id	sid	tid	token	lemma	pos
cana-2408	1	1	communications	communication	NOUN
cana-2408	1	2	on	on	ADP
cana-2408	1	3	applied	apply	VERB
cana-2408	1	4	nonlinear	nonlinear	ADJ
cana-2408	1	5	analysis	analysis	NOUN
cana-2408	1	6	issn	issn	NOUN
cana-2408	1	7	:	:	PUNCT
cana-2408	1	8	1074	1074	NUM
cana-2408	1	9	-	-	PUNCT
cana-2408	1	10	133x	133x	NUM
cana-2408	1	11	vol	vol	NOUN
cana-2408	1	12	32	32	NUM
cana-2408	1	13	no	no	NOUN
cana-2408	1	14	.	.	PUNCT
cana-2408	2	1	2s	2s	NUM
cana-2408	2	2	(	(	PUNCT
cana-2408	2	3	2025	2025	NUM
cana-2408	2	4	)	)	PUNCT
cana-2408	2	5	330	330	NUM
cana-2408	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2408	2	7	optimizing	optimize	VERB
cana-2408	2	8	phasor	phasor	NOUN
cana-2408	2	9	measurement	measurement	NOUN
cana-2408	2	10	units	unit	NOUN
cana-2408	2	11	placement	placement	NOUN
cana-2408	2	12	in	in	ADP
cana-2408	2	13	power	power	NOUN
cana-2408	2	14	networks	network	NOUN
cana-2408	2	15	using	use	VERB
cana-2408	2	16	betweenness	betweenness	PROPN
cana-2408	2	17	centrality	centrality	NOUN
cana-2408	2	18	saravanan	saravanan	PROPN
cana-2408	2	19	m	m	VERB
cana-2408	2	20	1	1	NUM
cana-2408	2	21	,	,	PUNCT
cana-2408	2	22	sujatha	sujatha	PROPN
cana-2408	2	23	r	r	NOUN
cana-2408	2	24	2	2	NUM
cana-2408	2	25	,	,	PUNCT
cana-2408	2	26	sundareswaran	sundareswaran	ADJ
cana-2408	2	27	r	r	NOUN
cana-2408	2	28	3	3	NUM
cana-2408	2	29	,	,	PUNCT
cana-2408	2	30	venkat	venkat	PROPN
cana-2408	2	31	narayanan	narayanan	PROPN
cana-2408	2	32	g	g	PROPN
cana-2408	2	33	4	4	NUM
cana-2408	2	34	*	*	NUM
cana-2408	2	35	1pg	1pg	ADJ
cana-2408	2	36	and	and	CCONJ
cana-2408	2	37	research	research	NOUN
cana-2408	2	38	department	department	PROPN
cana-2408	2	39	of	of	ADP
cana-2408	2	40	mathematics	mathematics	PROPN
cana-2408	2	41	,	,	PUNCT
cana-2408	2	42	mannar	mannar	ADJ
cana-2408	2	43	thirumalai	thirumalai	NOUN
cana-2408	2	44	naciker	naciker	ADP
cana-2408	2	45	college	college	PROPN
cana-2408	2	46	,	,	PUNCT
cana-2408	2	47	madurai	madurai	PROPN
cana-2408	2	48	,	,	PUNCT
cana-2408	2	49	tamil	tamil	PROPN
cana-2408	2	50	nadu	nadu	PROPN
cana-2408	2	51	,	,	PUNCT
cana-2408	2	52	india	india	PROPN
cana-2408	2	53	,	,	PUNCT
cana-2408	2	54	email	email	NOUN
cana-2408	2	55	:	:	PUNCT
cana-2408	2	56	msaran81@gmail.com	msaran81@gmail.com	PROPN
cana-2408	2	57	2school	2school	NUM
cana-2408	2	58	of	of	ADP
cana-2408	2	59	science	science	NOUN
cana-2408	2	60	and	and	CCONJ
cana-2408	2	61	humanities(mathematics),shiv	humanities(mathematics),shiv	PROPN
cana-2408	2	62	nadar	nadar	PROPN
cana-2408	2	63	university	university	PROPN
cana-2408	2	64	,	,	PUNCT
cana-2408	2	65	,	,	PUNCT
cana-2408	2	66	chennai	chennai	PROPN
cana-2408	2	67	,	,	PUNCT
cana-2408	2	68	tamilnadu	tamilnadu	NOUN
cana-2408	2	69	,	,	PUNCT
cana-2408	2	70	india	india	PROPN
cana-2408	2	71	,	,	PUNCT
cana-2408	2	72	email	email	NOUN
cana-2408	2	73	:	:	PUNCT
cana-2408	2	74	sujathar@snuchennai.edu.in	sujathar@snuchennai.edu.in	PROPN
cana-2408	2	75	3department	3department	NUM
cana-2408	2	76	of	of	ADP
cana-2408	2	77	mathematics	mathematics	PROPN
cana-2408	2	78	,	,	PUNCT
cana-2408	2	79	ssn	ssn	PROPN
cana-2408	2	80	college	college	PROPN
cana-2408	2	81	of	of	ADP
cana-2408	2	82	engineering	engineering	PROPN
cana-2408	2	83	,	,	PUNCT
cana-2408	2	84	chennai	chennai	PROPN
cana-2408	2	85	,	,	PUNCT
cana-2408	2	86	tamilnadu	tamilnadu	NOUN
cana-2408	2	87	,	,	PUNCT
cana-2408	2	88	india	india	PROPN
cana-2408	2	89	,	,	PUNCT
cana-2408	2	90	email	email	NOUN
cana-2408	2	91	:	:	PUNCT
cana-2408	2	92	sundareswaranr@ssn.edu.in	sundareswaranr@ssn.edu.in	PROPN
cana-2408	2	93	*	*	PROPN
cana-2408	2	94	4	4	NUM
cana-2408	2	95	department	department	NOUN
cana-2408	2	96	of	of	ADP
cana-2408	2	97	mathematics	mathematics	PROPN
cana-2408	2	98	,	,	PUNCT
cana-2408	2	99	st	st	PROPN
cana-2408	2	100	.	.	PROPN
cana-2408	2	101	joseph	joseph	PROPN
cana-2408	2	102	’s	’s	PART
cana-2408	2	103	college	college	PROPN
cana-2408	2	104	of	of	ADP
cana-2408	2	105	engineering	engineering	PROPN
cana-2408	2	106	,	,	PUNCT
cana-2408	2	107	chennai	chennai	PROPN
cana-2408	2	108	,	,	PUNCT
cana-2408	2	109	tamilnadu	tamilnadu	NOUN
cana-2408	2	110	,	,	PUNCT
cana-2408	2	111	india	india	PROPN
cana-2408	2	112	,	,	PUNCT
cana-2408	2	113	email	email	NOUN
cana-2408	2	114	:	:	PUNCT
cana-2408	3	1	gvenkatnarayanan@gmail.com	gvenkatnarayanan@gmail.com	X
cana-2408	3	2	article	article	NOUN
cana-2408	3	3	history	history	NOUN
cana-2408	3	4	:	:	PUNCT
cana-2408	3	5	received	receive	VERB
cana-2408	3	6	:	:	PUNCT
cana-2408	3	7	15	15	NUM
cana-2408	3	8	-	-	SYM
cana-2408	3	9	09	09	NUM
cana-2408	3	10	-	-	PUNCT
cana-2408	3	11	2024	2024	NUM
cana-2408	3	12	revised	revise	VERB
cana-2408	3	13	:	:	PUNCT
cana-2408	3	14	23	23	NUM
cana-2408	3	15	-	-	SYM
cana-2408	3	16	10	10	NUM
cana-2408	3	17	-	-	PUNCT
cana-2408	3	18	2024	2024	NUM
cana-2408	3	19	accepted	accept	VERB
cana-2408	3	20	:	:	PUNCT
cana-2408	3	21	03	03	NUM
cana-2408	3	22	-	-	SYM
cana-2408	3	23	11	11	NUM
cana-2408	3	24	-	-	PUNCT
cana-2408	3	25	2024	2024	NUM
cana-2408	3	26	abstract	abstract	NOUN
cana-2408	3	27	:	:	PUNCT
cana-2408	3	28	introduction	introduction	NOUN
cana-2408	3	29	:	:	PUNCT
cana-2408	3	30	centrality	centrality	NOUN
cana-2408	3	31	concepts	concept	NOUN
cana-2408	3	32	play	play	VERB
cana-2408	3	33	a	a	DET
cana-2408	3	34	crucial	crucial	ADJ
cana-2408	3	35	role	role	NOUN
cana-2408	3	36	in	in	ADP
cana-2408	3	37	determining	determine	VERB
cana-2408	3	38	the	the	DET
cana-2408	3	39	significance	significance	NOUN
cana-2408	3	40	of	of	ADP
cana-2408	3	41	a	a	DET
cana-2408	3	42	vertex	vertex	NOUN
cana-2408	3	43	based	base	VERB
cana-2408	3	44	on	on	ADP
cana-2408	3	45	its	its	PRON
cana-2408	3	46	necessity	necessity	NOUN
cana-2408	3	47	.	.	PUNCT
cana-2408	4	1	a	a	DET
cana-2408	4	2	network	network	NOUN
cana-2408	4	3	always	always	ADV
cana-2408	4	4	prefers	prefer	VERB
cana-2408	4	5	the	the	DET
cana-2408	4	6	shortest	short	ADJ
cana-2408	4	7	path	path	NOUN
cana-2408	4	8	,	,	PUNCT
cana-2408	4	9	also	also	ADV
cana-2408	4	10	known	know	VERB
cana-2408	4	11	as	as	ADP
cana-2408	4	12	the	the	DET
cana-2408	4	13	geodesic	geodesic	ADJ
cana-2408	4	14	path	path	NOUN
cana-2408	4	15	,	,	PUNCT
cana-2408	4	16	for	for	ADP
cana-2408	4	17	information	information	NOUN
cana-2408	4	18	transmission	transmission	NOUN
cana-2408	4	19	between	between	ADP
cana-2408	4	20	nodes	node	NOUN
cana-2408	4	21	.	.	PUNCT
cana-2408	5	1	betweenness	betweenness	ADJ
cana-2408	5	2	centrality	centrality	NOUN
cana-2408	5	3	,	,	PUNCT
cana-2408	5	4	which	which	PRON
cana-2408	5	5	reduces	reduce	VERB
cana-2408	5	6	geodesic	geodesic	ADJ
cana-2408	5	7	distance	distance	NOUN
cana-2408	5	8	,	,	PUNCT
cana-2408	5	9	makes	make	VERB
cana-2408	5	10	it	it	PRON
cana-2408	5	11	easier	easy	ADJ
cana-2408	5	12	to	to	PART
cana-2408	5	13	strategically	strategically	ADV
cana-2408	5	14	position	position	VERB
cana-2408	5	15	phasor	phasor	NOUN
cana-2408	5	16	measurement	measurement	NOUN
cana-2408	5	17	units	unit	NOUN
cana-2408	5	18	(	(	PUNCT
cana-2408	5	19	pmus	pmus	NOUN
cana-2408	5	20	)	)	PUNCT
cana-2408	5	21	in	in	ADP
cana-2408	5	22	a	a	DET
cana-2408	5	23	power	power	NOUN
cana-2408	5	24	network	network	NOUN
cana-2408	5	25	.	.	PUNCT
cana-2408	6	1	we	we	PRON
cana-2408	6	2	present	present	VERB
cana-2408	6	3	a	a	DET
cana-2408	6	4	research	research	NOUN
cana-2408	6	5	paper	paper	NOUN
cana-2408	6	6	that	that	PRON
cana-2408	6	7	describes	describe	VERB
cana-2408	6	8	an	an	DET
cana-2408	6	9	algorithm	algorithm	NOUN
cana-2408	6	10	specifically	specifically	ADV
cana-2408	6	11	designed	design	VERB
cana-2408	6	12	for	for	ADP
cana-2408	6	13	pmu	pmu	ADJ
cana-2408	6	14	placement	placement	NOUN
cana-2408	6	15	in	in	ADP
cana-2408	6	16	power	power	NOUN
cana-2408	6	17	networks	network	NOUN
cana-2408	6	18	.	.	PUNCT
cana-2408	7	1	the	the	DET
cana-2408	7	2	algorithm	algorithm	NOUN
cana-2408	7	3	's	's	PART
cana-2408	7	4	performance	performance	NOUN
cana-2408	7	5	is	be	AUX
cana-2408	7	6	assessed	assess	VERB
cana-2408	7	7	by	by	ADP
cana-2408	7	8	running	run	VERB
cana-2408	7	9	it	it	PRON
cana-2408	7	10	on	on	ADP
cana-2408	7	11	the	the	DET
cana-2408	7	12	widely	widely	ADV
cana-2408	7	13	used	use	VERB
cana-2408	7	14	ieee	ieee	NOUN
cana-2408	7	15	14	14	NUM
cana-2408	7	16	and	and	CCONJ
cana-2408	7	17	ieee	ieee	NOUN
cana-2408	7	18	30	30	NUM
cana-2408	7	19	buses	bus	NOUN
cana-2408	7	20	,	,	PUNCT
cana-2408	7	21	allowing	allow	VERB
cana-2408	7	22	for	for	ADP
cana-2408	7	23	comparison	comparison	NOUN
cana-2408	7	24	with	with	ADP
cana-2408	7	25	results	result	NOUN
cana-2408	7	26	obtained	obtain	VERB
cana-2408	7	27	using	use	VERB
cana-2408	7	28	other	other	ADJ
cana-2408	7	29	methodologies	methodology	NOUN
cana-2408	7	30	.	.	PUNCT
cana-2408	8	1	keywords	keyword	NOUN
cana-2408	8	2	:	:	PUNCT
cana-2408	8	3	power	power	NOUN
cana-2408	8	4	network	network	NOUN
cana-2408	8	5	,	,	PUNCT
cana-2408	8	6	power	power	NOUN
cana-2408	8	7	domination	domination	NOUN
cana-2408	8	8	,	,	PUNCT
cana-2408	8	9	centrality	centrality	NOUN
cana-2408	8	10	,	,	PUNCT
cana-2408	8	11	betweenness	betweenness	NOUN
cana-2408	8	12	,	,	PUNCT
cana-2408	8	13	centrality	centrality	NOUN
cana-2408	8	14	1	1	NUM
cana-2408	8	15	.	.	PUNCT
cana-2408	8	16	introduction	introduction	NOUN
cana-2408	8	17	the	the	DET
cana-2408	8	18	importance	importance	NOUN
cana-2408	8	19	of	of	ADP
cana-2408	8	20	graph	graph	NOUN
cana-2408	8	21	theory	theory	NOUN
cana-2408	8	22	in	in	ADP
cana-2408	8	23	power	power	NOUN
cana-2408	8	24	network	network	NOUN
cana-2408	8	25	optimization	optimization	NOUN
cana-2408	8	26	is	be	AUX
cana-2408	8	27	that	that	SCONJ
cana-2408	8	28	it	it	PRON
cana-2408	8	29	allows	allow	VERB
cana-2408	8	30	the	the	DET
cana-2408	8	31	effective	effective	ADJ
cana-2408	8	32	control	control	NOUN
cana-2408	8	33	of	of	ADP
cana-2408	8	34	the	the	DET
cana-2408	8	35	complicated	complicated	ADJ
cana-2408	8	36	systems	system	NOUN
cana-2408	8	37	that	that	PRON
cana-2408	8	38	result	result	VERB
cana-2408	8	39	in	in	ADP
cana-2408	8	40	transmitting	transmit	VERB
cana-2408	8	41	electric	electric	ADJ
cana-2408	8	42	power	power	NOUN
cana-2408	8	43	from	from	ADP
cana-2408	8	44	producers	producer	NOUN
cana-2408	8	45	to	to	ADP
cana-2408	8	46	consumers	consumer	NOUN
cana-2408	8	47	.	.	PUNCT
cana-2408	9	1	the	the	DET
cana-2408	9	2	networks	network	NOUN
cana-2408	9	3	can	can	AUX
cana-2408	9	4	be	be	AUX
cana-2408	9	5	described	describe	VERB
cana-2408	9	6	as	as	ADP
cana-2408	9	7	graphs	graph	NOUN
cana-2408	9	8	,	,	PUNCT
cana-2408	9	9	with	with	ADP
cana-2408	9	10	nodes	node	NOUN
cana-2408	9	11	representing	represent	VERB
cana-2408	9	12	different	different	ADJ
cana-2408	9	13	entities	entity	NOUN
cana-2408	9	14	such	such	ADJ
cana-2408	9	15	as	as	ADP
cana-2408	9	16	generators	generator	NOUN
cana-2408	9	17	and	and	CCONJ
cana-2408	9	18	substations	substation	NOUN
cana-2408	9	19	and	and	CCONJ
cana-2408	9	20	edges	edge	NOUN
cana-2408	9	21	representing	represent	VERB
cana-2408	9	22	connections	connection	NOUN
cana-2408	9	23	such	such	ADJ
cana-2408	9	24	as	as	ADP
cana-2408	9	25	transmission	transmission	NOUN
cana-2408	9	26	lines	line	NOUN
cana-2408	9	27	.	.	PUNCT
cana-2408	10	1	a	a	DET
cana-2408	10	2	few	few	ADJ
cana-2408	10	3	key	key	ADJ
cana-2408	10	4	areas	area	NOUN
cana-2408	10	5	have	have	AUX
cana-2408	10	6	been	be	AUX
cana-2408	10	7	outlined	outline	VERB
cana-2408	10	8	here	here	ADV
cana-2408	10	9	:	:	PUNCT
cana-2408	10	10	optimal	optimal	ADJ
cana-2408	10	11	power	power	NOUN
cana-2408	10	12	flow	flow	NOUN
cana-2408	10	13	,	,	PUNCT
cana-2408	10	14	fault	fault	VERB
cana-2408	10	15	detection	detection	NOUN
cana-2408	10	16	and	and	CCONJ
cana-2408	10	17	restoration	restoration	NOUN
cana-2408	10	18	,	,	PUNCT
cana-2408	10	19	distribution	distribution	NOUN
cana-2408	10	20	network	network	NOUN
cana-2408	10	21	optimization	optimization	NOUN
cana-2408	10	22	,	,	PUNCT
cana-2408	10	23	and	and	CCONJ
cana-2408	10	24	smart	smart	ADJ
cana-2408	10	25	grid	grid	NOUN
cana-2408	10	26	communication	communication	NOUN
cana-2408	10	27	and	and	CCONJ
cana-2408	10	28	control	control	NOUN
cana-2408	10	29	.	.	PUNCT
cana-2408	11	1	graph	graph	NOUN
cana-2408	11	2	theory	theory	NOUN
cana-2408	11	3	plays	play	VERB
cana-2408	11	4	an	an	DET
cana-2408	11	5	important	important	ADJ
cana-2408	11	6	role	role	NOUN
cana-2408	11	7	in	in	ADP
cana-2408	11	8	helping	help	VERB
cana-2408	11	9	engineers	engineer	NOUN
cana-2408	11	10	deal	deal	VERB
cana-2408	11	11	with	with	ADP
cana-2408	11	12	these	these	DET
cana-2408	11	13	issues	issue	NOUN
cana-2408	11	14	.	.	PUNCT
cana-2408	12	1	in	in	ADP
cana-2408	12	2	electric	electric	ADJ
cana-2408	12	3	power	power	NOUN
cana-2408	12	4	systems	system	NOUN
cana-2408	12	5	,	,	PUNCT
cana-2408	12	6	phasor	phasor	NOUN
cana-2408	12	7	measurement	measurement	NOUN
cana-2408	12	8	units	unit	NOUN
cana-2408	12	9	(	(	PUNCT
cana-2408	12	10	pmus	pmus	PROPN
cana-2408	12	11	)	)	PUNCT
cana-2408	12	12	are	be	AUX
cana-2408	12	13	specialized	specialized	ADJ
cana-2408	12	14	tools	tool	NOUN
cana-2408	12	15	for	for	ADP
cana-2408	12	16	monitoring	monitor	VERB
cana-2408	12	17	and	and	CCONJ
cana-2408	12	18	analysing	analyse	VERB
cana-2408	12	19	the	the	DET
cana-2408	12	20	dynamic	dynamic	ADJ
cana-2408	12	21	behaviours	behaviour	NOUN
cana-2408	12	22	of	of	ADP
cana-2408	12	23	a	a	DET
cana-2408	12	24	system	system	NOUN
cana-2408	12	25	in	in	ADP
cana-2408	12	26	real	real	ADJ
cana-2408	12	27	time	time	NOUN
cana-2408	12	28	.	.	PUNCT
cana-2408	13	1	they	they	PRON
cana-2408	13	2	measure	measure	VERB
cana-2408	13	3	the	the	DET
cana-2408	13	4	voltage	voltage	NOUN
cana-2408	13	5	and	and	CCONJ
cana-2408	13	6	current	current	ADJ
cana-2408	13	7	phasors	phasor	NOUN
cana-2408	13	8	at	at	ADP
cana-2408	13	9	specific	specific	ADJ
cana-2408	13	10	points	point	NOUN
cana-2408	13	11	on	on	ADP
cana-2408	13	12	the	the	DET
cana-2408	13	13	grid	grid	NOUN
cana-2408	13	14	,	,	PUNCT
cana-2408	13	15	providing	provide	VERB
cana-2408	13	16	synchronized	synchronize	VERB
