id	sid	tid	token	lemma	pos
ejpam-5753	1	1	european	european	PROPN
ejpam-5753	1	2	journal	journal	PROPN
ejpam-5753	1	3	of	of	ADP
ejpam-5753	1	4	pure	pure	ADJ
ejpam-5753	1	5	and	and	CCONJ
ejpam-5753	1	6	applied	applied	ADJ
ejpam-5753	1	7	mathematics	mathematic	NOUN
ejpam-5753	1	8	2025	2025	NUM
ejpam-5753	1	9	,	,	PUNCT
ejpam-5753	1	10	vol	vol	NOUN
ejpam-5753	1	11	.	.	PROPN
ejpam-5753	1	12	18	18	NUM
ejpam-5753	1	13	,	,	PUNCT
ejpam-5753	1	14	issue	issue	NOUN
ejpam-5753	1	15	1	1	NUM
ejpam-5753	1	16	,	,	PUNCT
ejpam-5753	1	17	article	article	NOUN
ejpam-5753	1	18	number	number	NOUN
ejpam-5753	1	19	5753	5753	NUM
ejpam-5753	1	20	issn	issn	VERB
ejpam-5753	1	21	1307	1307	NUM
ejpam-5753	1	22	-	-	SYM
ejpam-5753	1	23	5543	5543	NUM
ejpam-5753	1	24	–	–	PUNCT
ejpam-5753	1	25	ejpam.com	ejpam.com	X
ejpam-5753	1	26	published	publish	VERB
ejpam-5753	1	27	by	by	ADP
ejpam-5753	1	28	new	new	PROPN
ejpam-5753	1	29	york	york	PROPN
ejpam-5753	1	30	business	business	PROPN
ejpam-5753	1	31	global	global	ADJ
ejpam-5753	1	32	optimal	optimal	ADJ
ejpam-5753	1	33	placement	placement	NOUN
ejpam-5753	1	34	of	of	ADP
ejpam-5753	1	35	pmus	pmus	NOUN
ejpam-5753	1	36	using	use	VERB
ejpam-5753	1	37	k	k	ADJ
ejpam-5753	1	38	-	-	PUNCT
ejpam-5753	1	39	power	power	NOUN
ejpam-5753	1	40	domination	domination	NOUN
ejpam-5753	1	41	number	number	NOUN
ejpam-5753	1	42	in	in	ADP
ejpam-5753	1	43	grid	grid	NOUN
ejpam-5753	1	44	networks	network	NOUN
ejpam-5753	1	45	j.	j.	PROPN
ejpam-5753	1	46	anitha1	anitha1	PROPN
ejpam-5753	1	47	,	,	PUNCT
ejpam-5753	1	48	r.	r.	PROPN
ejpam-5753	1	49	manimegalai2	manimegalai2	PROPN
ejpam-5753	1	50	,	,	PUNCT
ejpam-5753	1	51	s.	s.	PROPN
ejpam-5753	1	52	nithishkumar2	nithishkumar2	PROPN
ejpam-5753	1	53	,	,	PUNCT
ejpam-5753	1	54	r.	r.	PROPN
ejpam-5753	1	55	arthi2	arthi2	PROPN
ejpam-5753	1	56	,	,	PUNCT
ejpam-5753	1	57	v.	v.	ADP
ejpam-5753	1	58	govindan3	govindan3	PROPN
ejpam-5753	1	59	,	,	PUNCT
ejpam-5753	1	60	siriluk	siriluk	NOUN
ejpam-5753	1	61	donganont4,∗	donganont4,∗	NOUN
ejpam-5753	1	62	1	1	NUM
ejpam-5753	1	63	department	department	NOUN
ejpam-5753	1	64	of	of	ADP
ejpam-5753	1	65	mathematics	mathematic	NOUN
ejpam-5753	1	66	,	,	PUNCT
ejpam-5753	1	67	rajalakshmi	rajalakshmi	PROPN
ejpam-5753	1	68	institute	institute	PROPN
ejpam-5753	1	69	of	of	ADP
ejpam-5753	1	70	technology	technology	PROPN
ejpam-5753	1	71	,	,	PUNCT
ejpam-5753	1	72	chennai-600	chennai-600	NOUN
ejpam-5753	1	73	124	124	NUM
ejpam-5753	1	74	,	,	PUNCT
ejpam-5753	1	75	tamil	tamil	PROPN
ejpam-5753	1	76	nadu	nadu	PROPN
ejpam-5753	1	77	,	,	PUNCT
ejpam-5753	1	78	india	india	PROPN
ejpam-5753	1	79	.	.	PROPN
