461	208	3	τϖ(βj	τϖ(βj	NOUN
ejpam-5461	208	4	)	)	PUNCT
ejpam-5461	208	5	2(τρ(ϱj	2(τρ(ϱj	NUM
ejpam-5461	208	6	)	)	PUNCT
ejpam-5461	208	7	2	2	NUM
ejpam-5461	208	8	+	+	CCONJ
ejpam-5461	208	9	τρ(ϱj+1	τρ(ϱj+1	PROPN
ejpam-5461	208	10	)	)	PUNCT
ejpam-5461	208	11	2	2	NUM
ejpam-5461	208	12	+	+	CCONJ
ejpam-5461	208	13	2τρ(ϱj)τρ(ϱj+1	2τρ(ϱj)τρ(ϱj+1	NUM
ejpam-5461	208	14	)	)	PUNCT
ejpam-5461	208	15	)	)	PUNCT
ejpam-5461	208	16	)	)	PUNCT
ejpam-5461	208	17	,	,	PUNCT
ejpam-5461	208	18	since	since	SCONJ
ejpam-5461	208	19	0	0	NUM
ejpam-5461	208	20	≤	≤	NUM
ejpam-5461	208	21	τϖ(β	τϖ(β	NOUN
ejpam-5461	208	22	)	)	PUNCT
ejpam-5461	208	23	≤	≤	NUM
ejpam-5461	208	24	1	1	NUM
ejpam-5461	208	25	and	and	CCONJ
ejpam-5461	208	26	0	0	NUM
ejpam-5461	208	27	≤	≤	NUM
ejpam-5461	208	28	τρ(ϱ	τρ(ϱ	NOUN
ejpam-5461	208	29	)	)	PUNCT
ejpam-5461	208	30	≤	≤	NUM
ejpam-5461	208	31	1	1	NUM
ejpam-5461	208	32	.	.	PUNCT
ejpam-5461	208	33	therefore	therefore	ADV
ejpam-5461	208	34	,	,	PUNCT
ejpam-5461	208	35	tsoi(pm̂	tsoi(pm̂	NUM
ejpam-5461	208	36	)	)	PUNCT
ejpam-5461	208	37	=	=	PUNCT
ejpam-5461	208	38	∑	∑	PUNCT
ejpam-5461	208	39	α	α	X
ejpam-5461	208	40	,	,	PUNCT
ejpam-5461	208	41	β∈e(g	β∈e(g	PROPN
ejpam-5461	208	42	)	)	PUNCT
ejpam-5461	208	43	√	√	ADP
ejpam-5461	208	44	12.12	12.12	NUM
ejpam-5461	208	45	+	+	CCONJ
ejpam-5461	208	46	12(12	12(12	NUM
ejpam-5461	208	47	+	+	NUM
ejpam-5461	208	48	12	12	NUM
ejpam-5461	208	49	)	)	PUNCT
ejpam-5461	209	1	+	+	CCONJ
ejpam-5461	209	2	2(1))(1).1	2(1))(1).1	NUM
ejpam-5461	210	1	+	+	CCONJ
ejpam-5461	210	2	√	√	NUM
ejpam-5461	210	3	12.12	12.12	NUM
ejpam-5461	210	4	+	+	NUM
ejpam-5461	210	5	12.12	12.12	NUM
ejpam-5461	210	6	+	+	NUM
ejpam-5461	210	7	12.12	12.12	NUM
ejpam-5461	210	8	+	+	CCONJ
ejpam-5461	210	9	2(12).1.1	2(12).1.1	NUM
ejpam-5461	210	10	=	=	SYM
ejpam-5461	210	11	(	(	PUNCT
ejpam-5461	210	12	m̂−	m̂−	PROPN
ejpam-5461	210	13	3	3	NUM
ejpam-5461	210	14	)	)	PUNCT
ejpam-5461	210	15	√	√	ADP
ejpam-5461	210	16	12.12	12.12	NUM
ejpam-5461	210	17	+	+	CCONJ
ejpam-5461	210	18	12.12	12.12	NUM
ejpam-5461	210	19	+	+	CCONJ
ejpam-5461	210	20	2(12).1.1	2(12).1.1	NUM
ejpam-5461	210	21	+	+	NUM
ejpam-5461	210	22	12.12	12.12	NUM
ejpam-5461	210	23	+	+	NUM
ejpam-5461	210	24	12.12	12.12	NUM
ejpam-5461	210	25	+	+	CCONJ
ejpam-5461	210	26	2(12).1.1	2(12).1.1	NUM
ejpam-5461	210	27	tsoi(pm̂	tsoi(pm̂	NUM
ejpam-5461	210	28	)	)	PUNCT
ejpam-5461	210	29	=	=	SYM
ejpam-5461	210	30	2	2	NUM
ejpam-5461	210	31	√	√	NUM
ejpam-5461	210	32	2(m̂−	2(m̂−	NUM
ejpam-5461	210	33	3	3	NUM
ejpam-5461	210	34	)	)	PUNCT
ejpam-5461	210	35	+	+	CCONJ
ejpam-5461	210	36	2	2	NUM
ejpam-5461	210	37	√	√	NUM
ejpam-5461	210	38	5	5	NUM
ejpam-5461	210	39	tsoi(pm̂	tsoi(pm̂	NUM
ejpam-5461	210	40	)	)	PUNCT
ejpam-5461	210	41	=	=	SYM
ejpam-5461	210	42	2	2	NUM
ejpam-5461	210	43	(	(	PUNCT
ejpam-5461	210	44	√	√	NUM
ejpam-5461	210	45	2(m̂−	2(m̂−	NUM
ejpam-5461	210	46	3	3	NUM
ejpam-5461	210	47	)	)	PUNCT
ejpam-5461	210	48	+	+	CCONJ
ejpam-5461	210	49	√	√	NUM
ejpam-5461	210	50	5	5	NUM
ejpam-5461	210	51	)	)	PUNCT
ejpam-5461	210	52	(	(	PUNCT
ejpam-5461	210	53	3.3	3.3	NUM
ejpam-5461	210	54	)	)	PUNCT
ejpam-5461	210	55	isoi(pm̂	isoi(pm̂	NOUN
ejpam-5461	210	56	)	)	PUNCT
ejpam-5461	210	57	=	=	PUNCT
ejpam-5461	210	58	∑	∑	PUNCT
ejpam-5461	210	59	α	α	X
ejpam-5461	210	60	,	,	PUNCT
ejpam-5461	210	61	β∈e(g	β∈e(g	PROPN
ejpam-5461	210	62	)	)	PUNCT
ejpam-5461	210	63	√	√	PROPN
ejpam-5461	211	1	(	(	PUNCT
ejpam-5461	211	2	ıϖ(α)ıdg(α))2	ıϖ(α)ıdg(α))2	X
ejpam-5461	211	3	+	+	CCONJ
ejpam-5461	211	4	(	(	PUNCT
ejpam-5461	211	5	ıϖ(β)ıdg(β))2	ıϖ(β)ıdg(β))2	X
ejpam-5461	211	6	=	=	SYM
ejpam-5461	211	7	√	√	NUM
ejpam-5461	211	8	(	(	PUNCT
ejpam-5461	211	9	ıϖ(β1)ıdg(β1))2	ıϖ(β1)ıdg(β1))2	NOUN
ejpam-5461	211	10	+	+	CCONJ
ejpam-5461	211	11	(	(	PUNCT
ejpam-5461	211	12	ıϖ(β2)ıdg(β2))2	ıϖ(β2)ıdg(β2))2	NOUN
ejpam-5461	211	13	+	+	CCONJ
ejpam-5461	211	14	√	√	ADJ
ejpam-5461	211	15	(	(	PUNCT
ejpam-5461	211	16	ıϖ(βm̂−1)ıdg(βm̂−1))2	ıϖ(βm̂−1)ıdg(βm̂−1))2	NOUN
ejpam-5461	211	17	+	+	CCONJ
ejpam-5461	211	18	(	(	PUNCT
ejpam-5461	211	19	ıϖ(βm̂)ıdg(βm̂))2	ıϖ(βm̂)ıdg(βm̂))2	X
ejpam-5461	211	20	+	+	CCONJ
ejpam-5461	211	21	∑	∑	PROPN
ejpam-5461	211	22	βi	βi	NOUN
ejpam-5461	211	23	,	,	PUNCT
ejpam-5461	211	24	βj∈e(g)−{ϱ1,ϱm̂−1	βj∈e(g)−{ϱ1,ϱm̂−1	NOUN
ejpam-5461	211	25	}	}	PUNCT
ejpam-5461	211	26	√	√	PROPN
ejpam-5461	211	27	(	(	PUNCT
ejpam-5461	211	28	ıϖ(βi)ıdg(βi))2	ıϖ(βi)ıdg(βi))2	PROPN
ejpam-5461	211	29	+	+	CCONJ
ejpam-5461	211	30	(	(	PUNCT
ejpam-5461	211	31	ıϖ(βj)ıdg(βj))2	ıϖ(βj)ıdg(βj))2	NOUN
ejpam-5461	211	32	=	=	PUNCT
ejpam-5461	211	33	√	√	PROPN
ejpam-5461	211	34	(	(	PUNCT
ejpam-5461	211	35	ıϖ(β1)ıρ(ϱ1))2	ıϖ(β1)ıρ(ϱ1))2	PROPN
ejpam-5461	211	36	+	+	CCONJ
ejpam-5461	211	37	(	(	PUNCT
ejpam-5461	211	38	ıϖ(β2)(ıρ(ϱ1	ıϖ(β2)(ıρ(ϱ1	NOUN
ejpam-5461	211	39	)	)	PUNCT
ejpam-5461	212	1	+	+	CCONJ
ejpam-5461	212	2	ıρ(ϱ2)))2	ıρ(ϱ2)))2	PROPN
ejpam-5461	213	1	+	+	CCONJ
ejpam-5461	213	2	√	√	INTJ
ejpam-5461	213	3	(	(	PUNCT
ejpam-5461	213	4	ıϖ(βm̂)ıρ(ϱm̂−1))2	ıϖ(βm̂)ıρ(ϱm̂−1))2	X
ejpam-5461	213	5	+	+	CCONJ
ejpam-5461	213	6	(	(	PUNCT
ejpam-5461	213	7	ıϖ(βm̂−1)(ıρ(ϱm̂−1	ıϖ(βm̂−1)(ıρ(ϱm̂−1	PROPN
ejpam-5461	213	8	)	)	PUNCT
ejpam-5461	214	1	+	+	CCONJ
ejpam-5461	214	2	ıρ(ϱm̂−2)))2	ıρ(ϱm̂−2)))2	PRON
ejpam-5461	214	3	m.	m.	PROPN
ejpam-5461	214	4	alqahtani	alqahtani	PROPN
ejpam-5461	214	5	,	,	PUNCT
ejpam-5461	214	6	m.	m.	NOUN
ejpam-5461	214	7	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	214	8	,	,	PUNCT
ejpam-5461	214	9	m.	m.	NOUN
ejpam-5461	214	10	rajeshwari	rajeshwari	PROPN
ejpam-5461	214	11	/	/	SYM
ejpam-5461	214	12	eur	eur	PROPN
ejpam-5461	214	13	.	.	PUNCT
ejpam-5461	215	1	j.	j.	PROPN
ejpam-5461	215	2	pure	pure	PROPN
ejpam-5461	215	3	appl	appl	PROPN
ejpam-5461	215	4	.	.	PROPN
ejpam-5461	215	5	math	math	PROPN
ejpam-5461	215	6	,	,	PUNCT
ejpam-5461	215	7	17	17	NUM
ejpam-5461	215	8	(	(	PUNCT
ejpam-5461	215	9	4	4	NUM
ejpam-5461	215	10	)	)	PUNCT
ejpam-5461	215	11	(	(	PUNCT
ejpam-5461	215	12	2024	2024	NUM
ejpam-5461	215	13	)	)	PUNCT
ejpam-5461	215	14	,	,	PUNCT
ejpam-5461	215	15	2586	2586	NUM
ejpam-5461	215	16	-	-	SYM
ejpam-5461	215	17	2620	2620	NUM
ejpam-5461	215	18	2595	2595	NUM
ejpam-5461	216	1	+	+	CCONJ
ejpam-5461	216	2	∑	∑	PROPN
ejpam-5461	216	3	βi	βi	X
ejpam-5461	216	4	,	,	PUNCT
ejpam-5461	216	5	βj∈e(g)−{ϱ1,ϱm̂−1	βj∈e(g)−{ϱ1,ϱm̂−1	NOUN
ejpam-5461	216	6	}	}	PUNCT
ejpam-5461	216	7	√	√	PROPN
ejpam-5461	216	8	(	(	PUNCT
ejpam-5461	216	9	ıϖ(βi)(ıρ(ϱi	ıϖ(βi)(ıρ(ϱi	NOUN
ejpam-5461	216	10	)	)	PUNCT
ejpam-5461	216	11	+	+	NUM
ejpam-5461	216	12	ıρ(ϱj+1)))2	ıρ(ϱj+1)))2	NOUN
ejpam-5461	216	13	+	+	CCONJ
ejpam-5461	216	14	(	(	PUNCT
ejpam-5461	216	15	ıϖ(βj)(ıρ(ϱj	ıϖ(βj)(ıρ(ϱj	NUM
ejpam-5461	216	16	)	)	PUNCT
ejpam-5461	217	1	+	+	CCONJ
ejpam-5461	217	2	ρ(ϱj+1)))2	ρ(ϱj+1)))2	NOUN
ejpam-5461	217	3	=	=	SYM
ejpam-5461	217	4	√	√	NUM
ejpam-5461	217	5	(	(	PUNCT
ejpam-5461	217	6	ıϖ(β1)(ıρ(ϱ1))2	ıϖ(β1)(ıρ(ϱ1))2	NOUN
ejpam-5461	217	7	+	+	CCONJ
ejpam-5461	217	8	(	(	PUNCT
ejpam-5461	217	9	ıϖ(β2)2(ıρ(ϱi)2	ıϖ(β2)2(ıρ(ϱi)2	NOUN
ejpam-5461	217	10	+	+	PUNCT
ejpam-5461	217	11	ıρ(ϱ2)2	ıρ(ϱ2)2	NOUN
ejpam-5461	217	12	)	)	PUNCT
ejpam-5461	217	13	+	+	NUM
ejpam-5461	217	14	2ıρ(ϱ1)ıρ(ϱ2	2ıρ(ϱ1)ıρ(ϱ2	NUM
ejpam-5461	217	15	)	)	PUNCT
ejpam-5461	217	16	)	)	PUNCT
ejpam-5461	218	1	+	+	CCONJ
ejpam-5461	218	2	√	√	NOUN
ejpam-5461	218	3	ıϖ(βm̂)2ıρ(ϱm̂−1)2	ıϖ(βm̂)2ıρ(ϱm̂−1)2	VERB
ejpam-5461	218	4	+	+	CCONJ
ejpam-5461	218	5	(	(	PUNCT
ejpam-5461	218	6	ıϖ(βm̂−1)2(ıρ(ϱm̂−1)2	ıϖ(βm̂−1)2(ıρ(ϱm̂−1)2	VERB
ejpam-5461	218	7	+	+	CCONJ
ejpam-5461	218	8	ıρ(ϱm̂−2)2	ıρ(ϱm̂−2)2	NUM
ejpam-5461	218	9	+	+	CCONJ
ejpam-5461	218	10	2ıρ(ϱm̂−1)ıρ(ϱm̂−2	2ıρ(ϱm̂−1)ıρ(ϱm̂−2	NUM
ejpam-5461	218	11	)	)	PUNCT
ejpam-5461	218	12	)	)	PUNCT
ejpam-5461	218	13	)	)	PUNCT
ejpam-5461	219	1	+	+	CCONJ
ejpam-5461	219	2	∑	∑	PROPN
ejpam-5461	219	3	βi	βi	X
ejpam-5461	219	4	,	,	PUNCT
ejpam-5461	219	5	βj∈e(g)−{ϱ1,ϱm̂−1	βj∈e(g)−{ϱ1,ϱm̂−1	VERB
ejpam-5461	219	6	}	}	PUNCT
ejpam-5461	219	7	√√√√(ıϖ(βi	√√√√(ıϖ(βi	NOUN
ejpam-5461	219	8	)	)	PUNCT
ejpam-5461	219	9	2(ıρ(ϱi	2(ıρ(ϱi	NUM
ejpam-5461	219	10	)	)	PUNCT
ejpam-5461	219	11	2	2	NUM
ejpam-5461	219	12	+	+	CCONJ
ejpam-5461	219	13	ıρ(ϱi+1	ıρ(ϱi+1	X
ejpam-5461	219	14	)	)	PUNCT
ejpam-5461	219	15	2	2	NUM
ejpam-5461	219	16	+	+	CCONJ
ejpam-5461	219	17	2ıρ(ϱi)ıρ(ϱi+1	2ıρ(ϱi)ıρ(ϱi+1	NUM
ejpam-5461	219	18	)	)	PUNCT
ejpam-5461	219	19	)	)	PUNCT
ejpam-5461	219	20	)	)	PUNCT
ejpam-5461	220	1	+	+	CCONJ
ejpam-5461	220	2	(	(	PUNCT
ejpam-5461	220	3	ıϖ(βj	ıϖ(βj	PROPN
ejpam-5461	220	4	)	)	PUNCT
ejpam-5461	220	5	2(ıρ(ϱj	2(ıρ(ϱj	NUM
ejpam-5461	220	6	)	)	PUNCT
ejpam-5461	220	7	2	2	NUM
ejpam-5461	220	8	+	+	CCONJ
ejpam-5461	220	9	ıρ(ϱj+1	ıρ(ϱj+1	NOUN
ejpam-5461	220	10	)	)	PUNCT
ejpam-5461	220	11	2	2	NUM
ejpam-5461	220	12	+	+	CCONJ
ejpam-5461	220	13	2ıρ(ϱj)ıρ(ϱj+1	2ıρ(ϱj)ıρ(ϱj+1	NUM
ejpam-5461	220	14	)	)	PUNCT
ejpam-5461	220	15	)	)	PUNCT
ejpam-5461	220	16	)	)	PUNCT
ejpam-5461	220	17	,	,	PUNCT
ejpam-5461	220	18	since	since	SCONJ
ejpam-5461	220	19	0	0	NUM
ejpam-5461	220	20	≤	≤	NUM
ejpam-5461	220	21	ıϖ(α	ıϖ(α	NOUN
ejpam-5461	220	22	)	)	PUNCT
ejpam-5461	220	23	≤	≤	NUM
ejpam-5461	220	24	1	1	NUM
ejpam-5461	220	25	and	and	CCONJ
ejpam-5461	220	26	0	0	NUM
ejpam-5461	220	27	≤	≤	NOUN
ejpam-5461	220	28	ıρ(ϱ	ıρ(ϱ	X
ejpam-5461	220	29	)	)	PUNCT
ejpam-5461	220	30	≤	≤	NUM
ejpam-5461	220	31	1	1	NUM
ejpam-5461	220	32	.	.	PUNCT
ejpam-5461	221	1	therefore	therefore	ADV
ejpam-5461	221	2	,	,	PUNCT
ejpam-5461	221	3	isoi(pm̂	isoi(pm̂	PROPN
ejpam-5461	221	4	)	)	PUNCT
ejpam-5461	221	5	=	=	PUNCT
ejpam-5461	221	6	∑	∑	PUNCT
ejpam-5461	221	7	α	α	X
ejpam-5461	221	8	,	,	PUNCT
ejpam-5461	221	9	β∈e(g	β∈e(g	PROPN
ejpam-5461	221	10	)	)	PUNCT
ejpam-5461	222	1	√	√	ADP
ejpam-5461	222	2	12.12	12.12	NUM
ejpam-5461	223	1	+	+	CCONJ
ejpam-5461	223	2	12(12	12(12	NUM
ejpam-5461	223	3	+	+	NUM
ejpam-5461	223	4	12	12	NUM
ejpam-5461	223	5	)	)	PUNCT
ejpam-5461	224	1	+	+	CCONJ
ejpam-5461	224	2	2(1))(1).1	2(1))(1).1	NUM
ejpam-5461	225	1	+	+	CCONJ
ejpam-5461	225	2	√	√	NUM
ejpam-5461	225	3	12.12	12.12	NUM
ejpam-5461	225	4	+	+	NUM
ejpam-5461	225	5	12.12	12.12	NUM
ejpam-5461	225	6	+	+	NUM
ejpam-5461	225	7	12.12	12.12	NUM
ejpam-5461	225	8	+	+	CCONJ
ejpam-5461	225	9	2(12).1.1	2(12).1.1	NUM
ejpam-5461	225	10	=	=	SYM
ejpam-5461	225	11	(	(	PUNCT
ejpam-5461	225	12	m̂−	m̂−	PROPN
ejpam-5461	225	13	3	3	NUM
ejpam-5461	225	14	)	)	PUNCT
ejpam-5461	225	15	√	√	ADP
ejpam-5461	225	16	12.12	12.12	NUM
ejpam-5461	225	17	+	+	CCONJ
ejpam-5461	225	18	12.12	12.12	NUM
ejpam-5461	225	19	+	+	CCONJ
ejpam-5461	225	20	2(12).1.1	2(12).1.1	NUM
ejpam-5461	225	21	+	+	NUM
ejpam-5461	225	22	12.12	12.12	NUM
ejpam-5461	225	23	+	+	NUM
ejpam-5461	225	24	12.12	12.12	NUM
ejpam-5461	225	25	+	+	CCONJ
ejpam-5461	225	26	2(12).1.1	2(12).1.1	NUM
ejpam-5461	225	27	isoi(pm̂	isoi(pm̂	NOUN
ejpam-5461	225	28	)	)	PUNCT
ejpam-5461	225	29	=	=	SYM
ejpam-5461	226	1	2	2	NUM
ejpam-5461	226	2	√	√	NUM
ejpam-5461	226	3	2(m̂−	2(m̂−	NUM
ejpam-5461	226	4	3	3	NUM
ejpam-5461	226	5	)	)	PUNCT
ejpam-5461	226	6	+	+	CCONJ
ejpam-5461	226	7	2	2	NUM
ejpam-5461	226	8	√	√	NUM
ejpam-5461	226	9	5	5	NUM
ejpam-5461	226	10	isoi(pm̂	isoi(pm̂	NOUN
ejpam-5461	226	11	)	)	PUNCT
ejpam-5461	226	12	=	=	SYM
ejpam-5461	226	13	2	2	NUM
ejpam-5461	226	14	(	(	PUNCT
ejpam-5461	226	15	√	√	NUM
ejpam-5461	226	16	2(m̂−	2(m̂−	NUM
ejpam-5461	226	17	3	3	NUM
ejpam-5461	226	18	)	)	PUNCT
ejpam-5461	226	19	+	+	CCONJ
ejpam-5461	226	20	√	√	NUM
ejpam-5461	226	21	5	5	NUM
ejpam-5461	226	22	)	)	PUNCT
ejpam-5461	227	1	(	(	PUNCT
ejpam-5461	227	2	3.4	3.4	NUM
ejpam-5461	227	3	)	)	PUNCT
ejpam-5461	227	4	and	and	CCONJ
ejpam-5461	227	5	fsoi(pm̂	fsoi(pm̂	NUM
ejpam-5461	227	6	)	)	PUNCT
ejpam-5461	228	1	=	=	PUNCT
ejpam-5461	228	2	∑	∑	PUNCT
ejpam-5461	228	3	α	α	X
ejpam-5461	228	4	,	,	PUNCT
ejpam-5461	228	5	β∈e(g	β∈e(g	PROPN
ejpam-5461	228	6	)	)	PUNCT
ejpam-5461	229	1	√	√	PROPN
ejpam-5461	229	2	(	(	PUNCT
ejpam-5461	229	3	𭟋ϖ(α)𭟋dg(α))2	𭟋ϖ(α)𭟋dg(α))2	X
ejpam-5461	229	4	+	+	CCONJ
ejpam-5461	229	5	(	(	PUNCT
ejpam-5461	229	6	𭟋ϖ(β)𭟋dg(β))2	𭟋ϖ(β)𭟋dg(β))2	NOUN
ejpam-5461	229	7	=	=	PUNCT
ejpam-5461	229	8	√	√	PROPN
ejpam-5461	229	9	(	(	PUNCT
ejpam-5461	229	10	𭟋ϖ(β1)𭟋dg(β1))2	𭟋ϖ(β1)𭟋dg(β1))2	X
ejpam-5461	229	11	+	+	CCONJ
ejpam-5461	229	12	(	(	PUNCT
ejpam-5461	229	13	𭟋ϖ(β2)𭟋dg(β2))2	𭟋ϖ(β2)𭟋dg(β2))2	NOUN
ejpam-5461	229	14	+	+	CCONJ
ejpam-5461	229	15	√	√	INTJ
ejpam-5461	229	16	(	(	PUNCT
ejpam-5461	229	17	𭟋ϖ(βm̂−1)𭟋dg(βm̂−1))2	𭟋ϖ(βm̂−1)𭟋dg(βm̂−1))2	NOUN
ejpam-5461	229	18	+	+	CCONJ
ejpam-5461	229	19	(	(	PUNCT
ejpam-5461	229	20	𭟋ϖ(βm̂)𭟋dg(βm̂))2	𭟋ϖ(βm̂)𭟋dg(βm̂))2	NOUN
ejpam-5461	229	21	+	+	CCONJ
ejpam-5461	229	22	∑	∑	PROPN
ejpam-5461	229	23	βi	βi	NOUN
ejpam-5461	229	24	,	,	PUNCT
ejpam-5461	229	25	βj∈e(g)−{ϱ1,ϱm̂−1	βj∈e(g)−{ϱ1,ϱm̂−1	NOUN
ejpam-5461	229	26	}	}	PUNCT
ejpam-5461	229	27	√	√	PROPN
ejpam-5461	229	28	(	(	PUNCT
ejpam-5461	229	29	𭟋ϖ(βi)𭟋dg(βi))2	𭟋ϖ(βi)𭟋dg(βi))2	NOUN
ejpam-5461	229	30	+	+	CCONJ
ejpam-5461	229	31	(	(	PUNCT
ejpam-5461	229	32	𭟋ϖ(βj)𭟋dg(βj))2	𭟋ϖ(βj)𭟋dg(βj))2	X
ejpam-5461	229	33	=	=	SYM
ejpam-5461	229	34	√	√	INTJ
ejpam-5461	229	35	(	(	PUNCT
ejpam-5461	229	36	𭟋ϖ(β1)𭟋ρ(ϱ1))2	𭟋ϖ(β1)𭟋ρ(ϱ1))2	PROPN
ejpam-5461	229	37	+	+	CCONJ
ejpam-5461	229	38	(	(	PUNCT
ejpam-5461	229	39	𭟋ϖ(β2)(𭟋ρ(ϱ1	𭟋ϖ(β2)(𭟋ρ(ϱ1	NOUN
ejpam-5461	229	40	)	)	PUNCT
ejpam-5461	230	1	+	+	NOUN
ejpam-5461	230	2	𭟋ρ(ϱ2)))2	𭟋ρ(ϱ2)))2	X
ejpam-5461	230	3	+	+	CCONJ
ejpam-5461	230	4	√	√	INTJ
ejpam-5461	230	5	(	(	PUNCT
ejpam-5461	230	6	𭟋ϖ(βm̂)𭟋ρ(ϱm̂−1))2	𭟋ϖ(βm̂)𭟋ρ(ϱm̂−1))2	X
ejpam-5461	230	7	+	+	CCONJ
ejpam-5461	230	8	(	(	PUNCT
ejpam-5461	230	9	𭟋ϖ(βm̂−1)(𭟋ρ(ϱm̂−1	𭟋ϖ(βm̂−1)(𭟋ρ(ϱm̂−1	PROPN
ejpam-5461	230	10	)	)	PUNCT
ejpam-5461	230	11	+	+	NOUN
ejpam-5461	230	12	𭟋ρ(ϱm̂−2)))2	𭟋ρ(ϱm̂−2)))2	X
ejpam-5461	230	13	+	+	CCONJ
ejpam-5461	230	14	∑	∑	PROPN
ejpam-5461	230	15	βi	βi	NOUN
ejpam-5461	230	16	,	,	PUNCT
ejpam-5461	230	17	βj∈e(g)−{ϱ1,ϱm̂−1	βj∈e(g)−{ϱ1,ϱm̂−1	NOUN
ejpam-5461	230	18	}	}	PUNCT
ejpam-5461	230	19	√	√	PROPN
ejpam-5461	230	20	(	(	PUNCT
ejpam-5461	230	21	𭟋ϖ(βi)(𭟋ρ(ϱi	𭟋ϖ(βi)(𭟋ρ(ϱi	NOUN
ejpam-5461	230	22	)	)	PUNCT
ejpam-5461	230	23	+	+	ADP
ejpam-5461	230	24	𭟋ρ(ϱj+1)))2	𭟋ρ(ϱj+1)))2	NOUN
ejpam-5461	230	25	+	+	CCONJ
ejpam-5461	230	26	(	(	PUNCT
ejpam-5461	230	27	𭟋ϖ(βj)(𭟋ρ(ϱj	𭟋ϖ(βj)(𭟋ρ(ϱj	NOUN
ejpam-5461	230	28	)	)	PUNCT
ejpam-5461	230	29	+	+	NUM
ejpam-5461	230	30	ρ(ϱj+1)))2	ρ(ϱj+1)))2	NOUN
ejpam-5461	230	31	=	=	SYM
ejpam-5461	230	32	√	√	NUM
ejpam-5461	230	33	(	(	PUNCT
ejpam-5461	230	34	𭟋ϖ(β1)(𭟋ρ(ϱ1))2	𭟋ϖ(β1)(𭟋ρ(ϱ1))2	NOUN
ejpam-5461	230	35	+	+	CCONJ
ejpam-5461	230	36	(	(	PUNCT
ejpam-5461	230	37	𭟋ϖ(β2)2(𭟋ρ(ϱi)2	𭟋ϖ(β2)2(𭟋ρ(ϱi)2	X
ejpam-5461	230	38	+	+	PUNCT
ejpam-5461	230	39	𭟋ρ(ϱ2)2	𭟋ρ(ϱ2)2	NOUN
ejpam-5461	230	40	)	)	PUNCT
ejpam-5461	230	41	+	+	NUM
ejpam-5461	230	42	2𭟋ρ(ϱ1)𭟋ρ(ϱ2	2𭟋ρ(ϱ1)𭟋ρ(ϱ2	NUM
ejpam-5461	230	43	)	)	PUNCT
ejpam-5461	230	44	+	+	CCONJ
ejpam-5461	230	45	√	√	ADP
ejpam-5461	230	46	𭟋ϖ(βm̂)2𭟋ρ(ϱm̂−1)2	𭟋ϖ(βm̂)2𭟋ρ(ϱm̂−1)2	VERB
ejpam-5461	230	47	+	+	CCONJ
ejpam-5461	230	48	(	(	PUNCT
ejpam-5461	230	49	𭟋ϖ(βm̂−1)2(𭟋ρ(ϱm̂−1)2	𭟋ϖ(βm̂−1)2(𭟋ρ(ϱm̂−1)2	VERB
ejpam-5461	230	50	+	+	NOUN
ejpam-5461	230	51	𭟋ρ(ϱm̂−2)2	𭟋ρ(ϱm̂−2)2	PUNCT
ejpam-5461	230	52	+	+	NUM
ejpam-5461	230	53	2𭟋ρ(ϱm̂−1)𭟋ρ(ϱm̂−2	2𭟋ρ(ϱm̂−1)𭟋ρ(ϱm̂−2	NUM
ejpam-5461	230	54	)	)	PUNCT
ejpam-5461	230	55	)	)	PUNCT
ejpam-5461	230	56	)	)	PUNCT
ejpam-5461	231	1	+	+	CCONJ
ejpam-5461	231	2	∑	∑	PROPN
ejpam-5461	231	3	βi	βi	X
ejpam-5461	231	4	,	,	PUNCT
ejpam-5461	231	5	βj∈e(g)−{ϱ1,ϱm̂−1	βj∈e(g)−{ϱ1,ϱm̂−1	VERB
ejpam-5461	231	6	}	}	PUNCT
ejpam-5461	231	7	√√√√(𭟋ϖ(βi	√√√√(𭟋ϖ(βi	ADJ
ejpam-5461	231	8	)	)	PUNCT
ejpam-5461	231	9	2(𭟋ρ(ϱi	2(𭟋ρ(ϱi	NUM
ejpam-5461	231	10	)	)	PUNCT
ejpam-5461	231	11	2	2	NUM
ejpam-5461	232	1	+	+	NOUN
ejpam-5461	232	2	𭟋ρ(ϱi+1	𭟋ρ(ϱi+1	ADJ
ejpam-5461	232	3	)	)	PUNCT
ejpam-5461	232	4	2	2	NUM
ejpam-5461	232	5	+	+	SYM
ejpam-5461	232	6	2𭟋ρ(ϱi)𭟋ρ(ϱi+1	2𭟋ρ(ϱi)𭟋ρ(ϱi+1	NUM
ejpam-5461	232	7	)	)	PUNCT
ejpam-5461	232	8	)	)	PUNCT
ejpam-5461	232	9	)	)	PUNCT
ejpam-5461	233	1	+	+	CCONJ
ejpam-5461	233	2	(	(	PUNCT
ejpam-5461	233	3	𭟋ϖ(βj	𭟋ϖ(βj	PROPN
ejpam-5461	233	4	)	)	PUNCT
ejpam-5461	233	5	2(𭟋ρ(ϱj	2(𭟋ρ(ϱj	NUM
ejpam-5461	233	6	)	)	PUNCT
ejpam-5461	233	7	2	2	NUM
ejpam-5461	233	8	+	+	SYM
ejpam-5461	233	9	𭟋ρ(ϱj+1	𭟋ρ(ϱj+1	NOUN
ejpam-5461	233	10	)	)	PUNCT
ejpam-5461	233	11	2	2	NUM
ejpam-5461	233	12	+	+	CCONJ
ejpam-5461	233	13	2𭟋ρ(ϱj)𭟋ρ(ϱj+1	2𭟋ρ(ϱj)𭟋ρ(ϱj+1	NUM
ejpam-5461	233	14	)	)	PUNCT
ejpam-5461	233	15	)	)	PUNCT
ejpam-5461	233	16	)	)	PUNCT
ejpam-5461	233	17	,	,	PUNCT
ejpam-5461	233	18	m.	m.	NOUN
ejpam-5461	233	19	alqahtani	alqahtani	PROPN
ejpam-5461	233	20	,	,	PUNCT
ejpam-5461	233	21	m.	m.	NOUN
ejpam-5461	233	22	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	233	23	,	,	PUNCT
ejpam-5461	233	24	m.	m.	NOUN
ejpam-5461	233	25	rajeshwari	rajeshwari	PROPN
ejpam-5461	233	26	/	/	SYM
ejpam-5461	233	27	eur	eur	PROPN
ejpam-5461	233	28	.	.	PUNCT
ejpam-5461	234	1	j.	j.	PROPN
ejpam-5461	234	2	pure	pure	PROPN
ejpam-5461	234	3	appl	appl	PROPN
ejpam-5461	234	4	.	.	PROPN
ejpam-5461	234	5	math	math	PROPN
ejpam-5461	234	6	,	,	PUNCT
ejpam-5461	234	7	17	17	NUM
ejpam-5461	234	8	(	(	PUNCT
ejpam-5461	234	9	4	4	NUM
ejpam-5461	234	10	)	)	PUNCT
ejpam-5461	234	11	(	(	PUNCT
ejpam-5461	234	12	2024	2024	NUM
ejpam-5461	234	13	)	)	PUNCT
ejpam-5461	234	14	,	,	PUNCT
ejpam-5461	234	15	2586	2586	NUM
ejpam-5461	234	16	-	-	SYM
ejpam-5461	234	17	2620	2620	NUM
ejpam-5461	234	18	2596	2596	NUM
ejpam-5461	234	19	since	since	SCONJ
ejpam-5461	234	20	0	0	NUM
ejpam-5461	234	21	≤	≤	NOUN
ejpam-5461	234	22	𭟋ϖ(β	𭟋ϖ(β	NOUN
ejpam-5461	234	23	)	)	PUNCT
ejpam-5461	234	24	≤	≤	NUM
ejpam-5461	234	25	1	1	NUM
ejpam-5461	234	26	and	and	CCONJ
ejpam-5461	234	27	0	0	NUM
ejpam-5461	234	28	≤	≤	NOUN
ejpam-5461	234	29	𭟋ρ(ϱ	𭟋ρ(ϱ	PUNCT
ejpam-5461	234	30	)	)	PUNCT
ejpam-5461	234	31	≤	≤	NUM
ejpam-5461	234	32	1	1	NUM
ejpam-5461	234	33	.	.	PUNCT
ejpam-5461	235	1	therefore	therefore	ADV
ejpam-5461	235	2	,	,	PUNCT
ejpam-5461	235	3	fsoi(pm̂	fsoi(pm̂	PRON
ejpam-5461	235	4	)	)	PUNCT
ejpam-5461	235	5	=	=	PUNCT
ejpam-5461	235	6	∑	∑	PUNCT
ejpam-5461	235	7	α	α	X
ejpam-5461	235	8	,	,	PUNCT
ejpam-5461	235	9	β∈e(g	β∈e(g	PROPN
ejpam-5461	235	10	)	)	PUNCT
ejpam-5461	235	11	√	√	ADP
ejpam-5461	235	12	12.12	12.12	NUM
ejpam-5461	235	13	+	+	CCONJ
ejpam-5461	235	14	12(12	12(12	NUM
ejpam-5461	235	15	+	+	NUM
ejpam-5461	235	16	12	12	NUM
ejpam-5461	235	17	)	)	PUNCT
ejpam-5461	236	1	+	+	CCONJ
ejpam-5461	236	2	2(1))(1).1	2(1))(1).1	NUM
ejpam-5461	237	1	+	+	CCONJ
ejpam-5461	237	2	√	√	NUM
ejpam-5461	237	3	12.12	12.12	NUM
ejpam-5461	237	4	+	+	NUM
ejpam-5461	237	5	12.12	12.12	NUM
ejpam-5461	237	6	+	+	NUM
ejpam-5461	237	7	12.12	12.12	NUM
ejpam-5461	237	8	+	+	CCONJ
ejpam-5461	237	9	2(12).1.1	2(12).1.1	NUM
ejpam-5461	237	10	=	=	SYM
ejpam-5461	237	11	(	(	PUNCT
ejpam-5461	237	12	m̂−	m̂−	PROPN
ejpam-5461	237	13	3	3	NUM
ejpam-5461	237	14	)	)	PUNCT
ejpam-5461	237	15	√	√	ADP
ejpam-5461	237	16	12.12	12.12	NUM
ejpam-5461	237	17	+	+	CCONJ
ejpam-5461	237	18	12.12	12.12	NUM
ejpam-5461	237	19	+	+	CCONJ
ejpam-5461	237	20	2(12).1.1	2(12).1.1	NUM
ejpam-5461	237	21	+	+	NUM
ejpam-5461	237	22	12.12	12.12	NUM
ejpam-5461	237	23	+	+	NUM
ejpam-5461	237	24	12.12	12.12	NUM
ejpam-5461	237	25	+	+	CCONJ
ejpam-5461	237	26	2(12).1.1	2(12).1.1	NUM
ejpam-5461	237	27	fsoi(pm̂	fsoi(pm̂	NUM
ejpam-5461	237	28	)	)	PUNCT
ejpam-5461	237	29	=	=	SYM
ejpam-5461	238	1	2	2	NUM
ejpam-5461	238	2	√	√	NUM
ejpam-5461	238	3	2(m̂−	2(m̂−	NUM
ejpam-5461	238	4	3	3	NUM
ejpam-5461	238	5	)	)	PUNCT
ejpam-5461	238	6	+	+	CCONJ
ejpam-5461	238	7	2	2	NUM
ejpam-5461	238	8	√	√	NUM
ejpam-5461	238	9	5	5	NUM
ejpam-5461	238	10	fsoi(pm̂	fsoi(pm̂	NUM
ejpam-5461	238	11	)	)	PUNCT
ejpam-5461	238	12	=	=	SYM
ejpam-5461	238	13	2	2	NUM
ejpam-5461	238	14	(	(	PUNCT
ejpam-5461	238	15	√	√	NUM
ejpam-5461	238	16	2(m̂−	2(m̂−	NUM
ejpam-5461	238	17	3	3	NUM
ejpam-5461	238	18	)	)	PUNCT
ejpam-5461	239	1	+	+	CCONJ
ejpam-5461	239	2	√	√	NUM
ejpam-5461	239	3	5	5	NUM
ejpam-5461	239	4	)	)	PUNCT
ejpam-5461	239	5	.	.	PUNCT
ejpam-5461	240	1	(	(	PUNCT
ejpam-5461	240	2	3.5	3.5	NUM
ejpam-5461	240	3	)	)	PUNCT
ejpam-5461	240	4	substitute	substitute	NOUN
ejpam-5461	240	5	(	(	PUNCT
ejpam-5461	240	6	3.3	3.3	NUM
ejpam-5461	240	7	)	)	PUNCT
ejpam-5461	240	8	,	,	PUNCT
ejpam-5461	240	9	(	(	PUNCT
ejpam-5461	240	10	3.4	3.4	NUM
ejpam-5461	240	11	)	)	PUNCT
ejpam-5461	240	12	and	and	CCONJ
ejpam-5461	240	13	(	(	PUNCT
ejpam-5461	240	14	3.5	3.5	NUM
ejpam-5461	240	15	)	)	PUNCT
ejpam-5461	240	16	in	in	ADP
ejpam-5461	240	17	(	(	PUNCT
ejpam-5461	240	18	3.2	3.2	NUM
ejpam-5461	240	19	)	)	PUNCT
ejpam-5461	240	20	,	,	PUNCT
ejpam-5461	240	21	nsoi(pm̂	nsoi(pm̂	PROPN
ejpam-5461	240	22	)	)	PUNCT
ejpam-5461	240	23	=	=	SYM
ejpam-5461	240	24	2	2	NUM
ejpam-5461	240	25	(	(	PUNCT
ejpam-5461	240	26	√	√	NUM
ejpam-5461	240	27	2(m̂−	2(m̂−	NUM
ejpam-5461	240	28	3	3	NUM
ejpam-5461	240	29	)	)	PUNCT
ejpam-5461	240	30	+	+	CCONJ
ejpam-5461	240	31	√	√	NUM
ejpam-5461	240	32	5	5	NUM
ejpam-5461	240	33	)	)	PUNCT
ejpam-5461	240	34	+	+	CCONJ
ejpam-5461	240	35	2	2	NUM
ejpam-5461	240	36	(	(	PUNCT
ejpam-5461	240	37	√	√	NUM
ejpam-5461	240	38	2(m̂−	2(m̂−	NUM
ejpam-5461	240	39	3	3	NUM
ejpam-5461	240	40	)	)	PUNCT
ejpam-5461	240	41	+	+	CCONJ
ejpam-5461	240	42	√	√	NUM
ejpam-5461	240	43	5	5	NUM
ejpam-5461	240	44	)	)	PUNCT
ejpam-5461	240	45	+	+	CCONJ
ejpam-5461	240	46	2	2	NUM
ejpam-5461	240	47	(	(	PUNCT
ejpam-5461	240	48	√	√	NUM
ejpam-5461	240	49	2(m̂−	2(m̂−	NUM
ejpam-5461	240	50	3	3	NUM
ejpam-5461	240	51	)	)	PUNCT
ejpam-5461	240	52	+	+	CCONJ
ejpam-5461	240	53	√	√	NUM
ejpam-5461	240	54	5	5	NUM
ejpam-5461	240	55	)	)	PUNCT
ejpam-5461	240	56	=	=	SYM
ejpam-5461	240	57	6	6	NUM
ejpam-5461	240	58	(	(	PUNCT
ejpam-5461	240	59	√	√	NUM
ejpam-5461	240	60	2(m̂−	2(m̂−	NUM
ejpam-5461	240	61	3	3	NUM
ejpam-5461	240	62	)	)	PUNCT
ejpam-5461	240	63	+	+	CCONJ
ejpam-5461	240	64	√	√	NUM
ejpam-5461	240	65	5	5	NUM
ejpam-5461	240	66	)	)	PUNCT
ejpam-5461	240	67	.	.	PUNCT
ejpam-5461	241	1	hance	hance	PROPN
ejpam-5461	241	2	proof	proof	NOUN
ejpam-5461	241	3	is	be	AUX
ejpam-5461	241	4	compete	compete	ADJ
ejpam-5461	241	5	.	.	PUNCT
ejpam-5461	242	1	theorem	theorem	NOUN
ejpam-5461	242	2	2	2	NUM
ejpam-5461	242	3	.	.	PUNCT
ejpam-5461	243	1	let	let	VERB
ejpam-5461	243	2	cm̂	cm̂	NOUN
ejpam-5461	243	3	denote	denote	VERB
ejpam-5461	243	4	a	a	DET
ejpam-5461	243	5	neutrosophic	neutrosophic	ADJ
ejpam-5461	243	6	cycle	cycle	NOUN
ejpam-5461	243	7	graph	graph	NOUN
ejpam-5461	243	8	respectively	respectively	ADV
ejpam-5461	243	9	,	,	PUNCT
ejpam-5461	243	10	then	then	ADV
ejpam-5461	243	11	nsoi(cm̂	nsoi(cm̂	NUM
ejpam-5461	243	12	)	)	PUNCT
ejpam-5461	243	13	≤	≤	NOUN
ejpam-5461	243	14	6	6	NUM
ejpam-5461	243	15	√	√	NUM
ejpam-5461	243	16	2m̂.	2m̂.	NUM
ejpam-5461	243	17	proof	proof	NOUN
ejpam-5461	243	18	.	.	PUNCT
ejpam-5461	244	1	let	let	VERB
ejpam-5461	244	2	g	g	PROPN
ejpam-5461	244	3	=	=	NOUN
ejpam-5461	244	4	cm̂	cm̂	PROPN
ejpam-5461	244	5	be	be	AUX
ejpam-5461	244	6	a	a	DET
ejpam-5461	244	7	neutrosophic	neutrosophic	ADJ
ejpam-5461	244	8	cycle	cycle	NOUN
ejpam-5461	244	9	with	with	ADP
ejpam-5461	244	10	v(cm̂	v(cm̂	NOUN
ejpam-5461	244	11	)	)	PUNCT
ejpam-5461	245	1	=	=	PRON
ejpam-5461	245	2	{	{	PUNCT
ejpam-5461	245	3	v1	v1	PROPN
ejpam-5461	245	4	,	,	PUNCT
ejpam-5461	245	5	v2	v2	PROPN
ejpam-5461	245	6	,	,	PUNCT
ejpam-5461	245	7	v3	v3	PROPN
ejpam-5461	245	8	,	,	PUNCT
ejpam-5461	245	9	...	...	PUNCT
ejpam-5461	245	10	,	,	PUNCT
ejpam-5461	245	11	vm̂	vm̂	PROPN
ejpam-5461	245	12	}	}	PUNCT
ejpam-5461	245	13	and	and	CCONJ
ejpam-5461	245	14	e(cm̂	e(cm̂	VERB
ejpam-5461	245	15	)	)	PUNCT
ejpam-5461	245	16	=	=	PRON
ejpam-5461	245	17	{	{	PUNCT
ejpam-5461	245	18	ϱ1	ϱ1	NOUN
ejpam-5461	245	19	,	,	PUNCT
ejpam-5461	245	20	ϱ2	ϱ2	NOUN
ejpam-5461	245	21	,	,	PUNCT
ejpam-5461	245	22	ϱ3	ϱ3	NOUN
ejpam-5461	245	23	,	,	PUNCT
ejpam-5461	245	24	...	...	PUNCT
ejpam-5461	245	25	,	,	PUNCT
ejpam-5461	245	26	ϱm̂−1	ϱm̂−1	ADP
ejpam-5461	245	27	}	}	PUNCT
ejpam-5461	245	28	.	.	PUNCT
ejpam-5461	246	1	let	let	VERB
ejpam-5461	246	2	ϖ1	ϖ1	VERB
ejpam-5461	246	3	,	,	PUNCT
ejpam-5461	246	4	ϖ2	ϖ2	NOUN
ejpam-5461	246	5	,	,	PUNCT
ejpam-5461	246	6	ϖ3	ϖ3	NOUN
ejpam-5461	246	7	,	,	PUNCT
ejpam-5461	246	8	...	...	PUNCT
ejpam-5461	246	9	,	,	PUNCT
ejpam-5461	246	10	ϖm̂	ϖm̂	NOUN
ejpam-5461	246	11	and	and	CCONJ
ejpam-5461	246	12	ρ1	ρ1	NOUN
ejpam-5461	246	13	,	,	PUNCT
ejpam-5461	246	14	ρ2	ρ2	NOUN
ejpam-5461	246	15	,	,	PUNCT
ejpam-5461	246	16	ρ3	ρ3	NOUN
ejpam-5461	246	17	,	,	PUNCT
ejpam-5461	246	18	...	...	PUNCT
ejpam-5461	246	19	,	,	PUNCT
ejpam-5461	246	20	ρm̂−1	ρm̂−1	NOUN
ejpam-5461	246	21	be	be	AUX
ejpam-5461	246	22	the	the	DET
ejpam-5461	246	23	there	there	NOUN
ejpam-5461	246	24	of	of	ADP
ejpam-5461	246	25	type	type	NOUN
ejpam-5461	246	26	of	of	ADP
ejpam-5461	246	27	mvs	mvs	NOUN
ejpam-5461	246	28	of	of	ADP
ejpam-5461	246	29	vertices	vertex	NOUN
ejpam-5461	246	30	and	and	CCONJ
ejpam-5461	246	31	edges	edge	NOUN
ejpam-5461	246	32	of	of	ADP
ejpam-5461	246	33	cm̂	cm̂	NOUN
ejpam-5461	246	34	respectively	respectively	ADV
ejpam-5461	246	35	.	.	PUNCT
ejpam-5461	247	1	then	then	ADV
ejpam-5461	247	2	,	,	PUNCT
ejpam-5461	247	3	clearly	clearly	ADV
ejpam-5461	247	4	dg(βi	dg(βi	NUM
ejpam-5461	247	5	)	)	PUNCT
ejpam-5461	247	6	=	=	SYM
ejpam-5461	248	1	ρ(ϱi	ρ(ϱi	NOUN
ejpam-5461	248	2	)	)	PUNCT
ejpam-5461	249	1	+	+	NUM
ejpam-5461	249	2	ρ(ϱi+1	ρ(ϱi+1	NUM
ejpam-5461	249	3	)	)	PUNCT
ejpam-5461	249	4	.	.	PUNCT
ejpam-5461	250	1	therefore	therefore	ADV
ejpam-5461	250	2	,	,	PUNCT
ejpam-5461	250	3	nsoi(cm̂	nsoi(cm̂	NOUN
ejpam-5461	250	4	)	)	PUNCT
ejpam-5461	250	5	=	=	SYM
ejpam-5461	250	6	tsoi(cm̂	tsoi(cm̂	NUM
ejpam-5461	250	7	)	)	PUNCT
ejpam-5461	250	8	+	+	PUNCT
ejpam-5461	251	1	isoi(cm̂	isoi(cm̂	NOUN
ejpam-5461	251	2	)	)	PUNCT
ejpam-5461	252	1	+	+	NUM
ejpam-5461	252	2	fsoi(cm̂	fsoi(cm̂	NOUN
ejpam-5461	252	3	)	)	PUNCT
ejpam-5461	252	4	(	(	PUNCT
ejpam-5461	252	5	3.6	3.6	NUM
ejpam-5461	252	6	)	)	PUNCT
ejpam-5461	252	7	tsoi(cm̂	tsoi(cm̂	NUM
ejpam-5461	252	8	)	)	PUNCT
ejpam-5461	253	1	=	=	PUNCT
ejpam-5461	253	2	∑	∑	PUNCT
ejpam-5461	253	3	α	α	X
ejpam-5461	253	4	,	,	PUNCT
ejpam-5461	253	5	β∈e(g	β∈e(g	PROPN
ejpam-5461	253	6	)	)	PUNCT
ejpam-5461	254	1	√	√	PROPN
ejpam-5461	254	2	(	(	PUNCT
ejpam-5461	254	3	τϖ(α)τdg(α))2	τϖ(α)τdg(α))2	X
ejpam-5461	254	4	+	+	CCONJ
ejpam-5461	254	5	(	(	PUNCT
ejpam-5461	254	6	τϖ(β)τdg(β))2	τϖ(β)τdg(β))2	X
ejpam-5461	254	7	=	=	SYM
ejpam-5461	254	8	∑	∑	PUNCT
ejpam-5461	254	9	βi	βi	X
ejpam-5461	254	10	,	,	PUNCT
ejpam-5461	254	11	βj∈e(g	βj∈e(g	NUM
ejpam-5461	254	12	)	)	PUNCT
ejpam-5461	254	13	√	√	PROPN
ejpam-5461	254	14	(	(	PUNCT
ejpam-5461	254	15	τϖ(βi)(τρ(ϱi	τϖ(βi)(τρ(ϱi	PROPN
ejpam-5461	254	16	)	)	PUNCT
ejpam-5461	255	1	+	+	CCONJ
ejpam-5461	255	2	τρ(ϱi+1)))2	τρ(ϱi+1)))2	PRON
ejpam-5461	255	3	+	+	CCONJ
ejpam-5461	255	4	√	√	ADJ
ejpam-5461	255	5	(	(	PUNCT
ejpam-5461	255	6	τϖ(βj)(τρ(ϱj	τϖ(βj)(τρ(ϱj	ADV
ejpam-5461	255	7	)	)	PUNCT
ejpam-5461	255	8	+	+	NUM
ejpam-5461	255	9	τρ(ϱj+1)))2	τρ(ϱj+1)))2	NUM
ejpam-5461	255	10	+	+	CCONJ
ejpam-5461	255	11	∑	∑	PROPN
ejpam-5461	255	12	βi	βi	X
ejpam-5461	255	13	,	,	PUNCT
ejpam-5461	255	14	βj∈e(g	βj∈e(g	NUM
ejpam-5461	255	15	)	)	PUNCT
ejpam-5461	255	16	√√√√(τϖ(βi	√√√√(τϖ(βi	NOUN
ejpam-5461	255	17	)	)	PUNCT
ejpam-5461	255	18	2(τρ(ϱi	2(τρ(ϱi	NUM
ejpam-5461	255	19	)	)	PUNCT
ejpam-5461	255	20	2	2	NUM
ejpam-5461	256	1	+	+	SYM
ejpam-5461	256	2	τρ(ϱi+1	τρ(ϱi+1	NOUN
ejpam-5461	256	3	)	)	PUNCT
ejpam-5461	256	4	2	2	NUM
ejpam-5461	257	1	+	+	SYM
ejpam-5461	257	2	2τρ(ϱi)τρ(ϱi+1	2τρ(ϱi)τρ(ϱi+1	NUM
ejpam-5461	257	3	)	)	PUNCT
ejpam-5461	257	4	)	)	PUNCT
ejpam-5461	257	5	)	)	PUNCT
ejpam-5461	258	1	+	+	CCONJ
ejpam-5461	258	2	(	(	PUNCT
ejpam-5461	258	3	τϖ(βj	τϖ(βj	NOUN
ejpam-5461	258	4	)	)	PUNCT
ejpam-5461	258	5	2(τρ(ϱj	2(τρ(ϱj	NUM
ejpam-5461	258	6	)	)	PUNCT
ejpam-5461	258	7	2	2	NUM
ejpam-5461	258	8	+	+	CCONJ
ejpam-5461	258	9	τρ(ϱj+1	τρ(ϱj+1	PROPN
ejpam-5461	258	10	)	)	PUNCT
ejpam-5461	258	11	2	2	NUM
ejpam-5461	258	12	+	+	CCONJ
ejpam-5461	258	13	2τρ(ϱj)τρ(ϱj+1	2τρ(ϱj)τρ(ϱj+1	NUM
ejpam-5461	258	14	)	)	PUNCT
ejpam-5461	258	15	)	)	PUNCT
ejpam-5461	258	16	)	)	PUNCT
ejpam-5461	258	17	,	,	PUNCT
ejpam-5461	258	18	since	since	SCONJ
ejpam-5461	258	19	0	0	NUM
ejpam-5461	258	20	≤	≤	NUM
ejpam-5461	258	21	τϖ(β	τϖ(β	NOUN
ejpam-5461	258	22	)	)	PUNCT
ejpam-5461	258	23	≤	≤	NUM
ejpam-5461	258	24	1	1	NUM
ejpam-5461	258	25	and	and	CCONJ
ejpam-5461	258	26	0	0	NUM
ejpam-5461	258	27	≤	≤	NUM
ejpam-5461	258	28	τρ(ϱ	τρ(ϱ	NOUN
ejpam-5461	258	29	)	)	PUNCT
ejpam-5461	258	30	≤	≤	NUM
ejpam-5461	258	31	1	1	NUM
ejpam-5461	258	32	.	.	PUNCT
ejpam-5461	258	33	therefore	therefore	ADV
ejpam-5461	258	34	,	,	PUNCT
ejpam-5461	258	35	tsoi(cm̂	tsoi(cm̂	PROPN
ejpam-5461	258	36	)	)	PUNCT
ejpam-5461	258	37	≤	≤	NOUN
ejpam-5461	258	38	n	n	CCONJ
ejpam-5461	258	39	√	√	ADV
ejpam-5461	258	40	12.12	12.12	NUM
ejpam-5461	258	41	+	+	CCONJ
ejpam-5461	258	42	12.12	12.12	NUM
ejpam-5461	258	43	+	+	CCONJ
ejpam-5461	258	44	2(12).1.1	2(12).1.1	NUM
ejpam-5461	258	45	+	+	NUM
ejpam-5461	258	46	12.12	12.12	NUM
ejpam-5461	258	47	+	+	NUM
ejpam-5461	258	48	12.12	12.12	NUM
ejpam-5461	258	49	+	+	CCONJ
ejpam-5461	258	50	2(12).1.1	2(12).1.1	NUM
ejpam-5461	258	51	tsoi(cm̂	tsoi(cm̂	NUM
ejpam-5461	258	52	)	)	PUNCT
ejpam-5461	258	53	≤	≤	NUM
ejpam-5461	258	54	2	2	NUM
ejpam-5461	258	55	√	√	NUM
ejpam-5461	258	56	2m̂	2m̂	NUM
ejpam-5461	258	57	(	(	PUNCT
ejpam-5461	258	58	3.7	3.7	NUM
ejpam-5461	258	59	)	)	PUNCT
ejpam-5461	258	60	isoi(cm̂	isoi(cm̂	NOUN
ejpam-5461	258	61	)	)	PUNCT
ejpam-5461	258	62	=	=	PUNCT
ejpam-5461	258	63	∑	∑	PUNCT
ejpam-5461	258	64	α	α	X
ejpam-5461	258	65	,	,	PUNCT
ejpam-5461	258	66	β∈e(g	β∈e(g	PROPN
ejpam-5461	258	67	)	)	PUNCT
ejpam-5461	258	68	√	√	PROPN
ejpam-5461	259	1	(	(	PUNCT
ejpam-5461	259	2	ıϖ(α)ıdg(α))2	ıϖ(α)ıdg(α))2	X
ejpam-5461	259	3	+	+	CCONJ
ejpam-5461	259	4	(	(	PUNCT
ejpam-5461	259	5	ıϖ(β)ıdg(β))2	ıϖ(β)ıdg(β))2	PROPN
ejpam-5461	259	6	m.	m.	NOUN
ejpam-5461	259	7	alqahtani	alqahtani	PROPN
ejpam-5461	259	8	,	,	PUNCT
ejpam-5461	259	9	m.	m.	NOUN
ejpam-5461	259	10	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	259	11	,	,	PUNCT
ejpam-5461	259	12	m.	m.	NOUN
ejpam-5461	259	13	rajeshwari	rajeshwari	PROPN
ejpam-5461	259	14	/	/	SYM
ejpam-5461	259	15	eur	eur	PROPN
ejpam-5461	259	16	.	.	PUNCT
ejpam-5461	260	1	j.	j.	PROPN
ejpam-5461	260	2	pure	pure	PROPN
ejpam-5461	260	3	appl	appl	PROPN
ejpam-5461	260	4	.	.	PROPN
ejpam-5461	260	5	math	math	PROPN
ejpam-5461	260	6	,	,	PUNCT
ejpam-5461	260	7	17	17	NUM
ejpam-5461	260	8	(	(	PUNCT
ejpam-5461	260	9	4	4	NUM
ejpam-5461	260	10	)	)	PUNCT
ejpam-5461	260	11	(	(	PUNCT
ejpam-5461	260	12	2024	2024	NUM
ejpam-5461	260	13	)	)	PUNCT
ejpam-5461	260	14	,	,	PUNCT
ejpam-5461	260	15	2586	2586	NUM
ejpam-5461	260	16	-	-	SYM
ejpam-5461	260	17	2620	2620	NUM
ejpam-5461	260	18	2597	2597	NUM
ejpam-5461	260	19	=	=	PUNCT
ejpam-5461	260	20	∑	∑	PUNCT
ejpam-5461	260	21	βi	βi	X
ejpam-5461	260	22	,	,	PUNCT
ejpam-5461	260	23	βj∈e(g	βj∈e(g	NUM
ejpam-5461	260	24	)	)	PUNCT
ejpam-5461	260	25	√	√	NOUN
ejpam-5461	260	26	(	(	PUNCT
ejpam-5461	260	27	ıϖ(βi)(ıρ(ϱi	ıϖ(βi)(ıρ(ϱi	NOUN
ejpam-5461	260	28	)	)	PUNCT
ejpam-5461	260	29	+	+	CCONJ
ejpam-5461	260	30	ıρ(ϱi+1)))2	ıρ(ϱi+1)))2	NOUN
ejpam-5461	260	31	+	+	CCONJ
ejpam-5461	260	32	√	√	ADJ
ejpam-5461	260	33	(	(	PUNCT
ejpam-5461	260	34	ıϖ(βj)(ıρ(ϱj	ıϖ(βj)(ıρ(ϱj	NUM
ejpam-5461	260	35	)	)	PUNCT
ejpam-5461	261	1	+	+	CCONJ
ejpam-5461	261	2	ıρ(ϱj+1)))2	ıρ(ϱj+1)))2	NOUN
ejpam-5461	261	3	+	+	CCONJ
ejpam-5461	261	4	∑	∑	PROPN
ejpam-5461	261	5	βi	βi	X
ejpam-5461	261	6	,	,	PUNCT
ejpam-5461	261	7	βj∈e(g	βj∈e(g	NUM
ejpam-5461	261	8	)	)	PUNCT
ejpam-5461	261	9	√√√√(ıϖ(βi	√√√√(ıϖ(βi	NOUN
ejpam-5461	261	10	)	)	PUNCT
ejpam-5461	261	11	2(ıρ(ϱi	2(ıρ(ϱi	NUM
ejpam-5461	261	12	)	)	PUNCT
ejpam-5461	261	13	2	2	NUM
ejpam-5461	261	14	+	+	CCONJ
ejpam-5461	261	15	ıρ(ϱi+1	ıρ(ϱi+1	X
ejpam-5461	261	16	)	)	PUNCT
ejpam-5461	261	17	2	2	NUM
ejpam-5461	261	18	+	+	CCONJ
ejpam-5461	261	19	2ıρ(ϱi)ıρ(ϱi+1	2ıρ(ϱi)ıρ(ϱi+1	NUM
ejpam-5461	261	20	)	)	PUNCT
ejpam-5461	261	21	)	)	PUNCT
ejpam-5461	261	22	)	)	PUNCT
ejpam-5461	262	1	+	+	CCONJ
ejpam-5461	262	2	(	(	PUNCT
ejpam-5461	262	3	ıϖ(βj	ıϖ(βj	PROPN
ejpam-5461	262	4	)	)	PUNCT
ejpam-5461	262	5	2(ıρ(ϱj	2(ıρ(ϱj	NUM
ejpam-5461	262	6	)	)	PUNCT
ejpam-5461	262	7	2	2	NUM
ejpam-5461	262	8	+	+	CCONJ
ejpam-5461	262	9	ıρ(ϱj+1	ıρ(ϱj+1	NOUN
ejpam-5461	262	10	)	)	PUNCT
ejpam-5461	262	11	2	2	NUM
ejpam-5461	262	12	+	+	CCONJ
ejpam-5461	262	13	2ıρ(ϱj)ıρ(ϱj+1	2ıρ(ϱj)ıρ(ϱj+1	NUM
ejpam-5461	262	14	)	)	PUNCT
ejpam-5461	262	15	)	)	PUNCT
ejpam-5461	262	16	)	)	PUNCT
ejpam-5461	262	17	,	,	PUNCT
ejpam-5461	262	18	since	since	SCONJ
ejpam-5461	262	19	0	0	NUM
ejpam-5461	262	20	≤	≤	NOUN
ejpam-5461	262	21	ıϖ(β	ıϖ(β	NOUN
ejpam-5461	262	22	)	)	PUNCT
ejpam-5461	262	23	≤	≤	NUM
ejpam-5461	262	24	1	1	NUM
ejpam-5461	262	25	and	and	CCONJ
ejpam-5461	262	26	0	0	NUM
ejpam-5461	262	27	≤	≤	NOUN
ejpam-5461	262	28	ıρ(ϱ	ıρ(ϱ	X
ejpam-5461	262	29	)	)	PUNCT
ejpam-5461	262	30	≤	≤	NUM
ejpam-5461	262	31	1	1	NUM
ejpam-5461	262	32	.	.	PUNCT
ejpam-5461	262	33	therefore	therefore	ADV
ejpam-5461	262	34	,	,	PUNCT
ejpam-5461	262	35	isoi(cm̂	isoi(cm̂	NOUN
ejpam-5461	262	36	)	)	PUNCT
ejpam-5461	262	37	≤	≤	NOUN
ejpam-5461	262	38	n	n	CCONJ
ejpam-5461	262	39	√	√	ADV
ejpam-5461	262	40	12.12	12.12	NUM
ejpam-5461	262	41	+	+	CCONJ
ejpam-5461	262	42	12.12	12.12	NUM
ejpam-5461	262	43	+	+	CCONJ
ejpam-5461	262	44	2(12).1.1	2(12).1.1	NUM
ejpam-5461	262	45	+	+	NUM
ejpam-5461	262	46	12.12	12.12	NUM
ejpam-5461	262	47	+	+	NUM
ejpam-5461	262	48	12.12	12.12	NUM
ejpam-5461	262	49	+	+	CCONJ
ejpam-5461	262	50	2(12).1.1	2(12).1.1	NUM
ejpam-5461	262	51	isoi(cm̂	isoi(cm̂	NUM
ejpam-5461	262	52	)	)	PUNCT
ejpam-5461	262	53	≤	≤	NUM
ejpam-5461	262	54	2	2	NUM
ejpam-5461	262	55	√	√	NUM
ejpam-5461	262	56	2m̂.	2m̂.	NUM
ejpam-5461	262	57	(	(	PUNCT
ejpam-5461	262	58	3.8	3.8	NUM
ejpam-5461	262	59	)	)	PUNCT
ejpam-5461	262	60	fsoi(cm̂	fsoi(cm̂	NOUN
ejpam-5461	262	61	)	)	PUNCT
ejpam-5461	262	62	=	=	PUNCT
ejpam-5461	262	63	∑	∑	PUNCT
ejpam-5461	262	64	α	α	X
ejpam-5461	262	65	,	,	PUNCT
ejpam-5461	262	66	β∈e(g	β∈e(g	PROPN
ejpam-5461	262	67	)	)	PUNCT
ejpam-5461	262	68	√	√	PROPN
ejpam-5461	263	1	(	(	PUNCT
ejpam-5461	263	2	𭟋ϖ(α)𭟋dg(α))2	𭟋ϖ(α)𭟋dg(α))2	X
ejpam-5461	263	3	+	+	CCONJ
ejpam-5461	263	4	(	(	PUNCT
ejpam-5461	263	5	𭟋ϖ(β)𭟋dg(β))2	𭟋ϖ(β)𭟋dg(β))2	NOUN
ejpam-5461	263	6	=	=	PUNCT
ejpam-5461	263	7	∑	∑	PUNCT
ejpam-5461	263	8	βi	βi	X
ejpam-5461	263	9	,	,	PUNCT
ejpam-5461	263	10	βj∈e(g	βj∈e(g	NUM
ejpam-5461	263	11	)	)	PUNCT
ejpam-5461	263	12	√	√	PROPN
ejpam-5461	263	13	(	(	PUNCT
ejpam-5461	263	14	𭟋ϖ(βi)(𭟋ρ(ϱi	𭟋ϖ(βi)(𭟋ρ(ϱi	NOUN
ejpam-5461	263	15	)	)	PUNCT
ejpam-5461	263	16	+	+	NOUN
ejpam-5461	263	17	𭟋ρ(ϱi+1)))2	𭟋ρ(ϱi+1)))2	NOUN
ejpam-5461	263	18	+	+	CCONJ
ejpam-5461	263	19	√	√	ADJ
ejpam-5461	263	20	(	(	PUNCT
ejpam-5461	263	21	𭟋ϖ(βj)(𭟋ρ(ϱj	𭟋ϖ(βj)(𭟋ρ(ϱj	NOUN
ejpam-5461	263	22	)	)	PUNCT
ejpam-5461	263	23	+	+	NOUN
ejpam-5461	263	24	𭟋ρ(ϱj+1)))2	𭟋ρ(ϱj+1)))2	NOUN
ejpam-5461	263	25	+	+	CCONJ
ejpam-5461	263	26	∑	∑	PROPN
ejpam-5461	263	27	βi	βi	X
ejpam-5461	263	28	,	,	PUNCT
ejpam-5461	263	29	βj∈e(g	βj∈e(g	NUM
ejpam-5461	263	30	)	)	PUNCT
ejpam-5461	263	31	√√√√(𭟋ϖ(βi	√√√√(𭟋ϖ(βi	PROPN
ejpam-5461	263	32	)	)	PUNCT
ejpam-5461	263	33	2(𭟋ρ(ϱi	2(𭟋ρ(ϱi	NUM
ejpam-5461	263	34	)	)	PUNCT
ejpam-5461	263	35	2	2	NUM
ejpam-5461	264	1	+	+	NOUN
ejpam-5461	264	2	𭟋ρ(ϱi+1	𭟋ρ(ϱi+1	ADJ
ejpam-5461	264	3	)	)	PUNCT
ejpam-5461	264	4	2	2	NUM
ejpam-5461	264	5	+	+	SYM
ejpam-5461	264	6	2𭟋ρ(ϱi)𭟋ρ(ϱi+1	2𭟋ρ(ϱi)𭟋ρ(ϱi+1	NUM
ejpam-5461	264	7	)	)	PUNCT
ejpam-5461	264	8	)	)	PUNCT
ejpam-5461	264	9	)	)	PUNCT
ejpam-5461	265	1	+	+	CCONJ
ejpam-5461	265	2	(	(	PUNCT
ejpam-5461	265	3	𭟋ϖ(βj	𭟋ϖ(βj	PROPN
ejpam-5461	265	4	)	)	PUNCT
ejpam-5461	265	5	2(𭟋ρ(ϱj	2(𭟋ρ(ϱj	NUM
ejpam-5461	265	6	)	)	PUNCT
ejpam-5461	265	7	2	2	NUM
ejpam-5461	265	8	+	+	SYM
ejpam-5461	265	9	𭟋ρ(ϱj+1	𭟋ρ(ϱj+1	NOUN
ejpam-5461	265	10	)	)	PUNCT
ejpam-5461	265	11	2	2	NUM
ejpam-5461	265	12	+	+	CCONJ
ejpam-5461	265	13	2𭟋ρ(ϱj)𭟋ρ(ϱj+1	2𭟋ρ(ϱj)𭟋ρ(ϱj+1	NUM
ejpam-5461	265	14	)	)	PUNCT
ejpam-5461	265	15	)	)	PUNCT
ejpam-5461	265	16	)	)	PUNCT
ejpam-5461	265	17	,	,	PUNCT
ejpam-5461	265	18	since	since	SCONJ
ejpam-5461	265	19	,	,	PUNCT
ejpam-5461	265	20	0	0	NUM
ejpam-5461	265	21	≤	≤	NOUN
ejpam-5461	265	22	𭟋ϖ(β	𭟋ϖ(β	NOUN
ejpam-5461	265	23	)	)	PUNCT
ejpam-5461	265	24	≤	≤	NUM
ejpam-5461	265	25	1	1	NUM
ejpam-5461	265	26	and	and	CCONJ
ejpam-5461	265	27	0	0	NUM
ejpam-5461	265	28	≤	≤	NOUN
ejpam-5461	265	29	𭟋ρ(ϱ	𭟋ρ(ϱ	PUNCT
ejpam-5461	265	30	)	)	PUNCT
ejpam-5461	265	31	≤	≤	NUM
ejpam-5461	265	32	1	1	NUM
ejpam-5461	265	33	.	.	PUNCT
ejpam-5461	266	1	therefore	therefore	ADV
ejpam-5461	266	2	,	,	PUNCT
ejpam-5461	266	3	fsoi(cm̂	fsoi(cm̂	NOUN
ejpam-5461	266	4	)	)	PUNCT
ejpam-5461	266	5	≤	≤	NOUN
ejpam-5461	266	6	n	n	CCONJ
ejpam-5461	266	7	√	√	ADV
ejpam-5461	266	8	12.12	12.12	NUM
ejpam-5461	266	9	+	+	CCONJ
ejpam-5461	266	10	12.12	12.12	NUM
ejpam-5461	266	11	+	+	CCONJ
ejpam-5461	266	12	2(12).1.1	2(12).1.1	NUM
ejpam-5461	266	13	+	+	NUM
ejpam-5461	266	14	12.12	12.12	NUM
ejpam-5461	266	15	+	+	NUM
ejpam-5461	266	16	12.12	12.12	NUM
ejpam-5461	266	17	+	+	CCONJ
ejpam-5461	266	18	2(12).1.1	2(12).1.1	NUM
ejpam-5461	266	19	fsoi(cm̂	fsoi(cm̂	NOUN
ejpam-5461	266	20	)	)	PUNCT
ejpam-5461	266	21	≤	≤	NUM
ejpam-5461	266	22	2	2	NUM
ejpam-5461	266	23	√	√	NUM
ejpam-5461	266	24	2	2	NUM
ejpam-5461	266	25	m.	m.	NOUN
ejpam-5461	266	26	(	(	PUNCT
ejpam-5461	266	27	3.9	3.9	NUM
ejpam-5461	266	28	)	)	PUNCT
ejpam-5461	266	29	substitute	substitute	NOUN
ejpam-5461	266	30	(	(	PUNCT
ejpam-5461	266	31	3.7	3.7	NUM
ejpam-5461	266	32	)	)	PUNCT
ejpam-5461	266	33	,	,	PUNCT
ejpam-5461	266	34	(	(	PUNCT
ejpam-5461	266	35	3.8	3.8	NUM
ejpam-5461	266	36	)	)	PUNCT
ejpam-5461	266	37	and	and	CCONJ
ejpam-5461	266	38	(	(	PUNCT
ejpam-5461	266	39	3.9	3.9	NUM
ejpam-5461	266	40	)	)	PUNCT
ejpam-5461	266	41	in	in	ADP
ejpam-5461	266	42	(	(	PUNCT
ejpam-5461	266	43	3.6	3.6	NUM
ejpam-5461	266	44	)	)	PUNCT
ejpam-5461	266	45	.	.	PUNCT
ejpam-5461	267	1	nsoi(ρm̂	nsoi(ρm̂	NOUN
ejpam-5461	267	2	)	)	PUNCT
ejpam-5461	267	3	≤	≤	NUM
ejpam-5461	267	4	2	2	NUM
ejpam-5461	267	5	√	√	NUM
ejpam-5461	267	6	2m+	2m+	NUM
ejpam-5461	267	7	2	2	NUM
ejpam-5461	267	8	√	√	NUM
ejpam-5461	267	9	2m+	2m+	NUM
ejpam-5461	267	10	2	2	NUM
ejpam-5461	267	11	√	√	NUM
ejpam-5461	267	12	2	2	NUM
ejpam-5461	267	13	m	m	NOUN
ejpam-5461	267	14	nsoi(ρm̂	nsoi(ρm̂	NOUN
ejpam-5461	267	15	)	)	PUNCT
ejpam-5461	267	16	≤	≤	NOUN
ejpam-5461	267	17	6	6	NUM
ejpam-5461	267	18	√	√	NUM
ejpam-5461	267	19	2	2	NUM
ejpam-5461	267	20	m.	m.	NOUN
ejpam-5461	267	21	hance	hance	PROPN
ejpam-5461	267	22	proof	proof	NOUN
ejpam-5461	267	23	is	be	AUX
ejpam-5461	267	24	compete	compete	ADJ
ejpam-5461	267	25	.	.	PUNCT
ejpam-5461	268	1	theorem	theorem	NOUN
ejpam-5461	268	2	3	3	X
ejpam-5461	268	3	.	.	PUNCT
ejpam-5461	269	1	let	let	VERB
ejpam-5461	269	2	km̂	km̂	PROPN
ejpam-5461	269	3	denotes	denote	NOUN
ejpam-5461	269	4	neutrosophic	neutrosophic	ADJ
ejpam-5461	269	5	complete	complete	ADJ
ejpam-5461	269	6	graph	graph	NOUN
ejpam-5461	269	7	respectively	respectively	ADV
ejpam-5461	269	8	,	,	PUNCT
ejpam-5461	269	9	then	then	ADV
ejpam-5461	269	10	nsoi(km̂	nsoi(km̂	NUM
ejpam-5461	269	11	)	)	PUNCT
ejpam-5461	269	12	≤	≤	NOUN
ejpam-5461	269	13	3	3	NUM
ejpam-5461	269	14	(	(	PUNCT
ejpam-5461	269	15	m̂(m̂−1	m̂(m̂−1	PROPN
ejpam-5461	269	16	)	)	PUNCT
ejpam-5461	269	17	2	2	NUM
ejpam-5461	269	18	√	√	NUM
ejpam-5461	269	19	2m̂−	2m̂−	NUM
ejpam-5461	269	20	2	2	NUM
ejpam-5461	269	21	)	)	PUNCT
ejpam-5461	269	22	.	.	PUNCT
ejpam-5461	270	1	proof	proof	NOUN
ejpam-5461	270	2	.	.	PUNCT
ejpam-5461	271	1	let	let	VERB
ejpam-5461	271	2	g	g	PROPN
ejpam-5461	271	3	=	=	PUNCT
ejpam-5461	271	4	km̂	km̂	NOUN
ejpam-5461	271	5	be	be	AUX
ejpam-5461	271	6	a	a	DET
ejpam-5461	271	7	neutrosophic	neutrosophic	ADJ
ejpam-5461	271	8	complete	complete	ADJ
ejpam-5461	271	9	graph	graph	NOUN
ejpam-5461	271	10	with	with	ADP
ejpam-5461	271	11	v(km̂	v(km̂	NOUN
ejpam-5461	271	12	)	)	PUNCT
ejpam-5461	271	13	=	=	PRON
ejpam-5461	271	14	{	{	PUNCT
ejpam-5461	271	15	β1	β1	PROPN
ejpam-5461	271	16	,	,	PUNCT
ejpam-5461	271	17	β2	β2	NOUN
ejpam-5461	271	18	,	,	PUNCT
ejpam-5461	271	19	β3	β3	VERB
ejpam-5461	271	20	,	,	PUNCT
ejpam-5461	271	21	...	...	PUNCT
ejpam-5461	271	22	,	,	PUNCT
ejpam-5461	271	23	βm̂	βm̂	ADJ
ejpam-5461	271	24	}	}	PUNCT
ejpam-5461	271	25	and	and	CCONJ
ejpam-5461	271	26	e(km̂	e(km̂	NOUN
ejpam-5461	271	27	)	)	PUNCT
ejpam-5461	271	28	=	=	PRON
ejpam-5461	271	29	{	{	PUNCT
ejpam-5461	271	30	ϱ1	ϱ1	NOUN
ejpam-5461	271	31	,	,	PUNCT
ejpam-5461	271	32	ϱ2	ϱ2	NOUN
ejpam-5461	271	33	,	,	PUNCT
ejpam-5461	271	34	ϱ3	ϱ3	PROPN
ejpam-5461	271	35	,	,	PUNCT
ejpam-5461	271	36	..	..	PUNCT
ejpam-5461	271	37	,	,	PUNCT
ejpam-5461	271	38	ϱm̂−1	ϱm̂−1	ADP
ejpam-5461	271	39	}	}	PUNCT
ejpam-5461	271	40	.	.	PUNCT
ejpam-5461	272	1	let	let	VERB
ejpam-5461	272	2	ϖ1	ϖ1	VERB