cana-2408	13	17	time	time	NOUN
cana-2408	13	18	-	-	PUNCT
cana-2408	13	19	stamped	stamp	VERB
cana-2408	13	20	information	information	NOUN
cana-2408	13	21	essential	essential	ADJ
cana-2408	13	22	for	for	ADP
cana-2408	13	23	efficient	efficient	ADJ
cana-2408	13	24	operation	operation	NOUN
cana-2408	13	25	,	,	PUNCT
cana-2408	13	26	control	control	NOUN
cana-2408	13	27	and	and	CCONJ
cana-2408	13	28	protection	protection	NOUN
cana-2408	13	29	.	.	PUNCT
cana-2408	14	1	key	key	ADJ
cana-2408	14	2	components	component	NOUN
cana-2408	14	3	and	and	CCONJ
cana-2408	14	4	functions	function	NOUN
cana-2408	14	5	of	of	ADP
cana-2408	14	6	a	a	DET
cana-2408	14	7	phasor	phasor	NOUN
cana-2408	14	8	measurement	measurement	NOUN
cana-2408	14	9	unit	unit	NOUN
cana-2408	14	10	include	include	VERB
cana-2408	14	11	phasor	phasor	PROPN
cana-2408	14	12	measurement	measurement	NOUN
cana-2408	14	13	,	,	PUNCT
cana-2408	14	14	wide	wide	ADJ
cana-2408	14	15	area	area	NOUN
cana-2408	14	16	monitoring	monitoring	NOUN
cana-2408	14	17	,	,	PUNCT
cana-2408	14	18	time	time	NOUN
cana-2408	14	19	stamping	stamping	NOUN
cana-2408	14	20	,	,	PUNCT
cana-2408	14	21	power	power	NOUN
cana-2408	14	22	system	system	NOUN
cana-2408	14	23	stability	stability	NOUN
cana-2408	14	24	,	,	PUNCT
cana-2408	14	25	and	and	CCONJ
cana-2408	14	26	control	control	NOUN
cana-2408	14	27	.	.	PUNCT
cana-2408	15	1	haynes	hayne	NOUN
cana-2408	15	2	et	et	NOUN
cana-2408	15	3	al	al	PROPN
cana-2408	15	4	.	.	PUNCT
cana-2408	16	1	[	[	X
cana-2408	16	2	8	8	NUM
cana-2408	16	3	]	]	PUNCT
cana-2408	16	4	first	first	ADV
cana-2408	16	5	introduced	introduce	VERB
cana-2408	16	6	the	the	DET
cana-2408	16	7	dominance	dominance	NOUN
cana-2408	16	8	problem	problem	NOUN
cana-2408	16	9	in	in	ADP
cana-2408	16	10	electrical	electrical	ADJ
cana-2408	16	11	networks	network	NOUN
cana-2408	16	12	.	.	PUNCT
cana-2408	17	1	kirchhoff	kirchhoff	PROPN
cana-2408	17	2	's	's	PART
cana-2408	17	3	law	law	NOUN
cana-2408	17	4	and	and	CCONJ
cana-2408	17	5	ohm	ohm	NOUN
cana-2408	17	6	's	's	PART
cana-2408	17	7	law	law	NOUN
cana-2408	17	8	are	be	AUX
cana-2408	17	9	both	both	PRON
cana-2408	17	10	used	use	VERB
cana-2408	17	11	to	to	PART
cana-2408	17	12	derive	derive	VERB
cana-2408	17	13	this	this	DET
cana-2408	17	14	algorithm	algorithm	NOUN
cana-2408	17	15	.	.	PUNCT
cana-2408	18	1	within	within	ADP
cana-2408	18	2	a	a	DET
cana-2408	18	3	graph	graph	NOUN
cana-2408	18	4	,	,	PUNCT
cana-2408	18	5	dominance	dominance	NOUN
cana-2408	18	6	refers	refer	VERB
cana-2408	18	7	to	to	ADP
cana-2408	18	8	a	a	DET
cana-2408	18	9	subset	subset	NOUN
cana-2408	18	10	s	s	NOUN
cana-2408	18	11	of	of	ADP
cana-2408	18	12	a	a	DET
cana-2408	18	13	vertex	vertex	NOUN
cana-2408	18	14	set	set	VERB
cana-2408	18	15	v	v	ADP
cana-2408	18	16	such	such	ADJ
cana-2408	18	17	that	that	SCONJ
cana-2408	18	18	every	every	DET
cana-2408	18	19	vertex	vertex	NOUN
cana-2408	18	20	not	not	PART
cana-2408	18	21	in	in	ADP
cana-2408	18	22	s	s	PROPN
cana-2408	18	23	is	be	AUX
cana-2408	18	24	adjacent	adjacent	ADJ
cana-2408	18	25	to	to	ADP
cana-2408	18	26	at	at	ADV
cana-2408	18	27	least	least	ADV
cana-2408	18	28	one	one	NUM
cana-2408	18	29	vertex	vertex	NOUN
cana-2408	18	30	in	in	ADP
cana-2408	18	31	s.	s.	PROPN
cana-2408	18	32	the	the	DET
cana-2408	18	33	same	same	ADJ
cana-2408	18	34	can	can	AUX
cana-2408	18	35	be	be	AUX
cana-2408	18	36	mailto:msaran81@gmail.com	mailto:msaran81@gmail.com	PROPN
cana-2408	18	37	mailto:81@gmail.com	mailto:81@gmail.com	PROPN
cana-2408	18	38	mailto:sujathar@snuchennai.edu.in	mailto:sujathar@snuchennai.edu.in	PROPN
cana-2408	19	1	mailto:sundareswaranr@ssn.edu.in	mailto:sundareswaranr@ssn.edu.in	X
cana-2408	19	2	mailto:aranr@ssn.edu.in	mailto:aranr@ssn.edu.in	X
cana-2408	20	1	mailto:gvenkatnarayanan@gmail.com	mailto:gvenkatnarayanan@gmail.com	PROPN
cana-2408	21	1	mailto:anan@gmail.com	mailto:anan@gmail.com	X
cana-2408	22	1	communications	communication	NOUN
cana-2408	22	2	on	on	ADP
cana-2408	22	3	applied	apply	VERB
cana-2408	22	4	nonlinear	nonlinear	ADJ
cana-2408	22	5	analysis	analysis	NOUN
cana-2408	22	6	issn	issn	NOUN
cana-2408	22	7	:	:	PUNCT
cana-2408	22	8	1074	1074	NUM
cana-2408	22	9	-	-	PUNCT
cana-2408	22	10	133x	133x	NUM
cana-2408	22	11	vol	vol	NOUN
cana-2408	22	12	32	32	NUM
cana-2408	22	13	no	no	NOUN
cana-2408	22	14	.	.	PUNCT
cana-2408	23	1	2s	2s	NUM
cana-2408	23	2	(	(	PUNCT
cana-2408	23	3	2025	2025	NUM
cana-2408	23	4	)	)	PUNCT
cana-2408	23	5	331	331	NUM
cana-2408	23	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-2408	23	7	defined	define	VERB
cana-2408	23	8	for	for	ADP
cana-2408	23	9	power	power	NOUN
cana-2408	23	10	domination	domination	NOUN
cana-2408	23	11	in	in	ADP
cana-2408	23	12	power	power	NOUN
cana-2408	23	13	networks	network	NOUN
cana-2408	23	14	.	.	PUNCT
cana-2408	24	1	a	a	DET
cana-2408	24	2	pmu	pmu	NOUN
cana-2408	24	3	-	-	PUNCT
cana-2408	24	4	observed	observe	VERB
cana-2408	24	5	vertex	vertex	NOUN
cana-2408	24	6	is	be	AUX
cana-2408	24	7	one	one	NUM
cana-2408	24	8	whose	whose	DET
cana-2408	24	9	voltage	voltage	NOUN
cana-2408	24	10	and	and	CCONJ
cana-2408	24	11	phase	phase	NOUN
cana-2408	24	12	angle	angle	NOUN
cana-2408	24	13	have	have	AUX
cana-2408	24	14	been	be	AUX
cana-2408	24	15	measured	measure	VERB
cana-2408	24	16	by	by	ADP
cana-2408	24	17	pmu	pmu	PROPN
cana-2408	24	18	.	.	PUNCT
cana-2408	25	1	the	the	DET
cana-2408	25	2	paper	paper	NOUN
cana-2408	25	3	uses	use	VERB
cana-2408	25	4	concepts	concept	NOUN
cana-2408	25	5	of	of	ADP
cana-2408	25	6	centrality	centrality	NOUN
cana-2408	25	7	to	to	PART
cana-2408	25	8	determine	determine	VERB
cana-2408	25	9	the	the	DET
cana-2408	25	10	best	good	ADJ
cana-2408	25	11	positions	position	NOUN
cana-2408	25	12	for	for	ADP
cana-2408	25	13	placing	place	VERB
cana-2408	25	14	pmus	pmus	NOUN
cana-2408	25	15	on	on	ADP
cana-2408	25	16	graphs	graph	NOUN
cana-2408	25	17	representing	represent	VERB
cana-2408	25	18	power	power	NOUN
cana-2408	25	19	networks	network	NOUN
cana-2408	25	20	.	.	PUNCT
cana-2408	26	1	centrality	centrality	NOUN
cana-2408	26	2	,	,	PUNCT
cana-2408	26	3	as	as	ADP
cana-2408	26	4	a	a	DET
cana-2408	26	5	metric	metric	NOUN
cana-2408	26	6	in	in	ADP
cana-2408	26	7	graph	graph	NOUN
cana-2408	26	8	theory	theory	NOUN
cana-2408	26	9	,	,	PUNCT
cana-2408	26	10	is	be	AUX
cana-2408	26	11	crucial	crucial	ADJ
cana-2408	26	12	in	in	ADP
cana-2408	26	13	measuring	measure	VERB
cana-2408	26	14	the	the	DET
cana-2408	26	15	importance	importance	NOUN
cana-2408	26	16	or	or	CCONJ
cana-2408	26	17	influence	influence	NOUN
cana-2408	26	18	of	of	ADP
cana-2408	26	19	nodes	node	NOUN
cana-2408	26	20	within	within	ADP
cana-2408	26	21	a	a	DET
cana-2408	26	22	graph	graph	NOUN
cana-2408	26	23	.	.	PUNCT
cana-2408	27	1	this	this	DET
cana-2408	27	2	metric	metric	NOUN
cana-2408	27	3	provides	provide	VERB
cana-2408	27	4	invaluable	invaluable	ADJ
cana-2408	27	5	information	information	NOUN
cana-2408	27	6	that	that	PRON
cana-2408	27	7	helps	help	VERB
cana-2408	27	8	us	we	PRON
cana-2408	27	9	understand	understand	VERB
cana-2408	27	10	real	real	ADJ
cana-2408	27	11	world	world	NOUN
cana-2408	27	12	systems	system	NOUN
cana-2408	27	13	such	such	ADJ
cana-2408	27	14	as	as	ADP
cana-2408	27	15	social	social	ADJ
cana-2408	27	16	networks	network	NOUN
cana-2408	27	17	,	,	PUNCT
cana-2408	27	18	biological	biological	ADJ
cana-2408	27	19	networks	network	NOUN
cana-2408	27	20	,	,	PUNCT
cana-2408	27	21	and	and	CCONJ
cana-2408	27	22	transportation	transportation	NOUN
cana-2408	27	23	networks	network	NOUN
cana-2408	27	24	.	.	PUNCT
cana-2408	28	1	centrality	centrality	NOUN
cana-2408	28	2	concepts	concept	NOUN
cana-2408	28	3	used	use	VERB
cana-2408	28	4	in	in	ADP
cana-2408	28	5	the	the	DET
cana-2408	28	6	analysis	analysis	NOUN
cana-2408	28	7	of	of	ADP
cana-2408	28	8	graphs	graph	NOUN
cana-2408	28	9	include	include	VERB
cana-2408	28	10	eigen	eigen	PROPN
cana-2408	28	11	vector	vector	NOUN
cana-2408	28	12	centrality	centrality	NOUN
cana-2408	28	13	,	,	PUNCT
cana-2408	28	14	closeness	closeness	NOUN
cana-2408	28	15	centrality	centrality	NOUN
cana-2408	28	16	,	,	PUNCT
cana-2408	28	17	degree	degree	NOUN
cana-2408	28	18	centrality	centrality	NOUN
cana-2408	28	19	,	,	PUNCT
cana-2408	28	20	betweenness	betweenness	NOUN
cana-2408	28	21	centrality	centrality	NOUN
cana-2408	28	22	,	,	PUNCT
cana-2408	28	23	and	and	CCONJ
cana-2408	28	24	katz	katz	PROPN
cana-2408	28	25	centrality	centrality	PROPN
cana-2408	28	26	.	.	PUNCT
cana-2408	29	1	networks	network	NOUN
cana-2408	29	2	often	often	ADV
cana-2408	29	3	employ	employ	VERB
cana-2408	29	4	the	the	DET
cana-2408	29	5	shortest	short	ADJ
cana-2408	29	6	path	path	NOUN
cana-2408	29	7	for	for	ADP
cana-2408	29	8	information	information	NOUN
cana-2408	29	9	transmission	transmission	NOUN
cana-2408	29	10	through	through	ADP
cana-2408	29	11	nodes	node	NOUN
cana-2408	29	12	,	,	PUNCT
cana-2408	29	13	with	with	ADP
cana-2408	29	14	high	high	ADJ
cana-2408	29	15	centrality	centrality	NOUN
cana-2408	29	16	regulating	regulate	VERB
cana-2408	29	17	data	datum	NOUN
cana-2408	29	18	communication	communication	NOUN
cana-2408	29	19	among	among	ADP
cana-2408	29	20	other	other	ADJ
cana-2408	29	21	nodes	node	NOUN
cana-2408	29	22	.	.	PUNCT
cana-2408	30	1	the	the	DET
cana-2408	30	2	inefficiency	inefficiency	NOUN
cana-2408	30	3	of	of	ADP
cana-2408	30	4	degree	degree	NOUN
cana-2408	30	5	centrality	centrality	NOUN
cana-2408	30	6	that	that	PRON
cana-2408	30	7	uses	use	VERB
cana-2408	30	8	the	the	DET
cana-2408	30	9	node	node	NOUN
cana-2408	30	10	’s	’s	PART
cana-2408	30	11	degrees	degree	NOUN
cana-2408	30	12	as	as	ADP
cana-2408	30	13	a	a	DET
cana-2408	30	14	basis	basis	NOUN
cana-2408	30	15	for	for	ADP
cana-2408	30	16	placing	place	VERB
cana-2408	30	17	pmus	pmus	NOUN
cana-2408	30	18	on	on	ADP
cana-2408	30	19	the	the	DET
cana-2408	30	20	power	power	NOUN
cana-2408	30	21	network	network	NOUN
cana-2408	30	22	graphs	graph	NOUN
cana-2408	30	23	was	be	AUX
cana-2408	30	24	shown	show	VERB
cana-2408	30	25	by	by	ADP
cana-2408	30	26	baldwin	baldwin	PROPN
cana-2408	30	27	et	et	PROPN
cana-2408	30	28	al	al	PROPN
cana-2408	30	29	.	.	PUNCT
cana-2408	31	1	[	[	X
cana-2408	31	2	3	3	NUM
cana-2408	31	3	]	]	PUNCT
cana-2408	31	4	.	.	PUNCT
cana-2408	32	1	they	they	PRON
cana-2408	32	2	recommended	recommend	VERB
cana-2408	32	3	using	use	VERB
cana-2408	32	4	concepts	concept	NOUN
cana-2408	32	5	related	relate	VERB
cana-2408	32	6	to	to	ADP
cana-2408	32	7	spanning	span	VERB
cana-2408	32	8	trees	tree	NOUN
cana-2408	32	9	as	as	ADP
cana-2408	32	10	an	an	DET
cana-2408	32	11	alternative	alternative	ADJ
cana-2408	32	12	method	method	NOUN
cana-2408	32	13	instead	instead	ADV
cana-2408	32	14	.	.	PUNCT
cana-2408	33	1	in	in	ADP
cana-2408	33	2	contrast	contrast	NOUN
cana-2408	33	3	to	to	ADP
cana-2408	33	4	that	that	DET
cana-2408	33	5	notion	notion	NOUN
cana-2408	33	6	of	of	ADP
cana-2408	33	7	betweenness	betweenness	ADJ
cana-2408	33	8	centrality	centrality	NOUN
cana-2408	33	9	is	be	AUX
cana-2408	33	10	computed	compute	VERB
cana-2408	33	11	based	base	VERB
cana-2408	33	12	on	on	ADP
cana-2408	33	13	geodesic	geodesic	ADJ
cana-2408	33	14	paths	path	NOUN
cana-2408	33	15	and	and	CCONJ
cana-2408	33	16	identifies	identify	VERB
cana-2408	33	17	such	such	ADJ
cana-2408	33	18	nodes	node	NOUN
cana-2408	33	19	that	that	PRON
cana-2408	33	20	serve	serve	VERB
cana-2408	33	21	as	as	ADP
cana-2408	33	22	bridges	bridge	NOUN
cana-2408	33	23	or	or	CCONJ
cana-2408	33	24	intermediaries	intermediary	NOUN
cana-2408	33	25	between	between	ADP
cana-2408	33	26	different	different	ADJ
cana-2408	33	27	parts	part	NOUN
cana-2408	33	28	of	of	ADP
cana-2408	33	29	a	a	DET
cana-2408	33	30	graph	graph	NOUN
cana-2408	33	31	.	.	PUNCT
cana-2408	34	1	highly	highly	ADV
cana-2408	34	2	centralized	centralized	ADJ
cana-2408	34	3	betweenness	betweenness	NOUN
cana-2408	34	4	facilitates	facilitate	VERB
cana-2408	34	5	interactions	interaction	NOUN
cana-2408	34	6	and	and	CCONJ
cana-2408	34	7	communication	communication	NOUN
cana-2408	34	8	across	across	ADP
cana-2408	34	9	diverse	diverse	ADJ
cana-2408	34	10	groups	group	NOUN
cana-2408	34	11	or	or	CCONJ
cana-2408	34	12	clusters	cluster	NOUN
cana-2408	34	13	.	.	PUNCT
cana-2408	35	1	the	the	DET
cana-2408	35	2	position	position	NOUN
cana-2408	35	3	of	of	ADP
cana-2408	35	4	a	a	DET
cana-2408	35	5	pmu	pmu	NOUN
cana-2408	35	6	at	at	ADP
cana-2408	35	7	a	a	DET
cana-2408	35	8	power	power	NOUN
cana-2408	35	9	node	node	NOUN
cana-2408	35	10	makes	make	VERB
cana-2408	35	11	it	it	PRON
cana-2408	35	12	interact	interact	VERB
cana-2408	35	13	with	with	ADP
cana-2408	35	14	all	all	DET
cana-2408	35	15	other	other	ADJ
cana-2408	35	16	vertices	vertex	NOUN
cana-2408	35	17	in	in	ADP
cana-2408	35	18	the	the	DET
cana-2408	35	19	surrounding	surround	VERB
cana-2408	35	20	area	area	NOUN
cana-2408	35	21	.	.	PUNCT
cana-2408	36	1	the	the	DET
cana-2408	36	2	optimal	optimal	ADJ
cana-2408	36	3	placement	placement	NOUN
cana-2408	36	4	of	of	ADP
cana-2408	36	5	pmus	pmus	NOUN
cana-2408	36	6	within	within	ADP
cana-2408	36	7	the	the	DET
cana-2408	36	8	power	power	NOUN
cana-2408	36	9	network	network	NOUN
cana-2408	36	10	can	can	AUX
cana-2408	36	11	be	be	AUX
cana-2408	36	12	effectively	effectively	ADV
cana-2408	36	13	determined	determine	VERB
cana-2408	36	14	through	through	ADP
cana-2408	36	15	minimizing	minimize	VERB
cana-2408	36	16	the	the	DET
cana-2408	36	17	geodesic	geodesic	ADJ
cana-2408	36	18	distance	distance	NOUN
cana-2408	36	19	,	,	PUNCT
cana-2408	36	20	which	which	PRON
cana-2408	36	21	is	be	AUX
cana-2408	36	22	based	base	VERB
cana-2408	36	23	on	on	ADP
cana-2408	36	24	the	the	DET
cana-2408	36	25	betweenness	betweenness	NOUN
cana-2408	36	26	centrality	centrality	NOUN
cana-2408	36	27	concept	concept	NOUN
cana-2408	36	28	.	.	PUNCT
cana-2408	37	1	vertices	vertex	NOUN
cana-2408	37	2	are	be	AUX
cana-2408	37	3	said	say	VERB
cana-2408	37	4	to	to	PART
cana-2408	37	5	be	be	AUX
cana-2408	37	6	neighbours	neighbour	NOUN
cana-2408	37	7	when	when	SCONJ