ejpam-5753	1	80	2	2	NUM
ejpam-5753	1	81	department	department	NOUN
ejpam-5753	1	82	of	of	ADP
ejpam-5753	1	83	computer	computer	NOUN
ejpam-5753	1	84	science	science	NOUN
ejpam-5753	1	85	and	and	CCONJ
ejpam-5753	1	86	engineering	engineering	NOUN
ejpam-5753	1	87	,	,	PUNCT
ejpam-5753	1	88	psg	psg	PROPN
ejpam-5753	1	89	institute	institute	PROPN
ejpam-5753	1	90	of	of	ADP
ejpam-5753	1	91	technology	technology	PROPN
ejpam-5753	1	92	and	and	CCONJ
ejpam-5753	1	93	applied	apply	VERB
ejpam-5753	1	94	research	research	NOUN
ejpam-5753	1	95	,	,	PUNCT
ejpam-5753	1	96	coimbatore-641	coimbatore-641	PROPN
ejpam-5753	1	97	062	062	NUM
ejpam-5753	1	98	,	,	PUNCT
ejpam-5753	1	99	tamil	tamil	PROPN
ejpam-5753	1	100	nadu	nadu	PROPN
ejpam-5753	1	101	,	,	PUNCT
ejpam-5753	1	102	india	india	PROPN
ejpam-5753	1	103	.	.	PROPN
ejpam-5753	2	1	3	3	NUM
ejpam-5753	2	2	department	department	NOUN
ejpam-5753	2	3	of	of	ADP
ejpam-5753	2	4	mathematics	mathematic	NOUN
ejpam-5753	2	5	,	,	PUNCT
ejpam-5753	2	6	hindustan	hindustan	PROPN
ejpam-5753	2	7	institute	institute	PROPN
ejpam-5753	2	8	of	of	ADP
ejpam-5753	2	9	technology	technology	PROPN
ejpam-5753	2	10	and	and	CCONJ
ejpam-5753	2	11	science	science	NOUN
ejpam-5753	2	12	,	,	PUNCT
ejpam-5753	2	13	chennai	chennai	PROPN
ejpam-5753	2	14	,	,	PUNCT
ejpam-5753	2	15	tamil	tamil	PROPN
ejpam-5753	2	16	nadu	nadu	PROPN
ejpam-5753	2	17	,	,	PUNCT
ejpam-5753	2	18	india	india	PROPN
ejpam-5753	2	19	.	.	PROPN
ejpam-5753	2	20	4	4	NUM
ejpam-5753	2	21	school	school	NOUN
ejpam-5753	2	22	of	of	ADP
ejpam-5753	2	23	science	science	NOUN
ejpam-5753	2	24	,	,	PUNCT
ejpam-5753	2	25	university	university	NOUN
ejpam-5753	2	26	of	of	ADP
ejpam-5753	2	27	phayao	phayao	NOUN
ejpam-5753	2	28	,	,	PUNCT
ejpam-5753	2	29	phayao	phayao	NOUN
ejpam-5753	2	30	56000	56000	NUM
ejpam-5753	2	31	,	,	PUNCT
ejpam-5753	2	32	thailand	thailand	PROPN
ejpam-5753	2	33	.	.	PUNCT
ejpam-5753	3	1	abstract	abstract	PROPN
ejpam-5753	3	2	.	.	PUNCT
ejpam-5753	4	1	the	the	DET
ejpam-5753	4	2	problem	problem	NOUN
ejpam-5753	4	3	of	of	ADP
ejpam-5753	4	4	monitoring	monitor	VERB
ejpam-5753	4	5	an	an	DET
ejpam-5753	4	6	electric	electric	ADJ
ejpam-5753	4	7	power	power	NOUN
ejpam-5753	4	8	system	system	NOUN
ejpam-5753	4	9	by	by	ADP
ejpam-5753	4	10	placing	place	VERB
ejpam-5753	4	11	phasor	phasor	NOUN
ejpam-5753	4	12	measurement	measurement	NOUN
ejpam-5753	4	13	units	unit	NOUN
ejpam-5753	4	14	in	in	ADP
ejpam-5753	4	15	the	the	DET
ejpam-5753	4	16	system	system	NOUN
ejpam-5753	4	17	as	as	ADP
ejpam-5753	4	18	possible	possible	ADJ
ejpam-5753	4	19	is	be	AUX
ejpam-5753	4	20	closely	closely	ADV