ejpam-5461	272	3	,	,	PUNCT
ejpam-5461	272	4	ϖ2	ϖ2	NOUN
ejpam-5461	272	5	,	,	PUNCT
ejpam-5461	272	6	ϖ3	ϖ3	NOUN
ejpam-5461	272	7	,	,	PUNCT
ejpam-5461	272	8	...	...	PUNCT
ejpam-5461	272	9	,	,	PUNCT
ejpam-5461	272	10	ϖm̂	ϖm̂	NOUN
ejpam-5461	272	11	and	and	CCONJ
ejpam-5461	272	12	ρ1	ρ1	NOUN
ejpam-5461	272	13	,	,	PUNCT
ejpam-5461	272	14	ρ2	ρ2	NOUN
ejpam-5461	272	15	,	,	PUNCT
ejpam-5461	272	16	ρ3	ρ3	NOUN
ejpam-5461	272	17	,	,	PUNCT
ejpam-5461	272	18	...	...	PUNCT
ejpam-5461	272	19	,	,	PUNCT
ejpam-5461	272	20	ρm̂	ρm̂	NOUN
ejpam-5461	272	21	be	be	AUX
ejpam-5461	272	22	the	the	DET
ejpam-5461	272	23	there	there	NOUN
ejpam-5461	272	24	of	of	ADP
ejpam-5461	272	25	type	type	NOUN
ejpam-5461	272	26	of	of	ADP
ejpam-5461	272	27	mvs	mvs	NOUN
ejpam-5461	272	28	of	of	ADP
ejpam-5461	272	29	vertices	vertex	NOUN
ejpam-5461	272	30	and	and	CCONJ
ejpam-5461	272	31	edges	edge	NOUN
ejpam-5461	272	32	of	of	ADP
ejpam-5461	272	33	km̂	km̂	NOUN
ejpam-5461	272	34	respectively	respectively	ADV
ejpam-5461	272	35	.	.	PUNCT
ejpam-5461	273	1	then	then	ADV
ejpam-5461	273	2	clearly	clearly	ADV
ejpam-5461	273	3	,	,	PUNCT
ejpam-5461	273	4	dg(βi	dg(βi	PROPN
ejpam-5461	273	5	)	)	PUNCT
ejpam-5461	274	1	=	=	SYM
ejpam-5461	274	2	∑	∑	PROPN
ejpam-5461	274	3	βi∼ϱj	βi∼ϱj	PUNCT
ejpam-5461	274	4	ρ(ϱj	ρ(ϱj	ADP
ejpam-5461	274	5	)	)	PUNCT
ejpam-5461	274	6	.	.	PUNCT
ejpam-5461	275	1	therefore	therefore	ADV
ejpam-5461	275	2	,	,	PUNCT
ejpam-5461	275	3	nsoi(km̂	nsoi(km̂	ADV
ejpam-5461	275	4	)	)	PUNCT
ejpam-5461	275	5	=	=	PUNCT
ejpam-5461	275	6	tsoi(km̂	tsoi(km̂	NOUN
ejpam-5461	275	7	)	)	PUNCT
ejpam-5461	275	8	+	+	SYM
ejpam-5461	275	9	isoi(km̂	isoi(km̂	NOUN
ejpam-5461	275	10	)	)	PUNCT
ejpam-5461	275	11	+	+	CCONJ
ejpam-5461	275	12	fsoi(km̂	fsoi(km̂	NUM
ejpam-5461	275	13	)	)	PUNCT
ejpam-5461	275	14	(	(	PUNCT
ejpam-5461	275	15	3.10	3.10	NUM
ejpam-5461	275	16	)	)	PUNCT
ejpam-5461	275	17	m.	m.	NOUN
ejpam-5461	275	18	alqahtani	alqahtani	PROPN
ejpam-5461	275	19	,	,	PUNCT
ejpam-5461	275	20	m.	m.	NOUN
ejpam-5461	275	21	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	275	22	,	,	PUNCT
ejpam-5461	275	23	m.	m.	NOUN
ejpam-5461	275	24	rajeshwari	rajeshwari	PROPN
ejpam-5461	275	25	/	/	SYM
ejpam-5461	275	26	eur	eur	PROPN
ejpam-5461	275	27	.	.	PUNCT
ejpam-5461	276	1	j.	j.	PROPN
ejpam-5461	276	2	pure	pure	PROPN
ejpam-5461	276	3	appl	appl	PROPN
ejpam-5461	276	4	.	.	PROPN
ejpam-5461	276	5	math	math	PROPN
ejpam-5461	276	6	,	,	PUNCT
ejpam-5461	276	7	17	17	NUM
ejpam-5461	276	8	(	(	PUNCT
ejpam-5461	276	9	4	4	NUM
ejpam-5461	276	10	)	)	PUNCT
ejpam-5461	276	11	(	(	PUNCT
ejpam-5461	276	12	2024	2024	NUM
ejpam-5461	276	13	)	)	PUNCT
ejpam-5461	276	14	,	,	PUNCT
ejpam-5461	276	15	2586	2586	NUM
ejpam-5461	276	16	-	-	SYM
ejpam-5461	276	17	2620	2620	NUM
ejpam-5461	276	18	2598	2598	NUM
ejpam-5461	276	19	tsoi(km̂	tsoi(km̂	NOUN
ejpam-5461	276	20	)	)	PUNCT
ejpam-5461	276	21	=	=	PUNCT
ejpam-5461	276	22	∑	∑	PUNCT
ejpam-5461	276	23	α	α	X
ejpam-5461	276	24	,	,	PUNCT
ejpam-5461	276	25	β∈e(g	β∈e(g	PROPN
ejpam-5461	276	26	)	)	PUNCT
ejpam-5461	276	27	√	√	PROPN
ejpam-5461	277	1	(	(	PUNCT
ejpam-5461	277	2	τϖ(α)τdg(α))2	τϖ(α)τdg(α))2	X
ejpam-5461	277	3	+	+	CCONJ
ejpam-5461	277	4	(	(	PUNCT
ejpam-5461	277	5	τϖ(β)τdg(β))2	τϖ(β)τdg(β))2	X
ejpam-5461	277	6	=	=	SYM
ejpam-5461	277	7	∑	∑	PUNCT
ejpam-5461	277	8	βi	βi	X
ejpam-5461	277	9	,	,	PUNCT
ejpam-5461	277	10	βj∈e(g	βj∈e(g	NUM
ejpam-5461	277	11	)	)	PUNCT
ejpam-5461	277	12	√	√	PROPN
ejpam-5461	277	13	(	(	PUNCT
ejpam-5461	277	14	τϖ(βi)2	τϖ(βi)2	PROPN
ejpam-5461	277	15	(	(	PUNCT
ejpam-5461	277	16	∑	∑	ADV
ejpam-5461	277	17	βi∼ϱj	βi∼ϱj	PUNCT
ejpam-5461	277	18	τρ(ϱj)2	τρ(ϱj)2	PROPN
ejpam-5461	277	19	)	)	PUNCT
ejpam-5461	277	20	)	)	PUNCT
ejpam-5461	278	1	+	+	CCONJ
ejpam-5461	278	2	(	(	PUNCT
ejpam-5461	278	3	τϖ(βj)2	τϖ(βj)2	VERB
ejpam-5461	278	4	(	(	PUNCT
ejpam-5461	278	5	∑	∑	ADV
ejpam-5461	278	6	βj∼ϱi	βj∼ϱi	SYM
ejpam-5461	278	7	τρ(ϱi)2	τρ(ϱi)2	ADJ
ejpam-5461	278	8	)	)	PUNCT
ejpam-5461	278	9	)	)	PUNCT
ejpam-5461	278	10	≤	≤	ADV
ejpam-5461	278	11	∑	∑	PUNCT
ejpam-5461	278	12	βi	βi	X
ejpam-5461	278	13	,	,	PUNCT
ejpam-5461	278	14	βj∈e(g	βj∈e(g	NUM
ejpam-5461	278	15	)	)	PUNCT
ejpam-5461	278	16	√	√	PUNCT
ejpam-5461	279	1	τϖ(βi)2(m̂−	τϖ(βi)2(m̂−	NOUN
ejpam-5461	279	2	1)τρ(ϱj)2	1)τρ(ϱj)2	NUM
ejpam-5461	280	1	+	+	CCONJ
ejpam-5461	280	2	τϖ(βj)2(m̂−	τϖ(βj)2(m̂−	PROPN
ejpam-5461	280	3	1)τρ(ϱi)2	1)τρ(ϱi)2	NUM
ejpam-5461	280	4	,	,	PUNCT
ejpam-5461	280	5	since	since	SCONJ
ejpam-5461	280	6	,	,	PUNCT
ejpam-5461	280	7	0	0	NUM
ejpam-5461	280	8	≤	≤	NUM
ejpam-5461	280	9	τϖ(β	τϖ(β	NOUN
ejpam-5461	280	10	)	)	PUNCT
ejpam-5461	280	11	≤	≤	NUM
ejpam-5461	280	12	1	1	NUM
ejpam-5461	280	13	and	and	CCONJ
ejpam-5461	280	14	0	0	NUM
ejpam-5461	280	15	≤	≤	NUM
ejpam-5461	280	16	τρ(ϱ	τρ(ϱ	NOUN
ejpam-5461	280	17	)	)	PUNCT
ejpam-5461	280	18	≤	≤	NUM
ejpam-5461	280	19	1	1	NUM
ejpam-5461	280	20	.	.	PUNCT
ejpam-5461	281	1	therefore	therefore	ADV
ejpam-5461	281	2	,	,	PUNCT
ejpam-5461	281	3	tsoi(km̂	tsoi(km̂	NOUN
ejpam-5461	281	4	)	)	PUNCT
ejpam-5461	281	5	≤	≤	NOUN
ejpam-5461	281	6	∑	∑	PUNCT
ejpam-5461	281	7	βi	βi	X
ejpam-5461	281	8	,	,	PUNCT
ejpam-5461	281	9	βj∈e(g	βj∈e(g	NUM
ejpam-5461	281	10	)	)	PUNCT
ejpam-5461	281	11	√	√	NOUN
ejpam-5461	281	12	(	(	PUNCT
ejpam-5461	281	13	m̂−	m̂−	NOUN
ejpam-5461	281	14	1	1	NUM
ejpam-5461	281	15	)	)	PUNCT
ejpam-5461	281	16	+	+	CCONJ
ejpam-5461	281	17	(	(	PUNCT
ejpam-5461	281	18	m̂−	m̂−	NOUN
ejpam-5461	281	19	1	1	NUM
ejpam-5461	281	20	)	)	PUNCT
ejpam-5461	281	21	tsoi(km̂	tsoi(km̂	NOUN
ejpam-5461	281	22	)	)	PUNCT
ejpam-5461	282	1	=	=	NOUN
ejpam-5461	282	2	m̂(m̂−	m̂(m̂−	NOUN
ejpam-5461	282	3	1	1	NUM
ejpam-5461	282	4	)	)	PUNCT
ejpam-5461	282	5	2	2	NUM
ejpam-5461	282	6	√	√	NUM
ejpam-5461	282	7	2m̂−	2m̂−	NUM
ejpam-5461	282	8	2	2	NUM
ejpam-5461	282	9	.	.	PUNCT
ejpam-5461	282	10	(	(	PUNCT
ejpam-5461	282	11	3.11	3.11	NUM
ejpam-5461	282	12	)	)	PUNCT
ejpam-5461	282	13	isoi(km̂	isoi(km̂	PROPN
ejpam-5461	282	14	)	)	PUNCT
ejpam-5461	282	15	=	=	SYM
ejpam-5461	282	16	∑	∑	PUNCT
ejpam-5461	282	17	α	α	X
ejpam-5461	282	18	,	,	PUNCT
ejpam-5461	282	19	β∈e(g	β∈e(g	PROPN
ejpam-5461	282	20	)	)	PUNCT
ejpam-5461	282	21	√	√	PROPN
ejpam-5461	282	22	(	(	PUNCT
ejpam-5461	282	23	ıϖ(α)ıdg(α))2	ıϖ(α)ıdg(α))2	X
ejpam-5461	282	24	+	+	CCONJ
ejpam-5461	282	25	(	(	PUNCT
ejpam-5461	282	26	ıϖ(β)ıdg(β))2	ıϖ(β)ıdg(β))2	NOUN
ejpam-5461	282	27	=	=	SYM
ejpam-5461	282	28	∑	∑	NOUN
ejpam-5461	282	29	βi	βi	X
ejpam-5461	282	30	,	,	PUNCT
ejpam-5461	282	31	βj∈e(g	βj∈e(g	NUM
ejpam-5461	282	32	)	)	PUNCT
ejpam-5461	282	33	√	√	PROPN
ejpam-5461	282	34	(	(	PUNCT
ejpam-5461	282	35	ıϖ(βi)2	ıϖ(βi)2	PROPN
ejpam-5461	282	36	(	(	PUNCT
ejpam-5461	282	37	∑	∑	ADV
ejpam-5461	282	38	βi∼ϱj	βi∼ϱj	PUNCT
ejpam-5461	282	39	ıρ(ϱj)2	ıρ(ϱj)2	VERB
ejpam-5461	282	40	)	)	PUNCT
ejpam-5461	282	41	)	)	PUNCT
ejpam-5461	283	1	+	+	CCONJ
ejpam-5461	283	2	(	(	PUNCT
ejpam-5461	283	3	ıϖ(βj)2	ıϖ(βj)2	X
ejpam-5461	283	4	(	(	PUNCT
ejpam-5461	283	5	∑	∑	PUNCT
ejpam-5461	283	6	βj∼ϱi	βj∼ϱi	SYM
ejpam-5461	283	7	ıρ(ϱi)2	ıρ(ϱi)2	NOUN
ejpam-5461	283	8	)	)	PUNCT
ejpam-5461	283	9	)	)	PUNCT
ejpam-5461	283	10	≤	≤	ADV
ejpam-5461	283	11	∑	∑	PUNCT
ejpam-5461	283	12	βi	βi	X
ejpam-5461	283	13	,	,	PUNCT
ejpam-5461	283	14	βj∈e(g	βj∈e(g	NUM
ejpam-5461	283	15	)	)	PUNCT
ejpam-5461	283	16	√	√	NUM
ejpam-5461	284	1	ıϖ(βi)2(m̂−	ıϖ(βi)2(m̂−	VERB
ejpam-5461	284	2	1)ıρ(ϱj)2	1)ıρ(ϱj)2	NUM
ejpam-5461	285	1	+	+	CCONJ
ejpam-5461	285	2	ıϖ(βj)2(m̂−	ıϖ(βj)2(m̂−	PROPN
ejpam-5461	285	3	1)ıρ(ϱi)2	1)ıρ(ϱi)2	NUM
ejpam-5461	285	4	,	,	PUNCT
ejpam-5461	285	5	since	since	SCONJ
ejpam-5461	285	6	,	,	PUNCT
ejpam-5461	285	7	0	0	NUM
ejpam-5461	285	8	≤	≤	NOUN
ejpam-5461	285	9	ıϖ(β	ıϖ(β	NOUN
ejpam-5461	285	10	)	)	PUNCT
ejpam-5461	285	11	≤	≤	NUM
ejpam-5461	285	12	1	1	NUM
ejpam-5461	285	13	and	and	CCONJ
ejpam-5461	285	14	0	0	NUM
ejpam-5461	285	15	≤	≤	NOUN
ejpam-5461	285	16	ıρ(ϱ	ıρ(ϱ	X
ejpam-5461	285	17	)	)	PUNCT
ejpam-5461	285	18	≤	≤	NUM
ejpam-5461	285	19	1	1	NUM
ejpam-5461	285	20	.	.	PUNCT
ejpam-5461	286	1	therefore	therefore	ADV
ejpam-5461	286	2	,	,	PUNCT
ejpam-5461	286	3	isoi(km̂	isoi(km̂	PROPN
ejpam-5461	286	4	)	)	PUNCT
ejpam-5461	286	5	≤	≤	NOUN
ejpam-5461	286	6	∑	∑	PUNCT
ejpam-5461	286	7	βi	βi	X
ejpam-5461	286	8	,	,	PUNCT
ejpam-5461	286	9	βj∈e(g	βj∈e(g	NUM
ejpam-5461	286	10	)	)	PUNCT
ejpam-5461	287	1	√	√	NOUN
ejpam-5461	287	2	(	(	PUNCT
ejpam-5461	287	3	m̂−	m̂−	NOUN
ejpam-5461	287	4	1	1	NUM
ejpam-5461	287	5	)	)	PUNCT
ejpam-5461	287	6	+	+	CCONJ
ejpam-5461	287	7	(	(	PUNCT
ejpam-5461	287	8	m̂−	m̂−	NOUN
ejpam-5461	287	9	1	1	NUM
ejpam-5461	287	10	)	)	PUNCT
ejpam-5461	287	11	isoi(km̂	isoi(km̂	PROPN
ejpam-5461	287	12	)	)	PUNCT
ejpam-5461	287	13	=	=	SYM
ejpam-5461	287	14	m̂(m̂−	m̂(m̂−	NOUN
ejpam-5461	287	15	1	1	NUM
ejpam-5461	287	16	)	)	PUNCT
ejpam-5461	287	17	2	2	NUM
ejpam-5461	287	18	√	√	NUM
ejpam-5461	287	19	2m̂−	2m̂−	NUM
ejpam-5461	287	20	2	2	NUM
ejpam-5461	287	21	(	(	PUNCT
ejpam-5461	287	22	3.12	3.12	NUM
ejpam-5461	287	23	)	)	PUNCT
ejpam-5461	287	24	and	and	CCONJ
ejpam-5461	287	25	fsoi(km̂	fsoi(km̂	NUM
ejpam-5461	287	26	)	)	PUNCT
ejpam-5461	287	27	=	=	PUNCT
ejpam-5461	287	28	∑	∑	PUNCT
ejpam-5461	287	29	α	α	X
ejpam-5461	287	30	,	,	PUNCT
ejpam-5461	287	31	β∈e(g	β∈e(g	PROPN
ejpam-5461	287	32	)	)	PUNCT
ejpam-5461	287	33	√	√	PROPN
ejpam-5461	288	1	(	(	PUNCT
ejpam-5461	288	2	𭟋ϖ(α)𭟋dg(α))2	𭟋ϖ(α)𭟋dg(α))2	X
ejpam-5461	288	3	+	+	CCONJ
ejpam-5461	288	4	(	(	PUNCT
ejpam-5461	288	5	𭟋ϖ(β)𭟋dg(β))2	𭟋ϖ(β)𭟋dg(β))2	NOUN
ejpam-5461	288	6	=	=	PUNCT
ejpam-5461	288	7	∑	∑	PUNCT
ejpam-5461	288	8	βi	βi	X
ejpam-5461	288	9	,	,	PUNCT
ejpam-5461	288	10	βj∈e(g	βj∈e(g	NUM
ejpam-5461	288	11	)	)	PUNCT
ejpam-5461	288	12	√	√	PROPN
ejpam-5461	288	13	(	(	PUNCT
ejpam-5461	288	14	𭟋ϖ(βi)2	𭟋ϖ(βi)2	PROPN
ejpam-5461	288	15	(	(	PUNCT
ejpam-5461	288	16	∑	∑	ADV
ejpam-5461	288	17	βi∼ϱj	βi∼ϱj	PUNCT
ejpam-5461	288	18	𭟋ρ(ϱj)2	𭟋ρ(ϱj)2	PROPN
ejpam-5461	288	19	)	)	PUNCT
ejpam-5461	288	20	)	)	PUNCT
ejpam-5461	289	1	+	+	CCONJ
ejpam-5461	289	2	(	(	PUNCT
ejpam-5461	289	3	𭟋ϖ(βj)2	𭟋ϖ(βj)2	PROPN
ejpam-5461	289	4	(	(	PUNCT
ejpam-5461	289	5	∑	∑	PUNCT
ejpam-5461	289	6	βj∼ϱi	βj∼ϱi	SYM
ejpam-5461	289	7	𭟋ρ(ϱi)2	𭟋ρ(ϱi)2	NOUN
ejpam-5461	289	8	)	)	PUNCT
ejpam-5461	289	9	)	)	PUNCT
ejpam-5461	290	1	≤	≤	ADV
ejpam-5461	290	2	∑	∑	PUNCT
ejpam-5461	290	3	βi	βi	X
ejpam-5461	290	4	,	,	PUNCT
ejpam-5461	290	5	βj∈e(g	βj∈e(g	NUM
ejpam-5461	290	6	)	)	PUNCT
ejpam-5461	290	7	√	√	PROPN
ejpam-5461	290	8	𭟋ϖ(βi)2(m̂−	𭟋ϖ(βi)2(m̂−	VERB
ejpam-5461	290	9	1)𭟋ρ(ϱj)2	1)𭟋ρ(ϱj)2	NUM
ejpam-5461	291	1	+	+	NOUN
ejpam-5461	291	2	𭟋ϖ(βj)2(m̂−	𭟋ϖ(βj)2(m̂−	NOUN
ejpam-5461	291	3	1)𭟋ρ(ϱi)2	1)𭟋ρ(ϱi)2	NUM
ejpam-5461	291	4	,	,	PUNCT
ejpam-5461	291	5	m.	m.	NOUN
ejpam-5461	291	6	alqahtani	alqahtani	PROPN
ejpam-5461	291	7	,	,	PUNCT
ejpam-5461	291	8	m.	m.	NOUN
ejpam-5461	291	9	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	291	10	,	,	PUNCT
ejpam-5461	291	11	m.	m.	NOUN
ejpam-5461	291	12	rajeshwari	rajeshwari	PROPN
ejpam-5461	291	13	/	/	SYM
ejpam-5461	291	14	eur	eur	PROPN
ejpam-5461	291	15	.	.	PUNCT
ejpam-5461	292	1	j.	j.	PROPN
ejpam-5461	292	2	pure	pure	PROPN
ejpam-5461	292	3	appl	appl	PROPN
ejpam-5461	292	4	.	.	PROPN
ejpam-5461	292	5	math	math	PROPN
ejpam-5461	292	6	,	,	PUNCT
ejpam-5461	292	7	17	17	NUM
ejpam-5461	292	8	(	(	PUNCT
ejpam-5461	292	9	4	4	NUM
ejpam-5461	292	10	)	)	PUNCT
ejpam-5461	292	11	(	(	PUNCT
ejpam-5461	292	12	2024	2024	NUM
ejpam-5461	292	13	)	)	PUNCT
ejpam-5461	292	14	,	,	PUNCT
ejpam-5461	292	15	2586	2586	NUM
ejpam-5461	292	16	-	-	SYM
ejpam-5461	292	17	2620	2620	NUM
ejpam-5461	292	18	2599	2599	NUM
ejpam-5461	292	19	since	since	SCONJ
ejpam-5461	292	20	,	,	PUNCT
ejpam-5461	292	21	0	0	NUM
ejpam-5461	292	22	≤	≤	NOUN
ejpam-5461	292	23	𭟋ϖ(β	𭟋ϖ(β	NOUN
ejpam-5461	292	24	)	)	PUNCT
ejpam-5461	292	25	≤	≤	NUM
ejpam-5461	292	26	1	1	NUM
ejpam-5461	292	27	and	and	CCONJ
ejpam-5461	292	28	0	0	NUM
ejpam-5461	292	29	≤	≤	NOUN
ejpam-5461	292	30	𭟋ρ(ϱ	𭟋ρ(ϱ	PUNCT
ejpam-5461	292	31	)	)	PUNCT
ejpam-5461	292	32	≤	≤	NUM
ejpam-5461	292	33	1	1	NUM
ejpam-5461	292	34	.	.	PUNCT
ejpam-5461	293	1	therefore	therefore	ADV
ejpam-5461	293	2	,	,	PUNCT
ejpam-5461	293	3	fsoi(km̂	fsoi(km̂	NUM
ejpam-5461	293	4	)	)	PUNCT
ejpam-5461	293	5	≤	≤	NOUN
ejpam-5461	293	6	∑	∑	PUNCT
ejpam-5461	293	7	βi	βi	X
ejpam-5461	293	8	,	,	PUNCT
ejpam-5461	293	9	βj∈e(g	βj∈e(g	NUM
ejpam-5461	293	10	)	)	PUNCT
ejpam-5461	293	11	√	√	NOUN
ejpam-5461	293	12	(	(	PUNCT
ejpam-5461	293	13	m̂−	m̂−	NOUN
ejpam-5461	293	14	1	1	NUM
ejpam-5461	293	15	)	)	PUNCT
ejpam-5461	293	16	+	+	CCONJ
ejpam-5461	293	17	(	(	PUNCT
ejpam-5461	293	18	m̂−	m̂−	NOUN
ejpam-5461	293	19	1	1	NUM
ejpam-5461	293	20	)	)	PUNCT
ejpam-5461	293	21	fsoi(km̂	fsoi(km̂	NUM
ejpam-5461	293	22	)	)	PUNCT
ejpam-5461	293	23	=	=	PRON
ejpam-5461	293	24	m̂(m̂−	m̂(m̂−	NOUN
ejpam-5461	293	25	1	1	NUM
ejpam-5461	293	26	)	)	PUNCT
ejpam-5461	293	27	2	2	NUM
ejpam-5461	293	28	√	√	NUM
ejpam-5461	293	29	2m̂−	2m̂−	NUM
ejpam-5461	293	30	2	2	NUM
ejpam-5461	293	31	.	.	PUNCT
ejpam-5461	293	32	(	(	PUNCT
ejpam-5461	293	33	3.13	3.13	NUM
ejpam-5461	293	34	)	)	PUNCT
ejpam-5461	293	35	substitute	substitute	NOUN
ejpam-5461	293	36	(	(	PUNCT
ejpam-5461	293	37	3.11	3.11	NUM
ejpam-5461	293	38	)	)	PUNCT
ejpam-5461	293	39	,	,	PUNCT
ejpam-5461	293	40	(	(	PUNCT
ejpam-5461	293	41	3.12	3.12	NUM
ejpam-5461	293	42	)	)	PUNCT
ejpam-5461	293	43	and	and	CCONJ
ejpam-5461	293	44	(	(	PUNCT
ejpam-5461	293	45	3.13	3.13	NUM
ejpam-5461	293	46	)	)	PUNCT
ejpam-5461	293	47	in	in	ADP
ejpam-5461	293	48	(	(	PUNCT
ejpam-5461	293	49	3.10	3.10	NUM
ejpam-5461	293	50	)	)	PUNCT
ejpam-5461	293	51	,	,	PUNCT
ejpam-5461	293	52	we	we	PRON
ejpam-5461	293	53	get	get	VERB
ejpam-5461	293	54	nsoi(km̂	nsoi(km̂	ADV
ejpam-5461	293	55	)	)	PUNCT
ejpam-5461	293	56	≤	≤	NUM
ejpam-5461	293	57	m̂(m̂−	m̂(m̂−	NOUN
ejpam-5461	293	58	1	1	NUM
ejpam-5461	293	59	)	)	PUNCT
ejpam-5461	293	60	2	2	NUM
ejpam-5461	293	61	√	√	NUM
ejpam-5461	293	62	2m̂−	2m̂−	NUM
ejpam-5461	293	63	2	2	NUM
ejpam-5461	293	64	+	+	NUM
ejpam-5461	293	65	m̂(m̂−	m̂(m̂−	NOUN
ejpam-5461	293	66	1	1	NUM
ejpam-5461	293	67	)	)	PUNCT
ejpam-5461	293	68	2	2	NUM
ejpam-5461	293	69	√	√	NUM
ejpam-5461	293	70	2m̂−	2m̂−	NUM
ejpam-5461	293	71	2	2	NUM
ejpam-5461	293	72	+	+	NUM
ejpam-5461	293	73	m̂(m̂−	m̂(m̂−	NOUN
ejpam-5461	293	74	1	1	NUM
ejpam-5461	293	75	)	)	PUNCT
ejpam-5461	293	76	2	2	NUM
ejpam-5461	293	77	√	√	NUM
ejpam-5461	293	78	2m̂−	2m̂−	NUM
ejpam-5461	293	79	2	2	NUM
ejpam-5461	293	80	nsoi(km̂	nsoi(km̂	NUM
ejpam-5461	293	81	)	)	PUNCT
ejpam-5461	293	82	≤	≤	NOUN
ejpam-5461	294	1	3	3	NUM
ejpam-5461	294	2	(	(	PUNCT
ejpam-5461	294	3	m̂(m̂−	m̂(m̂−	NOUN
ejpam-5461	294	4	1	1	NUM
ejpam-5461	294	5	)	)	PUNCT
ejpam-5461	294	6	2	2	NUM
ejpam-5461	294	7	)	)	PUNCT
ejpam-5461	294	8	√	√	ADP
ejpam-5461	294	9	2m̂−	2m̂−	NUM
ejpam-5461	294	10	2	2	NUM
ejpam-5461	294	11	.	.	PUNCT
ejpam-5461	294	12	lemma	lemma	PROPN
ejpam-5461	294	13	1	1	X
ejpam-5461	294	14	.	.	PUNCT
ejpam-5461	295	1	let	let	VERB
ejpam-5461	295	2	g	g	PROPN
ejpam-5461	295	3	=	=	PUNCT
ejpam-5461	295	4	k1,m̂−1	k1,m̂−1	NOUN
ejpam-5461	295	5	be	be	AUX
ejpam-5461	295	6	a	a	DET
ejpam-5461	295	7	neutrosophic	neutrosophic	ADJ
ejpam-5461	295	8	star	star	NOUN
ejpam-5461	295	9	and	and	CCONJ
ejpam-5461	295	10	statisties	statistie	VERB
ejpam-5461	295	11	the	the	DET
ejpam-5461	295	12	condition	condition	NOUN
ejpam-5461	295	13	τϖ(0	τϖ(0	NOUN
ejpam-5461	295	14	)	)	PUNCT
ejpam-5461	295	15	≤	≤	NOUN
ejpam-5461	295	16	τϖ(β	τϖ(β	PUNCT
ejpam-5461	295	17	)	)	PUNCT
ejpam-5461	295	18	,	,	PUNCT
ejpam-5461	295	19	ıϖ(0	ıϖ(0	NOUN
ejpam-5461	295	20	)	)	PUNCT
ejpam-5461	295	21	≤	≤	NOUN
ejpam-5461	295	22	ıϖ(β	ıϖ(β	NUM
ejpam-5461	295	23	)	)	PUNCT
ejpam-5461	295	24	and	and	CCONJ
ejpam-5461	295	25	𭟋ϖ(0	𭟋ϖ(0	NOUN
ejpam-5461	295	26	)	)	PUNCT
ejpam-5461	295	27	≤	≤	NOUN
ejpam-5461	295	28	𭟋ϖ(β	𭟋ϖ(β	NOUN
ejpam-5461	295	29	)	)	PUNCT
ejpam-5461	295	30	where	where	SCONJ
ejpam-5461	295	31	0	0	NUM
ejpam-5461	295	32	is	be	AUX
ejpam-5461	295	33	the	the	DET
ejpam-5461	295	34	center	center	NOUN
ejpam-5461	295	35	of	of	ADP
ejpam-5461	295	36	the	the	DET
ejpam-5461	295	37	neurotrophic	neurotrophic	PROPN
ejpam-5461	295	38	star	star	PROPN
ejpam-5461	295	39	,	,	PUNCT
ejpam-5461	295	40	then	then	ADV
ejpam-5461	295	41	,	,	PUNCT
ejpam-5461	295	42	nsoi(k1	nsoi(k1	NOUN
ejpam-5461	295	43	,	,	PUNCT
ejpam-5461	295	44	m̂−	m̂−	PROPN
ejpam-5461	295	45	1	1	NUM
ejpam-5461	295	46	)	)	PUNCT
ejpam-5461	295	47	≤	≤	NUM
ejpam-5461	295	48	3(m̂−	3(m̂−	NUM
ejpam-5461	295	49	1	1	NUM
ejpam-5461	295	50	)	)	PUNCT
ejpam-5461	296	1	√	√	PROPN
ejpam-5461	297	1	m̂2	m̂2	PROPN
ejpam-5461	298	1	−	−	NUM
ejpam-5461	298	2	2m̂+	2m̂+	NOUN
ejpam-5461	298	3	2	2	NUM
ejpam-5461	298	4	.	.	PUNCT
ejpam-5461	299	1	proof	proof	NOUN
ejpam-5461	299	2	.	.	PUNCT
ejpam-5461	300	1	let	let	VERB
ejpam-5461	300	2	g	g	PROPN
ejpam-5461	300	3	=	=	PUNCT
ejpam-5461	300	4	k1,m̂−1	k1,m̂−1	NOUN
ejpam-5461	300	5	be	be	AUX
ejpam-5461	300	6	a	a	DET
ejpam-5461	300	7	neutrosophic	neutrosophic	ADJ
ejpam-5461	300	8	star	star	NOUN
ejpam-5461	300	9	graph	graph	NOUN
ejpam-5461	300	10	with	with	ADP
ejpam-5461	300	11	v(k1,m̂−1	v(k1,m̂−1	NOUN
ejpam-5461	300	12	)	)	PUNCT
ejpam-5461	301	1	=	=	PRON
ejpam-5461	301	2	{	{	PUNCT
ejpam-5461	301	3	β1	β1	PROPN
ejpam-5461	301	4	,	,	PUNCT
ejpam-5461	301	5	β2	β2	NOUN
ejpam-5461	301	6	,	,	PUNCT
ejpam-5461	301	7	β3	β3	PROPN
ejpam-5461	301	8	,	,	PUNCT
ejpam-5461	301	9	.....	.....	PUNCT
ejpam-5461	301	10	βm̂	βm̂	ADJ
ejpam-5461	301	11	}	}	PUNCT
ejpam-5461	301	12	and	and	CCONJ
ejpam-5461	301	13	e(k1,m̂−1	e(k1,m̂−1	NUM
ejpam-5461	301	14	)	)	PUNCT
ejpam-5461	301	15	=	=	PRON
ejpam-5461	301	16	{	{	PUNCT
ejpam-5461	301	17	ϱ1	ϱ1	NOUN
ejpam-5461	301	18	,	,	PUNCT
ejpam-5461	301	19	ϱ2	ϱ2	NOUN
ejpam-5461	301	20	,	,	PUNCT
ejpam-5461	301	21	ϱ3	ϱ3	NOUN
ejpam-5461	301	22	,	,	PUNCT
ejpam-5461	301	23	.....	.....	PUNCT
ejpam-5461	302	1	ϱm̂−1	ϱm̂−1	ADP
ejpam-5461	302	2	}	}	PUNCT
ejpam-5461	302	3	.	.	PUNCT
ejpam-5461	303	1	let	let	VERB
ejpam-5461	303	2	ϖ1	ϖ1	VERB
ejpam-5461	303	3	,	,	PUNCT
ejpam-5461	303	4	ϖ2	ϖ2	NOUN
ejpam-5461	303	5	,	,	PUNCT
ejpam-5461	303	6	ϖ3	ϖ3	NOUN
ejpam-5461	303	7	,	,	PUNCT
ejpam-5461	303	8	.....	.....	PUNCT
ejpam-5461	303	9	ϖm̂	ϖm̂	NOUN
ejpam-5461	303	10	and	and	CCONJ
ejpam-5461	303	11	ρ1	ρ1	NOUN
ejpam-5461	303	12	,	,	PUNCT
ejpam-5461	303	13	ρ2	ρ2	NOUN
ejpam-5461	303	14	,	,	PUNCT
ejpam-5461	303	15	ρ3	ρ3	NOUN
ejpam-5461	303	16	,	,	PUNCT
ejpam-5461	303	17	.....	.....	PUNCT
ejpam-5461	303	18	ρm̂	ρm̂	NOUN
ejpam-5461	303	19	be	be	AUX
ejpam-5461	303	20	the	the	DET
ejpam-5461	303	21	mvs	mvs	NOUN
ejpam-5461	303	22	of	of	ADP
ejpam-5461	303	23	vertices	vertex	NOUN
ejpam-5461	303	24	and	and	CCONJ
ejpam-5461	303	25	edges	edge	NOUN
ejpam-5461	303	26	of	of	ADP
ejpam-5461	303	27	km̂.	km̂.	NOUN
ejpam-5461	303	28	let	let	VERB
ejpam-5461	303	29	β1	β1	PROPN
ejpam-5461	303	30	=	=	SYM
ejpam-5461	303	31	0	0	NUM
ejpam-5461	303	32	be	be	AUX
ejpam-5461	303	33	the	the	DET
ejpam-5461	303	34	center	center	NOUN
ejpam-5461	303	35	of	of	ADP
ejpam-5461	303	36	the	the	DET
ejpam-5461	303	37	star	star	NOUN
ejpam-5461	303	38	.	.	PUNCT
ejpam-5461	304	1	it	it	PRON
ejpam-5461	304	2	is	be	AUX
ejpam-5461	304	3	given	give	VERB
ejpam-5461	304	4	that	that	SCONJ
ejpam-5461	304	5	ϖ(0	ϖ(0	NOUN
ejpam-5461	304	6	)	)	PUNCT
ejpam-5461	304	7	≤	≤	NOUN
ejpam-5461	304	8	ϖ(β	ϖ(β	NOUN
ejpam-5461	304	9	)	)	PUNCT
ejpam-5461	304	10	.	.	PUNCT
ejpam-5461	305	1	then	then	ADV
ejpam-5461	305	2	,	,	PUNCT
ejpam-5461	305	3	clearly	clearly	ADV
ejpam-5461	305	4	dg(βi	dg(βi	NUM
ejpam-5461	305	5	)	)	PUNCT
ejpam-5461	306	1	=	=	SYM
ejpam-5461	306	2	ϖ(0	ϖ(0	NOUN
ejpam-5461	306	3	)	)	PUNCT
ejpam-5461	306	4	and	and	CCONJ
ejpam-5461	306	5	dg(0	dg(0	NOUN
ejpam-5461	306	6	)	)	PUNCT
ejpam-5461	306	7	=	=	SYM
ejpam-5461	307	1	(	(	PUNCT
ejpam-5461	307	2	m̂−	m̂−	NOUN
ejpam-5461	307	3	1)ϖ(0	1)ϖ(0	NOUN
ejpam-5461	307	4	)	)	PUNCT
ejpam-5461	307	5	.	.	PUNCT
ejpam-5461	308	1	therefor	therefor	PROPN
ejpam-5461	308	2	,	,	PUNCT
ejpam-5461	308	3	nsoi(k1	nsoi(k1	NOUN
ejpam-5461	308	4	,	,	PUNCT
ejpam-5461	308	5	m̂−	m̂−	PROPN
ejpam-5461	308	6	1	1	NUM
ejpam-5461	308	7	)	)	PUNCT
ejpam-5461	308	8	=	=	PUNCT
ejpam-5461	308	9	tsoi(k1	tsoi(k1	ADJ
ejpam-5461	308	10	,	,	PUNCT
ejpam-5461	308	11	m̂−	m̂−	PROPN
ejpam-5461	308	12	1	1	NUM
ejpam-5461	308	13	)	)	PUNCT
ejpam-5461	308	14	+	+	NUM
ejpam-5461	308	15	isoi(k1	isoi(k1	NOUN
ejpam-5461	308	16	,	,	PUNCT
ejpam-5461	308	17	m̂−	m̂−	PROPN
ejpam-5461	308	18	1	1	NUM
ejpam-5461	308	19	)	)	PUNCT
ejpam-5461	308	20	+	+	CCONJ
ejpam-5461	308	21	fsoi(k1	fsoi(k1	ADJ
ejpam-5461	308	22	,	,	PUNCT
ejpam-5461	308	23	m̂−	m̂−	PROPN
ejpam-5461	308	24	1	1	NUM
ejpam-5461	308	25	)	)	PUNCT
ejpam-5461	308	26	(	(	PUNCT
ejpam-5461	308	27	3.14	3.14	NUM
ejpam-5461	308	28	)	)	PUNCT
ejpam-5461	308	29	tsoi(k1	tsoi(k1	NOUN
ejpam-5461	308	30	,	,	PUNCT
ejpam-5461	308	31	m̂−	m̂−	NOUN
ejpam-5461	308	32	1	1	NUM
ejpam-5461	308	33	)	)	PUNCT
ejpam-5461	308	34	=	=	PUNCT
ejpam-5461	308	35	∑	∑	PUNCT
ejpam-5461	308	36	α	α	X
ejpam-5461	308	37	,	,	PUNCT
ejpam-5461	308	38	β∈e(g	β∈e(g	PROPN
ejpam-5461	308	39	)	)	PUNCT
ejpam-5461	309	1	√	√	PROPN
ejpam-5461	309	2	(	(	PUNCT
ejpam-5461	309	3	τϖ(α)τdg(α))2	τϖ(α)τdg(α))2	X
ejpam-5461	309	4	+	+	CCONJ
ejpam-5461	309	5	(	(	PUNCT
ejpam-5461	309	6	τϖ(β)τdg(β))2	τϖ(β)τdg(β))2	X
ejpam-5461	309	7	=	=	SYM
ejpam-5461	309	8	∑	∑	PUNCT
ejpam-5461	309	9	βi	βi	X
ejpam-5461	309	10	,	,	PUNCT
ejpam-5461	309	11	βj∈e(g	βj∈e(g	NUM
ejpam-5461	309	12	)	)	PUNCT
ejpam-5461	309	13	√	√	NOUN
ejpam-5461	309	14	(	(	PUNCT
ejpam-5461	309	15	τϖ(βi)2(τdg(0))2	τϖ(βi)2(τdg(0))2	X
ejpam-5461	309	16	)	)	PUNCT
ejpam-5461	310	1	+	+	CCONJ
ejpam-5461	310	2	(	(	PUNCT
ejpam-5461	310	3	τϖ(βj)2(τdg(βj))2	τϖ(βj)2(τdg(βj))2	ADJ
ejpam-5461	310	4	)	)	PUNCT
ejpam-5461	310	5	=	=	SYM
ejpam-5461	310	6	∑	∑	PUNCT
ejpam-5461	310	7	βi	βi	X
ejpam-5461	310	8	,	,	PUNCT
ejpam-5461	310	9	βj∈e(g	βj∈e(g	NUM
ejpam-5461	310	10	)	)	PUNCT
ejpam-5461	310	11	√	√	PROPN
ejpam-5461	310	12	(	(	PUNCT
ejpam-5461	310	13	τϖ(βi)2((m̂−	τϖ(βi)2((m̂−	NOUN
ejpam-5461	310	14	1)τϖ(0))2	1)τϖ(0))2	NUM
ejpam-5461	310	15	)	)	PUNCT
ejpam-5461	311	1	+	+	CCONJ
ejpam-5461	311	2	(	(	PUNCT
ejpam-5461	311	3	τϖ(βj)2(τϖ(0)))2	τϖ(βj)2(τϖ(0)))2	INTJ
ejpam-5461	311	4	,	,	PUNCT
ejpam-5461	311	5	since	since	SCONJ
ejpam-5461	311	6	,	,	PUNCT
ejpam-5461	311	7	0	0	NUM
ejpam-5461	311	8	≤	≤	NUM
ejpam-5461	311	9	τϖ(β	τϖ(β	NOUN
ejpam-5461	311	10	)	)	PUNCT
ejpam-5461	311	11	≤	≤	NUM
ejpam-5461	311	12	1	1	NUM
ejpam-5461	311	13	and	and	CCONJ
ejpam-5461	311	14	0	0	NUM
ejpam-5461	311	15	≤	≤	NUM
ejpam-5461	311	16	τρ(ϱ	τρ(ϱ	NOUN
ejpam-5461	311	17	)	)	PUNCT
ejpam-5461	311	18	≤	≤	NUM
ejpam-5461	311	19	1	1	NUM
ejpam-5461	311	20	.	.	PUNCT
ejpam-5461	311	21	therefore	therefore	ADV
ejpam-5461	311	22	,	,	PUNCT
ejpam-5461	311	23	tsoi(k1	tsoi(k1	ADJ
ejpam-5461	311	24	,	,	PUNCT
ejpam-5461	311	25	m̂−	m̂−	PROPN
ejpam-5461	311	26	1	1	NUM
ejpam-5461	311	27	)	)	PUNCT
ejpam-5461	311	28	≤	≤	NOUN
ejpam-5461	311	29	(	(	PUNCT
ejpam-5461	311	30	m̂−	m̂−	NOUN
ejpam-5461	311	31	1	1	NUM
ejpam-5461	311	32	)	)	PUNCT
ejpam-5461	311	33	[	[	PUNCT
ejpam-5461	311	34	√	√	NUM
ejpam-5461	311	35	(	(	PUNCT
ejpam-5461	311	36	12.((m̂−	12.((m̂−	NUM
ejpam-5461	311	37	1)2.12	1)2.12	NUM
ejpam-5461	311	38	)	)	PUNCT
ejpam-5461	311	39	)	)	PUNCT
ejpam-5461	312	1	+	+	CCONJ
ejpam-5461	312	2	(	(	PUNCT
ejpam-5461	312	3	12.12	12.12	NUM
ejpam-5461	312	4	)	)	PUNCT
ejpam-5461	312	5	]	]	PUNCT
ejpam-5461	313	1	=	=	PUNCT
ejpam-5461	313	2	(	(	PUNCT
ejpam-5461	313	3	m̂−	m̂−	PROPN
ejpam-5461	313	4	1	1	NUM
ejpam-5461	313	5	)	)	PUNCT
ejpam-5461	313	6	√	√	PROPN
ejpam-5461	313	7	m̂2	m̂2	PROPN
ejpam-5461	314	1	−	−	NUM
ejpam-5461	314	2	2m̂+	2m̂+	NUM
ejpam-5461	314	3	2	2	NUM
ejpam-5461	314	4	(	(	PUNCT
ejpam-5461	314	5	3.15	3.15	NUM
ejpam-5461	314	6	)	)	PUNCT
ejpam-5461	314	7	m.	m.	NOUN
ejpam-5461	314	8	alqahtani	alqahtani	PROPN
ejpam-5461	314	9	,	,	PUNCT
ejpam-5461	314	10	m.	m.	NOUN
ejpam-5461	314	11	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	314	12	,	,	PUNCT
ejpam-5461	314	13	m.	m.	NOUN
ejpam-5461	314	14	rajeshwari	rajeshwari	PROPN
ejpam-5461	314	15	/	/	SYM
ejpam-5461	314	16	eur	eur	PROPN
ejpam-5461	314	17	.	.	PUNCT
ejpam-5461	315	1	j.	j.	PROPN
ejpam-5461	315	2	pure	pure	PROPN
ejpam-5461	315	3	appl	appl	PROPN
ejpam-5461	315	4	.	.	PROPN
ejpam-5461	315	5	math	math	PROPN
ejpam-5461	315	6	,	,	PUNCT
ejpam-5461	315	7	17	17	NUM
ejpam-5461	315	8	(	(	PUNCT
ejpam-5461	315	9	4	4	NUM
ejpam-5461	315	10	)	)	PUNCT
ejpam-5461	315	11	(	(	PUNCT
ejpam-5461	315	12	2024	2024	NUM
ejpam-5461	315	13	)	)	PUNCT
ejpam-5461	315	14	,	,	PUNCT
ejpam-5461	315	15	2586	2586	NUM
ejpam-5461	315	16	-	-	SYM
ejpam-5461	315	17	2620	2620	NUM
ejpam-5461	315	18	2600	2600	NUM
ejpam-5461	315	19	isoi(k1	isoi(k1	NOUN
ejpam-5461	315	20	,	,	PUNCT
ejpam-5461	315	21	m̂−	m̂−	PROPN
ejpam-5461	315	22	1	1	NUM
ejpam-5461	315	23	)	)	PUNCT
ejpam-5461	315	24	=	=	PUNCT
ejpam-5461	315	25	∑	∑	PUNCT
ejpam-5461	315	26	α	α	X
ejpam-5461	315	27	,	,	PUNCT
ejpam-5461	315	28	β∈e(g	β∈e(g	PROPN
ejpam-5461	315	29	)	)	PUNCT
ejpam-5461	316	1	√	√	PROPN
ejpam-5461	316	2	(	(	PUNCT
ejpam-5461	316	3	ıϖ(α)ıdg(α))2	ıϖ(α)ıdg(α))2	X
ejpam-5461	316	4	+	+	CCONJ
ejpam-5461	316	5	(	(	PUNCT
ejpam-5461	316	6	ıϖ(β)ıdg(β))2	ıϖ(β)ıdg(β))2	NOUN
ejpam-5461	316	7	=	=	SYM
ejpam-5461	316	8	∑	∑	NOUN
ejpam-5461	316	9	βi	βi	X
ejpam-5461	316	10	,	,	PUNCT
ejpam-5461	316	11	βj∈e(g	βj∈e(g	NUM
ejpam-5461	316	12	)	)	PUNCT
ejpam-5461	316	13	√	√	PROPN
ejpam-5461	316	14	(	(	PUNCT
ejpam-5461	316	15	ıϖ(βi)2(ıdg(0))2	ıϖ(βi)2(ıdg(0))2	X
ejpam-5461	316	16	)	)	PUNCT
ejpam-5461	317	1	+	+	CCONJ
ejpam-5461	317	2	(	(	PUNCT
ejpam-5461	317	3	ıϖ(βj)2(ıdg(βj))2	ıϖ(βj)2(ıdg(βj))2	NOUN
ejpam-5461	317	4	)	)	PUNCT
ejpam-5461	317	5	=	=	PUNCT
ejpam-5461	317	6	∑	∑	PUNCT
ejpam-5461	317	7	βi	βi	X
ejpam-5461	317	8	,	,	PUNCT
ejpam-5461	317	9	βj∈e(g	βj∈e(g	NUM
ejpam-5461	317	10	)	)	PUNCT
ejpam-5461	317	11	√	√	PROPN
ejpam-5461	317	12	(	(	PUNCT
ejpam-5461	317	13	ıϖ(βi)2((m̂−	ıϖ(βi)2((m̂−	PROPN
ejpam-5461	317	14	1)ıϖ(0))2	1)ıϖ(0))2	NUM
ejpam-5461	317	15	)	)	PUNCT
ejpam-5461	318	1	+	+	CCONJ
ejpam-5461	318	2	(	(	PUNCT
ejpam-5461	318	3	ıϖ(βj)2(ıϖ(0)))2	ıϖ(βj)2(ıϖ(0)))2	NOUN
ejpam-5461	318	4	,	,	PUNCT
ejpam-5461	318	5	since	since	SCONJ
ejpam-5461	318	6	0	0	NUM
ejpam-5461	318	7	≤	≤	NOUN
ejpam-5461	318	8	ıϖ(β	ıϖ(β	NOUN
ejpam-5461	318	9	)	)	PUNCT
ejpam-5461	318	10	≤	≤	NUM
ejpam-5461	318	11	1	1	NUM
ejpam-5461	318	12	and	and	CCONJ
ejpam-5461	318	13	0	0	NUM
ejpam-5461	318	14	≤	≤	NOUN
ejpam-5461	318	15	ıρ(ϱ	ıρ(ϱ	X
ejpam-5461	318	16	)	)	PUNCT
ejpam-5461	318	17	≤	≤	NUM
ejpam-5461	318	18	1	1	NUM
ejpam-5461	318	19	.	.	PUNCT
ejpam-5461	319	1	therefore	therefore	ADV
ejpam-5461	319	2	,	,	PUNCT
ejpam-5461	319	3	isoi(k1	isoi(k1	NOUN
ejpam-5461	319	4	,	,	PUNCT
ejpam-5461	319	5	m̂−	m̂−	PROPN
ejpam-5461	319	6	1	1	NUM
ejpam-5461	319	7	)	)	PUNCT
ejpam-5461	319	8	≤	≤	NOUN
ejpam-5461	319	9	(	(	PUNCT
ejpam-5461	319	10	m̂−	m̂−	NOUN
ejpam-5461	319	11	1	1	NUM
ejpam-5461	319	12	)	)	PUNCT
ejpam-5461	319	13	[	[	PUNCT
ejpam-5461	319	14	√	√	NUM
ejpam-5461	319	15	(	(	PUNCT
ejpam-5461	319	16	12.((m̂−	12.((m̂−	NUM
ejpam-5461	319	17	1)2.12	1)2.12	NUM
ejpam-5461	319	18	)	)	PUNCT
ejpam-5461	319	19	)	)	PUNCT
ejpam-5461	320	1	+	+	CCONJ
ejpam-5461	320	2	(	(	PUNCT
ejpam-5461	320	3	12.12	12.12	NUM
ejpam-5461	320	4	)	)	PUNCT
ejpam-5461	320	5	]	]	PUNCT
ejpam-5461	320	6	isoi(k1	isoi(k1	NOUN
ejpam-5461	320	7	,	,	PUNCT
ejpam-5461	320	8	m̂−	m̂−	PROPN
ejpam-5461	320	9	1	1	NUM
ejpam-5461	320	10	)	)	PUNCT
ejpam-5461	320	11	=	=	SYM
ejpam-5461	320	12	(	(	PUNCT
ejpam-5461	320	13	m̂−	m̂−	PROPN
ejpam-5461	320	14	1	1	NUM
ejpam-5461	320	15	)	)	PUNCT
ejpam-5461	320	16	√	√	PROPN
ejpam-5461	320	17	m̂2	m̂2	PROPN
ejpam-5461	321	1	−	−	NUM
ejpam-5461	321	2	2m̂+	2m̂+	NUM
ejpam-5461	321	3	2	2	NUM
ejpam-5461	321	4	(	(	PUNCT
ejpam-5461	321	5	3.16	3.16	NUM
ejpam-5461	321	6	)	)	PUNCT
ejpam-5461	321	7	fsoi(k1	fsoi(k1	PROPN
ejpam-5461	321	8	,	,	PUNCT
ejpam-5461	321	9	m̂−	m̂−	PROPN
ejpam-5461	321	10	1	1	NUM
ejpam-5461	321	11	)	)	PUNCT
ejpam-5461	321	12	=	=	PUNCT
ejpam-5461	321	13	∑	∑	PUNCT
ejpam-5461	321	14	α	α	X
ejpam-5461	321	15	,	,	PUNCT
ejpam-5461	321	16	β∈e(g	β∈e(g	PROPN
ejpam-5461	321	17	)	)	PUNCT
ejpam-5461	321	18	√	√	PROPN
ejpam-5461	321	19	(	(	PUNCT
ejpam-5461	321	20	𭟋ϖ(α)𭟋dg(α))2	𭟋ϖ(α)𭟋dg(α))2	X
ejpam-5461	321	21	+	+	CCONJ
ejpam-5461	321	22	(	(	PUNCT
ejpam-5461	321	23	𭟋ϖ(β)𭟋dg(β))2	𭟋ϖ(β)𭟋dg(β))2	NOUN
ejpam-5461	321	24	=	=	PUNCT
ejpam-5461	321	25	∑	∑	PUNCT
ejpam-5461	321	26	βi	βi	X
ejpam-5461	321	27	,	,	PUNCT
ejpam-5461	321	28	βj∈e(g	βj∈e(g	NUM
ejpam-5461	321	29	)	)	PUNCT
ejpam-5461	321	30	√	√	PROPN
ejpam-5461	321	31	(	(	PUNCT
ejpam-5461	321	32	𭟋ϖ(βi)2(𭟋dg(0))2	𭟋ϖ(βi)2(𭟋dg(0))2	PROPN
ejpam-5461	321	33	)	)	PUNCT
ejpam-5461	321	34	+	+	CCONJ
ejpam-5461	321	35	(	(	PUNCT
ejpam-5461	321	36	𭟋ϖ(βj)2(𭟋dg(βj))2	𭟋ϖ(βj)2(𭟋dg(βj))2	NOUN
ejpam-5461	321	37	)	)	PUNCT
ejpam-5461	321	38	=	=	SYM
ejpam-5461	321	39	∑	∑	PUNCT
ejpam-5461	321	40	βi	βi	X
ejpam-5461	321	41	,	,	PUNCT
ejpam-5461	321	42	βj∈e(g	βj∈e(g	NUM
ejpam-5461	321	43	)	)	PUNCT
ejpam-5461	321	44	√	√	PROPN
ejpam-5461	321	45	(	(	PUNCT
ejpam-5461	321	46	𭟋ϖ(βi)2((m̂−	𭟋ϖ(βi)2((m̂−	NOUN
ejpam-5461	321	47	1)𭟋ϖ(0))2	1)𭟋ϖ(0))2	NUM
ejpam-5461	321	48	)	)	PUNCT
ejpam-5461	321	49	+	+	CCONJ
ejpam-5461	321	50	(	(	PUNCT
ejpam-5461	321	51	𭟋ϖ(βj)2(𭟋ϖ(0)))2	𭟋ϖ(βj)2(𭟋ϖ(0)))2	NOUN
ejpam-5461	321	52	,	,	PUNCT
ejpam-5461	321	53	since	since	SCONJ
ejpam-5461	321	54	0	0	NUM
ejpam-5461	321	55	≤	≤	NOUN
ejpam-5461	321	56	𭟋ϖ(β	𭟋ϖ(β	NOUN
ejpam-5461	321	57	)	)	PUNCT
ejpam-5461	321	58	≤	≤	NUM
ejpam-5461	321	59	1	1	NUM
ejpam-5461	321	60	and	and	CCONJ
ejpam-5461	321	61	0	0	NUM
ejpam-5461	321	62	≤	≤	NOUN
ejpam-5461	321	63	𭟋ρ(ϱ	𭟋ρ(ϱ	PUNCT
ejpam-5461	321	64	)	)	PUNCT
ejpam-5461	321	65	≤	≤	NUM
ejpam-5461	321	66	1	1	NUM
ejpam-5461	321	67	.	.	PUNCT
ejpam-5461	322	1	therefore	therefore	ADV
ejpam-5461	322	2	,	,	PUNCT
ejpam-5461	322	3	fsoi(k1	fsoi(k1	PROPN
ejpam-5461	322	4	,	,	PUNCT
ejpam-5461	322	5	m̂−	m̂−	PROPN
ejpam-5461	322	6	1	1	NUM
ejpam-5461	322	7	)	)	PUNCT
ejpam-5461	322	8	≤	≤	NOUN
ejpam-5461	322	9	(	(	PUNCT
ejpam-5461	322	10	m̂−	m̂−	NOUN
ejpam-5461	322	11	1	1	NUM
ejpam-5461	322	12	)	)	PUNCT
ejpam-5461	322	13	[	[	PUNCT
ejpam-5461	322	14	√	√	NUM
ejpam-5461	322	15	(	(	PUNCT
ejpam-5461	322	16	12.((m̂−	12.((m̂−	NUM
ejpam-5461	322	17	1)2.12	1)2.12	NUM
ejpam-5461	322	18	)	)	PUNCT
ejpam-5461	322	19	)	)	PUNCT
ejpam-5461	323	1	+	+	CCONJ
ejpam-5461	323	2	(	(	PUNCT
ejpam-5461	323	3	12.12	12.12	NUM
ejpam-5461	323	4	)	)	PUNCT
ejpam-5461	323	5	]	]	PUNCT
ejpam-5461	324	1	fsoi(k1	fsoi(k1	PROPN
ejpam-5461	324	2	,	,	PUNCT
ejpam-5461	324	3	m̂−	m̂−	PROPN
ejpam-5461	324	4	1	1	NUM
ejpam-5461	324	5	)	)	PUNCT
ejpam-5461	324	6	=	=	SYM
ejpam-5461	324	7	(	(	PUNCT
ejpam-5461	324	8	m̂−	m̂−	PROPN
ejpam-5461	324	9	1	1	NUM
ejpam-5461	324	10	)	)	PUNCT
ejpam-5461	324	11	√	√	PROPN
ejpam-5461	324	12	m̂2	m̂2	PROPN
ejpam-5461	325	1	−	−	NUM
ejpam-5461	325	2	2m̂+	2m̂+	NUM
ejpam-5461	325	3	2	2	NUM
ejpam-5461	325	4	(	(	PUNCT
ejpam-5461	325	5	3.17	3.17	NUM
ejpam-5461	325	6	)	)	PUNCT
ejpam-5461	325	7	substitute	substitute	NOUN
ejpam-5461	325	8	(	(	PUNCT
ejpam-5461	325	9	3.15	3.15	NUM
ejpam-5461	325	10	)	)	PUNCT
ejpam-5461	325	11	,	,	PUNCT
ejpam-5461	325	12	(	(	PUNCT
ejpam-5461	325	13	3.16	3.16	NUM
ejpam-5461	325	14	)	)	PUNCT
ejpam-5461	325	15	and	and	CCONJ
ejpam-5461	325	16	(	(	PUNCT
ejpam-5461	325	17	3.17	3.17	NUM
ejpam-5461	325	18	)	)	PUNCT
ejpam-5461	325	19	in	in	ADP
ejpam-5461	325	20	(	(	PUNCT
ejpam-5461	325	21	3.14	3.14	NUM
ejpam-5461	325	22	)	)	PUNCT
ejpam-5461	325	23	,	,	PUNCT
ejpam-5461	325	24	we	we	PRON
ejpam-5461	325	25	get	get	VERB
ejpam-5461	325	26	nsoi(k1	nsoi(k1	NOUN
ejpam-5461	325	27	,	,	PUNCT
ejpam-5461	325	28	m̂−	m̂−	NOUN
ejpam-5461	325	29	1	1	NUM
ejpam-5461	325	30	)	)	PUNCT
ejpam-5461	325	31	=	=	SYM
ejpam-5461	325	32	(	(	PUNCT
ejpam-5461	325	33	m̂−	m̂−	PROPN
ejpam-5461	325	34	1	1	NUM
ejpam-5461	325	35	)	)	PUNCT
ejpam-5461	326	1	√	√	PROPN
ejpam-5461	327	1	m̂2	m̂2	PROPN
ejpam-5461	328	1	−	−	NUM
ejpam-5461	328	2	2m̂+	2m̂+	NUM
ejpam-5461	328	3	2	2	NUM
ejpam-5461	328	4	+	+	CCONJ
ejpam-5461	328	5	(	(	PUNCT
ejpam-5461	328	6	m̂−	m̂−	NOUN
ejpam-5461	328	7	1	1	NUM
ejpam-5461	328	8	)	)	PUNCT
ejpam-5461	328	9	√	√	PROPN
ejpam-5461	328	10	m̂2	m̂2	PROPN
ejpam-5461	329	1	−	−	NUM
ejpam-5461	329	2	2m̂+	2m̂+	NUM
ejpam-5461	329	3	2	2	NUM
ejpam-5461	329	4	+	+	CCONJ
ejpam-5461	329	5	(	(	PUNCT
ejpam-5461	329	6	m̂−	m̂−	NOUN
ejpam-5461	329	7	1	1	NUM
ejpam-5461	329	8	)	)	PUNCT
ejpam-5461	329	9	√	√	PROPN
ejpam-5461	329	10	m̂2	m̂2	PROPN
ejpam-5461	330	1	−	−	NUM
ejpam-5461	330	2	2m̂+	2m̂+	NUM
ejpam-5461	330	3	2	2	NUM
ejpam-5461	330	4	nsoi(k1	nsoi(k1	NOUN
ejpam-5461	330	5	,	,	PUNCT
ejpam-5461	330	6	m̂−	m̂−	NOUN
ejpam-5461	330	7	1	1	NUM
ejpam-5461	330	8	)	)	PUNCT
ejpam-5461	330	9	=	=	SYM
ejpam-5461	331	1	3((m̂−	3((m̂−	NUM
ejpam-5461	331	2	1	1	X
ejpam-5461	331	3	)	)	PUNCT
ejpam-5461	331	4	√	√	PROPN
ejpam-5461	331	5	m̂2	m̂2	PROPN
ejpam-5461	332	1	−	−	NUM
ejpam-5461	332	2	2m̂+	2m̂+	NOUN
ejpam-5461	332	3	2	2	NUM
ejpam-5461	332	4	)	)	PUNCT
ejpam-5461	332	5	.	.	PUNCT
ejpam-5461	333	1	hence	hence	ADV
ejpam-5461	333	2	the	the	DET
ejpam-5461	333	3	proof	proof	NOUN
ejpam-5461	333	4	.	.	PUNCT
ejpam-5461	334	1	definition	definition	NOUN
ejpam-5461	334	2	9	9	NUM
ejpam-5461	334	3	.	.	PUNCT
ejpam-5461	335	1	let	let	VERB
ejpam-5461	335	2	g	g	PROPN
ejpam-5461	335	3	=	=	SYM
ejpam-5461	335	4	(	(	PUNCT
ejpam-5461	335	5	v	v	NOUN
ejpam-5461	335	6	,	,	PUNCT
ejpam-5461	335	7	ϖ	ϖ	PROPN
ejpam-5461	335	8	,	,	PUNCT
ejpam-5461	335	9	ρ	ρ	NOUN
ejpam-5461	335	10	)	)	PUNCT
ejpam-5461	335	11	be	be	VERB
ejpam-5461	335	12	a	a	DET
ejpam-5461	335	13	ng	ng	PROPN
ejpam-5461	335	14	then	then	ADV
ejpam-5461	335	15	the	the	DET
ejpam-5461	335	16	first	first	PROPN
ejpam-5461	335	17	zagreb	zagreb	PROPN
ejpam-5461	335	18	index	index	NOUN
ejpam-5461	335	19	of	of	ADP
ejpam-5461	335	20	neutrosophic	neutrosophic	ADJ
ejpam-5461	335	21	graph	graph	NOUN
ejpam-5461	335	22	is	be	AUX
ejpam-5461	335	23	defined	define	VERB
ejpam-5461	335	24	as	as	ADP
ejpam-5461	335	25	follows	follow	VERB
ejpam-5461	335	26	:	:	PUNCT
ejpam-5461	335	27	nfzi(g	nfzi(g	ADJ
ejpam-5461	335	28	)	)	PUNCT
ejpam-5461	336	1	=	=	PUNCT
ejpam-5461	336	2	∑	∑	PUNCT
ejpam-5461	336	3	α	α	X
ejpam-5461	336	4	,	,	PUNCT
ejpam-5461	336	5	β∈e(g	β∈e(g	PROPN
ejpam-5461	336	6	)	)	PUNCT
ejpam-5461	337	1	[	[	X
ejpam-5461	337	2	(	(	PUNCT
ejpam-5461	337	3	τϖ(α)τdg(α	τϖ(α)τdg(α	NOUN
ejpam-5461	337	4	)	)	PUNCT
ejpam-5461	337	5	)	)	PUNCT
ejpam-5461	338	1	+	+	CCONJ
ejpam-5461	338	2	(	(	PUNCT
ejpam-5461	338	3	τϖ(β)τdg(β	τϖ(β)τdg(β	NOUN
ejpam-5461	338	4	)	)	PUNCT
ejpam-5461	338	5	)	)	PUNCT
ejpam-5461	338	6	]	]	PUNCT
ejpam-5461	339	1	+	+	CCONJ
ejpam-5461	340	1	[	[	X
ejpam-5461	340	2	(	(	PUNCT
ejpam-5461	340	3	ıϖ(α)ıdg(α	ıϖ(α)ıdg(α	X
ejpam-5461	340	4	)	)	PUNCT
ejpam-5461	340	5	)	)	PUNCT
ejpam-5461	341	1	+	+	CCONJ
ejpam-5461	341	2	(	(	PUNCT
ejpam-5461	341	3	ıϖ(β)ıdg(β	ıϖ(β)ıdg(β	NOUN
ejpam-5461	341	4	)	)	PUNCT
ejpam-5461	341	5	)	)	PUNCT
ejpam-5461	341	6	]	]	PUNCT
ejpam-5461	341	7	(	(	PUNCT
ejpam-5461	341	8	3.18	3.18	NUM
ejpam-5461	341	9	)	)	PUNCT
ejpam-5461	341	10	+	+	CCONJ
ejpam-5461	342	1	[	[	X
ejpam-5461	342	2	(	(	PUNCT
ejpam-5461	342	3	𭟋ϖ(α)𭟋dg(α	𭟋ϖ(α)𭟋dg(α	NOUN
ejpam-5461	342	4	)	)	PUNCT
ejpam-5461	342	5	)	)	PUNCT
ejpam-5461	343	1	+	+	CCONJ
ejpam-5461	343	2	(	(	PUNCT
ejpam-5461	343	3	𭟋ϖ(β)𭟋dg(β	𭟋ϖ(β)𭟋dg(β	NOUN
ejpam-5461	343	4	)	)	PUNCT
ejpam-5461	343	5	)	)	PUNCT
ejpam-5461	343	6	]	]	PUNCT
ejpam-5461	344	1	m.	m.	PROPN
ejpam-5461	344	2	alqahtani	alqahtani	PROPN
ejpam-5461	344	3	,	,	PUNCT
ejpam-5461	344	4	m.	m.	NOUN
ejpam-5461	344	5	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	344	6	,	,	PUNCT
ejpam-5461	344	7	m.	m.	NOUN
ejpam-5461	344	8	rajeshwari	rajeshwari	PROPN
ejpam-5461	344	9	/	/	SYM
ejpam-5461	344	10	eur	eur	PROPN
ejpam-5461	344	11	.	.	PUNCT
ejpam-5461	345	1	j.	j.	PROPN
ejpam-5461	345	2	pure	pure	PROPN
ejpam-5461	345	3	appl	appl	PROPN
ejpam-5461	345	4	.	.	PROPN
ejpam-5461	345	5	math	math	PROPN
ejpam-5461	345	6	,	,	PUNCT
ejpam-5461	345	7	17	17	NUM
ejpam-5461	345	8	(	(	PUNCT
ejpam-5461	345	9	4	4	NUM
ejpam-5461	345	10	)	)	PUNCT
ejpam-5461	345	11	(	(	PUNCT
ejpam-5461	345	12	2024	2024	NUM
ejpam-5461	345	13	)	)	PUNCT
ejpam-5461	345	14	,	,	PUNCT
ejpam-5461	345	15	2586	2586	NUM
ejpam-5461	345	16	-	-	SYM
ejpam-5461	345	17	2620	2620	NUM
ejpam-5461	345	18	2601	2601	NUM
ejpam-5461	345	19	theorem	theorem	VERB
ejpam-5461	345	20	4	4	NUM
ejpam-5461	345	21	.	.	PUNCT
ejpam-5461	346	1	let	let	VERB
ejpam-5461	346	2	g	g	PROPN
ejpam-5461	346	3	=	=	SYM
ejpam-5461	346	4	(	(	PUNCT
ejpam-5461	346	5	v	v	NOUN
ejpam-5461	346	6	,	,	PUNCT
ejpam-5461	346	7	ϖ	ϖ	PROPN
ejpam-5461	346	8	,	,	PUNCT
ejpam-5461	346	9	ρ	ρ	NOUN
ejpam-5461	346	10	)	)	PUNCT
ejpam-5461	346	11	be	be	VERB
ejpam-5461	346	12	a	a	DET
ejpam-5461	346	13	nfzi	nfzi	NOUN
ejpam-5461	346	14	of	of	ADP
ejpam-5461	346	15	graph	graph	NOUN
ejpam-5461	346	16	denoted	denote	VERB
ejpam-5461	346	17	the	the	DET
ejpam-5461	346	18	first	first	ADJ
ejpam-5461	346	19	zagreb	zagreb	PROPN
ejpam-5461	346	20	index	index	NOUN
ejpam-5461	346	21	for	for	ADP
ejpam-5461	346	22	neurotrophic	neurotrophic	ADJ
ejpam-5461	346	23	graphs	graph	NOUN
ejpam-5461	346	24	.	.	PUNCT
ejpam-5461	347	1	then	then	ADV
ejpam-5461	347	2	nsoi(g	nsoi(g	PROPN
ejpam-5461	347	3	)	)	PUNCT
ejpam-5461	347	4	≤	≤	NUM
ejpam-5461	347	5	nfzi(g	nfzi(g	PROPN
ejpam-5461	347	6	)	)	PUNCT
ejpam-5461	347	7	.	.	PUNCT
ejpam-5461	348	1	proof	proof	NOUN
ejpam-5461	348	2	.	.	PUNCT
ejpam-5461	349	1	let	let	VERB
ejpam-5461	349	2	g	g	PROPN
ejpam-5461	349	3	=	=	SYM
ejpam-5461	349	4	(	(	PUNCT
ejpam-5461	349	5	v	v	NOUN
ejpam-5461	349	6	,	,	PUNCT
ejpam-5461	349	7	w	w	PROPN
ejpam-5461	349	8	,	,	PUNCT
ejpam-5461	349	9	p	p	NOUN
ejpam-5461	349	10	)	)	PUNCT
ejpam-5461	349	11	be	be	AUX
ejpam-5461	349	12	a	a	DET
ejpam-5461	349	13	ng	ng	PROPN
ejpam-5461	349	14	.	.	PUNCT
ejpam-5461	350	1	by	by	ADP
ejpam-5461	350	2	the	the	DET
ejpam-5461	350	3	definition	definition	NOUN
ejpam-5461	350	4	of	of	ADP
ejpam-5461	350	5	soi	soi	NOUN
ejpam-5461	350	6	for	for	ADP
ejpam-5461	350	7	ngs	ng	NOUN
ejpam-5461	350	8	we	we	PRON
ejpam-5461	350	9	have	have	VERB
ejpam-5461	350	10	,	,	PUNCT
ejpam-5461	350	11	nsoi(g	nsoi(g	ADV
ejpam-5461	350	12	)	)	PUNCT
ejpam-5461	350	13	=	=	SYM
ejpam-5461	350	14	tsoi(g	tsoi(g	PROPN
ejpam-5461	350	15	)	)	PUNCT
ejpam-5461	350	16	+	+	NUM
ejpam-5461	350	17	isoi(g	isoi(g	X
ejpam-5461	350	18	)	)	PUNCT
ejpam-5461	350	19	+	+	NUM
ejpam-5461	350	20	fsoi(g	fsoi(g	X
ejpam-5461	350	21	)	)	PUNCT
ejpam-5461	350	22	(	(	PUNCT
ejpam-5461	350	23	3.19	3.19	NUM
ejpam-5461	350	24	)	)	PUNCT
ejpam-5461	350	25	tsoi(g	tsoi(g	PROPN
ejpam-5461	350	26	)	)	PUNCT
ejpam-5461	350	27	=	=	SYM
ejpam-5461	350	28	∑	∑	PUNCT
ejpam-5461	350	29	α	α	X
ejpam-5461	350	30	,	,	PUNCT
ejpam-5461	350	31	β∈e(g	β∈e(g	PROPN
ejpam-5461	350	32	)	)	PUNCT
ejpam-5461	350	33	√	√	PROPN
ejpam-5461	351	1	(	(	PUNCT
ejpam-5461	351	2	τϖ(α)τdg(α))2	τϖ(α)τdg(α))2	X
ejpam-5461	351	3	+	+	CCONJ
ejpam-5461	351	4	(	(	PUNCT
ejpam-5461	351	5	τϖ(β)τdg(β))2	τϖ(β)τdg(β))2	X
ejpam-5461	351	6	=	=	SYM
ejpam-5461	351	7	∑	∑	PUNCT
ejpam-5461	351	8	α	α	X
ejpam-5461	351	9	,	,	PUNCT
ejpam-5461	351	10	β∈e(g	β∈e(g	PROPN
ejpam-5461	351	11	)	)	PUNCT
ejpam-5461	351	12	√	√	PROPN
ejpam-5461	351	13	(	(	PUNCT
ejpam-5461	351	14	τϖ(α)τdg(α	τϖ(α)τdg(α	NOUN
ejpam-5461	351	15	)	)	PUNCT
ejpam-5461	351	16	)	)	PUNCT
ejpam-5461	352	1	+	+	CCONJ
ejpam-5461	352	2	(	(	PUNCT
ejpam-5461	352	3	τϖ(β)τdg(β))2	τϖ(β)τdg(β))2	NUM
ejpam-5461	352	4	−	−	PRON
ejpam-5461	352	5	2τϖ(α)τϖ(β)τdg(α)τdg(β	2τϖ(α)τϖ(β)τdg(α)τdg(β	NOUN
ejpam-5461	352	6	)	)	PUNCT
ejpam-5461	352	7	≤	≤	NOUN
ejpam-5461	352	8	∑	∑	PUNCT
ejpam-5461	352	9	α	α	X
ejpam-5461	352	10	,	,	PUNCT
ejpam-5461	352	11	β∈e(g	β∈e(g	PROPN
ejpam-5461	352	12	)	)	PUNCT
ejpam-5461	352	13	√	√	PROPN
ejpam-5461	352	14	(	(	PUNCT
ejpam-5461	352	15	τϖ(α)τdg(α	τϖ(α)τdg(α	NOUN
ejpam-5461	352	16	)	)	PUNCT
ejpam-5461	352	17	+	+	CCONJ
ejpam-5461	352	18	τϖ(β)τdg(β))2	τϖ(β)τdg(β))2	NUM
ejpam-5461	352	19	tsoi(g	tsoi(g	NUM
ejpam-5461	352	20	)	)	PUNCT
ejpam-5461	352	21	=	=	SYM
ejpam-5461	352	22	∑	∑	PUNCT
ejpam-5461	352	23	α	α	X
ejpam-5461	352	24	,	,	PUNCT
ejpam-5461	352	25	β∈e(g	β∈e(g	PROPN
ejpam-5461	352	26	)	)	PUNCT
ejpam-5461	352	27	(	(	PUNCT
ejpam-5461	352	28	τϖ(α)τdg(α	τϖ(α)τdg(α	NOUN
ejpam-5461	352	29	)	)	PUNCT
ejpam-5461	352	30	+	+	X
ejpam-5461	352	31	τϖ(β)τdg(β	τϖ(β)τdg(β	NOUN
ejpam-5461	352	32	)	)	PUNCT
ejpam-5461	352	33	)	)	PUNCT
ejpam-5461	352	34	(	(	PUNCT
ejpam-5461	352	35	3.20	3.20	NUM
ejpam-5461	352	36	)	)	PUNCT
ejpam-5461	352	37	isoi(g	isoi(g	PROPN
ejpam-5461	352	38	)	)	PUNCT