cana-2408	37	8	their	their	PRON
cana-2408	37	9	geodesic	geodesic	ADJ
cana-2408	37	10	distance	distance	NOUN
cana-2408	37	11	is	be	AUX
cana-2408	37	12	one	one	NUM
cana-2408	37	13	.	.	PUNCT
cana-2408	38	1	gago	gago	PROPN
cana-2408	38	2	et.al	et.al	PROPN
cana-2408	39	1	[	[	X
cana-2408	39	2	7	7	X
cana-2408	39	3	]	]	PUNCT
cana-2408	39	4	provides	provide	VERB
cana-2408	39	5	a	a	DET
cana-2408	39	6	mathematical	mathematical	ADJ
cana-2408	39	7	basis	basis	NOUN
cana-2408	39	8	,	,	PUNCT
cana-2408	39	9	interconnections	interconnection	NOUN
cana-2408	39	10	and	and	CCONJ
cana-2408	39	11	restrictions	restriction	NOUN
cana-2408	39	12	of	of	ADP
cana-2408	39	13	betweenness	betweenness	ADJ
cana-2408	39	14	centrality	centrality	NOUN
cana-2408	39	15	in	in	ADP
cana-2408	39	16	their	their	PRON
cana-2408	39	17	paper	paper	NOUN
cana-2408	39	18	.	.	PUNCT
cana-2408	40	1	it	it	PRON
cana-2408	40	2	is	be	AUX
cana-2408	40	3	possible	possible	ADJ
cana-2408	40	4	to	to	PART
cana-2408	40	5	optimize	optimize	VERB
cana-2408	40	6	many	many	ADJ
cana-2408	40	7	scenarios	scenario	NOUN
cana-2408	40	8	using	use	VERB
cana-2408	40	9	this	this	DET
cana-2408	40	10	method	method	NOUN
cana-2408	40	11	,	,	PUNCT
cana-2408	40	12	such	such	ADJ
cana-2408	40	13	as	as	ADP
cana-2408	40	14	dynamic	dynamic	ADJ
cana-2408	40	15	water	water	NOUN
cana-2408	40	16	distribution	distribution	NOUN
cana-2408	40	17	networks	network	NOUN
cana-2408	40	18	[	[	X
cana-2408	40	19	12	12	NUM
cana-2408	40	20	]	]	PUNCT
cana-2408	40	21	,	,	PUNCT
cana-2408	40	22	vast	vast	ADJ
cana-2408	40	23	sparse	sparse	ADJ
cana-2408	40	24	networks	network	NOUN
cana-2408	40	25	[	[	X
cana-2408	40	26	13	13	NUM
cana-2408	40	27	]	]	PUNCT
cana-2408	40	28	,	,	PUNCT
cana-2408	40	29	extensive	extensive	ADJ
cana-2408	40	30	social	social	ADJ
cana-2408	40	31	networks	network	NOUN
cana-2408	40	32	[	[	X
cana-2408	40	33	9	9	NUM
cana-2408	40	34	]	]	PUNCT
cana-2408	40	35	,	,	PUNCT
cana-2408	40	36	and	and	CCONJ
cana-2408	40	37	identification	identification	NOUN
cana-2408	40	38	of	of	ADP
cana-2408	40	39	protein	protein	NOUN
cana-2408	40	40	complexes	complex	NOUN
cana-2408	40	41	[	[	X
cana-2408	40	42	1	1	NUM
cana-2408	40	43	]	]	PUNCT
cana-2408	40	44	.	.	PUNCT
cana-2408	41	1	in	in	ADP
cana-2408	41	2	2019	2019	NUM
cana-2408	41	3	,	,	PUNCT
cana-2408	41	4	the	the	DET
cana-2408	41	5	discourse	discourse	NOUN
cana-2408	41	6	on	on	ADP
cana-2408	41	7	cost	cost	NOUN
cana-2408	41	8	optimization	optimization	NOUN
cana-2408	41	9	focused	focus	VERB
cana-2408	41	10	on	on	ADP
cana-2408	41	11	the	the	DET
cana-2408	41	12	use	use	NOUN
cana-2408	41	13	of	of	ADP
cana-2408	41	14	dominance	dominance	NOUN
cana-2408	41	15	centrality	centrality	NOUN
cana-2408	41	16	over	over	ADP
cana-2408	41	17	betweenness	betweenness	NOUN
cana-2408	41	18	centrality	centrality	NOUN
cana-2408	41	19	for	for	ADP
cana-2408	41	20	pmu	pmu	ADJ
cana-2408	41	21	placement	placement	NOUN
cana-2408	41	22	[	[	X
cana-2408	41	23	5	5	NUM
cana-2408	41	24	]	]	PUNCT
cana-2408	41	25	.	.	PUNCT
cana-2408	42	1	in	in	ADP
cana-2408	42	2	this	this	DET
cana-2408	42	3	paper	paper	NOUN
cana-2408	42	4	,	,	PUNCT
cana-2408	42	5	a	a	DET
cana-2408	42	6	methodology	methodology	NOUN
cana-2408	42	7	is	be	AUX
cana-2408	42	8	introduced	introduce	VERB
cana-2408	42	9	that	that	PRON
cana-2408	42	10	represents	represent	VERB
cana-2408	42	11	an	an	DET
cana-2408	42	12	electric	electric	ADJ
cana-2408	42	13	network	network	NOUN
cana-2408	42	14	as	as	ADP
cana-2408	42	15	a	a	DET
cana-2408	42	16	power	power	NOUN
cana-2408	42	17	network	network	NOUN
cana-2408	42	18	graph	graph	NOUN
cana-2408	42	19	.	.	PUNCT
cana-2408	43	1	to	to	PART
cana-2408	43	2	tackle	tackle	VERB
cana-2408	43	3	the	the	DET
cana-2408	43	4	challenges	challenge	NOUN
cana-2408	43	5	of	of	ADP
cana-2408	43	6	pmu	pmu	ADJ
cana-2408	43	7	placement	placement	NOUN
cana-2408	43	8	in	in	ADP
cana-2408	43	9	the	the	DET
cana-2408	43	10	power	power	NOUN
cana-2408	43	11	network	network	NOUN
cana-2408	43	12	,	,	PUNCT
cana-2408	43	13	the	the	DET
cana-2408	43	14	paper	paper	NOUN
cana-2408	43	15	utilizes	utilize	VERB
cana-2408	43	16	betweenness	betweenness	ADJ
cana-2408	43	17	centrality	centrality	NOUN
cana-2408	43	18	.	.	PUNCT
cana-2408	44	1	the	the	DET
cana-2408	44	2	study	study	NOUN
cana-2408	44	3	is	be	AUX
cana-2408	44	4	summarized	summarize	VERB
cana-2408	44	5	in	in	ADP
cana-2408	44	6	section	section	NOUN
cana-2408	44	7	1	1	NUM
cana-2408	44	8	,	,	PUNCT
cana-2408	44	9	while	while	SCONJ
cana-2408	44	10	section	section	NOUN
cana-2408	44	11	2	2	NUM
cana-2408	44	12	provides	provide	VERB
cana-2408	44	13	an	an	DET
cana-2408	44	14	explanation	explanation	NOUN
cana-2408	44	15	of	of	ADP
cana-2408	44	16	graph	graph	NOUN
cana-2408	44	17	theory	theory	NOUN
cana-2408	44	18	and	and	CCONJ
cana-2408	44	19	the	the	DET
cana-2408	44	20	technical	technical	ADJ
cana-2408	44	21	terms	term	NOUN
cana-2408	44	22	used	use	VERB
cana-2408	44	23	in	in	ADP
cana-2408	44	24	the	the	DET
cana-2408	44	25	paper	paper	NOUN
cana-2408	44	26	.	.	PUNCT
cana-2408	45	1	section	section	NOUN
cana-2408	45	2	3	3	NUM
cana-2408	45	3	presents	present	VERB
cana-2408	45	4	an	an	DET
cana-2408	45	5	algorithm	algorithm	NOUN
cana-2408	45	6	for	for	ADP
cana-2408	45	7	pmu	pmu	ADJ
cana-2408	45	8	placement	placement	NOUN
cana-2408	45	9	within	within	ADP
cana-2408	45	10	a	a	DET
cana-2408	45	11	power	power	NOUN
cana-2408	45	12	network	network	NOUN
cana-2408	45	13	.	.	PUNCT
cana-2408	46	1	the	the	DET
cana-2408	46	2	algorithm	algorithm	NOUN
cana-2408	46	3	’s	’s	PART
cana-2408	46	4	performance	performance	NOUN
cana-2408	46	5	is	be	AUX
cana-2408	46	6	evaluated	evaluate	VERB
cana-2408	46	7	on	on	ADP
cana-2408	46	8	standard	standard	ADJ
cana-2408	46	9	ieee	ieee	NOUN
cana-2408	46	10	6	6	NUM
cana-2408	46	11	,	,	PUNCT
cana-2408	46	12	ieee	ieee	NOUN
cana-2408	46	13	14	14	NUM
cana-2408	46	14	,	,	PUNCT
cana-2408	46	15	and	and	CCONJ
cana-2408	46	16	ieee	ieee	NOUN
cana-2408	46	17	30	30	NUM
cana-2408	46	18	buses	bus	NOUN
cana-2408	46	19	in	in	ADP
cana-2408	46	20	section	section	NOUN
cana-2408	46	21	4	4	NUM
cana-2408	46	22	.	.	PUNCT
cana-2408	46	23	section	section	NOUN
cana-2408	46	24	5	5	NUM
cana-2408	46	25	compares	compare	VERB
cana-2408	46	26	the	the	DET
cana-2408	46	27	outcomes	outcome	NOUN
cana-2408	46	28	of	of	ADP
cana-2408	46	29	the	the	DET
cana-2408	46	30	proposed	propose	VERB
cana-2408	46	31	method	method	NOUN
cana-2408	46	32	with	with	ADP
cana-2408	46	33	those	those	PRON
cana-2408	46	34	of	of	ADP
cana-2408	46	35	other	other	ADJ
cana-2408	46	36	techniques	technique	NOUN
cana-2408	46	37	.	.	PUNCT
cana-2408	47	1	finally	finally	ADV
cana-2408	47	2	,	,	PUNCT
cana-2408	47	3	section	section	NOUN
cana-2408	47	4	6	6	NUM
cana-2408	47	5	concludes	conclude	VERB
cana-2408	47	6	the	the	DET
cana-2408	47	7	study	study	NOUN
cana-2408	47	8	and	and	CCONJ
cana-2408	47	9	discusses	discuss	VERB
cana-2408	47	10	its	its	PRON
cana-2408	47	11	broader	broad	ADJ
cana-2408	47	12	implications	implication	NOUN
cana-2408	47	13	.	.	PUNCT
cana-2408	48	1	2	2	X
cana-2408	48	2	.	.	X
cana-2408	48	3	graph	graph	NOUN
cana-2408	48	4	theory	theory	NOUN
cana-2408	48	5	basic	basic	ADJ
cana-2408	48	6	definitions	definition	NOUN
cana-2408	48	7	in	in	ADP
cana-2408	48	8	a	a	DET
cana-2408	48	9	graph	graph	NOUN
cana-2408	48	10	g=(v	g=(v	NOUN
cana-2408	48	11	,	,	PUNCT
cana-2408	48	12	e	e	NOUN
cana-2408	48	13	)	)	PUNCT
cana-2408	48	14	,	,	PUNCT
cana-2408	48	15	v	v	NOUN
cana-2408	48	16	is	be	AUX
cana-2408	48	17	a	a	DET
cana-2408	48	18	non	non	ADJ
cana-2408	48	19	-	-	ADJ
cana-2408	48	20	empty	empty	ADJ
cana-2408	48	21	set	set	NOUN
cana-2408	48	22	of	of	ADP
cana-2408	48	23	vertices	vertex	NOUN
cana-2408	48	24	and	and	CCONJ
cana-2408	48	25	e	e	NOUN
cana-2408	48	26	is	be	AUX
cana-2408	48	27	a	a	DET
cana-2408	48	28	set	set	NOUN
cana-2408	48	29	of	of	ADP
cana-2408	48	30	edges	edge	NOUN
cana-2408	48	31	contained	contain	VERB
cana-2408	48	32	in	in	ADP
cana-2408	48	33	v	v	NOUN
cana-2408	48	34	x	x	PUNCT
cana-2408	48	35	v.	v.	ADP
cana-2408	48	36	the	the	DET
cana-2408	48	37	path	path	NOUN
cana-2408	48	38	consists	consist	VERB
cana-2408	48	39	of	of	ADP
cana-2408	48	40	n	n	DET
cana-2408	48	41	vertices	vertex	NOUN
cana-2408	48	42	.	.	PUNCT
cana-2408	49	1	a	a	DET
cana-2408	49	2	cycle	cycle	NOUN
cana-2408	49	3	is	be	AUX
cana-2408	49	4	defined	define	VERB
cana-2408	49	5	as	as	ADP
cana-2408	49	6	having	have	VERB
cana-2408	49	7	the	the	DET
cana-2408	49	8	same	same	ADJ
cana-2408	49	9	starting	starting	NOUN
cana-2408	49	10	and	and	CCONJ
cana-2408	49	11	ending	ending	NOUN
cana-2408	49	12	vertices	vertex	NOUN
cana-2408	49	13	.	.	PUNCT
cana-2408	50	1	the	the	DET
cana-2408	50	2	graph	graph	NOUN
cana-2408	50	3	’s	’s	PART
cana-2408	50	4	order	order	NOUN
cana-2408	50	5	corresponds	correspond	VERB
cana-2408	50	6	to	to	ADP
cana-2408	50	7	the	the	DET
cana-2408	50	8	number	number	NOUN
cana-2408	50	9	of	of	ADP
cana-2408	50	10	vertices	vertex	NOUN
cana-2408	50	11	,	,	PUNCT
cana-2408	50	12	whereas	whereas	SCONJ
cana-2408	50	13	its	its	PRON
cana-2408	50	14	size	size	NOUN
cana-2408	50	15	represents	represent	VERB
cana-2408	50	16	the	the	DET
cana-2408	50	17	number	number	NOUN
cana-2408	50	18	of	of	ADP
cana-2408	50	19	edges	edge	NOUN
cana-2408	50	20	.	.	PUNCT
cana-2408	51	1	a	a	DET
cana-2408	51	2	graph	graph	NOUN
cana-2408	51	3	is	be	AUX
cana-2408	51	4	said	say	VERB
cana-2408	51	5	to	to	PART
cana-2408	51	6	be	be	AUX
cana-2408	51	7	connected	connect	VERB
cana-2408	51	8	when	when	SCONJ
cana-2408	51	9	every	every	DET
cana-2408	51	10	pair	pair	NOUN
cana-2408	51	11	of	of	ADP
cana-2408	51	12	vertices	vertex	NOUN
cana-2408	51	13	in	in	ADP
cana-2408	51	14	it	it	PRON
cana-2408	51	15	has	have	VERB
cana-2408	51	16	a	a	DET
cana-2408	51	17	path	path	NOUN
cana-2408	51	18	connecting	connect	VERB
cana-2408	51	19	them	they	PRON
cana-2408	51	20	.	.	PUNCT
cana-2408	52	1	if	if	SCONJ
cana-2408	52	2	there	there	PRON
cana-2408	52	3	is	be	VERB
cana-2408	52	4	no	no	DET
cana-2408	52	5	such	such	ADJ
cana-2408	52	6	path	path	NOUN
cana-2408	52	7	,	,	PUNCT
cana-2408	52	8	the	the	DET
cana-2408	52	9	graph	graph	NOUN
cana-2408	52	10	is	be	AUX
cana-2408	52	11	considered	consider	VERB
cana-2408	52	12	disconnected	disconnected	ADJ
cana-2408	52	13	.	.	PUNCT
cana-2408	53	1	the	the	DET
cana-2408	53	2	minimum	minimum	ADJ
cana-2408	53	3	length	length	NOUN
cana-2408	53	4	of	of	ADP
cana-2408	53	5	a	a	DET
cana-2408	53	6	path	path	NOUN
cana-2408	53	7	between	between	ADP
cana-2408	53	8	two	two	NUM
cana-2408	53	9	vertices	vertex	NOUN
cana-2408	53	10	is	be	AUX
cana-2408	53	11	referred	refer	VERB
cana-2408	53	12	to	to	ADP
cana-2408	53	13	as	as	ADP
cana-2408	53	14	the	the	DET
cana-2408	53	15	distance	distance	NOUN
cana-2408	53	16	.	.	PUNCT
cana-2408	54	1	the	the	DET
cana-2408	54	2	geodesic	geodesic	ADJ
cana-2408	54	3	path	path	NOUN
cana-2408	54	4	denotes	denote	VERB
cana-2408	54	5	the	the	DET
cana-2408	54	6	shortest	short	ADJ
cana-2408	54	7	path	path	NOUN
cana-2408	54	8	between	between	ADP
cana-2408	54	9	any	any	DET
cana-2408	54	10	two	two	NUM
cana-2408	54	11	nodes	node	NOUN
cana-2408	54	12	,	,	PUNCT
cana-2408	54	13	and	and	CCONJ
cana-2408	54	14	its	its	PRON
cana-2408	54	15	length	length	NOUN
cana-2408	54	16	is	be	AUX
cana-2408	54	17	termed	term	VERB
cana-2408	54	18	the	the	DET
cana-2408	54	19	geodesic	geodesic	ADJ
cana-2408	54	20	number	number	NOUN
cana-2408	54	21	.	.	PUNCT
cana-2408	55	1	all	all	DET
cana-2408	55	2	the	the	DET
cana-2408	55	3	terms	term	NOUN
cana-2408	55	4	mentioned	mention	VERB
cana-2408	55	5	are	be	AUX
cana-2408	55	6	defined	define	VERB
cana-2408	55	7	according	accord	VERB
cana-2408	55	8	to	to	ADP
cana-2408	55	9	[	[	X
cana-2408	55	10	4	4	NUM
cana-2408	55	11	]	]	PUNCT
cana-2408	55	12	.	.	PUNCT
cana-2408	56	1	communications	communication	NOUN
cana-2408	56	2	on	on	ADP
cana-2408	56	3	applied	apply	VERB
cana-2408	56	4	nonlinear	nonlinear	ADJ
cana-2408	56	5	analysis	analysis	NOUN
cana-2408	56	6	issn	issn	NOUN
cana-2408	56	7	:	:	PUNCT
cana-2408	56	8	1074	1074	NUM
cana-2408	56	9	-	-	PUNCT
cana-2408	56	10	133x	133x	NUM
cana-2408	56	11	vol	vol	NOUN
cana-2408	56	12	32	32	NUM
cana-2408	56	13	no	no	NOUN
cana-2408	56	14	.	.	PUNCT
cana-2408	57	1	2s	2s	NUM
cana-2408	57	2	(	(	PUNCT
cana-2408	57	3	2025	2025	NUM
cana-2408	57	4	)	)	PUNCT
cana-2408	57	5	332	332	NUM
cana-2408	57	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2408	57	7	2.1	2.1	NUM
cana-2408	57	8	.	.	PUNCT
cana-2408	57	9	power	power	NOUN
cana-2408	57	10	domination	domination	NOUN
cana-2408	57	11	integrity	integrity	NOUN
cana-2408	57	12	the	the	DET
cana-2408	57	13	graph	graph	NOUN
cana-2408	57	14	that	that	PRON
cana-2408	57	15	corresponds	correspond	VERB
cana-2408	57	16	to	to	ADP
cana-2408	57	17	a	a	DET
cana-2408	57	18	power	power	NOUN
cana-2408	57	19	network	network	NOUN
cana-2408	57	20	is	be	AUX
cana-2408	57	21	defined	define	VERB
cana-2408	57	22	as	as	ADP
cana-2408	57	23	a	a	DET
cana-2408	57	24	power	power	NOUN
cana-2408	57	25	network	network	NOUN
cana-2408	57	26	.	.	PUNCT
cana-2408	58	1	the	the	DET
cana-2408	58	2	power	power	NOUN
cana-2408	58	3	domination	domination	NOUN
cana-2408	58	4	of	of	ADP
cana-2408	58	5	a	a	DET
cana-2408	58	6	power	power	NOUN
cana-2408	58	7	network	network	NOUN
cana-2408	58	8	is	be	AUX
cana-2408	58	9	defined	define	VERB
cana-2408	58	10	as	as	ADP
cana-2408	58	11	a	a	DET
cana-2408	58	12	subset	subset	NOUN
cana-2408	58	13	s	s	NOUN
cana-2408	58	14	of	of	ADP
cana-2408	58	15	the	the	DET
cana-2408	58	16	vertex	vertex	NOUN
cana-2408	58	17	set	set	VERB
cana-2408	58	18	v	v	ADP
cana-2408	58	19	such	such	ADJ
cana-2408	58	20	that	that	SCONJ
cana-2408	58	21	every	every	DET
cana-2408	58	22	vertex	vertex	NOUN
cana-2408	58	23	and	and	CCONJ
cana-2408	58	24	every	every	DET
cana-2408	58	25	edge	edge	NOUN
cana-2408	58	26	in	in	ADP
cana-2408	58	27	that	that	DET
cana-2408	58	28	power	power	NOUN
cana-2408	58	29	network	network	NOUN
cana-2408	58	30	is	be	AUX
cana-2408	58	31	observed	observe	VERB
cana-2408	58	32	by	by	ADP
cana-2408	58	33	s.	s.	PROPN
cana-2408	58	34	the	the	DET
cana-2408	58	35	minimum	minimum	ADJ
cana-2408	58	36	cardinality	cardinality	NOUN
cana-2408	58	37	of	of	ADP
cana-2408	58	38	a	a	DET
cana-2408	58	39	power	power	NOUN
cana-2408	58	40	dominating	dominating	NOUN
cana-2408	58	41	set	set	NOUN
cana-2408	58	42	is	be	AUX
cana-2408	58	43	known	know	VERB
cana-2408	58	44	as	as	ADP
cana-2408	58	45	the	the	DET
cana-2408	58	46	power	power	NOUN
cana-2408	58	47	dominance	dominance	NOUN
cana-2408	58	48	number	number	NOUN
cana-2408	58	49	γp	γp	PROPN
cana-2408	58	50	.	.	PUNCT
cana-2408	59	1	in	in	ADP
cana-2408	59	2	[	[	X
cana-2408	59	3	8	8	NUM
cana-2408	59	4	]	]	PUNCT
cana-2408	59	5	,	,	PUNCT
cana-2408	59	6	the	the	DET
cana-2408	59	7	rules	rule	NOUN
cana-2408	59	8	to	to	PART
cana-2408	59	9	find	find	VERB
cana-2408	59	10	the	the	DET
cana-2408	59	11	observed	observe	VERB
cana-2408	59	12	vertices	vertex	NOUN
cana-2408	59	13	are	be	AUX
cana-2408	59	14	provided	provide	VERB
cana-2408	59	15	as	as	SCONJ
cana-2408	59	16	follows	follow	VERB
cana-2408	59	17	:	:	PUNCT
cana-2408	60	1	1	1	X
cana-2408	60	2	.	.	X
cana-2408	61	1	any	any	DET
cana-2408	61	2	vertex	vertex	NOUN
cana-2408	61	3	that	that	PRON
cana-2408	61	4	is	be	AUX
cana-2408	61	5	incident	incident	NOUN
cana-2408	61	6	to	to	ADP
cana-2408	61	7	an	an	DET
cana-2408	61	8	observed	observed	ADJ
cana-2408	61	9	edge	edge	NOUN
cana-2408	61	10	is	be	AUX
cana-2408	61	11	observed	observe	VERB
cana-2408	61	12	.	.	PUNCT
cana-2408	62	1	2	2	X
cana-2408	62	2	.	.	X
cana-2408	62	3	any	any	DET
cana-2408	62	4	edge	edge	NOUN
cana-2408	62	5	joining	join	VERB
cana-2408	62	6	two	two	NUM
cana-2408	62	7	observed	observed	ADJ
cana-2408	62	8	vertices	vertex	NOUN
cana-2408	62	9	is	be	AUX
cana-2408	62	10	observed	observe	VERB
cana-2408	62	11	.	.	PUNCT
cana-2408	63	1	3	3	X
cana-2408	63	2	.	.	X
cana-2408	63	3	if	if	SCONJ
cana-2408	63	4	a	a	DET
cana-2408	63	5	vertex	vertex	NOUN
cana-2408	63	6	is	be	AUX
cana-2408	63	7	incident	incident	NOUN
cana-2408	63	8	to	to	ADP
cana-2408	63	9	a	a	DET
cana-2408	63	10	total	total	NOUN
cana-2408	63	11	of	of	ADP
cana-2408	63	12	k	k	PROPN
cana-2408	63	13	>	>	SYM
cana-2408	63	14	1	1	NUM
cana-2408	63	15	edges	edge	NOUN
cana-2408	63	16	and	and	CCONJ
cana-2408	63	17	if	if	SCONJ
cana-2408	63	18	k	k	PROPN
cana-2408	63	19	–	–	PUNCT
cana-2408	63	20	1	1	NUM
cana-2408	63	21	of	of	ADP
cana-2408	63	22	these	these	DET
cana-2408	63	23	edges	edge	NOUN
cana-2408	63	24	are	be	AUX
cana-2408	63	25	observed	observe	VERB
cana-2408	63	26	,	,	PUNCT
cana-2408	63	27	then	then	ADV
cana-2408	63	28	all	all	DET
cana-2408	63	29	k	k	NOUN
cana-2408	63	30	of	of	ADP
cana-2408	63	31	these	these	DET
cana-2408	63	32	edges	edge	NOUN
cana-2408	63	33	is	be	AUX
cana-2408	63	34	observed	observe	VERB
cana-2408	63	35	.	.	PUNCT
cana-2408	64	1	2.2	2.2	NUM
cana-2408	64	2	centralities	centrality	NOUN
cana-2408	64	3	in	in	ADP
cana-2408	64	4	social	social	ADJ
cana-2408	64	5	networks	network	NOUN
cana-2408	64	6	,	,	PUNCT
cana-2408	64	7	the	the	DET
cana-2408	64	8	centrality	centrality	NOUN
cana-2408	64	9	concepts	concept	NOUN
cana-2408	64	10	are	be	AUX
cana-2408	64	11	employed	employ	VERB
cana-2408	64	12	to	to	PART
cana-2408	64	13	assess	assess	VERB
cana-2408	64	14	the	the	DET
cana-2408	64	15	importance	importance	NOUN
cana-2408	64	16	of	of	ADP
cana-2408	64	17	a	a	DET
cana-2408	64	18	vertex	vertex	NOUN
cana-2408	64	19	.	.	PUNCT
cana-2408	65	1	the	the	DET
cana-2408	65	2	degree	degree	NOUN
cana-2408	65	3	centrality	centrality	NOUN
cana-2408	65	4	,	,	PUNCT
cana-2408	65	5	introduced	introduce	VERB
cana-2408	65	6	by	by	ADP
cana-2408	65	7	freeman	freeman	PROPN
cana-2408	65	8	[	[	X
cana-2408	65	9	6	6	NUM
cana-2408	65	10	]	]	PUNCT
cana-2408	65	11	,	,	PUNCT
cana-2408	65	12	relies	rely	VERB
cana-2408	65	13	on	on	ADP
cana-2408	65	14	the	the	DET
cana-2408	65	15	degree	degree	NOUN
cana-2408	65	16	of	of	ADP
cana-2408	65	17	a	a	DET
cana-2408	65	18	vertex	vertex	NOUN
cana-2408	65	19	in	in	ADP
cana-2408	65	20	a	a	DET
cana-2408	65	21	graph	graph	NOUN
cana-2408	65	22	.	.	PUNCT
cana-2408	65	23	closeness	closeness	NOUN
cana-2408	65	24	centrality	centrality	NOUN
cana-2408	65	25	[	[	X
cana-2408	65	26	6	6	NUM
cana-2408	65	27	]	]	PUNCT
cana-2408	65	28	of	of	ADP
cana-2408	65	29	a	a	DET
cana-2408	65	30	vertex	vertex	NOUN
cana-2408	65	31	u	u	NOUN
cana-2408	65	32	is	be	AUX
cana-2408	65	33	determined	determine	VERB
cana-2408	65	34	by	by	ADP
cana-2408	65	35	the	the	DET
cana-2408	65	36	reciprocal	reciprocal	NOUN
cana-2408	65	37	of	of	ADP
cana-2408	65	38	the	the	DET
cana-2408	65	39	sum	sum	NOUN
cana-2408	65	40	of	of	ADP
cana-2408	65	41	the	the	DET
cana-2408	65	42	shortest	short	ADJ
cana-2408	65	43	paths	path	NOUN
cana-2408	65	44	from	from	ADP
cana-2408	65	45	x	x	PUNCT
cana-2408	65	46	to	to	ADP
cana-2408	65	47	all	all	DET
cana-2408	65	48	other	other	ADJ
cana-2408	65	49	vertices	vertex	NOUN
cana-2408	65	50	.	.	PUNCT
cana-2408	66	1	furthermore	furthermore	ADV
cana-2408	66	2	,	,	PUNCT
cana-2408	66	3	freeman	freeman	PROPN
cana-2408	66	4	[	[	X
cana-2408	66	5	6	6	NUM
cana-2408	66	6	]	]	PUNCT
cana-2408	66	7	defined	define	VERB
cana-2408	66	8	betweenness	betweenness	NOUN
cana-2408	66	9	centrality	centrality	NOUN
cana-2408	66	10	as	as	ADP
cana-2408	66	11	the	the	DET
cana-2408	66	12	amount	amount	NOUN
cana-2408	66	13	of	of	ADP
cana-2408	66	14	information	information	NOUN
cana-2408	66	15	that	that	PRON
cana-2408	66	16	passes	pass	VERB
cana-2408	66	17	through	through	ADP
cana-2408	66	18	a	a	DET
cana-2408	66	19	vertex	vertex	NOUN
cana-2408	66	20	..	..	PUNCT
cana-2408	67	1	∑	∑	ADP
cana-2408	67	2	   	   	SPACE
cana-2408	67	3	𝑙≠𝑚≠𝑛	𝑙≠𝑚≠𝑛	PROPN
cana-2408	67	4	𝐺𝑙𝑛𝑚	𝐺𝑙𝑛𝑚	PROPN
cana-2408	67	5	𝐺𝑙𝑚	𝐺𝑙𝑚	PROPN
cana-2408	67	6	where	where	SCONJ
cana-2408	67	7	𝐺𝑙𝑛𝑚	𝐺𝑙𝑛𝑚	PROPN
cana-2408	67	8	denotes	denote	VERB
cana-2408	67	9	the	the	DET
cana-2408	67	10	number	number	NOUN
cana-2408	67	11	of	of	ADP
cana-2408	67	12	geodesic	geodesic	ADJ
cana-2408	67	13	paths	path	NOUN
cana-2408	67	14	from	from	ADP
cana-2408	67	15	vertex	vertex	NOUN
cana-2408	67	16	𝑖	𝑖	ADP
cana-2408	67	17	to	to	PART
cana-2408	67	18	vertex	vertex	VERB
cana-2408	67	19	𝑚	𝑚	NOUN
cana-2408	67	20	via	via	ADP
cana-2408	67	21	vertex	vertex	NOUN
cana-2408	67	22	𝑛	𝑛	PRON
cana-2408	67	23	and	and	CCONJ
cana-2408	67	24	𝐺𝑙𝑗	𝐺𝑙𝑗	PROPN
cana-2408	67	25	denotes	denote	NOUN
cana-2408	67	26	the	the	DET
cana-2408	67	27	number	number	NOUN
cana-2408	67	28	of	of	ADP
cana-2408	67	29	geodesic	geodesic	ADJ
cana-2408	67	30	paths	path	NOUN
cana-2408	67	31	from	from	ADP
cana-2408	67	32	the	the	DET
cana-2408	67	33	vertex	vertex	NOUN
cana-2408	67	34	𝑙	𝑙	X
cana-2408	67	35	to	to	ADP
cana-2408	67	36	vertex	vertex	VERB
cana-2408	67	37	𝑚.	𝑚.	NOUN
cana-2408	67	38	3	3	NUM
cana-2408	67	39	.	.	PUNCT
cana-2408	67	40	betweeness	betweeness	NOUN
cana-2408	67	41	centrality	centrality	NOUN
cana-2408	67	42	in	in	ADP
cana-2408	67	43	pmu	pmu	NOUN
cana-2408	67	44	placing	place	VERB
cana-2408	67	45	an	an	DET
cana-2408	67	46	observed	observed	ADJ
cana-2408	67	47	vertex	vertex	NOUN
cana-2408	67	48	is	be	AUX
cana-2408	67	49	a	a	DET
cana-2408	67	50	node	node	NOUN
cana-2408	67	51	that	that	PRON
cana-2408	67	52	can	can	AUX
cana-2408	67	53	be	be	AUX
cana-2408	67	54	measured	measure	VERB
cana-2408	67	55	by	by	ADP
cana-2408	67	56	a	a	DET
cana-2408	67	57	pmu	pmu	NOUN
cana-2408	67	58	.	.	PUNCT
cana-2408	68	1	an	an	DET
cana-2408	68	2	observed	observed	ADJ
cana-2408	68	3	network	network	NOUN
cana-2408	68	4	is	be	AUX
cana-2408	68	5	one	one	NUM
cana-2408	68	6	where	where	SCONJ
cana-2408	68	7	all	all	DET
cana-2408	68	8	nodes	node	NOUN
cana-2408	68	9	are	be	AUX
cana-2408	68	10	observed	observe	VERB
cana-2408	68	11	.	.	PUNCT
cana-2408	69	1	a	a	DET
cana-2408	69	2	power	power	NOUN
cana-2408	69	3	dominating	dominating	NOUN
cana-2408	69	4	set	set	NOUN
cana-2408	69	5	p	p	NOUN
cana-2408	69	6	is	be	AUX
cana-2408	69	7	a	a	DET
cana-2408	69	8	collection	collection	NOUN
cana-2408	69	9	of	of	ADP
cana-2408	69	10	pmu	pmu	PROPN
cana-2408	69	11	placed	place	VERB
cana-2408	69	12	nodes	node	NOUN
cana-2408	69	13	where	where	SCONJ
cana-2408	69	14	each	each	DET
cana-2408	69	15	node	node	NOUN
cana-2408	69	16	is	be	AUX
cana-2408	69	17	either	either	CCONJ
cana-2408	69	18	in	in	ADP
cana-2408	69	19	p	p	PRON
cana-2408	69	20	or	or	CCONJ
cana-2408	69	21	observes	observe	VERB
cana-2408	69	22	at	at	ADV
cana-2408	69	23	least	least	ADV
cana-2408	69	24	one	one	NUM
cana-2408	69	25	vertex	vertex	NOUN
cana-2408	69	26	in	in	ADP
cana-2408	69	27	p.	p.	NOUN
cana-2408	69	28	the	the	DET
cana-2408	69	29	power	power	NOUN
cana-2408	69	30	domination	domination	NOUN
cana-2408	69	31	number	number	NOUN
cana-2408	69	32	of	of	ADP
cana-2408	69	33	a	a	DET
cana-2408	69	34	power	power	NOUN
cana-2408	69	35	graph	graph	NOUN
cana-2408	69	36	is	be	AUX
cana-2408	69	37	the	the	DET
cana-2408	69	38	minimum	minimum	ADJ
cana-2408	69	39	number	number	NOUN
cana-2408	69	40	of	of	ADP
cana-2408	69	41	power	power	NOUN
cana-2408	69	42	dominating	dominating	NOUN
cana-2408	69	43	sets	set	NOUN
cana-2408	69	44	required	require	VERB
cana-2408	69	45	.	.	PUNCT
cana-2408	70	1	to	to	PART
cana-2408	70	2	place	place	VERB
cana-2408	70	3	a	a	DET
cana-2408	70	4	pmu	pmu	NOUN
cana-2408	70	5	in	in	ADP
cana-2408	70	6	a	a	DET
cana-2408	70	7	power	power	NOUN
cana-2408	70	8	network	network	NOUN
cana-2408	70	9	the	the	DET
cana-2408	70	10	following	follow	VERB
cana-2408	70	11	algorithm	algorithm	NOUN
cana-2408	70	12	is	be	AUX
cana-2408	70	13	used	use	VERB
cana-2408	70	14	:	:	PUNCT
cana-2408	70	15	1	1	X
cana-2408	70	16	.	.	X
cana-2408	70	17	find	find	VERB
cana-2408	70	18	the	the	DET
cana-2408	70	19	betweenness	betweenness	ADJ
cana-2408	70	20	centrality	centrality	NOUN
cana-2408	70	21	of	of	ADP
cana-2408	70	22	each	each	DET
cana-2408	70	23	nodes	node	NOUN
cana-2408	70	24	and	and	CCONJ
cana-2408	70	25	arrange	arrange	VERB
cana-2408	70	26	it	it	PRON
cana-2408	70	27	in	in	ADP
cana-2408	70	28	descending	descend	VERB
cana-2408	70	29	order	order	NOUN
cana-2408	70	30	by	by	ADP
cana-2408	70	31	centrality	centrality	NOUN
cana-2408	70	32	.	.	PUNCT
cana-2408	71	1	2	2	X
cana-2408	71	2	.	.	X
cana-2408	71	3	place	place	VERB
cana-2408	71	4	the	the	DET
cana-2408	71	5	pmu	pmu	NOUN
cana-2408	71	6	in	in	ADP
cana-2408	71	7	the	the	DET
cana-2408	71	8	node	node	NOUN
cana-2408	71	9	which	which	PRON
cana-2408	71	10	has	have	VERB
cana-2408	71	11	highest	high	ADJ
cana-2408	71	12	centrality	centrality	NOUN
cana-2408	71	13	.	.	PUNCT
cana-2408	72	1	3	3	X
cana-2408	72	2	.	.	X
cana-2408	72	3	apply	apply	VERB
cana-2408	72	4	rule	rule	NOUN
cana-2408	72	5	1	1	NUM
cana-2408	72	6	,	,	PUNCT
cana-2408	72	7	2	2	NUM
cana-2408	72	8	and	and	CCONJ
cana-2408	72	9	3	3	NUM
cana-2408	72	10	and	and	CCONJ
cana-2408	72	11	check	check	VERB
cana-2408	72	12	all	all	DET
cana-2408	72	13	the	the	DET
cana-2408	72	14	vertices	vertex	NOUN
cana-2408	72	15	are	be	AUX
cana-2408	72	16	observed	observe	VERB
cana-2408	72	17	.	.	PUNCT
cana-2408	73	1	4	4	X
cana-2408	73	2	.	.	X
cana-2408	73	3	if	if	SCONJ
cana-2408	73	4	all	all	DET
cana-2408	73	5	the	the	DET
cana-2408	73	6	vertices	vertex	NOUN
cana-2408	73	7	are	be	AUX
cana-2408	73	8	observed	observe	VERB
cana-2408	73	9	,	,	PUNCT
cana-2408	73	10	then	then	ADV
cana-2408	73	11	the	the	DET
cana-2408	73	12	set	set	NOUN
cana-2408	73	13	of	of	ADP
cana-2408	73	14	pmus	pmus	NOUN
cana-2408	73	15	placed	place	VERB
cana-2408	73	16	nodes	node	NOUN
cana-2408	73	17	are	be	AUX
cana-2408	73	18	required	require	VERB
cana-2408	73	19	power	power	NOUN
cana-2408	73	20	dominating	dominating	NOUN
cana-2408	73	21	set	set	NOUN
cana-2408	73	22	.	.	PUNCT
cana-2408	74	1	otherwise	otherwise	ADV
cana-2408	74	2	,	,	PUNCT
cana-2408	74	3	repeat	repeat	VERB
cana-2408	74	4	step	step	NOUN
cana-2408	74	5	2	2	NUM
cana-2408	74	6	.	.	NOUN
cana-2408	74	7	4	4	NUM
cana-2408	74	8	.	.	X
cana-2408	74	9	implementation	implementation	NOUN
cana-2408	74	10	of	of	ADP
cana-2408	74	11	proposed	propose	VERB
cana-2408	74	12	method	method	NOUN
cana-2408	74	13	in	in	ADP
cana-2408	74	14	ieee	ieee	NOUN
cana-2408	74	15	buses	bus	NOUN
cana-2408	74	16	in	in	ADP
cana-2408	74	17	this	this	DET
cana-2408	74	18	section	section	NOUN
cana-2408	74	19	,	,	PUNCT
cana-2408	74	20	we	we	PRON
cana-2408	74	21	implement	implement	VERB
cana-2408	74	22	the	the	DET
cana-2408	74	23	above	above	ADJ
cana-2408	74	24	algorithms	algorithm	NOUN
cana-2408	74	25	in	in	ADP
cana-2408	74	26	ieee	ieee	NOUN
cana-2408	74	27	buses	bus	NOUN
cana-2408	74	28	.	.	PUNCT
cana-2408	75	1	communications	communication	NOUN
cana-2408	75	2	on	on	ADP
cana-2408	75	3	applied	apply	VERB
cana-2408	75	4	nonlinear	nonlinear	ADJ
cana-2408	75	5	analysis	analysis	NOUN
cana-2408	75	6	issn	issn	NOUN
cana-2408	75	7	:	:	PUNCT
cana-2408	75	8	1074	1074	NUM
cana-2408	75	9	-	-	PUNCT
cana-2408	75	10	133x	133x	NUM
cana-2408	75	11	vol	vol	NOUN
cana-2408	75	12	32	32	NUM
cana-2408	75	13	no	no	NOUN
cana-2408	75	14	.	.	PUNCT
cana-2408	76	1	2s	2s	NUM
cana-2408	76	2	(	(	PUNCT
cana-2408	76	3	2025	2025	NUM
cana-2408	76	4	)	)	PUNCT
cana-2408	76	5	333	333	NUM
cana-2408	76	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2408	76	7	4.1	4.1	NUM
cana-2408	76	8	.	.	PUNCT
cana-2408	77	1	ieee	ieee	NOUN
cana-2408	77	2	6	6	NUM
cana-2408	77	3	bus	bus	NOUN
cana-2408	77	4	the	the	DET
cana-2408	77	5	line	line	NOUN
cana-2408	77	6	diagram	diagram	NOUN
cana-2408	77	7	of	of	ADP
cana-2408	77	8	ieee	ieee	NOUN
cana-2408	77	9	bus	bus	NOUN
cana-2408	77	10	6	6	NUM
cana-2408	77	11	is	be	AUX
cana-2408	77	12	given	give	VERB
cana-2408	77	13	in	in	ADP
cana-2408	77	14	fig	fig	NOUN
cana-2408	77	15	.	.	PUNCT
cana-2408	78	1	1	1	NUM
cana-2408	79	1	and	and	CCONJ
cana-2408	79	2	the	the	DET
cana-2408	79	3	power	power	NOUN
cana-2408	79	4	network	network	NOUN
cana-2408	79	5	diagram	diagram	NOUN
cana-2408	79	6	of	of	ADP
cana-2408	79	7	ieee	ieee	NOUN
cana-2408	79	8	6	6	NUM
cana-2408	79	9	bus	bus	NOUN
cana-2408	79	10	is	be	AUX