ejpam-5461	352	39	=	=	PUNCT
ejpam-5461	352	40	∑	∑	PUNCT
ejpam-5461	352	41	α	α	X
ejpam-5461	352	42	,	,	PUNCT
ejpam-5461	352	43	β∈e(g	β∈e(g	PROPN
ejpam-5461	352	44	)	)	PUNCT
ejpam-5461	352	45	√	√	PROPN
ejpam-5461	352	46	(	(	PUNCT
ejpam-5461	352	47	ıϖ(α)ıdg(α))2	ıϖ(α)ıdg(α))2	X
ejpam-5461	352	48	+	+	CCONJ
ejpam-5461	352	49	(	(	PUNCT
ejpam-5461	352	50	ıϖ(β)ıdg(β))2	ıϖ(β)ıdg(β))2	X
ejpam-5461	352	51	=	=	SYM
ejpam-5461	352	52	∑	∑	PUNCT
ejpam-5461	352	53	α	α	X
ejpam-5461	352	54	,	,	PUNCT
ejpam-5461	352	55	β∈e(g	β∈e(g	PROPN
ejpam-5461	352	56	)	)	PUNCT
ejpam-5461	352	57	√	√	PROPN
ejpam-5461	352	58	(	(	PUNCT
ejpam-5461	352	59	ıϖ(α)ıdg(α	ıϖ(α)ıdg(α	X
ejpam-5461	352	60	)	)	PUNCT
ejpam-5461	352	61	)	)	PUNCT
ejpam-5461	353	1	+	+	CCONJ
ejpam-5461	353	2	(	(	PUNCT
ejpam-5461	353	3	ıϖ(β)ıdg(β))2	ıϖ(β)ıdg(β))2	NOUN
ejpam-5461	353	4	−	−	PROPN
ejpam-5461	353	5	2ıϖ(α)ıϖ(β)ıdg(α)ıdg(β	2ıϖ(α)ıϖ(β)ıdg(α)ıdg(β	NOUN
ejpam-5461	353	6	)	)	PUNCT
ejpam-5461	353	7	≤	≤	NOUN
ejpam-5461	353	8	∑	∑	PUNCT
ejpam-5461	353	9	α	α	X
ejpam-5461	353	10	,	,	PUNCT
ejpam-5461	353	11	β∈e(g	β∈e(g	PROPN
ejpam-5461	353	12	)	)	PUNCT
ejpam-5461	353	13	√	√	PROPN
ejpam-5461	353	14	(	(	PUNCT
ejpam-5461	353	15	ıϖ(α)ıdg(α	ıϖ(α)ıdg(α	X
ejpam-5461	353	16	)	)	PUNCT
ejpam-5461	354	1	+	+	CCONJ
ejpam-5461	354	2	ıϖ(β)ıdg(β))2	ıϖ(β)ıdg(β))2	NUM
ejpam-5461	354	3	isoi(g	isoi(g	NOUN
ejpam-5461	354	4	)	)	PUNCT
ejpam-5461	354	5	=	=	SYM
ejpam-5461	354	6	∑	∑	PUNCT
ejpam-5461	354	7	α	α	X
ejpam-5461	354	8	,	,	PUNCT
ejpam-5461	354	9	β∈e(g	β∈e(g	PROPN
ejpam-5461	354	10	)	)	PUNCT
ejpam-5461	354	11	(	(	PUNCT
ejpam-5461	354	12	ıϖ(α)ıdg(α	ıϖ(α)ıdg(α	X
ejpam-5461	354	13	)	)	PUNCT
ejpam-5461	354	14	+	+	CCONJ
ejpam-5461	354	15	ıϖ(β)ıdg(β	ıϖ(β)ıdg(β	NOUN
ejpam-5461	354	16	)	)	PUNCT
ejpam-5461	354	17	)	)	PUNCT
ejpam-5461	354	18	(	(	PUNCT
ejpam-5461	354	19	3.21	3.21	X
ejpam-5461	354	20	)	)	PUNCT
ejpam-5461	354	21	fsoi(g	fsoi(g	NOUN
ejpam-5461	354	22	)	)	PUNCT
ejpam-5461	355	1	=	=	PUNCT
ejpam-5461	355	2	∑	∑	PUNCT
ejpam-5461	355	3	α	α	X
ejpam-5461	355	4	,	,	PUNCT
ejpam-5461	355	5	β∈e(g	β∈e(g	PROPN
ejpam-5461	355	6	)	)	PUNCT
ejpam-5461	356	1	√	√	PROPN
ejpam-5461	356	2	(	(	PUNCT
ejpam-5461	356	3	𭟋ϖ(α)𭟋dg(α))2	𭟋ϖ(α)𭟋dg(α))2	X
ejpam-5461	356	4	+	+	CCONJ
ejpam-5461	356	5	(	(	PUNCT
ejpam-5461	356	6	𭟋ϖ(β)𭟋dg(β))2	𭟋ϖ(β)𭟋dg(β))2	NOUN
ejpam-5461	356	7	=	=	PUNCT
ejpam-5461	356	8	∑	∑	PUNCT
ejpam-5461	356	9	α	α	X
ejpam-5461	356	10	,	,	PUNCT
ejpam-5461	356	11	β∈e(g	β∈e(g	PROPN
ejpam-5461	356	12	)	)	PUNCT
ejpam-5461	356	13	√	√	PROPN
ejpam-5461	356	14	(	(	PUNCT
ejpam-5461	356	15	𭟋ϖ(α)𭟋dg(α	𭟋ϖ(α)𭟋dg(α	PROPN
ejpam-5461	356	16	)	)	PUNCT
ejpam-5461	356	17	)	)	PUNCT
ejpam-5461	357	1	+	+	CCONJ
ejpam-5461	357	2	(	(	PUNCT
ejpam-5461	357	3	𭟋ϖ(β)𭟋dg(β))2	𭟋ϖ(β)𭟋dg(β))2	NOUN
ejpam-5461	357	4	−	−	NOUN
ejpam-5461	357	5	2𭟋ϖ(α)𭟋ϖ(β)𭟋dg(α)𭟋dg(β	2𭟋ϖ(α)𭟋ϖ(β)𭟋dg(α)𭟋dg(β	NOUN
ejpam-5461	357	6	)	)	PUNCT
ejpam-5461	357	7	≤	≤	NOUN
ejpam-5461	357	8	∑	∑	PUNCT
ejpam-5461	357	9	α	α	X
ejpam-5461	357	10	,	,	PUNCT
ejpam-5461	357	11	β∈e(g	β∈e(g	PROPN
ejpam-5461	357	12	)	)	PUNCT
ejpam-5461	357	13	√	√	PROPN
ejpam-5461	357	14	(	(	PUNCT
ejpam-5461	357	15	𭟋ϖ(α)𭟋dg(α	𭟋ϖ(α)𭟋dg(α	PROPN
ejpam-5461	357	16	)	)	PUNCT
ejpam-5461	357	17	+	+	PROPN
ejpam-5461	357	18	𭟋ϖ(β)𭟋dg(β))2	𭟋ϖ(β)𭟋dg(β))2	NUM
ejpam-5461	357	19	fsoi(g	fsoi(g	PROPN
ejpam-5461	357	20	)	)	PUNCT
ejpam-5461	357	21	=	=	PUNCT
ejpam-5461	357	22	∑	∑	PUNCT
ejpam-5461	357	23	α	α	X
ejpam-5461	357	24	,	,	PUNCT
ejpam-5461	357	25	β∈e(g	β∈e(g	PROPN
ejpam-5461	357	26	)	)	PUNCT
ejpam-5461	357	27	(	(	PUNCT
ejpam-5461	357	28	𭟋ϖ(α)𭟋dg(α	𭟋ϖ(α)𭟋dg(α	X
ejpam-5461	357	29	)	)	PUNCT
ejpam-5461	357	30	+	+	ADJ
ejpam-5461	357	31	𭟋ϖ(β)𭟋dg(β	𭟋ϖ(β)𭟋dg(β	NOUN
ejpam-5461	357	32	)	)	PUNCT
ejpam-5461	357	33	)	)	PUNCT
ejpam-5461	357	34	(	(	PUNCT
ejpam-5461	357	35	3.22	3.22	NUM
ejpam-5461	357	36	)	)	PUNCT
ejpam-5461	357	37	m.	m.	NOUN
ejpam-5461	357	38	alqahtani	alqahtani	PROPN
ejpam-5461	357	39	,	,	PUNCT
ejpam-5461	357	40	m.	m.	NOUN
ejpam-5461	357	41	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	357	42	,	,	PUNCT
ejpam-5461	357	43	m.	m.	NOUN
ejpam-5461	357	44	rajeshwari	rajeshwari	PROPN
ejpam-5461	357	45	/	/	SYM
ejpam-5461	357	46	eur	eur	PROPN
ejpam-5461	357	47	.	.	PUNCT
ejpam-5461	358	1	j.	j.	PROPN
ejpam-5461	358	2	pure	pure	PROPN
ejpam-5461	358	3	appl	appl	PROPN
ejpam-5461	358	4	.	.	PROPN
ejpam-5461	358	5	math	math	PROPN
ejpam-5461	358	6	,	,	PUNCT
ejpam-5461	358	7	17	17	NUM
ejpam-5461	358	8	(	(	PUNCT
ejpam-5461	358	9	4	4	NUM
ejpam-5461	358	10	)	)	PUNCT
ejpam-5461	358	11	(	(	PUNCT
ejpam-5461	358	12	2024	2024	NUM
ejpam-5461	358	13	)	)	PUNCT
ejpam-5461	358	14	,	,	PUNCT
ejpam-5461	358	15	2586	2586	NUM
ejpam-5461	358	16	-	-	SYM
ejpam-5461	358	17	2620	2620	NUM
ejpam-5461	358	18	2602	2602	NUM
ejpam-5461	358	19	substitute	substitute	NOUN
ejpam-5461	358	20	(	(	PUNCT
ejpam-5461	358	21	3.20	3.20	NUM
ejpam-5461	358	22	)	)	PUNCT
ejpam-5461	358	23	,	,	PUNCT
ejpam-5461	358	24	(	(	PUNCT
ejpam-5461	358	25	3.21	3.21	NUM
ejpam-5461	358	26	)	)	PUNCT
ejpam-5461	358	27	and	and	CCONJ
ejpam-5461	358	28	(	(	PUNCT
ejpam-5461	358	29	3.22	3.22	NUM
ejpam-5461	358	30	)	)	PUNCT
ejpam-5461	358	31	in	in	ADP
ejpam-5461	358	32	(	(	PUNCT
ejpam-5461	358	33	3.19	3.19	NUM
ejpam-5461	358	34	)	)	PUNCT
ejpam-5461	358	35	,	,	PUNCT
ejpam-5461	358	36	we	we	PRON
ejpam-5461	358	37	get	get	VERB
ejpam-5461	358	38	nsoi(g	nsoi(g	ADV
ejpam-5461	358	39	)	)	PUNCT
ejpam-5461	358	40	=	=	SYM
ejpam-5461	358	41	∑	∑	PUNCT
ejpam-5461	358	42	α	α	X
ejpam-5461	358	43	,	,	PUNCT
ejpam-5461	358	44	β∈e(g	β∈e(g	PROPN
ejpam-5461	358	45	)	)	PUNCT
ejpam-5461	358	46	(	(	PUNCT
ejpam-5461	358	47	τϖ(α)τdg(α	τϖ(α)τdg(α	NOUN
ejpam-5461	358	48	)	)	PUNCT
ejpam-5461	358	49	+	+	X
ejpam-5461	358	50	τϖ(β)τdg(β	τϖ(β)τdg(β	NOUN
ejpam-5461	358	51	)	)	PUNCT
ejpam-5461	358	52	)	)	PUNCT
ejpam-5461	359	1	+	+	CCONJ
ejpam-5461	359	2	∑	∑	PUNCT
ejpam-5461	359	3	α	α	PROPN
ejpam-5461	359	4	,	,	PUNCT
ejpam-5461	359	5	β∈e(g	β∈e(g	PROPN
ejpam-5461	359	6	)	)	PUNCT
ejpam-5461	359	7	(	(	PUNCT
ejpam-5461	359	8	ıϖ(α)ıdg(α	ıϖ(α)ıdg(α	X
ejpam-5461	359	9	)	)	PUNCT
ejpam-5461	359	10	+	+	CCONJ
ejpam-5461	359	11	ıϖ(β)ıdg(β	ıϖ(β)ıdg(β	NOUN
ejpam-5461	359	12	)	)	PUNCT
ejpam-5461	359	13	)	)	PUNCT
ejpam-5461	360	1	+	+	CCONJ
ejpam-5461	360	2	∑	∑	PUNCT
ejpam-5461	360	3	α	α	PROPN
ejpam-5461	360	4	,	,	PUNCT
ejpam-5461	360	5	β∈e(g	β∈e(g	PROPN
ejpam-5461	360	6	)	)	PUNCT
ejpam-5461	360	7	(	(	PUNCT
ejpam-5461	360	8	𭟋ϖ(α)𭟋dg(α	𭟋ϖ(α)𭟋dg(α	X
ejpam-5461	360	9	)	)	PUNCT
ejpam-5461	360	10	+	+	ADJ
ejpam-5461	360	11	𭟋ϖ(β)𭟋dg(β	𭟋ϖ(β)𭟋dg(β	NOUN
ejpam-5461	360	12	)	)	PUNCT
ejpam-5461	360	13	)	)	PUNCT
ejpam-5461	360	14	nsoi(g	nsoi(g	ADP
ejpam-5461	360	15	)	)	PUNCT
ejpam-5461	360	16	=	=	SYM
ejpam-5461	360	17	nfzi(g	nfzi(g	PROPN
ejpam-5461	360	18	)	)	PUNCT
ejpam-5461	360	19	.	.	PUNCT
ejpam-5461	361	1	example	example	NOUN
ejpam-5461	362	1	2	2	NUM
ejpam-5461	362	2	.	.	PUNCT
ejpam-5461	362	3	let	let	VERB
ejpam-5461	362	4	g	g	PRON
ejpam-5461	362	5	be	be	AUX
ejpam-5461	362	6	a	a	DET
ejpam-5461	362	7	ng	ng	NOUN
ejpam-5461	362	8	with	with	ADP
ejpam-5461	362	9	v(g	v(g	PROPN
ejpam-5461	362	10	)	)	PUNCT
ejpam-5461	362	11	=	=	PRON
ejpam-5461	362	12	{	{	PUNCT
ejpam-5461	362	13	p	p	X
ejpam-5461	362	14	,	,	PUNCT
ejpam-5461	362	15	q	q	ADJ
ejpam-5461	362	16	,	,	PUNCT
ejpam-5461	362	17	r	r	NOUN
ejpam-5461	362	18	,	,	PUNCT
ejpam-5461	362	19	s	s	PROPN
ejpam-5461	362	20	,	,	PUNCT
ejpam-5461	362	21	t	t	PROPN
ejpam-5461	362	22	}	}	PUNCT
ejpam-5461	362	23	such	such	ADJ
ejpam-5461	362	24	that	that	SCONJ
ejpam-5461	362	25	ϖ(p	ϖ(p	VERB
ejpam-5461	362	26	)	)	PUNCT
ejpam-5461	362	27	=	=	SYM
ejpam-5461	362	28	(	(	PUNCT
ejpam-5461	362	29	0.7	0.7	NUM
ejpam-5461	362	30	,	,	PUNCT
ejpam-5461	362	31	0.6	0.6	NUM
ejpam-5461	362	32	,	,	PUNCT
ejpam-5461	362	33	0.4	0.4	NUM
ejpam-5461	362	34	)	)	PUNCT
ejpam-5461	362	35	,	,	PUNCT
ejpam-5461	362	36	ϖ(q	ϖ(q	NOUN
ejpam-5461	362	37	)	)	PUNCT
ejpam-5461	363	1	=	=	SYM
ejpam-5461	363	2	(	(	PUNCT
ejpam-5461	363	3	0.6	0.6	NUM
ejpam-5461	363	4	,	,	PUNCT
ejpam-5461	363	5	0.5	0.5	NUM
ejpam-5461	363	6	,	,	PUNCT
ejpam-5461	363	7	0.4	0.4	NUM
ejpam-5461	363	8	)	)	PUNCT
ejpam-5461	363	9	,	,	PUNCT
ejpam-5461	363	10	ϖ(s	ϖ(	NOUN
ejpam-5461	363	11	)	)	PUNCT
ejpam-5461	363	12	=	=	SYM
ejpam-5461	363	13	(	(	PUNCT
ejpam-5461	363	14	0.5	0.5	NUM
ejpam-5461	363	15	,	,	PUNCT
ejpam-5461	363	16	0.4	0.4	NUM
ejpam-5461	363	17	,	,	PUNCT
ejpam-5461	363	18	0.3	0.3	NUM
ejpam-5461	363	19	)	)	PUNCT
ejpam-5461	363	20	,	,	PUNCT
ejpam-5461	363	21	ϖ(r	ϖ(r	NOUN
ejpam-5461	363	22	)	)	PUNCT
ejpam-5461	363	23	=	=	PUNCT
ejpam-5461	363	24	(	(	PUNCT
ejpam-5461	363	25	0.5	0.5	NUM
ejpam-5461	363	26	,	,	PUNCT
ejpam-5461	363	27	0.4	0.4	NUM
ejpam-5461	363	28	,	,	PUNCT
ejpam-5461	363	29	0.3	0.3	NUM
ejpam-5461	363	30	)	)	PUNCT
ejpam-5461	363	31	,	,	PUNCT
ejpam-5461	363	32	ϖ(t	ϖ(t	PROPN
ejpam-5461	363	33	)	)	PUNCT
ejpam-5461	363	34	=	=	PUNCT
ejpam-5461	363	35	(	(	PUNCT
ejpam-5461	363	36	0.8	0.8	NUM
ejpam-5461	363	37	,	,	PUNCT
ejpam-5461	363	38	0.7	0.7	NUM
ejpam-5461	363	39	,	,	PUNCT
ejpam-5461	363	40	0.4	0.4	NUM
ejpam-5461	363	41	)	)	PUNCT
ejpam-5461	363	42	and	and	CCONJ
ejpam-5461	363	43	ϖ(pq	ϖ(pq	NOUN
ejpam-5461	363	44	)	)	PUNCT
ejpam-5461	363	45	=	=	SYM
ejpam-5461	363	46	(	(	PUNCT
ejpam-5461	363	47	0.6	0.6	NUM
ejpam-5461	363	48	,	,	PUNCT
ejpam-5461	363	49	0.4	0.4	NUM
ejpam-5461	363	50	,	,	PUNCT
ejpam-5461	363	51	0.5	0.5	NUM
ejpam-5461	363	52	)	)	PUNCT
ejpam-5461	363	53	,	,	PUNCT
ejpam-5461	363	54	ϖ(qr	ϖ(qr	PROPN
ejpam-5461	363	55	)	)	PUNCT
ejpam-5461	363	56	=	=	PUNCT
ejpam-5461	363	57	(	(	PUNCT
ejpam-5461	363	58	0.4	0.4	NUM
ejpam-5461	363	59	,	,	PUNCT
ejpam-5461	363	60	0.4	0.4	NUM
ejpam-5461	363	61	,	,	PUNCT
ejpam-5461	363	62	0.5	0.5	NUM
ejpam-5461	363	63	)	)	PUNCT
ejpam-5461	363	64	,	,	PUNCT
ejpam-5461	363	65	ϖ(rs	ϖ(rs	NOUN
ejpam-5461	363	66	)	)	PUNCT
ejpam-5461	363	67	=	=	SYM
ejpam-5461	363	68	(	(	PUNCT
ejpam-5461	363	69	0.4	0.4	NUM
ejpam-5461	363	70	,	,	PUNCT
ejpam-5461	363	71	0.3	0.3	NUM
ejpam-5461	363	72	,	,	PUNCT
ejpam-5461	363	73	0.5	0.5	NUM
ejpam-5461	363	74	)	)	PUNCT
ejpam-5461	363	75	,	,	PUNCT
ejpam-5461	363	76	ϖ(st	ϖ(st	NOUN
ejpam-5461	363	77	)	)	PUNCT
ejpam-5461	363	78	=	=	SYM
ejpam-5461	363	79	(	(	PUNCT
ejpam-5461	363	80	0.5	0.5	NUM
ejpam-5461	363	81	,	,	PUNCT
ejpam-5461	363	82	0.4	0.4	NUM
ejpam-5461	363	83	,	,	PUNCT
ejpam-5461	363	84	0.5	0.5	NUM
ejpam-5461	363	85	)	)	PUNCT
ejpam-5461	363	86	,	,	PUNCT
ejpam-5461	363	87	ϖ(tq	ϖ(tq	X
ejpam-5461	363	88	)	)	PUNCT
ejpam-5461	363	89	=	=	PUNCT
ejpam-5461	363	90	(	(	PUNCT
ejpam-5461	363	91	0.6	0.6	NUM
ejpam-5461	363	92	,	,	PUNCT
ejpam-5461	363	93	0.5	0.5	NUM
ejpam-5461	363	94	,	,	PUNCT
ejpam-5461	363	95	0.5	0.5	NUM
ejpam-5461	363	96	)	)	PUNCT
ejpam-5461	363	97	.	.	PUNCT
ejpam-5461	364	1	dg(p	dg(p	X
ejpam-5461	364	2	)	)	PUNCT
ejpam-5461	365	1	=	=	SYM
ejpam-5461	365	2	(	(	PUNCT
ejpam-5461	365	3	0.6	0.6	NUM
ejpam-5461	365	4	,	,	PUNCT
ejpam-5461	365	5	0.4	0.4	NUM
ejpam-5461	365	6	,	,	PUNCT
ejpam-5461	365	7	0.5	0.5	NUM
ejpam-5461	365	8	)	)	PUNCT
ejpam-5461	365	9	,	,	PUNCT
ejpam-5461	365	10	dg(q	dg(q	NUM
ejpam-5461	365	11	)	)	PUNCT
ejpam-5461	365	12	=	=	SYM
ejpam-5461	365	13	(	(	PUNCT
ejpam-5461	365	14	1	1	NUM
ejpam-5461	365	15	,	,	PUNCT
ejpam-5461	365	16	0.9	0.9	NUM
ejpam-5461	365	17	,	,	PUNCT
ejpam-5461	365	18	1	1	NUM
ejpam-5461	365	19	)	)	PUNCT
ejpam-5461	365	20	,	,	PUNCT
ejpam-5461	365	21	dg(r	dg(r	PUNCT
ejpam-5461	365	22	)	)	PUNCT
ejpam-5461	365	23	=	=	NOUN
ejpam-5461	365	24	(	(	PUNCT
ejpam-5461	365	25	0.8	0.8	NUM
ejpam-5461	365	26	,	,	PUNCT
ejpam-5461	365	27	0.7	0.7	NUM
ejpam-5461	365	28	,	,	PUNCT
ejpam-5461	365	29	1	1	NUM
ejpam-5461	365	30	)	)	PUNCT
ejpam-5461	365	31	,	,	PUNCT
ejpam-5461	365	32	dg(s	dg(s	NOUN
ejpam-5461	365	33	)	)	PUNCT
ejpam-5461	365	34	=	=	SYM
ejpam-5461	365	35	(	(	PUNCT
ejpam-5461	365	36	0.9	0.9	NUM
ejpam-5461	365	37	,	,	PUNCT
ejpam-5461	365	38	0.7	0.7	NUM
ejpam-5461	365	39	,	,	PUNCT
ejpam-5461	365	40	0.5	0.5	NUM
ejpam-5461	365	41	)	)	PUNCT
ejpam-5461	365	42	,	,	PUNCT
ejpam-5461	365	43	figure	figure	VERB
ejpam-5461	365	44	2	2	NUM
ejpam-5461	365	45	:	:	PUNCT
ejpam-5461	365	46	neutrosophic	neutrosophic	ADJ
ejpam-5461	365	47	graph	graph	NOUN
ejpam-5461	365	48	dg(t	dg(t	NOUN
ejpam-5461	365	49	)	)	PUNCT
ejpam-5461	365	50	=	=	PUNCT
ejpam-5461	365	51	(	(	PUNCT
ejpam-5461	365	52	1.1	1.1	NUM
ejpam-5461	365	53	,	,	PUNCT
ejpam-5461	365	54	0.9	0.9	NUM
ejpam-5461	365	55	,	,	PUNCT
ejpam-5461	365	56	1	1	NUM
ejpam-5461	365	57	)	)	PUNCT
ejpam-5461	365	58	.	.	PUNCT
ejpam-5461	366	1	nsoi(g	nsoi(g	X
ejpam-5461	366	2	)	)	PUNCT
ejpam-5461	367	1	=	=	SYM
ejpam-5461	367	2	tsoi(g	tsoi(g	PROPN
ejpam-5461	367	3	)	)	PUNCT
ejpam-5461	368	1	+	+	NUM
ejpam-5461	368	2	isoi(g	isoi(g	X
ejpam-5461	368	3	)	)	PUNCT
ejpam-5461	369	1	+	+	NUM
ejpam-5461	369	2	fsoi(g	fsoi(g	X
ejpam-5461	369	3	)	)	PUNCT
ejpam-5461	369	4	(	(	PUNCT
ejpam-5461	369	5	3.23	3.23	NUM
ejpam-5461	369	6	)	)	PUNCT
ejpam-5461	369	7	tsoi(g	tsoi(g	PROPN
ejpam-5461	369	8	)	)	PUNCT
ejpam-5461	369	9	=	=	SYM
ejpam-5461	369	10	∑	∑	PUNCT
ejpam-5461	369	11	α	α	X
ejpam-5461	369	12	,	,	PUNCT
ejpam-5461	369	13	β∈e(g	β∈e(g	PROPN
ejpam-5461	369	14	)	)	PUNCT
ejpam-5461	369	15	√	√	PROPN
ejpam-5461	369	16	(	(	PUNCT
ejpam-5461	369	17	τϖ(α)τdg(α))2	τϖ(α)τdg(α))2	X
ejpam-5461	369	18	+	+	CCONJ
ejpam-5461	369	19	(	(	PUNCT
ejpam-5461	369	20	τϖ(β)τdg(β))2	τϖ(β)τdg(β))2	SYM
ejpam-5461	369	21	=	=	SYM
ejpam-5461	369	22	√	√	PROPN
ejpam-5461	369	23	(	(	PUNCT
ejpam-5461	369	24	τϖ(p)τdg(p))2	τϖ(p)τdg(p))2	X
ejpam-5461	369	25	+	+	CCONJ
ejpam-5461	369	26	(	(	PUNCT
ejpam-5461	369	27	τϖ(q)τdg(q))2	τϖ(q)τdg(q))2	PROPN
ejpam-5461	369	28	+	+	CCONJ
ejpam-5461	369	29	√	√	INTJ
ejpam-5461	369	30	(	(	PUNCT
ejpam-5461	369	31	τϖ(q)τdg(q))2	τϖ(q)τdg(q))2	PROPN
ejpam-5461	369	32	+	+	CCONJ
ejpam-5461	369	33	(	(	PUNCT
ejpam-5461	369	34	τϖ(r)τdg(r))2	τϖ(r)τdg(r))2	VERB
ejpam-5461	369	35	+	+	CCONJ
ejpam-5461	369	36	√	√	INTJ
ejpam-5461	369	37	(	(	PUNCT
ejpam-5461	369	38	τϖ(r)τdg(r))2	τϖ(r)τdg(r))2	X
ejpam-5461	369	39	+	+	CCONJ
ejpam-5461	369	40	(	(	PUNCT
ejpam-5461	369	41	τϖ(s)τdg(s))2	τϖ(s)τdg(s))2	NOUN
ejpam-5461	369	42	+	+	ADJ
ejpam-5461	369	43	√	√	INTJ
ejpam-5461	369	44	(	(	PUNCT
ejpam-5461	369	45	τϖ(s)τdg(s))2	τϖ(s)τdg(s))2	NOUN
ejpam-5461	369	46	+	+	PUNCT
ejpam-5461	369	47	(	(	PUNCT
ejpam-5461	369	48	τϖ(t)τdg(t))2	τϖ(t)τdg(t))2	PUNCT
ejpam-5461	369	49	+	+	NOUN
ejpam-5461	369	50	√	√	INTJ
ejpam-5461	369	51	(	(	PUNCT
ejpam-5461	369	52	τϖ(t)τdg(t))2	τϖ(t)τdg(t))2	PUNCT
ejpam-5461	369	53	+	+	CCONJ
ejpam-5461	369	54	(	(	PUNCT
ejpam-5461	369	55	τϖ(q)τdg(q))2	τϖ(q)τdg(q))2	PROPN
ejpam-5461	369	56	m.	m.	NOUN
ejpam-5461	369	57	alqahtani	alqahtani	PROPN
ejpam-5461	369	58	,	,	PUNCT
ejpam-5461	369	59	m.	m.	NOUN
ejpam-5461	369	60	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	369	61	,	,	PUNCT
ejpam-5461	369	62	m.	m.	NOUN
ejpam-5461	369	63	rajeshwari	rajeshwari	PROPN
ejpam-5461	369	64	/	/	SYM
ejpam-5461	369	65	eur	eur	PROPN
ejpam-5461	369	66	.	.	PUNCT
ejpam-5461	370	1	j.	j.	PROPN
ejpam-5461	370	2	pure	pure	PROPN
ejpam-5461	370	3	appl	appl	PROPN
ejpam-5461	370	4	.	.	PROPN
ejpam-5461	370	5	math	math	PROPN
ejpam-5461	370	6	,	,	PUNCT
ejpam-5461	370	7	17	17	NUM
ejpam-5461	370	8	(	(	PUNCT
ejpam-5461	370	9	4	4	NUM
ejpam-5461	370	10	)	)	PUNCT
ejpam-5461	370	11	(	(	PUNCT
ejpam-5461	370	12	2024	2024	NUM
ejpam-5461	370	13	)	)	PUNCT
ejpam-5461	370	14	,	,	PUNCT
ejpam-5461	370	15	2586	2586	NUM
ejpam-5461	370	16	-	-	SYM
ejpam-5461	370	17	2620	2620	NUM
ejpam-5461	370	18	2603	2603	NUM
ejpam-5461	370	19	tsoi(g	tsoi(g	PROPN
ejpam-5461	370	20	)	)	PUNCT
ejpam-5461	370	21	=	=	SYM
ejpam-5461	371	1	√	√	PROPN
ejpam-5461	371	2	(	(	PUNCT
ejpam-5461	371	3	(	(	PUNCT
ejpam-5461	371	4	0.7)(0.6))2	0.7)(0.6))2	NOUN
ejpam-5461	371	5	+	+	CCONJ
ejpam-5461	371	6	(	(	PUNCT
ejpam-5461	371	7	(	(	PUNCT
ejpam-5461	371	8	0.6)(1))2	0.6)(1))2	NUM
ejpam-5461	371	9	+	+	CCONJ
ejpam-5461	371	10	√	√	INTJ
ejpam-5461	371	11	(	(	PUNCT
ejpam-5461	371	12	(	(	PUNCT
ejpam-5461	371	13	0.6)(1))2	0.6)(1))2	NUM
ejpam-5461	371	14	+	+	CCONJ
ejpam-5461	371	15	(	(	PUNCT
ejpam-5461	371	16	(	(	PUNCT
ejpam-5461	371	17	0.5)(0.8))2	0.5)(0.8))2	NOUN
ejpam-5461	371	18	+	+	CCONJ
ejpam-5461	371	19	√	√	INTJ
ejpam-5461	371	20	(	(	PUNCT
ejpam-5461	371	21	(	(	PUNCT
ejpam-5461	371	22	0.5)(0.8))2	0.5)(0.8))2	NOUN
ejpam-5461	371	23	+	+	CCONJ
ejpam-5461	371	24	(	(	PUNCT
ejpam-5461	371	25	(	(	PUNCT
ejpam-5461	371	26	0.5)(0.9))2	0.5)(0.9))2	NUM
ejpam-5461	371	27	+	+	CCONJ
ejpam-5461	371	28	√	√	NUM
ejpam-5461	371	29	(	(	PUNCT
ejpam-5461	371	30	(	(	PUNCT
ejpam-5461	371	31	0.5)(0.9))2	0.5)(0.9))2	NUM
ejpam-5461	371	32	+	+	CCONJ
ejpam-5461	371	33	(	(	PUNCT
ejpam-5461	371	34	(	(	PUNCT
ejpam-5461	371	35	0.8)(1.1))2	0.8)(1.1))2	NOUN
ejpam-5461	371	36	+	+	CCONJ
ejpam-5461	371	37	√	√	INTJ
ejpam-5461	371	38	(	(	PUNCT
ejpam-5461	371	39	(	(	PUNCT
ejpam-5461	371	40	0.8)(1.1))2	0.8)(1.1))2	NOUN
ejpam-5461	371	41	+	+	CCONJ
ejpam-5461	371	42	(	(	PUNCT
ejpam-5461	371	43	(	(	PUNCT
ejpam-5461	371	44	0.6)(1))2	0.6)(1))2	NUM
ejpam-5461	371	45	tsoi(g	tsoi(g	PROPN
ejpam-5461	371	46	)	)	PUNCT
ejpam-5461	371	47	=	=	SYM
ejpam-5461	372	1	4.6069	4.6069	NUM
ejpam-5461	372	2	(	(	PUNCT
ejpam-5461	372	3	3.24	3.24	NUM
ejpam-5461	372	4	)	)	PUNCT
ejpam-5461	372	5	isoi(g	isoi(g	PROPN
ejpam-5461	372	6	)	)	PUNCT
ejpam-5461	372	7	=	=	PUNCT
ejpam-5461	372	8	∑	∑	PUNCT
ejpam-5461	372	9	α	α	X
ejpam-5461	372	10	,	,	PUNCT
ejpam-5461	372	11	β∈e(g	β∈e(g	PROPN
ejpam-5461	372	12	)	)	PUNCT
ejpam-5461	372	13	√	√	PROPN
ejpam-5461	373	1	(	(	PUNCT
ejpam-5461	373	2	ıϖ(α)ıdg(α))2	ıϖ(α)ıdg(α))2	X
ejpam-5461	373	3	+	+	CCONJ
ejpam-5461	373	4	(	(	PUNCT
ejpam-5461	373	5	ıϖ(β)ıdg(β))2	ıϖ(β)ıdg(β))2	NOUN
ejpam-5461	373	6	=	=	PUNCT
ejpam-5461	373	7	√	√	PROPN
ejpam-5461	373	8	(	(	PUNCT
ejpam-5461	373	9	ıϖ(p)ıdg(p))2	ıϖ(p)ıdg(p))2	PROPN
ejpam-5461	373	10	+	+	CCONJ
ejpam-5461	373	11	(	(	PUNCT
ejpam-5461	373	12	ıϖ(q)ıdg(q))2	ıϖ(q)ıdg(q))2	X
ejpam-5461	373	13	+	+	CCONJ
ejpam-5461	373	14	√	√	PROPN
ejpam-5461	373	15	(	(	PUNCT
ejpam-5461	373	16	ıϖ(q)ıdg(q))2	ıϖ(q)ıdg(q))2	X
ejpam-5461	373	17	+	+	CCONJ
ejpam-5461	373	18	(	(	PUNCT
ejpam-5461	373	19	ıϖ(r)ıdg(r))2	ıϖ(r)ıdg(r))2	X
ejpam-5461	373	20	+	+	NOUN
ejpam-5461	373	21	√	√	INTJ
ejpam-5461	373	22	(	(	PUNCT
ejpam-5461	373	23	ıϖ(r)ıdg(r))2	ıϖ(r)ıdg(r))2	X
ejpam-5461	373	24	+	+	CCONJ
ejpam-5461	373	25	(	(	PUNCT
ejpam-5461	373	26	ıϖ(s)ıdg(s))2	ıϖ(s)ıdg(s))2	NOUN
ejpam-5461	373	27	+	+	CCONJ
ejpam-5461	373	28	√	√	PROPN
ejpam-5461	373	29	(	(	PUNCT
ejpam-5461	373	30	ıϖ(s)ıdg(s))2	ıϖ(s)ıdg(s))2	PROPN
ejpam-5461	373	31	+	+	CCONJ
ejpam-5461	373	32	(	(	PUNCT
ejpam-5461	373	33	ıϖ(t)ıdg(t))2	ıϖ(t)ıdg(t))2	NOUN
ejpam-5461	373	34	+	+	CCONJ
ejpam-5461	373	35	√	√	PROPN
ejpam-5461	373	36	(	(	PUNCT
ejpam-5461	373	37	ıϖ(t)ıdg(t))2	ıϖ(t)ıdg(t))2	NOUN
ejpam-5461	373	38	+	+	CCONJ
ejpam-5461	373	39	(	(	PUNCT
ejpam-5461	373	40	ıϖ(q)ıdg(q))2	ıϖ(q)ıdg(q))2	PROPN
ejpam-5461	373	41	isoi(g	isoi(g	PROPN
ejpam-5461	373	42	)	)	PUNCT
ejpam-5461	373	43	=	=	SYM
ejpam-5461	374	1	√	√	NUM
ejpam-5461	374	2	(	(	PUNCT
ejpam-5461	374	3	(	(	PUNCT
ejpam-5461	374	4	0.6)(0.4))2	0.6)(0.4))2	X
ejpam-5461	374	5	+	+	CCONJ
ejpam-5461	374	6	(	(	PUNCT
ejpam-5461	374	7	(	(	PUNCT
ejpam-5461	374	8	0.5)(0.6))2	0.5)(0.6))2	NUM
ejpam-5461	374	9	+	+	CCONJ
ejpam-5461	374	10	√	√	INTJ
ejpam-5461	374	11	(	(	PUNCT
ejpam-5461	374	12	(	(	PUNCT
ejpam-5461	374	13	0.5)(0.7))2	0.5)(0.7))2	NOUN
ejpam-5461	374	14	+	+	CCONJ
ejpam-5461	374	15	(	(	PUNCT
ejpam-5461	374	16	(	(	PUNCT
ejpam-5461	374	17	0.4)(0.8))0.7	0.4)(0.8))0.7	NUM
ejpam-5461	374	18	+	+	CCONJ
ejpam-5461	374	19	√	√	PROPN
ejpam-5461	374	20	(	(	PUNCT
ejpam-5461	374	21	(	(	PUNCT
ejpam-5461	374	22	0.4)(0.7))2	0.4)(0.7))2	NUM
ejpam-5461	374	23	+	+	CCONJ
ejpam-5461	374	24	(	(	PUNCT
ejpam-5461	374	25	(	(	PUNCT
ejpam-5461	374	26	0.4)(0.7))2	0.4)(0.7))2	NUM
ejpam-5461	374	27	+	+	CCONJ
ejpam-5461	374	28	√	√	VERB
ejpam-5461	374	29	(	(	PUNCT
ejpam-5461	374	30	(	(	PUNCT
ejpam-5461	374	31	0.4)(0.7))2	0.4)(0.7))2	NUM
ejpam-5461	374	32	+	+	CCONJ
ejpam-5461	374	33	(	(	PUNCT
ejpam-5461	374	34	(	(	PUNCT
ejpam-5461	374	35	0.7)(0.9))2	0.7)(0.9))2	NUM
ejpam-5461	374	36	+	+	CCONJ
ejpam-5461	374	37	√	√	NUM
ejpam-5461	374	38	(	(	PUNCT
ejpam-5461	374	39	(	(	PUNCT
ejpam-5461	374	40	0.7)(0.9))2	0.7)(0.9))2	NUM
ejpam-5461	374	41	+	+	CCONJ
ejpam-5461	374	42	(	(	PUNCT
ejpam-5461	374	43	(	(	PUNCT
ejpam-5461	374	44	0.5)(0.9))2	0.5)(0.9))2	NUM
ejpam-5461	374	45	isoi(g	isoi(g	NOUN
ejpam-5461	374	46	)	)	PUNCT
ejpam-5461	374	47	=	=	PUNCT
ejpam-5461	375	1	2.7387	2.7387	NUM
ejpam-5461	375	2	(	(	PUNCT
ejpam-5461	375	3	3.25	3.25	NUM
ejpam-5461	375	4	)	)	PUNCT
ejpam-5461	375	5	and	and	CCONJ
ejpam-5461	375	6	fsoi(g	fsoi(g	NUM
ejpam-5461	375	7	)	)	PUNCT
ejpam-5461	376	1	=	=	PUNCT
ejpam-5461	376	2	∑	∑	PUNCT
ejpam-5461	376	3	α	α	X
ejpam-5461	376	4	,	,	PUNCT
ejpam-5461	376	5	β∈e(g	β∈e(g	PROPN
ejpam-5461	376	6	)	)	PUNCT
ejpam-5461	377	1	√	√	PROPN
ejpam-5461	377	2	(	(	PUNCT
ejpam-5461	377	3	𭟋ϖ(α)𭟋dg(α))2	𭟋ϖ(α)𭟋dg(α))2	X
ejpam-5461	377	4	+	+	CCONJ
ejpam-5461	377	5	(	(	PUNCT
ejpam-5461	377	6	𭟋ϖ(β)𭟋dg(β))2	𭟋ϖ(β)𭟋dg(β))2	NOUN
ejpam-5461	377	7	=	=	PUNCT
ejpam-5461	377	8	√	√	PROPN
ejpam-5461	377	9	(	(	PUNCT
ejpam-5461	377	10	𭟋ϖ(p)𭟋dg(p))2	𭟋ϖ(p)𭟋dg(p))2	NOUN
ejpam-5461	377	11	+	+	CCONJ
ejpam-5461	377	12	(	(	PUNCT
ejpam-5461	377	13	𭟋ϖ(q)𭟋dg(q))2	𭟋ϖ(q)𭟋dg(q))2	PROPN
ejpam-5461	377	14	+	+	CCONJ
ejpam-5461	377	15	√	√	PROPN
ejpam-5461	377	16	(	(	PUNCT
ejpam-5461	377	17	𭟋ϖ(q)𭟋dg(q))2	𭟋ϖ(q)𭟋dg(q))2	PROPN
ejpam-5461	377	18	+	+	CCONJ
ejpam-5461	377	19	(	(	PUNCT
ejpam-5461	377	20	𭟋ϖ(r)𭟋dg(r))2	𭟋ϖ(r)𭟋dg(r))2	NOUN
ejpam-5461	377	21	+	+	CCONJ
ejpam-5461	377	22	√	√	PROPN
ejpam-5461	377	23	(	(	PUNCT
ejpam-5461	377	24	𭟋ϖ(r)𭟋dg(r))2	𭟋ϖ(r)𭟋dg(r))2	NOUN
ejpam-5461	377	25	+	+	CCONJ
ejpam-5461	377	26	(	(	PUNCT
ejpam-5461	377	27	𭟋ϖ(s)𭟋dg(s))2	𭟋ϖ(s)𭟋dg(s))2	NOUN
ejpam-5461	377	28	+	+	CCONJ
ejpam-5461	377	29	√	√	PROPN
ejpam-5461	377	30	(	(	PUNCT
ejpam-5461	377	31	𭟋ϖ(s)𭟋dg(s))2	𭟋ϖ(s)𭟋dg(s))2	NOUN
ejpam-5461	377	32	+	+	CCONJ
ejpam-5461	377	33	(	(	PUNCT
ejpam-5461	377	34	𭟋ϖ(t)𭟋dg(t))2	𭟋ϖ(t)𭟋dg(t))2	NOUN
ejpam-5461	377	35	+	+	CCONJ
ejpam-5461	377	36	√	√	INTJ
ejpam-5461	377	37	(	(	PUNCT
ejpam-5461	377	38	𭟋ϖ(t)𭟋dg(t))2	𭟋ϖ(t)𭟋dg(t))2	PROPN
ejpam-5461	377	39	+	+	CCONJ
ejpam-5461	377	40	(	(	PUNCT
ejpam-5461	377	41	𭟋ϖ(q)𭟋dg(q))2	𭟋ϖ(q)𭟋dg(q))2	PROPN
ejpam-5461	377	42	fsoi(g	fsoi(g	PROPN
ejpam-5461	377	43	)	)	PUNCT
ejpam-5461	378	1	=	=	SYM
ejpam-5461	379	1	√	√	NUM
ejpam-5461	379	2	(	(	PUNCT
ejpam-5461	379	3	(	(	PUNCT
ejpam-5461	379	4	0.4)(0.5))2	0.4)(0.5))2	NUM
ejpam-5461	379	5	+	+	CCONJ
ejpam-5461	379	6	(	(	PUNCT
ejpam-5461	379	7	(	(	PUNCT
ejpam-5461	379	8	0.4)(1))2	0.4)(1))2	NUM
ejpam-5461	379	9	+	+	CCONJ
ejpam-5461	379	10	√	√	PROPN
ejpam-5461	379	11	(	(	PUNCT
ejpam-5461	379	12	(	(	PUNCT
ejpam-5461	379	13	0.4)(1))2	0.4)(1))2	NOUN
ejpam-5461	379	14	+	+	CCONJ
ejpam-5461	379	15	(	(	PUNCT
ejpam-5461	379	16	(	(	PUNCT
ejpam-5461	379	17	0.3)(1))0.7	0.3)(1))0.7	NOUN
ejpam-5461	379	18	+	+	CCONJ
ejpam-5461	379	19	√	√	INTJ
ejpam-5461	379	20	(	(	PUNCT
ejpam-5461	379	21	(	(	PUNCT
ejpam-5461	379	22	0.3)(1))2	0.3)(1))2	NOUN
ejpam-5461	379	23	+	+	CCONJ
ejpam-5461	379	24	(	(	PUNCT
ejpam-5461	379	25	(	(	PUNCT
ejpam-5461	379	26	0.3)(0.5))2	0.3)(0.5))2	NUM
ejpam-5461	379	27	+	+	CCONJ
ejpam-5461	379	28	√	√	INTJ
ejpam-5461	379	29	(	(	PUNCT
ejpam-5461	379	30	(	(	PUNCT
ejpam-5461	379	31	0.3)(0.5))2	0.3)(0.5))2	NUM
ejpam-5461	379	32	+	+	CCONJ
ejpam-5461	379	33	(	(	PUNCT
ejpam-5461	379	34	(	(	PUNCT
ejpam-5461	379	35	0.4)(0.1))2	0.4)(0.1))2	NOUN
ejpam-5461	379	36	+	+	CCONJ
ejpam-5461	379	37	√	√	INTJ
ejpam-5461	379	38	(	(	PUNCT
ejpam-5461	379	39	(	(	PUNCT
ejpam-5461	379	40	0.4)(1))2	0.4)(1))2	NOUN
ejpam-5461	379	41	+	+	CCONJ
ejpam-5461	379	42	(	(	PUNCT
ejpam-5461	379	43	(	(	PUNCT
ejpam-5461	379	44	0.4)(1))2	0.4)(1))2	NUM
ejpam-5461	379	45	fsoi(g	fsoi(g	NOUN
ejpam-5461	379	46	)	)	PUNCT
ejpam-5461	380	1	=	=	PUNCT
ejpam-5461	380	2	2.7387	2.7387	NUM
ejpam-5461	380	3	(	(	PUNCT
ejpam-5461	380	4	3.26	3.26	NUM
ejpam-5461	380	5	)	)	PUNCT
ejpam-5461	380	6	substitute	substitute	NOUN
ejpam-5461	380	7	(	(	PUNCT
ejpam-5461	380	8	3.24	3.24	NUM
ejpam-5461	380	9	)	)	PUNCT
ejpam-5461	380	10	,	,	PUNCT
ejpam-5461	380	11	(	(	PUNCT
ejpam-5461	380	12	3.25	3.25	NUM
ejpam-5461	380	13	)	)	PUNCT
ejpam-5461	380	14	and	and	CCONJ
ejpam-5461	380	15	(	(	PUNCT
ejpam-5461	380	16	3.26	3.26	NUM
ejpam-5461	380	17	)	)	PUNCT
ejpam-5461	380	18	in	in	ADP
ejpam-5461	380	19	(	(	PUNCT
ejpam-5461	380	20	3.23	3.23	NUM
ejpam-5461	380	21	)	)	PUNCT
ejpam-5461	380	22	,	,	PUNCT
ejpam-5461	380	23	we	we	PRON
ejpam-5461	380	24	get	get	VERB
ejpam-5461	380	25	nsoi(g	nsoi(g	ADV
ejpam-5461	380	26	)	)	PUNCT
ejpam-5461	381	1	=	=	PUNCT
ejpam-5461	381	2	4.6069	4.6069	NUM
ejpam-5461	382	1	+	+	NUM
ejpam-5461	382	2	2.7387	2.7387	NUM
ejpam-5461	382	3	+	+	CCONJ
ejpam-5461	382	4	2.7387	2.7387	NUM
ejpam-5461	382	5	nsoi(g	nsoi(g	NOUN
ejpam-5461	382	6	)	)	PUNCT
ejpam-5461	383	1	=	=	SYM
ejpam-5461	383	2	9.2297	9.2297	NUM
ejpam-5461	383	3	.	.	PUNCT
ejpam-5461	384	1	now	now	ADV
ejpam-5461	384	2	consider	consider	VERB
ejpam-5461	384	3	the	the	DET
ejpam-5461	384	4	first	first	ADJ
ejpam-5461	384	5	zagreb	zagreb	PROPN
ejpam-5461	384	6	index	index	NOUN
ejpam-5461	384	7	of	of	ADP
ejpam-5461	384	8	neutrosophic	neutrosophic	ADJ
ejpam-5461	384	9	graphs	graph	NOUN
ejpam-5461	384	10	.	.	PUNCT
ejpam-5461	385	1	nfzi(g	nfzi(g	VERB
ejpam-5461	385	2	)	)	PUNCT
ejpam-5461	386	1	=	=	SYM
ejpam-5461	386	2	tfzi(g	tfzi(g	NOUN
ejpam-5461	386	3	)	)	PUNCT
ejpam-5461	387	1	+	+	CCONJ
ejpam-5461	387	2	ifzi(g	ifzi(g	PROPN
ejpam-5461	387	3	)	)	PUNCT
ejpam-5461	388	1	+	+	NUM
ejpam-5461	388	2	ffzi(g	ffzi(g	NOUN
ejpam-5461	388	3	)	)	PUNCT
ejpam-5461	388	4	(	(	PUNCT
ejpam-5461	388	5	3.27	3.27	NUM
ejpam-5461	388	6	)	)	PUNCT
ejpam-5461	388	7	tfzi(g	tfzi(g	NOUN
ejpam-5461	388	8	)	)	PUNCT
ejpam-5461	388	9	=	=	PUNCT
ejpam-5461	388	10	∑	∑	PUNCT
ejpam-5461	388	11	α	α	X
ejpam-5461	388	12	,	,	PUNCT
ejpam-5461	388	13	β∈e(g	β∈e(g	NUM
ejpam-5461	388	14	)	)	PUNCT
ejpam-5461	389	1	[	[	X
ejpam-5461	389	2	τϖ(α)τdg(α	τϖ(α)τdg(α	NOUN
ejpam-5461	389	3	)	)	PUNCT
ejpam-5461	389	4	+	+	X
ejpam-5461	389	5	τϖ(β)τdg(β	τϖ(β)τdg(β	NOUN
ejpam-5461	389	6	)	)	PUNCT
ejpam-5461	389	7	]	]	PUNCT
ejpam-5461	390	1	=	=	PUNCT
ejpam-5461	390	2	(	(	PUNCT
ejpam-5461	390	3	τϖ(p)τdg(p	τϖ(p)τdg(p	NOUN
ejpam-5461	390	4	)	)	PUNCT
ejpam-5461	390	5	+	+	CCONJ
ejpam-5461	390	6	τϖ(q)τdg(q	τϖ(q)τdg(q	NOUN
ejpam-5461	390	7	)	)	PUNCT
ejpam-5461	390	8	)	)	PUNCT
ejpam-5461	391	1	+	+	CCONJ
ejpam-5461	391	2	(	(	PUNCT
ejpam-5461	391	3	τϖ(q)τdg(q	τϖ(q)τdg(q	X
ejpam-5461	391	4	)	)	PUNCT
ejpam-5461	391	5	+	+	NUM
ejpam-5461	391	6	τϖ(r)τdg(r	τϖ(r)τdg(r	NOUN
ejpam-5461	391	7	)	)	PUNCT
ejpam-5461	391	8	)	)	PUNCT
ejpam-5461	392	1	+	+	CCONJ
ejpam-5461	392	2	(	(	PUNCT
ejpam-5461	392	3	τϖ(r)τdg(r	τϖ(r)τdg(r	NOUN
ejpam-5461	392	4	)	)	PUNCT
ejpam-5461	392	5	m.	m.	NOUN
ejpam-5461	392	6	alqahtani	alqahtani	PROPN
ejpam-5461	392	7	,	,	PUNCT
ejpam-5461	392	8	m.	m.	NOUN
ejpam-5461	392	9	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	392	10	,	,	PUNCT
ejpam-5461	392	11	m.	m.	NOUN
ejpam-5461	392	12	rajeshwari	rajeshwari	PROPN
ejpam-5461	392	13	/	/	SYM
ejpam-5461	392	14	eur	eur	PROPN
ejpam-5461	392	15	.	.	PUNCT
ejpam-5461	393	1	j.	j.	PROPN
ejpam-5461	393	2	pure	pure	PROPN
ejpam-5461	393	3	appl	appl	PROPN
ejpam-5461	393	4	.	.	PROPN
ejpam-5461	393	5	math	math	PROPN
ejpam-5461	393	6	,	,	PUNCT
ejpam-5461	393	7	17	17	NUM
ejpam-5461	393	8	(	(	PUNCT
ejpam-5461	393	9	4	4	NUM
ejpam-5461	393	10	)	)	PUNCT
ejpam-5461	393	11	(	(	PUNCT
ejpam-5461	393	12	2024	2024	NUM
ejpam-5461	393	13	)	)	PUNCT
ejpam-5461	393	14	,	,	PUNCT
ejpam-5461	393	15	2586	2586	NUM
ejpam-5461	393	16	-	-	SYM
ejpam-5461	393	17	2620	2620	NUM
ejpam-5461	393	18	2604	2604	NUM
ejpam-5461	393	19	+	+	CCONJ
ejpam-5461	393	20	τϖ(s)τdg(s	τϖ(s)τdg(s	NOUN
ejpam-5461	393	21	)	)	PUNCT
ejpam-5461	393	22	)	)	PUNCT
ejpam-5461	394	1	+	+	CCONJ
ejpam-5461	394	2	(	(	PUNCT
ejpam-5461	394	3	τϖ(s)τdg(s	τϖ(s)τdg(s	NOUN
ejpam-5461	394	4	)	)	PUNCT
ejpam-5461	394	5	+	+	SYM
ejpam-5461	394	6	τϖ(t)τdg(t	τϖ(t)τdg(t	NOUN
ejpam-5461	394	7	)	)	PUNCT
ejpam-5461	394	8	)	)	PUNCT
ejpam-5461	395	1	+	+	CCONJ
ejpam-5461	395	2	(	(	PUNCT
ejpam-5461	395	3	τϖ(t)τdg(t	τϖ(t)τdg(t	NOUN
ejpam-5461	395	4	)	)	PUNCT
ejpam-5461	395	5	+	+	NUM
ejpam-5461	395	6	τϖ(q)τdg(q	τϖ(q)τdg(q	NOUN
ejpam-5461	395	7	)	)	PUNCT
ejpam-5461	395	8	)	)	PUNCT
ejpam-5461	396	1	=	=	SYM
ejpam-5461	396	2	(	(	PUNCT
ejpam-5461	396	3	(	(	PUNCT
ejpam-5461	396	4	0.7)(0.6	0.7)(0.6	NUM
ejpam-5461	396	5	)	)	PUNCT
ejpam-5461	396	6	+	+	CCONJ
ejpam-5461	396	7	(	(	PUNCT
ejpam-5461	396	8	0.6)(1	0.6)(1	NUM
ejpam-5461	396	9	)	)	PUNCT
ejpam-5461	396	10	)	)	PUNCT
ejpam-5461	397	1	+	+	CCONJ
ejpam-5461	397	2	(	(	PUNCT
ejpam-5461	397	3	(	(	PUNCT
ejpam-5461	397	4	0.6)(1	0.6)(1	NUM
ejpam-5461	397	5	)	)	PUNCT
ejpam-5461	397	6	+	+	CCONJ
ejpam-5461	397	7	(	(	PUNCT
ejpam-5461	397	8	0.5)(0.8	0.5)(0.8	NUM
ejpam-5461	397	9	)	)	PUNCT
ejpam-5461	397	10	)	)	PUNCT
ejpam-5461	398	1	+	+	CCONJ
ejpam-5461	398	2	(	(	PUNCT
ejpam-5461	398	3	(	(	PUNCT
ejpam-5461	398	4	0.5)(0.8	0.5)(0.8	NUM
ejpam-5461	398	5	)	)	PUNCT
ejpam-5461	398	6	+	+	CCONJ
ejpam-5461	398	7	(	(	PUNCT
ejpam-5461	398	8	0.5)(0.9	0.5)(0.9	NUM
ejpam-5461	398	9	)	)	PUNCT
ejpam-5461	398	10	)	)	PUNCT
ejpam-5461	399	1	+	+	CCONJ
ejpam-5461	399	2	(	(	PUNCT
ejpam-5461	399	3	(	(	PUNCT
ejpam-5461	399	4	0.5)(0.9	0.5)(0.9	NUM
ejpam-5461	399	5	)	)	PUNCT
ejpam-5461	400	1	+	+	CCONJ
ejpam-5461	400	2	(	(	PUNCT
ejpam-5461	400	3	0.8)(1.1	0.8)(1.1	NOUN
ejpam-5461	400	4	)	)	PUNCT
ejpam-5461	400	5	)	)	PUNCT
ejpam-5461	401	1	+	+	CCONJ
ejpam-5461	401	2	(	(	PUNCT
ejpam-5461	401	3	(	(	PUNCT
ejpam-5461	401	4	0.8)(1.1	0.8)(1.1	NOUN
ejpam-5461	401	5	)	)	PUNCT
ejpam-5461	401	6	+	+	CCONJ
ejpam-5461	401	7	(	(	PUNCT
ejpam-5461	401	8	0.6)(1	0.6)(1	NUM
ejpam-5461	401	9	)	)	PUNCT
ejpam-5461	401	10	)	)	PUNCT
ejpam-5461	402	1	tfzi(g	tfzi(g	NOUN
ejpam-5461	402	2	)	)	PUNCT
ejpam-5461	402	3	=	=	SYM
ejpam-5461	402	4	6.8	6.8	NUM
ejpam-5461	402	5	(	(	PUNCT
ejpam-5461	402	6	3.28	3.28	NUM
ejpam-5461	402	7	)	)	PUNCT
ejpam-5461	402	8	ifzi(g	ifzi(g	PROPN
ejpam-5461	402	9	)	)	PUNCT
ejpam-5461	402	10	=	=	PUNCT
ejpam-5461	402	11	∑	∑	PUNCT
ejpam-5461	402	12	α	α	X
ejpam-5461	402	13	,	,	PUNCT
ejpam-5461	402	14	β∈e(g	β∈e(g	PROPN
ejpam-5461	402	15	)	)	PUNCT
ejpam-5461	403	1	[	[	X
ejpam-5461	403	2	ıϖ(α)ıdg(α	ıϖ(α)ıdg(α	X
ejpam-5461	403	3	)	)	PUNCT
ejpam-5461	403	4	+	+	CCONJ
ejpam-5461	403	5	ıϖ(β)ıdg(β	ıϖ(β)ıdg(β	NOUN
ejpam-5461	403	6	)	)	PUNCT
ejpam-5461	403	7	]	]	PUNCT
ejpam-5461	404	1	=	=	PUNCT
ejpam-5461	404	2	(	(	PUNCT
ejpam-5461	404	3	ıϖ(p)ıdg(p	ıϖ(p)ıdg(p	X
ejpam-5461	404	4	)	)	PUNCT
ejpam-5461	404	5	+	+	CCONJ
ejpam-5461	404	6	ıϖ(q)ıdg(q	ıϖ(q)ıdg(q	NOUN
ejpam-5461	404	7	)	)	PUNCT
ejpam-5461	404	8	)	)	PUNCT
ejpam-5461	405	1	+	+	CCONJ
ejpam-5461	405	2	(	(	PUNCT
ejpam-5461	405	3	ıϖ(q)ıdg(q	ıϖ(q)ıdg(q	ADJ
ejpam-5461	405	4	)	)	PUNCT
ejpam-5461	405	5	+	+	CCONJ
ejpam-5461	405	6	ıϖ(r)ıdg(r	ıϖ(r)ıdg(r	NOUN
ejpam-5461	405	7	)	)	PUNCT
ejpam-5461	405	8	)	)	PUNCT
ejpam-5461	406	1	+	+	CCONJ
ejpam-5461	406	2	(	(	PUNCT
ejpam-5461	406	3	ıϖ(r)ıdg(r	ıϖ(r)ıdg(r	INTJ
ejpam-5461	406	4	)	)	PUNCT
ejpam-5461	406	5	+	+	CCONJ
ejpam-5461	406	6	ıϖ(s)ıdg(s	ıϖ(s)ıdg(s	NOUN
ejpam-5461	406	7	)	)	PUNCT
ejpam-5461	406	8	)	)	PUNCT
ejpam-5461	407	1	+	+	CCONJ
ejpam-5461	407	2	(	(	PUNCT
ejpam-5461	407	3	ıϖ(s)ıdg(s	ıϖ(s)ıdg(s	NOUN
ejpam-5461	407	4	)	)	PUNCT
ejpam-5461	407	5	+	+	SYM
ejpam-5461	407	6	ıϖ(t)ıdg(t	ıϖ(t)ıdg(t	NOUN
ejpam-5461	407	7	)	)	PUNCT
ejpam-5461	407	8	)	)	PUNCT
ejpam-5461	408	1	+	+	CCONJ
ejpam-5461	408	2	(	(	PUNCT
ejpam-5461	408	3	ıϖ(t)ıdg(t	ıϖ(t)ıdg(t	NOUN
ejpam-5461	408	4	)	)	PUNCT
ejpam-5461	408	5	+	+	SYM
ejpam-5461	408	6	ıϖ(q)ıdg(q	ıϖ(q)ıdg(q	NOUN
ejpam-5461	408	7	)	)	PUNCT
ejpam-5461	408	8	)	)	PUNCT
ejpam-5461	408	9	=	=	SYM
ejpam-5461	408	10	(	(	PUNCT
ejpam-5461	408	11	(	(	PUNCT
ejpam-5461	408	12	0.6)(0.4	0.6)(0.4	NUM
ejpam-5461	408	13	)	)	PUNCT
ejpam-5461	408	14	+	+	CCONJ
ejpam-5461	408	15	(	(	PUNCT
ejpam-5461	408	16	0.5)(0.6	0.5)(0.6	NOUN
ejpam-5461	408	17	)	)	PUNCT
ejpam-5461	408	18	)	)	PUNCT
ejpam-5461	409	1	+	+	CCONJ
ejpam-5461	409	2	(	(	PUNCT
ejpam-5461	409	3	(	(	PUNCT
ejpam-5461	409	4	0.5)(0.7	0.5)(0.7	NOUN
ejpam-5461	409	5	)	)	PUNCT
ejpam-5461	410	1	+	+	CCONJ
ejpam-5461	410	2	(	(	PUNCT
ejpam-5461	410	3	0.4)(0.8	0.4)(0.8	NUM
ejpam-5461	410	4	)	)	PUNCT
ejpam-5461	410	5	)	)	PUNCT
ejpam-5461	411	1	+	+	CCONJ
ejpam-5461	411	2	(	(	PUNCT
ejpam-5461	411	3	(	(	PUNCT
ejpam-5461	411	4	0.4)(0.7	0.4)(0.7	NUM
ejpam-5461	411	5	)	)	PUNCT
ejpam-5461	412	1	+	+	CCONJ
ejpam-5461	412	2	(	(	PUNCT
ejpam-5461	412	3	0.4)(0.7	0.4)(0.7	NUM
ejpam-5461	412	4	)	)	PUNCT
ejpam-5461	412	5	)	)	PUNCT
ejpam-5461	413	1	+	+	CCONJ
ejpam-5461	413	2	(	(	PUNCT
ejpam-5461	413	3	(	(	PUNCT
ejpam-5461	413	4	0.4)(0.7	0.4)(0.7	NUM
ejpam-5461	413	5	)	)	PUNCT
ejpam-5461	414	1	+	+	CCONJ
ejpam-5461	414	2	(	(	PUNCT
ejpam-5461	414	3	0.7)(0.9	0.7)(0.9	NOUN
ejpam-5461	414	4	)	)	PUNCT
ejpam-5461	414	5	)	)	PUNCT
ejpam-5461	415	1	+	+	CCONJ
ejpam-5461	415	2	(	(	PUNCT
ejpam-5461	415	3	(	(	PUNCT
ejpam-5461	415	4	0.7)(0.9	0.7)(0.9	NOUN
ejpam-5461	415	5	)	)	PUNCT
ejpam-5461	415	6	+	+	CCONJ
ejpam-5461	415	7	(	(	PUNCT
ejpam-5461	415	8	0.5)(0.9	0.5)(0.9	NUM
ejpam-5461	415	9	)	)	PUNCT
ejpam-5461	415	10	)	)	PUNCT
ejpam-5461	416	1	ifzi(g	ifzi(g	PROPN
ejpam-5461	416	2	)	)	PUNCT
ejpam-5461	416	3	=	=	SYM
ejpam-5461	416	4	3.87	3.87	NUM
ejpam-5461	416	5	(	(	PUNCT
ejpam-5461	416	6	3.29	3.29	NUM
ejpam-5461	416	7	)	)	PUNCT
ejpam-5461	416	8	ffzi(g	ffzi(g	PROPN
ejpam-5461	416	9	)	)	PUNCT
ejpam-5461	416	10	=	=	PUNCT
ejpam-5461	416	11	∑	∑	PUNCT
ejpam-5461	416	12	α	α	X
ejpam-5461	416	13	,	,	PUNCT
ejpam-5461	416	14	β∈e(g	β∈e(g	PROPN
ejpam-5461	416	15	)	)	PUNCT
ejpam-5461	417	1	[	[	X
ejpam-5461	417	2	𭟋ϖ(α)𭟋dg(α	𭟋ϖ(α)𭟋dg(α	X
ejpam-5461	417	3	)	)	PUNCT
ejpam-5461	417	4	+	+	ADJ
ejpam-5461	417	5	𭟋ϖ(β)𭟋dg(β	𭟋ϖ(β)𭟋dg(β	NOUN
ejpam-5461	417	6	)	)	PUNCT
ejpam-5461	417	7	]	]	PUNCT
ejpam-5461	418	1	=	=	PUNCT
ejpam-5461	418	2	(	(	PUNCT
ejpam-5461	418	3	𭟋ϖ(p)𭟋dg(p	𭟋ϖ(p)𭟋dg(p	X
ejpam-5461	418	4	)	)	PUNCT
ejpam-5461	418	5	+	+	NOUN
ejpam-5461	418	6	𭟋ϖ(q)𭟋dg(q	𭟋ϖ(q)𭟋dg(q	NOUN
ejpam-5461	418	7	)	)	PUNCT
ejpam-5461	418	8	)	)	PUNCT
ejpam-5461	419	1	+	+	CCONJ
ejpam-5461	419	2	(	(	PUNCT
ejpam-5461	419	3	𭟋ϖ(q)𭟋dg(q	𭟋ϖ(q)𭟋dg(q	NOUN
ejpam-5461	419	4	)	)	PUNCT
ejpam-5461	419	5	+	+	NOUN
ejpam-5461	419	6	𭟋ϖ(r)𭟋dg(r	𭟋ϖ(r)𭟋dg(r	NOUN
ejpam-5461	419	7	)	)	PUNCT
ejpam-5461	419	8	)	)	PUNCT
ejpam-5461	420	1	+	+	CCONJ
ejpam-5461	420	2	(	(	PUNCT
ejpam-5461	420	3	𭟋ϖ(r)𭟋dg(r	𭟋ϖ(r)𭟋dg(r	NOUN
ejpam-5461	420	4	)	)	PUNCT
ejpam-5461	420	5	+	+	NOUN
ejpam-5461	420	6	𭟋ϖ(s)𭟋dg(s	𭟋ϖ(s)𭟋dg(s	NOUN
ejpam-5461	420	7	)	)	PUNCT
ejpam-5461	420	8	)	)	PUNCT
ejpam-5461	421	1	+	+	CCONJ
ejpam-5461	421	2	(	(	PUNCT
ejpam-5461	421	3	𭟋ϖ(s)𭟋dg(s	𭟋ϖ(s)𭟋dg(s	NOUN
ejpam-5461	421	4	)	)	PUNCT
ejpam-5461	421	5	+	+	NOUN
ejpam-5461	421	6	𭟋ϖ(t)𭟋dg(t	𭟋ϖ(t)𭟋dg(t	NOUN
ejpam-5461	421	7	)	)	PUNCT
ejpam-5461	421	8	)	)	PUNCT
ejpam-5461	422	1	+	+	CCONJ
ejpam-5461	422	2	(	(	PUNCT
ejpam-5461	422	3	𭟋ϖ(t)𭟋dg(t	𭟋ϖ(t)𭟋dg(t	PROPN
ejpam-5461	422	4	)	)	PUNCT
ejpam-5461	422	5	+	+	NOUN
ejpam-5461	422	6	𭟋ϖ(q)𭟋dg(q	𭟋ϖ(q)𭟋dg(q	NOUN
ejpam-5461	422	7	)	)	PUNCT
ejpam-5461	422	8	)	)	PUNCT
ejpam-5461	422	9	ffzi(g	ffzi(g	PROPN
ejpam-5461	422	10	)	)	PUNCT
ejpam-5461	422	11	=	=	SYM
ejpam-5461	422	12	(	(	PUNCT
ejpam-5461	422	13	(	(	PUNCT
ejpam-5461	422	14	0.4)(0.5	0.4)(0.5	NOUN
ejpam-5461	422	15	)	)	PUNCT
ejpam-5461	422	16	+	+	CCONJ
ejpam-5461	422	17	(	(	PUNCT
ejpam-5461	422	18	0.4)(1	0.4)(1	NOUN
ejpam-5461	422	19	)	)	PUNCT
ejpam-5461	422	20	)	)	PUNCT
ejpam-5461	423	1	+	+	CCONJ
ejpam-5461	423	2	(	(	PUNCT
ejpam-5461	423	3	(	(	PUNCT
ejpam-5461	423	4	0.4)(1	0.4)(1	NOUN
ejpam-5461	423	5	)	)	PUNCT
ejpam-5461	423	6	+	+	CCONJ
ejpam-5461	423	7	(	(	PUNCT
ejpam-5461	423	8	0.3)(1	0.3)(1	NUM
ejpam-5461	423	9	)	)	PUNCT
ejpam-5461	423	10	)	)	PUNCT
ejpam-5461	424	1	+	+	CCONJ
ejpam-5461	424	2	(	(	PUNCT
ejpam-5461	424	3	(	(	PUNCT
ejpam-5461	424	4	0.3)(1	0.3)(1	NUM
ejpam-5461	424	5	)	)	PUNCT
ejpam-5461	424	6	+	+	CCONJ
ejpam-5461	424	7	(	(	PUNCT
ejpam-5461	424	8	0.3)(0.5	0.3)(0.5	NUM
ejpam-5461	424	9	)	)	PUNCT
ejpam-5461	424	10	)	)	PUNCT
ejpam-5461	425	1	+	+	CCONJ
ejpam-5461	425	2	(	(	PUNCT
ejpam-5461	425	3	(	(	PUNCT
ejpam-5461	425	4	0.3)(0.5	0.3)(0.5	NUM
ejpam-5461	425	5	)	)	PUNCT
ejpam-5461	425	6	+	+	CCONJ
ejpam-5461	425	7	(	(	PUNCT
ejpam-5461	425	8	0.4)(0.1	0.4)(0.1	NUM
ejpam-5461	425	9	)	)	PUNCT
ejpam-5461	425	10	)	)	PUNCT
ejpam-5461	426	1	+	+	CCONJ
ejpam-5461	426	2	(	(	PUNCT
ejpam-5461	426	3	(	(	PUNCT
ejpam-5461	426	4	0.4)(1	0.4)(1	NOUN
ejpam-5461	426	5	)	)	PUNCT
ejpam-5461	426	6	+	+	CCONJ
ejpam-5461	426	7	(	(	PUNCT
ejpam-5461	426	8	0.4)(1	0.4)(1	NOUN
ejpam-5461	426	9	)	)	PUNCT
ejpam-5461	426	10	)	)	PUNCT
ejpam-5461	427	1	ffzi(g	ffzi(g	NOUN
ejpam-5461	427	2	)	)	PUNCT
ejpam-5461	428	1	=	=	SYM
ejpam-5461	428	2	3.04	3.04	NUM
ejpam-5461	428	3	(	(	PUNCT
ejpam-5461	428	4	3.30	3.30	NUM
ejpam-5461	428	5	)	)	PUNCT
ejpam-5461	428	6	substitute	substitute	NOUN
ejpam-5461	428	7	(	(	PUNCT
ejpam-5461	428	8	3.28	3.28	NUM
ejpam-5461	428	9	)	)	PUNCT
ejpam-5461	428	10	,	,	PUNCT
ejpam-5461	428	11	(	(	PUNCT
ejpam-5461	428	12	3.29	3.29	NUM
ejpam-5461	428	13	)	)	PUNCT
ejpam-5461	428	14	and	and	CCONJ
ejpam-5461	428	15	(	(	PUNCT
ejpam-5461	428	16	3.30	3.30	NUM
ejpam-5461	428	17	)	)	PUNCT
ejpam-5461	428	18	in	in	ADP
ejpam-5461	428	19	(	(	PUNCT
ejpam-5461	428	20	3.27	3.27	NUM
ejpam-5461	428	21	)	)	PUNCT
ejpam-5461	428	22	,	,	PUNCT
ejpam-5461	428	23	we	we	PRON
ejpam-5461	428	24	get	get	VERB
ejpam-5461	428	25	nfzi(g	nfzi(g	ADV
ejpam-5461	428	26	)	)	PUNCT
ejpam-5461	429	1	=	=	PUNCT
ejpam-5461	429	2	6.8	6.8	NUM
ejpam-5461	430	1	+	+	NUM
ejpam-5461	430	2	3.87	3.87	NUM
ejpam-5461	430	3	+	+	NUM
ejpam-5461	430	4	3.04	3.04	NUM
ejpam-5461	430	5	nfzi(g	nfzi(g	NOUN
ejpam-5461	430	6	)	)	PUNCT
ejpam-5461	430	7	=	=	PUNCT
ejpam-5461	430	8	13.71	13.71	NUM
ejpam-5461	430	9	.	.	PUNCT
ejpam-5461	431	1	thus	thus	ADV
ejpam-5461	431	2	,	,	PUNCT
ejpam-5461	431	3	cleary	cleary	PROPN
ejpam-5461	431	4	nsoi(g	nsoi(g	PROPN
ejpam-5461	431	5	)	)	PUNCT
ejpam-5461	431	6	<	<	X
ejpam-5461	431	7	nfzi(g	nfzi(g	PROPN
ejpam-5461	431	8	)	)	PUNCT
ejpam-5461	431	9	.	.	PUNCT
ejpam-5461	432	1	theorem	theorem	NOUN
ejpam-5461	432	2	5	5	NUM
ejpam-5461	432	3	.	.	PUNCT
ejpam-5461	433	1	let	let	VERB
ejpam-5461	433	2	g	g	PROPN
ejpam-5461	433	3	=	=	SYM
ejpam-5461	433	4	(	(	PUNCT
ejpam-5461	433	5	v	v	NOUN
ejpam-5461	433	6	,	,	PUNCT
ejpam-5461	433	7	ϖ	ϖ	PROPN
ejpam-5461	433	8	,	,	PUNCT
ejpam-5461	433	9	ρ	ρ	NOUN
ejpam-5461	433	10	)	)	PUNCT
ejpam-5461	433	11	be	be	VERB
ejpam-5461	433	12	a	a	DET
ejpam-5461	433	13	n	n	NUM
ejpam-5461	433	14	-	-	PUNCT
ejpam-5461	433	15	vertex	vertex	NOUN
ejpam-5461	433	16	ng	ng	PROPN
ejpam-5461	433	17	with	with	ADP
ejpam-5461	433	18	m	m	NOUN
ejpam-5461	433	19	-	-	NOUN
ejpam-5461	433	20	edges	edge	NOUN
ejpam-5461	433	21	.	.	PUNCT
ejpam-5461	434	1	then	then	ADV
ejpam-5461	434	2	nsoi(g	nsoi(g	PROPN
ejpam-5461	434	3	)	)	PUNCT
ejpam-5461	434	4	≥	≥	NOUN
ejpam-5461	434	5	nsoi(g	nsoi(g	ADP
ejpam-5461	434	6	−	−	PROPN
ejpam-5461	434	7	e	e	NOUN
ejpam-5461	434	8	)	)	PUNCT
ejpam-5461	434	9	,	,	PUNCT
ejpam-5461	434	10	where	where	SCONJ
ejpam-5461	434	11	e	e	PROPN
ejpam-5461	434	12	∈	∈	PROPN
ejpam-5461	434	13	e(g	e(g	PROPN
ejpam-5461	434	14	)	)	PUNCT
ejpam-5461	434	15	.	.	PUNCT
ejpam-5461	435	1	proof	proof	NOUN
ejpam-5461	435	2	.	.	PUNCT
ejpam-5461	436	1	let	let	VERB
ejpam-5461	436	2	g	g	PROPN
ejpam-5461	436	3	=	=	SYM
ejpam-5461	436	4	(	(	PUNCT
ejpam-5461	436	5	v	v	NOUN
ejpam-5461	436	6	,	,	PUNCT
ejpam-5461	436	7	w	w	PROPN
ejpam-5461	436	8	,	,	PUNCT
ejpam-5461	436	9	p	p	NOUN
ejpam-5461	436	10	)	)	PUNCT
ejpam-5461	436	11	be	be	AUX
ejpam-5461	436	12	a	a	DET
ejpam-5461	436	13	ng	ng	PROPN
ejpam-5461	436	14	and	and	CCONJ
ejpam-5461	436	15	h	h	NOUN
ejpam-5461	437	1	=	=	NOUN
ejpam-5461	437	2	g	g	PROPN
ejpam-5461	437	3	−	−	PROPN
ejpam-5461	438	1	e	e	NOUN
ejpam-5461	438	2	is	be	AUX
ejpam-5461	438	3	a	a	DET
ejpam-5461	438	4	graph	graph	NOUN
ejpam-5461	438	5	obtained	obtain	VERB
ejpam-5461	438	6	by	by	ADP
ejpam-5461	438	7	removing	remove	VERB
ejpam-5461	438	8	an	an	DET
ejpam-5461	438	9	edge	edge	NOUN
ejpam-5461	438	10	e	e	NOUN
ejpam-5461	438	11	∈	∈	PROPN
ejpam-5461	438	12	e(g	e(g	PROPN
ejpam-5461	438	13	)	)	PUNCT
ejpam-5461	438	14	.	.	PUNCT
ejpam-5461	439	1	the	the	DET
ejpam-5461	439	2	mvs	mvs	PROPN
ejpam-5461	439	3	in	in	ADP
ejpam-5461	439	4	g	g	PROPN
ejpam-5461	439	5	and	and	CCONJ