cana-2408	79	11	given	give	VERB
cana-2408	79	12	in	in	ADP
cana-2408	79	13	the	the	DET
cana-2408	79	14	fig	fig	NOUN
cana-2408	79	15	2	2	NUM
cana-2408	79	16	.	.	PUNCT
cana-2408	79	17	figure	figure	NOUN
cana-2408	79	18	1	1	NUM
cana-2408	79	19	:	:	PUNCT
cana-2408	79	20	line	line	NOUN
cana-2408	79	21	diagram	diagram	NOUN
cana-2408	79	22	of	of	ADP
cana-2408	79	23	ieee	ieee	NOUN
cana-2408	79	24	6	6	NUM
cana-2408	79	25	bus	bus	NOUN
cana-2408	79	26	system	system	NOUN
cana-2408	79	27	figure	figure	NOUN
cana-2408	79	28	2	2	NUM
cana-2408	79	29	:	:	PUNCT
cana-2408	79	30	ieee	ieee	NOUN
cana-2408	79	31	6	6	NUM
cana-2408	79	32	bus	bus	NOUN
cana-2408	79	33	power	power	NOUN
cana-2408	79	34	network	network	NOUN
cana-2408	79	35	graph	graph	VERB
cana-2408	79	36	the	the	DET
cana-2408	79	37	table	table	NOUN
cana-2408	79	38	1	1	NUM
cana-2408	79	39	shows	show	VERB
cana-2408	79	40	the	the	DET
cana-2408	79	41	betweenness	betweenness	ADJ
cana-2408	79	42	centrality	centrality	NOUN
cana-2408	79	43	(	(	PUNCT
cana-2408	79	44	bc	bc	PROPN
cana-2408	79	45	)	)	PUNCT
cana-2408	79	46	and	and	CCONJ
cana-2408	79	47	degree	degree	NOUN
cana-2408	79	48	of	of	ADP
cana-2408	79	49	all	all	DET
cana-2408	79	50	vertices	vertex	NOUN
cana-2408	79	51	in	in	ADP
cana-2408	79	52	the	the	DET
cana-2408	79	53	ieee	ieee	NOUN
cana-2408	79	54	6	6	NUM
cana-2408	79	55	power	power	NOUN
cana-2408	79	56	network	network	NOUN
cana-2408	79	57	graph	graph	NOUN
cana-2408	79	58	.	.	PUNCT
cana-2408	80	1	the	the	DET
cana-2408	80	2	vertices	vertex	NOUN
cana-2408	80	3	v4	v4	PROPN
cana-2408	80	4	and	and	CCONJ
cana-2408	80	5	v6	v6	NOUN
cana-2408	80	6	exhibit	exhibit	VERB
cana-2408	80	7	the	the	DET
cana-2408	80	8	highest	high	ADJ
cana-2408	80	9	betweenness	betweenness	ADJ
cana-2408	80	10	centrality	centrality	NOUN
cana-2408	80	11	among	among	ADP
cana-2408	80	12	the	the	DET
cana-2408	80	13	given	give	VERB
cana-2408	80	14	vertices	vertex	NOUN
cana-2408	80	15	.	.	PUNCT
cana-2408	81	1	therefore	therefore	ADV
cana-2408	81	2	,	,	PUNCT
cana-2408	81	3	it	it	PRON
cana-2408	81	4	is	be	AUX
cana-2408	81	5	recommended	recommend	VERB
cana-2408	81	6	to	to	PART
cana-2408	81	7	position	position	VERB
cana-2408	81	8	the	the	DET
cana-2408	81	9	first	first	ADJ
cana-2408	81	10	pmu	pmu	NOUN
cana-2408	81	11	at	at	ADP
cana-2408	81	12	either	either	CCONJ
cana-2408	81	13	node	node	PROPN
cana-2408	81	14	v4	v4	PROPN
cana-2408	81	15	or	or	CCONJ
cana-2408	81	16	v6	v6	NOUN
cana-2408	81	17	.	.	PUNCT
cana-2408	82	1	since	since	SCONJ
cana-2408	82	2	all	all	DET
cana-2408	82	3	the	the	DET
cana-2408	82	4	vertices	vertex	NOUN
cana-2408	82	5	are	be	AUX
cana-2408	82	6	already	already	ADV
cana-2408	82	7	observed	observe	VERB
cana-2408	82	8	,	,	PUNCT
cana-2408	82	9	placing	place	VERB
cana-2408	82	10	one	one	NUM
cana-2408	82	11	pmu	pmu	NOUN
cana-2408	82	12	at	at	ADP
cana-2408	82	13	either	either	CCONJ
cana-2408	82	14	v4	v4	PROPN
cana-2408	82	15	or	or	CCONJ
cana-2408	82	16	v6	v6	NOUN
cana-2408	82	17	would	would	AUX
cana-2408	82	18	suffice	suffice	VERB
cana-2408	82	19	.	.	PUNCT
cana-2408	83	1	table	table	NOUN
cana-2408	83	2	1	1	NUM
cana-2408	83	3	:	:	PUNCT
cana-2408	83	4	calculation	calculation	NOUN
cana-2408	83	5	of	of	ADP
cana-2408	83	6	edge	edge	NOUN
cana-2408	83	7	integrity	integrity	NOUN
cana-2408	83	8	of	of	ADP
cana-2408	83	9	a	a	DET
cana-2408	83	10	fuzzy	fuzzy	ADJ
cana-2408	83	11	graph	graph	NOUN
cana-2408	83	12	vertex	vertex	NOUN
cana-2408	83	13	betweenesscentrality	betweenesscentrality	NOUN
cana-2408	83	14	placement	placement	NOUN
cana-2408	83	15	v1	v1	NOUN
cana-2408	83	16	0	0	NUM
cana-2408	83	17	v2	v2	PROPN
cana-2408	83	18	1	1	NUM
cana-2408	83	19	v3	v3	PROPN
cana-2408	83	20	1.5	1.5	NUM
cana-2408	83	21	v4	v4	NOUN
cana-2408	83	22	2.5	2.5	NUM
cana-2408	83	23	1	1	NUM
cana-2408	83	24	v5	v5	PROPN
cana-2408	83	25	1.5	1.5	NUM
cana-2408	83	26	v6	v6	NOUN
cana-2408	83	27	2.5	2.5	NUM
cana-2408	83	28	4.2	4.2	NUM
cana-2408	83	29	ieee	ieee	NOUN
cana-2408	83	30	14	14	NUM
cana-2408	83	31	bus	bus	NOUN
cana-2408	83	32	given	give	VERB
cana-2408	83	33	in	in	ADP
cana-2408	83	34	fig.3	fig.3	PROPN
cana-2408	83	35	is	be	AUX
cana-2408	83	36	the	the	DET
cana-2408	83	37	line	line	NOUN
cana-2408	83	38	diagram	diagram	NOUN
cana-2408	83	39	for	for	ADP
cana-2408	83	40	the	the	DET
cana-2408	83	41	ieee	ieee	NOUN
cana-2408	83	42	14	14	NUM
cana-2408	83	43	bus	bus	NOUN
cana-2408	83	44	system	system	NOUN
cana-2408	83	45	and	and	CCONJ
cana-2408	83	46	the	the	DET
cana-2408	83	47	power	power	NOUN
cana-2408	83	48	network	network	NOUN
cana-2408	83	49	graph	graph	NOUN
cana-2408	83	50	of	of	ADP
cana-2408	83	51	ieee	ieee	NOUN
cana-2408	83	52	14	14	NUM
cana-2408	83	53	bus	bus	NOUN
cana-2408	83	54	is	be	AUX
cana-2408	83	55	given	give	VERB
cana-2408	83	56	in	in	ADP
cana-2408	83	57	fig.4	fig.4	PROPN
cana-2408	83	58	.	.	PUNCT
cana-2408	84	1	communications	communication	NOUN
cana-2408	84	2	on	on	ADP
cana-2408	84	3	applied	apply	VERB
cana-2408	84	4	nonlinear	nonlinear	ADJ
cana-2408	84	5	analysis	analysis	NOUN
cana-2408	84	6	issn	issn	NOUN
cana-2408	84	7	:	:	PUNCT
cana-2408	84	8	1074	1074	NUM
cana-2408	84	9	-	-	PUNCT
cana-2408	84	10	133x	133x	NUM
cana-2408	84	11	vol	vol	NOUN
cana-2408	84	12	32	32	NUM
cana-2408	84	13	no	no	NOUN
cana-2408	84	14	.	.	PUNCT
cana-2408	85	1	2s	2s	NUM
cana-2408	85	2	(	(	PUNCT
cana-2408	85	3	2025	2025	NUM
cana-2408	85	4	)	)	PUNCT
cana-2408	85	5	334	334	NUM
cana-2408	85	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2408	85	7	.	.	PUNCT
cana-2408	86	1	figure	figure	VERB
cana-2408	86	2	3	3	NUM
cana-2408	86	3	:	:	PUNCT
cana-2408	86	4	line	line	NOUN
cana-2408	86	5	diagram	diagram	NOUN
cana-2408	86	6	of	of	ADP
cana-2408	86	7	ieee	ieee	NOUN
cana-2408	86	8	14	14	NUM
cana-2408	86	9	bus	bus	NOUN
cana-2408	86	10	figure	figure	NOUN
cana-2408	86	11	4	4	NUM
cana-2408	86	12	:	:	PUNCT
cana-2408	86	13	ieee	ieee	NOUN
cana-2408	86	14	14	14	NUM
cana-2408	86	15	bus	bus	NOUN
cana-2408	86	16	power	power	NOUN
cana-2408	86	17	network	network	NOUN
cana-2408	86	18	graph	graph	NOUN
cana-2408	86	19	table	table	NOUN
cana-2408	86	20	2	2	NUM
cana-2408	86	21	:	:	PUNCT
cana-2408	86	22	ieee	ieee	NOUN
cana-2408	86	23	14	14	NUM
cana-2408	86	24	bus	bus	NOUN
cana-2408	86	25	bc	bc	PROPN
cana-2408	86	26	values	value	NOUN
cana-2408	86	27	vertex	vertex	NOUN
cana-2408	86	28	betweeness	betweeness	NOUN
cana-2408	86	29	centrality	centrality	NOUN
cana-2408	86	30	placement	placement	NOUN
cana-2408	86	31	vertex	vertex	NOUN
cana-2408	86	32	betweeness	betweeness	NOUN
cana-2408	86	33	centrality	centrality	NOUN
cana-2408	86	34	placement	placement	NOUN
cana-2408	86	35	v1	v1	NOUN
cana-2408	86	36	0	0	NUM
cana-2408	86	37	v8	v8	NOUN
cana-2408	86	38	0	0	NUM
cana-2408	87	1	v2	v2	PROPN
cana-2408	87	2	5.833	5.833	NUM
cana-2408	87	3	v9	v9	NOUN
cana-2408	87	4	21	21	NUM
cana-2408	87	5	2	2	NUM
cana-2408	87	6	v3	v3	PROPN
cana-2408	87	7	0	0	NUM
cana-2408	87	8	v10	v10	PROPN
cana-2408	87	9	4.667	4.667	NUM
cana-2408	87	10	v4	v4	NOUN
cana-2408	87	11	24.5	24.5	NUM
cana-2408	87	12	v11	v11	NOUN
cana-2408	87	13	3.667	3.667	NUM
cana-2408	87	14	v5	v5	NOUN
cana-2408	87	15	21	21	NUM
cana-2408	87	16	1	1	NUM
cana-2408	87	17	v12	v12	VERB
cana-2408	87	18	0	0	NUM
cana-2408	87	19	v6	v6	NOUN
cana-2408	87	20	20	20	NUM
cana-2408	87	21	3	3	NUM
cana-2408	87	22	v13	v13	NOUN
cana-2408	87	23	5.667	5.667	NUM
cana-2408	87	24	v7	v7	NOUN
cana-2408	87	25	12	12	NUM
cana-2408	87	26	v14	v14	NOUN
cana-2408	87	27	6.667	6.667	NUM
cana-2408	87	28	according	accord	VERB
cana-2408	87	29	to	to	ADP
cana-2408	87	30	the	the	DET
cana-2408	87	31	data	datum	NOUN
cana-2408	87	32	provided	provide	VERB
cana-2408	87	33	in	in	ADP
cana-2408	87	34	table	table	NOUN
cana-2408	87	35	2	2	NUM
cana-2408	87	36	,	,	PUNCT
cana-2408	87	37	vertex	vertex	NOUN
cana-2408	87	38	v4	v4	NOUN
cana-2408	87	39	has	have	VERB
cana-2408	87	40	the	the	DET
cana-2408	87	41	highest	high	ADJ
cana-2408	87	42	betweenness	betweenness	ADJ
cana-2408	87	43	centrality	centrality	NOUN
cana-2408	87	44	.	.	PUNCT
cana-2408	88	1	therefore	therefore	ADV
cana-2408	88	2	,	,	PUNCT
cana-2408	88	3	the	the	DET
cana-2408	88	4	first	first	ADJ
cana-2408	88	5	pmu	pmu	NOUN
cana-2408	88	6	should	should	AUX
cana-2408	88	7	be	be	AUX
cana-2408	88	8	placed	place	VERB
cana-2408	88	9	in	in	ADP
cana-2408	88	10	vertex	vertex	NOUN
cana-2408	88	11	v4	v4	NOUN
cana-2408	88	12	.	.	PUNCT
cana-2408	89	1	this	this	DET
cana-2408	89	2	pmu	pmu	NOUN
cana-2408	89	3	will	will	AUX
cana-2408	89	4	observe	observe	VERB
cana-2408	89	5	the	the	DET
cana-2408	89	6	vertices	vertex	NOUN
cana-2408	89	7	v2	v2	PROPN
cana-2408	89	8	,	,	PUNCT
cana-2408	89	9	v3	v3	PROPN
cana-2408	89	10	,	,	PUNCT
cana-2408	89	11	v5	v5	NOUN
cana-2408	89	12	,	,	PUNCT
cana-2408	89	13	v7	v7	NOUN
cana-2408	89	14	and	and	CCONJ
cana-2408	89	15	v9	v9	NOUN
cana-2408	89	16	,	,	PUNCT
cana-2408	89	17	as	as	SCONJ
cana-2408	89	18	all	all	PRON
cana-2408	89	19	of	of	ADP
cana-2408	89	20	these	these	DET
cana-2408	89	21	vertices	vertex	NOUN
cana-2408	89	22	are	be	AUX
cana-2408	89	23	connected	connect	VERB
cana-2408	89	24	to	to	ADP
cana-2408	89	25	vertex	vertex	NOUN
cana-2408	89	26	v4	v4	NOUN
cana-2408	89	27	.	.	PUNCT
cana-2408	90	1	however	however	ADV
cana-2408	90	2	,	,	PUNCT
cana-2408	90	3	since	since	SCONJ
cana-2408	90	4	there	there	PRON
cana-2408	90	5	are	be	VERB
cana-2408	90	6	still	still	ADV
cana-2408	90	7	some	some	DET
cana-2408	90	8	vertices	vertex	NOUN
cana-2408	90	9	that	that	PRON
cana-2408	90	10	are	be	AUX
cana-2408	90	11	not	not	PART
cana-2408	90	12	observed	observe	VERB
cana-2408	90	13	,	,	PUNCT
cana-2408	90	14	the	the	DET
cana-2408	90	15	next	next	ADJ
cana-2408	90	16	pmus	pmus	NOUN
cana-2408	90	17	should	should	AUX
cana-2408	90	18	be	be	AUX
cana-2408	90	19	placed	place	VERB
cana-2408	90	20	in	in	ADP
cana-2408	90	21	the	the	DET
cana-2408	90	22	vertices	vertex	NOUN
cana-2408	90	23	with	with	ADP
cana-2408	90	24	the	the	DET
cana-2408	90	25	next	next	ADJ
cana-2408	90	26	highest	high	ADJ
cana-2408	90	27	betweeness	betweeness	NOUN
cana-2408	90	28	centrality	centrality	NOUN
cana-2408	90	29	values	value	NOUN
cana-2408	90	30	.	.	PUNCT
cana-2408	91	1	hence	hence	ADV
cana-2408	91	2	,	,	PUNCT
cana-2408	91	3	the	the	DET
cana-2408	91	4	next	next	ADJ
cana-2408	91	5	pmus	pmus	NOUN
cana-2408	91	6	should	should	AUX
cana-2408	91	7	be	be	AUX
cana-2408	91	8	placed	place	VERB
cana-2408	91	9	in	in	ADP
cana-2408	91	10	vertices	vertex	NOUN
cana-2408	91	11	v5	v5	NOUN
cana-2408	91	12	communications	communication	NOUN
cana-2408	91	13	on	on	ADP
cana-2408	91	14	applied	apply	VERB
cana-2408	91	15	nonlinear	nonlinear	ADJ
cana-2408	91	16	analysis	analysis	NOUN
cana-2408	91	17	issn	issn	NOUN
cana-2408	91	18	:	:	PUNCT
cana-2408	91	19	1074	1074	NUM
cana-2408	91	20	-	-	PUNCT
cana-2408	91	21	133x	133x	NUM
cana-2408	91	22	vol	vol	NOUN
cana-2408	91	23	32	32	NUM
cana-2408	91	24	no	no	NOUN
cana-2408	91	25	.	.	PUNCT
cana-2408	92	1	2s	2s	NUM
cana-2408	92	2	(	(	PUNCT
cana-2408	92	3	2025	2025	NUM
cana-2408	92	4	)	)	PUNCT
cana-2408	92	5	335	335	NUM
cana-2408	92	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2408	92	7	and	and	CCONJ
cana-2408	92	8	v9	v9	PROPN
cana-2408	92	9	.	.	PUNCT
cana-2408	93	1	however	however	ADV
cana-2408	93	2	,	,	PUNCT
cana-2408	93	3	it	it	PRON
cana-2408	93	4	is	be	AUX
cana-2408	93	5	important	important	ADJ
cana-2408	93	6	to	to	PART
cana-2408	93	7	note	note	VERB
cana-2408	93	8	that	that	SCONJ
cana-2408	93	9	these	these	DET
cana-2408	93	10	two	two	NUM
cana-2408	93	11	vertices	vertex	NOUN
cana-2408	93	12	are	be	AUX
cana-2408	93	13	already	already	ADV
cana-2408	93	14	observed	observe	VERB
cana-2408	93	15	by	by	ADP
cana-2408	93	16	vertex	vertex	NOUN
cana-2408	93	17	v4	v4	NOUN
cana-2408	93	18	and	and	CCONJ
cana-2408	93	19	the	the	DET
cana-2408	93	20	distance	distance	NOUN
cana-2408	93	21	from	from	ADP
cana-2408	93	22	the	the	DET
cana-2408	93	23	newly	newly	ADV
cana-2408	93	24	placed	place	VERB
cana-2408	93	25	pmu	pmu	NOUN
cana-2408	93	26	to	to	ADP
cana-2408	93	27	these	these	DET
cana-2408	93	28	vertices	vertex	NOUN
cana-2408	93	29	is	be	AUX
cana-2408	93	30	not	not	PART
cana-2408	93	31	v2	v2	PROPN
cana-2408	93	32	.	.	PUNCT
cana-2408	94	1	therefore	therefore	ADV
cana-2408	94	2	,	,	PUNCT
cana-2408	94	3	the	the	DET
cana-2408	94	4	pmu	pmu	NOUN
cana-2408	94	5	at	at	ADP
cana-2408	94	6	vertex	vertex	NOUN
cana-2408	94	7	v4	v4	PROPN
cana-2408	94	8	should	should	AUX
cana-2408	94	9	be	be	AUX
cana-2408	94	10	removed	remove	VERB
cana-2408	94	11	.	.	PUNCT
cana-2408	95	1	at	at	ADP
cana-2408	95	2	this	this	DET
cana-2408	95	3	point	point	NOUN
cana-2408	95	4	,	,	PUNCT
cana-2408	95	5	the	the	DET
cana-2408	95	6	pmus	pmus	NOUN
cana-2408	95	7	should	should	AUX
cana-2408	95	8	only	only	ADV
cana-2408	95	9	be	be	AUX
cana-2408	95	10	placed	place	VERB
cana-2408	95	11	in	in	ADP
cana-2408	95	12	vertices	vertex	NOUN
cana-2408	95	13	v5	v5	PROPN
cana-2408	95	14	and	and	CCONJ
cana-2408	95	15	v9	v9	NOUN
cana-2408	95	16	.	.	PUNCT
cana-2408	96	1	however	however	ADV
cana-2408	96	2	,	,	PUNCT
cana-2408	96	3	vertices	vertice	VERB
cana-2408	96	4	v12	v12	VERB
cana-2408	96	5	and	and	CCONJ
cana-2408	96	6	v13	v13	NOUN
cana-2408	96	7	are	be	AUX
cana-2408	96	8	still	still	ADV
cana-2408	96	9	not	not	PART
cana-2408	96	10	observed	observe	VERB
cana-2408	96	11	.	.	PUNCT
cana-2408	97	1	therefore	therefore	ADV
cana-2408	97	2	,	,	PUNCT
cana-2408	97	3	the	the	DET
cana-2408	97	4	next	next	ADJ
cana-2408	97	5	placement	placement	NOUN
cana-2408	97	6	should	should	AUX
cana-2408	97	7	be	be	AUX
cana-2408	97	8	in	in	ADP
cana-2408	97	9	vertices	vertex	NOUN
cana-2408	97	10	v6	v6	NOUN
cana-2408	97	11	,	,	PUNCT
cana-2408	97	12	which	which	PRON
cana-2408	97	13	has	have	VERB
cana-2408	97	14	the	the	DET
cana-2408	97	15	next	next	ADJ
cana-2408	97	16	highest	high	ADJ
cana-2408	97	17	betweenness	betweenness	ADJ
cana-2408	97	18	centrality	centrality	NOUN
cana-2408	97	19	value	value	NOUN
cana-2408	97	20	.	.	PUNCT
cana-2408	98	1	as	as	ADP
cana-2408	98	2	a	a	DET
cana-2408	98	3	result	result	NOUN
cana-2408	98	4	,	,	PUNCT
cana-2408	98	5	the	the	DET
cana-2408	98	6	pmu	pmu	NOUN
cana-2408	98	7	placed	place	VERB
cana-2408	98	8	in	in	ADP
cana-2408	98	9	vertex	vertex	NOUN
cana-2408	98	10	v5	v5	PROPN
cana-2408	98	11	will	will	AUX
cana-2408	98	12	observe	observe	VERB
cana-2408	98	13	the	the	DET
cana-2408	98	14	vertices	vertex	NOUN
cana-2408	98	15	v1	v1	NOUN
cana-2408	98	16	,	,	PUNCT
cana-2408	98	17	v2	v2	PROPN
cana-2408	98	18	,	,	PUNCT
cana-2408	98	19	v4	v4	NOUN
cana-2408	98	20	,	,	PUNCT
cana-2408	98	21	and	and	CCONJ
cana-2408	98	22	v5	v5	PROPN
cana-2408	98	23	.	.	PUNCT
cana-2408	99	1	the	the	DET
cana-2408	99	2	pmu	pmu	NOUN
cana-2408	99	3	placed	place	VERB
cana-2408	99	4	in	in	ADP
cana-2408	99	5	vertex	vertex	NOUN
cana-2408	99	6	v9	v9	PROPN
cana-2408	99	7	will	will	AUX
cana-2408	99	8	observe	observe	VERB
cana-2408	99	9	the	the	DET
cana-2408	99	10	vertices	vertex	NOUN
cana-2408	99	11	v7	v7	VERB
cana-2408	99	12	,	,	PUNCT
cana-2408	99	13	v9	v9	NOUN
cana-2408	99	14	,	,	PUNCT
cana-2408	99	15	v10	v10	NOUN
cana-2408	99	16	,	,	PUNCT
cana-2408	99	17	and	and	CCONJ
cana-2408	99	18	v14	v14	NOUN
cana-2408	99	19	.	.	PUNCT
cana-2408	100	1	lastly	lastly	ADV
cana-2408	100	2	,	,	PUNCT
cana-2408	100	3	the	the	DET
cana-2408	100	4	pmu	pmu	NOUN
cana-2408	100	5	placed	place	VERB
cana-2408	100	6	in	in	ADP
cana-2408	100	7	vertex	vertex	NOUN
cana-2408	100	8	v6	v6	NOUN
cana-2408	100	9	will	will	AUX
cana-2408	100	10	observe	observe	VERB
cana-2408	100	11	the	the	DET
cana-2408	100	12	vertices	vertex	NOUN
cana-2408	100	13	v6	v6	NOUN
cana-2408	100	14	,	,	PUNCT
cana-2408	100	15	v11	v11	NOUN
cana-2408	100	16	,	,	PUNCT
cana-2408	100	17	v12	v12	VERB
cana-2408	100	18	,	,	PUNCT
cana-2408	100	19	and	and	CCONJ
cana-2408	100	20	v13	v13	X
cana-2408	100	21	.	.	PUNCT
cana-2408	101	1	by	by	ADP
cana-2408	101	2	following	follow	VERB
cana-2408	101	3	rules	rule	NOUN
cana-2408	101	4	2	2	NUM
cana-2408	101	5	and	and	CCONJ
cana-2408	101	6	3	3	NUM
cana-2408	101	7	,	,	PUNCT
cana-2408	101	8	the	the	DET
cana-2408	101	9	remaining	remain	VERB
cana-2408	101	10	vertices	vertex	NOUN
cana-2408	101	11	v3	v3	PROPN
cana-2408	101	12	and	and	CCONJ
cana-2408	101	13	v8	v8	PROPN
cana-2408	101	14	are	be	AUX
cana-2408	101	15	observed	observe	VERB
cana-2408	101	16	.	.	PUNCT
cana-2408	102	1	consequently	consequently	ADV
cana-2408	102	2	,	,	PUNCT
cana-2408	102	3	all	all	DET
cana-2408	102	4	the	the	DET
cana-2408	102	5	vertices	vertex	NOUN
cana-2408	102	6	in	in	ADP
cana-2408	102	7	the	the	DET
cana-2408	102	8	power	power	NOUN
cana-2408	102	9	network	network	NOUN
cana-2408	102	10	graph	graph	NOUN
cana-2408	102	11	are	be	AUX
cana-2408	102	12	observed	observe	VERB
cana-2408	102	13	.	.	PUNCT
cana-2408	103	1	by	by	ADP
cana-2408	103	2	placing	place	VERB
cana-2408	103	3	3	3	NUM
cana-2408	103	4	pmus	pmus	NOUN
cana-2408	103	5	in	in	ADP
cana-2408	103	6	vertices	vertex	NOUN
cana-2408	103	7	v5	v5	PROPN
cana-2408	103	8	,	,	PUNCT
cana-2408	103	9	v6	v6	NOUN
cana-2408	103	10	,	,	PUNCT
cana-2408	103	11	and	and	CCONJ
cana-2408	103	12	v9	v9	PROPN
cana-2408	103	13	,	,	PUNCT
cana-2408	103	14	the	the	DET
cana-2408	103	15	network	network	NOUN
cana-2408	103	16	is	be	AUX
cana-2408	103	17	fully	fully	ADV
cana-2408	103	18	observed	observe	VERB
cana-2408	103	19	.	.	PUNCT
cana-2408	104	1	4.3	4.3	NUM
cana-2408	104	2	ieee	ieee	NOUN
cana-2408	104	3	30	30	NUM
cana-2408	104	4	bus	bus	NOUN
cana-2408	104	5	the	the	DET
cana-2408	104	6	line	line	NOUN
cana-2408	104	7	diagram	diagram	NOUN
cana-2408	104	8	of	of	ADP
cana-2408	104	9	ieee	ieee	NOUN
cana-2408	104	10	30	30	NUM
cana-2408	104	11	is	be	AUX
cana-2408	104	12	given	give	VERB
cana-2408	104	13	in	in	ADP
cana-2408	104	14	fig	fig	NOUN
cana-2408	104	15	.	.	PUNCT
cana-2408	105	1	5	5	NUM
cana-2408	105	2	.	.	PUNCT
cana-2408	106	1	figure	figure	VERB
cana-2408	106	2	5	5	NUM
cana-2408	106	3	:	:	PUNCT
cana-2408	106	4	line	line	NOUN
cana-2408	106	5	diagram	diagram	NOUN
cana-2408	106	6	of	of	ADP
cana-2408	106	7	ieee	ieee	NOUN
cana-2408	106	8	30	30	NUM
cana-2408	106	9	bus	bus	NOUN
cana-2408	106	10	figure	figure	NOUN
cana-2408	106	11	6	6	NUM
cana-2408	106	12	:	:	PUNCT
cana-2408	106	13	ieee	ieee	NOUN
cana-2408	106	14	30	30	NUM
cana-2408	106	15	bus	bus	NOUN
cana-2408	106	16	power	power	NOUN
cana-2408	106	17	network	network	NOUN
cana-2408	106	18	graph	graph	NOUN
cana-2408	106	19	communications	communication	NOUN
cana-2408	106	20	on	on	ADP
cana-2408	106	21	applied	apply	VERB
cana-2408	106	22	nonlinear	nonlinear	ADJ
cana-2408	106	23	analysis	analysis	NOUN
cana-2408	106	24	issn	issn	NOUN
cana-2408	106	25	:	:	PUNCT
cana-2408	106	26	1074	1074	NUM
cana-2408	106	27	-	-	PUNCT
cana-2408	106	28	133x	133x	NUM
cana-2408	106	29	vol	vol	NOUN
cana-2408	106	30	32	32	NUM
cana-2408	106	31	no	no	NOUN
cana-2408	106	32	.	.	PUNCT
cana-2408	107	1	2s	2s	NUM
cana-2408	107	2	(	(	PUNCT
cana-2408	107	3	2025	2025	NUM
cana-2408	107	4	)	)	PUNCT
cana-2408	107	5	336	336	NUM
cana-2408	107	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2408	107	7	table	table	NOUN
cana-2408	107	8	3	3	NUM
cana-2408	107	9	:	:	PUNCT
cana-2408	107	10	ieee	ieee	NOUN
cana-2408	107	11	30	30	NUM
cana-2408	107	12	bus	bus	NOUN
cana-2408	107	13	b	b	PROPN
cana-2408	107	14	c	c	NOUN
cana-2408	107	15	values	value	NOUN
cana-2408	107	16	vertex	vertex	NOUN
cana-2408	107	17	betweeness	betweeness	NOUN
cana-2408	107	18	centrality	centrality	NOUN
cana-2408	107	19	placement	placement	NOUN
cana-2408	107	20	vertex	vertex	NOUN
cana-2408	107	21	betweeness	betweeness	NOUN
cana-2408	107	22	centrality	centrality	NOUN
cana-2408	107	23	placement	placement	NOUN
cana-2408	107	24	v1	v1	NOUN
cana-2408	107	25	1	1	NUM
cana-2408	107	26	v16	v16	NOUN
cana-2408	107	27	10.417	10.417	NUM
cana-2408	107	28	v2	v2	NOUN
cana-2408	107	29	40.5	40.5	NUM
cana-2408	107	30	v17	v17	NOUN
cana-2408	107	31	15.917	15.917	NUM
cana-2408	107	32	v3	v3	PROPN
cana-2408	107	33	4	4	NUM
cana-2408	107	34	v18	v18	PROPN
cana-2408	107	35	11.417	11.417	NUM
cana-2408	107	36	v4	v4	NOUN
cana-2408	107	37	89.75	89.75	NUM
cana-2408	107	38	3	3	NUM
cana-2408	107	39	v19	v19	PROPN
cana-2408	107	40	11.417	11.417	NUM
cana-2408	107	41	v5	v5	PROPN
cana-2408	107	42	1	1	NUM
cana-2408	107	43	v20	v20	NOUN
cana-2408	107	44	26.25	26.25	NUM
cana-2408	107	45	v6	v6	NOUN
cana-2408	107	46	176.583	176.583	NUM
cana-2408	107	47	1	1	NUM
cana-2408	107	48	v21	v21	NOUN
cana-2408	107	49	0	0	NUM
cana-2408	107	50	v7	v7	NOUN
cana-2408	107	51	8.5	8.5	NUM
cana-2408	107	52	v22	v22	NOUN
cana-2408	107	53	34.917	34.917	NUM
cana-2408	107	54	v8	v8	PROPN
cana-2408	107	55	0	0	NUM
cana-2408	107	56	v23	v23	PROPN
cana-2408	107	57	31.25	31.25	NUM
cana-2408	107	58	v9	v9	NOUN
cana-2408	107	59	28	28	NUM
cana-2408	107	60	v24	v24	NOUN
cana-2408	107	61	56.417	56.417	NUM
cana-2408	107	62	6	6	NUM
cana-2408	107	63	v10	v10	NOUN
cana-2408	107	64	115.667	115.667	NUM
cana-2408	107	65	2	2	NUM
cana-2408	107	66	v25	v25	NOUN
cana-2408	107	67	48.833	48.833	NUM
cana-2408	107	68	v11	v11	NOUN
cana-2408	107	69	0	0	NUM
cana-2408	107	70	v26	v26	PROPN
cana-2408	107	71	0	0	NUM
cana-2408	107	72	v12	v12	VERB
cana-2408	107	73	87.5	87.5	NUM
cana-2408	107	74	4	4	NUM
cana-2408	107	75	v27	v27	NOUN
cana-2408	107	76	76.833	76.833	NUM
cana-2408	107	77	5	5	NUM
cana-2408	107	78	v13	v13	NOUN
cana-2408	107	79	0	0	NUM
cana-2408	107	80	v28	v28	VERB
cana-2408	107	81	72.833	72.833	NUM
cana-2408	107	82	v14	v14	NOUN
cana-2408	107	83	0	0	NUM
cana-2408	107	84	v29	v29	NOUN
cana-2408	107	85	0	0	NUM
cana-2408	107	86	v15	v15	NOUN
cana-2408	107	87	54	54	NUM
cana-2408	107	88	v30	v30	NOUN
cana-2408	107	89	0	0	NUM
cana-2408	108	1	according	accord	VERB
cana-2408	108	2	to	to	ADP
cana-2408	108	3	the	the	DET
cana-2408	108	4	information	information	NOUN
cana-2408	108	5	provided	provide	VERB
cana-2408	108	6	in	in	ADP
cana-2408	108	7	table	table	NOUN
cana-2408	108	8	3	3	NUM
cana-2408	108	9	,	,	PUNCT
cana-2408	108	10	we	we	PRON
cana-2408	108	11	will	will	AUX
cana-2408	108	12	begin	begin	VERB
cana-2408	108	13	by	by	ADP
cana-2408	108	14	placing	place	VERB
cana-2408	108	15	the	the	DET
cana-2408	108	16	first	first	ADJ
cana-2408	108	17	pmu	pmu	NOUN
cana-2408	108	18	in	in	ADP
cana-2408	108	19	vertex	vertex	PROPN
cana-2408	108	20	v6	v6	NOUN
cana-2408	108	21	,	,	PUNCT
cana-2408	108	22	which	which	PRON
cana-2408	108	23	will	will	AUX
cana-2408	108	24	observe	observe	VERB
cana-2408	108	25	the	the	DET
cana-2408	108	26	vertices	vertex	NOUN
cana-2408	108	27	v2	v2	PROPN
cana-2408	108	28	,	,	PUNCT
cana-2408	108	29	v4	v4	PROPN
cana-2408	108	30	,	,	PUNCT
cana-2408	108	31	v6	v6	NOUN
cana-2408	108	32	,	,	PUNCT
cana-2408	108	33	v7	v7	NUM
cana-2408	108	34	,	,	PUNCT
cana-2408	108	35	v8	v8	PROPN
cana-2408	108	36	,	,	PUNCT
cana-2408	108	37	v9	v9	PROPN
cana-2408	108	38	,	,	PUNCT
cana-2408	108	39	v10	v10	NOUN
cana-2408	108	40	,	,	PUNCT
cana-2408	108	41	and	and	CCONJ
cana-2408	108	42	v28	v28	VERB
cana-2408	108	43	.	.	PUNCT
cana-2408	109	1	additionally	additionally	ADV
cana-2408	109	2	,	,	PUNCT
cana-2408	109	3	based	base	VERB
cana-2408	109	4	on	on	ADP
cana-2408	109	5	rule	rule	NOUN
cana-2408	109	6	1	1	NUM
cana-2408	109	7	and	and	CCONJ
cana-2408	109	8	2	2	NUM
cana-2408	109	9	,	,	PUNCT
cana-2408	109	10	vertex	vertex	NOUN
cana-2408	109	11	v11	v11	NOUN
cana-2408	109	12	will	will	AUX
cana-2408	109	13	also	also	ADV
cana-2408	109	14	be	be	AUX
cana-2408	109	15	observed	observe	VERB
cana-2408	109	16	.	.	PUNCT
cana-2408	110	1	next	next	ADV
cana-2408	110	2	,	,	PUNCT
cana-2408	110	3	we	we	PRON
cana-2408	110	4	will	will	AUX
cana-2408	110	5	place	place	VERB
cana-2408	110	6	the	the	DET
cana-2408	110	7	second	second	ADJ
cana-2408	110	8	and	and	CCONJ
cana-2408	110	9	third	third	ADJ
cana-2408	110	10	pmus	pmus	NOUN
cana-2408	110	11	in	in	ADP
cana-2408	110	12	vertices	vertex	NOUN
cana-2408	110	13	v10	v10	NOUN
cana-2408	110	14	and	and	CCONJ
cana-2408	110	15	v4	v4	NOUN
cana-2408	110	16	,	,	PUNCT
cana-2408	110	17	respectively	respectively	ADV
cana-2408	110	18	,	,	PUNCT
cana-2408	110	19	in	in	ADP
cana-2408	110	20	order	order	NOUN
cana-2408	110	21	to	to	PART
cana-2408	110	22	observe	observe	VERB
cana-2408	110	23	the	the	DET
cana-2408	110	24	vertices	vertex	NOUN
cana-2408	110	25	v3	v3	PROPN
cana-2408	110	26	,	,	PUNCT
cana-2408	110	27	v4	v4	PROPN
cana-2408	110	28	,	,	PUNCT
cana-2408	110	29	v10	v10	PROPN
cana-2408	110	30	,	,	PUNCT
cana-2408	110	31	v12	v12	VERB
cana-2408	110	32	,	,	PUNCT
cana-2408	110	33	v17	v17	NOUN
cana-2408	110	34	,	,	PUNCT
cana-2408	110	35	v20	v20	NOUN
cana-2408	110	36	,	,	PUNCT
cana-2408	110	37	v21	v21	NOUN
cana-2408	110	38	,	,	PUNCT
cana-2408	110	39	and	and	CCONJ
cana-2408	110	40	v22	v22	NOUN
cana-2408	110	41	.	.	PUNCT
cana-2408	111	1	following	follow	VERB
cana-2408	111	2	rule	rule	NOUN
cana-2408	111	3	1	1	NUM
cana-2408	111	4	and	and	CCONJ
cana-2408	111	5	2	2	NUM
cana-2408	111	6	,	,	PUNCT
cana-2408	111	7	vertices	vertice	VERB
cana-2408	111	8	v1	v1	NOUN
cana-2408	111	9	and	and	CCONJ
cana-2408	111	10	v5	v5	PROPN
cana-2408	111	11	will	will	AUX
cana-2408	111	12	also	also	ADV
cana-2408	111	13	be	be	AUX
cana-2408	111	14	observed	observe	VERB
cana-2408	111	15	.	.	PUNCT
cana-2408	112	1	for	for	ADP
cana-2408	112	2	the	the	DET
cana-2408	112	3	fourth	fourth	ADJ
cana-2408	112	4	and	and	CCONJ
cana-2408	112	5	fifth	fifth	ADJ
cana-2408	112	6	pmus	pmus	NOUN
cana-2408	112	7	,	,	PUNCT
cana-2408	112	8	we	we	PRON
cana-2408	112	9	will	will	AUX
cana-2408	112	10	place	place	VERB
cana-2408	112	11	them	they	PRON
cana-2408	112	12	in	in	ADP
cana-2408	112	13	vertex	vertex	NOUN
cana-2408	112	14	v12	v12	VERB
cana-2408	112	15	and	and	CCONJ
cana-2408	112	16	v27	v27	NOUN
cana-2408	112	17	to	to	PART
cana-2408	112	18	measure	measure	VERB
cana-2408	112	19	the	the	DET
cana-2408	112	20	values	value	NOUN
cana-2408	112	21	in	in	ADP
cana-2408	112	22	vertices	vertex	NOUN
cana-2408	112	23	v12	v12	VERB
cana-2408	112	24	,	,	PUNCT
cana-2408	112	25	v13	v13	PROPN
cana-2408	112	26	,	,	PUNCT
cana-2408	112	27	v14	v14	PROPN
cana-2408	112	28	,	,	PUNCT
cana-2408	112	29	v15	v15	NOUN
cana-2408	112	30	,	,	PUNCT
cana-2408	112	31	v16	v16	NOUN
cana-2408	112	32	,	,	PUNCT
cana-2408	112	33	v25	v25	NOUN
cana-2408	112	34	,	,	PUNCT
cana-2408	112	35	v27	v27	NUM
cana-2408	112	36	,	,	PUNCT
cana-2408	112	37	v28	v28	VERB
cana-2408	112	38	,	,	PUNCT
cana-2408	112	39	v29	v29	NOUN
cana-2408	112	40	and	and	CCONJ
cana-2408	112	41	v30	v30	NOUN
cana-2408	112	42	.	.	PUNCT
cana-2408	113	1	at	at	ADP
cana-2408	113	2	this	this	DET
cana-2408	113	3	stage	stage	NOUN
cana-2408	113	4	,	,	PUNCT
cana-2408	113	5	vertex	vertex	NOUN
cana-2408	113	6	v26	v26	PROPN
cana-2408	113	7	will	will	AUX
cana-2408	113	8	also	also	ADV
cana-2408	113	9	be	be	AUX
cana-2408	113	10	observed	observe	VERB
cana-2408	113	11	based	base	VERB
cana-2408	113	12	on	on	ADP
cana-2408	113	13	rule	rule	NOUN
cana-2408	113	14	1	1	NUM
cana-2408	113	15	and	and	CCONJ
cana-2408	113	16	2	2	NUM
cana-2408	113	17	.	.	PUNCT
cana-2408	114	1	since	since	SCONJ
cana-2408	114	2	all	all	DET
cana-2408	114	3	the	the	DET
cana-2408	114	4	vertices	vertex	NOUN
cana-2408	114	5	adjacent	adjacent	ADJ
cana-2408	114	6	to	to	ADP
cana-2408	114	7	vertex	vertex	NOUN
cana-2408	114	8	v28	v28	NOUN
cana-2408	114	9	have	have	AUX
cana-2408	114	10	already	already	ADV
cana-2408	114	11	been	be	AUX
cana-2408	114	12	observed	observe	VERB
cana-2408	114	13	,	,	PUNCT
cana-2408	114	14	placing	place	VERB
cana-2408	114	15	any	any	DET
cana-2408	114	16	additional	additional	ADJ
cana-2408	114	17	pmu	pmu	NOUN
cana-2408	114	18	in	in	ADP
cana-2408	114	19	this	this	DET
cana-2408	114	20	location	location	NOUN
cana-2408	114	21	will	will	AUX
cana-2408	114	22	not	not	PART
cana-2408	114	23	be	be	AUX
cana-2408	114	24	effective	effective	ADJ
cana-2408	114	25	.	.	PUNCT
cana-2408	115	1	moving	move	VERB
cana-2408	115	2	on	on	ADP
cana-2408	115	3	to	to	ADP
cana-2408	115	4	the	the	DET
cana-2408	115	5	next	next	ADJ
cana-2408	115	6	maximum	maximum	ADJ
cana-2408	115	7	betweenness	betweenness	NOUN