ejpam-5461	439	6	h	h	NOUN
ejpam-5461	439	7	are	be	AUX
ejpam-5461	439	8	given	give	VERB
ejpam-5461	439	9	by	by	ADP
ejpam-5461	439	10	the	the	DET
ejpam-5461	439	11	relationship	relationship	NOUN
ejpam-5461	439	12	.	.	PUNCT
ejpam-5461	440	1	τϖg(β	τϖg(β	PROPN
ejpam-5461	440	2	)	)	PUNCT
ejpam-5461	440	3	≥	≥	NOUN
ejpam-5461	440	4	τϖh(β	τϖh(β	NUM
ejpam-5461	440	5	)	)	PUNCT
ejpam-5461	440	6	,	,	PUNCT
ejpam-5461	440	7	ıϖg(β	ıϖg(β	PROPN
ejpam-5461	440	8	)	)	PUNCT
ejpam-5461	440	9	≥	≥	NOUN
ejpam-5461	440	10	ıϖh(β	ıϖh(β	NOUN
ejpam-5461	440	11	)	)	PUNCT
ejpam-5461	440	12	and𭟋ϖg(β	and𭟋ϖg(β	NOUN
ejpam-5461	440	13	)	)	PUNCT
ejpam-5461	440	14	≥	≥	X
ejpam-5461	440	15	𭟋ϖh(β	𭟋ϖh(β	X
ejpam-5461	440	16	)	)	PUNCT
ejpam-5461	440	17	and	and	CCONJ
ejpam-5461	440	18	τρg(ϱ	τρg(ϱ	PROPN
ejpam-5461	440	19	)	)	PUNCT
ejpam-5461	440	20	≥	≥	NOUN
ejpam-5461	440	21	τρh(ϱ	τρh(ϱ	NUM
ejpam-5461	440	22	)	)	PUNCT
ejpam-5461	440	23	,	,	PUNCT
ejpam-5461	440	24	ıρg(ϱ	ıρg(ϱ	PROPN
ejpam-5461	440	25	)	)	PUNCT
ejpam-5461	440	26	≥	≥	NOUN
ejpam-5461	440	27	ıρh(ϱ	ıρh(ϱ	SYM
ejpam-5461	440	28	)	)	PUNCT
ejpam-5461	440	29	and	and	CCONJ
ejpam-5461	440	30	𭟋ρg(ϱ	𭟋ρg(ϱ	NUM
ejpam-5461	440	31	)	)	PUNCT
ejpam-5461	440	32	≥	≥	NOUN
ejpam-5461	440	33	𭟋ρh(ϱ	𭟋ρh(ϱ	ADJ
ejpam-5461	440	34	)	)	PUNCT
ejpam-5461	440	35	.	.	PUNCT
ejpam-5461	441	1	this	this	PRON
ejpam-5461	441	2	show	show	VERB
ejpam-5461	441	3	that	that	SCONJ
ejpam-5461	441	4	τdg(β	τdg(β	NOUN
ejpam-5461	441	5	)	)	PUNCT
ejpam-5461	441	6	≥	≥	NOUN
ejpam-5461	441	7	τdh(β	τdh(β	NOUN
ejpam-5461	441	8	)	)	PUNCT
ejpam-5461	441	9	,	,	PUNCT
ejpam-5461	441	10	ıdg(β	ıdg(β	PROPN
ejpam-5461	441	11	)	)	PUNCT
ejpam-5461	441	12	≥	≥	NOUN
ejpam-5461	441	13	ıdh(β	ıdh(β	PROPN
ejpam-5461	441	14	)	)	PUNCT
ejpam-5461	441	15	and	and	CCONJ
ejpam-5461	441	16	𭟋dg(β	𭟋dg(β	NOUN
ejpam-5461	441	17	)	)	PUNCT
ejpam-5461	441	18	≥	≥	NOUN
ejpam-5461	441	19	𭟋dh(β	𭟋dh(β	NOUN
ejpam-5461	441	20	)	)	PUNCT
ejpam-5461	441	21	.	.	PUNCT
ejpam-5461	442	1	now	now	ADV
ejpam-5461	442	2	,	,	PUNCT
ejpam-5461	442	3	nsoi(g	nsoi(g	ADV
ejpam-5461	442	4	)	)	PUNCT
ejpam-5461	442	5	=	=	SYM
ejpam-5461	442	6	tsoi(g	tsoi(g	PROPN
ejpam-5461	442	7	)	)	PUNCT
ejpam-5461	443	1	+	+	NUM
ejpam-5461	443	2	isoi(g	isoi(g	X
ejpam-5461	443	3	)	)	PUNCT
ejpam-5461	444	1	+	+	NUM
ejpam-5461	444	2	fsoi(g	fsoi(g	X
ejpam-5461	444	3	)	)	PUNCT
ejpam-5461	444	4	(	(	PUNCT
ejpam-5461	444	5	3.31	3.31	NUM
ejpam-5461	444	6	)	)	PUNCT
ejpam-5461	444	7	tsoi(g	tsoi(g	PROPN
ejpam-5461	444	8	)	)	PUNCT
ejpam-5461	444	9	=	=	SYM
ejpam-5461	444	10	∑	∑	PUNCT
ejpam-5461	444	11	α	α	X
ejpam-5461	444	12	,	,	PUNCT
ejpam-5461	444	13	β∈e(g	β∈e(g	PROPN
ejpam-5461	444	14	)	)	PUNCT
ejpam-5461	444	15	√	√	PROPN
ejpam-5461	444	16	(	(	PUNCT
ejpam-5461	444	17	τϖ(α)τdg(α))2	τϖ(α)τdg(α))2	X
ejpam-5461	444	18	+	+	CCONJ
ejpam-5461	444	19	(	(	PUNCT
ejpam-5461	444	20	τϖ(β)τdg(β))2	τϖ(β)τdg(β))2	NUM
ejpam-5461	444	21	m.	m.	NOUN
ejpam-5461	444	22	alqahtani	alqahtani	PROPN
ejpam-5461	444	23	,	,	PUNCT
ejpam-5461	444	24	m.	m.	NOUN
ejpam-5461	444	25	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	444	26	,	,	PUNCT
ejpam-5461	444	27	m.	m.	NOUN
ejpam-5461	444	28	rajeshwari	rajeshwari	PROPN
ejpam-5461	444	29	/	/	SYM
ejpam-5461	444	30	eur	eur	PROPN
ejpam-5461	444	31	.	.	PUNCT
ejpam-5461	445	1	j.	j.	PROPN
ejpam-5461	445	2	pure	pure	PROPN
ejpam-5461	445	3	appl	appl	PROPN
ejpam-5461	445	4	.	.	PROPN
ejpam-5461	445	5	math	math	PROPN
ejpam-5461	445	6	,	,	PUNCT
ejpam-5461	445	7	17	17	NUM
ejpam-5461	445	8	(	(	PUNCT
ejpam-5461	445	9	4	4	NUM
ejpam-5461	445	10	)	)	PUNCT
ejpam-5461	445	11	(	(	PUNCT
ejpam-5461	445	12	2024	2024	NUM
ejpam-5461	445	13	)	)	PUNCT
ejpam-5461	445	14	,	,	PUNCT
ejpam-5461	445	15	2586	2586	NUM
ejpam-5461	445	16	-	-	SYM
ejpam-5461	445	17	2620	2620	NUM
ejpam-5461	445	18	2605	2605	NUM
ejpam-5461	445	19	≥	≥	NOUN
ejpam-5461	445	20	∑	∑	PROPN
ejpam-5461	445	21	α	α	X
ejpam-5461	445	22	,	,	PUNCT
ejpam-5461	445	23	β∈e(g	β∈e(g	PROPN
ejpam-5461	445	24	)	)	PUNCT
ejpam-5461	446	1	√	√	PROPN
ejpam-5461	446	2	(	(	PUNCT
ejpam-5461	446	3	τϖ(α)τdh(α))2	τϖ(α)τdh(α))2	X
ejpam-5461	447	1	+	+	CCONJ
ejpam-5461	447	2	(	(	PUNCT
ejpam-5461	447	3	τϖ(β)τdh(β))2	τϖ(β)τdh(β))2	X
ejpam-5461	447	4	=	=	SYM
ejpam-5461	447	5	tsoi(h	tsoi(h	PROPN
ejpam-5461	447	6	)	)	PUNCT
ejpam-5461	447	7	=	=	PUNCT
ejpam-5461	448	1	tsoi(g	tsoi(g	ADP
ejpam-5461	448	2	−	−	PROPN
ejpam-5461	448	3	e	e	NOUN
ejpam-5461	448	4	)	)	PUNCT
ejpam-5461	448	5	(	(	PUNCT
ejpam-5461	448	6	3.32	3.32	NUM
ejpam-5461	448	7	)	)	PUNCT
ejpam-5461	448	8	isoi(g	isoi(g	NOUN
ejpam-5461	448	9	)	)	PUNCT
ejpam-5461	448	10	=	=	PUNCT
ejpam-5461	448	11	∑	∑	PUNCT
ejpam-5461	448	12	α	α	X
ejpam-5461	448	13	,	,	PUNCT
ejpam-5461	448	14	β∈e(g	β∈e(g	PROPN
ejpam-5461	448	15	)	)	PUNCT
ejpam-5461	448	16	√	√	PROPN
ejpam-5461	449	1	(	(	PUNCT
ejpam-5461	449	2	ıϖ(α)ıdg(α))2	ıϖ(α)ıdg(α))2	X
ejpam-5461	449	3	+	+	CCONJ
ejpam-5461	449	4	(	(	PUNCT
ejpam-5461	449	5	ıϖ(β)ıdg(β))2	ıϖ(β)ıdg(β))2	X
ejpam-5461	449	6	≥	≥	NUM
ejpam-5461	449	7	∑	∑	NOUN
ejpam-5461	449	8	α	α	X
ejpam-5461	449	9	,	,	PUNCT
ejpam-5461	449	10	β∈e(g	β∈e(g	PROPN
ejpam-5461	449	11	)	)	PUNCT
ejpam-5461	449	12	√	√	PROPN
ejpam-5461	450	1	(	(	PUNCT
ejpam-5461	450	2	ıϖ(α)ıdh(α))2	ıϖ(α)ıdh(α))2	NOUN
ejpam-5461	450	3	+	+	CCONJ
ejpam-5461	450	4	(	(	PUNCT
ejpam-5461	450	5	ıϖ(β)ıdh(β))2	ıϖ(β)ıdh(β))2	PROPN
ejpam-5461	450	6	=	=	SYM
ejpam-5461	450	7	isoi(h	isoi(h	PROPN
ejpam-5461	450	8	)	)	PUNCT
ejpam-5461	450	9	isoi(g	isoi(g	PROPN
ejpam-5461	450	10	)	)	PUNCT
ejpam-5461	451	1	=	=	SYM
ejpam-5461	451	2	isoi(g	isoi(g	ADP
ejpam-5461	451	3	−	−	PROPN
ejpam-5461	451	4	e	e	X
ejpam-5461	451	5	)	)	PUNCT
ejpam-5461	451	6	(	(	PUNCT
ejpam-5461	451	7	3.33	3.33	NUM
ejpam-5461	451	8	)	)	PUNCT
ejpam-5461	451	9	fsoi(g	fsoi(g	NOUN
ejpam-5461	451	10	)	)	PUNCT
ejpam-5461	452	1	=	=	PUNCT
ejpam-5461	452	2	∑	∑	PUNCT
ejpam-5461	452	3	α	α	X
ejpam-5461	452	4	,	,	PUNCT
ejpam-5461	452	5	β∈e(g	β∈e(g	PROPN
ejpam-5461	452	6	)	)	PUNCT
ejpam-5461	453	1	√	√	PROPN
ejpam-5461	453	2	(	(	PUNCT
ejpam-5461	453	3	𭟋ϖ(α)𭟋dg(α))2	𭟋ϖ(α)𭟋dg(α))2	X
ejpam-5461	453	4	+	+	CCONJ
ejpam-5461	453	5	(	(	PUNCT
ejpam-5461	453	6	𭟋ϖ(β)𭟋dg(β))2	𭟋ϖ(β)𭟋dg(β))2	NOUN
ejpam-5461	453	7	≥	≥	NUM
ejpam-5461	453	8	∑	∑	NOUN
ejpam-5461	453	9	α	α	X
ejpam-5461	453	10	,	,	PUNCT
ejpam-5461	453	11	β∈e(g	β∈e(g	PROPN
ejpam-5461	453	12	)	)	PUNCT
ejpam-5461	453	13	√	√	PROPN
ejpam-5461	454	1	(	(	PUNCT
ejpam-5461	454	2	𭟋ϖ(α)𭟋dh(α))2	𭟋ϖ(α)𭟋dh(α))2	PROPN
ejpam-5461	454	3	+	+	CCONJ
ejpam-5461	454	4	(	(	PUNCT
ejpam-5461	454	5	𭟋ϖ(β)𭟋dh(β))2	𭟋ϖ(β)𭟋dh(β))2	PROPN
ejpam-5461	454	6	=	=	SYM
ejpam-5461	454	7	fsoi(h	fsoi(h	PROPN
ejpam-5461	454	8	)	)	PUNCT
ejpam-5461	454	9	fsoi(g	fsoi(g	PROPN
ejpam-5461	454	10	)	)	PUNCT
ejpam-5461	455	1	=	=	SYM
ejpam-5461	455	2	fsoi(g	fsoi(g	NUM
ejpam-5461	455	3	−	−	PROPN
ejpam-5461	455	4	e	e	NOUN
ejpam-5461	455	5	)	)	PUNCT
ejpam-5461	455	6	(	(	PUNCT
ejpam-5461	455	7	3.34	3.34	NUM
ejpam-5461	455	8	)	)	PUNCT
ejpam-5461	455	9	substitute	substitute	NOUN
ejpam-5461	455	10	(	(	PUNCT
ejpam-5461	455	11	3.32	3.32	NUM
ejpam-5461	455	12	)	)	PUNCT
ejpam-5461	455	13	,	,	PUNCT
ejpam-5461	455	14	(	(	PUNCT
ejpam-5461	455	15	3.33	3.33	NUM
ejpam-5461	455	16	)	)	PUNCT
ejpam-5461	455	17	and	and	CCONJ
ejpam-5461	455	18	(	(	PUNCT
ejpam-5461	455	19	3.34	3.34	NUM
ejpam-5461	455	20	)	)	PUNCT
ejpam-5461	455	21	in	in	ADP
ejpam-5461	455	22	(	(	PUNCT
ejpam-5461	455	23	3.31	3.31	NUM
ejpam-5461	455	24	)	)	PUNCT
ejpam-5461	455	25	,	,	PUNCT
ejpam-5461	455	26	we	we	PRON
ejpam-5461	455	27	get	get	VERB
ejpam-5461	455	28	nsoi(g	nsoi(g	PROPN
ejpam-5461	455	29	)	)	PUNCT
ejpam-5461	455	30	≥	≥	NOUN
ejpam-5461	455	31	nsoi(g	nsoi(g	ADP
ejpam-5461	455	32	−	−	NOUN
ejpam-5461	455	33	ϱ	ϱ	PROPN
ejpam-5461	455	34	)	)	PUNCT
ejpam-5461	455	35	.	.	PUNCT
ejpam-5461	456	1	example	example	NOUN
ejpam-5461	457	1	3	3	NUM
ejpam-5461	457	2	.	.	X
ejpam-5461	457	3	form	form	VERB
ejpam-5461	457	4	the	the	DET
ejpam-5461	457	5	example	example	NOUN
ejpam-5461	457	6	2	2	NUM
ejpam-5461	457	7	,	,	PUNCT
ejpam-5461	457	8	we	we	PRON
ejpam-5461	457	9	can	can	AUX
ejpam-5461	457	10	obtained	obtain	VERB
ejpam-5461	457	11	,	,	PUNCT
ejpam-5461	457	12	nspi(g)=	nspi(g)=	NOUN
ejpam-5461	457	13	9.2297	9.2297	NUM
ejpam-5461	457	14	.	.	PUNCT
ejpam-5461	458	1	now	now	ADV
ejpam-5461	458	2	,	,	PUNCT
ejpam-5461	458	3	let	let	VERB
ejpam-5461	458	4	h	h	NOUN
ejpam-5461	458	5	=	=	PUNCT
ejpam-5461	458	6	g	g	PROPN
ejpam-5461	458	7	−	−	PROPN
ejpam-5461	458	8	{	{	PUNCT
ejpam-5461	458	9	bc	bc	PROPN
ejpam-5461	458	10	}	}	PUNCT
ejpam-5461	458	11	be	be	VERB
ejpam-5461	458	12	a	a	DET
ejpam-5461	458	13	graph	graph	NOUN
ejpam-5461	458	14	obtained	obtain	VERB
ejpam-5461	458	15	by	by	ADP
ejpam-5461	458	16	removing	remove	VERB
ejpam-5461	458	17	an	an	DET
ejpam-5461	458	18	edge	edge	NOUN
ejpam-5461	458	19	bc	bc	PROPN
ejpam-5461	458	20	∈	∈	PROPN
ejpam-5461	458	21	e(g	e(g	PROPN
ejpam-5461	458	22	)	)	PUNCT
ejpam-5461	458	23	.	.	PUNCT
ejpam-5461	459	1	the	the	DET
ejpam-5461	459	2	mvs	mvs	PROPN
ejpam-5461	459	3	of	of	ADP
ejpam-5461	459	4	the	the	DET
ejpam-5461	459	5	vertices	vertex	NOUN
ejpam-5461	459	6	of	of	ADP
ejpam-5461	459	7	h	h	NOUN
ejpam-5461	459	8	will	will	AUX
ejpam-5461	459	9	remain	remain	VERB
ejpam-5461	459	10	same	same	ADJ
ejpam-5461	459	11	as	as	ADP
ejpam-5461	459	12	in	in	ADP
ejpam-5461	459	13	g	g	NOUN
ejpam-5461	459	14	but	but	CCONJ
ejpam-5461	459	15	there	there	PRON
ejpam-5461	459	16	is	be	VERB
ejpam-5461	459	17	a	a	DET
ejpam-5461	459	18	change	change	NOUN
ejpam-5461	459	19	in	in	ADP
ejpam-5461	459	20	degree	degree	NOUN
ejpam-5461	459	21	of	of	ADP
ejpam-5461	459	22	the	the	DET
ejpam-5461	459	23	b	b	PROPN
ejpam-5461	459	24	and	and	CCONJ
ejpam-5461	459	25	c	c	PROPN
ejpam-5461	459	26	in	in	ADP
ejpam-5461	459	27	h.	h.	PROPN
ejpam-5461	459	28	then	then	ADV
ejpam-5461	459	29	dg(b	dg(b	NOUN
ejpam-5461	459	30	)	)	PUNCT
ejpam-5461	459	31	=	=	SYM
ejpam-5461	459	32	(	(	PUNCT
ejpam-5461	459	33	1.2	1.2	NUM
ejpam-5461	459	34	,	,	PUNCT
ejpam-5461	459	35	0.9	0.9	NUM
ejpam-5461	459	36	,	,	PUNCT
ejpam-5461	459	37	0.9	0.9	NUM
ejpam-5461	459	38	)	)	PUNCT
ejpam-5461	459	39	and	and	CCONJ
ejpam-5461	459	40	then	then	ADV
ejpam-5461	459	41	dg(c	dg(c	VERB
ejpam-5461	459	42	)	)	PUNCT
ejpam-5461	460	1	=	=	PUNCT
ejpam-5461	460	2	(	(	PUNCT
ejpam-5461	460	3	0.4	0.4	NUM
ejpam-5461	460	4	,	,	PUNCT
ejpam-5461	460	5	0.3	0.3	NUM
ejpam-5461	460	6	,	,	PUNCT
ejpam-5461	460	7	0.5	0.5	NUM
ejpam-5461	460	8	)	)	PUNCT
ejpam-5461	460	9	.	.	PUNCT
ejpam-5461	461	1	now	now	ADV
ejpam-5461	461	2	,	,	PUNCT
ejpam-5461	461	3	nsoi(g	nsoi(g	ADV
ejpam-5461	461	4	)	)	PUNCT
ejpam-5461	461	5	=	=	SYM
ejpam-5461	461	6	tsoi(h	tsoi(h	PROPN
ejpam-5461	461	7	)	)	PUNCT
ejpam-5461	461	8	+	+	NUM
ejpam-5461	461	9	isoi(h	isoi(h	NOUN
ejpam-5461	461	10	)	)	PUNCT
ejpam-5461	462	1	+	+	NUM
ejpam-5461	462	2	fsoi(h	fsoi(h	NOUN
ejpam-5461	462	3	)	)	PUNCT
ejpam-5461	462	4	(	(	PUNCT
ejpam-5461	462	5	3.35	3.35	NUM
ejpam-5461	462	6	)	)	PUNCT
ejpam-5461	462	7	tsoi(g	tsoi(g	PROPN
ejpam-5461	462	8	)	)	PUNCT
ejpam-5461	462	9	=	=	SYM
ejpam-5461	462	10	∑	∑	PUNCT
ejpam-5461	462	11	α	α	X
ejpam-5461	462	12	,	,	PUNCT
ejpam-5461	462	13	β∈e(h	β∈e(h	NOUN
ejpam-5461	462	14	)	)	PUNCT
ejpam-5461	462	15	√	√	INTJ
ejpam-5461	462	16	(	(	PUNCT
ejpam-5461	462	17	τϖ(α)τdh(α))2	τϖ(α)τdh(α))2	X
ejpam-5461	463	1	+	+	CCONJ
ejpam-5461	463	2	(	(	PUNCT
ejpam-5461	463	3	τϖ(β)τdh(β))2	τϖ(β)τdh(β))2	X
ejpam-5461	463	4	=	=	PUNCT
ejpam-5461	463	5	√	√	INTJ
ejpam-5461	463	6	(	(	PUNCT
ejpam-5461	463	7	τϖ(a)τdh(a))2	τϖ(a)τdh(a))2	X
ejpam-5461	463	8	+	+	CCONJ
ejpam-5461	463	9	(	(	PUNCT
ejpam-5461	463	10	τϖ(b)τdh(b))2	τϖ(b)τdh(b))2	NOUN
ejpam-5461	463	11	+	+	CCONJ
ejpam-5461	463	12	√	√	INTJ
ejpam-5461	463	13	(	(	PUNCT
ejpam-5461	463	14	τϖ(b)τdh(b))2	τϖ(b)τdh(b))2	NOUN
ejpam-5461	463	15	+	+	CCONJ
ejpam-5461	463	16	(	(	PUNCT
ejpam-5461	463	17	τϖ(e)τdh(e))2	τϖ(e)τdh(e))2	NUM
ejpam-5461	463	18	+	+	CCONJ
ejpam-5461	463	19	√	√	PROPN
ejpam-5461	463	20	(	(	PUNCT
ejpam-5461	463	21	τϖ(ϱ)τdh(ϱ))2	τϖ(ϱ)τdh(ϱ))2	X
ejpam-5461	463	22	+	+	CCONJ
ejpam-5461	463	23	(	(	PUNCT
ejpam-5461	463	24	τϖ(d)τdh(d))2	τϖ(d)τdh(d))2	X
ejpam-5461	463	25	+	+	ADV
ejpam-5461	463	26	√	√	INTJ
ejpam-5461	463	27	(	(	PUNCT
ejpam-5461	463	28	τϖ(d)τdh(d))2	τϖ(d)τdh(d))2	X
ejpam-5461	463	29	+	+	CCONJ
ejpam-5461	463	30	(	(	PUNCT
ejpam-5461	463	31	τϖ(c)τdh(c))2	τϖ(c)τdh(c))2	PROPN
ejpam-5461	463	32	tsoi(g	tsoi(g	PROPN
ejpam-5461	463	33	)	)	PUNCT
ejpam-5461	463	34	=	=	SYM
ejpam-5461	463	35	√	√	PROPN
ejpam-5461	463	36	(	(	PUNCT
ejpam-5461	463	37	(	(	PUNCT
ejpam-5461	463	38	0.7)(0.6))2	0.7)(0.6))2	NOUN
ejpam-5461	463	39	+	+	CCONJ
ejpam-5461	463	40	(	(	PUNCT
ejpam-5461	463	41	(	(	PUNCT
ejpam-5461	463	42	0.6)(1.2))2	0.6)(1.2))2	NUM
ejpam-5461	463	43	+	+	CCONJ
ejpam-5461	463	44	√	√	PROPN
ejpam-5461	463	45	(	(	PUNCT
ejpam-5461	463	46	(	(	PUNCT
ejpam-5461	463	47	0.6)(1.2))2	0.6)(1.2))2	NUM
ejpam-5461	463	48	+	+	CCONJ
ejpam-5461	463	49	(	(	PUNCT
ejpam-5461	463	50	(	(	PUNCT
ejpam-5461	463	51	0.8)(1.1))2	0.8)(1.1))2	PROPN
ejpam-5461	463	52	m.	m.	PROPN
ejpam-5461	463	53	alqahtani	alqahtani	PROPN
ejpam-5461	463	54	,	,	PUNCT
ejpam-5461	463	55	m.	m.	NOUN
ejpam-5461	463	56	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	463	57	,	,	PUNCT
ejpam-5461	463	58	m.	m.	NOUN
ejpam-5461	463	59	rajeshwari	rajeshwari	PROPN
ejpam-5461	463	60	/	/	SYM
ejpam-5461	463	61	eur	eur	PROPN
ejpam-5461	463	62	.	.	PUNCT
ejpam-5461	464	1	j.	j.	PROPN
ejpam-5461	464	2	pure	pure	PROPN
ejpam-5461	464	3	appl	appl	PROPN
ejpam-5461	464	4	.	.	PROPN
ejpam-5461	464	5	math	math	PROPN
ejpam-5461	464	6	,	,	PUNCT
ejpam-5461	464	7	17	17	NUM
ejpam-5461	464	8	(	(	PUNCT
ejpam-5461	464	9	4	4	NUM
ejpam-5461	464	10	)	)	PUNCT
ejpam-5461	464	11	(	(	PUNCT
ejpam-5461	464	12	2024	2024	NUM
ejpam-5461	464	13	)	)	PUNCT
ejpam-5461	464	14	,	,	PUNCT
ejpam-5461	464	15	2586	2586	NUM
ejpam-5461	464	16	-	-	SYM
ejpam-5461	464	17	2620	2620	NUM
ejpam-5461	464	18	2606	2606	NUM
ejpam-5461	464	19	figure	figure	NOUN
ejpam-5461	464	20	3	3	NUM
ejpam-5461	464	21	:	:	PUNCT
ejpam-5461	464	22	ng	ng	PROPN
ejpam-5461	464	23	on	on	ADP
ejpam-5461	464	24	5	5	NUM
ejpam-5461	464	25	-	-	PUNCT
ejpam-5461	464	26	vertices	vertex	NOUN
ejpam-5461	464	27	+	+	X
ejpam-5461	464	28	√	√	NUM
ejpam-5461	464	29	(	(	PUNCT
ejpam-5461	464	30	(	(	PUNCT
ejpam-5461	464	31	0.8)(1.1))2	0.8)(1.1))2	NOUN
ejpam-5461	464	32	+	+	CCONJ
ejpam-5461	464	33	(	(	PUNCT
ejpam-5461	464	34	(	(	PUNCT
ejpam-5461	464	35	0.5)(0.9))2	0.5)(0.9))2	NUM
ejpam-5461	464	36	+	+	CCONJ
ejpam-5461	464	37	√	√	NUM
ejpam-5461	464	38	(	(	PUNCT
ejpam-5461	464	39	(	(	PUNCT
ejpam-5461	464	40	0.5)(0.9))2	0.5)(0.9))2	NUM
ejpam-5461	464	41	+	+	CCONJ
ejpam-5461	464	42	(	(	PUNCT
ejpam-5461	464	43	(	(	PUNCT
ejpam-5461	464	44	0.5)(0.4))2	0.5)(0.4))2	NOUN
ejpam-5461	464	45	=	=	SYM
ejpam-5461	464	46	0.833	0.833	NUM
ejpam-5461	464	47	+	+	NUM
ejpam-5461	464	48	1.137	1.137	NUM
ejpam-5461	464	49	+	+	CCONJ
ejpam-5461	464	50	0.988	0.988	NUM
ejpam-5461	464	51	+	+	NOUN
ejpam-5461	464	52	0.4924	0.4924	NUM
ejpam-5461	464	53	tsoi(g	tsoi(g	NUM
ejpam-5461	464	54	)	)	PUNCT
ejpam-5461	464	55	=	=	SYM
ejpam-5461	465	1	3.4504	3.4504	NUM
ejpam-5461	465	2	(	(	PUNCT
ejpam-5461	465	3	3.36	3.36	NUM
ejpam-5461	465	4	)	)	PUNCT
ejpam-5461	465	5	isoi(g	isoi(g	PROPN
ejpam-5461	465	6	)	)	PUNCT
ejpam-5461	465	7	=	=	SYM
ejpam-5461	465	8	∑	∑	PUNCT
ejpam-5461	465	9	α	α	X
ejpam-5461	465	10	,	,	PUNCT
ejpam-5461	465	11	β∈e(h	β∈e(h	NOUN
ejpam-5461	465	12	)	)	PUNCT
ejpam-5461	465	13	√	√	PROPN
ejpam-5461	465	14	(	(	PUNCT
ejpam-5461	465	15	ıϖ(α)τdh(α))2	ıϖ(α)τdh(α))2	PROPN
ejpam-5461	465	16	+	+	CCONJ
ejpam-5461	465	17	(	(	PUNCT
ejpam-5461	465	18	ıϖ(β)ıdh(β))2	ıϖ(β)ıdh(β))2	X
ejpam-5461	465	19	=	=	PUNCT
ejpam-5461	465	20	√	√	PROPN
ejpam-5461	465	21	(	(	PUNCT
ejpam-5461	465	22	ıϖ(a)ıdh(a))2	ıϖ(a)ıdh(a))2	PROPN
ejpam-5461	465	23	+	+	CCONJ
ejpam-5461	465	24	(	(	PUNCT
ejpam-5461	465	25	ıϖ(b)ıdh(b))2	ıϖ(b)ıdh(b))2	X
ejpam-5461	465	26	+	+	CCONJ
ejpam-5461	465	27	√	√	PROPN
ejpam-5461	465	28	(	(	PUNCT
ejpam-5461	465	29	ıϖ(b)ıdh(b))2	ıϖ(b)ıdh(b))2	X
ejpam-5461	465	30	+	+	CCONJ
ejpam-5461	465	31	(	(	PUNCT
ejpam-5461	465	32	ıϖ(e)ıdh(e))2	ıϖ(e)ıdh(e))2	NOUN
ejpam-5461	465	33	+	+	CCONJ
ejpam-5461	465	34	√	√	VERB
ejpam-5461	465	35	(	(	PUNCT
ejpam-5461	465	36	ıϖ(e)ıdh(e))2	ıϖ(e)ıdh(e))2	NOUN
ejpam-5461	465	37	+	+	CCONJ
ejpam-5461	465	38	(	(	PUNCT
ejpam-5461	465	39	ıϖ(d)ıdh(d))2	ıϖ(d)ıdh(d))2	NOUN
ejpam-5461	465	40	+	+	CCONJ
ejpam-5461	465	41	√	√	PROPN
ejpam-5461	465	42	(	(	PUNCT
ejpam-5461	465	43	ıϖ(d)ıdh(d))2	ıϖ(d)ıdh(d))2	PROPN
ejpam-5461	465	44	+	+	CCONJ
ejpam-5461	466	1	(	(	PUNCT
ejpam-5461	466	2	ıϖ(c)ıdh(c))2	ıϖ(c)ıdh(c))2	NOUN
ejpam-5461	466	3	isoi(g	isoi(g	PROPN
ejpam-5461	466	4	)	)	PUNCT
ejpam-5461	466	5	=	=	SYM
ejpam-5461	467	1	√	√	NUM
ejpam-5461	467	2	(	(	PUNCT
ejpam-5461	467	3	(	(	PUNCT
ejpam-5461	467	4	0.6)(0.4))2	0.6)(0.4))2	X
ejpam-5461	467	5	+	+	CCONJ
ejpam-5461	467	6	(	(	PUNCT
ejpam-5461	467	7	(	(	PUNCT
ejpam-5461	467	8	0.5)(0.9))2	0.5)(0.9))2	NUM
ejpam-5461	467	9	+	+	CCONJ
ejpam-5461	467	10	√	√	NUM
ejpam-5461	467	11	(	(	PUNCT
ejpam-5461	467	12	(	(	PUNCT
ejpam-5461	467	13	0.5)(0.9))2	0.5)(0.9))2	NUM
ejpam-5461	467	14	+	+	CCONJ
ejpam-5461	467	15	(	(	PUNCT
ejpam-5461	467	16	(	(	PUNCT
ejpam-5461	467	17	0.7)(0.9))2	0.7)(0.9))2	NUM
ejpam-5461	467	18	+	+	CCONJ
ejpam-5461	467	19	√	√	NUM
ejpam-5461	467	20	(	(	PUNCT
ejpam-5461	467	21	(	(	PUNCT
ejpam-5461	467	22	0.7)(0.9))2	0.7)(0.9))2	NUM
ejpam-5461	467	23	+	+	CCONJ
ejpam-5461	467	24	(	(	PUNCT
ejpam-5461	467	25	(	(	PUNCT
ejpam-5461	467	26	0.4)(0.7))2	0.4)(0.7))2	NUM
ejpam-5461	467	27	+	+	CCONJ
ejpam-5461	467	28	√	√	VERB
ejpam-5461	467	29	(	(	PUNCT
ejpam-5461	467	30	(	(	PUNCT
ejpam-5461	467	31	0.4)(0.7))2	0.4)(0.7))2	NUM
ejpam-5461	467	32	+	+	CCONJ
ejpam-5461	467	33	(	(	PUNCT
ejpam-5461	467	34	(	(	PUNCT
ejpam-5461	467	35	0.4)(0.3))2	0.4)(0.3))2	X
ejpam-5461	467	36	=	=	PUNCT
ejpam-5461	467	37	0.51	0.51	NUM
ejpam-5461	467	38	+	+	NUM
ejpam-5461	467	39	0.774	0.774	NUM
ejpam-5461	467	40	+	+	CCONJ
ejpam-5461	467	41	0.689	0.689	NUM
ejpam-5461	467	42	+	+	NOUN
ejpam-5461	467	43	0.3046	0.3046	NUM
ejpam-5461	467	44	isoi(g	isoi(g	NOUN
ejpam-5461	467	45	)	)	PUNCT
ejpam-5461	467	46	=	=	SYM
ejpam-5461	468	1	2.2776	2.2776	NUM
ejpam-5461	468	2	(	(	PUNCT
ejpam-5461	468	3	3.37	3.37	NUM
ejpam-5461	468	4	)	)	PUNCT
ejpam-5461	468	5	fsoi(g	fsoi(g	NOUN
ejpam-5461	468	6	)	)	PUNCT
ejpam-5461	469	1	=	=	PUNCT
ejpam-5461	469	2	∑	∑	PUNCT
ejpam-5461	469	3	α	α	X
ejpam-5461	469	4	,	,	PUNCT
ejpam-5461	469	5	β∈e(h	β∈e(h	NOUN
ejpam-5461	469	6	)	)	PUNCT
ejpam-5461	470	1	√	√	NOUN
ejpam-5461	470	2	(	(	PUNCT
ejpam-5461	470	3	𭟋ϖ(α)τdh(α))2	𭟋ϖ(α)τdh(α))2	PROPN
ejpam-5461	470	4	+	+	CCONJ
ejpam-5461	470	5	(	(	PUNCT
ejpam-5461	470	6	𭟋ϖ(β)𭟋dh(β))2	𭟋ϖ(β)𭟋dh(β))2	X
ejpam-5461	470	7	=	=	PUNCT
ejpam-5461	470	8	√	√	PROPN
ejpam-5461	470	9	(	(	PUNCT
ejpam-5461	470	10	𭟋ϖ(a)𭟋dh(a))2	𭟋ϖ(a)𭟋dh(a))2	X
ejpam-5461	470	11	+	+	CCONJ
ejpam-5461	470	12	(	(	PUNCT
ejpam-5461	470	13	𭟋ϖ(b)𭟋dh(b))2	𭟋ϖ(b)𭟋dh(b))2	X
ejpam-5461	470	14	+	+	NOUN
ejpam-5461	470	15	√	√	PROPN
ejpam-5461	470	16	(	(	PUNCT
ejpam-5461	470	17	𭟋ϖ(b)𭟋dh(b))2	𭟋ϖ(b)𭟋dh(b))2	X
ejpam-5461	470	18	+	+	CCONJ
ejpam-5461	470	19	(	(	PUNCT
ejpam-5461	470	20	𭟋ϖ(e)𭟋dh(e))2	𭟋ϖ(e)𭟋dh(e))2	NOUN
ejpam-5461	470	21	+	+	CCONJ
ejpam-5461	470	22	√	√	PROPN
ejpam-5461	470	23	(	(	PUNCT
ejpam-5461	470	24	𭟋ϖ(e)𭟋dh(e))2	𭟋ϖ(e)𭟋dh(e))2	PROPN
ejpam-5461	470	25	+	+	CCONJ
ejpam-5461	470	26	(	(	PUNCT
ejpam-5461	470	27	𭟋ϖ(d)𭟋dh(d))2	𭟋ϖ(d)𭟋dh(d))2	X
ejpam-5461	470	28	+	+	CCONJ
ejpam-5461	470	29	√	√	PROPN
ejpam-5461	470	30	(	(	PUNCT
ejpam-5461	470	31	𭟋ϖ(d)𭟋dh(d))2	𭟋ϖ(d)𭟋dh(d))2	X
ejpam-5461	470	32	+	+	CCONJ
ejpam-5461	470	33	(	(	PUNCT
ejpam-5461	470	34	𭟋ϖ(c)𭟋dh(c))2	𭟋ϖ(c)𭟋dh(c))2	PROPN
ejpam-5461	470	35	m.	m.	NOUN
ejpam-5461	470	36	alqahtani	alqahtani	PROPN
ejpam-5461	470	37	,	,	PUNCT
ejpam-5461	470	38	m.	m.	NOUN
ejpam-5461	470	39	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	470	40	,	,	PUNCT
ejpam-5461	470	41	m.	m.	NOUN
ejpam-5461	470	42	rajeshwari	rajeshwari	PROPN
ejpam-5461	470	43	/	/	SYM
ejpam-5461	470	44	eur	eur	PROPN
ejpam-5461	470	45	.	.	PUNCT
ejpam-5461	471	1	j.	j.	PROPN
ejpam-5461	471	2	pure	pure	PROPN
ejpam-5461	471	3	appl	appl	PROPN
ejpam-5461	471	4	.	.	PROPN
ejpam-5461	471	5	math	math	PROPN
ejpam-5461	471	6	,	,	PUNCT
ejpam-5461	471	7	17	17	NUM
ejpam-5461	471	8	(	(	PUNCT
ejpam-5461	471	9	4	4	NUM
ejpam-5461	471	10	)	)	PUNCT
ejpam-5461	471	11	(	(	PUNCT
ejpam-5461	471	12	2024	2024	NUM
ejpam-5461	471	13	)	)	PUNCT
ejpam-5461	471	14	,	,	PUNCT
ejpam-5461	471	15	2586	2586	NUM
ejpam-5461	471	16	-	-	SYM
ejpam-5461	471	17	2620	2620	NUM
ejpam-5461	471	18	2607	2607	NUM
ejpam-5461	471	19	fsoi(g	fsoi(g	NOUN
ejpam-5461	471	20	)	)	PUNCT
ejpam-5461	472	1	=	=	SYM
ejpam-5461	473	1	√	√	NUM
ejpam-5461	473	2	(	(	PUNCT
ejpam-5461	473	3	(	(	PUNCT
ejpam-5461	473	4	0.4)(0.5))2	0.4)(0.5))2	NUM
ejpam-5461	473	5	+	+	CCONJ
ejpam-5461	473	6	(	(	PUNCT
ejpam-5461	473	7	(	(	PUNCT
ejpam-5461	473	8	0.4)(1.0))2	0.4)(1.0))2	NOUN
ejpam-5461	473	9	+	+	CCONJ
ejpam-5461	473	10	√	√	PROPN
ejpam-5461	473	11	(	(	PUNCT
ejpam-5461	473	12	(	(	PUNCT
ejpam-5461	473	13	0.4)(1.0))2	0.4)(1.0))2	NOUN
ejpam-5461	473	14	+	+	CCONJ
ejpam-5461	473	15	(	(	PUNCT
ejpam-5461	473	16	(	(	PUNCT
ejpam-5461	473	17	0.4)(1))2	0.4)(1))2	NUM
ejpam-5461	473	18	+	+	CCONJ
ejpam-5461	473	19	√	√	PROPN
ejpam-5461	473	20	(	(	PUNCT
ejpam-5461	473	21	(	(	PUNCT
ejpam-5461	473	22	0.4)(1))2	0.4)(1))2	NOUN
ejpam-5461	473	23	+	+	CCONJ
ejpam-5461	473	24	(	(	PUNCT
ejpam-5461	473	25	(	(	PUNCT
ejpam-5461	473	26	0.3)(1))2	0.3)(1))2	NUM
ejpam-5461	473	27	+	+	NOUN
ejpam-5461	473	28	√	√	NUM
ejpam-5461	473	29	(	(	PUNCT
ejpam-5461	473	30	(	(	PUNCT
ejpam-5461	473	31	0.3)(1))2	0.3)(1))2	NOUN
ejpam-5461	473	32	+	+	CCONJ
ejpam-5461	473	33	(	(	PUNCT
ejpam-5461	473	34	(	(	PUNCT
ejpam-5461	473	35	0.3)(0.5))2	0.3)(0.5))2	NUM
ejpam-5461	473	36	=	=	PUNCT
ejpam-5461	473	37	0.447	0.447	NUM
ejpam-5461	473	38	+	+	NOUN
ejpam-5461	473	39	0.565	0.565	NUM
ejpam-5461	473	40	+	+	NUM
ejpam-5461	473	41	0.5	0.5	NUM
ejpam-5461	473	42	+	+	CCONJ
ejpam-5461	473	43	0.334	0.334	NUM
ejpam-5461	473	44	fsoi(g	fsoi(g	NOUN
ejpam-5461	473	45	)	)	PUNCT
ejpam-5461	474	1	=	=	SYM
ejpam-5461	474	2	1.846	1.846	NUM
ejpam-5461	474	3	(	(	PUNCT
ejpam-5461	474	4	3.38	3.38	NUM
ejpam-5461	474	5	)	)	PUNCT
ejpam-5461	474	6	substitute	substitute	NOUN
ejpam-5461	474	7	(	(	PUNCT
ejpam-5461	474	8	3.36	3.36	NUM
ejpam-5461	474	9	)	)	PUNCT
ejpam-5461	474	10	,	,	PUNCT
ejpam-5461	474	11	(	(	PUNCT
ejpam-5461	474	12	3.37	3.37	NUM
ejpam-5461	474	13	)	)	PUNCT
ejpam-5461	474	14	and	and	CCONJ
ejpam-5461	474	15	(	(	PUNCT
ejpam-5461	474	16	3.38	3.38	NUM
ejpam-5461	474	17	)	)	PUNCT
ejpam-5461	474	18	in	in	ADP
ejpam-5461	474	19	(	(	PUNCT
ejpam-5461	474	20	3.35	3.35	NUM
ejpam-5461	474	21	)	)	PUNCT
ejpam-5461	474	22	,	,	PUNCT
ejpam-5461	474	23	we	we	PRON
ejpam-5461	474	24	get	get	VERB
ejpam-5461	474	25	nzi(g	nzi(g	ADV
ejpam-5461	474	26	)	)	PUNCT
ejpam-5461	475	1	=	=	NOUN
ejpam-5461	476	1	3.4504	3.4504	NUM
ejpam-5461	476	2	+	+	NUM
ejpam-5461	476	3	2.2776	2.2776	NUM
ejpam-5461	476	4	+	+	CCONJ
ejpam-5461	476	5	1.846	1.846	NUM
ejpam-5461	476	6	nzi(g	nzi(g	NOUN
ejpam-5461	476	7	)	)	PUNCT
ejpam-5461	476	8	=	=	PUNCT
ejpam-5461	476	9	7.574	7.574	NUM
ejpam-5461	476	10	.	.	PUNCT
ejpam-5461	477	1	thus	thus	ADV
ejpam-5461	477	2	clearly	clearly	ADV
ejpam-5461	477	3	nsoi(g	nsoi(g	PROPN
ejpam-5461	477	4	)	)	PUNCT
ejpam-5461	477	5	>	>	PUNCT
ejpam-5461	478	1	nsoi(g)−	nsoi(g)−	PROPN
ejpam-5461	478	2	e.	e.	PROPN
ejpam-5461	478	3	figure	figure	NOUN
ejpam-5461	478	4	4	4	NUM
ejpam-5461	478	5	:	:	PUNCT
ejpam-5461	478	6	neutrosophic	neutrosophic	ADJ
ejpam-5461	478	7	graph	graph	NOUN
ejpam-5461	478	8	g	g	PROPN
ejpam-5461	478	9	−	−	PROPN
ejpam-5461	478	10	{	{	PUNCT
ejpam-5461	478	11	bc	bc	PROPN
ejpam-5461	478	12	}	}	PUNCT
ejpam-5461	478	13	theorem	theorem	VERB
ejpam-5461	478	14	6	6	NUM
ejpam-5461	478	15	.	.	PUNCT
ejpam-5461	479	1	let	let	VERB
ejpam-5461	479	2	g	g	PROPN
ejpam-5461	479	3	=	=	SYM
ejpam-5461	479	4	(	(	PUNCT
ejpam-5461	479	5	v	v	NOUN
ejpam-5461	479	6	,	,	PUNCT
ejpam-5461	479	7	ϖ	ϖ	PROPN
ejpam-5461	479	8	,	,	PUNCT
ejpam-5461	479	9	ρ	ρ	NOUN
ejpam-5461	479	10	)	)	PUNCT
ejpam-5461	479	11	be	be	VERB
ejpam-5461	479	12	a	a	DET
ejpam-5461	479	13	n	n	NUM
ejpam-5461	479	14	-	-	PUNCT
ejpam-5461	479	15	vertex	vertex	NOUN
ejpam-5461	479	16	neutrosophic	neutrosophic	ADJ
ejpam-5461	479	17	graph	graph	NOUN
ejpam-5461	479	18	.	.	PUNCT
ejpam-5461	480	1	then	then	ADV
ejpam-5461	480	2	nsoi(g	nsoi(g	PROPN
ejpam-5461	480	3	)	)	PUNCT
ejpam-5461	480	4	≥	≥	NOUN
ejpam-5461	480	5	nsoi(g	nsoi(g	ADP
ejpam-5461	480	6	−	−	PROPN
ejpam-5461	480	7	β	β	NOUN
ejpam-5461	480	8	)	)	PUNCT
ejpam-5461	480	9	,	,	PUNCT
ejpam-5461	480	10	where	where	SCONJ
ejpam-5461	480	11	β	β	X
ejpam-5461	480	12	∈	∈	PROPN
ejpam-5461	480	13	v(g	v(g	PROPN
ejpam-5461	480	14	)	)	PUNCT
ejpam-5461	480	15	.	.	PUNCT
ejpam-5461	481	1	proof	proof	NOUN
ejpam-5461	481	2	.	.	PUNCT
ejpam-5461	482	1	let	let	VERB
ejpam-5461	482	2	g	g	PROPN
ejpam-5461	482	3	=	=	SYM
ejpam-5461	482	4	(	(	PUNCT
ejpam-5461	482	5	v	v	NOUN
ejpam-5461	482	6	,	,	PUNCT
ejpam-5461	482	7	ϖ	ϖ	PROPN
ejpam-5461	482	8	,	,	PUNCT
ejpam-5461	482	9	ρ	ρ	NOUN
ejpam-5461	482	10	)	)	PUNCT
ejpam-5461	482	11	be	be	VERB
ejpam-5461	482	12	a	a	DET
ejpam-5461	482	13	ng	ng	PROPN
ejpam-5461	482	14	and	and	CCONJ
ejpam-5461	482	15	h	h	NOUN
ejpam-5461	483	1	=	=	NOUN
ejpam-5461	483	2	g	g	PROPN
ejpam-5461	483	3	−	−	PROPN
ejpam-5461	483	4	β	β	X
ejpam-5461	483	5	is	be	AUX
ejpam-5461	483	6	a	a	DET
ejpam-5461	483	7	graph	graph	NOUN
ejpam-5461	483	8	obtained	obtain	VERB
ejpam-5461	483	9	by	by	ADP
ejpam-5461	483	10	removing	remove	VERB
ejpam-5461	483	11	an	an	DET
ejpam-5461	483	12	edge	edge	NOUN
ejpam-5461	483	13	β	β	X
ejpam-5461	483	14	∈	∈	NOUN
ejpam-5461	483	15	v(g	v(g	NOUN
ejpam-5461	483	16	)	)	PUNCT
ejpam-5461	483	17	.	.	PUNCT
ejpam-5461	484	1	the	the	DET
ejpam-5461	484	2	mvs	mvs	PROPN
ejpam-5461	484	3	in	in	ADP
ejpam-5461	484	4	g	g	PROPN
ejpam-5461	484	5	and	and	CCONJ
ejpam-5461	484	6	h	h	NOUN
ejpam-5461	484	7	are	be	AUX
ejpam-5461	484	8	given	give	VERB
ejpam-5461	484	9	by	by	ADP
ejpam-5461	484	10	the	the	DET
ejpam-5461	484	11	relationship	relationship	NOUN
ejpam-5461	484	12	.	.	PUNCT
ejpam-5461	485	1	τϖg(β	τϖg(β	PROPN
ejpam-5461	485	2	)	)	PUNCT
ejpam-5461	485	3	≥	≥	NOUN
ejpam-5461	485	4	τϖh(β	τϖh(β	NUM
ejpam-5461	485	5	)	)	PUNCT
ejpam-5461	485	6	,	,	PUNCT
ejpam-5461	485	7	ıϖg(β	ıϖg(β	PROPN
ejpam-5461	485	8	)	)	PUNCT
ejpam-5461	485	9	≥	≥	NOUN
ejpam-5461	485	10	ıϖh(β	ıϖh(β	NOUN
ejpam-5461	485	11	)	)	PUNCT
ejpam-5461	485	12	and𭟋ϖg(β	and𭟋ϖg(β	NOUN
ejpam-5461	485	13	)	)	PUNCT
ejpam-5461	485	14	≥	≥	X
ejpam-5461	485	15	𭟋ϖh(β	𭟋ϖh(β	X
ejpam-5461	485	16	)	)	PUNCT
ejpam-5461	485	17	and	and	CCONJ
ejpam-5461	485	18	τρg(ϱ	τρg(ϱ	PROPN
ejpam-5461	485	19	)	)	PUNCT
ejpam-5461	485	20	≥	≥	NOUN
ejpam-5461	485	21	τρh(ϱ	τρh(ϱ	NUM
ejpam-5461	485	22	)	)	PUNCT
ejpam-5461	485	23	,	,	PUNCT
ejpam-5461	485	24	ıρg(ϱ	ıρg(ϱ	PROPN
ejpam-5461	485	25	)	)	PUNCT
ejpam-5461	485	26	≥	≥	NOUN
ejpam-5461	485	27	ıρh(ϱ	ıρh(ϱ	SYM
ejpam-5461	485	28	)	)	PUNCT
ejpam-5461	485	29	and	and	CCONJ
ejpam-5461	485	30	𭟋ρg(ϱ	𭟋ρg(ϱ	NUM
ejpam-5461	485	31	)	)	PUNCT
ejpam-5461	485	32	≥	≥	NOUN
ejpam-5461	485	33	𭟋ρh(ϱ	𭟋ρh(ϱ	ADJ
ejpam-5461	485	34	)	)	PUNCT
ejpam-5461	485	35	.	.	PUNCT
ejpam-5461	486	1	now	now	ADV
ejpam-5461	486	2	,	,	PUNCT
ejpam-5461	486	3	this	this	PRON
ejpam-5461	486	4	show	show	VERB
ejpam-5461	486	5	that	that	SCONJ
ejpam-5461	486	6	dg(β	dg(β	NOUN
ejpam-5461	486	7	)	)	PUNCT
ejpam-5461	486	8	≥	≥	NOUN
ejpam-5461	486	9	dh(β	dh(β	NOUN
ejpam-5461	486	10	)	)	PUNCT
ejpam-5461	486	11	and	and	CCONJ
ejpam-5461	486	12	dg(ρ	dg(ρ	NOUN
ejpam-5461	486	13	)	)	PUNCT
ejpam-5461	486	14	≥	≥	NOUN
ejpam-5461	486	15	dh(ρ	dh(ρ	NUM
ejpam-5461	486	16	)	)	PUNCT
ejpam-5461	486	17	nsoi(g	nsoi(g	PROPN
ejpam-5461	486	18	)	)	PUNCT
ejpam-5461	486	19	=	=	SYM
ejpam-5461	486	20	tsoi(h	tsoi(h	PROPN
ejpam-5461	486	21	)	)	PUNCT
ejpam-5461	486	22	+	+	NUM
ejpam-5461	486	23	isoi(h	isoi(h	NOUN
ejpam-5461	486	24	)	)	PUNCT
ejpam-5461	487	1	+	+	NUM
ejpam-5461	487	2	fsoi(h	fsoi(h	NOUN
ejpam-5461	487	3	)	)	PUNCT
ejpam-5461	487	4	(	(	PUNCT
ejpam-5461	487	5	3.39	3.39	NUM
ejpam-5461	487	6	)	)	PUNCT
ejpam-5461	487	7	tsoi(g	tsoi(g	PROPN
ejpam-5461	487	8	)	)	PUNCT
ejpam-5461	487	9	=	=	SYM
ejpam-5461	487	10	∑	∑	PUNCT
ejpam-5461	487	11	α	α	X
ejpam-5461	487	12	,	,	PUNCT
ejpam-5461	487	13	β∈e(g	β∈e(g	PROPN
ejpam-5461	487	14	)	)	PUNCT
ejpam-5461	487	15	√	√	PROPN
ejpam-5461	487	16	(	(	PUNCT
ejpam-5461	487	17	τϖ(α)τdh(α))2	τϖ(α)τdh(α))2	X
ejpam-5461	487	18	+	+	CCONJ
ejpam-5461	487	19	(	(	PUNCT
ejpam-5461	487	20	τϖ(β)τdh(β))2	τϖ(β)τdh(β))2	X
ejpam-5461	487	21	≥	≥	NUM
ejpam-5461	487	22	∑	∑	NOUN
ejpam-5461	487	23	α	α	X
ejpam-5461	487	24	,	,	PUNCT
ejpam-5461	487	25	β∈e(h	β∈e(h	NOUN
ejpam-5461	487	26	)	)	PUNCT
ejpam-5461	487	27	√	√	INTJ
ejpam-5461	487	28	(	(	PUNCT
ejpam-5461	487	29	τϖ(α)τdh(α))2	τϖ(α)τdh(α))2	X
ejpam-5461	488	1	+	+	CCONJ
ejpam-5461	488	2	(	(	PUNCT
ejpam-5461	488	3	τϖ(β)τdh(β))2	τϖ(β)τdh(β))2	X
ejpam-5461	488	4	=	=	SYM
ejpam-5461	488	5	tsoi(h	tsoi(h	PROPN
ejpam-5461	488	6	)	)	PUNCT
ejpam-5461	488	7	m.	m.	NOUN
ejpam-5461	488	8	alqahtani	alqahtani	PROPN
ejpam-5461	488	9	,	,	PUNCT
ejpam-5461	488	10	m.	m.	NOUN
ejpam-5461	488	11	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	488	12	,	,	PUNCT
ejpam-5461	488	13	m.	m.	NOUN
ejpam-5461	488	14	rajeshwari	rajeshwari	PROPN
ejpam-5461	488	15	/	/	SYM
ejpam-5461	488	16	eur	eur	PROPN
ejpam-5461	488	17	.	.	PUNCT
ejpam-5461	489	1	j.	j.	PROPN
ejpam-5461	489	2	pure	pure	PROPN
ejpam-5461	489	3	appl	appl	PROPN
ejpam-5461	489	4	.	.	PROPN
ejpam-5461	489	5	math	math	PROPN
ejpam-5461	489	6	,	,	PUNCT
ejpam-5461	489	7	17	17	NUM
ejpam-5461	489	8	(	(	PUNCT
ejpam-5461	489	9	4	4	NUM
ejpam-5461	489	10	)	)	PUNCT
ejpam-5461	489	11	(	(	PUNCT
ejpam-5461	489	12	2024	2024	NUM
ejpam-5461	489	13	)	)	PUNCT
ejpam-5461	489	14	,	,	PUNCT
ejpam-5461	489	15	2586	2586	NUM
ejpam-5461	489	16	-	-	SYM
ejpam-5461	489	17	2620	2620	NUM
ejpam-5461	489	18	2608	2608	NUM
ejpam-5461	489	19	tsoi(g	tsoi(g	PROPN
ejpam-5461	489	20	)	)	PUNCT
ejpam-5461	489	21	=	=	PUNCT
ejpam-5461	490	1	tsoi(g	tsoi(g	ADP
ejpam-5461	490	2	−	−	PROPN
ejpam-5461	490	3	β	β	NOUN
ejpam-5461	490	4	)	)	PUNCT
ejpam-5461	490	5	(	(	PUNCT
ejpam-5461	490	6	3.40	3.40	NUM
ejpam-5461	490	7	)	)	PUNCT
ejpam-5461	490	8	isoi(g	isoi(g	PROPN
ejpam-5461	490	9	)	)	PUNCT
ejpam-5461	490	10	=	=	PUNCT
ejpam-5461	490	11	∑	∑	PUNCT
ejpam-5461	490	12	α	α	X
ejpam-5461	490	13	,	,	PUNCT
ejpam-5461	490	14	β∈e(g	β∈e(g	PROPN
ejpam-5461	490	15	)	)	PUNCT
ejpam-5461	490	16	√	√	PROPN
ejpam-5461	491	1	(	(	PUNCT
ejpam-5461	491	2	ıϖ(α)ıdh(α))2	ıϖ(α)ıdh(α))2	NOUN
ejpam-5461	491	3	+	+	CCONJ
ejpam-5461	491	4	(	(	PUNCT
ejpam-5461	491	5	ıϖ(β)ıdh(β))2	ıϖ(β)ıdh(β))2	X
ejpam-5461	491	6	≥	≥	NUM
ejpam-5461	491	7	∑	∑	NOUN
ejpam-5461	491	8	α	α	X
ejpam-5461	491	9	,	,	PUNCT
ejpam-5461	491	10	β∈e(h	β∈e(h	NOUN
ejpam-5461	491	11	)	)	PUNCT
ejpam-5461	491	12	√	√	PROPN
ejpam-5461	491	13	(	(	PUNCT
ejpam-5461	491	14	ıϖ(α)ıdh(α))2	ıϖ(α)ıdh(α))2	NOUN
ejpam-5461	491	15	+	+	CCONJ
ejpam-5461	491	16	(	(	PUNCT
ejpam-5461	491	17	ıϖ(β)ıdh(β))2	ıϖ(β)ıdh(β))2	PROPN
ejpam-5461	491	18	=	=	SYM
ejpam-5461	491	19	isoi(h	isoi(h	PROPN
ejpam-5461	491	20	)	)	PUNCT
ejpam-5461	491	21	isoi(g	isoi(g	PROPN
ejpam-5461	491	22	)	)	PUNCT
ejpam-5461	492	1	=	=	SYM
ejpam-5461	492	2	isoi(g	isoi(g	ADP
ejpam-5461	492	3	−	−	NOUN
ejpam-5461	492	4	β	β	NOUN
ejpam-5461	492	5	)	)	PUNCT
ejpam-5461	492	6	(	(	PUNCT
ejpam-5461	492	7	3.41	3.41	NUM
ejpam-5461	492	8	)	)	PUNCT
ejpam-5461	492	9	fsoi(g	fsoi(g	NOUN
ejpam-5461	492	10	)	)	PUNCT
ejpam-5461	493	1	=	=	PUNCT
ejpam-5461	493	2	∑	∑	PUNCT
ejpam-5461	493	3	α	α	X
ejpam-5461	493	4	,	,	PUNCT
ejpam-5461	493	5	β∈e(g	β∈e(g	PROPN
ejpam-5461	493	6	)	)	PUNCT
ejpam-5461	493	7	√	√	PROPN
ejpam-5461	494	1	(	(	PUNCT
ejpam-5461	494	2	𭟋ϖ(α)𭟋dh(α))2	𭟋ϖ(α)𭟋dh(α))2	PROPN
ejpam-5461	494	3	+	+	CCONJ
ejpam-5461	494	4	(	(	PUNCT
ejpam-5461	494	5	𭟋ϖ(β)𭟋dh(β))2	𭟋ϖ(β)𭟋dh(β))2	X
ejpam-5461	494	6	≥	≥	NUM
ejpam-5461	494	7	∑	∑	PROPN
ejpam-5461	494	8	α	α	X
ejpam-5461	494	9	,	,	PUNCT
ejpam-5461	494	10	β∈e(h	β∈e(h	NOUN
ejpam-5461	494	11	)	)	PUNCT
ejpam-5461	494	12	√	√	PROPN
ejpam-5461	494	13	(	(	PUNCT
ejpam-5461	494	14	𭟋ϖ(α)𭟋dh(α))2	𭟋ϖ(α)𭟋dh(α))2	PROPN
ejpam-5461	494	15	+	+	CCONJ
ejpam-5461	494	16	(	(	PUNCT
ejpam-5461	494	17	𭟋ϖ(β)𭟋dh(β))2	𭟋ϖ(β)𭟋dh(β))2	PROPN
ejpam-5461	494	18	=	=	SYM
ejpam-5461	494	19	fsoi(h	fsoi(h	PROPN
ejpam-5461	494	20	)	)	PUNCT
ejpam-5461	494	21	fsoi(g	fsoi(g	PROPN
ejpam-5461	494	22	)	)	PUNCT
ejpam-5461	495	1	=	=	SYM
ejpam-5461	496	1	fsoi(g	fsoi(g	ADP
ejpam-5461	496	2	−	−	NOUN
ejpam-5461	496	3	β	β	NOUN
ejpam-5461	496	4	)	)	PUNCT
ejpam-5461	496	5	(	(	PUNCT
ejpam-5461	496	6	3.42	3.42	NUM
ejpam-5461	496	7	)	)	PUNCT
ejpam-5461	496	8	substitute	substitute	NOUN
ejpam-5461	496	9	(	(	PUNCT
ejpam-5461	496	10	3.40	3.40	NUM
ejpam-5461	496	11	)	)	PUNCT
ejpam-5461	496	12	,	,	PUNCT
ejpam-5461	496	13	(	(	PUNCT
ejpam-5461	496	14	3.41	3.41	NUM
ejpam-5461	496	15	)	)	PUNCT
ejpam-5461	496	16	and	and	CCONJ
ejpam-5461	496	17	(	(	PUNCT
ejpam-5461	496	18	3.42	3.42	NUM
ejpam-5461	496	19	)	)	PUNCT
ejpam-5461	496	20	in	in	ADP
ejpam-5461	496	21	(	(	PUNCT
ejpam-5461	496	22	3.39	3.39	NUM
ejpam-5461	496	23	)	)	PUNCT
ejpam-5461	496	24	,	,	PUNCT
ejpam-5461	496	25	we	we	PRON
ejpam-5461	496	26	get	get	VERB
ejpam-5461	496	27	nsoi(g	nsoi(g	ADV
ejpam-5461	496	28	)	)	PUNCT
ejpam-5461	496	29	=	=	PUNCT
ejpam-5461	497	1	tsoi(g	tsoi(g	ADP
ejpam-5461	497	2	−	−	NOUN
ejpam-5461	497	3	β	β	NOUN
ejpam-5461	497	4	)	)	PUNCT
ejpam-5461	498	1	+	+	CCONJ
ejpam-5461	498	2	isoi(g	isoi(g	ADP
ejpam-5461	498	3	−	−	NOUN
ejpam-5461	498	4	β	β	NOUN
ejpam-5461	498	5	)	)	PUNCT
ejpam-5461	499	1	+	+	CCONJ
ejpam-5461	499	2	fsoi(g	fsoi(g	ADP
ejpam-5461	499	3	−	−	NOUN
ejpam-5461	499	4	β	β	NOUN
ejpam-5461	499	5	)	)	PUNCT
ejpam-5461	499	6	nsoi(g	nsoi(g	PROPN
ejpam-5461	499	7	)	)	PUNCT
ejpam-5461	499	8	>	>	X
ejpam-5461	500	1	nsoi(g	nsoi(g	ADP
ejpam-5461	500	2	−	−	PROPN
ejpam-5461	500	3	β	β	NOUN
ejpam-5461	500	4	)	)	PUNCT
ejpam-5461	500	5	thus	thus	ADV
ejpam-5461	500	6	clearly	clearly	ADV
ejpam-5461	500	7	nsoi(g	nsoi(g	ADP
ejpam-5461	500	8	)	)	PUNCT
ejpam-5461	500	9	>	>	X
ejpam-5461	501	1	nsoi(g	nsoi(g	ADP
ejpam-5461	501	2	−	−	PROPN
ejpam-5461	501	3	β	β	NOUN
ejpam-5461	501	4	)	)	PUNCT
ejpam-5461	501	5	.	.	PUNCT
ejpam-5461	502	1	example	example	NOUN
ejpam-5461	503	1	4	4	X
ejpam-5461	503	2	.	.	PUNCT
ejpam-5461	503	3	let	let	VERB
ejpam-5461	503	4	h	h	NOUN
ejpam-5461	503	5	=	=	PUNCT
ejpam-5461	503	6	g	g	NOUN
ejpam-5461	503	7	−	−	PROPN
ejpam-5461	504	1	{	{	PUNCT
ejpam-5461	504	2	d	d	AUX
ejpam-5461	504	3	}	}	PUNCT
ejpam-5461	504	4	be	be	AUX
ejpam-5461	504	5	a	a	DET
ejpam-5461	504	6	ng	ng	PROPN
ejpam-5461	504	7	obtained	obtain	VERB
ejpam-5461	504	8	by	by	ADP
ejpam-5461	504	9	removing	remove	VERB
ejpam-5461	504	10	a	a	DET
ejpam-5461	504	11	vertex	vertex	NOUN
ejpam-5461	504	12	d	d	NOUN
ejpam-5461	504	13	from	from	ADP
ejpam-5461	504	14	figure	figure	NOUN
ejpam-5461	504	15	4	4	NUM
ejpam-5461	504	16	.	.	PUNCT
ejpam-5461	505	1	clearly	clearly	ADV
ejpam-5461	505	2	,	,	PUNCT
ejpam-5461	505	3	the	the	DET
ejpam-5461	505	4	memberships	membership	NOUN
ejpam-5461	505	5	values	value	NOUN
ejpam-5461	505	6	of	of	ADP
ejpam-5461	505	7	h	h	NOUN
ejpam-5461	505	8	remains	remain	VERB
ejpam-5461	505	9	same	same	ADJ
ejpam-5461	505	10	for	for	ADP
ejpam-5461	505	11	the	the	DET
ejpam-5461	505	12	vertices	vertex	NOUN
ejpam-5461	505	13	and	and	CCONJ
ejpam-5461	505	14	there	there	PRON
ejpam-5461	505	15	is	be	VERB
ejpam-5461	505	16	a	a	DET
ejpam-5461	505	17	change	change	NOUN
ejpam-5461	505	18	in	in	ADP
ejpam-5461	505	19	degree	degree	NOUN
ejpam-5461	505	20	of	of	ADP
ejpam-5461	505	21	vertices	vertex	NOUN
ejpam-5461	505	22	e	e	NOUN
ejpam-5461	505	23	and	and	CCONJ
ejpam-5461	505	24	c.	c.	PROPN
ejpam-5461	505	25	then	then	ADV
ejpam-5461	505	26	dh(c	dh(c	PROPN
ejpam-5461	505	27	)	)	PUNCT
ejpam-5461	505	28	=	=	PUNCT
ejpam-5461	505	29	(	(	PUNCT
ejpam-5461	505	30	0.4	0.4	NUM
ejpam-5461	505	31	,	,	PUNCT
ejpam-5461	505	32	0.4	0.4	NUM
ejpam-5461	505	33	,	,	PUNCT
ejpam-5461	505	34	0.5	0.5	NUM
ejpam-5461	505	35	)	)	PUNCT
ejpam-5461	505	36	and	and	CCONJ
ejpam-5461	505	37	dh(ϱ	dh(ϱ	NUM
ejpam-5461	505	38	)	)	PUNCT
ejpam-5461	505	39	=	=	SYM
ejpam-5461	505	40	(	(	PUNCT
ejpam-5461	505	41	0.6	0.6	NUM
ejpam-5461	505	42	,	,	PUNCT
ejpam-5461	505	43	0.7	0.7	NUM
ejpam-5461	505	44	,	,	PUNCT
ejpam-5461	505	45	0.4	0.4	NUM
ejpam-5461	505	46	)	)	PUNCT
ejpam-5461	505	47	.	.	PUNCT
ejpam-5461	506	1	nsoi(g	nsoi(g	X
ejpam-5461	506	2	)	)	PUNCT
ejpam-5461	507	1	=	=	SYM
ejpam-5461	507	2	tsoi(h	tsoi(h	PROPN
ejpam-5461	507	3	)	)	PUNCT
ejpam-5461	507	4	+	+	NUM
ejpam-5461	507	5	isoi(h	isoi(h	NOUN
ejpam-5461	507	6	)	)	PUNCT
ejpam-5461	508	1	+	+	NUM
ejpam-5461	508	2	fsoi(h	fsoi(h	NOUN
ejpam-5461	508	3	)	)	PUNCT
ejpam-5461	508	4	(	(	PUNCT
ejpam-5461	508	5	3.43	3.43	NUM
ejpam-5461	508	6	)	)	PUNCT
ejpam-5461	508	7	tsoi(h	tsoi(h	PROPN
ejpam-5461	508	8	)	)	PUNCT
ejpam-5461	508	9	=	=	SYM
ejpam-5461	509	1	√	√	PROPN
ejpam-5461	509	2	(	(	PUNCT
ejpam-5461	509	3	τϖ(a)τdh(a))2	τϖ(a)τdh(a))2	X
ejpam-5461	509	4	+	+	CCONJ
ejpam-5461	509	5	(	(	PUNCT
ejpam-5461	509	6	τϖ(b)τdh(b))2	τϖ(b)τdh(b))2	NOUN
ejpam-5461	509	7	+	+	CCONJ
ejpam-5461	509	8	√	√	INTJ
ejpam-5461	509	9	(	(	PUNCT
ejpam-5461	509	10	τϖ(b)τdh(b))2	τϖ(b)τdh(b))2	NOUN
ejpam-5461	509	11	+	+	CCONJ
ejpam-5461	509	12	(	(	PUNCT
ejpam-5461	509	13	τϖ(c)τdh(c))2	τϖ(c)τdh(c))2	PROPN
ejpam-5461	509	14	+	+	CCONJ
ejpam-5461	509	15	√	√	PROPN
ejpam-5461	509	16	(	(	PUNCT
ejpam-5461	509	17	τϖ(b)τdh(b))2	τϖ(b)τdh(b))2	X
ejpam-5461	509	18	+	+	CCONJ
ejpam-5461	509	19	(	(	PUNCT
ejpam-5461	509	20	τϖ(e)tdh(e))2	τϖ(e)tdh(e))2	NOUN
ejpam-5461	509	21	=	=	PUNCT
ejpam-5461	509	22	√	√	PROPN
ejpam-5461	509	23	(	(	PUNCT
ejpam-5461	509	24	(	(	PUNCT
ejpam-5461	509	25	0.7)(0.6))2	0.7)(0.6))2	NOUN
ejpam-5461	509	26	+	+	CCONJ
ejpam-5461	509	27	(	(	PUNCT
ejpam-5461	509	28	(	(	PUNCT
ejpam-5461	509	29	0.6)(1.6))2	0.6)(1.6))2	NUM
ejpam-5461	509	30	+	+	CCONJ
ejpam-5461	509	31	√	√	PROPN
ejpam-5461	509	32	(	(	PUNCT
ejpam-5461	509	33	(	(	PUNCT
ejpam-5461	509	34	0.6)(1.6))2	0.6)(1.6))2	NUM
ejpam-5461	509	35	+	+	CCONJ
ejpam-5461	509	36	(	(	PUNCT
ejpam-5461	509	37	(	(	PUNCT
ejpam-5461	509	38	0.6)(1.6))2	0.6)(1.6))2	NUM
ejpam-5461	509	39	+	+	CCONJ
ejpam-5461	509	40	√	√	PROPN
ejpam-5461	509	41	(	(	PUNCT
ejpam-5461	509	42	(	(	PUNCT
ejpam-5461	509	43	0.5)(0.4))2	0.5)(0.4))2	NOUN
ejpam-5461	509	44	+	+	CCONJ
ejpam-5461	509	45	(	(	PUNCT
ejpam-5461	509	46	(	(	PUNCT
ejpam-5461	509	47	0.8)(0.6))2	0.8)(0.6))2	NUM
ejpam-5461	509	48	=	=	NOUN
ejpam-5461	509	49	1.047	1.047	NUM
ejpam-5461	509	50	+	+	NUM
ejpam-5461	509	51	0.9806	0.9806	NUM
ejpam-5461	509	52	+	+	CCONJ
ejpam-5461	509	53	0.52	0.52	NUM
ejpam-5461	509	54	tsoi(h	tsoi(h	NOUN
ejpam-5461	509	55	)	)	PUNCT
ejpam-5461	509	56	=	=	PUNCT
ejpam-5461	509	57	2.5476	2.5476	NUM
ejpam-5461	509	58	(	(	PUNCT
ejpam-5461	509	59	3.44	3.44	NUM
ejpam-5461	509	60	)	)	PUNCT
ejpam-5461	509	61	m.	m.	NOUN
ejpam-5461	509	62	alqahtani	alqahtani	PROPN
ejpam-5461	509	63	,	,	PUNCT
ejpam-5461	509	64	m.	m.	NOUN
ejpam-5461	509	65	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	509	66	,	,	PUNCT
ejpam-5461	509	67	m.	m.	NOUN
ejpam-5461	509	68	rajeshwari	rajeshwari	PROPN
ejpam-5461	509	69	/	/	SYM
ejpam-5461	509	70	eur	eur	PROPN
ejpam-5461	509	71	.	.	PUNCT
ejpam-5461	510	1	j.	j.	PROPN
ejpam-5461	510	2	pure	pure	PROPN
ejpam-5461	510	3	appl	appl	PROPN
ejpam-5461	510	4	.	.	PROPN
ejpam-5461	510	5	math	math	PROPN
ejpam-5461	510	6	,	,	PUNCT
ejpam-5461	510	7	17	17	NUM
ejpam-5461	510	8	(	(	PUNCT
ejpam-5461	510	9	4	4	NUM
ejpam-5461	510	10	)	)	PUNCT
ejpam-5461	510	11	(	(	PUNCT
ejpam-5461	510	12	2024	2024	NUM
ejpam-5461	510	13	)	)	PUNCT
ejpam-5461	510	14	,	,	PUNCT
ejpam-5461	510	15	2586	2586	NUM
ejpam-5461	510	16	-	-	SYM
ejpam-5461	510	17	2620	2620	NUM
ejpam-5461	510	18	2609	2609	NUM
ejpam-5461	510	19	isoi(h	isoi(h	NOUN
ejpam-5461	510	20	)	)	PUNCT
ejpam-5461	510	21	=	=	PUNCT
ejpam-5461	511	1	√	√	PROPN
ejpam-5461	511	2	(	(	PUNCT
ejpam-5461	511	3	ıϖ(a)ıdh(a))2	ıϖ(a)ıdh(a))2	PROPN
ejpam-5461	511	4	+	+	CCONJ
ejpam-5461	511	5	(	(	PUNCT
ejpam-5461	511	6	ıϖ(b)ıdh(b))2	ıϖ(b)ıdh(b))2	X
ejpam-5461	511	7	+	+	CCONJ
ejpam-5461	511	8	√	√	PROPN
ejpam-5461	511	9	(	(	PUNCT
ejpam-5461	511	10	ıϖ(b)ıdh(b))2	ıϖ(b)ıdh(b))2	X
ejpam-5461	511	11	+	+	CCONJ
ejpam-5461	511	12	(	(	PUNCT
ejpam-5461	511	13	ıϖ(c)ıdh(c))2	ıϖ(c)ıdh(c))2	X