cana-2408	115	8	value	value	NOUN
cana-2408	115	9	,	,	PUNCT
cana-2408	115	10	we	we	PRON
cana-2408	115	11	will	will	AUX
cana-2408	115	12	place	place	VERB
cana-2408	115	13	a	a	DET
cana-2408	115	14	pmu	pmu	NOUN
cana-2408	115	15	in	in	ADP
cana-2408	115	16	vertex	vertex	NOUN
cana-2408	115	17	v24	v24	NOUN
cana-2408	115	18	and	and	CCONJ
cana-2408	115	19	another	another	PRON
cana-2408	115	20	in	in	ADP
cana-2408	115	21	vertex	vertex	NOUN
cana-2408	115	22	v5	v5	PROPN
cana-2408	115	23	to	to	PART
cana-2408	115	24	observe	observe	VERB
cana-2408	115	25	the	the	DET
cana-2408	115	26	vertices	vertex	NOUN
cana-2408	115	27	v18	v18	NOUN
cana-2408	115	28	,	,	PUNCT
cana-2408	115	29	v23	v23	PROPN
cana-2408	115	30	,	,	PUNCT
cana-2408	115	31	and	and	CCONJ
cana-2408	115	32	v24	v24	NOUN
cana-2408	115	33	.	.	PUNCT
cana-2408	116	1	following	follow	VERB
cana-2408	116	2	rule	rule	NOUN
cana-2408	116	3	1	1	NUM
cana-2408	116	4	and	and	CCONJ
cana-2408	116	5	2	2	NUM
cana-2408	116	6	,	,	PUNCT
cana-2408	116	7	vertex	vertex	NOUN
cana-2408	116	8	v19	v19	NOUN
cana-2408	116	9	will	will	AUX
cana-2408	116	10	also	also	ADV
cana-2408	116	11	be	be	AUX
cana-2408	116	12	observed	observe	VERB
cana-2408	116	13	.	.	PUNCT
cana-2408	117	1	therefore	therefore	ADV
cana-2408	117	2	,	,	PUNCT
cana-2408	117	3	with	with	ADP
cana-2408	117	4	a	a	DET
cana-2408	117	5	total	total	NOUN
cana-2408	117	6	of	of	ADP
cana-2408	117	7	7	7	NUM
cana-2408	117	8	pmus	pmus	NOUN
cana-2408	117	9	,	,	PUNCT
cana-2408	117	10	we	we	PRON
cana-2408	117	11	will	will	AUX
cana-2408	117	12	be	be	AUX
cana-2408	117	13	able	able	ADJ
cana-2408	117	14	to	to	PART
cana-2408	117	15	observe	observe	VERB
cana-2408	117	16	all	all	DET
cana-2408	117	17	the	the	DET
cana-2408	117	18	vertices	vertex	NOUN
cana-2408	117	19	in	in	ADP
cana-2408	117	20	the	the	DET
cana-2408	117	21	power	power	NOUN
cana-2408	117	22	network	network	NOUN
cana-2408	117	23	.	.	PUNCT
cana-2408	118	1	communications	communication	NOUN
cana-2408	118	2	on	on	ADP
cana-2408	118	3	applied	apply	VERB
cana-2408	118	4	nonlinear	nonlinear	ADJ
cana-2408	118	5	analysis	analysis	NOUN
cana-2408	118	6	issn	issn	NOUN
cana-2408	118	7	:	:	PUNCT
cana-2408	118	8	1074	1074	NUM
cana-2408	118	9	-	-	PUNCT
cana-2408	118	10	133x	133x	NUM
cana-2408	118	11	vol	vol	NOUN
cana-2408	118	12	32	32	NUM
cana-2408	118	13	no	no	NOUN
cana-2408	118	14	.	.	PUNCT
cana-2408	119	1	2s	2s	NUM
cana-2408	119	2	(	(	PUNCT
cana-2408	119	3	2025	2025	NUM
cana-2408	119	4	)	)	PUNCT
cana-2408	119	5	337	337	NUM
cana-2408	119	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2408	119	7	5	5	X
cana-2408	119	8	.	.	NOUN
cana-2408	119	9	results	result	NOUN
cana-2408	119	10	and	and	CCONJ
cana-2408	119	11	discussions	discussion	NOUN
cana-2408	119	12	to	to	PART
cana-2408	119	13	tackle	tackle	VERB
cana-2408	119	14	the	the	DET
cana-2408	119	15	issue	issue	NOUN
cana-2408	119	16	of	of	ADP
cana-2408	119	17	high	high	ADJ
cana-2408	119	18	costs	cost	NOUN
cana-2408	119	19	,	,	PUNCT
cana-2408	119	20	it	it	PRON
cana-2408	119	21	is	be	AUX
cana-2408	119	22	essential	essential	ADJ
cana-2408	119	23	to	to	PART
cana-2408	119	24	reduce	reduce	VERB
cana-2408	119	25	the	the	DET
cana-2408	119	26	number	number	NOUN
cana-2408	119	27	of	of	ADP
cana-2408	119	28	pmus	pmus	NOUN
cana-2408	119	29	and	and	CCONJ
cana-2408	119	30	implement	implement	VERB
cana-2408	119	31	measures	measure	NOUN
cana-2408	119	32	originating	originate	VERB
cana-2408	119	33	from	from	ADP
cana-2408	119	34	the	the	DET
cana-2408	119	35	vertices	vertex	NOUN
cana-2408	119	36	.	.	PUNCT
cana-2408	120	1	there	there	PRON
cana-2408	120	2	are	be	VERB
cana-2408	120	3	several	several	ADJ
cana-2408	120	4	well	well	ADV
cana-2408	120	5	-	-	PUNCT
cana-2408	120	6	known	know	VERB
cana-2408	120	7	techniques	technique	NOUN
cana-2408	120	8	for	for	ADP
cana-2408	120	9	calculating	calculate	VERB
cana-2408	120	10	the	the	DET
cana-2408	120	11	number	number	NOUN
cana-2408	120	12	of	of	ADP
cana-2408	120	13	pmus	pmus	NOUN
cana-2408	120	14	and	and	CCONJ
cana-2408	120	15	determining	determine	VERB
cana-2408	120	16	their	their	PRON
cana-2408	120	17	suitable	suitable	ADJ
cana-2408	120	18	placements	placement	NOUN
cana-2408	120	19	.	.	PUNCT
cana-2408	121	1	by	by	ADP
cana-2408	121	2	comparing	compare	VERB
cana-2408	121	3	the	the	DET
cana-2408	121	4	outcomes	outcome	NOUN
cana-2408	121	5	of	of	ADP
cana-2408	121	6	the	the	DET
cana-2408	121	7	proposed	propose	VERB
cana-2408	121	8	method	method	NOUN
cana-2408	121	9	with	with	ADP
cana-2408	121	10	other	other	ADJ
cana-2408	121	11	popular	popular	ADJ
cana-2408	121	12	methods	method	NOUN
cana-2408	121	13	like	like	ADP
cana-2408	121	14	power	power	NOUN
cana-2408	121	15	domination	domination	NOUN
cana-2408	121	16	integrity	integrity	NOUN
cana-2408	121	17	[	[	X
cana-2408	121	18	11	11	NUM
cana-2408	121	19	]	]	PUNCT
cana-2408	121	20	,	,	PUNCT
cana-2408	121	21	topology	topology	NOUN
cana-2408	121	22	transformation	transformation	NOUN
cana-2408	121	23	[	[	X
cana-2408	121	24	10	10	NUM
cana-2408	121	25	]	]	PUNCT
cana-2408	121	26	and	and	CCONJ
cana-2408	121	27	immunity	immunity	NOUN
cana-2408	121	28	genetic	genetic	ADJ
cana-2408	121	29	algorithm	algorithm	NOUN
cana-2408	121	30	[	[	X
cana-2408	121	31	2	2	X
cana-2408	121	32	]	]	PUNCT
cana-2408	121	33	the	the	DET
cana-2408	121	34	results	result	NOUN
cana-2408	121	35	can	can	AUX
cana-2408	121	36	be	be	AUX
cana-2408	121	37	organized	organize	VERB
cana-2408	121	38	in	in	ADP
cana-2408	121	39	a	a	DET
cana-2408	121	40	tabulated	tabulate	VERB
cana-2408	121	41	manner	manner	NOUN
cana-2408	121	42	.	.	PUNCT
cana-2408	122	1	table	table	NOUN
cana-2408	122	2	4	4	NUM
cana-2408	122	3	:	:	PUNCT
cana-2408	122	4	number	number	NOUN
cana-2408	122	5	of	of	ADP
cana-2408	122	6	pmus	pmus	NOUN
cana-2408	122	7	in	in	ADP
cana-2408	122	8	various	various	ADJ
cana-2408	122	9	methods	method	NOUN
cana-2408	122	10	method	method	VERB
cana-2408	122	11	ieee	ieee	NOUN
cana-2408	122	12	14	14	NUM
cana-2408	122	13	ieee	ieee	NOUN
cana-2408	122	14	30	30	NUM
cana-2408	122	15	betweenness	betweenness	NOUN
cana-2408	122	16	centrality	centrality	NOUN
cana-2408	122	17	method	method	NOUN
cana-2408	122	18	3	3	NUM
cana-2408	122	19	7	7	NUM
cana-2408	122	20	power	power	NOUN
cana-2408	122	21	domination	domination	NOUN
cana-2408	122	22	method	method	NOUN
cana-2408	122	23	[	[	X
cana-2408	122	24	11	11	NUM
cana-2408	122	25	]	]	SYM
cana-2408	122	26	3	3	NUM
cana-2408	122	27	7	7	NUM
cana-2408	122	28	topology	topology	NOUN
cana-2408	122	29	transformation	transformation	NOUN
cana-2408	122	30	method	method	NOUN
cana-2408	123	1	[	[	X
cana-2408	123	2	10	10	NUM
cana-2408	123	3	]	]	SYM
cana-2408	123	4	3	3	NUM
cana-2408	123	5	7	7	NUM
cana-2408	123	6	immunity	immunity	NOUN
cana-2408	123	7	genetic	genetic	ADJ
cana-2408	123	8	algorithm	algorithm	NOUN
cana-2408	123	9	[	[	X
cana-2408	123	10	2	2	NUM
cana-2408	123	11	]	]	SYM
cana-2408	123	12	3	3	NUM
cana-2408	123	13	7	7	NUM
cana-2408	123	14	6	6	NUM
cana-2408	123	15	.	.	PUNCT
cana-2408	124	1	conclusion	conclusion	PROPN
cana-2408	124	2	saravanan	saravanan	PROPN
cana-2408	124	3	et	et	PROPN
cana-2408	124	4	al	al	PROPN
cana-2408	124	5	.	.	PUNCT
cana-2408	125	1	[	[	X
cana-2408	125	2	11	11	NUM
cana-2408	125	3	]	]	PUNCT
cana-2408	125	4	proposed	propose	VERB
cana-2408	125	5	a	a	DET
cana-2408	125	6	methodology	methodology	NOUN
cana-2408	125	7	involving	involve	VERB
cana-2408	125	8	two	two	NUM
cana-2408	125	9	distinct	distinct	ADJ
cana-2408	125	10	steps	step	NOUN
cana-2408	125	11	to	to	PART
cana-2408	125	12	determine	determine	VERB
cana-2408	125	13	the	the	DET
cana-2408	125	14	minimum	minimum	ADJ
cana-2408	125	15	number	number	NOUN
cana-2408	125	16	of	of	ADP
cana-2408	125	17	pmus	pmus	NOUN
cana-2408	125	18	and	and	CCONJ
cana-2408	125	19	their	their	PRON
cana-2408	125	20	respective	respective	ADJ
cana-2408	125	21	placements	placement	NOUN
cana-2408	125	22	.	.	PUNCT
cana-2408	126	1	however	however	ADV
cana-2408	126	2	,	,	PUNCT
cana-2408	126	3	a	a	DET
cana-2408	126	4	more	more	ADV
cana-2408	126	5	efficient	efficient	ADJ
cana-2408	126	6	approach	approach	NOUN
cana-2408	126	7	can	can	AUX
cana-2408	126	8	be	be	AUX
cana-2408	126	9	achieved	achieve	VERB
cana-2408	126	10	by	by	ADP
cana-2408	126	11	utilizing	utilize	VERB
cana-2408	126	12	betweenness	betweenness	ADJ
cana-2408	126	13	centrality	centrality	NOUN
cana-2408	126	14	.	.	PUNCT
cana-2408	127	1	by	by	ADP
cana-2408	127	2	calculating	calculate	VERB
cana-2408	127	3	the	the	DET
cana-2408	127	4	betweenness	betweenness	ADJ
cana-2408	127	5	centrality	centrality	NOUN
cana-2408	127	6	for	for	ADP
cana-2408	127	7	all	all	DET
cana-2408	127	8	nodes	node	NOUN
cana-2408	127	9	and	and	CCONJ
cana-2408	127	10	arranging	arrange	VERB
cana-2408	127	11	the	the	DET
cana-2408	127	12	pmu	pmu	ADJ
cana-2408	127	13	placement	placement	NOUN
cana-2408	127	14	from	from	ADP
cana-2408	127	15	highest	high	ADJ
cana-2408	127	16	to	to	AUX
cana-2408	127	17	lowest	low	ADJ
cana-2408	127	18	,	,	PUNCT
cana-2408	127	19	this	this	DET
cana-2408	127	20	task	task	NOUN
cana-2408	127	21	can	can	AUX
cana-2408	127	22	be	be	AUX
cana-2408	127	23	effectively	effectively	ADV
cana-2408	127	24	completed	complete	VERB
cana-2408	127	25	.	.	PUNCT
cana-2408	128	1	the	the	DET
cana-2408	128	2	results	result	NOUN
cana-2408	128	3	obtained	obtain	VERB
cana-2408	128	4	through	through	ADP
cana-2408	128	5	this	this	DET
cana-2408	128	6	technique	technique	NOUN
cana-2408	128	7	are	be	AUX
cana-2408	128	8	consistent	consistent	ADJ
cana-2408	128	9	with	with	ADP
cana-2408	128	10	those	those	PRON
cana-2408	128	11	obtained	obtain	VERB
cana-2408	128	12	through	through	ADP
cana-2408	128	13	other	other	ADJ
cana-2408	128	14	methods	method	NOUN
cana-2408	128	15	,	,	PUNCT
cana-2408	128	16	as	as	SCONJ
cana-2408	128	17	indicated	indicate	VERB
cana-2408	128	18	in	in	ADP
cana-2408	128	19	table	table	NOUN
cana-2408	128	20	4	4	NUM
cana-2408	128	21	.	.	NOUN
cana-2408	128	22	7	7	NUM
cana-2408	128	23	.	.	X
cana-2408	128	24	acknowledgment	acknowledgment	NOUN
cana-2408	128	25	the	the	DET
cana-2408	128	26	authors	author	NOUN
cana-2408	128	27	expresses	express	VERB
cana-2408	128	28	gratitude	gratitude	NOUN
cana-2408	128	29	to	to	ADP
cana-2408	128	30	the	the	DET
cana-2408	128	31	editor	editor	NOUN
cana-2408	128	32	and	and	CCONJ
cana-2408	128	33	anonymous	anonymous	ADJ
cana-2408	128	34	referees	referee	NOUN
cana-2408	128	35	for	for	ADP
cana-2408	128	36	reviewing	review	VERB
cana-2408	128	37	this	this	DET
cana-2408	128	38	manuscript	manuscript	NOUN
cana-2408	128	39	and	and	CCONJ
cana-2408	128	40	providing	provide	VERB
cana-2408	128	41	helpful	helpful	ADJ
cana-2408	128	42	suggestions	suggestion	NOUN
cana-2408	128	43	and	and	CCONJ
cana-2408	128	44	comments	comment	NOUN
cana-2408	128	45	references	reference	NOUN
cana-2408	128	46	[	[	X
cana-2408	128	47	1	1	X
cana-2408	128	48	]	]	PUNCT
cana-2408	128	49	j.	j.	PROPN
cana-2408	128	50	ahn	ahn	PROPN
cana-2408	128	51	,	,	PUNCT
cana-2408	128	52	d.	d.	PROPN
cana-2408	128	53	h.	h.	PROPN
cana-2408	128	54	lee	lee	PROPN
cana-2408	128	55	,	,	PUNCT
cana-2408	128	56	y.	y.	PROPN
cana-2408	128	57	yoon	yoon	PROPN
cana-2408	128	58	,	,	PUNCT
cana-2408	128	59	y.	y.	PROPN
cana-2408	128	60	yeu	yeu	PROPN
cana-2408	128	61	,	,	PUNCT
cana-2408	128	62	and	and	CCONJ
cana-2408	128	63	s.	s.	PROPN
cana-2408	128	64	park	park	PROPN
cana-2408	128	65	,	,	PUNCT
cana-2408	128	66	improved	improve	VERB
cana-2408	128	67	method	method	NOUN
cana-2408	128	68	for	for	ADP
cana-2408	128	69	protein	protein	NOUN
cana-2408	128	70	complex	complex	ADJ
cana-2408	128	71	detection	detection	NOUN
cana-2408	128	72	using	use	VERB
cana-2408	128	73	bottleneck	bottleneck	NOUN
cana-2408	128	74	proteins	protein	NOUN
cana-2408	128	75	.	.	PUNCT
cana-2408	129	1	in	in	ADP
cana-2408	129	2	bmc	bmc	PROPN
cana-2408	129	3	medical	medical	ADJ
cana-2408	129	4	informatics	informatic	NOUN
cana-2408	129	5	and	and	CCONJ
cana-2408	129	6	decision	decision	NOUN
cana-2408	129	7	making	making	NOUN
cana-2408	129	8	,	,	PUNCT
cana-2408	129	9	volume	volume	NOUN
cana-2408	129	10	13	13	NUM
cana-2408	129	11	,	,	PUNCT
cana-2408	129	12	pages	page	NOUN
cana-2408	129	13	1–9	1–9	NUM
cana-2408	129	14	.	.	PROPN
cana-2408	129	15	springer	springer	NOUN
cana-2408	129	16	,	,	PUNCT
cana-2408	129	17	2013	2013	NUM
cana-2408	129	18	.	.	PUNCT
cana-2408	130	1	[	[	X
cana-2408	130	2	2	2	NUM
cana-2408	130	3	]	]	X
cana-2408	130	4	f.	f.	PROPN
cana-2408	130	5	aminifar	aminifar	PROPN
cana-2408	130	6	,	,	PUNCT
cana-2408	130	7	c.	c.	PROPN
cana-2408	130	8	lucas	lucas	PROPN
cana-2408	130	9	,	,	PUNCT
cana-2408	130	10	a.	a.	NOUN
cana-2408	130	11	khodaei	khodaei	PROPN
cana-2408	130	12	,	,	PUNCT
cana-2408	130	13	and	and	CCONJ
cana-2408	130	14	m.	m.	NOUN
cana-2408	130	15	fotuhi	fotuhi	NOUN
cana-2408	130	16	-	-	PUNCT
cana-2408	130	17	firuzabad	firuzabad	NOUN
cana-2408	130	18	,	,	PUNCT
cana-2408	130	19	optimal	optimal	ADJ
cana-2408	130	20	placement	placement	NOUN
cana-2408	130	21	of	of	ADP
cana-2408	130	22	phasor	phasor	NOUN
cana-2408	130	23	measurement	measurement	NOUN
cana-2408	130	24	units	unit	NOUN
cana-2408	130	25	using	use	VERB
cana-2408	130	26	immunity	immunity	NOUN
cana-2408	130	27	genetic	genetic	ADJ
cana-2408	130	28	algorithm	algorithm	NOUN
cana-2408	130	29	.	.	PUNCT
cana-2408	131	1	ieee	ieee	NOUN
cana-2408	131	2	transactions	transaction	NOUN
cana-2408	131	3	on	on	ADP
cana-2408	131	4	power	power	NOUN
cana-2408	131	5	delivery	delivery	NOUN
cana-2408	131	6	,	,	PUNCT
cana-2408	131	7	24	24	NUM
cana-2408	131	8	(	(	PUNCT
cana-2408	131	9	3):1014–1020	3):1014–1020	NUM
cana-2408	131	10	,	,	PUNCT
cana-2408	131	11	2009	2009	NUM
cana-2408	131	12	.	.	PUNCT
cana-2408	132	1	[	[	X
cana-2408	132	2	3	3	X
cana-2408	132	3	]	]	X
cana-2408	132	4	t.	t.	PROPN
cana-2408	132	5	baldwin	baldwin	PROPN
cana-2408	132	6	,	,	PUNCT
cana-2408	132	7	l.	l.	PROPN
cana-2408	132	8	mili	mili	PROPN
cana-2408	132	9	,	,	PUNCT
cana-2408	132	10	m.	m.	PROPN
cana-2408	132	11	boisen	boisen	PROPN