ejpam-5461	511	14	+	+	CCONJ
ejpam-5461	511	15	√	√	VERB
ejpam-5461	511	16	(	(	PUNCT
ejpam-5461	511	17	ıϖ(b)ıdh(b))2	ıϖ(b)ıdh(b))2	X
ejpam-5461	511	18	+	+	CCONJ
ejpam-5461	511	19	(	(	PUNCT
ejpam-5461	511	20	ıϖ(e)ıdh(e))2	ıϖ(e)ıdh(e))2	NOUN
ejpam-5461	511	21	=	=	PUNCT
ejpam-5461	511	22	√	√	PROPN
ejpam-5461	511	23	(	(	PUNCT
ejpam-5461	511	24	(	(	PUNCT
ejpam-5461	511	25	0.6)(0.4))2	0.6)(0.4))2	X
ejpam-5461	511	26	+	+	CCONJ
ejpam-5461	511	27	(	(	PUNCT
ejpam-5461	511	28	(	(	PUNCT
ejpam-5461	511	29	0.5)(1.3))2	0.5)(1.3))2	NUM
ejpam-5461	511	30	+	+	NOUN
ejpam-5461	511	31	√	√	INTJ
ejpam-5461	511	32	(	(	PUNCT
ejpam-5461	511	33	(	(	PUNCT
ejpam-5461	511	34	0.5)(1.3))2	0.5)(1.3))2	NOUN
ejpam-5461	511	35	+	+	CCONJ
ejpam-5461	511	36	(	(	PUNCT
ejpam-5461	511	37	(	(	PUNCT
ejpam-5461	511	38	0.4)(0.4))2	0.4)(0.4))2	NOUN
ejpam-5461	511	39	+	+	CCONJ
ejpam-5461	511	40	√	√	INTJ
ejpam-5461	511	41	(	(	PUNCT
ejpam-5461	511	42	(	(	PUNCT
ejpam-5461	511	43	0.5)(1.3))2	0.5)(1.3))2	NOUN
ejpam-5461	511	44	+	+	CCONJ
ejpam-5461	511	45	(	(	PUNCT
ejpam-5461	511	46	(	(	PUNCT
ejpam-5461	511	47	0.7)(0.5))2	0.7)(0.5))2	NOUN
ejpam-5461	511	48	=	=	SYM
ejpam-5461	511	49	0.6928	0.6928	NUM
ejpam-5461	512	1	+	+	PUNCT
ejpam-5461	512	2	0.6694	0.6694	NUM
ejpam-5461	512	3	+	+	SYM
ejpam-5461	512	4	0.7382	0.7382	NUM
ejpam-5461	512	5	isoi(h	isoi(h	NOUN
ejpam-5461	512	6	)	)	PUNCT
ejpam-5461	512	7	=	=	SYM
ejpam-5461	512	8	2.1004	2.1004	NUM
ejpam-5461	512	9	(	(	PUNCT
ejpam-5461	512	10	3.45	3.45	NUM
ejpam-5461	512	11	)	)	PUNCT
ejpam-5461	512	12	fsoi(h	fsoi(h	PROPN
ejpam-5461	512	13	)	)	PUNCT
ejpam-5461	512	14	=	=	SYM
ejpam-5461	513	1	√	√	PROPN
ejpam-5461	513	2	(	(	PUNCT
ejpam-5461	513	3	𭟋ϖ(a)𭟋dh(a))2	𭟋ϖ(a)𭟋dh(a))2	X
ejpam-5461	513	4	+	+	CCONJ
ejpam-5461	513	5	(	(	PUNCT
ejpam-5461	513	6	𭟋ϖ(b)𭟋dh(b))2	𭟋ϖ(b)𭟋dh(b))2	X
ejpam-5461	513	7	+	+	NOUN
ejpam-5461	513	8	√	√	PROPN
ejpam-5461	513	9	(	(	PUNCT
ejpam-5461	513	10	𭟋ϖ(b)𭟋dh(b))2	𭟋ϖ(b)𭟋dh(b))2	X
ejpam-5461	513	11	+	+	CCONJ
ejpam-5461	513	12	(	(	PUNCT
ejpam-5461	513	13	𭟋ϖ(c)𭟋dh(c))2	𭟋ϖ(c)𭟋dh(c))2	NOUN
ejpam-5461	513	14	+	+	CCONJ
ejpam-5461	513	15	√	√	PROPN
ejpam-5461	513	16	(	(	PUNCT
ejpam-5461	513	17	𭟋ϖ(b)𭟋dh(b))2	𭟋ϖ(b)𭟋dh(b))2	X
ejpam-5461	513	18	+	+	CCONJ
ejpam-5461	513	19	(	(	PUNCT
ejpam-5461	513	20	𭟋ϖ(e)𭟋dh(e))2	𭟋ϖ(e)𭟋dh(e))2	NOUN
ejpam-5461	513	21	=	=	PUNCT
ejpam-5461	513	22	√	√	PROPN
ejpam-5461	513	23	(	(	PUNCT
ejpam-5461	513	24	(	(	PUNCT
ejpam-5461	513	25	0.4)(0.5))2	0.4)(0.5))2	NUM
ejpam-5461	513	26	+	+	CCONJ
ejpam-5461	513	27	(	(	PUNCT
ejpam-5461	513	28	(	(	PUNCT
ejpam-5461	513	29	0.4)(1.4))2	0.4)(1.4))2	NOUN
ejpam-5461	513	30	+	+	CCONJ
ejpam-5461	513	31	√	√	PROPN
ejpam-5461	513	32	(	(	PUNCT
ejpam-5461	513	33	(	(	PUNCT
ejpam-5461	513	34	0.4)(1.4))2	0.4)(1.4))2	NOUN
ejpam-5461	513	35	+	+	CCONJ
ejpam-5461	513	36	(	(	PUNCT
ejpam-5461	513	37	(	(	PUNCT
ejpam-5461	513	38	0.3)(0.5))2	0.3)(0.5))2	NUM
ejpam-5461	513	39	+	+	CCONJ
ejpam-5461	513	40	√	√	INTJ
ejpam-5461	513	41	(	(	PUNCT
ejpam-5461	513	42	(	(	PUNCT
ejpam-5461	513	43	0.4)(1.4))2	0.4)(1.4))2	NOUN
ejpam-5461	513	44	+	+	CCONJ
ejpam-5461	513	45	(	(	PUNCT
ejpam-5461	513	46	(	(	PUNCT
ejpam-5461	513	47	0.4)(0.5))2	0.4)(0.5))2	NUM
ejpam-5461	513	48	=	=	SYM
ejpam-5461	513	49	0.5946	0.5946	NUM
ejpam-5461	513	50	+	+	NUM
ejpam-5461	513	51	0.5797	0.5797	NUM
ejpam-5461	513	52	+	+	CCONJ
ejpam-5461	513	53	0.5946	0.5946	NUM
ejpam-5461	513	54	fsoi(h	fsoi(h	NOUN
ejpam-5461	513	55	)	)	PUNCT
ejpam-5461	513	56	=	=	SYM
ejpam-5461	513	57	1.7689	1.7689	NUM
ejpam-5461	513	58	.............	.............	PUNCT
ejpam-5461	513	59	(44	(44	PUNCT
ejpam-5461	513	60	)	)	PUNCT
ejpam-5461	513	61	.	.	PUNCT
ejpam-5461	514	1	(	(	PUNCT
ejpam-5461	514	2	3.46	3.46	NUM
ejpam-5461	514	3	)	)	PUNCT
ejpam-5461	514	4	substitute	substitute	NOUN
ejpam-5461	514	5	(	(	PUNCT
ejpam-5461	514	6	3.44	3.44	NUM
ejpam-5461	514	7	)	)	PUNCT
ejpam-5461	514	8	,	,	PUNCT
ejpam-5461	514	9	(	(	PUNCT
ejpam-5461	514	10	3.45	3.45	NUM
ejpam-5461	514	11	)	)	PUNCT
ejpam-5461	514	12	and	and	CCONJ
ejpam-5461	514	13	(	(	PUNCT
ejpam-5461	514	14	3.46	3.46	NUM
ejpam-5461	514	15	)	)	PUNCT
ejpam-5461	514	16	in	in	ADP
ejpam-5461	514	17	(	(	PUNCT
ejpam-5461	514	18	3.43	3.43	NUM
ejpam-5461	514	19	)	)	PUNCT
ejpam-5461	514	20	,	,	PUNCT
ejpam-5461	514	21	we	we	PRON
ejpam-5461	514	22	get	get	VERB
ejpam-5461	514	23	nsoi(g	nsoi(g	ADV
ejpam-5461	514	24	)	)	PUNCT
ejpam-5461	514	25	=	=	PUNCT
ejpam-5461	515	1	2.5476	2.5476	NUM
ejpam-5461	515	2	+	+	NUM
ejpam-5461	515	3	2.1004	2.1004	NUM
ejpam-5461	515	4	+	+	CCONJ
ejpam-5461	515	5	1.7689	1.7689	NUM
ejpam-5461	515	6	=	=	SYM
ejpam-5461	515	7	6.4169	6.4169	NUM
ejpam-5461	515	8	nsoi(g	nsoi(g	NOUN
ejpam-5461	515	9	)	)	PUNCT
ejpam-5461	515	10	>	>	X
ejpam-5461	516	1	nsoi(g	nsoi(g	ADP
ejpam-5461	516	2	−	−	PROPN
ejpam-5461	516	3	α	α	NOUN
ejpam-5461	516	4	)	)	PUNCT
ejpam-5461	516	5	thus	thus	ADV
ejpam-5461	516	6	clearly	clearly	ADV
ejpam-5461	516	7	nsoi(g	nsoi(g	PROPN
ejpam-5461	516	8	)	)	PUNCT
ejpam-5461	516	9	>	>	X
ejpam-5461	517	1	nsoi(g	nsoi(g	ADP
ejpam-5461	517	2	−	−	PROPN
ejpam-5461	517	3	α	α	NOUN
ejpam-5461	517	4	)	)	PUNCT
ejpam-5461	517	5	.	.	PUNCT
ejpam-5461	518	1	figure	figure	VERB
ejpam-5461	518	2	5	5	NUM
ejpam-5461	518	3	:	:	PUNCT
ejpam-5461	518	4	neutrosophic	neutrosophic	ADJ
ejpam-5461	518	5	graph	graph	NOUN
ejpam-5461	518	6	g	g	PROPN
ejpam-5461	518	7	−	−	PROPN
ejpam-5461	518	8	{	{	PUNCT
ejpam-5461	518	9	d	d	NOUN
ejpam-5461	518	10	}	}	PUNCT
ejpam-5461	518	11	4	4	NUM
ejpam-5461	518	12	.	.	NOUN
ejpam-5461	518	13	site	site	NOUN
ejpam-5461	518	14	selection	selection	NOUN
ejpam-5461	518	15	for	for	ADP
ejpam-5461	518	16	thermal	thermal	ADJ
ejpam-5461	518	17	power	power	NOUN
ejpam-5461	518	18	plant	plant	NOUN
ejpam-5461	518	19	by	by	ADP
ejpam-5461	518	20	using	use	VERB
ejpam-5461	518	21	soi	soi	NOUN
ejpam-5461	518	22	in	in	ADP
ejpam-5461	518	23	ngs	ng	NOUN
ejpam-5461	518	24	now	now	ADV
ejpam-5461	518	25	a	a	DET
ejpam-5461	518	26	day	day	NOUN
ejpam-5461	518	27	without	without	ADP
ejpam-5461	518	28	power	power	NOUN
ejpam-5461	518	29	plants	plant	NOUN
ejpam-5461	518	30	,	,	PUNCT
ejpam-5461	518	31	people	people	NOUN
ejpam-5461	518	32	would	would	AUX
ejpam-5461	518	33	n’t	not	PART
ejpam-5461	518	34	have	have	VERB
ejpam-5461	518	35	reliable	reliable	ADJ
ejpam-5461	518	36	access	access	NOUN
ejpam-5461	518	37	to	to	ADP
ejpam-5461	518	38	electricity	electricity	NOUN
ejpam-5461	518	39	,	,	PUNCT
ejpam-5461	518	40	which	which	PRON
ejpam-5461	518	41	would	would	AUX
ejpam-5461	518	42	make	make	VERB
ejpam-5461	518	43	it	it	PRON
ejpam-5461	518	44	difficult	difficult	ADJ
ejpam-5461	518	45	to	to	PART
ejpam-5461	518	46	live	live	VERB
ejpam-5461	518	47	and	and	CCONJ
ejpam-5461	518	48	work	work	VERB
ejpam-5461	518	49	in	in	ADP
ejpam-5461	518	50	the	the	DET
ejpam-5461	518	51	ways	way	NOUN
ejpam-5461	518	52	we	we	PRON
ejpam-5461	518	53	’re	’re	VERB
ejpam-5461	518	54	accustomed	accustomed	ADJ
ejpam-5461	518	55	to	to	ADP
ejpam-5461	518	56	today	today	NOUN
ejpam-5461	518	57	.	.	PUNCT
ejpam-5461	519	1	power	power	NOUN
ejpam-5461	519	2	plants	plant	NOUN
ejpam-5461	519	3	m.	m.	NOUN
ejpam-5461	519	4	alqahtani	alqahtani	PROPN
ejpam-5461	519	5	,	,	PUNCT
ejpam-5461	519	6	m.	m.	NOUN
ejpam-5461	519	7	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	519	8	,	,	PUNCT
ejpam-5461	519	9	m.	m.	NOUN
ejpam-5461	519	10	rajeshwari	rajeshwari	PROPN
ejpam-5461	519	11	/	/	SYM
ejpam-5461	519	12	eur	eur	PROPN
ejpam-5461	519	13	.	.	PUNCT
ejpam-5461	520	1	j.	j.	PROPN
ejpam-5461	520	2	pure	pure	PROPN
ejpam-5461	520	3	appl	appl	PROPN
ejpam-5461	520	4	.	.	PROPN
ejpam-5461	520	5	math	math	PROPN
ejpam-5461	520	6	,	,	PUNCT
ejpam-5461	520	7	17	17	NUM
ejpam-5461	520	8	(	(	PUNCT
ejpam-5461	520	9	4	4	NUM
ejpam-5461	520	10	)	)	PUNCT
ejpam-5461	520	11	(	(	PUNCT
ejpam-5461	520	12	2024	2024	NUM
ejpam-5461	520	13	)	)	PUNCT
ejpam-5461	520	14	,	,	PUNCT
ejpam-5461	520	15	2586	2586	NUM
ejpam-5461	520	16	-	-	SYM
ejpam-5461	520	17	2620	2620	NUM
ejpam-5461	520	18	2610	2610	NUM
ejpam-5461	520	19	help	help	NOUN
ejpam-5461	520	20	distribute	distribute	VERB
ejpam-5461	520	21	energy	energy	NOUN
ejpam-5461	520	22	to	to	ADP
ejpam-5461	520	23	large	large	ADJ
ejpam-5461	520	24	populations	population	NOUN
ejpam-5461	520	25	,	,	PUNCT
ejpam-5461	520	26	making	make	VERB
ejpam-5461	520	27	it	it	PRON
ejpam-5461	520	28	possible	possible	ADJ
ejpam-5461	520	29	for	for	SCONJ
ejpam-5461	520	30	society	society	NOUN
ejpam-5461	520	31	to	to	PART
ejpam-5461	520	32	function	function	VERB
ejpam-5461	520	33	smoothly	smoothly	ADV
ejpam-5461	520	34	and	and	CCONJ
ejpam-5461	520	35	efficiently	efficiently	ADV
ejpam-5461	520	36	.	.	PUNCT
ejpam-5461	521	1	selecting	select	VERB
ejpam-5461	521	2	an	an	DET
ejpam-5461	521	3	appropriate	appropriate	ADJ
ejpam-5461	521	4	location	location	NOUN
ejpam-5461	521	5	for	for	ADP
ejpam-5461	521	6	a	a	DET
ejpam-5461	521	7	thermal	thermal	ADJ
ejpam-5461	521	8	power	power	NOUN
ejpam-5461	521	9	plant	plant	NOUN
ejpam-5461	521	10	is	be	AUX
ejpam-5461	521	11	a	a	DET
ejpam-5461	521	12	crucial	crucial	ADJ
ejpam-5461	521	13	choice	choice	NOUN
ejpam-5461	521	14	that	that	PRON
ejpam-5461	521	15	affects	affect	VERB
ejpam-5461	521	16	the	the	DET
ejpam-5461	521	17	facility	facility	NOUN
ejpam-5461	521	18	’s	’s	PART
ejpam-5461	521	19	overall	overall	ADJ
ejpam-5461	521	20	performance	performance	NOUN
ejpam-5461	521	21	,	,	PUNCT
ejpam-5461	521	22	operational	operational	ADJ
ejpam-5461	521	23	expenses	expense	NOUN
ejpam-5461	521	24	,	,	PUNCT
ejpam-5461	521	25	and	and	CCONJ
ejpam-5461	521	26	efficiency	efficiency	NOUN
ejpam-5461	521	27	over	over	ADP
ejpam-5461	521	28	time	time	NOUN
ejpam-5461	521	29	.	.	PUNCT
ejpam-5461	522	1	to	to	PART
ejpam-5461	522	2	make	make	VERB
ejpam-5461	522	3	sure	sure	ADJ
ejpam-5461	522	4	that	that	SCONJ
ejpam-5461	522	5	the	the	DET
ejpam-5461	522	6	chosen	choose	VERB
ejpam-5461	522	7	site	site	NOUN
ejpam-5461	522	8	satisfies	satisfy	VERB
ejpam-5461	522	9	all	all	DET
ejpam-5461	522	10	technical	technical	ADJ
ejpam-5461	522	11	and	and	CCONJ
ejpam-5461	522	12	financial	financial	ADJ
ejpam-5461	522	13	needs	need	NOUN
ejpam-5461	522	14	while	while	SCONJ
ejpam-5461	522	15	also	also	ADV
ejpam-5461	522	16	taking	take	VERB
ejpam-5461	522	17	social	social	ADJ
ejpam-5461	522	18	and	and	CCONJ
ejpam-5461	522	19	environmental	environmental	ADJ
ejpam-5461	522	20	aspects	aspect	NOUN
ejpam-5461	522	21	into	into	ADP
ejpam-5461	522	22	account	account	NOUN
ejpam-5461	522	23	,	,	PUNCT
ejpam-5461	522	24	a	a	DET
ejpam-5461	522	25	thorough	thorough	ADJ
ejpam-5461	522	26	examination	examination	NOUN
ejpam-5461	522	27	of	of	ADP
ejpam-5461	522	28	many	many	ADJ
ejpam-5461	522	29	different	different	ADJ
ejpam-5461	522	30	elements	element	NOUN
ejpam-5461	522	31	must	must	AUX
ejpam-5461	522	32	be	be	AUX
ejpam-5461	522	33	conducted	conduct	VERB
ejpam-5461	522	34	.	.	PUNCT
ejpam-5461	523	1	finding	find	VERB
ejpam-5461	523	2	a	a	DET
ejpam-5461	523	3	site	site	NOUN
ejpam-5461	523	4	that	that	PRON
ejpam-5461	523	5	fully	fully	ADV
ejpam-5461	523	6	satisfies	satisfy	VERB
ejpam-5461	523	7	every	every	DET
ejpam-5461	523	8	ideal	ideal	ADJ
ejpam-5461	523	9	criteria	criterion	NOUN
ejpam-5461	523	10	is	be	AUX
ejpam-5461	523	11	difficult	difficult	ADJ
ejpam-5461	523	12	,	,	PUNCT
ejpam-5461	523	13	but	but	CCONJ
ejpam-5461	523	14	the	the	DET
ejpam-5461	523	15	objective	objective	NOUN
ejpam-5461	523	16	is	be	AUX
ejpam-5461	523	17	to	to	PART
ejpam-5461	523	18	choose	choose	VERB
ejpam-5461	523	19	a	a	DET
ejpam-5461	523	20	location	location	NOUN
ejpam-5461	523	21	that	that	PRON
ejpam-5461	523	22	gives	give	VERB
ejpam-5461	523	23	the	the	DET
ejpam-5461	523	24	best	good	ADJ
ejpam-5461	523	25	possible	possible	ADJ
ejpam-5461	523	26	balance	balance	NOUN
ejpam-5461	523	27	of	of	ADP
ejpam-5461	523	28	these	these	DET
ejpam-5461	523	29	characteristics	characteristic	NOUN
ejpam-5461	523	30	,	,	PUNCT
ejpam-5461	523	31	assuring	assure	VERB
ejpam-5461	523	32	the	the	DET
ejpam-5461	523	33	plant	plant	NOUN
ejpam-5461	523	34	’s	’s	PART
ejpam-5461	523	35	longterm	longterm	ADJ
ejpam-5461	523	36	survival	survival	NOUN
ejpam-5461	523	37	and	and	CCONJ
ejpam-5461	523	38	financial	financial	ADJ
ejpam-5461	523	39	rationale	rationale	NOUN
ejpam-5461	523	40	by	by	ADP
ejpam-5461	523	41	using	use	VERB
ejpam-5461	523	42	neutrosophic	neutrosophic	ADJ
ejpam-5461	523	43	graph	graph	NOUN
ejpam-5461	523	44	.	.	PUNCT
ejpam-5461	524	1	4.1	4.1	NUM
ejpam-5461	524	2	.	.	PUNCT
ejpam-5461	525	1	essential	essential	ADJ
ejpam-5461	525	2	conditions	condition	NOUN
ejpam-5461	525	3	for	for	ADP
ejpam-5461	525	4	building	building	NOUN
ejpam-5461	525	5	and	and	CCONJ
ejpam-5461	525	6	functioning	function	VERB
ejpam-5461	525	7	:	:	PUNCT
ejpam-5461	525	8	several	several	ADJ
ejpam-5461	525	9	essential	essential	ADJ
ejpam-5461	525	10	requirements	requirement	NOUN
ejpam-5461	525	11	must	must	AUX
ejpam-5461	525	12	be	be	AUX
ejpam-5461	525	13	met	meet	VERB
ejpam-5461	525	14	for	for	SCONJ
ejpam-5461	525	15	a	a	DET
ejpam-5461	525	16	thermal	thermal	ADJ
ejpam-5461	525	17	power	power	NOUN
ejpam-5461	525	18	plant	plant	NOUN
ejpam-5461	525	19	to	to	PART
ejpam-5461	525	20	be	be	AUX
ejpam-5461	525	21	built	build	VERB
ejpam-5461	525	22	and	and	CCONJ
ejpam-5461	525	23	operated	operate	VERB
ejpam-5461	525	24	.	.	PUNCT
ejpam-5461	526	1	the	the	DET
ejpam-5461	526	2	soil	soil	NOUN
ejpam-5461	526	3	stability	stability	NOUN
ejpam-5461	526	4	at	at	ADP
ejpam-5461	526	5	the	the	DET
ejpam-5461	526	6	location	location	NOUN
ejpam-5461	526	7	and	and	CCONJ
ejpam-5461	526	8	the	the	DET
ejpam-5461	526	9	availability	availability	NOUN
ejpam-5461	526	10	of	of	ADP
ejpam-5461	526	11	water	water	NOUN
ejpam-5461	526	12	supplies	supply	NOUN
ejpam-5461	526	13	are	be	AUX
ejpam-5461	526	14	two	two	NUM
ejpam-5461	526	15	of	of	ADP
ejpam-5461	526	16	the	the	DET
ejpam-5461	526	17	most	most	ADV
ejpam-5461	526	18	crucial	crucial	ADJ
ejpam-5461	526	19	elements	element	NOUN
ejpam-5461	526	20	.	.	PUNCT
ejpam-5461	527	1	1	1	X
ejpam-5461	527	2	.	.	X
ejpam-5461	527	3	fuel	fuel	NOUN
ejpam-5461	527	4	supply(f	supply(f	PROPN
ejpam-5461	527	5	):	):	PUNCT
ejpam-5461	527	6	one	one	NUM
ejpam-5461	527	7	of	of	ADP
ejpam-5461	527	8	the	the	DET
ejpam-5461	527	9	most	most	ADV
ejpam-5461	527	10	important	important	ADJ
ejpam-5461	527	11	considerations	consideration	NOUN
ejpam-5461	527	12	when	when	SCONJ
ejpam-5461	527	13	choosing	choose	VERB
ejpam-5461	527	14	a	a	DET
ejpam-5461	527	15	location	location	NOUN
ejpam-5461	527	16	is	be	AUX
ejpam-5461	527	17	its	its	PRON
ejpam-5461	527	18	closeness	closeness	NOUN
ejpam-5461	527	19	to	to	ADP
ejpam-5461	527	20	a	a	DET
ejpam-5461	527	21	consistent	consistent	ADJ
ejpam-5461	527	22	fuel	fuel	NOUN
ejpam-5461	527	23	source	source	NOUN
ejpam-5461	527	24	.	.	PUNCT
ejpam-5461	528	1	fossil	fossil	ADJ
ejpam-5461	528	2	fuels	fuel	NOUN
ejpam-5461	528	3	including	include	VERB
ejpam-5461	528	4	oil	oil	NOUN
ejpam-5461	528	5	,	,	PUNCT
ejpam-5461	528	6	gas	gas	NOUN
ejpam-5461	528	7	,	,	PUNCT
ejpam-5461	528	8	and	and	CCONJ
ejpam-5461	528	9	coal	coal	NOUN
ejpam-5461	528	10	are	be	AUX
ejpam-5461	528	11	usually	usually	ADV
ejpam-5461	528	12	used	use	VERB
ejpam-5461	528	13	in	in	ADP
ejpam-5461	528	14	thermal	thermal	ADJ
ejpam-5461	528	15	power	power	NOUN
ejpam-5461	528	16	plants	plant	NOUN
ejpam-5461	528	17	.	.	PUNCT
ejpam-5461	529	1	long	long	ADJ
ejpam-5461	529	2	-	-	PUNCT
ejpam-5461	529	3	distance	distance	NOUN
ejpam-5461	529	4	fuel	fuel	NOUN
ejpam-5461	529	5	transportation	transportation	NOUN
ejpam-5461	529	6	can	can	AUX
ejpam-5461	529	7	result	result	VERB
ejpam-5461	529	8	in	in	ADP
ejpam-5461	529	9	considerable	considerable	ADJ
ejpam-5461	529	10	cost	cost	NOUN
ejpam-5461	529	11	increases	increase	NOUN
ejpam-5461	529	12	,	,	PUNCT
ejpam-5461	529	13	which	which	PRON
ejpam-5461	529	14	lower	lower	VERB
ejpam-5461	529	15	the	the	DET
ejpam-5461	529	16	plant	plant	NOUN
ejpam-5461	529	17	’s	’s	PART
ejpam-5461	529	18	overall	overall	ADJ
ejpam-5461	529	19	productivity	productivity	NOUN
ejpam-5461	529	20	and	and	CCONJ
ejpam-5461	529	21	profitability	profitability	NOUN
ejpam-5461	529	22	.	.	PUNCT
ejpam-5461	530	1	thus	thus	ADV
ejpam-5461	530	2	,	,	PUNCT
ejpam-5461	530	3	it	it	PRON
ejpam-5461	530	4	is	be	AUX
ejpam-5461	530	5	best	good	ADJ
ejpam-5461	530	6	to	to	PART
ejpam-5461	530	7	locate	locate	VERB
ejpam-5461	530	8	the	the	DET
ejpam-5461	530	9	facility	facility	NOUN
ejpam-5461	530	10	near	near	ADP
ejpam-5461	530	11	important	important	ADJ
ejpam-5461	530	12	fuel	fuel	NOUN
ejpam-5461	530	13	supplies	supply	NOUN
ejpam-5461	530	14	or	or	CCONJ
ejpam-5461	530	15	transit	transit	NOUN
ejpam-5461	530	16	corridors	corridor	NOUN
ejpam-5461	530	17	like	like	ADP
ejpam-5461	530	18	pipelines	pipeline	NOUN
ejpam-5461	530	19	or	or	CCONJ
ejpam-5461	530	20	railroads	railroad	NOUN
ejpam-5461	530	21	.	.	PUNCT
ejpam-5461	531	1	this	this	DET
ejpam-5461	531	2	close	close	ADJ
ejpam-5461	531	3	proximity	proximity	NOUN
ejpam-5461	531	4	guarantees	guarantee	VERB
ejpam-5461	531	5	a	a	DET
ejpam-5461	531	6	consistent	consistent	ADJ
ejpam-5461	531	7	supply	supply	NOUN
ejpam-5461	531	8	of	of	ADP
ejpam-5461	531	9	fuel	fuel	NOUN
ejpam-5461	531	10	to	to	ADP
ejpam-5461	531	11	the	the	DET
ejpam-5461	531	12	plant	plant	NOUN
ejpam-5461	531	13	while	while	SCONJ
ejpam-5461	531	14	reducing	reduce	VERB
ejpam-5461	531	15	the	the	DET
ejpam-5461	531	16	risk	risk	NOUN
ejpam-5461	531	17	of	of	ADP
ejpam-5461	531	18	supply	supply	NOUN
ejpam-5461	531	19	disruptions	disruption	NOUN
ejpam-5461	531	20	and	and	CCONJ
ejpam-5461	531	21	transportation	transportation	NOUN
ejpam-5461	531	22	expenditures	expenditure	NOUN
ejpam-5461	531	23	.	.	PUNCT
ejpam-5461	532	1	2	2	X
ejpam-5461	532	2	.	.	X
ejpam-5461	532	3	soil	soil	NOUN
ejpam-5461	532	4	type	type	NOUN
ejpam-5461	532	5	and	and	CCONJ
ejpam-5461	532	6	geology(sg	geology(sg	PROPN
ejpam-5461	532	7	):	):	PUNCT
ejpam-5461	532	8	the	the	DET
ejpam-5461	532	9	construction	construction	NOUN
ejpam-5461	532	10	and	and	CCONJ
ejpam-5461	532	11	stability	stability	NOUN
ejpam-5461	532	12	of	of	ADP
ejpam-5461	532	13	the	the	DET
ejpam-5461	532	14	power	power	NOUN
ejpam-5461	532	15	plant	plant	NOUN
ejpam-5461	532	16	depend	depend	VERB
ejpam-5461	532	17	heavily	heavily	ADV
ejpam-5461	532	18	on	on	ADP
ejpam-5461	532	19	the	the	DET
ejpam-5461	532	20	site	site	NOUN
ejpam-5461	532	21	’s	’s	PART
ejpam-5461	532	22	geology	geology	NOUN
ejpam-5461	532	23	and	and	CCONJ
ejpam-5461	532	24	soil	soil	NOUN
ejpam-5461	532	25	composition	composition	NOUN
ejpam-5461	532	26	.	.	PUNCT
ejpam-5461	533	1	for	for	ADP
ejpam-5461	533	2	the	the	DET
ejpam-5461	533	3	plant	plant	NOUN
ejpam-5461	533	4	’s	’s	PART
ejpam-5461	533	5	safety	safety	NOUN
ejpam-5461	533	6	and	and	CCONJ
ejpam-5461	533	7	to	to	PART
ejpam-5461	533	8	prevent	prevent	VERB
ejpam-5461	533	9	structural	structural	ADJ
ejpam-5461	533	10	problems	problem	NOUN
ejpam-5461	533	11	,	,	PUNCT
ejpam-5461	533	12	the	the	DET
ejpam-5461	533	13	foundation	foundation	NOUN
ejpam-5461	533	14	needs	need	VERB
ejpam-5461	533	15	to	to	PART
ejpam-5461	533	16	be	be	AUX
ejpam-5461	533	17	placed	place	VERB
ejpam-5461	533	18	on	on	ADP
ejpam-5461	533	19	solid	solid	ADJ
ejpam-5461	533	20	ground	ground	NOUN
ejpam-5461	533	21	.	.	PUNCT
ejpam-5461	534	1	it	it	PRON
ejpam-5461	534	2	is	be	AUX
ejpam-5461	534	3	best	good	ADJ
ejpam-5461	534	4	to	to	PART
ejpam-5461	534	5	stay	stay	VERB
ejpam-5461	534	6	away	away	ADV
ejpam-5461	534	7	from	from	ADP
ejpam-5461	534	8	areas	area	NOUN
ejpam-5461	534	9	with	with	ADP
ejpam-5461	534	10	unstable	unstable	ADJ
ejpam-5461	534	11	soils	soil	NOUN
ejpam-5461	534	12	,	,	PUNCT
ejpam-5461	534	13	such	such	ADJ
ejpam-5461	534	14	as	as	ADP
ejpam-5461	534	15	those	those	PRON
ejpam-5461	534	16	that	that	PRON
ejpam-5461	534	17	are	be	AUX
ejpam-5461	534	18	vulnerable	vulnerable	ADJ
ejpam-5461	534	19	to	to	ADP
ejpam-5461	534	20	landslides	landslide	NOUN
ejpam-5461	534	21	,	,	PUNCT
ejpam-5461	534	22	erosion	erosion	NOUN
ejpam-5461	534	23	,	,	PUNCT
ejpam-5461	534	24	or	or	CCONJ
ejpam-5461	534	25	subsidence	subsidence	NOUN
ejpam-5461	534	26	.	.	PUNCT
ejpam-5461	535	1	to	to	PART
ejpam-5461	535	2	reduce	reduce	VERB
ejpam-5461	535	3	the	the	DET
ejpam-5461	535	4	danger	danger	NOUN
ejpam-5461	535	5	of	of	ADP
ejpam-5461	535	6	earthquakes	earthquake	NOUN
ejpam-5461	535	7	,	,	PUNCT
ejpam-5461	535	8	the	the	DET
ejpam-5461	535	9	location	location	NOUN
ejpam-5461	535	10	should	should	AUX
ejpam-5461	535	11	also	also	ADV
ejpam-5461	535	12	have	have	VERB
ejpam-5461	535	13	little	little	ADJ
ejpam-5461	535	14	seismic	seismic	ADJ
ejpam-5461	535	15	risk	risk	NOUN
ejpam-5461	535	16	or	or	CCONJ
ejpam-5461	535	17	be	be	AUX
ejpam-5461	535	18	devoid	devoid	ADJ
ejpam-5461	535	19	of	of	ADP
ejpam-5461	535	20	seismic	seismic	ADJ
ejpam-5461	535	21	activity	activity	NOUN
ejpam-5461	535	22	.	.	PUNCT
ejpam-5461	536	1	to	to	PART
ejpam-5461	536	2	determine	determine	VERB
ejpam-5461	536	3	if	if	SCONJ
ejpam-5461	536	4	the	the	DET
ejpam-5461	536	5	soil	soil	NOUN
ejpam-5461	536	6	and	and	CCONJ
ejpam-5461	536	7	underlying	underlying	ADJ
ejpam-5461	536	8	rock	rock	NOUN
ejpam-5461	536	9	formations	formation	NOUN
ejpam-5461	536	10	are	be	AUX
ejpam-5461	536	11	suitable	suitable	ADJ
ejpam-5461	536	12	for	for	ADP
ejpam-5461	536	13	sustaining	sustain	VERB
ejpam-5461	536	14	large	large	ADJ
ejpam-5461	536	15	buildings	building	NOUN
ejpam-5461	536	16	like	like	ADP
ejpam-5461	536	17	cooling	cool	VERB
ejpam-5461	536	18	towers	tower	NOUN
ejpam-5461	536	19	,	,	PUNCT
ejpam-5461	536	20	boilers	boiler	NOUN
ejpam-5461	536	21	and	and	CCONJ
ejpam-5461	536	22	turbines	turbine	NOUN
ejpam-5461	536	23	,	,	PUNCT
ejpam-5461	536	24	a	a	DET
ejpam-5461	536	25	thorough	thorough	ADJ
ejpam-5461	536	26	geotechnical	geotechnical	ADJ
ejpam-5461	536	27	assessment	assessment	NOUN
ejpam-5461	536	28	is	be	AUX
ejpam-5461	536	29	necessary	necessary	ADJ
ejpam-5461	536	30	.	.	PUNCT
ejpam-5461	537	1	3	3	X
ejpam-5461	537	2	.	.	X
ejpam-5461	537	3	water	water	NOUN
ejpam-5461	537	4	availability(wa	availability(wa	PROPN
ejpam-5461	537	5	):	):	PUNCT
ejpam-5461	537	6	for	for	ADP
ejpam-5461	537	7	thermal	thermal	ADJ
ejpam-5461	537	8	power	power	NOUN
ejpam-5461	537	9	plants	plant	NOUN
ejpam-5461	537	10	,	,	PUNCT
ejpam-5461	537	11	where	where	SCONJ
ejpam-5461	537	12	it	it	PRON
ejpam-5461	537	13	is	be	AUX
ejpam-5461	537	14	mostly	mostly	ADV
ejpam-5461	537	15	utilized	utilize	VERB
ejpam-5461	537	16	for	for	ADP
ejpam-5461	537	17	steam	steam	NOUN
ejpam-5461	537	18	generation	generation	NOUN
ejpam-5461	537	19	and	and	CCONJ
ejpam-5461	537	20	cooling	cooling	NOUN
ejpam-5461	537	21	,	,	PUNCT
ejpam-5461	537	22	water	water	NOUN
ejpam-5461	537	23	is	be	AUX
ejpam-5461	537	24	an	an	DET
ejpam-5461	537	25	essential	essential	ADJ
ejpam-5461	537	26	resource	resource	NOUN
ejpam-5461	537	27	.	.	PUNCT
ejpam-5461	538	1	a	a	DET
ejpam-5461	538	2	steady	steady	ADJ
ejpam-5461	538	3	and	and	CCONJ
ejpam-5461	538	4	sufficient	sufficient	ADJ
ejpam-5461	538	5	supply	supply	NOUN
ejpam-5461	538	6	of	of	ADP
ejpam-5461	538	7	water	water	NOUN
ejpam-5461	538	8	is	be	AUX
ejpam-5461	538	9	essential	essential	ADJ
ejpam-5461	538	10	to	to	ADP
ejpam-5461	538	11	the	the	DET
ejpam-5461	538	12	plant	plant	NOUN
ejpam-5461	538	13	’s	’s	PART
ejpam-5461	538	14	productivity	productivity	NOUN
ejpam-5461	538	15	and	and	CCONJ
ejpam-5461	538	16	stability	stability	NOUN
ejpam-5461	538	17	of	of	ADP
ejpam-5461	538	18	operations	operation	NOUN
ejpam-5461	538	19	.	.	PUNCT
ejpam-5461	539	1	thus	thus	ADV
ejpam-5461	539	2	,	,	PUNCT
ejpam-5461	539	3	locations	location	NOUN
ejpam-5461	539	4	close	close	ADJ
ejpam-5461	539	5	to	to	ADP
ejpam-5461	539	6	big	big	ADJ
ejpam-5461	539	7	bodies	body	NOUN
ejpam-5461	539	8	of	of	ADP
ejpam-5461	539	9	water	water	NOUN
ejpam-5461	539	10	,	,	PUNCT
ejpam-5461	539	11	such	such	ADJ
ejpam-5461	539	12	lakes	lake	NOUN
ejpam-5461	539	13	,	,	PUNCT
ejpam-5461	539	14	rivers	river	NOUN
ejpam-5461	539	15	,	,	PUNCT
ejpam-5461	539	16	or	or	CCONJ
ejpam-5461	539	17	reservoirs	reservoir	NOUN
ejpam-5461	539	18	,	,	PUNCT
ejpam-5461	539	19	are	be	AUX
ejpam-5461	539	20	frequently	frequently	ADV
ejpam-5461	539	21	optimal	optimal	ADJ
ejpam-5461	539	22	.	.	PUNCT
ejpam-5461	540	1	water	water	NOUN
ejpam-5461	540	2	availability	availability	NOUN
ejpam-5461	540	3	must	must	AUX
ejpam-5461	540	4	be	be	AUX
ejpam-5461	540	5	weighed	weigh	VERB
ejpam-5461	540	6	against	against	ADP
ejpam-5461	540	7	environmental	environmental	ADJ
ejpam-5461	540	8	factors	factor	NOUN
ejpam-5461	540	9	,	,	PUNCT
ejpam-5461	540	10	such	such	ADJ
ejpam-5461	540	11	as	as	ADP
ejpam-5461	540	12	the	the	DET
ejpam-5461	540	13	effect	effect	NOUN
ejpam-5461	540	14	on	on	ADP
ejpam-5461	540	15	aquatic	aquatic	ADJ
ejpam-5461	540	16	ecosystems	ecosystem	NOUN
ejpam-5461	540	17	and	and	CCONJ
ejpam-5461	540	18	water	water	NOUN
ejpam-5461	540	19	rights	right	NOUN
ejpam-5461	540	20	,	,	PUNCT
ejpam-5461	540	21	though	though	ADV
ejpam-5461	540	22	.	.	PUNCT
ejpam-5461	541	1	alternative	alternative	ADJ
ejpam-5461	541	2	cooling	cool	VERB
ejpam-5461	541	3	techniques	technique	NOUN
ejpam-5461	541	4	or	or	CCONJ
ejpam-5461	541	5	water	water	NOUN
ejpam-5461	541	6	sources	source	NOUN
ejpam-5461	541	7	,	,	PUNCT
ejpam-5461	541	8	including	include	VERB
ejpam-5461	541	9	seawater	seawater	NOUN
ejpam-5461	541	10	or	or	CCONJ
ejpam-5461	541	11	treated	treat	VERB
ejpam-5461	541	12	wastewater	wastewater	NOUN
ejpam-5461	541	13	,	,	PUNCT
ejpam-5461	541	14	may	may	AUX
ejpam-5461	541	15	be	be	AUX
ejpam-5461	541	16	required	require	VERB
ejpam-5461	541	17	in	in	ADP
ejpam-5461	541	18	desert	desert	NOUN
ejpam-5461	541	19	places	place	NOUN
ejpam-5461	541	20	where	where	SCONJ
ejpam-5461	541	21	water	water	NOUN
ejpam-5461	541	22	is	be	AUX
ejpam-5461	541	23	scarce	scarce	ADJ
ejpam-5461	541	24	.	.	PUNCT
ejpam-5461	542	1	4	4	X
ejpam-5461	542	2	.	.	X
ejpam-5461	542	3	land	land	NOUN
ejpam-5461	542	4	availability(la	availability(la	NOUN
ejpam-5461	542	5	):	):	PUNCT
ejpam-5461	542	6	a	a	DET
ejpam-5461	542	7	thermal	thermal	ADJ
ejpam-5461	542	8	power	power	NOUN
ejpam-5461	542	9	plant	plant	NOUN
ejpam-5461	542	10	needs	need	VERB
ejpam-5461	542	11	land	land	NOUN
ejpam-5461	542	12	for	for	ADP
ejpam-5461	542	13	auxiliary	auxiliary	ADJ
ejpam-5461	542	14	infrastructure	infrastructure	NOUN
ejpam-5461	542	15	,	,	PUNCT
ejpam-5461	542	16	such	such	ADJ
ejpam-5461	542	17	as	as	ADP
ejpam-5461	542	18	fuel	fuel	NOUN
ejpam-5461	542	19	storage	storage	NOUN
ejpam-5461	542	20	,	,	PUNCT
ejpam-5461	542	21	water	water	NOUN
ejpam-5461	542	22	treatment	treatment	NOUN
ejpam-5461	542	23	facilities	facility	NOUN
ejpam-5461	542	24	and	and	CCONJ
ejpam-5461	542	25	waste	waste	NOUN
ejpam-5461	542	26	disposal	disposal	NOUN
ejpam-5461	542	27	sites	site	NOUN
ejpam-5461	542	28	,	,	PUNCT
ejpam-5461	542	29	in	in	ADP
ejpam-5461	542	30	addition	addition	NOUN
ejpam-5461	542	31	to	to	ADP
ejpam-5461	542	32	the	the	DET
ejpam-5461	542	33	primary	primary	ADJ
ejpam-5461	542	34	facilities	facility	NOUN
ejpam-5461	542	35	.	.	PUNCT
ejpam-5461	543	1	the	the	DET
ejpam-5461	543	2	location	location	NOUN
ejpam-5461	543	3	should	should	AUX
ejpam-5461	543	4	have	have	VERB
ejpam-5461	543	5	enough	enough	ADJ
ejpam-5461	543	6	room	room	NOUN
ejpam-5461	543	7	for	for	ADP
ejpam-5461	543	8	upcoming	upcoming	ADJ
ejpam-5461	543	9	improvements	improvement	NOUN
ejpam-5461	543	10	or	or	CCONJ
ejpam-5461	543	11	expansions	expansion	NOUN
ejpam-5461	543	12	.	.	PUNCT
ejpam-5461	544	1	for	for	ADP
ejpam-5461	544	2	equipment	equipment	NOUN
ejpam-5461	544	3	placement	placement	NOUN
ejpam-5461	544	4	and	and	CCONJ
ejpam-5461	544	5	to	to	PART
ejpam-5461	544	6	save	save	VERB
ejpam-5461	544	7	building	building	NOUN
ejpam-5461	544	8	expenses	expense	NOUN
ejpam-5461	544	9	,	,	PUNCT
ejpam-5461	544	10	the	the	DET
ejpam-5461	544	11	terrain	terrain	NOUN
ejpam-5461	544	12	should	should	AUX
ejpam-5461	544	13	also	also	ADV
ejpam-5461	544	14	be	be	AUX
ejpam-5461	544	15	level	level	ADJ
ejpam-5461	544	16	or	or	CCONJ
ejpam-5461	544	17	moderately	moderately	ADV
ejpam-5461	544	18	sloping	sloping	ADJ
ejpam-5461	544	19	.	.	PUNCT
ejpam-5461	545	1	the	the	DET
ejpam-5461	545	2	ownership	ownership	NOUN
ejpam-5461	545	3	and	and	CCONJ
ejpam-5461	545	4	present	present	ADJ
ejpam-5461	545	5	usage	usage	NOUN
ejpam-5461	545	6	of	of	ADP
ejpam-5461	545	7	the	the	DET
ejpam-5461	545	8	property	property	NOUN
ejpam-5461	545	9	should	should	AUX
ejpam-5461	545	10	also	also	ADV
ejpam-5461	545	11	be	be	AUX
ejpam-5461	545	12	taken	take	VERB
ejpam-5461	545	13	into	into	ADP
ejpam-5461	545	14	account	account	NOUN
ejpam-5461	545	15	,	,	PUNCT
ejpam-5461	545	16	as	as	SCONJ
ejpam-5461	545	17	clearing	clear	VERB
ejpam-5461	545	18	and	and	CCONJ
ejpam-5461	545	19	acquiring	acquire	VERB
ejpam-5461	545	20	land	land	NOUN
ejpam-5461	545	21	may	may	AUX
ejpam-5461	545	22	be	be	AUX
ejpam-5461	545	23	expensive	expensive	ADJ
ejpam-5461	545	24	and	and	CCONJ
ejpam-5461	545	25	time	time	NOUN
ejpam-5461	545	26	-	-	PUNCT
ejpam-5461	545	27	consuming	consume	VERB
ejpam-5461	545	28	.	.	PUNCT
ejpam-5461	546	1	5	5	X
ejpam-5461	546	2	.	.	X
ejpam-5461	546	3	facilities	facility	NOUN
ejpam-5461	546	4	for	for	ADP
ejpam-5461	546	5	transportation(ft	transportation(ft	ADV
ejpam-5461	546	6	):	):	PUNCT
ejpam-5461	546	7	building	building	NOUN
ejpam-5461	546	8	and	and	CCONJ
ejpam-5461	546	9	running	run	VERB
ejpam-5461	546	10	a	a	DET
ejpam-5461	546	11	thermal	thermal	ADJ
ejpam-5461	546	12	power	power	NOUN
ejpam-5461	546	13	plant	plant	NOUN
ejpam-5461	546	14	requires	require	VERB
ejpam-5461	546	15	an	an	DET
ejpam-5461	546	16	effective	effective	ADJ
ejpam-5461	546	17	transportation	transportation	NOUN
ejpam-5461	546	18	infrastructure	infrastructure	NOUN
ejpam-5461	546	19	.	.	PUNCT
ejpam-5461	547	1	heavy	heavy	ADJ
ejpam-5461	547	2	equipment	equipment	NOUN
ejpam-5461	547	3	,	,	PUNCT
ejpam-5461	547	4	building	building	NOUN
ejpam-5461	547	5	supplies	supply	NOUN
ejpam-5461	547	6	,	,	PUNCT
ejpam-5461	547	7	and	and	CCONJ
ejpam-5461	547	8	plant	plant	NOUN
ejpam-5461	547	9	parts	part	NOUN
ejpam-5461	547	10	need	need	VERB
ejpam-5461	547	11	to	to	PART
ejpam-5461	547	12	be	be	AUX
ejpam-5461	547	13	carried	carry	VERB
ejpam-5461	547	14	to	to	ADP
ejpam-5461	547	15	the	the	DET
ejpam-5461	547	16	construction	construction	NOUN
ejpam-5461	547	17	site	site	NOUN
ejpam-5461	547	18	.	.	PUNCT
ejpam-5461	548	1	fuel	fuel	NOUN
ejpam-5461	548	2	and	and	CCONJ
ejpam-5461	548	3	other	other	ADJ
ejpam-5461	548	4	required	require	VERB
ejpam-5461	548	5	supplies	supply	NOUN
ejpam-5461	548	6	must	must	AUX
ejpam-5461	548	7	be	be	AUX
ejpam-5461	548	8	supplied	supply	VERB
ejpam-5461	548	9	on	on	ADP
ejpam-5461	548	10	a	a	DET
ejpam-5461	548	11	regular	regular	ADJ
ejpam-5461	548	12	basis	basis	NOUN
ejpam-5461	548	13	once	once	SCONJ
ejpam-5461	548	14	the	the	DET
ejpam-5461	548	15	plant	plant	NOUN
ejpam-5461	548	16	is	be	AUX
ejpam-5461	548	17	operating	operate	VERB
ejpam-5461	548	18	.	.	PUNCT
ejpam-5461	549	1	being	be	AUX
ejpam-5461	549	2	close	close	ADJ
ejpam-5461	549	3	to	to	ADP
ejpam-5461	549	4	ports	port	NOUN
ejpam-5461	549	5	,	,	PUNCT
ejpam-5461	549	6	railroads	railroad	NOUN
ejpam-5461	549	7	and	and	CCONJ
ejpam-5461	549	8	highways	highway	NOUN
ejpam-5461	549	9	may	may	AUX
ejpam-5461	549	10	greatly	greatly	ADV
ejpam-5461	549	11	lower	lower	VERB
ejpam-5461	549	12	logistical	logistical	ADJ
ejpam-5461	549	13	difficulties	difficulty	NOUN
ejpam-5461	549	14	and	and	CCONJ
ejpam-5461	549	15	transportation	transportation	NOUN
ejpam-5461	549	16	costs	cost	NOUN
ejpam-5461	549	17	.	.	PUNCT
ejpam-5461	550	1	additionally	additionally	ADV
ejpam-5461	550	2	,	,	PUNCT
ejpam-5461	550	3	efficient	efficient	ADJ
ejpam-5461	550	4	m.	m.	NOUN
ejpam-5461	550	5	alqahtani	alqahtani	PROPN
ejpam-5461	550	6	,	,	PUNCT
ejpam-5461	550	7	m.	m.	NOUN
ejpam-5461	550	8	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	550	9	,	,	PUNCT
ejpam-5461	550	10	m.	m.	NOUN
ejpam-5461	550	11	rajeshwari	rajeshwari	PROPN
ejpam-5461	550	12	/	/	SYM
ejpam-5461	550	13	eur	eur	PROPN
ejpam-5461	550	14	.	.	PUNCT
ejpam-5461	551	1	j.	j.	PROPN
ejpam-5461	551	2	pure	pure	PROPN
ejpam-5461	551	3	appl	appl	PROPN
ejpam-5461	551	4	.	.	PROPN
ejpam-5461	551	5	math	math	PROPN
ejpam-5461	551	6	,	,	PUNCT
ejpam-5461	551	7	17	17	NUM
ejpam-5461	551	8	(	(	PUNCT
ejpam-5461	551	9	4	4	NUM
ejpam-5461	551	10	)	)	PUNCT
ejpam-5461	551	11	(	(	PUNCT
ejpam-5461	551	12	2024	2024	NUM
ejpam-5461	551	13	)	)	PUNCT
ejpam-5461	551	14	,	,	PUNCT
ejpam-5461	551	15	2586	2586	NUM
ejpam-5461	551	16	-	-	SYM
ejpam-5461	551	17	2620	2620	NUM
ejpam-5461	551	18	2611	2611	NUM
ejpam-5461	551	19	transportation	transportation	NOUN
ejpam-5461	551	20	networks	network	NOUN
ejpam-5461	551	21	are	be	AUX
ejpam-5461	551	22	essential	essential	ADJ
ejpam-5461	551	23	for	for	ADP
ejpam-5461	551	24	plant	plant	NOUN
ejpam-5461	551	25	staff	staff	NOUN
ejpam-5461	551	26	mobility	mobility	NOUN
ejpam-5461	551	27	and	and	CCONJ
ejpam-5461	551	28	for	for	ADP
ejpam-5461	551	29	enabling	enable	VERB
ejpam-5461	551	30	emergency	emergency	NOUN
ejpam-5461	551	31	services	service	NOUN
ejpam-5461	551	32	.	.	PUNCT
ejpam-5461	552	1	in	in	ADP
ejpam-5461	552	2	the	the	DET
ejpam-5461	552	3	process	process	NOUN
ejpam-5461	552	4	we	we	PRON
ejpam-5461	552	5	can	can	AUX
ejpam-5461	552	6	identify	identify	VERB
ejpam-5461	552	7	the	the	DET
ejpam-5461	552	8	order	order	NOUN
ejpam-5461	552	9	of	of	ADP
ejpam-5461	552	10	key	key	ADJ
ejpam-5461	552	11	components	component	NOUN
ejpam-5461	552	12	by	by	ADP
ejpam-5461	552	13	using	use	VERB
ejpam-5461	552	14	neutrosophic	neutrosophic	ADJ
ejpam-5461	552	15	soi	soi	NOUN
ejpam-5461	552	16	of	of	ADP
ejpam-5461	552	17	thermal	thermal	ADJ
ejpam-5461	552	18	thermal	thermal	ADJ
ejpam-5461	552	19	power	power	NOUN
ejpam-5461	552	20	plant	plant	NOUN
ejpam-5461	552	21	.	.	PUNCT
ejpam-5461	553	1	the	the	DET
ejpam-5461	553	2	relationship	relationship	NOUN
ejpam-5461	553	3	among	among	ADP
ejpam-5461	553	4	the	the	DET
ejpam-5461	553	5	key	key	ADJ
ejpam-5461	553	6	components	component	NOUN
ejpam-5461	553	7	like	like	ADP
ejpam-5461	553	8	fuel	fuel	NOUN
ejpam-5461	553	9	supply	supply	NOUN
ejpam-5461	553	10	,	,	PUNCT
ejpam-5461	553	11	soil	soil	NOUN
ejpam-5461	553	12	type	type	NOUN
ejpam-5461	553	13	and	and	CCONJ
ejpam-5461	553	14	geology	geology	NOUN
ejpam-5461	553	15	,	,	PUNCT
ejpam-5461	553	16	water	water	NOUN
ejpam-5461	553	17	availability	availability	NOUN
ejpam-5461	553	18	,	,	PUNCT
ejpam-5461	553	19	land	land	NOUN
ejpam-5461	553	20	availability	availability	NOUN
ejpam-5461	553	21	and	and	CCONJ
ejpam-5461	553	22	facilities	facility	NOUN
ejpam-5461	553	23	for	for	ADP
ejpam-5461	553	24	transportation	transportation	NOUN
ejpam-5461	553	25	of	of	ADP
ejpam-5461	553	26	the	the	DET
ejpam-5461	553	27	thermal	thermal	ADJ
ejpam-5461	553	28	power	power	NOUN
ejpam-5461	553	29	plant	plant	NOUN
ejpam-5461	553	30	is	be	AUX
ejpam-5461	553	31	constructed	construct	VERB
ejpam-5461	553	32	as	as	ADP
ejpam-5461	553	33	neutrosophic	neutrosophic	ADJ
ejpam-5461	553	34	graphs	graph	NOUN
ejpam-5461	553	35	and	and	CCONJ
ejpam-5461	553	36	it	it	PRON
ejpam-5461	553	37	is	be	AUX
ejpam-5461	553	38	given	give	VERB
ejpam-5461	553	39	below	below	ADV
ejpam-5461	553	40	.	.	PUNCT
ejpam-5461	554	1	figure	figure	VERB
ejpam-5461	554	2	6	6	NUM
ejpam-5461	554	3	:	:	PUNCT
ejpam-5461	554	4	ng	ng	PROPN
ejpam-5461	554	5	based	base	VERB
ejpam-5461	554	6	on	on	ADP
ejpam-5461	554	7	fuel	fuel	NOUN
ejpam-5461	554	8	supply(f	supply(f	PROPN
ejpam-5461	554	9	)	)	PUNCT
ejpam-5461	554	10	d(𭟋1	d(𭟋1	PROPN
ejpam-5461	554	11	)	)	PUNCT
ejpam-5461	554	12	=	=	PUNCT
ejpam-5461	554	13	(	(	PUNCT
ejpam-5461	554	14	1.0	1.0	NUM
ejpam-5461	554	15	,	,	PUNCT
ejpam-5461	554	16	1.0	1.0	NUM
ejpam-5461	554	17	,	,	PUNCT
ejpam-5461	554	18	0.9	0.9	NUM
ejpam-5461	554	19	)	)	PUNCT
ejpam-5461	554	20	,	,	PUNCT
ejpam-5461	554	21	d(𭟋2	d(𭟋2	NOUN
ejpam-5461	554	22	)	)	PUNCT
ejpam-5461	554	23	=	=	PUNCT
ejpam-5461	554	24	(	(	PUNCT
ejpam-5461	554	25	0.9	0.9	NUM
ejpam-5461	554	26	,	,	PUNCT
ejpam-5461	554	27	0.9	0.9	NUM
ejpam-5461	554	28	,	,	PUNCT
ejpam-5461	554	29	1.2	1.2	NUM
ejpam-5461	554	30	)	)	PUNCT
ejpam-5461	554	31	,	,	PUNCT
ejpam-5461	554	32	d(𭟋3	d(𭟋3	X
ejpam-5461	554	33	)	)	PUNCT
ejpam-5461	555	1	=	=	PUNCT
ejpam-5461	555	2	(	(	PUNCT
ejpam-5461	555	3	1.2	1.2	NUM
ejpam-5461	555	4	,	,	PUNCT
ejpam-5461	555	5	1	1	NUM
ejpam-5461	555	6	,	,	PUNCT
ejpam-5461	555	7	1.5	1.5	NUM
ejpam-5461	555	8	)	)	PUNCT
ejpam-5461	555	9	,	,	PUNCT
ejpam-5461	555	10	d(f4	d(f4	NOUN
ejpam-5461	555	11	)	)	PUNCT
ejpam-5461	555	12	=	=	PUNCT
ejpam-5461	555	13	(	(	PUNCT
ejpam-5461	555	14	1.4	1.4	NUM
ejpam-5461	555	15	,	,	PUNCT
ejpam-5461	555	16	1.2	1.2	NUM
ejpam-5461	555	17	,	,	PUNCT
ejpam-5461	555	18	1.3	1.3	NUM
ejpam-5461	555	19	)	)	PUNCT
ejpam-5461	555	20	,	,	PUNCT
ejpam-5461	555	21	d(f5	d(f5	NOUN
ejpam-5461	555	22	)	)	PUNCT
ejpam-5461	555	23	=	=	PUNCT
ejpam-5461	555	24	(	(	PUNCT
ejpam-5461	555	25	1.3	1.3	NUM
ejpam-5461	555	26	,	,	PUNCT
ejpam-5461	555	27	1.1	1.1	NUM
ejpam-5461	555	28	,	,	PUNCT
ejpam-5461	555	29	1.1	1.1	NUM
ejpam-5461	555	30	)	)	PUNCT
ejpam-5461	555	31	.	.	PUNCT
ejpam-5461	556	1	nsoi(g	nsoi(g	X
ejpam-5461	556	2	)	)	PUNCT
ejpam-5461	556	3	=	=	PUNCT
ejpam-5461	557	1	√	√	NUM
ejpam-5461	558	1	[	[	X
ejpam-5461	558	2	(	(	PUNCT
ejpam-5461	558	3	(	(	PUNCT
ejpam-5461	558	4	0.6)(1.0))2	0.6)(1.0))2	NUM
ejpam-5461	558	5	+	+	CCONJ
ejpam-5461	558	6	(	(	PUNCT
ejpam-5461	558	7	(	(	PUNCT
ejpam-5461	558	8	0.5)(0.9))2	0.5)(0.9))2	NOUN
ejpam-5461	558	9	]	]	X
ejpam-5461	558	10	+	+	CCONJ
ejpam-5461	558	11	[	[	X
ejpam-5461	558	12	(	(	PUNCT
ejpam-5461	558	13	(	(	PUNCT
ejpam-5461	558	14	0.5)(1.0))2	0.5)(1.0))2	NUM
ejpam-5461	558	15	+	+	CCONJ
ejpam-5461	558	16	(	(	PUNCT
ejpam-5461	558	17	(	(	PUNCT
ejpam-5461	558	18	0.4)(0.9))2	0.4)(0.9))2	PRON
ejpam-5461	558	19	]	]	PUNCT
ejpam-5461	558	20	+	+	CCONJ
ejpam-5461	558	21	[	[	X
ejpam-5461	558	22	(	(	PUNCT
ejpam-5461	558	23	(	(	PUNCT
ejpam-5461	558	24	0.3)(0.9))2	0.3)(0.9))2	NOUN
ejpam-5461	558	25	+	+	CCONJ
ejpam-5461	558	26	(	(	PUNCT
ejpam-5461	558	27	(	(	PUNCT
ejpam-5461	558	28	0.5)(1.2))2	0.5)(1.2))2	NOUN
ejpam-5461	558	29	]	]	X
ejpam-5461	558	30	=	=	PUNCT
ejpam-5461	559	1	√	√	NUM
ejpam-5461	560	1	[	[	X
ejpam-5461	560	2	(	(	PUNCT
ejpam-5461	560	3	(	(	PUNCT
ejpam-5461	560	4	0.5)(0.9))2	0.5)(0.9))2	NUM
ejpam-5461	560	5	+	+	CCONJ
ejpam-5461	560	6	(	(	PUNCT
ejpam-5461	560	7	(	(	PUNCT
ejpam-5461	560	8	0.7)(1.2))2	0.7)(1.2))2	NUM
ejpam-5461	560	9	]	]	X
ejpam-5461	561	1	+	+	CCONJ
ejpam-5461	561	2	[	[	X
ejpam-5461	561	3	(	(	PUNCT
ejpam-5461	561	4	(	(	PUNCT
ejpam-5461	561	5	0.4)(0.9))2	0.4)(0.9))2	PRON
ejpam-5461	561	6	+	+	X
ejpam-5461	561	7	(	(	PUNCT
ejpam-5461	561	8	(	(	PUNCT
ejpam-5461	561	9	0.6)(1))2	0.6)(1))2	NUM
ejpam-5461	561	10	]	]	PUNCT
ejpam-5461	561	11	+	+	CCONJ
ejpam-5461	561	12	[	[	X
ejpam-5461	561	13	(	(	PUNCT
ejpam-5461	561	14	(	(	PUNCT
ejpam-5461	561	15	0.5)(1.2))2	0.5)(1.2))2	NOUN
ejpam-5461	561	16	+	+	CCONJ
ejpam-5461	561	17	(	(	PUNCT
ejpam-5461	561	18	(	(	PUNCT
ejpam-5461	561	19	0.8)(1.5))2	0.8)(1.5))2	NOUN
ejpam-5461	561	20	]	]	X
ejpam-5461	561	21	=	=	PUNCT
ejpam-5461	561	22	√	√	NUM
ejpam-5461	562	1	[	[	X
ejpam-5461	562	2	(	(	PUNCT
ejpam-5461	562	3	(	(	PUNCT
ejpam-5461	562	4	0.7)(1.2))2	0.7)(1.2))2	NUM
ejpam-5461	562	5	+	+	CCONJ
ejpam-5461	562	6	(	(	PUNCT
ejpam-5461	562	7	(	(	PUNCT
ejpam-5461	562	8	0.8)(1.4))2	0.8)(1.4))2	NOUN
ejpam-5461	562	9	]	]	PUNCT
ejpam-5461	563	1	+	+	CCONJ
ejpam-5461	563	2	[	[	X
ejpam-5461	563	3	(	(	PUNCT
ejpam-5461	563	4	(	(	PUNCT
ejpam-5461	563	5	0.6)(1))2	0.6)(1))2	NUM
ejpam-5461	563	6	+	+	CCONJ
ejpam-5461	563	7	(	(	PUNCT
ejpam-5461	563	8	(	(	PUNCT
ejpam-5461	563	9	0.7)(1.2))2	0.7)(1.2))2	NUM
ejpam-5461	563	10	]	]	X
ejpam-5461	564	1	+	+	CCONJ
ejpam-5461	565	1	[	[	X
ejpam-5461	565	2	(	(	PUNCT
ejpam-5461	565	3	(	(	PUNCT
ejpam-5461	565	4	0.8)(1.5))2	0.8)(1.5))2	NUM
ejpam-5461	565	5	+	+	CCONJ
ejpam-5461	565	6	(	(	PUNCT
ejpam-5461	565	7	(	(	PUNCT
ejpam-5461	565	8	0.6)(1.3))2	0.6)(1.3))2	NOUN
ejpam-5461	565	9	]	]	X
ejpam-5461	565	10	=	=	PUNCT
ejpam-5461	566	1	√	√	NUM
ejpam-5461	567	1	[	[	X
ejpam-5461	567	2	(	(	PUNCT
ejpam-5461	567	3	(	(	PUNCT
ejpam-5461	567	4	0.8)(1.4))2	0.8)(1.4))2	NOUN
ejpam-5461	567	5	+	+	CCONJ
ejpam-5461	567	6	(	(	PUNCT
ejpam-5461	567	7	(	(	PUNCT
ejpam-5461	567	8	0.7)(1.3))2	0.7)(1.3))2	X
ejpam-5461	567	9	]	]	X
ejpam-5461	567	10	+	+	CCONJ
ejpam-5461	567	11	[	[	X
ejpam-5461	567	12	(	(	PUNCT
ejpam-5461	567	13	(	(	PUNCT
ejpam-5461	567	14	0.7)(1.2))2	0.7)(1.2))2	NUM
ejpam-5461	567	15	+	+	CCONJ
ejpam-5461	567	16	(	(	PUNCT
ejpam-5461	567	17	(	(	PUNCT
ejpam-5461	567	18	0.6)(1.1))2	0.6)(1.1))2	NOUN
ejpam-5461	567	19	]	]	X
ejpam-5461	568	1	+	+	CCONJ
ejpam-5461	568	2	[	[	X
ejpam-5461	568	3	(	(	PUNCT
ejpam-5461	568	4	(	(	PUNCT
ejpam-5461	568	5	0.6)(1.3))2	0.6)(1.3))2	NUM
ejpam-5461	568	6	+	+	PUNCT
ejpam-5461	568	7	(	(	PUNCT
ejpam-5461	568	8	(	(	PUNCT
ejpam-5461	568	9	0.5)(1.1))2	0.5)(1.1))2	NOUN
ejpam-5461	568	10	]	]	X
ejpam-5461	568	11	=	=	PUNCT
ejpam-5461	569	1	√	√	NUM
ejpam-5461	570	1	[	[	X
ejpam-5461	570	2	(	(	PUNCT
ejpam-5461	570	3	(	(	PUNCT
ejpam-5461	570	4	0.7)(1.3))2	0.7)(1.3))2	NUM
ejpam-5461	570	5	+	+	SYM
ejpam-5461	570	6	(	(	PUNCT
ejpam-5461	570	7	(	(	PUNCT
ejpam-5461	570	8	0.6)(1.0))2	0.6)(1.0))2	NUM
ejpam-5461	570	9	]	]	PUNCT
ejpam-5461	571	1	+	+	CCONJ
ejpam-5461	571	2	[	[	X
ejpam-5461	571	3	(	(	PUNCT
ejpam-5461	571	4	(	(	PUNCT
ejpam-5461	571	5	0.6)(1.1))2	0.6)(1.1))2	NOUN
ejpam-5461	571	6	+	+	CCONJ
ejpam-5461	571	7	(	(	PUNCT
ejpam-5461	571	8	(	(	PUNCT
ejpam-5461	571	9	0.5)(1.0))2	0.5)(1.0))2	NOUN
ejpam-5461	571	10	]	]	X
ejpam-5461	571	11	+	+	CCONJ
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ejpam-5461	573	11	)	)	PUNCT
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ejpam-5461	573	22	)	)	PUNCT
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ejpam-5461	573	33	)	)	PUNCT
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ejpam-5461	573	44	)	)	PUNCT
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ejpam-5461	574	2	)	)	PUNCT
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ejpam-5461	594	21	:	:	PUNCT
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ejpam-5461	596	14	0.7)(1.8))2	0.7)(1.8))2	NUM
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ejpam-5461	597	4	0.4)(1))2	0.4)(1))2	NOUN
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ejpam-5461	597	8	0.5)(1.6))2	0.5)(1.6))2	NUM
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ejpam-5461	597	11	)	)	PUNCT
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ejpam-5461	598	4	:	:	PUNCT
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ejpam-5461	598	9	type	type	NOUN
ejpam-5461	598	10	and	and	CCONJ
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ejpam-5461	598	12	)	)	PUNCT
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ejpam-5461	599	2	)	)	PUNCT
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ejpam-5461	600	1	√	√	NUM
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ejpam-5461	613	14	0.6)(0.9))2	0.6)(0.9))2	NOUN
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ejpam-5461	613	24	0.5)(1))2	0.5)(1))2	NUM
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ejpam-5461	614	16	-	-	SYM
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ejpam-5461	614	21	:	:	PUNCT
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ejpam-5461	615	25	1.3	1.3	NUM
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ejpam-5461	617	1	√	√	NUM
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ejpam-5461	623	1	√	√	NUM
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ejpam-5461	626	28	0.6)(1.4))2	0.6)(1.4))2	NUM
ejpam-5461	626	29	]	]	X
ejpam-5461	626	30	=	=	PUNCT
ejpam-5461	626	31	√	√	NUM
ejpam-5461	627	1	[	[	X
ejpam-5461	627	2	(	(	PUNCT
ejpam-5461	627	3	(	(	PUNCT
ejpam-5461	627	4	0.8)(1.3))2	0.8)(1.3))2	NUM
ejpam-5461	627	5	+	+	CCONJ
ejpam-5461	627	6	(	(	PUNCT
ejpam-5461	627	7	(	(	PUNCT
ejpam-5461	627	8	0.7)(1.4))2	0.7)(1.4))2	NOUN
ejpam-5461	627	9	]	]	X
ejpam-5461	627	10	+	+	CCONJ
ejpam-5461	628	1	[	[	X
ejpam-5461	628	2	(	(	PUNCT
ejpam-5461	628	3	(	(	PUNCT
ejpam-5461	628	4	0.7)(1.1))2	0.7)(1.1))2	NUM
ejpam-5461	628	5	+	+	CCONJ
ejpam-5461	628	6	(	(	PUNCT
ejpam-5461	628	7	(	(	PUNCT
ejpam-5461	628	8	0.7)(1.3))2	0.7)(1.3))2	X
ejpam-5461	628	9	]	]	X
ejpam-5461	629	1	+	+	CCONJ
ejpam-5461	629	2	[	[	X
ejpam-5461	629	3	(	(	PUNCT
ejpam-5461	629	4	(	(	PUNCT
ejpam-5461	629	5	0.6)(1.4))2	0.6)(1.4))2	NUM
ejpam-5461	629	6	+	+	CCONJ
ejpam-5461	629	7	(	(	PUNCT
ejpam-5461	629	8	(	(	PUNCT
ejpam-5461	629	9	0.8)(1.6))2	0.8)(1.6))2	NOUN
ejpam-5461	629	10	]	]	X
ejpam-5461	629	11	nsoi(g	nsoi(g	NOUN
ejpam-5461	629	12	)	)	PUNCT
ejpam-5461	629	13	=	=	SYM
ejpam-5461	629	14	10.6409	10.6409	NUM
ejpam-5461	629	15	figure	figure	NOUN
ejpam-5461	629	16	10	10	NUM
ejpam-5461	629	17	:	:	PUNCT
ejpam-5461	629	18	ng	ng	PROPN
ejpam-5461	629	19	basesd	basesd	NOUN
ejpam-5461	629	20	on	on	ADP
ejpam-5461	629	21	facilities	facility	NOUN
ejpam-5461	629	22	for	for	ADP
ejpam-5461	629	23	transportation(ft	transportation(ft	ADV
ejpam-5461	629	24	)	)	PUNCT
ejpam-5461	629	25	d(ft1	d(ft1	PROPN
ejpam-5461	629	26	)	)	PUNCT
ejpam-5461	629	27	=	=	PUNCT
ejpam-5461	629	28	(	(	PUNCT
ejpam-5461	629	29	1.3	1.3	NUM
ejpam-5461	629	30	,	,	PUNCT
ejpam-5461	629	31	1.1	1.1	NUM
ejpam-5461	629	32	,	,	PUNCT
ejpam-5461	629	33	1.1	1.1	NUM
ejpam-5461	629	34	)	)	PUNCT
ejpam-5461	629	35	,	,	PUNCT
ejpam-5461	629	36	d(ft2	d(ft2	NOUN
ejpam-5461	629	37	)	)	PUNCT
ejpam-5461	629	38	=	=	PUNCT
ejpam-5461	629	39	(	(	PUNCT
ejpam-5461	629	40	1.1	1.1	NUM
ejpam-5461	629	41	,	,	PUNCT
ejpam-5461	629	42	0.9	0.9	NUM
ejpam-5461	629	43	,	,	PUNCT
ejpam-5461	629	44	0.9	0.9	NUM
ejpam-5461	629	45	)	)	PUNCT
ejpam-5461	629	46	,	,	PUNCT
ejpam-5461	629	47	d(ft3	d(ft3	PROPN
ejpam-5461	629	48	)	)	PUNCT
ejpam-5461	629	49	=	=	PUNCT
ejpam-5461	629	50	(	(	PUNCT
ejpam-5461	629	51	1.0	1.0	NUM
ejpam-5461	629	52	,	,	PUNCT
ejpam-5461	629	53	0.9	0.9	NUM
ejpam-5461	629	54	,	,	PUNCT
ejpam-5461	629	55	0.7	0.7	NUM
ejpam-5461	629	56	)	)	PUNCT
ejpam-5461	629	57	,	,	PUNCT
ejpam-5461	629	58	d(ft4	d(ft4	PROPN
ejpam-5461	629	59	)	)	PUNCT
ejpam-5461	629	60	=	=	PUNCT
ejpam-5461	629	61	(	(	PUNCT
ejpam-5461	629	62	1.3	1.3	NUM
ejpam-5461	629	63	,	,	PUNCT
ejpam-5461	629	64	1.2	1.2	NUM
ejpam-5461	629	65	,	,	PUNCT
ejpam-5461	629	66	1.2	1.2	NUM
ejpam-5461	629	67	)	)	PUNCT
ejpam-5461	629	68	,	,	PUNCT
ejpam-5461	629	69	d(ft5	d(ft5	PROPN
ejpam-5461	629	70	)	)	PUNCT
ejpam-5461	629	71	=	=	SYM
ejpam-5461	629	72	(	(	PUNCT
ejpam-5461	629	73	1.3	1.3	NUM
ejpam-5461	629	74	,	,	PUNCT
ejpam-5461	629	75	1.2	1.2	NUM
ejpam-5461	629	76	,	,	PUNCT
ejpam-5461	629	77	1.2	1.2	NUM
ejpam-5461	629	78	)	)	PUNCT
ejpam-5461	629	79	.	.	PUNCT
ejpam-5461	630	1	nsoi(g	nsoi(g	X
ejpam-5461	630	2	)	)	PUNCT
ejpam-5461	630	3	=	=	PUNCT
ejpam-5461	631	1	√	√	NUM
ejpam-5461	632	1	[	[	X
ejpam-5461	632	2	(	(	PUNCT
ejpam-5461	632	3	(	(	PUNCT
ejpam-5461	632	4	0.7)(1.3))2	0.7)(1.3))2	NUM
ejpam-5461	632	5	+	+	SYM
ejpam-5461	632	6	(	(	PUNCT
ejpam-5461	632	7	(	(	PUNCT
ejpam-5461	632	8	0.6)(1.1))2	0.6)(1.1))2	NOUN
ejpam-5461	632	9	]	]	X
ejpam-5461	632	10	+	+	CCONJ
ejpam-5461	632	11	[	[	X
ejpam-5461	632	12	(	(	PUNCT
ejpam-5461	632	13	(	(	PUNCT
ejpam-5461	632	14	0.6)(1.1))2	0.6)(1.1))2	NOUN
ejpam-5461	632	15	+	+	CCONJ
ejpam-5461	632	16	(	(	PUNCT
ejpam-5461	632	17	(	(	PUNCT
ejpam-5461	632	18	0.5)(0.9))2	0.5)(0.9))2	NOUN
ejpam-5461	632	19	]	]	X
ejpam-5461	632	20	+	+	CCONJ
ejpam-5461	633	1	[	[	X
ejpam-5461	633	2	(	(	PUNCT
ejpam-5461	633	3	(	(	PUNCT
ejpam-5461	633	4	0.5)(1.1))2	0.5)(1.1))2	NUM
ejpam-5461	633	5	+	+	CCONJ
ejpam-5461	633	6	(	(	PUNCT
ejpam-5461	633	7	(	(	PUNCT
ejpam-5461	633	8	0.4)(0.9))2	0.4)(0.9))2	PRON
ejpam-5461	633	9	]	]	X
ejpam-5461	633	10	=	=	PUNCT
ejpam-5461	634	1	√	√	NUM
ejpam-5461	635	1	[	[	X
ejpam-5461	635	2	(	(	PUNCT
ejpam-5461	635	3	(	(	PUNCT
ejpam-5461	635	4	0.6)(1.1))2	0.6)(1.1))2	NOUN
ejpam-5461	635	5	+	+	CCONJ
ejpam-5461	635	6	(	(	PUNCT
ejpam-5461	635	7	(	(	PUNCT
ejpam-5461	635	8	0.5)(1.0))2	0.5)(1.0))2	NOUN
ejpam-5461	635	9	]	]	X
ejpam-5461	635	10	+	+	CCONJ
ejpam-5461	636	1	[	[	X
ejpam-5461	636	2	(	(	PUNCT
ejpam-5461	636	3	(	(	PUNCT
ejpam-5461	636	4	0.5)(0.9))2	0.5)(0.9))2	NUM
ejpam-5461	636	5	+	+	CCONJ
ejpam-5461	636	6	(	(	PUNCT
ejpam-5461	636	7	(	(	PUNCT
ejpam-5461	636	8	0.4)(0.9))2	0.4)(0.9))2	PRON
ejpam-5461	636	9	]	]	PUNCT
ejpam-5461	637	1	+	+	CCONJ
ejpam-5461	637	2	[	[	X
ejpam-5461	637	3	(	(	PUNCT
ejpam-5461	637	4	(	(	PUNCT
ejpam-5461	637	5	0.4)(0.9))2	0.4)(0.9))2	PRON
ejpam-5461	637	6	+	+	CCONJ
ejpam-5461	637	7	(	(	PUNCT
ejpam-5461	637	8	(	(	PUNCT
ejpam-5461	637	9	0.3)(0.7))2	0.3)(0.7))2	NOUN
ejpam-5461	637	10	]	]	PUNCT
ejpam-5461	637	11	=	=	PUNCT
ejpam-5461	637	12	√	√	NUM
ejpam-5461	638	1	[	[	X
ejpam-5461	638	2	(	(	PUNCT
ejpam-5461	638	3	(	(	PUNCT
ejpam-5461	638	4	0.5)(1.0))2	0.5)(1.0))2	NUM
ejpam-5461	638	5	+	+	CCONJ
ejpam-5461	638	6	(	(	PUNCT
ejpam-5461	638	7	(	(	PUNCT
ejpam-5461	638	8	0.6)(1.3))2	0.6)(1.3))2	NOUN
ejpam-5461	638	9	]	]	PUNCT
ejpam-5461	638	10	+	+	CCONJ
ejpam-5461	639	1	[	[	X
ejpam-5461	639	2	(	(	PUNCT
ejpam-5461	639	3	(	(	PUNCT
ejpam-5461	639	4	0.4)(0.9))2	0.4)(0.9))2	PRON
ejpam-5461	639	5	+	+	CCONJ
ejpam-5461	639	6	(	(	PUNCT
ejpam-5461	639	7	(	(	PUNCT
ejpam-5461	639	8	0.6)(1.2))2	0.6)(1.2))2	NOUN
ejpam-5461	639	9	]	]	X
ejpam-5461	639	10	+	+	CCONJ
ejpam-5461	640	1	[	[	X
ejpam-5461	640	2	(	(	PUNCT
ejpam-5461	640	3	(	(	PUNCT
ejpam-5461	640	4	0.3)(0.7))2	0.3)(0.7))2	NOUN
ejpam-5461	640	5	+	+	CCONJ
ejpam-5461	640	6	(	(	PUNCT
ejpam-5461	640	7	(	(	PUNCT
ejpam-5461	640	8	0.5)(1.2))2	0.5)(1.2))2	PROPN
ejpam-5461	640	9	]	]	PUNCT
ejpam-5461	640	10	m.	m.	NOUN
ejpam-5461	640	11	alqahtani	alqahtani	PROPN
ejpam-5461	640	12	,	,	PUNCT
ejpam-5461	640	13	m.	m.	NOUN
ejpam-5461	640	14	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	640	15	,	,	PUNCT
ejpam-5461	640	16	m.	m.	NOUN
ejpam-5461	640	17	rajeshwari	rajeshwari	PROPN
ejpam-5461	640	18	/	/	SYM
ejpam-5461	640	19	eur	eur	PROPN
ejpam-5461	640	20	.	.	PUNCT
ejpam-5461	641	1	j.	j.	PROPN
ejpam-5461	641	2	pure	pure	PROPN
ejpam-5461	641	3	appl	appl	PROPN
ejpam-5461	641	4	.	.	PROPN
ejpam-5461	641	5	math	math	PROPN
ejpam-5461	641	6	,	,	PUNCT
ejpam-5461	641	7	17	17	NUM
ejpam-5461	641	8	(	(	PUNCT
ejpam-5461	641	9	4	4	NUM
ejpam-5461	641	10	)	)	PUNCT
ejpam-5461	641	11	(	(	PUNCT
ejpam-5461	641	12	2024	2024	NUM
ejpam-5461	641	13	)	)	PUNCT
ejpam-5461	641	14	,	,	PUNCT
ejpam-5461	641	15	2586	2586	NUM
ejpam-5461	641	16	-	-	SYM
ejpam-5461	641	17	2620	2620	NUM
ejpam-5461	641	18	2614	2614	NUM
ejpam-5461	641	19	=	=	SYM
ejpam-5461	642	1	√	√	NUM
ejpam-5461	643	1	[	[	X
ejpam-5461	643	2	(	(	PUNCT
ejpam-5461	643	3	(	(	PUNCT
ejpam-5461	643	4	0.6)(1.3))2	0.6)(1.3))2	NUM
ejpam-5461	643	5	+	+	PUNCT
ejpam-5461	643	6	(	(	PUNCT
ejpam-5461	643	7	(	(	PUNCT
ejpam-5461	643	8	0.8)(1.3))2	0.8)(1.3))2	NUM
ejpam-5461	643	9	]	]	X
ejpam-5461	644	1	+	+	CCONJ
ejpam-5461	644	2	[	[	X
ejpam-5461	644	3	(	(	PUNCT
ejpam-5461	644	4	(	(	PUNCT
ejpam-5461	644	5	0.6)(1.2))2	0.6)(1.2))2	NUM
ejpam-5461	644	6	+	+	CCONJ
ejpam-5461	644	7	(	(	PUNCT
ejpam-5461	644	8	(	(	PUNCT
ejpam-5461	644	9	0.7)(1.2))2	0.7)(1.2))2	NUM
ejpam-5461	644	10	]	]	X
ejpam-5461	644	11	+	+	CCONJ
ejpam-5461	644	12	[	[	X
ejpam-5461	644	13	(	(	PUNCT
ejpam-5461	644	14	(	(	PUNCT
ejpam-5461	644	15	0.5)(1.2))2	0.5)(1.2))2	NOUN
ejpam-5461	644	16	+	+	CCONJ
ejpam-5461	644	17	(	(	PUNCT
ejpam-5461	644	18	(	(	PUNCT
ejpam-5461	644	19	0.6)(1.2))2	0.6)(1.2))2	NOUN
ejpam-5461	644	20	]	]	X
ejpam-5461	644	21	=	=	PUNCT
ejpam-5461	644	22	√	√	NUM
ejpam-5461	644	23	[	[	X
ejpam-5461	644	24	(	(	PUNCT
ejpam-5461	644	25	(	(	PUNCT
ejpam-5461	644	26	0.8)(1.3))2	0.8)(1.3))2	NOUN
ejpam-5461	644	27	+	+	CCONJ
ejpam-5461	644	28	(	(	PUNCT
ejpam-5461	644	29	(	(	PUNCT
ejpam-5461	644	30	0.7)(1.3))2	0.7)(1.3))2	X
ejpam-5461	644	31	]	]	X
ejpam-5461	644	32	+	+	CCONJ
ejpam-5461	644	33	[	[	X
ejpam-5461	644	34	(	(	PUNCT
ejpam-5461	644	35	(	(	PUNCT
ejpam-5461	644	36	0.7)(1.2))2	0.7)(1.2))2	NUM
ejpam-5461	644	37	+	+	CCONJ
ejpam-5461	644	38	(	(	PUNCT
ejpam-5461	644	39	(	(	PUNCT
ejpam-5461	644	40	0.6)(1.1))2	0.6)(1.1))2	NOUN
ejpam-5461	644	41	]	]	X
ejpam-5461	644	42	+	+	CCONJ
ejpam-5461	644	43	[	[	X
ejpam-5461	644	44	(	(	PUNCT
ejpam-5461	644	45	(	(	PUNCT
ejpam-5461	644	46	0.6)(1.2))2	0.6)(1.2))2	NUM
ejpam-5461	644	47	+	+	CCONJ
ejpam-5461	644	48	(	(	PUNCT
ejpam-5461	644	49	(	(	PUNCT
ejpam-5461	644	50	0.5)(1.1))2	0.5)(1.1))2	NUM
ejpam-5461	644	51	]	]	X
ejpam-5461	644	52	nsoi(g	nsoi(g	ADP
ejpam-5461	644	53	)	)	PUNCT
ejpam-5461	644	54	=	=	PUNCT
ejpam-5461	644	55	7.9165	7.9165	NUM
ejpam-5461	644	56	4.2	4.2	NUM
ejpam-5461	644	57	.	.	PUNCT
ejpam-5461	645	1	decision	decision	NOUN
ejpam-5461	645	2	making	make	VERB
ejpam-5461	645	3	key	key	ADJ
ejpam-5461	645	4	components	component	NOUN
ejpam-5461	645	5	nsoi	nsoi	VERB
ejpam-5461	645	6	valus	valus	ADJ
ejpam-5461	645	7	fuel	fuel	NOUN
ejpam-5461	645	8	supply(f	supply(f	PROPN
ejpam-5461	645	9	)	)	PUNCT
ejpam-5461	645	10	8.747	8.747	NUM
ejpam-5461	645	11	water	water	NOUN
ejpam-5461	645	12	availability(wa	availability(wa	PROPN
ejpam-5461	645	13	)	)	PUNCT
ejpam-5461	645	14	15.847	15.847	NUM
ejpam-5461	645	15	soil	soil	NOUN
ejpam-5461	645	16	type	type	NOUN
ejpam-5461	645	17	and	and	CCONJ
ejpam-5461	645	18	geology(sg	geology(sg	NOUN
ejpam-5461	645	19	)	)	PUNCT
ejpam-5461	645	20	7.0375	7.0375	NUM
ejpam-5461	645	21	land	land	NOUN
ejpam-5461	645	22	availability(la	availability(la	NOUN
ejpam-5461	645	23	)	)	PUNCT
ejpam-5461	645	24	10.6409	10.6409	NUM
ejpam-5461	645	25	facilities	facility	NOUN
ejpam-5461	645	26	for	for	ADP
ejpam-5461	645	27	transportation(ft	transportation(ft	ADV
ejpam-5461	645	28	)	)	PUNCT
ejpam-5461	645	29	7.9165	7.9165	NUM
ejpam-5461	645	30	table	table	NOUN
ejpam-5461	645	31	2	2	NUM
ejpam-5461	645	32	:	:	PUNCT
ejpam-5461	645	33	neutrosophic	neutrosophic	ADJ
ejpam-5461	645	34	soi	soi	ADJ
ejpam-5461	645	35	values	value	NOUN
ejpam-5461	645	36	figure	figure	VERB
ejpam-5461	645	37	11	11	NUM
ejpam-5461	645	38	:	:	PUNCT
ejpam-5461	645	39	graphical	graphical	ADJ
ejpam-5461	645	40	representation	representation	NOUN
ejpam-5461	645	41	of	of	ADP
ejpam-5461	645	42	soi	soi	ADJ
ejpam-5461	645	43	values	value	NOUN
ejpam-5461	645	44	the	the	DET
ejpam-5461	645	45	neutrosophic	neutrosophic	ADJ
ejpam-5461	645	46	soi	soi	ADJ
ejpam-5461	645	47	values	value	NOUN
ejpam-5461	645	48	presented	present	VERB
ejpam-5461	645	49	in	in	ADP
ejpam-5461	645	50	table	table	NOUN
ejpam-5461	645	51	1	1	NUM
ejpam-5461	645	52	water	water	NOUN
ejpam-5461	645	53	availability(wa	availability(wa	NOUN
ejpam-5461	645	54	)	)	PUNCT
ejpam-5461	645	55	plays	play	VERB
ejpam-5461	645	56	a	a	DET
ejpam-5461	645	57	vital	vital	ADJ
ejpam-5461	645	58	role	role	NOUN
ejpam-5461	645	59	in	in	ADP
ejpam-5461	645	60	selecting	select	VERB
ejpam-5461	645	61	suitable	suitable	ADJ
ejpam-5461	645	62	place	place	NOUN
ejpam-5461	645	63	to	to	PART
ejpam-5461	645	64	establish	establish	VERB
ejpam-5461	645	65	thermal	thermal	ADJ
ejpam-5461	645	66	power	power	NOUN
ejpam-5461	645	67	plant	plant	NOUN
ejpam-5461	645	68	.	.	PUNCT
ejpam-5461	646	1	the	the	DET
ejpam-5461	646	2	various	various	ADJ
ejpam-5461	646	3	attributes	attribute	NOUN
ejpam-5461	646	4	taken	take	VERB
ejpam-5461	646	5	into	into	ADP
ejpam-5461	646	6	considerations	consideration	NOUN
ejpam-5461	646	7	to	to	PART
ejpam-5461	646	8	calculate	calculate	VERB
ejpam-5461	646	9	soi	soi	PROPN
ejpam-5461	646	10	are	be	AUX
ejpam-5461	646	11	graphically	graphically	ADV
ejpam-5461	646	12	represented	represent	VERB
ejpam-5461	646	13	in	in	ADP
ejpam-5461	646	14	fig	fig	NOUN
ejpam-5461	646	15	10	10	NUM
ejpam-5461	646	16	.	.	PUNCT
ejpam-5461	647	1	since	since	SCONJ
ejpam-5461	647	2	the	the	DET
ejpam-5461	647	3	graphical	graphical	ADJ
ejpam-5461	647	4	networks	network	NOUN
ejpam-5461	647	5	are	be	AUX
ejpam-5461	647	6	selected	select	VERB
ejpam-5461	647	7	through	through	ADP
ejpam-5461	647	8	defining	define	VERB
ejpam-5461	647	9	the	the	DET
ejpam-5461	647	10	connection	connection	NOUN
ejpam-5461	647	11	between	between	ADP
ejpam-5461	647	12	elements	element	NOUN
ejpam-5461	647	13	of	of	ADP
ejpam-5461	647	14	the	the	DET
ejpam-5461	647	15	system	system	NOUN
ejpam-5461	647	16	for	for	ADP
ejpam-5461	647	17	fuel	fuel	NOUN
ejpam-5461	647	18	supply	supply	NOUN
ejpam-5461	647	19	,	,	PUNCT
ejpam-5461	647	20	water	water	NOUN
ejpam-5461	647	21	and	and	CCONJ
ejpam-5461	647	22	the	the	DET
ejpam-5461	647	23	kind	kind	NOUN
ejpam-5461	647	24	of	of	ADP
ejpam-5461	647	25	the	the	DET
ejpam-5461	647	26	soil	soil	NOUN
ejpam-5461	647	27	.	.	PUNCT
ejpam-5461	648	1	these	these	DET
ejpam-5461	648	2	factors	factor	NOUN
ejpam-5461	648	3	are	be	AUX
ejpam-5461	648	4	crucial	crucial	ADJ
ejpam-5461	648	5	because	because	SCONJ
ejpam-5461	648	6	the	the	DET
ejpam-5461	648	7	firm	firm	NOUN
ejpam-5461	648	8	’s	’s	PART
ejpam-5461	648	9	power	power	NOUN
ejpam-5461	648	10	plant	plant	NOUN
ejpam-5461	648	11	operations	operation	NOUN
ejpam-5461	648	12	depend	depend	VERB
ejpam-5461	648	13	on	on	ADP
ejpam-5461	648	14	them	they	PRON
ejpam-5461	648	15	as	as	ADV
ejpam-5461	648	16	well	well	ADV
ejpam-5461	648	17	as	as	ADP
ejpam-5461	648	18	the	the	DET
ejpam-5461	648	19	structure	structure	NOUN
ejpam-5461	648	20	’s	’s	PART
ejpam-5461	648	21	stability	stability	NOUN
ejpam-5461	648	22	.	.	PUNCT
ejpam-5461	649	1	experiences	experience	NOUN
ejpam-5461	649	2	indicate	indicate	VERB
ejpam-5461	649	3	that	that	SCONJ
ejpam-5461	649	4	geotechnical	geotechnical	ADJ
ejpam-5461	649	5	factors	factor	NOUN
ejpam-5461	649	6	such	such	ADJ
ejpam-5461	649	7	as	as	ADP
ejpam-5461	649	8	the	the	DET
ejpam-5461	649	9	type	type	NOUN
ejpam-5461	649	10	of	of	ADP
ejpam-5461	649	11	water	water	NOUN
ejpam-5461	649	12	availability(wa	availability(wa	NOUN
ejpam-5461	649	13	)	)	PUNCT
ejpam-5461	649	14	features	feature	NOUN
ejpam-5461	649	15	are	be	AUX
ejpam-5461	649	16	critical	critical	ADJ
ejpam-5461	649	17	in	in	ADP
ejpam-5461	649	18	the	the	DET
ejpam-5461	649	19	design	design	NOUN
ejpam-5461	649	20	of	of	ADP
ejpam-5461	649	21	foundations	foundation	NOUN
ejpam-5461	649	22	required	require	VERB
ejpam-5461	649	23	to	to	PART
ejpam-5461	649	24	support	support	VERB
ejpam-5461	649	25	the	the	DET
ejpam-5461	649	26	construction	construction	NOUN
ejpam-5461	649	27	of	of	ADP
ejpam-5461	649	28	the	the	DET
ejpam-5461	649	29	plant	plant	NOUN
ejpam-5461	649	30	in	in	ADP
ejpam-5461	649	31	the	the	DET
ejpam-5461	649	32	long	long	ADJ
ejpam-5461	649	33	run	run	NOUN
ejpam-5461	649	34	.	.	PUNCT
ejpam-5461	650	1	in	in	ADP
ejpam-5461	650	2	practical	practical	ADJ
ejpam-5461	650	3	use	use	NOUN
ejpam-5461	650	4	,	,	PUNCT
ejpam-5461	650	5	unsound	unsound	ADJ
ejpam-5461	650	6	ground	ground	NOUN
ejpam-5461	650	7	presents	present	VERB
ejpam-5461	650	8	a	a	DET
ejpam-5461	650	9	variety	variety	NOUN
ejpam-5461	650	10	of	of	ADP
ejpam-5461	650	11	structural	structural	ADJ
ejpam-5461	650	12	hazards	hazard	NOUN
ejpam-5461	650	13	which	which	PRON
ejpam-5461	650	14	is	be	AUX
ejpam-5461	650	15	why	why	SCONJ
ejpam-5461	650	16	they	they	PRON
ejpam-5461	650	17	pose	pose	VERB
ejpam-5461	650	18	critical	critical	ADJ
ejpam-5461	650	19	importance	importance	NOUN
ejpam-5461	650	20	in	in	ADP
ejpam-5461	650	21	large	large	ADJ
ejpam-5461	650	22	-	-	PUNCT
ejpam-5461	650	23	scale	scale	NOUN
ejpam-5461	650	24	power	power	NOUN
ejpam-5461	650	25	plant	plant	NOUN
ejpam-5461	650	26	construction	construction	NOUN
ejpam-5461	650	27	such	such	ADJ
ejpam-5461	650	28	as	as	ADP
ejpam-5461	650	29	thermal	thermal	ADJ
ejpam-5461	650	30	power	power	NOUN
ejpam-5461	650	31	plants	plant	NOUN
ejpam-5461	650	32	.	.	PUNCT
ejpam-5461	651	1	m.	m.	NOUN
ejpam-5461	651	2	alqahtani	alqahtani	PROPN
ejpam-5461	651	3	,	,	PUNCT
ejpam-5461	651	4	m.	m.	NOUN
ejpam-5461	651	5	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	651	6	,	,	PUNCT
ejpam-5461	651	7	m.	m.	NOUN
ejpam-5461	651	8	rajeshwari	rajeshwari	PROPN
ejpam-5461	651	9	/	/	SYM
ejpam-5461	651	10	eur	eur	PROPN
ejpam-5461	651	11	.	.	PUNCT
ejpam-5461	652	1	j.	j.	PROPN
ejpam-5461	652	2	pure	pure	PROPN
ejpam-5461	652	3	appl	appl	PROPN
ejpam-5461	652	4	.	.	PROPN
ejpam-5461	652	5	math	math	PROPN
ejpam-5461	652	6	,	,	PUNCT
ejpam-5461	652	7	17	17	NUM
ejpam-5461	652	8	(	(	PUNCT
ejpam-5461	652	9	4	4	NUM
ejpam-5461	652	10	)	)	PUNCT
ejpam-5461	652	11	(	(	PUNCT
ejpam-5461	652	12	2024	2024	NUM
ejpam-5461	652	13	)	)	PUNCT
ejpam-5461	652	14	,	,	PUNCT
ejpam-5461	652	15	2586	2586	NUM
ejpam-5461	652	16	-	-	SYM
ejpam-5461	652	17	2620	2620	NUM
ejpam-5461	652	18	2615	2615	NUM
ejpam-5461	652	19	the	the	DET
ejpam-5461	652	20	dependencies	dependency	NOUN
ejpam-5461	652	21	can	can	AUX
ejpam-5461	652	22	be	be	AUX
ejpam-5461	652	23	represented	represent	VERB
ejpam-5461	652	24	using	use	VERB
ejpam-5461	652	25	neutrosophic	neutrosophic	ADJ
ejpam-5461	652	26	graphs	graph	NOUN
ejpam-5461	652	27	and	and	CCONJ
ejpam-5461	652	28	particularly	particularly	ADV
ejpam-5461	652	29	when	when	SCONJ
ejpam-5461	652	30	dealing	deal	VERB
ejpam-5461	652	31	with	with	ADP
ejpam-5461	652	32	uncertainties	uncertainty	NOUN
ejpam-5461	652	33	.	.	PUNCT
ejpam-5461	653	1	4.3	4.3	NUM
ejpam-5461	653	2	.	.	PUNCT
ejpam-5461	653	3	comparative	comparative	ADJ
ejpam-5461	653	4	analysis	analysis	NOUN
ejpam-5461	653	5	the	the	DET
ejpam-5461	653	6	sois	sois	NOUN
ejpam-5461	653	7	for	for	ADP
ejpam-5461	653	8	the	the	DET
ejpam-5461	653	9	fuzzy	fuzzy	ADJ
ejpam-5461	653	10	and	and	CCONJ
ejpam-5461	653	11	ifgs	ifgs	NOUN
ejpam-5461	653	12	have	have	AUX
ejpam-5461	653	13	been	be	AUX
ejpam-5461	653	14	defined	define	VERB
ejpam-5461	653	15	,	,	PUNCT
ejpam-5461	653	16	the	the	DET
ejpam-5461	653	17	usage	usage	NOUN
ejpam-5461	653	18	is	be	AUX
ejpam-5461	653	19	more	more	ADV
ejpam-5461	653	20	limited	limited	ADJ
ejpam-5461	653	21	,	,	PUNCT
ejpam-5461	653	22	as	as	SCONJ
ejpam-5461	653	23	compared	compare	VERB
ejpam-5461	653	24	to	to	ADP
ejpam-5461	653	25	the	the	DET
ejpam-5461	653	26	critical	critical	ADJ
ejpam-5461	653	27	path	path	NOUN
ejpam-5461	653	28	,	,	PUNCT
ejpam-5461	653	29	strong	strong	ADJ
ejpam-5461	653	30	,	,	PUNCT
ejpam-5461	653	31	complete	complete	ADJ
ejpam-5461	653	32	,	,	PUNCT
ejpam-5461	653	33	complementary	complementary	ADJ
ejpam-5461	653	34	,	,	PUNCT
ejpam-5461	653	35	wheel	wheel	NOUN
ejpam-5461	653	36	and	and	CCONJ
ejpam-5461	653	37	star	star	NOUN
ejpam-5461	653	38	graphs	graph	NOUN
ejpam-5461	653	39	.	.	PUNCT
ejpam-5461	654	1	weight	weight	NOUN
ejpam-5461	654	2	for	for	ADP
ejpam-5461	654	3	mvs	mvs	PROPN
ejpam-5461	654	4	,	,	PUNCT
ejpam-5461	654	5	imvs	imvs	NOUN
ejpam-5461	654	6	and	and	CCONJ
ejpam-5461	654	7	nmvs	nmvs	ADV
ejpam-5461	654	8	assigned	assign	VERB
ejpam-5461	654	9	for	for	ADP
ejpam-5461	654	10	vertices	vertex	NOUN
ejpam-5461	654	11	,	,	PUNCT
ejpam-5461	654	12	can	can	AUX
ejpam-5461	654	13	be	be	AUX
ejpam-5461	654	14	from	from	ADP
ejpam-5461	654	15	0	0	NUM
ejpam-5461	654	16	to	to	ADP
ejpam-5461	654	17	1	1	NUM
ejpam-5461	654	18	as	as	SCONJ
ejpam-5461	654	19	the	the	DET
ejpam-5461	654	20	domain	domain	NOUN
ejpam-5461	654	21	of	of	ADP
ejpam-5461	654	22	x	x	SYM
ejpam-5461	654	23	is	be	AUX
ejpam-5461	654	24	defined	define	VERB
ejpam-5461	654	25	more	more	ADV
ejpam-5461	654	26	thoroughly	thoroughly	ADV
ejpam-5461	654	27	over	over	ADP
ejpam-5461	654	28	closed	closed	ADJ
ejpam-5461	654	29	interval	interval	NOUN
ejpam-5461	654	30	[	[	X
ejpam-5461	654	31	0	0	NUM
ejpam-5461	654	32	,	,	PUNCT
ejpam-5461	654	33	1	1	NUM
ejpam-5461	654	34	]	]	PUNCT
ejpam-5461	654	35	.	.	PUNCT
ejpam-5461	655	1	this	this	PRON
ejpam-5461	655	2	is	be	AUX
ejpam-5461	655	3	similar	similar	ADJ
ejpam-5461	655	4	to	to	ADP
ejpam-5461	655	5	the	the	DET
ejpam-5461	655	6	neutrosophic	neutrosophic	ADJ
ejpam-5461	655	7	framework	framework	NOUN
ejpam-5461	655	8	which	which	PRON
ejpam-5461	655	9	has	have	AUX
ejpam-5461	655	10	not	not	PART
ejpam-5461	655	11	been	be	AUX
ejpam-5461	655	12	designed	design	VERB
ejpam-5461	655	13	in	in	ADP
ejpam-5461	655	14	this	this	DET
ejpam-5461	655	15	manner	manner	NOUN
ejpam-5461	655	16	but	but	CCONJ
ejpam-5461	655	17	is	be	AUX
ejpam-5461	655	18	based	base	VERB
ejpam-5461	655	19	on	on	ADP
ejpam-5461	655	20	capturing	capture	VERB
ejpam-5461	655	21	the	the	DET
ejpam-5461	655	22	value	value	NOUN
ejpam-5461	655	23	of	of	ADP
ejpam-5461	655	24	the	the	DET
ejpam-5461	655	25	unknown	unknown	ADJ
ejpam-5461	655	26	component	component	NOUN
ejpam-5461	655	27	of	of	ADP
ejpam-5461	655	28	an	an	DET
ejpam-5461	655	29	expression	expression	NOUN
ejpam-5461	655	30	as	as	ADV
ejpam-5461	655	31	well	well	ADV
ejpam-5461	655	32	as	as	ADP
ejpam-5461	655	33	the	the	DET
ejpam-5461	655	34	truth	truth	NOUN
ejpam-5461	655	35	value	value	NOUN
ejpam-5461	655	36	.	.	PUNCT
ejpam-5461	656	1	sombor	sombor	PROPN
ejpam-5461	656	2	topological	topological	PROPN
ejpam-5461	656	3	indices	index	NOUN
ejpam-5461	656	4	in	in	ADP
ejpam-5461	656	5	ng	ng	PROPN
ejpam-5461	656	6	theory	theory	NOUN
ejpam-5461	656	7	are	be	AUX
ejpam-5461	656	8	somewhat	somewhat	ADV
ejpam-5461	656	9	less	less	ADV
ejpam-5461	656	10	formalized	formalize	VERB
ejpam-5461	656	11	than	than	ADP
ejpam-5461	656	12	crisp	crisp	ADJ
ejpam-5461	656	13	graph	graph	NOUN
ejpam-5461	656	14	theory	theory	NOUN
ejpam-5461	656	15	since	since	SCONJ
ejpam-5461	656	16	each	each	DET
ejpam-5461	656	17	vertex	vertex	NOUN
ejpam-5461	656	18	can	can	AUX
ejpam-5461	656	19	be	be	AUX
ejpam-5461	656	20	only	only	ADV
ejpam-5461	656	21	one	one	NUM
ejpam-5461	656	22	value	value	NOUN
ejpam-5461	656	23	,	,	PUNCT
ejpam-5461	656	24	and	and	CCONJ
ejpam-5461	656	25	yet	yet	ADV
ejpam-5461	656	26	they	they	PRON
ejpam-5461	656	27	are	be	AUX
ejpam-5461	656	28	more	more	ADV
ejpam-5461	656	29	versatile	versatile	ADJ
ejpam-5461	656	30	and	and	CCONJ
ejpam-5461	656	31	can	can	AUX
ejpam-5461	656	32	be	be	AUX
ejpam-5461	656	33	applied	apply	VERB
ejpam-5461	656	34	wherever	wherever	SCONJ
ejpam-5461	656	35	some	some	DET
ejpam-5461	656	36	decision	decision	NOUN
ejpam-5461	656	37	has	have	VERB
ejpam-5461	656	38	to	to	PART
ejpam-5461	656	39	be	be	AUX
ejpam-5461	656	40	made	make	VERB
ejpam-5461	656	41	,	,	PUNCT
ejpam-5461	656	42	from	from	ADP
ejpam-5461	656	43	fighting	fight	VERB
ejpam-5461	656	44	cyber	cyber	NOUN
ejpam-5461	656	45	-	-	PUNCT
ejpam-5461	656	46	crime	crime	NOUN
ejpam-5461	656	47	to	to	ADP
ejpam-5461	656	48	diagnosing	diagnose	VERB
ejpam-5461	656	49	diseases	disease	NOUN
ejpam-5461	656	50	and	and	CCONJ
ejpam-5461	656	51	planning	plan	VERB
ejpam-5461	656	52	for	for	ADP
ejpam-5461	656	53	roads	road	NOUN
ejpam-5461	656	54	.	.	PUNCT
ejpam-5461	657	1	we	we	PRON
ejpam-5461	657	2	can	can	AUX
ejpam-5461	657	3	not	not	PART
ejpam-5461	657	4	do	do	VERB
ejpam-5461	657	5	that	that	PRON
ejpam-5461	657	6	in	in	ADP
ejpam-5461	657	7	crisp	crisp	ADJ
ejpam-5461	657	8	graph	graph	NOUN
ejpam-5461	657	9	theory	theory	NOUN
ejpam-5461	657	10	because	because	SCONJ
ejpam-5461	657	11	vertices	vertex	NOUN
ejpam-5461	657	12	can	can	AUX
ejpam-5461	657	13	have	have	VERB
ejpam-5461	657	14	only	only	ADV
ejpam-5461	657	15	one	one	NUM
ejpam-5461	657	16	value	value	NOUN
ejpam-5461	657	17	assigned	assign	VERB
ejpam-5461	657	18	to	to	ADP
ejpam-5461	657	19	them	they	PRON
ejpam-5461	657	20	in	in	ADP
ejpam-5461	657	21	this	this	DET
ejpam-5461	657	22	mathematical	mathematical	ADJ
ejpam-5461	657	23	concept	concept	NOUN
ejpam-5461	657	24	.	.	PUNCT
ejpam-5461	658	1	it	it	PRON
ejpam-5461	658	2	is	be	AUX
ejpam-5461	658	3	also	also	ADV
ejpam-5461	658	4	more	more	ADV
ejpam-5461	658	5	all	all	ADV
ejpam-5461	658	6	-	-	PUNCT
ejpam-5461	658	7	encompassing	encompass	VERB
ejpam-5461	658	8	from	from	ADP
ejpam-5461	658	9	this	this	DET
ejpam-5461	658	10	perspective	perspective	NOUN
ejpam-5461	658	11	,	,	PUNCT
ejpam-5461	658	12	for	for	SCONJ
ejpam-5461	658	13	our	our	PRON
ejpam-5461	658	14	work	work	NOUN
ejpam-5461	658	15	is	be	AUX
ejpam-5461	658	16	wider	wide	ADJ
ejpam-5461	658	17	and	and	CCONJ
ejpam-5461	658	18	more	more	ADV
ejpam-5461	658	19	inclusive	inclusive	ADJ
ejpam-5461	658	20	.	.	PUNCT
ejpam-5461	659	1	4.4	4.4	NUM
ejpam-5461	659	2	.	.	PUNCT
ejpam-5461	660	1	sensitivity	sensitivity	NOUN
ejpam-5461	660	2	analysis	analysis	NOUN
ejpam-5461	660	3	the	the	DET
ejpam-5461	660	4	evaluation	evaluation	NOUN
ejpam-5461	660	5	of	of	ADP
ejpam-5461	660	6	nsoi	nsoi	ADJ
ejpam-5461	660	7	values	value	NOUN
ejpam-5461	660	8	,	,	PUNCT
ejpam-5461	660	9	through	through	ADP
ejpam-5461	660	10	sensitivity	sensitivity	NOUN
ejpam-5461	660	11	analysis	analysis	NOUN
ejpam-5461	660	12	,	,	PUNCT
ejpam-5461	660	13	determines	determine	VERB
ejpam-5461	660	14	the	the	DET
ejpam-5461	660	15	significance	significance	NOUN
ejpam-5461	660	16	of	of	ADP
ejpam-5461	660	17	multiple	multiple	ADJ
ejpam-5461	660	18	factors	factor	NOUN
ejpam-5461	660	19	involved	involve	VERB
ejpam-5461	660	20	in	in	ADP
ejpam-5461	660	21	decision	decision	NOUN
ejpam-5461	660	22	making	make	VERB
ejpam-5461	660	23	for	for	ADP
ejpam-5461	660	24	the	the	DET
ejpam-5461	660	25	selection	selection	NOUN
ejpam-5461	660	26	of	of	ADP
ejpam-5461	660	27	an	an	DET
ejpam-5461	660	28	ideal	ideal	ADJ
ejpam-5461	660	29	site	site	NOUN
ejpam-5461	660	30	for	for	ADP
ejpam-5461	660	31	the	the	DET
ejpam-5461	660	32	establishment	establishment	NOUN
ejpam-5461	660	33	of	of	ADP
ejpam-5461	660	34	thermal	thermal	ADJ
ejpam-5461	660	35	power	power	NOUN
ejpam-5461	660	36	plant	plant	NOUN
ejpam-5461	660	37	.	.	PUNCT
ejpam-5461	661	1	from	from	ADP
ejpam-5461	661	2	table	table	NOUN
ejpam-5461	661	3	2	2	NUM
ejpam-5461	661	4	,	,	PUNCT
ejpam-5461	661	5	fuel	fuel	NOUN
ejpam-5461	661	6	supply	supply	NOUN
ejpam-5461	661	7	(	(	PUNCT
ejpam-5461	661	8	f	f	X
ejpam-5461	661	9	)	)	PUNCT
ejpam-5461	661	10	has	have	AUX
ejpam-5461	661	11	nsoi	nsoi	VERB
ejpam-5461	661	12	of	of	ADP
ejpam-5461	661	13	8.747	8.747	NUM
ejpam-5461	661	14	,	,	PUNCT
ejpam-5461	661	15	water	water	NOUN
ejpam-5461	661	16	availability	availability	NOUN
ejpam-5461	661	17	(	(	PUNCT
ejpam-5461	661	18	wa)15.847	wa)15.847	NOUN
ejpam-5461	661	19	,	,	PUNCT
ejpam-5461	661	20	soil	soil	NOUN
ejpam-5461	661	21	type	type	NOUN
ejpam-5461	661	22	and	and	CCONJ
ejpam-5461	661	23	geology	geology	NOUN
ejpam-5461	661	24	(	(	PUNCT
ejpam-5461	661	25	sg	sg	PROPN
ejpam-5461	661	26	)	)	PUNCT
ejpam-5461	661	27	7.0375	7.0375	NUM
ejpam-5461	661	28	,	,	PUNCT
ejpam-5461	661	29	land	land	NOUN
ejpam-5461	661	30	availability	availability	NOUN
ejpam-5461	661	31	(	(	PUNCT
ejpam-5461	661	32	la	la	NOUN
ejpam-5461	661	33	)	)	PUNCT
ejpam-5461	661	34	10.6409	10.6409	NUM
ejpam-5461	661	35	and	and	CCONJ
ejpam-5461	661	36	facilities	facility	NOUN
ejpam-5461	661	37	for	for	ADP
ejpam-5461	661	38	transportation	transportation	NOUN
ejpam-5461	661	39	(	(	PUNCT
ejpam-5461	661	40	ft	ft	NOUN
ejpam-5461	661	41	)	)	PUNCT
ejpam-5461	661	42	7.9165	7.9165	NUM
ejpam-5461	661	43	.	.	PUNCT
ejpam-5461	662	1	due	due	ADP
ejpam-5461	662	2	to	to	ADP
ejpam-5461	662	3	the	the	DET
ejpam-5461	662	4	rather	rather	ADV
ejpam-5461	662	5	high	high	ADJ
ejpam-5461	662	6	nsoi	nsoi	NOUN
ejpam-5461	662	7	value	value	NOUN
ejpam-5461	662	8	with	with	ADP
ejpam-5461	662	9	respect	respect	NOUN
ejpam-5461	662	10	to	to	ADP
ejpam-5461	662	11	the	the	DET
ejpam-5461	662	12	factors	factor	NOUN
ejpam-5461	662	13	of	of	ADP
ejpam-5461	662	14	soil	soil	NOUN
ejpam-5461	662	15	type	type	NOUN
ejpam-5461	662	16	and	and	CCONJ
ejpam-5461	662	17	geology	geology	NOUN
ejpam-5461	662	18	(	(	PUNCT
ejpam-5461	662	19	sg	sg	PROPN
ejpam-5461	662	20	)	)	PUNCT
ejpam-5461	662	21	,	,	PUNCT
ejpam-5461	662	22	it	it	PRON
ejpam-5461	662	23	can	can	AUX
ejpam-5461	662	24	be	be	AUX
ejpam-5461	662	25	stated	state	VERB
ejpam-5461	662	26	that	that	SCONJ
ejpam-5461	662	27	these	these	DET
ejpam-5461	662	28	factors	factor	NOUN
ejpam-5461	662	29	have	have	VERB
ejpam-5461	662	30	a	a	DET
ejpam-5461	662	31	strong	strong	ADJ
ejpam-5461	662	32	influence	influence	NOUN
ejpam-5461	662	33	on	on	ADP
ejpam-5461	662	34	selecting	select	VERB
ejpam-5461	662	35	a	a	DET
ejpam-5461	662	36	site	site	NOUN
ejpam-5461	662	37	for	for	ADP
ejpam-5461	662	38	genset	genset	NOUN
ejpam-5461	662	39	construction	construction	NOUN
ejpam-5461	662	40	,	,	PUNCT
ejpam-5461	662	41	pointing	point	VERB
ejpam-5461	662	42	to	to	ADP
ejpam-5461	662	43	the	the	DET
ejpam-5461	662	44	fact	fact	NOUN
ejpam-5461	662	45	that	that	SCONJ
ejpam-5461	662	46	these	these	DET
ejpam-5461	662	47	conditions	condition	NOUN
ejpam-5461	662	48	are	be	AUX
ejpam-5461	662	49	critical	critical	ADJ
ejpam-5461	662	50	for	for	ADP
ejpam-5461	662	51	obtaining	obtain	VERB
ejpam-5461	662	52	the	the	DET
ejpam-5461	662	53	required	require	VERB
ejpam-5461	662	54	thermal	thermal	ADJ
ejpam-5461	662	55	power	power	NOUN
ejpam-5461	662	56	plant	plant	NOUN
ejpam-5461	662	57	efficiency	efficiency	NOUN
ejpam-5461	662	58	.	.	PUNCT
ejpam-5461	663	1	the	the	DET
ejpam-5461	663	2	various	various	ADJ
ejpam-5461	663	3	attributes	attribute	NOUN
ejpam-5461	663	4	that	that	PRON
ejpam-5461	663	5	have	have	AUX
ejpam-5461	663	6	been	be	AUX
ejpam-5461	663	7	used	use	VERB
ejpam-5461	663	8	to	to	PART
ejpam-5461	663	9	develop	develop	VERB
ejpam-5461	663	10	the	the	DET
ejpam-5461	663	11	nsoi	nsoi	PROPN
ejpam-5461	663	12	model	model	NOUN
ejpam-5461	663	13	have	have	AUX
ejpam-5461	663	14	been	be	AUX
ejpam-5461	663	15	illustrated	illustrate	VERB
ejpam-5461	663	16	in	in	ADP
ejpam-5461	663	17	fig	fig	NOUN
ejpam-5461	663	18	.	.	PUNCT
ejpam-5461	664	1	11	11	NUM
ejpam-5461	664	2	in	in	ADP
ejpam-5461	664	3	order	order	NOUN
ejpam-5461	664	4	to	to	PART
ejpam-5461	664	5	create	create	VERB
ejpam-5461	664	6	a	a	DET
ejpam-5461	664	7	more	more	ADV
ejpam-5461	664	8	informative	informative	ADJ
ejpam-5461	664	9	visual	visual	ADJ
ejpam-5461	664	10	context	context	NOUN
ejpam-5461	664	11	for	for	ADP
ejpam-5461	664	12	decision	decision	NOUN
ejpam-5461	664	13	makers	maker	NOUN
ejpam-5461	664	14	.	.	PUNCT
ejpam-5461	665	1	this	this	DET
ejpam-5461	665	2	analysis	analysis	NOUN
ejpam-5461	665	3	would	would	AUX
ejpam-5461	665	4	put	put	VERB
ejpam-5461	665	5	forward	forward	ADV
ejpam-5461	665	6	that	that	SCONJ
ejpam-5461	665	7	sg	sg	PROPN
ejpam-5461	665	8	has	have	VERB
ejpam-5461	665	9	to	to	PART
ejpam-5461	665	10	be	be	AUX
ejpam-5461	665	11	considered	consider	VERB
ejpam-5461	665	12	side	side	NOUN
ejpam-5461	665	13	by	by	ADP
ejpam-5461	665	14	side	side	NOUN
ejpam-5461	665	15	some	some	DET
ejpam-5461	665	16	other	other	ADJ
ejpam-5461	665	17	significant	significant	ADJ
ejpam-5461	665	18	aspects	aspect	NOUN
ejpam-5461	665	19	like	like	ADP
ejpam-5461	665	20	land	land	NOUN
ejpam-5461	665	21	availability	availability	NOUN
ejpam-5461	665	22	or	or	CCONJ
ejpam-5461	665	23	fuel	fuel	NOUN
ejpam-5461	665	24	supply	supply	NOUN
ejpam-5461	665	25	while	while	SCONJ
ejpam-5461	665	26	screening	screen	VERB
ejpam-5461	665	27	potential	potential	ADJ
ejpam-5461	665	28	locations	location	NOUN
ejpam-5461	665	29	for	for	ADP
ejpam-5461	665	30	thermal	thermal	ADJ
ejpam-5461	665	31	power	power	NOUN
ejpam-5461	665	32	plant	plant	NOUN
ejpam-5461	665	33	.	.	PUNCT
ejpam-5461	666	1	due	due	ADP
ejpam-5461	666	2	to	to	ADP
ejpam-5461	666	3	this	this	PRON
ejpam-5461	666	4	,	,	PUNCT
ejpam-5461	666	5	the	the	DET
ejpam-5461	666	6	decision	decision	NOUN
ejpam-5461	666	7	-	-	PUNCT
ejpam-5461	666	8	makers	maker	NOUN
ejpam-5461	666	9	can	can	AUX
ejpam-5461	666	10	develop	develop	VERB
ejpam-5461	666	11	solutions	solution	NOUN
ejpam-5461	666	12	that	that	PRON
ejpam-5461	666	13	can	can	AUX
ejpam-5461	666	14	improve	improve	VERB
ejpam-5461	666	15	the	the	DET
ejpam-5461	666	16	energy	energy	NOUN
ejpam-5461	666	17	infrastructure	infrastructure	NOUN
ejpam-5461	666	18	’s	’s	PART
ejpam-5461	666	19	robustness	robustness	NOUN
ejpam-5461	666	20	and	and	CCONJ
ejpam-5461	666	21	endurance	endurance	NOUN
ejpam-5461	666	22	under	under	ADP
ejpam-5461	666	23	conditions	condition	NOUN
ejpam-5461	666	24	of	of	ADP
ejpam-5461	666	25	uncertainty	uncertainty	NOUN
ejpam-5461	666	26	and	and	CCONJ
ejpam-5461	666	27	variability	variability	NOUN
ejpam-5461	666	28	of	of	ADP
ejpam-5461	666	29	environmental	environmental	ADJ
ejpam-5461	666	30	factors	factor	NOUN
ejpam-5461	666	31	reducing	reduce	VERB
ejpam-5461	666	32	the	the	DET
ejpam-5461	666	33	vulnerability	vulnerability	NOUN
ejpam-5461	666	34	as	as	SCONJ
ejpam-5461	666	35	noted	note	VERB
ejpam-5461	666	36	in	in	ADP
ejpam-5461	666	37	the	the	DET
ejpam-5461	666	38	research	research	NOUN
ejpam-5461	666	39	.	.	PUNCT
ejpam-5461	667	1	consequently	consequently	ADV
ejpam-5461	667	2	,	,	PUNCT
ejpam-5461	667	3	it	it	PRON
ejpam-5461	667	4	enables	enable	VERB
ejpam-5461	667	5	comprehensive	comprehensive	ADJ
ejpam-5461	667	6	decision	decision	NOUN
ejpam-5461	667	7	-	-	PUNCT
ejpam-5461	667	8	making	making	NOUN
ejpam-5461	667	9	leading	lead	VERB
ejpam-5461	667	10	to	to	ADP
ejpam-5461	667	11	the	the	DET
ejpam-5461	667	12	development	development	NOUN
ejpam-5461	667	13	of	of	ADP
ejpam-5461	667	14	thermal	thermal	ADJ
ejpam-5461	667	15	power	power	NOUN
ejpam-5461	667	16	plants	plant	NOUN
ejpam-5461	667	17	.	.	PUNCT
ejpam-5461	668	1	4.5	4.5	NUM
ejpam-5461	668	2	.	.	PUNCT
ejpam-5461	668	3	advantages	advantage	NOUN
ejpam-5461	668	4	and	and	CCONJ
ejpam-5461	668	5	limitations	limitation	NOUN
ejpam-5461	668	6	as	as	ADP
ejpam-5461	668	7	a	a	DET
ejpam-5461	668	8	result	result	NOUN
ejpam-5461	668	9	of	of	ADP
ejpam-5461	668	10	our	our	PRON
ejpam-5461	668	11	examination	examination	NOUN
ejpam-5461	668	12	,	,	PUNCT
ejpam-5461	668	13	the	the	DET
ejpam-5461	668	14	following	follow	VERB
ejpam-5461	668	15	are	be	AUX
ejpam-5461	668	16	the	the	DET
ejpam-5461	668	17	main	main	ADJ
ejpam-5461	668	18	benefits	benefit	NOUN
ejpam-5461	668	19	and	and	CCONJ
ejpam-5461	668	20	limitations	limitation	NOUN
ejpam-5461	668	21	:	:	PUNCT
ejpam-5461	668	22	•	•	ADP
ejpam-5461	668	23	the	the	DET
ejpam-5461	668	24	nsoi	nsoi	NOUN
ejpam-5461	668	25	is	be	AUX
ejpam-5461	668	26	very	very	ADV
ejpam-5461	668	27	effective	effective	ADJ
ejpam-5461	668	28	in	in	ADP
ejpam-5461	668	29	a	a	DET
ejpam-5461	668	30	real	real	ADJ
ejpam-5461	668	31	-	-	PUNCT
ejpam-5461	668	32	life	life	NOUN
ejpam-5461	668	33	application	application	NOUN
ejpam-5461	668	34	since	since	SCONJ
ejpam-5461	668	35	it	it	PRON
ejpam-5461	668	36	allows	allow	VERB
ejpam-5461	668	37	the	the	DET
ejpam-5461	668	38	use	use	NOUN
ejpam-5461	668	39	of	of	ADP
ejpam-5461	668	40	imprecise	imprecise	ADJ
ejpam-5461	668	41	and	and	CCONJ
ejpam-5461	668	42	uncertain	uncertain	ADJ
ejpam-5461	668	43	data	datum	NOUN
ejpam-5461	668	44	.	.	PUNCT
ejpam-5461	669	1	•	•	NUM
ejpam-5461	669	2	however	however	ADV
ejpam-5461	669	3	,	,	PUNCT
ejpam-5461	669	4	some	some	DET
ejpam-5461	669	5	practitioners	practitioner	NOUN
ejpam-5461	669	6	might	might	AUX
ejpam-5461	669	7	notice	notice	VERB
ejpam-5461	669	8	that	that	SCONJ
ejpam-5461	669	9	nsoi	nsoi	PROPN
ejpam-5461	669	10	is	be	AUX
ejpam-5461	669	11	less	less	ADV
ejpam-5461	669	12	friendly	friendly	ADJ
ejpam-5461	669	13	,	,	PUNCT
ejpam-5461	669	14	especially	especially	ADV
ejpam-5461	669	15	in	in	ADP
ejpam-5461	669	16	the	the	DET
ejpam-5461	669	17	sense	sense	NOUN
ejpam-5461	669	18	that	that	SCONJ
ejpam-5461	669	19	the	the	DET
ejpam-5461	669	20	computations	computation	NOUN
ejpam-5461	669	21	may	may	AUX
ejpam-5461	669	22	require	require	VERB
ejpam-5461	669	23	some	some	DET
ejpam-5461	669	24	understanding	understanding	NOUN
ejpam-5461	669	25	.	.	PUNCT
ejpam-5461	670	1	•	•	NUM
ejpam-5461	670	2	the	the	DET
ejpam-5461	670	3	support	support	NOUN
ejpam-5461	670	4	of	of	ADP
ejpam-5461	670	5	multiple	multiple	ADJ
ejpam-5461	670	6	parameters	parameter	NOUN
ejpam-5461	670	7	(	(	PUNCT
ejpam-5461	670	8	mv	mv	PROPN
ejpam-5461	670	9	,	,	PUNCT
ejpam-5461	670	10	imv	imv	NOUN
ejpam-5461	670	11	and	and	CCONJ
ejpam-5461	670	12	nmv	nmv	NOUN
ejpam-5461	670	13	)	)	PUNCT
ejpam-5461	670	14	enables	enable	VERB
ejpam-5461	670	15	nsoi	nsoi	NOUN
ejpam-5461	670	16	to	to	PART
ejpam-5461	670	17	provide	provide	VERB
ejpam-5461	670	18	a	a	DET
ejpam-5461	670	19	more	more	ADV
ejpam-5461	670	20	refined	refined	ADJ
ejpam-5461	670	21	understanding	understanding	NOUN
ejpam-5461	670	22	of	of	ADP
ejpam-5461	670	23	relations	relation	NOUN
ejpam-5461	670	24	between	between	ADP
ejpam-5461	670	25	characteristics	characteristic	NOUN
ejpam-5461	670	26	.	.	PUNCT
ejpam-5461	671	1	•	•	NOUN
ejpam-5461	671	2	in	in	ADP
ejpam-5461	671	3	contrast	contrast	NOUN
ejpam-5461	671	4	,	,	PUNCT
ejpam-5461	671	5	numbers	number	NOUN
ejpam-5461	671	6	that	that	PRON
ejpam-5461	671	7	may	may	AUX
ejpam-5461	671	8	be	be	AUX
ejpam-5461	671	9	objectively	objectively	ADV
ejpam-5461	671	10	obtained	obtain	VERB
ejpam-5461	671	11	may	may	AUX
ejpam-5461	671	12	significantly	significantly	ADV
ejpam-5461	671	13	influence	influence	VERB
ejpam-5461	671	14	the	the	DET
ejpam-5461	671	15	results	result	NOUN
ejpam-5461	671	16	which	which	PRON