cana-2408	132	12	,	,	PUNCT
cana-2408	132	13	and	and	CCONJ
cana-2408	132	14	r.	r.	PROPN
cana-2408	132	15	adapa	adapa	PROPN
cana-2408	132	16	,	,	PUNCT
cana-2408	132	17	power	power	NOUN
cana-2408	132	18	system	system	NOUN
cana-2408	132	19	observability	observability	NOUN
cana-2408	132	20	with	with	ADP
cana-2408	132	21	minimal	minimal	ADJ
cana-2408	132	22	phasor	phasor	NOUN
cana-2408	132	23	measurement	measurement	NOUN
cana-2408	132	24	placement	placement	NOUN
cana-2408	132	25	.	.	PUNCT
cana-2408	133	1	ieee	ieee	NOUN
cana-2408	133	2	transactions	transaction	NOUN
cana-2408	133	3	on	on	ADP
cana-2408	133	4	power	power	NOUN
cana-2408	133	5	systems	system	NOUN
cana-2408	133	6	,	,	PUNCT
cana-2408	133	7	8(2):707–715	8(2):707–715	NOUN
cana-2408	133	8	,	,	PUNCT
cana-2408	133	9	1993	1993	NUM
cana-2408	133	10	.	.	PUNCT
cana-2408	134	1	doi	doi	NOUN
cana-2408	134	2	:	:	PUNCT
cana-2408	134	3	10	10	NUM
cana-2408	134	4	.	.	PUNCT
cana-2408	135	1	1109/59.260810	1109/59.260810	NUM
cana-2408	135	2	.	.	PUNCT
cana-2408	136	1	[	[	X
cana-2408	136	2	4	4	X
cana-2408	136	3	]	]	PUNCT
cana-2408	136	4	j.	j.	PROPN
cana-2408	136	5	a.	a.	PROPN
cana-2408	136	6	bondy	bondy	PROPN
cana-2408	136	7	and	and	CCONJ
cana-2408	136	8	u.	u.	PROPN
cana-2408	136	9	s.	s.	PROPN
cana-2408	136	10	r.	r.	PROPN
cana-2408	136	11	murty	murty	PROPN
cana-2408	136	12	,	,	PUNCT
cana-2408	136	13	graph	graph	NOUN
cana-2408	136	14	theory	theory	NOUN
cana-2408	136	15	.	.	PUNCT
cana-2408	137	1	springer	springer	NOUN
cana-2408	137	2	publishing	publishing	NOUN
cana-2408	137	3	company	company	NOUN
cana-2408	137	4	,	,	PUNCT
cana-2408	137	5	incorporated	incorporate	VERB
cana-2408	137	6	,	,	PUNCT
cana-2408	137	7	2008	2008	NUM
cana-2408	137	8	.	.	PUNCT
cana-2408	138	1	[	[	X
cana-2408	138	2	5	5	NUM
cana-2408	138	3	]	]	PUNCT
cana-2408	138	4	a.	a.	NOUN
cana-2408	138	5	cruz	cruz	PROPN
cana-2408	138	6	,	,	PUNCT
cana-2408	138	7	h.	h.	PROPN
cana-2408	138	8	r.	r.	PROPN
cana-2408	138	9	rocha	rocha	PROPN
cana-2408	138	10	,	,	PUNCT
cana-2408	138	11	m.	m.	PROPN
cana-2408	138	12	h.	h.	PROPN
cana-2408	138	13	paiva	paiva	PROPN
cana-2408	138	14	,	,	PUNCT
cana-2408	138	15	m.	m.	PROPN
cana-2408	138	16	e.	e.	PROPN
cana-2408	138	17	segatto	segatto	PROPN
cana-2408	138	18	,	,	PUNCT
cana-2408	138	19	e.	e.	PROPN
cana-2408	138	20	camby	camby	PROPN
cana-2408	138	21	,	,	PUNCT
cana-2408	138	22	and	and	CCONJ
cana-2408	138	23	g.	g.	PROPN
cana-2408	138	24	caporossi	caporossi	PROPN
cana-2408	138	25	,	,	PUNCT
cana-2408	138	26	an	an	DET
cana-2408	138	27	algorithm	algorithm	NOUN
cana-2408	138	28	for	for	ADP
cana-2408	138	29	cost	cost	NOUN
cana-2408	138	30	optimization	optimization	NOUN
cana-2408	138	31	of	of	ADP
cana-2408	138	32	pmu	pmu	ADJ
cana-2408	138	33	and	and	CCONJ
cana-2408	138	34	communication	communication	NOUN
cana-2408	138	35	infrastructure	infrastructure	NOUN
cana-2408	138	36	in	in	ADP
cana-2408	138	37	wams	wam	NOUN
cana-2408	138	38	.	.	PUNCT
cana-2408	139	1	international	international	ADJ
cana-2408	139	2	journal	journal	NOUN
cana-2408	139	3	of	of	ADP
cana-2408	139	4	electrical	electrical	ADJ
cana-2408	139	5	power	power	NOUN
cana-2408	139	6	&	&	CCONJ
cana-2408	139	7	energy	energy	NOUN
cana-2408	139	8	systems	system	NOUN
cana-2408	139	9	,	,	PUNCT
cana-2408	139	10	106:96–104	106:96–104	NUM
cana-2408	139	11	,	,	PUNCT
cana-2408	139	12	2019	2019	NUM
cana-2408	139	13	.	.	PUNCT
cana-2408	140	1	[	[	X
cana-2408	140	2	6	6	NUM
cana-2408	140	3	]	]	X
cana-2408	140	4	l.	l.	PROPN
cana-2408	140	5	freeman	freeman	PROPN
cana-2408	140	6	,	,	PUNCT
cana-2408	140	7	centrality	centrality	NOUN
cana-2408	140	8	in	in	ADP
cana-2408	140	9	social	social	ADJ
cana-2408	140	10	networks	network	NOUN
cana-2408	140	11	conceptual	conceptual	ADJ
cana-2408	140	12	clarification	clarification	NOUN
cana-2408	140	13	.	.	PUNCT
cana-2408	141	1	socialnetworks	socialnetwork	NOUN
cana-2408	141	2	,	,	PUNCT
cana-2408	141	3	1	1	NUM
cana-2408	141	4	,	,	PUNCT
cana-2408	141	5	215–239	215–239	NUM
cana-2408	141	6	,	,	PUNCT
cana-2408	141	7	1979	1979	NUM
cana-2408	141	8	.	.	PUNCT
cana-2408	142	1	[	[	X
cana-2408	142	2	7	7	X
cana-2408	142	3	]	]	X
cana-2408	142	4	s.	s.	PROPN
cana-2408	142	5	gago	gago	PROPN
cana-2408	142	6	,	,	PUNCT
cana-2408	142	7	j.	j.	PROPN
cana-2408	142	8	hurajová	hurajová	PROPN
cana-2408	142	9	,	,	PUNCT
cana-2408	142	10	and	and	CCONJ
cana-2408	142	11	t.	t.	PROPN
cana-2408	142	12	madaras	madaras	PROPN
cana-2408	142	13	,	,	PUNCT
cana-2408	142	14	notes	note	NOUN
cana-2408	142	15	on	on	ADP
cana-2408	142	16	the	the	DET
cana-2408	142	17	betweenness	betweenness	ADJ
cana-2408	142	18	centrality	centrality	NOUN
cana-2408	142	19	of	of	ADP
cana-2408	142	20	a	a	DET
cana-2408	142	21	graph	graph	NOUN
cana-2408	142	22	.	.	PUNCT
cana-2408	143	1	mathematica	mathematica	PROPN
cana-2408	143	2	slovaca	slovaca	PROPN
cana-2408	143	3	,	,	PUNCT
cana-2408	143	4	62(1):1–12	62(1):1–12	NUM
cana-2408	143	5	,	,	PUNCT
cana-2408	143	6	2012	2012	NUM
cana-2408	143	7	.	.	PUNCT
cana-2408	144	1	doi:10.2478	doi:10.2478	PROPN
cana-2408	144	2	/	/	SYM
cana-2408	144	3	s12175	s12175	PROPN
cana-2408	144	4	-	-	PUNCT
cana-2408	144	5	011	011	NUM
cana-2408	144	6	-	-	PUNCT
cana-2408	144	7	0065	0065	NUM
cana-2408	144	8	-	-	PUNCT
cana-2408	144	9	7	7	NUM
cana-2408	144	10	.	.	PUNCT
cana-2408	145	1	[	[	X
cana-2408	145	2	8	8	NUM
cana-2408	145	3	]	]	PUNCT
cana-2408	145	4	t.	t.	PROPN
cana-2408	145	5	w.	w.	PROPN
cana-2408	145	6	haynes	haynes	PROPN
cana-2408	145	7	,	,	PUNCT
cana-2408	145	8	s.	s.	PROPN
cana-2408	145	9	m.	m.	PROPN
cana-2408	145	10	hedetniemi	hedetniemi	PROPN
cana-2408	145	11	,	,	PUNCT
cana-2408	145	12	s.	s.	PROPN
cana-2408	145	13	t.	t.	PROPN
cana-2408	145	14	hedetniemi	hedetniemi	PROPN
cana-2408	145	15	,	,	PUNCT
cana-2408	145	16	and	and	CCONJ
cana-2408	145	17	m.	m.	PROPN
cana-2408	145	18	a.	a.	PROPN
cana-2408	145	19	henning	henning	PROPN
cana-2408	145	20	,	,	PUNCT
cana-2408	145	21	domination	domination	NOUN
cana-2408	145	22	in	in	ADP
cana-2408	145	23	graphs	graph	NOUN
cana-2408	145	24	applied	apply	VERB
cana-2408	145	25	communications	communication	NOUN
cana-2408	145	26	on	on	ADP
cana-2408	145	27	applied	apply	VERB
cana-2408	145	28	nonlinear	nonlinear	ADJ
cana-2408	145	29	analysis	analysis	NOUN
cana-2408	145	30	issn	issn	NOUN
cana-2408	145	31	:	:	PUNCT
cana-2408	145	32	1074	1074	NUM
cana-2408	145	33	-	-	PUNCT
cana-2408	145	34	133x	133x	NUM
cana-2408	145	35	vol	vol	NOUN
cana-2408	145	36	32	32	NUM
cana-2408	145	37	no	no	NOUN
cana-2408	145	38	.	.	PUNCT
cana-2408	146	1	2s	2s	NUM
cana-2408	146	2	(	(	PUNCT
cana-2408	146	3	2025	2025	NUM
cana-2408	146	4	)	)	PUNCT
cana-2408	146	5	338	338	NUM
cana-2408	146	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2408	146	7	to	to	ADP
cana-2408	146	8	electric	electric	ADJ
cana-2408	146	9	power	power	NOUN
cana-2408	146	10	networks	network	NOUN
cana-2408	146	11	.	.	PUNCT
cana-2408	147	1	siam	siam	PROPN
cana-2408	147	2	journal	journal	PROPN
cana-2408	147	3	on	on	ADP
cana-2408	147	4	discrete	discrete	ADJ
cana-2408	147	5	mathematics	mathematic	NOUN
cana-2408	147	6	,	,	PUNCT
cana-2408	147	7	15(4):519–529	15(4):519–529	NUM
cana-2408	147	8	,	,	PUNCT
cana-2408	147	9	2002	2002	NUM
cana-2408	147	10	.	.	PUNCT
cana-2408	148	1	[	[	X
cana-2408	148	2	9	9	NUM
cana-2408	148	3	]	]	X
cana-2408	148	4	n.	n.	PROPN
cana-2408	148	5	kourtellis	kourtellis	PROPN
cana-2408	148	6	,	,	PUNCT
cana-2408	148	7	t.	t.	PROPN
cana-2408	148	8	alahakoon	alahakoon	PROPN
cana-2408	148	9	,	,	PUNCT
cana-2408	148	10	r.	r.	PROPN
cana-2408	148	11	simha	simha	PROPN
cana-2408	148	12	,	,	PUNCT
cana-2408	148	13	a.	a.	NOUN
cana-2408	148	14	iamnitchi	iamnitchi	PROPN
cana-2408	148	15	,	,	PUNCT
cana-2408	148	16	and	and	CCONJ
cana-2408	148	17	r.	r.	PROPN
cana-2408	148	18	tripathi	tripathi	PROPN
cana-2408	148	19	,	,	PUNCT
cana-2408	148	20	identifying	identify	VERB
cana-2408	148	21	high	high	ADJ
cana-2408	148	22	betweenness	betweenness	NOUN
cana-2408	148	23	centrality	centrality	NOUN
cana-2408	148	24	nodes	node	NOUN
cana-2408	148	25	in	in	ADP
cana-2408	148	26	large	large	ADJ
cana-2408	148	27	social	social	ADJ
cana-2408	148	28	networks	network	NOUN
cana-2408	148	29	.	.	PUNCT
cana-2408	149	1	social	social	ADJ
cana-2408	149	2	network	network	NOUN
cana-2408	149	3	analysis	analysis	NOUN
cana-2408	149	4	and	and	CCONJ
cana-2408	149	5	mining	mining	NOUN
cana-2408	149	6	,	,	PUNCT
cana-2408	149	7	3:899–914	3:899–914	PROPN
cana-2408	149	8	,	,	PUNCT
cana-2408	149	9	2013	2013	NUM
cana-2408	149	10	.	.	PUNCT
cana-2408	150	1	[	[	X
cana-2408	150	2	10	10	NUM
cana-2408	150	3	]	]	X
cana-2408	150	4	n.	n.	PROPN
cana-2408	150	5	h.	h.	PROPN
cana-2408	150	6	a.	a.	PROPN
cana-2408	150	7	rahman	rahman	PROPN
cana-2408	150	8	and	and	CCONJ
cana-2408	150	9	a.	a.	PROPN
cana-2408	150	10	f.	f.	PROPN
cana-2408	150	11	zobaa	zobaa	PROPN
cana-2408	150	12	,	,	PUNCT
cana-2408	150	13	optimal	optimal	ADJ
cana-2408	150	14	pmu	pmu	NOUN
cana-2408	150	15	placement	placement	NOUN
cana-2408	150	16	using	use	VERB
cana-2408	150	17	topology	topology	NOUN
cana-2408	150	18	transformation	transformation	NOUN
cana-2408	150	19	method	method	NOUN
cana-2408	150	20	in	in	ADP
cana-2408	150	21	power	power	NOUN
cana-2408	150	22	systems	system	NOUN
cana-2408	150	23	.	.	PUNCT
cana-2408	151	1	journal	journal	NOUN
cana-2408	151	2	of	of	ADP
cana-2408	151	3	advanced	advanced	ADJ
cana-2408	151	4	research	research	NOUN
cana-2408	151	5	,	,	PUNCT
cana-2408	151	6	7:625	7:625	NUM
cana-2408	151	7	–	–	PUNCT
cana-2408	151	8	634	634	NUM
cana-2408	151	9	,	,	PUNCT
cana-2408	151	10	2016	2016	NUM
cana-2408	151	11	.	.	PUNCT
cana-2408	152	1	[	[	X
cana-2408	152	2	11	11	NUM
cana-2408	152	3	]	]	PUNCT
cana-2408	152	4	m.	m.	PROPN
cana-2408	152	5	saravanan	saravanan	PROPN
cana-2408	152	6	,	,	PUNCT
cana-2408	152	7	r.	r.	PROPN
cana-2408	152	8	sujatha	sujatha	PROPN
cana-2408	152	9	,	,	PUNCT
cana-2408	152	10	r.	r.	PROPN
cana-2408	152	11	sundareswaran	sundareswaran	PROPN
cana-2408	152	12	,	,	PUNCT
cana-2408	152	13	and	and	CCONJ
cana-2408	152	14	m.	m.	PROPN
cana-2408	152	15	s.	s.	PROPN
cana-2408	152	16	balasubramanian	balasubramanian	PROPN
cana-2408	152	17	,	,	PUNCT
cana-2408	152	18	application	application	NOUN
cana-2408	152	19	of	of	ADP
cana-2408	152	20	domination	domination	NOUN
cana-2408	152	21	integrity	integrity	NOUN
cana-2408	152	22	of	of	ADP
cana-2408	152	23	graphs	graph	NOUN
cana-2408	152	24	in	in	ADP
cana-2408	152	25	pmu	pmu	ADJ
cana-2408	152	26	placement	placement	NOUN
cana-2408	152	27	in	in	ADP
cana-2408	152	28	electric	electric	ADJ
cana-2408	152	29	power	power	NOUN
cana-2408	152	30	networks	network	NOUN
cana-2408	152	31	.	.	PUNCT
cana-2408	153	1	turkish	turkish	ADJ
cana-2408	153	2	journal	journal	NOUN
cana-2408	153	3	of	of	ADP
cana-2408	153	4	electrical	electrical	ADJ
cana-2408	153	5	engineering	engineering	NOUN
cana-2408	153	6	and	and	CCONJ
cana-2408	153	7	computer	computer	NOUN
cana-2408	153	8	sciences	science	NOUN
cana-2408	153	9	,	,	PUNCT
cana-2408	153	10	26(4):2066–2076	26(4):2066–2076	NUM
cana-2408	153	11	,	,	PUNCT
cana-2408	153	12	2018	2018	NUM
cana-2408	153	13	.	.	PUNCT
cana-2408	154	1	[	[	X
cana-2408	154	2	12	12	NUM
cana-2408	154	3	]	]	PUNCT
cana-2408	154	4	j.	j.	PROPN
cana-2408	154	5	xu	xu	PROPN
cana-2408	154	6	,	,	PUNCT
cana-2408	154	7	p.	p.	PROPN
cana-2408	154	8	s.	s.	PROPN
cana-2408	154	9	fischbeck	fischbeck	PROPN
cana-2408	154	10	,	,	PUNCT
cana-2408	154	11	m.	m.	NOUN
cana-2408	154	12	j.	j.	PROPN
cana-2408	154	13	small	small	PROPN
cana-2408	154	14	,	,	PUNCT
cana-2408	154	15	j.	j.	PROPN
cana-2408	154	16	m.	m.	PROPN
cana-2408	154	17	vanbriesen	vanbriesen	PROPN
cana-2408	154	18	,	,	PUNCT
cana-2408	154	19	and	and	CCONJ
cana-2408	154	20	e.	e.	PROPN
cana-2408	154	21	casman	casman	PROPN
cana-2408	154	22	,	,	PUNCT
cana-2408	154	23	identifying	identify	VERB
cana-2408	154	24	sets	set	NOUN
cana-2408	154	25	of	of	ADP
cana-2408	154	26	key	key	ADJ
cana-2408	154	27	nodes	node	NOUN
cana-2408	154	28	for	for	ADP
cana-2408	154	29	placing	place	VERB
cana-2408	154	30	sensors	sensor	NOUN
cana-2408	154	31	in	in	ADP
cana-2408	154	32	dynamic	dynamic	ADJ
cana-2408	154	33	water	water	NOUN
cana-2408	154	34	distribution	distribution	NOUN
cana-2408	154	35	networks	network	NOUN
cana-2408	154	36	.	.	PUNCT
cana-2408	155	1	journal	journal	NOUN
cana-2408	155	2	of	of	ADP
cana-2408	155	3	water	water	NOUN
cana-2408	155	4	resources	resource	NOUN
cana-2408	155	5	planning	planning	NOUN
cana-2408	155	6	and	and	CCONJ
cana-2408	155	7	management	management	NOUN
cana-2408	155	8	,	,	PUNCT
cana-2408	155	9	134(4):378–385	134(4):378–385	NUM
cana-2408	155	10	,	,	PUNCT
cana-2408	155	11	2008	2008	NUM
cana-2408	155	12	.	.	PUNCT
cana-2408	156	1	doi	doi	NOUN
cana-2408	156	2	:	:	PUNCT
cana-2408	156	3	10.1061/(asce)0733	10.1061/(asce)0733	NUM
cana-2408	156	4	-	-	PUNCT
cana-2408	156	5	9496(2008)134:4(378	9496(2008)134:4(378	NUM
cana-2408	156	6	)	)	PUNCT
cana-2408	156	7	.	.	PUNCT
cana-2408	157	1	[	[	X
cana-2408	157	2	13	13	NUM
cana-2408	157	3	]	]	PUNCT
cana-2408	157	4	j.	j.	PROPN
cana-2408	157	5	yang	yang	PROPN
cana-2408	157	6	and	and	CCONJ
cana-2408	157	7	y.	y.	PROPN
cana-2408	157	8	chen	chen	PROPN
cana-2408	157	9	,	,	PUNCT
cana-2408	157	10	fast	fast	ADJ
cana-2408	157	11	computing	compute	VERB
cana-2408	157	12	betweenness	betweenness	NOUN
cana-2408	157	13	centrality	centrality	NOUN
cana-2408	157	14	with	with	ADP
cana-2408	157	15	virtual	virtual	ADJ
cana-2408	157	16	nodes	node	NOUN
cana-2408	157	17	on	on	ADP
cana-2408	157	18	large	large	ADJ
cana-2408	157	19	sparse	sparse	ADJ
cana-2408	157	20	networks	network	NOUN
cana-2408	157	21	.	.	PUNCT
cana-2408	158	1	plos	plos	PROPN
cana-2408	158	2	one	one	NUM
cana-2408	158	3	,	,	PUNCT
cana-2408	158	4	6(7):1–5	6(7):1–5	NUM
cana-2408	158	5	,	,	PUNCT
cana-2408	158	6	07	07	NUM
cana-2408	158	7	2011	2011	NUM
cana-2408	158	8	.	.	PUNCT
cana-2408	159	1	doi	doi	NOUN
cana-2408	159	2	:	:	PUNCT
cana-2408	159	3	10.1371	10.1371	NUM
cana-2408	159	4	/	/	SYM
cana-2408	159	5	journal	journal	NOUN