ejpam-5461	671	17	in	in	ADP
ejpam-5461	671	18	turn	turn	NOUN
ejpam-5461	671	19	will	will	AUX
ejpam-5461	671	20	significantly	significantly	ADV
ejpam-5461	671	21	vary	vary	VERB
ejpam-5461	671	22	from	from	ADP
ejpam-5461	671	23	one	one	NUM
ejpam-5461	671	24	analysis	analysis	NOUN
ejpam-5461	671	25	to	to	ADP
ejpam-5461	671	26	another	another	PRON
ejpam-5461	671	27	.	.	PUNCT
ejpam-5461	672	1	references	reference	NOUN
ejpam-5461	672	2	2616	2616	NUM
ejpam-5461	672	3	•	•	NOUN
ejpam-5461	672	4	however	however	ADV
ejpam-5461	672	5	,	,	PUNCT
ejpam-5461	672	6	its	its	PRON
ejpam-5461	672	7	cross	cross	ADJ
ejpam-5461	672	8	-	-	ADJ
ejpam-5461	672	9	disciplinary	disciplinary	ADJ
ejpam-5461	672	10	usefulness	usefulness	NOUN
ejpam-5461	672	11	means	mean	VERB
ejpam-5461	672	12	that	that	SCONJ
ejpam-5461	672	13	the	the	DET
ejpam-5461	672	14	nsoi	nsoi	NOUN
ejpam-5461	672	15	is	be	AUX
ejpam-5461	672	16	important	important	ADJ
ejpam-5461	672	17	;	;	PUNCT
ejpam-5461	672	18	however	however	ADV
ejpam-5461	672	19	,	,	PUNCT
ejpam-5461	672	20	the	the	DET
ejpam-5461	672	21	lack	lack	NOUN
ejpam-5461	672	22	of	of	ADP
ejpam-5461	672	23	substantial	substantial	ADJ
ejpam-5461	672	24	empirical	empirical	ADJ
ejpam-5461	672	25	research	research	NOUN
ejpam-5461	672	26	to	to	PART
ejpam-5461	672	27	support	support	VERB
ejpam-5461	672	28	the	the	DET
ejpam-5461	672	29	validity	validity	NOUN
ejpam-5461	672	30	of	of	ADP
ejpam-5461	672	31	the	the	DET
ejpam-5461	672	32	technique	technique	NOUN
ejpam-5461	672	33	means	mean	VERB
ejpam-5461	672	34	that	that	SCONJ
ejpam-5461	672	35	there	there	PRON
ejpam-5461	672	36	may	may	AUX
ejpam-5461	672	37	be	be	AUX
ejpam-5461	672	38	worries	worry	NOUN
ejpam-5461	672	39	over	over	ADP
ejpam-5461	672	40	its	its	PRON
ejpam-5461	672	41	reliability	reliability	NOUN
ejpam-5461	672	42	in	in	ADP
ejpam-5461	672	43	terms	term	NOUN
ejpam-5461	672	44	of	of	ADP
ejpam-5461	672	45	real	real	ADJ
ejpam-5461	672	46	-	-	PUNCT
ejpam-5461	672	47	life	life	NOUN
ejpam-5461	672	48	implementation	implementation	NOUN
ejpam-5461	672	49	.	.	PUNCT
ejpam-5461	673	1	5	5	X
ejpam-5461	673	2	.	.	X
ejpam-5461	673	3	conclusion	conclusion	NOUN
ejpam-5461	673	4	in	in	ADP
ejpam-5461	673	5	this	this	DET
ejpam-5461	673	6	research	research	NOUN
ejpam-5461	673	7	,	,	PUNCT
ejpam-5461	673	8	we	we	PRON
ejpam-5461	673	9	proposed	propose	VERB
ejpam-5461	673	10	the	the	DET
ejpam-5461	673	11	soi	soi	NOUN
ejpam-5461	673	12	for	for	ADP
ejpam-5461	673	13	neutrosophic	neutrosophic	ADJ
ejpam-5461	673	14	graphs	graph	NOUN
ejpam-5461	673	15	to	to	PART
ejpam-5461	673	16	measure	measure	VERB
ejpam-5461	673	17	the	the	DET
ejpam-5461	673	18	overall	overall	ADJ
ejpam-5461	673	19	structural	structural	ADJ
ejpam-5461	673	20	and	and	CCONJ
ejpam-5461	673	21	communication	communication	NOUN
ejpam-5461	673	22	resilience	resilience	NOUN
ejpam-5461	673	23	of	of	ADP
ejpam-5461	673	24	networks	network	NOUN
ejpam-5461	673	25	under	under	ADP
ejpam-5461	673	26	uncertainty	uncertainty	NOUN
ejpam-5461	673	27	.	.	PUNCT
ejpam-5461	674	1	apart	apart	ADV
ejpam-5461	674	2	from	from	ADP
ejpam-5461	674	3	setting	set	VERB
ejpam-5461	674	4	up	up	ADP
ejpam-5461	674	5	constraints	constraint	NOUN
ejpam-5461	674	6	for	for	ADP
ejpam-5461	674	7	specific	specific	ADJ
ejpam-5461	674	8	neutrosophic	neutrosophic	ADJ
ejpam-5461	674	9	graphs	graph	NOUN
ejpam-5461	674	10	,	,	PUNCT
ejpam-5461	674	11	the	the	DET
ejpam-5461	674	12	research	research	NOUN
ejpam-5461	674	13	posited	posit	VERB
ejpam-5461	674	14	the	the	DET
ejpam-5461	674	15	neutrosophic	neutrosophic	ADJ
ejpam-5461	674	16	first	first	ADJ
ejpam-5461	674	17	and	and	CCONJ
ejpam-5461	674	18	second	second	ADJ
ejpam-5461	674	19	zagreb	zagreb	PROPN
ejpam-5461	674	20	indices	index	NOUN
ejpam-5461	674	21	.	.	PUNCT
ejpam-5461	675	1	based	base	VERB
ejpam-5461	675	2	on	on	ADP
ejpam-5461	675	3	our	our	PRON
ejpam-5461	675	4	main	main	ADJ
ejpam-5461	675	5	findings	finding	NOUN
ejpam-5461	675	6	,	,	PUNCT
ejpam-5461	675	7	soi	soi	PROPN
ejpam-5461	675	8	can	can	AUX
ejpam-5461	675	9	serve	serve	VERB
ejpam-5461	675	10	as	as	ADP
ejpam-5461	675	11	a	a	DET
ejpam-5461	675	12	helpful	helpful	ADJ
ejpam-5461	675	13	instrument	instrument	NOUN
ejpam-5461	675	14	to	to	PART
ejpam-5461	675	15	reveal	reveal	VERB
ejpam-5461	675	16	structural	structural	ADJ
ejpam-5461	675	17	characteristics	characteristic	NOUN
ejpam-5461	675	18	in	in	ADP
ejpam-5461	675	19	conditions	condition	NOUN
ejpam-5461	675	20	when	when	SCONJ
ejpam-5461	675	21	their	their	PRON
ejpam-5461	675	22	nature	nature	NOUN
ejpam-5461	675	23	remains	remain	VERB
ejpam-5461	675	24	unclear	unclear	ADJ
ejpam-5461	675	25	.	.	PUNCT
ejpam-5461	676	1	the	the	DET
ejpam-5461	676	2	numerical	numerical	ADJ
ejpam-5461	676	3	analysis	analysis	NOUN
ejpam-5461	676	4	revealed	reveal	VERB
ejpam-5461	676	5	that	that	SCONJ
ejpam-5461	676	6	the	the	DET
ejpam-5461	676	7	maximum	maximum	ADJ
ejpam-5461	676	8	value	value	NOUN
ejpam-5461	676	9	of	of	ADP
ejpam-5461	676	10	the	the	DET
ejpam-5461	676	11	soi	soi	ADJ
ejpam-5461	676	12	corresponds	correspond	NOUN
ejpam-5461	676	13	to	to	ADP
ejpam-5461	676	14	the	the	DET
ejpam-5461	676	15	critical	critical	ADJ
ejpam-5461	676	16	components	component	NOUN
ejpam-5461	676	17	that	that	PRON
ejpam-5461	676	18	should	should	AUX
ejpam-5461	676	19	be	be	AUX
ejpam-5461	676	20	given	give	VERB
ejpam-5461	676	21	more	more	ADJ
ejpam-5461	676	22	focus	focus	NOUN
ejpam-5461	676	23	when	when	SCONJ
ejpam-5461	676	24	choosing	choose	VERB
ejpam-5461	676	25	the	the	DET
ejpam-5461	676	26	right	right	ADJ
ejpam-5461	676	27	location	location	NOUN
ejpam-5461	676	28	of	of	ADP
ejpam-5461	676	29	thermal	thermal	ADJ
ejpam-5461	676	30	power	power	NOUN
ejpam-5461	676	31	plants	plant	NOUN
ejpam-5461	676	32	taking	take	VERB
ejpam-5461	676	33	into	into	ADP
ejpam-5461	676	34	account	account	NOUN
ejpam-5461	676	35	the	the	DET
ejpam-5461	676	36	former	former	ADJ
ejpam-5461	676	37	’s	’s	PART
ejpam-5461	676	38	operation	operation	NOUN
ejpam-5461	676	39	efficiency	efficiency	NOUN
ejpam-5461	676	40	with	with	ADP
ejpam-5461	676	41	the	the	DET
ejpam-5461	676	42	later	later	ADJ
ejpam-5461	676	43	’s	’s	PART
ejpam-5461	676	44	operational	operational	ADJ
ejpam-5461	676	45	constraints	constraint	NOUN
ejpam-5461	676	46	.	.	PUNCT
ejpam-5461	677	1	ngs	ng	NOUN
ejpam-5461	677	2	could	could	AUX
ejpam-5461	677	3	be	be	AUX
ejpam-5461	677	4	employed	employ	VERB
ejpam-5461	677	5	to	to	PART
ejpam-5461	677	6	achieve	achieve	VERB
ejpam-5461	677	7	rational	rational	ADJ
ejpam-5461	677	8	criteria	criterion	NOUN
ejpam-5461	677	9	in	in	ADP
ejpam-5461	677	10	the	the	DET
ejpam-5461	677	11	decision	decision	NOUN
ejpam-5461	677	12	-	-	PUNCT
ejpam-5461	677	13	making	make	VERB
ejpam-5461	677	14	processes	process	NOUN
ejpam-5461	677	15	,	,	PUNCT
ejpam-5461	677	16	particularly	particularly	ADV
ejpam-5461	677	17	in	in	ADP
ejpam-5461	677	18	complex	complex	ADJ
ejpam-5461	677	19	ones	one	NOUN
ejpam-5461	677	20	.	.	PUNCT
ejpam-5461	678	1	this	this	DET
ejpam-5461	678	2	research	research	NOUN
ejpam-5461	678	3	is	be	AUX
ejpam-5461	678	4	important	important	ADJ
ejpam-5461	678	5	because	because	SCONJ
ejpam-5461	678	6	it	it	PRON
ejpam-5461	678	7	bridges	bridge	VERB
ejpam-5461	678	8	the	the	DET
ejpam-5461	678	9	gap	gap	NOUN
ejpam-5461	678	10	between	between	ADP
ejpam-5461	678	11	works	work	NOUN
ejpam-5461	678	12	proposing	propose	VERB
ejpam-5461	678	13	such	such	ADJ
ejpam-5461	678	14	indices	index	NOUN
ejpam-5461	678	15	and	and	CCONJ
ejpam-5461	678	16	their	their	PRON
ejpam-5461	678	17	feasible	feasible	ADJ
ejpam-5461	678	18	realizations	realization	NOUN
ejpam-5461	678	19	.	.	PUNCT
ejpam-5461	679	1	5.1	5.1	NUM
ejpam-5461	679	2	.	.	PUNCT
ejpam-5461	680	1	future	future	ADJ
ejpam-5461	680	2	work	work	NOUN
ejpam-5461	680	3	wiener	wiener	NOUN
ejpam-5461	680	4	index	index	NOUN
ejpam-5461	680	5	,	,	PUNCT
ejpam-5461	680	6	zagreb	zagreb	PROPN
ejpam-5461	680	7	indices	index	NOUN
ejpam-5461	680	8	,	,	PUNCT
ejpam-5461	680	9	randic	randic	ADJ
ejpam-5461	680	10	type	type	NOUN
ejpam-5461	680	11	indices	index	NOUN
ejpam-5461	680	12	,	,	PUNCT
ejpam-5461	680	13	schult	schult	ADJ
ejpam-5461	680	14	type	type	NOUN
ejpam-5461	680	15	indices	index	NOUN
ejpam-5461	680	16	,	,	PUNCT
ejpam-5461	680	17	dominating	dominating	NOUN
ejpam-5461	680	18	indice	indice	NOUN
ejpam-5461	680	19	of	of	ADP
ejpam-5461	680	20	neutrosophic	neutrosophic	ADJ
ejpam-5461	680	21	graph	graph	NOUN
ejpam-5461	680	22	and	and	CCONJ
ejpam-5461	680	23	its	its	PRON
ejpam-5461	680	24	applications	application	NOUN
ejpam-5461	680	25	.	.	PUNCT
ejpam-5461	681	1	references	reference	NOUN
ejpam-5461	681	2	[	[	X
ejpam-5461	681	3	1	1	NUM
ejpam-5461	681	4	]	]	X
ejpam-5461	681	5	u.	u.	PROPN
ejpam-5461	681	6	ahmad	ahmad	PROPN
ejpam-5461	681	7	,	,	PUNCT
ejpam-5461	681	8	n.k	n.k	PROPN
ejpam-5461	681	9	.	.	PROPN
ejpam-5461	681	10	khan	khan	PROPN
ejpam-5461	681	11	,	,	PUNCT
ejpam-5461	681	12	and	and	CCONJ
ejpam-5461	681	13	a.b	a.b	PROPN
ejpam-5461	681	14	.	.	PROPN
ejpam-5461	681	15	saeid	saeid	PROPN
ejpam-5461	681	16	.	.	PUNCT
ejpam-5461	682	1	fuzzy	fuzzy	ADJ
ejpam-5461	682	2	topological	topological	ADJ
ejpam-5461	682	3	indices	index	NOUN
ejpam-5461	682	4	with	with	ADP
ejpam-5461	682	5	application	application	NOUN
ejpam-5461	682	6	to	to	ADP
ejpam-5461	682	7	cybercrime	cybercrime	NOUN
ejpam-5461	682	8	problem	problem	NOUN
ejpam-5461	682	9	.	.	PUNCT
ejpam-5461	683	1	granular	granular	ADJ
ejpam-5461	683	2	computing	computing	NOUN
ejpam-5461	683	3	,	,	PUNCT
ejpam-5461	683	4	8:967–980	8:967–980	NUM
ejpam-5461	683	5	,	,	PUNCT
ejpam-5461	683	6	2023	2023	NUM
ejpam-5461	683	7	.	.	PUNCT
ejpam-5461	684	1	[	[	X
ejpam-5461	684	2	2	2	NUM
ejpam-5461	684	3	]	]	PUNCT
ejpam-5461	684	4	m.	m.	NOUN
ejpam-5461	684	5	akram	akram	PROPN
ejpam-5461	684	6	and	and	CCONJ
ejpam-5461	684	7	r.	r.	PROPN
ejpam-5461	684	8	akmal	akmal	PROPN
ejpam-5461	684	9	.	.	PUNCT
ejpam-5461	685	1	operations	operation	NOUN
ejpam-5461	685	2	on	on	ADP
ejpam-5461	685	3	intuitionistic	intuitionistic	ADJ
ejpam-5461	685	4	fuzzy	fuzzy	ADJ
ejpam-5461	685	5	graph	graph	NOUN
ejpam-5461	685	6	structures	structure	NOUN
ejpam-5461	685	7	.	.	PUNCT
ejpam-5461	686	1	fuzzy	fuzzy	ADJ
ejpam-5461	686	2	information	information	NOUN
ejpam-5461	686	3	and	and	CCONJ
ejpam-5461	686	4	engineering	engineering	NOUN
ejpam-5461	686	5	,	,	PUNCT
ejpam-5461	686	6	8(4):389–410	8(4):389–410	NUM
ejpam-5461	686	7	,	,	PUNCT
ejpam-5461	686	8	2016	2016	NUM
ejpam-5461	686	9	.	.	PUNCT
ejpam-5461	687	1	[	[	X
ejpam-5461	687	2	3	3	X
ejpam-5461	687	3	]	]	PUNCT
ejpam-5461	687	4	m.	m.	NOUN
ejpam-5461	687	5	akram	akram	PROPN
ejpam-5461	687	6	and	and	CCONJ
ejpam-5461	687	7	b.	b.	PROPN
ejpam-5461	687	8	davvaz	davvaz	PROPN
ejpam-5461	687	9	.	.	PUNCT
ejpam-5461	688	1	strong	strong	ADJ
ejpam-5461	688	2	intuitionistic	intuitionistic	ADJ
ejpam-5461	688	3	fuzzy	fuzzy	ADJ
ejpam-5461	688	4	graphs	graph	NOUN
ejpam-5461	688	5	.	.	PUNCT
ejpam-5461	689	1	filomat	filomat	NOUN
ejpam-5461	689	2	,	,	PUNCT
ejpam-5461	689	3	26(1):177–196	26(1):177–196	PROPN
ejpam-5461	689	4	,	,	PUNCT
ejpam-5461	689	5	2012	2012	NUM
ejpam-5461	689	6	.	.	PUNCT
ejpam-5461	690	1	[	[	X
ejpam-5461	690	2	4	4	NUM
ejpam-5461	690	3	]	]	X
ejpam-5461	690	4	w.f	w.f	PROPN
ejpam-5461	690	5	.	.	PUNCT
ejpam-5461	690	6	al	al	PROPN
ejpam-5461	690	7	-	-	PUNCT
ejpam-5461	690	8	omeri	omeri	PROPN
ejpam-5461	690	9	and	and	CCONJ
ejpam-5461	690	10	m.	m.	NOUN
ejpam-5461	690	11	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	690	12	.	.	PUNCT
ejpam-5461	690	13	study	study	PROPN
ejpam-5461	690	14	on	on	ADP
ejpam-5461	690	15	neutrosophic	neutrosophic	ADJ
ejpam-5461	690	16	graph	graph	NOUN
ejpam-5461	690	17	with	with	ADP
ejpam-5461	690	18	application	application	NOUN
ejpam-5461	690	19	on	on	ADP
ejpam-5461	690	20	earthquake	earthquake	NOUN
ejpam-5461	690	21	response	response	NOUN
ejpam-5461	690	22	center	center	NOUN
ejpam-5461	690	23	in	in	ADP
ejpam-5461	690	24	japan	japan	PROPN
ejpam-5461	690	25	.	.	PUNCT
ejpam-5461	691	1	symmetry	symmetry	PROPN
ejpam-5461	691	2	,	,	PUNCT
ejpam-5461	691	3	16:743	16:743	NUM
ejpam-5461	691	4	,	,	PUNCT
ejpam-5461	691	5	2024	2024	NUM
ejpam-5461	691	6	.	.	PUNCT
ejpam-5461	692	1	[	[	X
ejpam-5461	692	2	5	5	NUM
ejpam-5461	692	3	]	]	PUNCT
ejpam-5461	692	4	m.	m.	NOUN
ejpam-5461	692	5	alqahtani	alqahtani	PROPN
ejpam-5461	692	6	,	,	PUNCT
ejpam-5461	692	7	m.	m.	NOUN
ejpam-5461	692	8	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	692	9	,	,	PUNCT
ejpam-5461	692	10	a.	a.	PROPN
ejpam-5461	692	11	al	al	PROPN
ejpam-5461	692	12	-	-	PROPN
ejpam-5461	692	13	masarwah	masarwah	NOUN
ejpam-5461	692	14	,	,	PUNCT
ejpam-5461	692	15	and	and	CCONJ
ejpam-5461	692	16	m.	m.	NOUN
ejpam-5461	692	17	rajeshwari	rajeshwari	PROPN
ejpam-5461	692	18	.	.	PUNCT
ejpam-5461	693	1	application	application	NOUN
ejpam-5461	693	2	of	of	ADP
ejpam-5461	693	3	complex	complex	ADJ
ejpam-5461	693	4	neutrosophic	neutrosophic	ADJ
ejpam-5461	693	5	graphs	graph	NOUN
ejpam-5461	693	6	in	in	ADP
ejpam-5461	693	7	hospital	hospital	NOUN
ejpam-5461	693	8	infrastructure	infrastructure	NOUN
ejpam-5461	693	9	design	design	NOUN
ejpam-5461	693	10	.	.	PUNCT
ejpam-5461	694	1	mathematics	mathematic	NOUN
ejpam-5461	694	2	,	,	PUNCT
ejpam-5461	694	3	12:719	12:719	NUM
ejpam-5461	694	4	,	,	PUNCT
ejpam-5461	694	5	2024	2024	NUM
ejpam-5461	694	6	.	.	PUNCT
ejpam-5461	695	1	[	[	X
ejpam-5461	695	2	6	6	NUM
ejpam-5461	695	3	]	]	PUNCT
ejpam-5461	695	4	s.	s.	PROPN
ejpam-5461	695	5	anwar	anwar	PROPN
ejpam-5461	695	6	,	,	PUNCT
ejpam-5461	695	7	m.	m.	PROPN
ejpam-5461	695	8	azeem	azeem	PROPN
ejpam-5461	695	9	,	,	PUNCT
ejpam-5461	695	10	m.k	m.k	PROPN
ejpam-5461	695	11	.	.	PROPN
ejpam-5461	695	12	jamil	jamil	PROPN
ejpam-5461	695	13	,	,	PUNCT
ejpam-5461	695	14	and	and	CCONJ
ejpam-5461	695	15	et	et	PROPN
ejpam-5461	695	16	al	al	PROPN
ejpam-5461	695	17	.	.	PROPN
ejpam-5461	695	18	single	single	PROPN
ejpam-5461	695	19	-	-	PUNCT
ejpam-5461	695	20	valued	value	VERB
ejpam-5461	695	21	neutrosophic	neutrosophic	ADJ
ejpam-5461	695	22	fuzzy	fuzzy	ADJ
ejpam-5461	695	23	sombor	sombor	NOUN
ejpam-5461	695	24	numbers	number	NOUN
ejpam-5461	695	25	and	and	CCONJ
ejpam-5461	695	26	their	their	PRON
ejpam-5461	695	27	applications	application	NOUN
ejpam-5461	695	28	in	in	ADP
ejpam-5461	695	29	trade	trade	NOUN
ejpam-5461	695	30	flows	flow	NOUN
ejpam-5461	695	31	between	between	ADP
ejpam-5461	695	32	different	different	ADJ
ejpam-5461	695	33	countries	country	NOUN
ejpam-5461	695	34	via	via	ADP
ejpam-5461	695	35	sea	sea	NOUN
ejpam-5461	695	36	route	route	NOUN
ejpam-5461	695	37	.	.	PUNCT
ejpam-5461	696	1	journal	journal	NOUN
ejpam-5461	696	2	of	of	ADP
ejpam-5461	696	3	supercomputing	supercomputing	NOUN
ejpam-5461	696	4	,	,	PUNCT
ejpam-5461	696	5	80:19976–20019	80:19976–20019	NUM
ejpam-5461	696	6	,	,	PUNCT
ejpam-5461	696	7	2024	2024	NUM
ejpam-5461	696	8	.	.	PUNCT
ejpam-5461	697	1	[	[	X
ejpam-5461	697	2	7	7	X
ejpam-5461	697	3	]	]	PUNCT
ejpam-5461	697	4	k.	k.	PROPN
ejpam-5461	697	5	atanassov	atanassov	PROPN
ejpam-5461	697	6	.	.	PUNCT
ejpam-5461	698	1	generalized	generalize	VERB
ejpam-5461	698	2	nets	net	NOUN
ejpam-5461	698	3	and	and	CCONJ
ejpam-5461	698	4	intuitionistic	intuitionistic	ADJ
ejpam-5461	698	5	fuzziness	fuzziness	NOUN
ejpam-5461	698	6	as	as	ADP
ejpam-5461	698	7	tools	tool	NOUN
ejpam-5461	698	8	for	for	ADP
ejpam-5461	698	9	modeling	modeling	NOUN
ejpam-5461	698	10	of	of	ADP
ejpam-5461	698	11	data	datum	NOUN
ejpam-5461	698	12	mining	mining	NOUN
ejpam-5461	698	13	processes	process	NOUN
ejpam-5461	698	14	and	and	CCONJ
ejpam-5461	698	15	tools	tool	NOUN
ejpam-5461	698	16	.	.	PUNCT
ejpam-5461	699	1	notes	note	NOUN
ejpam-5461	699	2	on	on	ADP
ejpam-5461	699	3	intuitionistic	intuitionistic	ADJ
ejpam-5461	699	4	fuzzy	fuzzy	ADJ
ejpam-5461	699	5	sets	set	NOUN
ejpam-5461	699	6	,	,	PUNCT
ejpam-5461	699	7	26(4):9–52	26(4):9–52	NUM
ejpam-5461	699	8	,	,	PUNCT
ejpam-5461	699	9	2020	2020	NUM
ejpam-5461	699	10	.	.	PUNCT
ejpam-5461	700	1	[	[	X
ejpam-5461	700	2	8	8	NUM
ejpam-5461	700	3	]	]	X
ejpam-5461	700	4	m.	m.	NOUN
ejpam-5461	700	5	azam	azam	PROPN
ejpam-5461	700	6	,	,	PUNCT
ejpam-5461	700	7	m.s.a	m.s.a	PROPN
ejpam-5461	700	8	.	.	PUNCT
ejpam-5461	700	9	khan	khan	PROPN
ejpam-5461	700	10	,	,	PUNCT
ejpam-5461	700	11	s.	s.	PROPN
ejpam-5461	700	12	yang	yang	PROPN
ejpam-5461	700	13	,	,	PUNCT
ejpam-5461	700	14	s.u	s.u	PROPN
ejpam-5461	700	15	.	.	PROPN
ejpam-5461	700	16	jan	jan	PROPN
ejpam-5461	700	17	,	,	PUNCT
ejpam-5461	700	18	t.	t.	PROPN
ejpam-5461	700	19	senapati	senapati	PROPN
ejpam-5461	700	20	,	,	PUNCT
ejpam-5461	700	21	s.	s.	PROPN
ejpam-5461	700	22	moslem	moslem	PROPN
ejpam-5461	700	23	,	,	PUNCT
ejpam-5461	700	24	and	and	CCONJ
ejpam-5461	700	25	w.k	w.k	PROPN
ejpam-5461	700	26	.	.	PROPN
ejpam-5461	700	27	mashwani	mashwani	PROPN
ejpam-5461	700	28	.	.	PUNCT
ejpam-5461	701	1	novel	novel	NOUN
ejpam-5461	701	2	dual	dual	ADJ
ejpam-5461	701	3	partitioned	partition	VERB
ejpam-5461	701	4	maclaurin	maclaurin	NOUN
ejpam-5461	701	5	symmetric	symmetric	ADJ
ejpam-5461	701	6	mean	mean	NOUN
ejpam-5461	701	7	operators	operator	NOUN
ejpam-5461	701	8	for	for	ADP
ejpam-5461	701	9	the	the	DET
ejpam-5461	701	10	selection	selection	NOUN
ejpam-5461	701	11	of	of	ADP
ejpam-5461	701	12	computer	computer	NOUN
ejpam-5461	701	13	network	network	NOUN
ejpam-5461	701	14	security	security	NOUN
ejpam-5461	701	15	system	system	NOUN
ejpam-5461	701	16	with	with	ADP
ejpam-5461	701	17	complex	complex	ADJ
ejpam-5461	701	18	intuitionistic	intuitionistic	ADJ
ejpam-5461	701	19	fuzzy	fuzzy	ADJ
ejpam-5461	701	20	setting	setting	NOUN
ejpam-5461	701	21	.	.	PUNCT
ejpam-5461	702	1	ieee	ieee	NOUN
ejpam-5461	702	2	access	access	NOUN
ejpam-5461	702	3	,	,	PUNCT
ejpam-5461	702	4	11:85050	11:85050	NUM
ejpam-5461	702	5	–	–	PUNCT
ejpam-5461	702	6	85066	85066	NUM
ejpam-5461	702	7	,	,	PUNCT
ejpam-5461	702	8	2023	2023	NUM
ejpam-5461	702	9	.	.	PUNCT
ejpam-5461	703	1	references	reference	NOUN
ejpam-5461	703	2	2617	2617	NUM
ejpam-5461	703	3	[	[	X
ejpam-5461	703	4	9	9	NUM
ejpam-5461	703	5	]	]	PUNCT
ejpam-5461	703	6	m.	m.	NOUN
ejpam-5461	703	7	azeem	azeem	PROPN
ejpam-5461	703	8	,	,	PUNCT
ejpam-5461	703	9	m.f	m.f	PROPN
ejpam-5461	703	10	.	.	PROPN
ejpam-5461	703	11	nadeem	nadeem	PROPN
ejpam-5461	703	12	,	,	PUNCT
ejpam-5461	703	13	a.	a.	PROPN
ejpam-5461	703	14	khalil	khalil	PROPN
ejpam-5461	703	15	,	,	PUNCT
ejpam-5461	703	16	and	and	CCONJ
ejpam-5461	703	17	a.	a.	NOUN
ejpam-5461	703	18	ahmad	ahmad	PROPN
ejpam-5461	703	19	.	.	PUNCT
ejpam-5461	704	1	on	on	ADP
ejpam-5461	704	2	the	the	DET
ejpam-5461	704	3	bounded	bounded	ADJ
ejpam-5461	704	4	partition	partition	NOUN
ejpam-5461	704	5	dimension	dimension	NOUN
ejpam-5461	704	6	of	of	ADP
ejpam-5461	704	7	some	some	DET
ejpam-5461	704	8	classes	class	NOUN
ejpam-5461	704	9	of	of	ADP
ejpam-5461	704	10	convex	convex	NOUN
ejpam-5461	704	11	polytopes	polytope	NOUN
ejpam-5461	704	12	.	.	PUNCT
ejpam-5461	705	1	discrete	discrete	ADJ
ejpam-5461	705	2	mathematics	mathematic	NOUN
ejpam-5461	705	3	,	,	PUNCT
ejpam-5461	705	4	science	science	NOUN
ejpam-5461	705	5	and	and	CCONJ
ejpam-5461	705	6	cryptography	cryptography	NOUN
ejpam-5461	705	7	,	,	PUNCT
ejpam-5461	705	8	2020	2020	NUM
ejpam-5461	705	9	.	.	PUNCT
ejpam-5461	706	1	[	[	X
ejpam-5461	706	2	10	10	NUM
ejpam-5461	706	3	]	]	PUNCT
ejpam-5461	706	4	j.	j.	PROPN
ejpam-5461	706	5	bera	bera	PROPN
ejpam-5461	706	6	,	,	PUNCT
ejpam-5461	706	7	k.c	k.c	PROPN
ejpam-5461	706	8	.	.	PUNCT
ejpam-5461	706	9	das	das	PROPN
ejpam-5461	706	10	,	,	PUNCT
ejpam-5461	706	11	s.	s.	PROPN
ejpam-5461	706	12	samanta	samanta	PROPN
ejpam-5461	706	13	,	,	PUNCT
ejpam-5461	706	14	and	and	CCONJ
ejpam-5461	706	15	j.-g	j.-g	PROPN
ejpam-5461	706	16	.	.	PUNCT
ejpam-5461	707	1	lee	lee	PROPN
ejpam-5461	707	2	.	.	PUNCT
ejpam-5461	708	1	connectivity	connectivity	NOUN
ejpam-5461	708	2	status	status	NOUN
ejpam-5461	708	3	of	of	ADP
ejpam-5461	708	4	intuitionistic	intuitionistic	ADJ
ejpam-5461	708	5	fuzzy	fuzzy	ADJ
ejpam-5461	708	6	graph	graph	NOUN
ejpam-5461	708	7	and	and	CCONJ
ejpam-5461	708	8	its	its	PRON
ejpam-5461	708	9	application	application	NOUN
ejpam-5461	708	10	to	to	ADP
ejpam-5461	708	11	merging	merge	VERB
ejpam-5461	708	12	of	of	ADP
ejpam-5461	708	13	banks	bank	NOUN
ejpam-5461	708	14	.	.	PUNCT
ejpam-5461	709	1	mathematics	mathematic	NOUN
ejpam-5461	709	2	,	,	PUNCT
ejpam-5461	709	3	11(8):1949	11(8):1949	NUM
ejpam-5461	709	4	,	,	PUNCT
ejpam-5461	709	5	2023	2023	NUM
ejpam-5461	709	6	.	.	PUNCT
ejpam-5461	710	1	[	[	X
ejpam-5461	710	2	11	11	NUM
ejpam-5461	710	3	]	]	PUNCT
ejpam-5461	710	4	a.	a.	NOUN
ejpam-5461	710	5	bhattacharya	bhattacharya	PROPN
ejpam-5461	710	6	and	and	CCONJ
ejpam-5461	710	7	m.	m.	PROPN
ejpam-5461	710	8	pal	pal	PROPN
ejpam-5461	710	9	.	.	PUNCT
ejpam-5461	711	1	a	a	DET
ejpam-5461	711	2	fuzzy	fuzzy	ADJ
ejpam-5461	711	3	graph	graph	NOUN
ejpam-5461	711	4	theory	theory	NOUN
ejpam-5461	711	5	approach	approach	NOUN
ejpam-5461	711	6	to	to	ADP
ejpam-5461	711	7	the	the	DET
ejpam-5461	711	8	facility	facility	NOUN
ejpam-5461	711	9	location	location	NOUN
ejpam-5461	711	10	problem	problem	NOUN
ejpam-5461	711	11	:	:	PUNCT
ejpam-5461	711	12	a	a	DET
ejpam-5461	711	13	case	case	NOUN
ejpam-5461	711	14	study	study	NOUN
ejpam-5461	711	15	in	in	ADP
ejpam-5461	711	16	the	the	DET
ejpam-5461	711	17	indian	indian	ADJ
ejpam-5461	711	18	banking	banking	NOUN
ejpam-5461	711	19	system	system	NOUN
ejpam-5461	711	20	.	.	PUNCT
ejpam-5461	712	1	mathematics	mathematic	NOUN
ejpam-5461	712	2	,	,	PUNCT
ejpam-5461	712	3	11(13):2992	11(13):2992	NUM
ejpam-5461	712	4	,	,	PUNCT
ejpam-5461	712	5	2023	2023	NUM
ejpam-5461	712	6	.	.	PUNCT
ejpam-5461	713	1	[	[	X
ejpam-5461	713	2	12	12	NUM
ejpam-5461	713	3	]	]	PUNCT
ejpam-5461	713	4	m.	m.	NOUN
ejpam-5461	713	5	blue	blue	PROPN
ejpam-5461	713	6	,	,	PUNCT
ejpam-5461	713	7	b.	b.	PROPN
ejpam-5461	713	8	bush	bush	PROPN
ejpam-5461	713	9	,	,	PUNCT
ejpam-5461	713	10	and	and	CCONJ
ejpam-5461	713	11	j.	j.	PROPN
ejpam-5461	713	12	puckett	puckett	PROPN
ejpam-5461	713	13	.	.	PUNCT
ejpam-5461	714	1	unified	unified	ADJ
ejpam-5461	714	2	approach	approach	NOUN
ejpam-5461	714	3	to	to	ADP
ejpam-5461	714	4	fuzzy	fuzzy	ADJ
ejpam-5461	714	5	graph	graph	NOUN
ejpam-5461	714	6	problems	problem	NOUN
ejpam-5461	714	7	.	.	PUNCT
ejpam-5461	715	1	fuzzy	fuzzy	ADJ
ejpam-5461	715	2	sets	set	NOUN
ejpam-5461	715	3	and	and	CCONJ
ejpam-5461	715	4	systems	system	NOUN
ejpam-5461	715	5	,	,	PUNCT
ejpam-5461	715	6	125(3):355–368	125(3):355–368	NUM
ejpam-5461	715	7	,	,	PUNCT
ejpam-5461	715	8	2002	2002	NUM
ejpam-5461	715	9	.	.	PUNCT
ejpam-5461	716	1	[	[	X
ejpam-5461	716	2	13	13	NUM
ejpam-5461	716	3	]	]	X
ejpam-5461	716	4	k.c	k.c	PROPN
ejpam-5461	716	5	.	.	PUNCT
ejpam-5461	716	6	das	das	PROPN
ejpam-5461	716	7	,	,	PUNCT
ejpam-5461	716	8	a.s	a.s	PROPN
ejpam-5461	716	9	.	.	PROPN
ejpam-5461	716	10	cevik	cevik	PROPN
ejpam-5461	716	11	,	,	PUNCT
ejpam-5461	716	12	i.n	i.n	PROPN
ejpam-5461	716	13	.	.	PROPN
ejpam-5461	716	14	cangul	cangul	PROPN
ejpam-5461	716	15	,	,	PUNCT
ejpam-5461	716	16	and	and	CCONJ
ejpam-5461	716	17	y.	y.	PROPN
ejpam-5461	716	18	shang	shang	PROPN
ejpam-5461	716	19	.	.	PUNCT
ejpam-5461	717	1	on	on	ADP
ejpam-5461	717	2	sombor	sombor	NOUN
ejpam-5461	717	3	index	index	PROPN
ejpam-5461	717	4	.	.	PUNCT
ejpam-5461	718	1	symmetry	symmetry	PROPN
ejpam-5461	718	2	,	,	PUNCT
ejpam-5461	718	3	13(1):140	13(1):140	NUM
ejpam-5461	718	4	,	,	PUNCT
ejpam-5461	718	5	2021	2021	NUM
ejpam-5461	718	6	.	.	PUNCT
ejpam-5461	719	1	[	[	X
ejpam-5461	719	2	14	14	NUM
ejpam-5461	719	3	]	]	X
ejpam-5461	719	4	r.	r.	PROPN
ejpam-5461	719	5	das	das	PROPN
ejpam-5461	719	6	,	,	PUNCT
ejpam-5461	719	7	l.	l.	PROPN
ejpam-5461	719	8	sahoo	sahoo	PROPN
ejpam-5461	719	9	,	,	PUNCT
ejpam-5461	719	10	s.	s.	PROPN
ejpam-5461	719	11	samanta	samanta	PROPN
ejpam-5461	719	12	,	,	PUNCT
ejpam-5461	719	13	v.	v.	PROPN
ejpam-5461	719	14	simic	simic	PROPN
ejpam-5461	719	15	,	,	PUNCT
ejpam-5461	719	16	and	and	CCONJ
ejpam-5461	719	17	t.	t.	PROPN
ejpam-5461	719	18	senapati	senapati	PROPN
ejpam-5461	719	19	.	.	PUNCT
ejpam-5461	720	1	identifying	identify	VERB
ejpam-5461	720	2	the	the	DET
ejpam-5461	720	3	shortest	short	ADJ
ejpam-5461	720	4	path	path	NOUN
ejpam-5461	720	5	of	of	ADP
ejpam-5461	720	6	a	a	DET
ejpam-5461	720	7	semidirected	semidirecte	VERB
ejpam-5461	720	8	graph	graph	NOUN
ejpam-5461	720	9	and	and	CCONJ
ejpam-5461	720	10	its	its	PRON
ejpam-5461	720	11	application	application	NOUN
ejpam-5461	720	12	.	.	PUNCT
ejpam-5461	721	1	mathematics	mathematic	NOUN
ejpam-5461	721	2	,	,	PUNCT
ejpam-5461	721	3	10(24):4807	10(24):4807	NUM
ejpam-5461	721	4	,	,	PUNCT
ejpam-5461	721	5	2022	2022	NUM
ejpam-5461	721	6	.	.	PUNCT
ejpam-5461	722	1	[	[	X
ejpam-5461	722	2	15	15	NUM
ejpam-5461	722	3	]	]	X
ejpam-5461	722	4	b.	b.	PROPN
ejpam-5461	722	5	davvaz	davvaz	PROPN
ejpam-5461	722	6	,	,	PUNCT
ejpam-5461	722	7	n.	n.	PROPN
ejpam-5461	722	8	jan	jan	PROPN
ejpam-5461	722	9	,	,	PUNCT
ejpam-5461	722	10	t.	t.	PROPN
ejpam-5461	722	11	mahmood	mahmood	PROPN
ejpam-5461	722	12	,	,	PUNCT
ejpam-5461	722	13	and	and	CCONJ
ejpam-5461	722	14	k.	k.	PROPN
ejpam-5461	722	15	ullah	ullah	PROPN
ejpam-5461	722	16	.	.	PUNCT
ejpam-5461	723	1	intuitionistic	intuitionistic	ADJ
ejpam-5461	723	2	fuzzy	fuzzy	ADJ
ejpam-5461	723	3	graphs	graph	NOUN
ejpam-5461	723	4	of	of	ADP
ejpam-5461	723	5	nth	nth	ADJ
ejpam-5461	723	6	type	type	NOUN
ejpam-5461	723	7	with	with	ADP
ejpam-5461	723	8	applications	application	NOUN
ejpam-5461	723	9	.	.	PUNCT
ejpam-5461	724	1	journal	journal	NOUN
ejpam-5461	724	2	of	of	ADP
ejpam-5461	724	3	intelligent	intelligent	ADJ
ejpam-5461	724	4	fuzzy	fuzzy	ADJ
ejpam-5461	724	5	systems	system	NOUN
ejpam-5461	724	6	,	,	PUNCT
ejpam-5461	724	7	36(4):3923–3932	36(4):3923–3932	NUM
ejpam-5461	724	8	,	,	PUNCT
ejpam-5461	724	9	2019	2019	NUM
ejpam-5461	724	10	.	.	PUNCT
ejpam-5461	725	1	[	[	X
ejpam-5461	725	2	16	16	NUM
ejpam-5461	725	3	]	]	PUNCT
ejpam-5461	725	4	j.	j.	PROPN
ejpam-5461	725	5	dinar	dinar	PROPN
ejpam-5461	725	6	,	,	PUNCT
ejpam-5461	725	7	z.	z.	PROPN
ejpam-5461	725	8	hussain	hussain	PROPN
ejpam-5461	725	9	,	,	PUNCT
ejpam-5461	725	10	s.	s.	PROPN
ejpam-5461	725	11	zaman	zaman	PROPN
ejpam-5461	725	12	,	,	PUNCT
ejpam-5461	725	13	and	and	CCONJ
ejpam-5461	725	14	s.u	s.u	PROPN
ejpam-5461	725	15	.	.	PROPN
ejpam-5461	725	16	rehman	rehman	PROPN
ejpam-5461	725	17	.	.	PUNCT
ejpam-5461	726	1	wiener	wiener	NOUN
ejpam-5461	726	2	index	index	NOUN
ejpam-5461	726	3	for	for	ADP
ejpam-5461	726	4	an	an	DET
ejpam-5461	726	5	intuitionistic	intuitionistic	ADJ
ejpam-5461	726	6	fuzzy	fuzzy	ADJ
ejpam-5461	726	7	graph	graph	NOUN
ejpam-5461	726	8	and	and	CCONJ
ejpam-5461	726	9	its	its	PRON
ejpam-5461	726	10	application	application	NOUN
ejpam-5461	726	11	in	in	ADP
ejpam-5461	726	12	water	water	NOUN
ejpam-5461	726	13	pipeline	pipeline	NOUN
ejpam-5461	726	14	network	network	NOUN
ejpam-5461	726	15	.	.	PUNCT
ejpam-5461	727	1	ain	ain	PROPN
ejpam-5461	727	2	shams	sham	VERB
ejpam-5461	727	3	engineering	engineering	NOUN
ejpam-5461	727	4	journal	journal	PROPN
ejpam-5461	727	5	,	,	PUNCT
ejpam-5461	727	6	14(1):101826	14(1):101826	NUM
ejpam-5461	727	7	,	,	PUNCT
ejpam-5461	727	8	2023	2023	NUM
ejpam-5461	727	9	.	.	PUNCT
ejpam-5461	728	1	[	[	X
ejpam-5461	728	2	17	17	NUM
ejpam-5461	728	3	]	]	PUNCT
ejpam-5461	728	4	l.	l.	PROPN
ejpam-5461	728	5	feng	feng	PROPN
ejpam-5461	728	6	,	,	PUNCT
ejpam-5461	728	7	x.	x.	PROPN
ejpam-5461	728	8	zhu	zhu	PROPN
ejpam-5461	728	9	,	,	PUNCT
ejpam-5461	728	10	and	and	CCONJ
ejpam-5461	728	11	w.	w.	PROPN
ejpam-5461	728	12	liu	liu	PROPN
ejpam-5461	728	13	.	.	PROPN
ejpam-5461	729	1	wiener	wiener	PROPN
ejpam-5461	729	2	index	index	PROPN
ejpam-5461	729	3	,	,	PUNCT
ejpam-5461	729	4	harary	harary	NOUN
ejpam-5461	729	5	index	index	NOUN
ejpam-5461	729	6	and	and	CCONJ
ejpam-5461	729	7	graph	graph	NOUN
ejpam-5461	729	8	properties	property	NOUN
ejpam-5461	729	9	.	.	PUNCT
ejpam-5461	730	1	discrete	discrete	ADJ
ejpam-5461	730	2	applied	apply	VERB
ejpam-5461	730	3	mathematics	mathematic	NOUN
ejpam-5461	730	4	,	,	PUNCT
ejpam-5461	730	5	223:72–83	223:72–83	PROPN
ejpam-5461	730	6	,	,	PUNCT
ejpam-5461	730	7	2017	2017	NUM
ejpam-5461	730	8	.	.	PUNCT
ejpam-5461	731	1	[	[	X
ejpam-5461	731	2	18	18	NUM
ejpam-5461	731	3	]	]	X
ejpam-5461	731	4	s.	s.	PROPN
ejpam-5461	731	5	filipovski	filipovski	PROPN
ejpam-5461	731	6	.	.	PUNCT
ejpam-5461	732	1	relations	relation	NOUN
ejpam-5461	732	2	between	between	ADP
ejpam-5461	732	3	sombor	sombor	NOUN
ejpam-5461	732	4	index	index	NOUN
ejpam-5461	732	5	and	and	CCONJ
ejpam-5461	732	6	some	some	DET
ejpam-5461	732	7	degree	degree	NOUN
ejpam-5461	732	8	-	-	PUNCT
ejpam-5461	732	9	based	base	VERB
ejpam-5461	732	10	topological	topological	ADJ
ejpam-5461	732	11	indices	index	NOUN
ejpam-5461	732	12	.	.	PUNCT
ejpam-5461	733	1	iranian	iranian	ADJ
ejpam-5461	733	2	journal	journal	PROPN
ejpam-5461	733	3	of	of	ADP
ejpam-5461	733	4	mathematical	mathematical	ADJ
ejpam-5461	733	5	chemistry	chemistry	NOUN
ejpam-5461	733	6	,	,	PUNCT
ejpam-5461	733	7	12(1):19–26	12(1):19–26	NUM
ejpam-5461	733	8	,	,	PUNCT
ejpam-5461	733	9	2021	2021	NUM
ejpam-5461	733	10	.	.	PUNCT
ejpam-5461	734	1	[	[	X
ejpam-5461	734	2	19	19	NUM
ejpam-5461	734	3	]	]	X
ejpam-5461	734	4	y.	y.	PROPN
ejpam-5461	734	5	g.	g.	PROPN
ejpam-5461	734	6	shang	shang	PROPN
ejpam-5461	734	7	,	,	PUNCT
ejpam-5461	734	8	x.	x.	PROPN
ejpam-5461	734	9	h.	h.	PROPN
ejpam-5461	734	10	yuan	yuan	PROPN
ejpam-5461	734	11	,	,	PUNCT
ejpam-5461	734	12	and	and	CCONJ
ejpam-5461	734	13	e.s	e.s	PROPN
ejpam-5461	734	14	.	.	PROPN
ejpam-5461	734	15	lee	lee	PROPN
ejpam-5461	734	16	.	.	PUNCT
ejpam-5461	735	1	the	the	DET
ejpam-5461	735	2	n	n	ADV
ejpam-5461	735	3	-	-	PUNCT
ejpam-5461	735	4	dimensional	dimensional	ADJ
ejpam-5461	735	5	fuzzy	fuzzy	ADJ
ejpam-5461	735	6	sets	set	NOUN
ejpam-5461	735	7	and	and	CCONJ
ejpam-5461	735	8	zadeh	zadeh	PROPN
ejpam-5461	735	9	fuzzy	fuzzy	ADJ
ejpam-5461	735	10	sets	set	NOUN
ejpam-5461	735	11	based	base	VERB
ejpam-5461	735	12	on	on	ADP
ejpam-5461	735	13	the	the	DET
ejpam-5461	735	14	finite	finite	NOUN
ejpam-5461	735	15	valued	value	VERB
ejpam-5461	735	16	fuzzy	fuzzy	ADJ
ejpam-5461	735	17	sets	set	NOUN
ejpam-5461	735	18	.	.	PUNCT
ejpam-5461	736	1	computers	computer	NOUN
ejpam-5461	736	2	mathematics	mathematic	NOUN
ejpam-5461	736	3	with	with	ADP
ejpam-5461	736	4	applications	application	NOUN
ejpam-5461	736	5	,	,	PUNCT
ejpam-5461	736	6	60(3):442	60(3):442	NUM
ejpam-5461	736	7	–	–	PUNCT
ejpam-5461	736	8	463	463	NUM
ejpam-5461	736	9	,	,	PUNCT
ejpam-5461	736	10	2010	2010	NUM
ejpam-5461	736	11	.	.	PUNCT
ejpam-5461	737	1	[	[	X
ejpam-5461	737	2	20	20	NUM
ejpam-5461	737	3	]	]	X
ejpam-5461	737	4	a.n	a.n	PROPN
ejpam-5461	737	5	.	.	PROPN
ejpam-5461	737	6	gani	gani	PROPN
ejpam-5461	737	7	and	and	CCONJ
ejpam-5461	737	8	s.s	s.s	PROPN
ejpam-5461	737	9	.	.	PROPN
ejpam-5461	737	10	begum	begum	PROPN
ejpam-5461	737	11	.	.	PUNCT
ejpam-5461	737	12	degree	degree	NOUN
ejpam-5461	737	13	,	,	PUNCT
ejpam-5461	737	14	order	order	NOUN
ejpam-5461	737	15	and	and	CCONJ
ejpam-5461	737	16	size	size	NOUN
ejpam-5461	737	17	in	in	ADP
ejpam-5461	737	18	intuitionistic	intuitionistic	ADJ
ejpam-5461	737	19	fuzzy	fuzzy	ADJ
ejpam-5461	737	20	graphs	graph	NOUN
ejpam-5461	737	21	.	.	PUNCT
ejpam-5461	738	1	international	international	ADJ
ejpam-5461	738	2	journal	journal	NOUN
ejpam-5461	738	3	of	of	ADP
ejpam-5461	738	4	algorithms	algorithms	PROPN
ejpam-5461	738	5	,	,	PUNCT
ejpam-5461	738	6	computing	computing	NOUN
ejpam-5461	738	7	and	and	CCONJ
ejpam-5461	738	8	mathematics	mathematic	NOUN
ejpam-5461	738	9	,	,	PUNCT
ejpam-5461	738	10	3(3):11–16	3(3):11–16	NUM
ejpam-5461	738	11	,	,	PUNCT
ejpam-5461	738	12	2010	2010	NUM
ejpam-5461	738	13	.	.	PUNCT
ejpam-5461	739	1	[	[	X
ejpam-5461	739	2	21	21	NUM
ejpam-5461	739	3	]	]	X
ejpam-5461	739	4	a.n	a.n	PROPN
ejpam-5461	739	5	.	.	PROPN
ejpam-5461	739	6	gani	gani	PROPN
ejpam-5461	739	7	,	,	PUNCT
ejpam-5461	739	8	r.j	r.j	PROPN
ejpam-5461	739	9	.	.	PROPN
ejpam-5461	739	10	hussain	hussain	PROPN
ejpam-5461	739	11	,	,	PUNCT
ejpam-5461	739	12	and	and	CCONJ
ejpam-5461	739	13	s.y	s.y	PROPN
ejpam-5461	739	14	.	.	PROPN
ejpam-5461	739	15	mohamed	mohamed	PROPN
ejpam-5461	739	16	.	.	PUNCT
ejpam-5461	740	1	irregular	irregular	ADJ
ejpam-5461	740	2	intuitionistic	intuitionistic	ADJ
ejpam-5461	740	3	fuzzy	fuzzy	ADJ
ejpam-5461	740	4	graph	graph	NOUN
ejpam-5461	740	5	.	.	PUNCT
ejpam-5461	741	1	iosr	iosr	ADJ
ejpam-5461	741	2	journal	journal	PROPN
ejpam-5461	741	3	of	of	ADP
ejpam-5461	741	4	mathematics	mathematics	PROPN
ejpam-5461	741	5	(	(	PUNCT
ejpam-5461	741	6	iosr	iosr	PROPN
ejpam-5461	741	7	-	-	PUNCT
ejpam-5461	741	8	jm	jm	NOUN
ejpam-5461	741	9	)	)	PUNCT
ejpam-5461	741	10	,	,	PUNCT
ejpam-5461	741	11	9:47–51	9:47–51	NUM
ejpam-5461	741	12	,	,	PUNCT
ejpam-5461	741	13	2014	2014	NUM
ejpam-5461	741	14	.	.	PUNCT
ejpam-5461	742	1	[	[	X
ejpam-5461	742	2	22	22	NUM
ejpam-5461	742	3	]	]	X
ejpam-5461	742	4	masoud	masoud	PROPN
ejpam-5461	742	5	ghods	ghods	PROPN
ejpam-5461	742	6	and	and	CCONJ
ejpam-5461	742	7	zahra	zahra	PROPN
ejpam-5461	742	8	rostami	rostami	PROPN
ejpam-5461	742	9	.	.	PUNCT
ejpam-5461	743	1	wiener	wiener	NOUN
ejpam-5461	743	2	index	index	NOUN
ejpam-5461	743	3	and	and	CCONJ
ejpam-5461	743	4	applications	application	NOUN
ejpam-5461	743	5	in	in	ADP
ejpam-5461	743	6	the	the	DET
ejpam-5461	743	7	neutrosophic	neutrosophic	ADJ
ejpam-5461	743	8	graphs	graph	NOUN
ejpam-5461	743	9	.	.	PUNCT
ejpam-5461	744	1	neutrosophic	neutrosophic	ADJ
ejpam-5461	744	2	sets	set	NOUN
ejpam-5461	744	3	and	and	CCONJ
ejpam-5461	744	4	systems	system	NOUN
ejpam-5461	744	5	,	,	PUNCT
ejpam-5461	744	6	46:229–245	46:229–245	PROPN
ejpam-5461	744	7	,	,	PUNCT
ejpam-5461	744	8	2021	2021	NUM
ejpam-5461	744	9	.	.	PUNCT
ejpam-5461	745	1	[	[	X
ejpam-5461	745	2	23	23	NUM
ejpam-5461	745	3	]	]	PUNCT
ejpam-5461	745	4	s.	s.	PROPN
ejpam-5461	745	5	gong	gong	PROPN
ejpam-5461	745	6	and	and	CCONJ
ejpam-5461	745	7	g.	g.	PROPN
ejpam-5461	745	8	hua	hua	PROPN
ejpam-5461	745	9	.	.	PUNCT
ejpam-5461	746	1	topological	topological	ADJ
ejpam-5461	746	2	indices	index	NOUN
ejpam-5461	746	3	of	of	ADP
ejpam-5461	746	4	bipolar	bipolar	ADJ
ejpam-5461	746	5	fuzzy	fuzzy	ADJ
ejpam-5461	746	6	incidence	incidence	NOUN
ejpam-5461	746	7	graph	graph	NOUN
ejpam-5461	746	8	.	.	PUNCT
ejpam-5461	747	1	open	open	ADJ
ejpam-5461	747	2	chemistry	chemistry	NOUN
ejpam-5461	747	3	,	,	PUNCT
ejpam-5461	747	4	19(1):894–903	19(1):894–903	NUM
ejpam-5461	747	5	,	,	PUNCT
ejpam-5461	747	6	2021	2021	NUM
ejpam-5461	747	7	.	.	PUNCT
ejpam-5461	748	1	[	[	X
ejpam-5461	748	2	24	24	NUM
ejpam-5461	748	3	]	]	PUNCT
ejpam-5461	748	4	i.	i.	PROPN
ejpam-5461	748	5	gutman	gutman	PROPN
ejpam-5461	748	6	.	.	PUNCT
ejpam-5461	749	1	on	on	ADP
ejpam-5461	749	2	the	the	DET
ejpam-5461	749	3	origin	origin	NOUN
ejpam-5461	749	4	of	of	ADP
ejpam-5461	749	5	two	two	NUM
ejpam-5461	749	6	degree	degree	NOUN
ejpam-5461	749	7	-	-	PUNCT
ejpam-5461	749	8	based	base	VERB
ejpam-5461	749	9	topological	topological	ADJ
ejpam-5461	749	10	indices	index	NOUN
ejpam-5461	749	11	.	.	PUNCT
ejpam-5461	750	1	bulletin	bulletin	NOUN
ejpam-5461	750	2	of	of	ADP
ejpam-5461	750	3	the	the	DET
ejpam-5461	750	4	serbian	serbian	ADJ
ejpam-5461	750	5	academy	academy	PROPN
ejpam-5461	750	6	of	of	ADP
ejpam-5461	750	7	sciences	sciences	PROPN
ejpam-5461	750	8	and	and	CCONJ
ejpam-5461	750	9	arts	art	NOUN
ejpam-5461	750	10	,	,	PUNCT
ejpam-5461	750	11	39:39–52	39:39–52	NUM
ejpam-5461	750	12	,	,	PUNCT
ejpam-5461	750	13	2014	2014	NUM
ejpam-5461	750	14	.	.	PUNCT
ejpam-5461	751	1	[	[	X
ejpam-5461	751	2	25	25	NUM
ejpam-5461	751	3	]	]	PUNCT
ejpam-5461	751	4	i.	i.	PROPN
ejpam-5461	751	5	gutman	gutman	PROPN
ejpam-5461	751	6	.	.	PUNCT
ejpam-5461	752	1	geometric	geometric	ADJ
ejpam-5461	752	2	approach	approach	NOUN
ejpam-5461	752	3	to	to	ADP
ejpam-5461	752	4	degree	degree	NOUN
ejpam-5461	752	5	-	-	PUNCT
ejpam-5461	752	6	based	base	VERB
ejpam-5461	752	7	topological	topological	ADJ
ejpam-5461	752	8	indices	index	NOUN
ejpam-5461	752	9	:	:	PUNCT
ejpam-5461	752	10	sombor	sombor	NOUN
ejpam-5461	752	11	indices	index	NOUN
ejpam-5461	752	12	.	.	PUNCT
ejpam-5461	753	1	match	match	VERB
ejpam-5461	753	2	communications	communication	NOUN
ejpam-5461	753	3	in	in	ADP
ejpam-5461	753	4	mathematical	mathematical	ADJ
ejpam-5461	753	5	and	and	CCONJ
ejpam-5461	753	6	computer	computer	NOUN
ejpam-5461	753	7	chemistry	chemistry	NOUN
ejpam-5461	753	8	,	,	PUNCT
ejpam-5461	753	9	86(1):11–16	86(1):11–16	NUM
ejpam-5461	753	10	,	,	PUNCT
ejpam-5461	753	11	2021	2021	NUM
ejpam-5461	753	12	.	.	PUNCT
ejpam-5461	754	1	references	reference	NOUN
ejpam-5461	754	2	2618	2618	NUM
ejpam-5461	755	1	[	[	X
ejpam-5461	755	2	26	26	NUM
ejpam-5461	755	3	]	]	X
ejpam-5461	755	4	i.	i.	PROPN
ejpam-5461	755	5	gutman	gutman	PROPN
ejpam-5461	755	6	.	.	PUNCT
ejpam-5461	756	1	sombor	sombor	PROPN
ejpam-5461	756	2	indices	index	NOUN
ejpam-5461	756	3	-	-	PUNCT
ejpam-5461	756	4	back	back	NOUN
ejpam-5461	756	5	to	to	ADP
ejpam-5461	756	6	geometry	geometry	NOUN
ejpam-5461	756	7	.	.	PUNCT
ejpam-5461	757	1	open	open	ADJ
ejpam-5461	757	2	journal	journal	PROPN
ejpam-5461	757	3	of	of	ADP
ejpam-5461	757	4	discrete	discrete	ADJ
ejpam-5461	757	5	applied	apply	VERB
ejpam-5461	757	6	mathematics	mathematic	NOUN
ejpam-5461	757	7	,	,	PUNCT
ejpam-5461	757	8	5(2):1–5	5(2):1–5	NUM
ejpam-5461	757	9	,	,	PUNCT
ejpam-5461	757	10	2022	2022	NUM
ejpam-5461	757	11	.	.	PUNCT
ejpam-5461	758	1	[	[	X
ejpam-5461	758	2	27	27	NUM
ejpam-5461	758	3	]	]	PUNCT
ejpam-5461	758	4	s.	s.	PROPN
ejpam-5461	758	5	hayat	hayat	PROPN
ejpam-5461	758	6	and	and	CCONJ
ejpam-5461	758	7	m.	m.	PROPN
ejpam-5461	758	8	imran	imran	PROPN
ejpam-5461	758	9	.	.	PUNCT
ejpam-5461	759	1	computation	computation	NOUN
ejpam-5461	759	2	of	of	ADP
ejpam-5461	759	3	topological	topological	ADJ
ejpam-5461	759	4	indices	index	NOUN
ejpam-5461	759	5	of	of	ADP
ejpam-5461	759	6	certain	certain	ADJ
ejpam-5461	759	7	networks	network	NOUN
ejpam-5461	759	8	.	.	PUNCT
ejpam-5461	760	1	applied	apply	VERB
ejpam-5461	760	2	mathematics	mathematic	NOUN
ejpam-5461	760	3	and	and	CCONJ
ejpam-5461	760	4	computation	computation	NOUN
ejpam-5461	760	5	,	,	PUNCT
ejpam-5461	760	6	240:213–228	240:213–228	NUM
ejpam-5461	760	7	,	,	PUNCT
ejpam-5461	760	8	2014	2014	NUM
ejpam-5461	760	9	.	.	PUNCT
ejpam-5461	761	1	[	[	X
ejpam-5461	761	2	28	28	NUM
ejpam-5461	761	3	]	]	X
ejpam-5461	761	4	s.r	s.r	PROPN
ejpam-5461	761	5	.	.	PROPN
ejpam-5461	761	6	islam	islam	PROPN
ejpam-5461	761	7	and	and	CCONJ
ejpam-5461	761	8	m.	m.	PROPN
ejpam-5461	761	9	pal	pal	PROPN
ejpam-5461	761	10	.	.	PUNCT
ejpam-5461	762	1	first	first	PROPN
ejpam-5461	762	2	zagreb	zagreb	PROPN
ejpam-5461	762	3	index	index	NOUN
ejpam-5461	762	4	on	on	ADP
ejpam-5461	762	5	a	a	DET
ejpam-5461	762	6	fuzzy	fuzzy	ADJ
ejpam-5461	762	7	graph	graph	NOUN
ejpam-5461	762	8	and	and	CCONJ
ejpam-5461	762	9	its	its	PRON
ejpam-5461	762	10	application	application	NOUN
ejpam-5461	762	11	.	.	PUNCT
ejpam-5461	763	1	journal	journal	NOUN
ejpam-5461	763	2	of	of	ADP
ejpam-5461	763	3	intelligent	intelligent	ADJ
ejpam-5461	763	4	fuzzy	fuzzy	ADJ
ejpam-5461	763	5	systems	system	NOUN
ejpam-5461	763	6	,	,	PUNCT
ejpam-5461	763	7	40:10575–10587	40:10575–10587	NUM
ejpam-5461	763	8	,	,	PUNCT
ejpam-5461	763	9	2020	2020	NUM
ejpam-5461	763	10	.	.	PUNCT
ejpam-5461	764	1	[	[	X
ejpam-5461	764	2	29	29	NUM
ejpam-5461	764	3	]	]	X
ejpam-5461	764	4	s.r	s.r	PROPN
ejpam-5461	764	5	.	.	PROPN
ejpam-5461	764	6	islam	islam	PROPN
ejpam-5461	764	7	and	and	CCONJ
ejpam-5461	764	8	m.	m.	PROPN
ejpam-5461	764	9	pal	pal	PROPN
ejpam-5461	764	10	.	.	PUNCT
ejpam-5461	765	1	hyper	hyper	ADJ
ejpam-5461	765	2	-	-	ADJ
ejpam-5461	765	3	wiener	wiener	NOUN
ejpam-5461	765	4	index	index	NOUN
ejpam-5461	765	5	for	for	ADP
ejpam-5461	765	6	fuzzy	fuzzy	ADJ
ejpam-5461	765	7	graph	graph	NOUN
ejpam-5461	765	8	and	and	CCONJ
ejpam-5461	765	9	its	its	PRON
ejpam-5461	765	10	application	application	NOUN
ejpam-5461	765	11	in	in	ADP
ejpam-5461	765	12	share	share	NOUN
ejpam-5461	765	13	market	market	NOUN
ejpam-5461	765	14	.	.	PUNCT
ejpam-5461	766	1	journal	journal	NOUN
ejpam-5461	766	2	of	of	ADP
ejpam-5461	766	3	intelligent	intelligent	ADJ
ejpam-5461	766	4	fuzzy	fuzzy	ADJ
ejpam-5461	766	5	systems	system	NOUN
ejpam-5461	766	6	,	,	PUNCT
ejpam-5461	766	7	41(1):2073–2083	41(1):2073–2083	NOUN
ejpam-5461	766	8	,	,	PUNCT
ejpam-5461	766	9	2021	2021	NUM
ejpam-5461	766	10	.	.	PUNCT
ejpam-5461	767	1	[	[	X
ejpam-5461	767	2	30	30	NUM
ejpam-5461	767	3	]	]	X
ejpam-5461	767	4	m.k	m.k	PROPN
ejpam-5461	767	5	.	.	PROPN
ejpam-5461	767	6	jamil	jamil	PROPN
ejpam-5461	767	7	,	,	PUNCT
ejpam-5461	767	8	s.	s.	PROPN
ejpam-5461	767	9	anwar	anwar	PROPN
ejpam-5461	767	10	,	,	PUNCT
ejpam-5461	767	11	m.	m.	NOUN
ejpam-5461	767	12	azeem	azeem	PROPN
ejpam-5461	767	13	,	,	PUNCT
ejpam-5461	767	14	and	and	CCONJ
ejpam-5461	767	15	i.	i.	PROPN
ejpam-5461	767	16	gutman	gutman	PROPN
ejpam-5461	767	17	.	.	PUNCT
ejpam-5461	768	1	intuitionistic	intuitionistic	ADJ
ejpam-5461	768	2	fuzzy	fuzzy	ADJ
ejpam-5461	768	3	sombor	sombor	NOUN
ejpam-5461	768	4	indices	index	NOUN
ejpam-5461	768	5	:	:	PUNCT
ejpam-5461	768	6	a	a	DET
ejpam-5461	768	7	novel	novel	ADJ
ejpam-5461	768	8	approach	approach	NOUN
ejpam-5461	768	9	for	for	ADP
ejpam-5461	768	10	improving	improve	VERB
ejpam-5461	768	11	the	the	DET
ejpam-5461	768	12	performance	performance	NOUN
ejpam-5461	768	13	of	of	ADP
ejpam-5461	768	14	vaccination	vaccination	NOUN
ejpam-5461	768	15	centers	center	NOUN
ejpam-5461	768	16	.	.	PUNCT
ejpam-5461	769	1	communications	communication	NOUN
ejpam-5461	769	2	in	in	ADP
ejpam-5461	769	3	combinatorics	combinatoric	NOUN
ejpam-5461	769	4	and	and	CCONJ
ejpam-5461	769	5	optimization	optimization	NOUN
ejpam-5461	769	6	,	,	PUNCT
ejpam-5461	769	7	pages	page	NOUN
ejpam-5461	769	8	1–31	1–31	PROPN
ejpam-5461	769	9	,	,	PUNCT
ejpam-5461	769	10	2024	2024	NUM
ejpam-5461	769	11	.	.	PUNCT
ejpam-5461	770	1	[	[	X
ejpam-5461	770	2	31	31	NUM
ejpam-5461	770	3	]	]	X
ejpam-5461	770	4	u.	u.	PROPN
ejpam-5461	770	5	jana	jana	PROPN
ejpam-5461	770	6	and	and	CCONJ
ejpam-5461	770	7	g.	g.	PROPN
ejpam-5461	770	8	ghorai	ghorai	PROPN
ejpam-5461	770	9	.	.	PUNCT
ejpam-5461	771	1	first	first	ADJ
ejpam-5461	771	2	entire	entire	ADJ
ejpam-5461	771	3	zagreb	zagreb	PROPN
ejpam-5461	771	4	index	index	NOUN
ejpam-5461	771	5	of	of	ADP
ejpam-5461	771	6	fuzzy	fuzzy	ADJ
ejpam-5461	771	7	graph	graph	NOUN
ejpam-5461	771	8	and	and	CCONJ
ejpam-5461	771	9	its	its	PRON
ejpam-5461	771	10	application	application	NOUN
ejpam-5461	771	11	.	.	PUNCT
ejpam-5461	772	1	axioms	axiom	NOUN
ejpam-5461	772	2	,	,	PUNCT
ejpam-5461	772	3	12:415	12:415	NUM
ejpam-5461	772	4	,	,	PUNCT
ejpam-5461	772	5	2023	2023	NUM
ejpam-5461	772	6	.	.	PUNCT
ejpam-5461	773	1	[	[	X
ejpam-5461	773	2	32	32	NUM
ejpam-5461	773	3	]	]	X
ejpam-5461	773	4	l.s	l.s	PROPN
ejpam-5461	773	5	.	.	PROPN
ejpam-5461	773	6	jin	jin	PROPN
ejpam-5461	773	7	,	,	PUNCT
ejpam-5461	773	8	r.r	r.r	PROPN
ejpam-5461	773	9	.	.	PROPN
ejpam-5461	773	10	yager	yager	PROPN
ejpam-5461	773	11	,	,	PUNCT
ejpam-5461	773	12	c.	c.	PROPN
ejpam-5461	773	13	ma	ma	PROPN
ejpam-5461	773	14	,	,	PUNCT
ejpam-5461	773	15	l.m	l.m	PROPN
ejpam-5461	773	16	.	.	PROPN
ejpam-5461	773	17	lopez	lopez	PROPN
ejpam-5461	773	18	,	,	PUNCT
ejpam-5461	773	19	r.m	r.m	PROPN
ejpam-5461	773	20	.	.	PROPN
ejpam-5461	773	21	rodriguez	rodriguez	PROPN
ejpam-5461	773	22	,	,	PUNCT
ejpam-5461	773	23	t.	t.	NOUN
ejpam-5461	773	24	senapati	senapati	PROPN
ejpam-5461	773	25	,	,	PUNCT
ejpam-5461	773	26	and	and	CCONJ
ejpam-5461	773	27	r.	r.	PROPN
ejpam-5461	773	28	mesiar	mesiar	PROPN
ejpam-5461	773	29	.	.	PUNCT
ejpam-5461	774	1	intuitionistic	intuitionistic	ADJ
ejpam-5461	774	2	fuzzy	fuzzy	ADJ
ejpam-5461	774	3	type	type	NOUN
ejpam-5461	774	4	basic	basic	ADJ
ejpam-5461	774	5	uncertain	uncertain	ADJ
ejpam-5461	774	6	information	information	NOUN
ejpam-5461	774	7	.	.	PUNCT
ejpam-5461	775	1	iranian	iranian	ADJ
ejpam-5461	775	2	journal	journal	PROPN
ejpam-5461	775	3	of	of	ADP
ejpam-5461	775	4	fuzzy	fuzzy	ADJ
ejpam-5461	775	5	systems	system	NOUN
ejpam-5461	775	6	,	,	PUNCT
ejpam-5461	775	7	20(5):189–197	20(5):189–197	NUM
ejpam-5461	775	8	,	,	PUNCT
ejpam-5461	775	9	2023	2023	NUM
ejpam-5461	775	10	.	.	PUNCT
ejpam-5461	776	1	[	[	X
ejpam-5461	776	2	33	33	NUM
ejpam-5461	776	3	]	]	PUNCT
ejpam-5461	776	4	s.	s.	PROPN
ejpam-5461	776	5	kalathian	kalathian	PROPN
ejpam-5461	776	6	,	,	PUNCT
ejpam-5461	776	7	s.	s.	PROPN
ejpam-5461	776	8	ramalingam	ramalingam	PROPN
ejpam-5461	776	9	,	,	PUNCT
ejpam-5461	776	10	s.	s.	PROPN
ejpam-5461	776	11	raman	raman	PROPN
ejpam-5461	776	12	,	,	PUNCT
ejpam-5461	776	13	and	and	CCONJ
ejpam-5461	776	14	n.	n.	PROPN
ejpam-5461	776	15	srinivasan	srinivasan	NOUN
ejpam-5461	776	16	.	.	PUNCT
ejpam-5461	777	1	some	some	DET
ejpam-5461	777	2	topological	topological	ADJ
ejpam-5461	777	3	indices	index	NOUN
ejpam-5461	777	4	in	in	ADP
ejpam-5461	777	5	fuzzy	fuzzy	ADJ
ejpam-5461	777	6	graphs	graph	NOUN
ejpam-5461	777	7	.	.	PUNCT
ejpam-5461	778	1	journal	journal	NOUN
ejpam-5461	778	2	of	of	ADP
ejpam-5461	778	3	intelligent	intelligent	ADJ
ejpam-5461	778	4	fuzzy	fuzzy	ADJ
ejpam-5461	778	5	systems	system	NOUN
ejpam-5461	778	6	,	,	PUNCT
ejpam-5461	778	7	39(5):6033–6046	39(5):6033–6046	NUM
ejpam-5461	778	8	,	,	PUNCT
ejpam-5461	778	9	2020	2020	NUM
ejpam-5461	778	10	.	.	PUNCT
ejpam-5461	779	1	[	[	X
ejpam-5461	779	2	34	34	NUM
ejpam-5461	779	3	]	]	X
ejpam-5461	779	4	m.g	m.g	PROPN
ejpam-5461	779	5	.	.	PROPN
ejpam-5461	779	6	karunambigai	karunambigai	PROPN
ejpam-5461	779	7	,	,	PUNCT
ejpam-5461	779	8	m.	m.	NOUN
ejpam-5461	779	9	akram	akram	PROPN
ejpam-5461	779	10	,	,	PUNCT
ejpam-5461	779	11	s.	s.	PROPN
ejpam-5461	779	12	sivasankar	sivasankar	PROPN
ejpam-5461	779	13	,	,	PUNCT
ejpam-5461	779	14	and	and	CCONJ
ejpam-5461	779	15	k.	k.	PROPN
ejpam-5461	779	16	palanivel	palanivel	PROPN
ejpam-5461	779	17	.	.	PUNCT
ejpam-5461	780	1	clustering	cluster	VERB
ejpam-5461	780	2	algorithm	algorithm	NOUN
ejpam-5461	780	3	for	for	ADP
ejpam-5461	780	4	intuitionistic	intuitionistic	ADJ
ejpam-5461	780	5	fuzzy	fuzzy	ADJ
ejpam-5461	780	6	graphs	graph	NOUN
ejpam-5461	780	7	.	.	PUNCT
ejpam-5461	781	1	international	international	ADJ
ejpam-5461	781	2	journal	journal	NOUN
ejpam-5461	781	3	of	of	ADP
ejpam-5461	781	4	uncertainty	uncertainty	NOUN
ejpam-5461	781	5	,	,	PUNCT
ejpam-5461	781	6	fuzziness	fuzziness	NOUN
ejpam-5461	781	7	and	and	CCONJ
ejpam-5461	781	8	knowledgebased	knowledgebased	ADJ
ejpam-5461	781	9	systems	system	NOUN
ejpam-5461	781	10	,	,	PUNCT
ejpam-5461	781	11	25(03):367–383	25(03):367–383	NUM
ejpam-5461	781	12	,	,	PUNCT
ejpam-5461	781	13	2017	2017	NUM
ejpam-5461	781	14	.	.	PUNCT
ejpam-5461	782	1	[	[	X
ejpam-5461	782	2	35	35	NUM
ejpam-5461	782	3	]	]	X
ejpam-5461	782	4	m.	m.	NOUN
ejpam-5461	782	5	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	782	6	,	,	PUNCT
ejpam-5461	782	7	m.	m.	NOUN
ejpam-5461	782	8	aslam	aslam	PROPN
ejpam-5461	782	9	,	,	PUNCT
ejpam-5461	782	10	f.	f.	PROPN
ejpam-5461	782	11	afzal	afzal	PROPN
ejpam-5461	782	12	,	,	PUNCT
ejpam-5461	782	13	and	and	CCONJ
ejpam-5461	782	14	et	et	PROPN
ejpam-5461	782	15	al	al	PROPN
ejpam-5461	782	16	.	.	PUNCT
ejpam-5461	783	1	the	the	DET
ejpam-5461	783	2	connectivity	connectivity	NOUN
ejpam-5461	783	3	indices	indice	VERB
ejpam-5461	783	4	concept	concept	NOUN
ejpam-5461	783	5	of	of	ADP
ejpam-5461	783	6	neutrosophic	neutrosophic	ADJ
ejpam-5461	783	7	graph	graph	NOUN
ejpam-5461	783	8	and	and	CCONJ
ejpam-5461	783	9	their	their	PRON
ejpam-5461	783	10	application	application	NOUN
ejpam-5461	783	11	of	of	ADP
ejpam-5461	783	12	computer	computer	NOUN
ejpam-5461	783	13	network	network	NOUN
ejpam-5461	783	14	,	,	PUNCT
ejpam-5461	783	15	highway	highway	NOUN
ejpam-5461	783	16	system	system	NOUN
ejpam-5461	783	17	and	and	CCONJ
ejpam-5461	783	18	transport	transport	NOUN
ejpam-5461	783	19	network	network	NOUN
ejpam-5461	783	20	flow	flow	NOUN
ejpam-5461	783	21	.	.	PUNCT
ejpam-5461	784	1	scientific	scientific	ADJ
ejpam-5461	784	2	reports	report	NOUN
ejpam-5461	784	3	,	,	PUNCT
ejpam-5461	784	4	14:4891	14:4891	NUM
ejpam-5461	784	5	,	,	PUNCT
ejpam-5461	784	6	2024	2024	NUM
ejpam-5461	784	7	.	.	PUNCT
ejpam-5461	785	1	[	[	X
ejpam-5461	785	2	36	36	NUM
ejpam-5461	785	3	]	]	SYM
ejpam-5461	785	4	m.s.a	m.s.a	X
ejpam-5461	785	5	.	.	PUNCT
ejpam-5461	785	6	khan	khan	PROPN
ejpam-5461	785	7	,	,	PUNCT
ejpam-5461	785	8	s.u	s.u	PROPN
ejpam-5461	785	9	.	.	PROPN
ejpam-5461	785	10	jan	jan	PROPN
ejpam-5461	785	11	,	,	PUNCT
ejpam-5461	785	12	r.	r.	PROPN
ejpam-5461	785	13	jan	jan	PROPN
ejpam-5461	785	14	,	,	PUNCT
ejpam-5461	785	15	t.	t.	NOUN
ejpam-5461	785	16	senapati	senapati	PROPN
ejpam-5461	785	17	,	,	PUNCT
ejpam-5461	785	18	and	and	CCONJ
ejpam-5461	785	19	s.	s.	PROPN
ejpam-5461	785	20	moslem	moslem	PROPN
ejpam-5461	785	21	.	.	PUNCT
ejpam-5461	786	1	complex	complex	ADJ
ejpam-5461	786	2	interval	interval	NOUN
ejpam-5461	786	3	-	-	PUNCT
ejpam-5461	786	4	valued	value	VERB
ejpam-5461	786	5	intuitionistic	intuitionistic	ADJ
ejpam-5461	786	6	fuzzy	fuzzy	ADJ
ejpam-5461	786	7	decision	decision	NOUN
ejpam-5461	786	8	support	support	NOUN
ejpam-5461	786	9	system	system	NOUN
ejpam-5461	786	10	with	with	ADP
ejpam-5461	786	11	application	application	NOUN
ejpam-5461	786	12	to	to	ADP
ejpam-5461	786	13	covid-19	covid-19	PROPN
ejpam-5461	786	14	healthcare	healthcare	NOUN
ejpam-5461	786	15	facilities	facility	NOUN
ejpam-5461	786	16	.	.	PUNCT
ejpam-5461	787	1	complex	complex	ADJ
ejpam-5461	787	2	intelligent	intelligent	ADJ
ejpam-5461	787	3	systems	system	NOUN
ejpam-5461	787	4	,	,	PUNCT
ejpam-5461	787	5	9:7103–7132	9:7103–7132	NUM
ejpam-5461	787	6	,	,	PUNCT
ejpam-5461	787	7	2023	2023	NUM
ejpam-5461	787	8	.	.	PUNCT
ejpam-5461	788	1	[	[	X
ejpam-5461	788	2	37	37	NUM
ejpam-5461	788	3	]	]	PUNCT
ejpam-5461	788	4	p.	p.	NOUN
ejpam-5461	788	5	majumder	majumder	NOUN
ejpam-5461	788	6	,	,	PUNCT
ejpam-5461	788	7	p.	p.	PROPN
ejpam-5461	788	8	bhowmik	bhowmik	ADJ
ejpam-5461	788	9	,	,	PUNCT
ejpam-5461	788	10	a.	a.	NOUN
ejpam-5461	788	11	das	das	PROPN
ejpam-5461	788	12	,	,	PUNCT
ejpam-5461	788	13	t.	t.	NOUN
ejpam-5461	788	14	senapati	senapati	PROPN
ejpam-5461	788	15	,	,	PUNCT
ejpam-5461	788	16	v.	v.	PROPN
ejpam-5461	788	17	simic	simic	PROPN
ejpam-5461	788	18	,	,	PUNCT
ejpam-5461	788	19	and	and	CCONJ
ejpam-5461	788	20	d.	d.	PROPN
ejpam-5461	788	21	pamucar	pamucar	PROPN
ejpam-5461	788	22	.	.	PUNCT
ejpam-5461	789	1	an	an	DET
ejpam-5461	789	2	intuitionistic	intuitionistic	ADJ
ejpam-5461	789	3	fuzzy	fuzzy	ADJ
ejpam-5461	789	4	based	base	VERB
ejpam-5461	789	5	hybrid	hybrid	ADJ
ejpam-5461	789	6	decision	decision	NOUN
ejpam-5461	789	7	-	-	PUNCT
ejpam-5461	789	8	making	make	VERB
ejpam-5461	789	9	approach	approach	NOUN
ejpam-5461	789	10	to	to	PART
ejpam-5461	789	11	determine	determine	VERB
ejpam-5461	789	12	the	the	DET
ejpam-5461	789	13	priority	priority	NOUN
ejpam-5461	789	14	value	value	NOUN
ejpam-5461	789	15	of	of	ADP
ejpam-5461	789	16	indicators	indicator	NOUN
ejpam-5461	789	17	and	and	CCONJ
ejpam-5461	789	18	its	its	PRON
ejpam-5461	789	19	application	application	NOUN
ejpam-5461	789	20	to	to	ADP
ejpam-5461	789	21	solar	solar	ADJ
ejpam-5461	789	22	energy	energy	NOUN
ejpam-5461	789	23	feasibility	feasibility	NOUN
ejpam-5461	789	24	analysis	analysis	NOUN
ejpam-5461	789	25	.	.	PUNCT
ejpam-5461	790	1	optik	optik	PROPN
ejpam-5461	790	2	international	international	PROPN
ejpam-5461	790	3	journal	journal	PROPN
ejpam-5461	790	4	for	for	ADP
ejpam-5461	790	5	light	light	NOUN
ejpam-5461	790	6	and	and	CCONJ
ejpam-5461	790	7	electron	electron	NOUN
ejpam-5461	790	8	optics	optic	NOUN
ejpam-5461	790	9	,	,	PUNCT
ejpam-5461	790	10	295:171492	295:171492	NUM
ejpam-5461	790	11	,	,	PUNCT
ejpam-5461	790	12	2023	2023	NUM
ejpam-5461	790	13	.	.	PUNCT
ejpam-5461	791	1	[	[	X
ejpam-5461	791	2	38	38	NUM
ejpam-5461	791	3	]	]	X
ejpam-5461	791	4	z.s	z.s	PROPN
ejpam-5461	791	5	.	.	PROPN
ejpam-5461	791	6	mufti	mufti	PROPN
ejpam-5461	791	7	,	,	PUNCT
ejpam-5461	791	8	a.	a.	NOUN
ejpam-5461	791	9	tabraiz	tabraiz	NOUN
ejpam-5461	791	10	,	,	PUNCT
ejpam-5461	791	11	q.	q.	PROPN
ejpam-5461	791	12	xin	xin	PROPN
ejpam-5461	791	13	,	,	PUNCT
ejpam-5461	791	14	b.	b.	PROPN
ejpam-5461	791	15	almutairi	almutairi	PROPN
ejpam-5461	791	16	,	,	PUNCT
ejpam-5461	791	17	and	and	CCONJ
ejpam-5461	791	18	r.	r.	PROPN
ejpam-5461	791	19	anjum	anjum	PROPN
ejpam-5461	791	20	.	.	PUNCT
ejpam-5461	792	1	fuzzy	fuzzy	ADJ
ejpam-5461	792	2	topological	topological	ADJ
ejpam-5461	792	3	analysis	analysis	NOUN
ejpam-5461	792	4	of	of	ADP
ejpam-5461	792	5	pizza	pizza	NOUN
ejpam-5461	792	6	graph	graph	NOUN
ejpam-5461	792	7	.	.	PUNCT
ejpam-5461	793	1	aims	aim	VERB
ejpam-5461	793	2	mathematics	mathematics	PROPN
ejpam-5461	793	3	,	,	PUNCT
ejpam-5461	793	4	8(6):12841–12856	8(6):12841–12856	PROPN
ejpam-5461	793	5	,	,	PUNCT
ejpam-5461	793	6	2023	2023	NUM
ejpam-5461	793	7	.	.	PUNCT
ejpam-5461	794	1	[	[	X
ejpam-5461	794	2	39	39	NUM
ejpam-5461	794	3	]	]	PUNCT
ejpam-5461	794	4	m.	m.	NOUN
ejpam-5461	794	5	mulla	mulla	NOUN
ejpam-5461	794	6	,	,	PUNCT
ejpam-5461	794	7	s.	s.	PROPN
ejpam-5461	794	8	broumi	broumi	PROPN
ejpam-5461	794	9	,	,	PUNCT
ejpam-5461	794	10	and	and	CCONJ
ejpam-5461	794	11	r.	r.	PROPN
ejpam-5461	794	12	jeyabalan	jeyabalan	PROPN
ejpam-5461	794	13	.	.	PUNCT
ejpam-5461	795	1	homomorphism	homomorphism	PROPN
ejpam-5461	795	2	and	and	CCONJ
ejpam-5461	795	3	isomorphism	isomorphism	NOUN
ejpam-5461	795	4	in	in	ADP
ejpam-5461	795	5	strong	strong	ADJ
ejpam-5461	795	6	neutrosophic	neutrosophic	ADJ
ejpam-5461	795	7	graphs	graph	NOUN
ejpam-5461	795	8	.	.	PUNCT
ejpam-5461	796	1	international	international	ADJ
ejpam-5461	796	2	journal	journal	PROPN
ejpam-5461	796	3	of	of	ADP
ejpam-5461	796	4	neutrosophic	neutrosophic	ADJ
ejpam-5461	796	5	science	science	NOUN
ejpam-5461	796	6	,	,	PUNCT
ejpam-5461	796	7	pages	page	NOUN
ejpam-5461	796	8	8–20	8–20	PROPN
ejpam-5461	796	9	,	,	PUNCT
ejpam-5461	796	10	2019	2019	NUM
ejpam-5461	796	11	.	.	PUNCT
ejpam-5461	797	1	[	[	X
ejpam-5461	797	2	40	40	NUM
ejpam-5461	797	3	]	]	PUNCT
ejpam-5461	797	4	t.	t.	PROPN
ejpam-5461	797	5	naeem	naeem	PROPN
ejpam-5461	797	6	,	,	PUNCT
ejpam-5461	797	7	a.	a.	PROPN
ejpam-5461	797	8	gumaei	gumaei	PROPN
ejpam-5461	797	9	,	,	PUNCT
ejpam-5461	797	10	m.k	m.k	PROPN
ejpam-5461	797	11	.	.	PROPN
ejpam-5461	797	12	jamil	jamil	PROPN
ejpam-5461	797	13	,	,	PUNCT
ejpam-5461	797	14	a.	a.	NOUN
ejpam-5461	797	15	alsanad	alsanad	PROPN
ejpam-5461	797	16	,	,	PUNCT
ejpam-5461	797	17	and	and	CCONJ
ejpam-5461	797	18	k.	k.	PROPN
ejpam-5461	797	19	ullah	ullah	PROPN
ejpam-5461	797	20	.	.	PUNCT
ejpam-5461	798	1	connectivity	connectivity	NOUN
ejpam-5461	798	2	indices	index	NOUN
ejpam-5461	798	3	of	of	ADP
ejpam-5461	798	4	intuitionistic	intuitionistic	ADJ
ejpam-5461	798	5	fuzzy	fuzzy	ADJ
ejpam-5461	798	6	graphs	graph	NOUN
ejpam-5461	798	7	and	and	CCONJ
ejpam-5461	798	8	their	their	PRON
ejpam-5461	798	9	applications	application	NOUN
ejpam-5461	798	10	in	in	ADP
ejpam-5461	798	11	internet	internet	NOUN
ejpam-5461	798	12	routing	routing	NOUN
ejpam-5461	798	13	and	and	CCONJ
ejpam-5461	798	14	transport	transport	NOUN
ejpam-5461	798	15	network	network	NOUN
ejpam-5461	798	16	flow	flow	NOUN
ejpam-5461	798	17	.	.	PUNCT
ejpam-5461	799	1	mathematical	mathematical	ADJ
ejpam-5461	799	2	problems	problem	NOUN
ejpam-5461	799	3	in	in	ADP
ejpam-5461	799	4	engineering	engineering	NOUN
ejpam-5461	799	5	,	,	PUNCT
ejpam-5461	799	6	2021:1–16	2021:1–16	NOUN
ejpam-5461	799	7	,	,	PUNCT
ejpam-5461	799	8	2021	2021	NUM
ejpam-5461	799	9	.	.	PUNCT
ejpam-5461	800	1	references	reference	NOUN
ejpam-5461	800	2	2619	2619	NUM
ejpam-5461	800	3	[	[	X
ejpam-5461	800	4	41	41	NUM
ejpam-5461	800	5	]	]	X
ejpam-5461	800	6	n.	n.	PROPN
ejpam-5461	800	7	nazir	nazir	PROPN
ejpam-5461	800	8	,	,	PUNCT
ejpam-5461	800	9	t.	t.	PROPN
ejpam-5461	800	10	shaheen	shaheen	PROPN
ejpam-5461	800	11	,	,	PUNCT
ejpam-5461	800	12	l.s	l.s	PROPN
ejpam-5461	800	13	.	.	PROPN
ejpam-5461	800	14	jin	jin	PROPN
ejpam-5461	800	15	,	,	PUNCT
ejpam-5461	800	16	and	and	CCONJ
ejpam-5461	800	17	t.	t.	PROPN
ejpam-5461	800	18	senapati	senapati	PROPN
ejpam-5461	800	19	.	.	PUNCT
ejpam-5461	801	1	an	an	DET
ejpam-5461	801	2	improved	improved	ADJ
ejpam-5461	801	3	algorithm	algorithm	NOUN
ejpam-5461	801	4	for	for	ADP
ejpam-5461	801	5	identification	identification	NOUN
ejpam-5461	801	6	of	of	ADP
ejpam-5461	801	7	dominating	dominate	VERB
ejpam-5461	801	8	vertex	vertex	NOUN
ejpam-5461	801	9	set	set	VERB
ejpam-5461	801	10	intuitionistic	intuitionistic	ADJ
ejpam-5461	801	11	fuzzy	fuzzy	ADJ
ejpam-5461	801	12	graphs	graph	NOUN
ejpam-5461	801	13	.	.	PUNCT
ejpam-5461	802	1	axioms	axiom	NOUN
ejpam-5461	802	2	,	,	PUNCT
ejpam-5461	802	3	12(3):289	12(3):289	ADJ
ejpam-5461	802	4	,	,	PUNCT
ejpam-5461	802	5	2023	2023	NUM
ejpam-5461	802	6	.	.	PUNCT
ejpam-5461	803	1	[	[	X
ejpam-5461	803	2	42	42	NUM
ejpam-5461	803	3	]	]	PUNCT
ejpam-5461	803	4	r.	r.	PROPN
ejpam-5461	803	5	parvathi	parvathi	PROPN
ejpam-5461	803	6	and	and	CCONJ
ejpam-5461	803	7	m.g	m.g	PROPN
ejpam-5461	803	8	.	.	PROPN
ejpam-5461	803	9	karunambigai	karunambigai	PROPN
ejpam-5461	803	10	.	.	PUNCT
ejpam-5461	803	11	intuitionistic	intuitionistic	ADJ
ejpam-5461	803	12	fuzzy	fuzzy	ADJ
ejpam-5461	803	13	graphs	graph	NOUN
ejpam-5461	803	14	.	.	PUNCT
ejpam-5461	804	1	in	in	ADP
ejpam-5461	804	2	computational	computational	ADJ
ejpam-5461	804	3	intelligence	intelligence	NOUN
ejpam-5461	804	4	,	,	PUNCT
ejpam-5461	804	5	theory	theory	NOUN
ejpam-5461	804	6	and	and	CCONJ
ejpam-5461	804	7	applications	application	NOUN
ejpam-5461	804	8	:	:	PUNCT
ejpam-5461	804	9	international	international	ADJ
ejpam-5461	804	10	conference	conference	NOUN
ejpam-5461	804	11	9th	9th	ADJ
ejpam-5461	804	12	fuzzy	fuzzy	ADJ
ejpam-5461	804	13	days	day	NOUN
ejpam-5461	804	14	in	in	ADP
ejpam-5461	804	15	dortmund	dortmund	PROPN
ejpam-5461	804	16	,	,	PUNCT
ejpam-5461	804	17	germany	germany	PROPN
ejpam-5461	804	18	,	,	PUNCT
ejpam-5461	804	19	volume	volume	NOUN
ejpam-5461	804	20	18	18	NUM
ejpam-5461	804	21	,	,	PUNCT
ejpam-5461	804	22	pages	page	NOUN
ejpam-5461	804	23	139–150	139–150	NUM
ejpam-5461	804	24	.	.	PUNCT
ejpam-5461	804	25	2006	2006	NUM
ejpam-5461	804	26	.	.	PUNCT
ejpam-5461	805	1	[	[	X
ejpam-5461	805	2	43	43	NUM
ejpam-5461	805	3	]	]	X
ejpam-5461	805	4	r.	r.	PROPN
ejpam-5461	805	5	parvathi	parvathi	PROPN
ejpam-5461	805	6	,	,	PUNCT
ejpam-5461	805	7	m.g	m.g	PROPN
ejpam-5461	805	8	.	.	PROPN
ejpam-5461	805	9	karunambigai	karunambigai	PROPN
ejpam-5461	805	10	,	,	PUNCT
ejpam-5461	805	11	and	and	CCONJ
ejpam-5461	805	12	k.t	k.t	PROPN
ejpam-5461	805	13	.	.	PROPN
ejpam-5461	805	14	atanassov	atanassov	PROPN
ejpam-5461	805	15	.	.	PUNCT
ejpam-5461	806	1	operations	operation	NOUN
ejpam-5461	806	2	on	on	ADP
ejpam-5461	806	3	intuitionistic	intuitionistic	ADJ
ejpam-5461	806	4	fuzzy	fuzzy	ADJ
ejpam-5461	806	5	graphs	graph	NOUN
ejpam-5461	806	6	.	.	PUNCT
ejpam-5461	807	1	in	in	ADP
ejpam-5461	807	2	2009	2009	NUM
ejpam-5461	807	3	ieee	ieee	NOUN
ejpam-5461	807	4	international	international	ADJ
ejpam-5461	807	5	conference	conference	NOUN
ejpam-5461	807	6	on	on	ADP
ejpam-5461	807	7	fuzzy	fuzzy	ADJ
ejpam-5461	807	8	systems	system	NOUN
ejpam-5461	807	9	.	.	PUNCT
ejpam-5461	808	1	ieee	ieee	PROPN
ejpam-5461	808	2	,	,	PUNCT
ejpam-5461	808	3	2009	2009	NUM
ejpam-5461	808	4	.	.	PUNCT
ejpam-5461	809	1	[	[	X
ejpam-5461	809	2	44	44	NUM
ejpam-5461	809	3	]	]	PUNCT
ejpam-5461	809	4	k.	k.	PROPN
ejpam-5461	809	5	poczeta	poczeta	PROPN
ejpam-5461	809	6	,	,	PUNCT
ejpam-5461	809	7	l.	l.	PROPN
ejpam-5461	809	8	kubu	kubu	PROPN
ejpam-5461	809	9	’s	’s	PART
ejpam-5461	809	10	,	,	PUNCT
ejpam-5461	809	11	and	and	CCONJ
ejpam-5461	809	12	a.	a.	PROPN
ejpam-5461	809	13	yastrebov	yastrebov	PROPN
ejpam-5461	809	14	.	.	PUNCT
ejpam-5461	810	1	analysis	analysis	NOUN
ejpam-5461	810	2	of	of	ADP
ejpam-5461	810	3	an	an	DET
ejpam-5461	810	4	evolutionary	evolutionary	ADJ
ejpam-5461	810	5	algorithm	algorithm	NOUN
ejpam-5461	810	6	for	for	ADP
ejpam-5461	810	7	complex	complex	ADJ
ejpam-5461	810	8	fuzzy	fuzzy	ADJ
ejpam-5461	810	9	cognitive	cognitive	ADJ
ejpam-5461	810	10	map	map	NOUN
ejpam-5461	810	11	learning	learn	VERB
ejpam-5461	810	12	based	base	VERB
ejpam-5461	810	13	on	on	ADP
ejpam-5461	810	14	graph	graph	NOUN
ejpam-5461	810	15	theory	theory	NOUN
ejpam-5461	810	16	metrics	metric	NOUN
ejpam-5461	810	17	and	and	CCONJ
ejpam-5461	810	18	output	output	NOUN
ejpam-5461	810	19	concepts	concept	NOUN
ejpam-5461	810	20	.	.	PUNCT
ejpam-5461	811	1	biosystems	biosystems	PROPN
ejpam-5461	811	2	,	,	PUNCT
ejpam-5461	811	3	179:39–47	179:39–47	NUM
ejpam-5461	811	4	,	,	PUNCT
ejpam-5461	811	5	2019	2019	NUM
ejpam-5461	811	6	.	.	PUNCT
ejpam-5461	812	1	[	[	X
ejpam-5461	812	2	45	45	NUM
ejpam-5461	812	3	]	]	PUNCT
ejpam-5461	812	4	b.	b.	PROPN
ejpam-5461	812	5	praba	praba	PROPN
ejpam-5461	812	6	,	,	PUNCT
ejpam-5461	812	7	v.m	v.m	PROPN
ejpam-5461	812	8	.	.	PROPN
ejpam-5461	812	9	chandrasekaran	chandrasekaran	VERB
ejpam-5461	812	10	,	,	PUNCT
ejpam-5461	812	11	and	and	CCONJ
ejpam-5461	812	12	g.	g.	PROPN
ejpam-5461	812	13	deepa	deepa	PROPN
ejpam-5461	812	14	.	.	PUNCT
ejpam-5461	813	1	energy	energy	NOUN
ejpam-5461	813	2	of	of	ADP
ejpam-5461	813	3	an	an	DET
ejpam-5461	813	4	intuitionistic	intuitionistic	ADJ
ejpam-5461	813	5	fuzzy	fuzzy	ADJ
ejpam-5461	813	6	graph	graph	NOUN
ejpam-5461	813	7	.	.	PUNCT
ejpam-5461	814	1	italian	italian	ADJ
ejpam-5461	814	2	journal	journal	NOUN
ejpam-5461	814	3	of	of	ADP
ejpam-5461	814	4	pure	pure	ADJ
ejpam-5461	814	5	and	and	CCONJ
ejpam-5461	814	6	applied	applied	ADJ
ejpam-5461	814	7	mathematics	mathematic	NOUN
ejpam-5461	814	8	,	,	PUNCT
ejpam-5461	814	9	32:431–444	32:431–444	PROPN
ejpam-5461	814	10	,	,	PUNCT
ejpam-5461	814	11	2014	2014	NUM
ejpam-5461	814	12	.	.	PUNCT
ejpam-5461	815	1	[	[	X
ejpam-5461	815	2	46	46	NUM
ejpam-5461	815	3	]	]	PUNCT
ejpam-5461	815	4	k.	k.	PROPN
ejpam-5461	815	5	prakash	prakash	PROPN
ejpam-5461	815	6	,	,	PUNCT
ejpam-5461	815	7	m.	m.	NOUN
ejpam-5461	815	8	parimala	parimala	PROPN
ejpam-5461	815	9	,	,	PUNCT
ejpam-5461	815	10	h.	h.	PROPN
ejpam-5461	815	11	garg	garg	PROPN
ejpam-5461	815	12	,	,	PUNCT
ejpam-5461	815	13	and	and	CCONJ
ejpam-5461	815	14	m.	m.	PROPN
ejpam-5461	815	15	riaz	riaz	PROPN
ejpam-5461	815	16	.	.	PUNCT
ejpam-5461	816	1	lifetime	lifetime	NOUN
ejpam-5461	816	2	prolongation	prolongation	NOUN
ejpam-5461	816	3	of	of	ADP
ejpam-5461	816	4	a	a	DET
ejpam-5461	816	5	wireless	wireless	NOUN
ejpam-5461	816	6	charging	charge	VERB
ejpam-5461	816	7	sensor	sensor	NOUN
ejpam-5461	816	8	network	network	NOUN
ejpam-5461	816	9	using	use	VERB
ejpam-5461	816	10	a	a	DET
ejpam-5461	816	11	mobile	mobile	ADJ
ejpam-5461	816	12	robot	robot	NOUN
ejpam-5461	816	13	via	via	ADP
ejpam-5461	816	14	linear	linear	ADJ
ejpam-5461	816	15	diophantine	diophantine	NOUN
ejpam-5461	816	16	fuzzy	fuzzy	ADJ
ejpam-5461	816	17	graph	graph	NOUN
ejpam-5461	816	18	environment	environment	NOUN
ejpam-5461	816	19	.	.	PUNCT
ejpam-5461	817	1	complex	complex	ADJ
ejpam-5461	817	2	intelligent	intelligent	ADJ
ejpam-5461	817	3	systems	system	NOUN
ejpam-5461	817	4	,	,	PUNCT
ejpam-5461	817	5	8(3):2419–2434	8(3):2419–2434	NOUN
ejpam-5461	817	6	,	,	PUNCT
ejpam-5461	817	7	2022	2022	NUM
ejpam-5461	817	8	.	.	PUNCT
ejpam-5461	818	1	[	[	X
ejpam-5461	818	2	47	47	NUM
ejpam-5461	818	3	]	]	PUNCT
ejpam-5461	818	4	m.	m.	NOUN
ejpam-5461	818	5	rajeshwari	rajeshwari	PROPN
ejpam-5461	818	6	,	,	PUNCT
ejpam-5461	818	7	r.	r.	PROPN
ejpam-5461	818	8	murugesan	murugesan	PROPN
ejpam-5461	818	9	,	,	PUNCT
ejpam-5461	818	10	m.	m.	NOUN
ejpam-5461	818	11	kaviyarasu	kaviyarasu	PROPN
ejpam-5461	818	12	,	,	PUNCT
ejpam-5461	818	13	and	and	CCONJ
ejpam-5461	818	14	c.	c.	PROPN
ejpam-5461	818	15	subrahmanyam	subrahmanyam	PROPN
ejpam-5461	818	16	.	.	PUNCT
ejpam-5461	819	1	bipolar	bipolar	ADJ
ejpam-5461	819	2	fuzzy	fuzzy	ADJ
ejpam-5461	819	3	graph	graph	NOUN
ejpam-5461	819	4	on	on	ADP
ejpam-5461	819	5	certain	certain	ADJ
ejpam-5461	819	6	topological	topological	ADJ
ejpam-5461	819	7	indices	index	NOUN
ejpam-5461	819	8	.	.	PUNCT
ejpam-5461	820	1	journal	journal	NOUN
ejpam-5461	820	2	of	of	ADP
ejpam-5461	820	3	algebra	algebra	PROPN
ejpam-5461	820	4	and	and	CCONJ
ejpam-5461	820	5	statistics	statistic	NOUN
ejpam-5461	820	6	,	,	PUNCT
ejpam-5461	820	7	13(3):2476–2481	13(3):2476–2481	NUM
ejpam-5461	820	8	,	,	PUNCT
ejpam-5461	820	9	2022	2022	NUM
ejpam-5461	820	10	.	.	PUNCT
ejpam-5461	821	1	[	[	X
ejpam-5461	821	2	48	48	NUM
ejpam-5461	821	3	]	]	PUNCT
ejpam-5461	821	4	h.	h.	PROPN
ejpam-5461	821	5	rashmanlou	rashmanlou	PROPN
ejpam-5461	821	6	,	,	PUNCT
ejpam-5461	821	7	m.	m.	NOUN
ejpam-5461	821	8	pal	pal	NOUN
ejpam-5461	821	9	,	,	PUNCT
ejpam-5461	821	10	s.	s.	PROPN
ejpam-5461	821	11	raut	raut	PROPN
ejpam-5461	821	12	,	,	PUNCT
ejpam-5461	821	13	f.	f.	PROPN
ejpam-5461	821	14	mofidnakhaei	mofidnakhaei	PROPN
ejpam-5461	821	15	,	,	PUNCT
ejpam-5461	821	16	and	and	CCONJ
ejpam-5461	821	17	b.	b.	PROPN
ejpam-5461	821	18	sarkar	sarkar	PROPN
ejpam-5461	821	19	.	.	PUNCT
ejpam-5461	822	1	novel	novel	ADJ
ejpam-5461	822	2	concepts	concept	NOUN
ejpam-5461	822	3	in	in	ADP
ejpam-5461	822	4	intuitionistic	intuitionistic	ADJ
ejpam-5461	822	5	fuzzy	fuzzy	ADJ
ejpam-5461	822	6	graphs	graph	NOUN
ejpam-5461	822	7	with	with	ADP
ejpam-5461	822	8	application	application	NOUN
ejpam-5461	822	9	.	.	PUNCT
ejpam-5461	823	1	journal	journal	NOUN
ejpam-5461	823	2	of	of	ADP
ejpam-5461	823	3	intelligent	intelligent	ADJ
ejpam-5461	823	4	fuzzy	fuzzy	ADJ
ejpam-5461	823	5	systems	system	NOUN
ejpam-5461	823	6	,	,	PUNCT
ejpam-5461	823	7	37(3):3743	37(3):3743	NUM
ejpam-5461	823	8	–	–	PUNCT
ejpam-5461	823	9	3749	3749	NUM
ejpam-5461	823	10	,	,	PUNCT
ejpam-5461	823	11	2019	2019	NUM
ejpam-5461	823	12	.	.	PUNCT
ejpam-5461	824	1	[	[	X
ejpam-5461	824	2	49	49	NUM
ejpam-5461	824	3	]	]	X
ejpam-5461	824	4	h.	h.	PROPN
ejpam-5461	824	5	rashmanlou	rashmanlou	PROPN
ejpam-5461	824	6	,	,	PUNCT
ejpam-5461	824	7	s.	s.	PROPN
ejpam-5461	824	8	samanta	samanta	PROPN
ejpam-5461	824	9	,	,	PUNCT
ejpam-5461	824	10	m.	m.	NOUN
ejpam-5461	824	11	pal	pal	NOUN
ejpam-5461	824	12	,	,	PUNCT
ejpam-5461	824	13	and	and	CCONJ
ejpam-5461	824	14	r.a	r.a	PROPN
ejpam-5461	824	15	.	.	PROPN
ejpam-5461	824	16	borzooei	borzooei	PROPN
ejpam-5461	824	17	.	.	PUNCT
ejpam-5461	825	1	intuitionistic	intuitionistic	ADJ
ejpam-5461	825	2	fuzzy	fuzzy	ADJ
ejpam-5461	825	3	graphs	graph	NOUN
ejpam-5461	825	4	with	with	ADP
ejpam-5461	825	5	categorical	categorical	ADJ
ejpam-5461	825	6	properties	property	NOUN
ejpam-5461	825	7	.	.	PUNCT
ejpam-5461	826	1	fuzzy	fuzzy	ADJ
ejpam-5461	826	2	information	information	NOUN
ejpam-5461	826	3	and	and	CCONJ
ejpam-5461	826	4	engineering	engineering	NOUN
ejpam-5461	826	5	,	,	PUNCT
ejpam-5461	826	6	7(3):317–334	7(3):317–334	NUM
ejpam-5461	826	7	,	,	PUNCT
ejpam-5461	826	8	2015	2015	NUM
ejpam-5461	826	9	.	.	PUNCT
ejpam-5461	827	1	[	[	X
ejpam-5461	827	2	50	50	NUM
ejpam-5461	827	3	]	]	X
ejpam-5461	827	4	d.t	d.t	PROPN
ejpam-5461	827	5	.	.	PROPN
ejpam-5461	827	6	hanumantha	hanumantha	PROPN
ejpam-5461	827	7	reddy	reddy	PROPN
ejpam-5461	827	8	,	,	PUNCT
ejpam-5461	827	9	m.v	m.v	PROPN
ejpam-5461	827	10	.	.	PROPN
ejpam-5461	827	11	chakradhara	chakradhara	PROPN
ejpam-5461	827	12	rao	rao	PROPN
ejpam-5461	827	13	,	,	PUNCT
ejpam-5461	827	14	and	and	CCONJ
ejpam-5461	827	15	s.m	s.m	PROPN
ejpam-5461	827	16	.	.	PROPN
ejpam-5461	827	17	hosamani	hosamani	PROPN
ejpam-5461	827	18	.	.	PUNCT
ejpam-5461	828	1	sombor	sombor	NOUN
ejpam-5461	828	2	index	index	NOUN
ejpam-5461	828	3	of	of	ADP
ejpam-5461	828	4	fuzzy	fuzzy	ADJ
ejpam-5461	828	5	graphs	graph	NOUN
ejpam-5461	828	6	and	and	CCONJ
ejpam-5461	828	7	its	its	PRON
ejpam-5461	828	8	applications	application	NOUN
ejpam-5461	828	9	.	.	PUNCT
ejpam-5461	829	1	journal	journal	NOUN
ejpam-5461	829	2	of	of	ADP
ejpam-5461	829	3	propulsion	propulsion	NOUN
ejpam-5461	829	4	technology	technology	NOUN
ejpam-5461	829	5	,	,	PUNCT
ejpam-5461	829	6	44(6	44(6	NOUN
ejpam-5461	829	7	)	)	PUNCT
ejpam-5461	829	8	,	,	PUNCT
ejpam-5461	829	9	2023	2023	NUM
ejpam-5461	829	10	.	.	PUNCT
ejpam-5461	830	1	[	[	X
ejpam-5461	830	2	51	51	NUM
ejpam-5461	830	3	]	]	PUNCT
ejpam-5461	830	4	s.	s.	PROPN
ejpam-5461	830	5	sahoo	sahoo	PROPN
ejpam-5461	830	6	and	and	CCONJ
ejpam-5461	830	7	m.	m.	PROPN
ejpam-5461	830	8	pal	pal	PROPN
ejpam-5461	830	9	.	.	PUNCT
ejpam-5461	831	1	different	different	ADJ
ejpam-5461	831	2	types	type	NOUN
ejpam-5461	831	3	of	of	ADP
ejpam-5461	831	4	products	product	NOUN
ejpam-5461	831	5	on	on	ADP
ejpam-5461	831	6	intuitionistic	intuitionistic	ADJ
ejpam-5461	831	7	fuzzy	fuzzy	ADJ
ejpam-5461	831	8	graphs	graph	NOUN
ejpam-5461	831	9	.	.	PUNCT
ejpam-5461	832	1	pacific	pacific	PROPN
ejpam-5461	832	2	science	science	PROPN
ejpam-5461	832	3	review	review	NOUN
ejpam-5461	832	4	a	a	DET
ejpam-5461	832	5	:	:	PUNCT
ejpam-5461	832	6	natural	natural	ADJ
ejpam-5461	832	7	science	science	NOUN
ejpam-5461	832	8	and	and	CCONJ
ejpam-5461	832	9	engineering	engineering	NOUN
ejpam-5461	832	10	,	,	PUNCT
ejpam-5461	832	11	17(3):87–96	17(3):87–96	NUM
ejpam-5461	832	12	,	,	PUNCT
ejpam-5461	832	13	2015	2015	NUM
ejpam-5461	832	14	.	.	PUNCT
ejpam-5461	833	1	[	[	X
ejpam-5461	833	2	52	52	NUM
ejpam-5461	833	3	]	]	PUNCT
ejpam-5461	833	4	s.	s.	PROPN
ejpam-5461	833	5	sahoo	sahoo	PROPN
ejpam-5461	833	6	and	and	CCONJ
ejpam-5461	833	7	m.	m.	PROPN
ejpam-5461	833	8	pal	pal	NOUN
ejpam-5461	833	9	.	.	PUNCT
ejpam-5461	834	1	product	product	NOUN
ejpam-5461	834	2	of	of	ADP
ejpam-5461	834	3	intuitionistic	intuitionistic	ADJ
ejpam-5461	834	4	fuzzy	fuzzy	ADJ
ejpam-5461	834	5	graphs	graph	NOUN
ejpam-5461	834	6	and	and	CCONJ
ejpam-5461	834	7	degree	degree	NOUN
ejpam-5461	834	8	.	.	PUNCT
ejpam-5461	835	1	journal	journal	NOUN
ejpam-5461	835	2	of	of	ADP
ejpam-5461	835	3	intelligent	intelligent	ADJ
ejpam-5461	835	4	fuzzy	fuzzy	ADJ
ejpam-5461	835	5	systems	system	NOUN
ejpam-5461	835	6	,	,	PUNCT
ejpam-5461	835	7	32(1):1059–1067	32(1):1059–1067	NUM
ejpam-5461	835	8	,	,	PUNCT
ejpam-5461	835	9	2017	2017	NUM
ejpam-5461	835	10	.	.	PUNCT
ejpam-5461	836	1	[	[	X
ejpam-5461	836	2	53	53	NUM
ejpam-5461	836	3	]	]	PUNCT
ejpam-5461	836	4	s.b	s.b	PROPN
ejpam-5461	836	5	.	.	PROPN
ejpam-5461	836	6	saila	saila	PROPN
ejpam-5461	836	7	.	.	PUNCT
ejpam-5461	837	1	application	application	NOUN
ejpam-5461	837	2	of	of	ADP
ejpam-5461	837	3	fuzzy	fuzzy	ADJ
ejpam-5461	837	4	graph	graph	NOUN
ejpam-5461	837	5	theory	theory	NOUN
ejpam-5461	837	6	to	to	PART
ejpam-5461	837	7	successional	successional	ADJ
ejpam-5461	837	8	analysis	analysis	NOUN
ejpam-5461	837	9	of	of	ADP
ejpam-5461	837	10	a	a	DET
ejpam-5461	837	11	multispecies	multispecie	NOUN
ejpam-5461	837	12	trawl	trawl	NOUN
ejpam-5461	837	13	fishery	fishery	NOUN
ejpam-5461	837	14	.	.	PUNCT
ejpam-5461	838	1	transactions	transaction	NOUN
ejpam-5461	838	2	of	of	ADP
ejpam-5461	838	3	the	the	DET
ejpam-5461	838	4	american	american	PROPN
ejpam-5461	838	5	fisheries	fisheries	PROPN
ejpam-5461	838	6	society	society	NOUN
ejpam-5461	838	7	,	,	PUNCT
ejpam-5461	838	8	121(2):211–233	121(2):211–233	NUM
ejpam-5461	838	9	,	,	PUNCT
ejpam-5461	838	10	1992	1992	NUM
ejpam-5461	838	11	.	.	PUNCT
ejpam-5461	839	1	[	[	X
ejpam-5461	839	2	54	54	NUM
ejpam-5461	839	3	]	]	PUNCT
ejpam-5461	839	4	t.	t.	NOUN
ejpam-5461	839	5	senapati	senapati	PROPN
ejpam-5461	839	6	,	,	PUNCT
ejpam-5461	839	7	g.	g.	PROPN
ejpam-5461	839	8	chen	chen	PROPN
ejpam-5461	839	9	,	,	PUNCT
ejpam-5461	839	10	r.	r.	PROPN
ejpam-5461	839	11	mesiar	mesiar	PROPN
ejpam-5461	839	12	,	,	PUNCT
ejpam-5461	839	13	and	and	CCONJ
ejpam-5461	839	14	r.r	r.r	PROPN
ejpam-5461	839	15	.	.	PROPN
ejpam-5461	839	16	yager	yager	PROPN
ejpam-5461	839	17	.	.	PUNCT
ejpam-5461	840	1	intuitionistic	intuitionistic	ADJ
ejpam-5461	840	2	fuzzy	fuzzy	ADJ
ejpam-5461	840	3	geometric	geometric	ADJ
ejpam-5461	840	4	aggregation	aggregation	NOUN
ejpam-5461	840	5	operators	operator	NOUN
ejpam-5461	840	6	in	in	ADP
ejpam-5461	840	7	the	the	DET
ejpam-5461	840	8	framework	framework	NOUN
ejpam-5461	840	9	of	of	ADP
ejpam-5461	840	10	aczel	aczel	NOUN
ejpam-5461	840	11	-	-	PUNCT
ejpam-5461	840	12	alsina	alsina	NOUN
ejpam-5461	840	13	triangular	triangular	NOUN
ejpam-5461	840	14	norms	norm	NOUN
ejpam-5461	840	15	and	and	CCONJ
ejpam-5461	840	16	their	their	PRON
ejpam-5461	840	17	application	application	NOUN
ejpam-5461	840	18	to	to	ADP
ejpam-5461	840	19	multiple	multiple	ADJ
ejpam-5461	840	20	attribute	attribute	NOUN
ejpam-5461	840	21	decision	decision	NOUN
ejpam-5461	840	22	making	making	NOUN
ejpam-5461	840	23	.	.	PUNCT
ejpam-5461	841	1	expert	expert	NOUN
ejpam-5461	841	2	systems	system	NOUN
ejpam-5461	841	3	with	with	ADP
ejpam-5461	841	4	applications	application	NOUN
ejpam-5461	841	5	,	,	PUNCT
ejpam-5461	841	6	212:118832	212:118832	NUM
ejpam-5461	841	7	,	,	PUNCT
ejpam-5461	841	8	2023	2023	NUM
ejpam-5461	841	9	.	.	PUNCT
ejpam-5461	842	1	[	[	X
ejpam-5461	842	2	55	55	NUM
ejpam-5461	842	3	]	]	PUNCT
ejpam-5461	842	4	t.	t.	NOUN
ejpam-5461	842	5	senapati	senapati	PROPN
ejpam-5461	842	6	,	,	PUNCT
ejpam-5461	842	7	v.	v.	PROPN
ejpam-5461	842	8	simic	simic	PROPN
ejpam-5461	842	9	,	,	PUNCT
ejpam-5461	842	10	a.	a.	PROPN
ejpam-5461	842	11	saha	saha	PROPN
ejpam-5461	842	12	,	,	PUNCT
ejpam-5461	842	13	m.	m.	NOUN
ejpam-5461	842	14	dobrodolac	dobrodolac	PROPN
ejpam-5461	842	15	,	,	PUNCT
ejpam-5461	842	16	y.	y.	PROPN
ejpam-5461	842	17	rong	rong	PROPN
ejpam-5461	842	18	,	,	PUNCT
ejpam-5461	842	19	and	and	CCONJ
ejpam-5461	843	1	e.b	e.b	PROPN
ejpam-5461	843	2	.	.	PUNCT
ejpam-5461	844	1	tirkolaee	tirkolaee	PROPN
ejpam-5461	844	2	.	.	PUNCT
ejpam-5461	845	1	intuitionistic	intuitionistic	ADJ
ejpam-5461	845	2	fuzzy	fuzzy	ADJ
ejpam-5461	845	3	power	power	NOUN
ejpam-5461	845	4	aczel	aczel	PROPN
ejpam-5461	845	5	-	-	PUNCT
ejpam-5461	845	6	alsina	alsina	NOUN
ejpam-5461	845	7	model	model	NOUN
ejpam-5461	845	8	for	for	ADP
ejpam-5461	845	9	prioritization	prioritization	NOUN
ejpam-5461	845	10	of	of	ADP
ejpam-5461	845	11	sustainable	sustainable	ADJ
ejpam-5461	845	12	transportation	transportation	NOUN
ejpam-5461	845	13	sharing	sharing	NOUN
ejpam-5461	845	14	practices	practice	NOUN
ejpam-5461	845	15	.	.	PUNCT
ejpam-5461	846	1	engineering	engineering	NOUN
ejpam-5461	846	2	applications	application	NOUN
ejpam-5461	846	3	of	of	ADP
ejpam-5461	846	4	artificial	artificial	ADJ
ejpam-5461	846	5	intelligence	intelligence	NOUN
ejpam-5461	846	6	,	,	PUNCT
ejpam-5461	846	7	119:105716	119:105716	NUM
ejpam-5461	846	8	,	,	PUNCT
ejpam-5461	846	9	2023	2023	NUM
ejpam-5461	846	10	.	.	PUNCT
ejpam-5461	847	1	[	[	X
ejpam-5461	847	2	56	56	NUM
ejpam-5461	847	3	]	]	PUNCT
ejpam-5461	847	4	a.	a.	NOUN
ejpam-5461	847	5	shannon	shannon	PROPN
ejpam-5461	847	6	and	and	CCONJ
ejpam-5461	847	7	k.t	k.t	PROPN
ejpam-5461	847	8	.	.	PROPN
ejpam-5461	847	9	atanassov	atanassov	PROPN
ejpam-5461	847	10	.	.	PUNCT
ejpam-5461	848	1	on	on	ADP
ejpam-5461	848	2	a	a	DET
ejpam-5461	848	3	generalization	generalization	NOUN
ejpam-5461	848	4	of	of	ADP
ejpam-5461	848	5	intuitionistic	intuitionistic	ADJ
ejpam-5461	848	6	fuzzy	fuzzy	ADJ
ejpam-5461	848	7	graphs	graph	NOUN
ejpam-5461	848	8	.	.	PUNCT
ejpam-5461	849	1	notes	note	NOUN
ejpam-5461	849	2	on	on	ADP
ejpam-5461	849	3	intuitionistic	intuitionistic	ADJ
ejpam-5461	849	4	fuzzy	fuzzy	ADJ
ejpam-5461	849	5	sets	set	NOUN
ejpam-5461	849	6	,	,	PUNCT
ejpam-5461	849	7	12(1):24–29	12(1):24–29	NUM
ejpam-5461	849	8	,	,	PUNCT
ejpam-5461	849	9	2006	2006	NUM
ejpam-5461	849	10	.	.	PUNCT
ejpam-5461	850	1	references	reference	NOUN
ejpam-5461	850	2	2620	2620	NUM
ejpam-5461	851	1	[	[	X
ejpam-5461	851	2	57	57	NUM
ejpam-5461	851	3	]	]	SYM
ejpam-5461	851	4	m.i	m.i	PROPN
ejpam-5461	851	5	.	.	PROPN
ejpam-5461	851	6	stankevich	stankevich	PROPN
ejpam-5461	851	7	,	,	PUNCT
ejpam-5461	851	8	i.v	i.v	PROPN
ejpam-5461	851	9	.	.	PROPN
ejpam-5461	851	10	stankevich	stankevich	PROPN
ejpam-5461	851	11	,	,	PUNCT
ejpam-5461	851	12	and	and	CCONJ
ejpam-5461	851	13	n.s	n.s	PROPN
ejpam-5461	851	14	.	.	PROPN
ejpam-5461	851	15	zefirov	zefirov	PROPN
ejpam-5461	851	16	.	.	PUNCT
ejpam-5461	852	1	topological	topological	ADJ
ejpam-5461	852	2	indices	index	NOUN
ejpam-5461	852	3	in	in	ADP
ejpam-5461	852	4	organic	organic	ADJ
ejpam-5461	852	5	chemistry	chemistry	NOUN
ejpam-5461	852	6	.	.	PUNCT
ejpam-5461	853	1	russian	russian	ADJ
ejpam-5461	853	2	chemical	chemical	NOUN
ejpam-5461	853	3	reviews	review	NOUN
ejpam-5461	853	4	,	,	PUNCT
ejpam-5461	853	5	57(3):191	57(3):191	NUM
ejpam-5461	853	6	,	,	PUNCT
ejpam-5461	853	7	1988	1988	NUM
ejpam-5461	853	8	.	.	PUNCT
ejpam-5461	854	1	[	[	X
ejpam-5461	854	2	58	58	NUM
ejpam-5461	854	3	]	]	PUNCT
ejpam-5461	854	4	h.	h.	PROPN
ejpam-5461	854	5	wiener	wiener	PROPN
ejpam-5461	854	6	.	.	PUNCT
ejpam-5461	855	1	structural	structural	ADJ
ejpam-5461	855	2	determination	determination	NOUN
ejpam-5461	855	3	of	of	ADP
ejpam-5461	855	4	paraffin	paraffin	NOUN
ejpam-5461	855	5	boiling	boiling	NOUN
ejpam-5461	855	6	points	point	NOUN
ejpam-5461	855	7	.	.	PUNCT
ejpam-5461	856	1	journal	journal	NOUN
ejpam-5461	856	2	of	of	ADP
ejpam-5461	856	3	the	the	DET
ejpam-5461	856	4	american	american	PROPN
ejpam-5461	856	5	chemical	chemical	PROPN
ejpam-5461	856	6	society	society	PROPN
ejpam-5461	856	7	,	,	PUNCT
ejpam-5461	856	8	69(1):17–20	69(1):17–20	NUM
ejpam-5461	856	9	,	,	PUNCT
ejpam-5461	856	10	1947	1947	NUM
ejpam-5461	856	11	.	.	PUNCT
ejpam-5461	857	1	[	[	X
ejpam-5461	857	2	59	59	NUM
ejpam-5461	857	3	]	]	SYM
ejpam-5461	857	4	l.a	l.a	PROPN
ejpam-5461	857	5	.	.	PROPN
ejpam-5461	857	6	zadeh	zadeh	PROPN
ejpam-5461	857	7	.	.	PROPN
ejpam-5461	857	8	fuzzy	fuzzy	PROPN
ejpam-5461	857	9	set	set	NOUN
ejpam-5461	857	10	,	,	PUNCT
ejpam-5461	857	11	information	information	NOUN
ejpam-5461	857	12	and	and	CCONJ
ejpam-5461	857	13	control	control	NOUN
ejpam-5461	857	14	.	.	PUNCT
ejpam-5461	858	1	information	information	NOUN
ejpam-5461	858	2	and	and	CCONJ
ejpam-5461	858	3	control	control	NOUN
ejpam-5461	858	4	,	,	PUNCT
ejpam-5461	858	5	8:338–353	8:338–353	NUM
ejpam-5461	858	6	,	,	PUNCT
ejpam-5461	858	7	1965	1965	NUM
ejpam-5461	858	8	.	.	PUNCT
ejpam-5461	859	1	66	66	NUM
ejpam-5461	859	2	.	.	PUNCT
ejpam-5461	859	3	ma	ma	PROPN
ejpam-5461	859	4	mascrenghe	mascrenghe	PROPN
ejpam-5461	859	5	.	.	PUNCT
ejpam-5461	860	1	[	[	X
ejpam-5461	860	2	60	60	NUM
ejpam-5461	860	3	]	]	X
ejpam-5461	860	4	l.a	l.a	PROPN
ejpam-5461	860	5	.	.	PROPN
ejpam-5461	860	6	zadeh	zadeh	PROPN
ejpam-5461	860	7	.	.	PUNCT
ejpam-5461	860	8	fuzzy	fuzzy	ADJ
ejpam-5461	860	9	sets	set	NOUN
ejpam-5461	860	10	as	as	ADP
ejpam-5461	860	11	a	a	DET
ejpam-5461	860	12	basis	basis	NOUN
ejpam-5461	860	13	for	for	ADP
ejpam-5461	860	14	a	a	DET
ejpam-5461	860	15	theory	theory	NOUN
ejpam-5461	860	16	of	of	ADP
ejpam-5461	860	17	possibility	possibility	NOUN
ejpam-5461	860	18	.	.	PUNCT
ejpam-5461	861	1	fuzzy	fuzzy	ADJ
ejpam-5461	861	2	sets	set	NOUN
ejpam-5461	861	3	and	and	CCONJ
ejpam-5461	861	4	systems	system	NOUN
ejpam-5461	861	5	,	,	PUNCT
ejpam-5461	861	6	1(1):3–28	1(1):3–28	PROPN
ejpam-5461	861	7	,	,	PUNCT
ejpam-5461	861	8	1978	1978	NUM
ejpam-5461	861	9	.	.	PUNCT
ejpam-5461	862	1	[	[	X
ejpam-5461	862	2	61	61	NUM
ejpam-5461	862	3	]	]	PUNCT
ejpam-5461	862	4	j.	j.	PROPN
ejpam-5461	862	5	zhan	zhan	PROPN
ejpam-5461	862	6	,	,	PUNCT
ejpam-5461	862	7	h.m	h.m	PROPN
ejpam-5461	862	8	.	.	PROPN
ejpam-5461	862	9	malik	malik	PROPN
ejpam-5461	862	10	,	,	PUNCT
ejpam-5461	862	11	and	and	CCONJ
ejpam-5461	862	12	m.	m.	PROPN
ejpam-5461	862	13	akram	akram	PROPN
ejpam-5461	862	14	.	.	PUNCT
ejpam-5461	863	1	novel	novel	ADJ
ejpam-5461	863	2	decision	decision	NOUN
ejpam-5461	863	3	-	-	PUNCT
ejpam-5461	863	4	making	make	VERB
ejpam-5461	863	5	algorithms	algorithm	NOUN
ejpam-5461	863	6	based	base	VERB
ejpam-5461	863	7	on	on	ADP
ejpam-5461	863	8	intuitionistic	intuitionistic	ADJ
ejpam-5461	863	9	fuzzy	fuzzy	ADJ
ejpam-5461	863	10	rough	rough	ADJ
ejpam-5461	863	11	environment	environment	NOUN
ejpam-5461	863	12	.	.	PUNCT
ejpam-5461	864	1	international	international	ADJ
ejpam-5461	864	2	journal	journal	PROPN
ejpam-5461	864	3	of	of	ADP
ejpam-5461	864	4	machine	machine	NOUN
ejpam-5461	864	5	learning	learning	NOUN
ejpam-5461	864	6	and	and	CCONJ
ejpam-5461	864	7	cybernetics	cybernetic	NOUN
ejpam-5461	864	8	,	,	PUNCT
ejpam-5461	864	9	10:1459–1485	10:1459–1485	NUM
ejpam-5461	864	10	,	,	PUNCT
ejpam-5461	864	11	2019	2019	NUM
ejpam-5461	864	12	.	.	PUNCT
ejpam-5461	865	1	[	[	X
ejpam-5461	865	2	62	62	NUM
ejpam-5461	865	3	]	]	PUNCT
ejpam-5461	865	4	h.-j	h.-j	PROPN
ejpam-5461	865	5	.	.	PUNCT
ejpam-5461	865	6	zimmermann	zimmermann	PROPN
ejpam-5461	865	7	.	.	PUNCT
ejpam-5461	865	8	fuzzy	fuzzy	ADJ
ejpam-5461	865	9	set	set	PROPN
ejpam-5461	865	10	theory	theory	NOUN
ejpam-5461	865	11	.	.	PUNCT
ejpam-5461	866	1	wiley	wiley	PROPN
ejpam-5461	866	2	interdisciplinary	interdisciplinary	ADJ
ejpam-5461	866	3	reviews	review	NOUN
ejpam-5461	866	4	:	:	PUNCT
ejpam-5461	866	5	computational	computational	ADJ
ejpam-5461	866	6	statistics	statistic	NOUN
ejpam-5461	866	7	,	,	PUNCT
ejpam-5461	866	8	2(3):317–332	2(3):317–332	NUM
ejpam-5461	866	9	,	,	PUNCT
ejpam-5461	866	10	2010	2010	NUM
ejpam-5461	866	11	.	.	PUNCT