ejpam-5753	4	21	related	relate	VERB
ejpam-5753	4	22	to	to	ADP
ejpam-5753	4	23	the	the	DET
ejpam-5753	4	24	well	well	ADV
ejpam-5753	4	25	-	-	PUNCT
ejpam-5753	4	26	known	know	VERB
ejpam-5753	4	27	power	power	NOUN
ejpam-5753	4	28	domination	domination	NOUN
ejpam-5753	4	29	problem	problem	NOUN
ejpam-5753	4	30	in	in	ADP
ejpam-5753	4	31	graphs	graph	NOUN
ejpam-5753	4	32	.	.	PUNCT
ejpam-5753	5	1	in	in	ADP
ejpam-5753	5	2	this	this	DET
ejpam-5753	5	3	paper	paper	NOUN
ejpam-5753	5	4	,	,	PUNCT
ejpam-5753	5	5	we	we	PRON
ejpam-5753	5	6	compute	compute	VERB
ejpam-5753	5	7	,	,	PUNCT
ejpam-5753	5	8	2	2	NUM
ejpam-5753	5	9	-	-	PUNCT
ejpam-5753	5	10	power	power	NOUN
ejpam-5753	5	11	domination	domination	NOUN
ejpam-5753	5	12	number	number	NOUN
ejpam-5753	5	13	for	for	ADP
ejpam-5753	5	14	fully	fully	ADV
ejpam-5753	5	15	connected	connect	VERB
ejpam-5753	5	16	cubic	cubic	ADJ
ejpam-5753	5	17	networks	network	NOUN
ejpam-5753	5	18	and	and	CCONJ
ejpam-5753	5	19	also	also	ADV
ejpam-5753	5	20	developed	develop	VERB
ejpam-5753	5	21	k	k	ADJ
ejpam-5753	5	22	-	-	PUNCT
ejpam-5753	5	23	power	power	NOUN
ejpam-5753	5	24	domination	domination	NOUN
ejpam-5753	5	25	algorithm	algorithm	NOUN
ejpam-5753	5	26	for	for	ADP
ejpam-5753	5	27	specific	specific	ADJ
ejpam-5753	5	28	networks	network	NOUN
ejpam-5753	5	29	and	and	CCONJ
ejpam-5753	5	30	evaluates	evaluate	VERB
ejpam-5753	5	31	its	its	PRON
ejpam-5753	5	32	performance	performance	NOUN
ejpam-5753	5	33	across	across	ADP
ejpam-5753	5	34	these	these	DET
ejpam-5753	5	35	networks	network	NOUN
ejpam-5753	5	36	.	.	PUNCT
ejpam-5753	6	1	furthermore	furthermore	ADV
ejpam-5753	6	2	,	,	PUNCT
ejpam-5753	6	3	the	the	DET
ejpam-5753	6	4	algorithm	algorithm	NOUN
ejpam-5753	6	5	’s	’s	PART
ejpam-5753	6	6	outputs	output	NOUN
ejpam-5753	6	7	are	be	AUX
ejpam-5753	6	8	used	use	VERB
ejpam-5753	6	9	for	for	ADP
ejpam-5753	6	10	various	various	ADJ
ejpam-5753	6	11	other	other	ADJ
ejpam-5753	6	12	applications	application	NOUN
ejpam-5753	6	13	such	such	ADJ
ejpam-5753	6	14	as	as	ADP
ejpam-5753	6	15	fault	fault	NOUN
ejpam-5753	6	16	detection	detection	NOUN
ejpam-5753	6	17	and	and	CCONJ
ejpam-5753	6	18	localization	localization	NOUN
ejpam-5753	6	19	,	,	PUNCT
ejpam-5753	6	20	state	state	NOUN
ejpam-5753	6	21	identification	identification	NOUN
ejpam-5753	6	22	,	,	PUNCT
ejpam-5753	6	23	accuracy	accuracy	NOUN
ejpam-5753	6	24	improvement	improvement	NOUN
ejpam-5753	6	25	,	,	PUNCT
ejpam-5753	6	26	and	and	CCONJ
ejpam-5753	6	27	cyber	cyber	ADJ
ejpam-5753	6	28	security	security	NOUN
ejpam-5753	6	29	enhancement	enhancement	NOUN
ejpam-5753	6	30	,	,	PUNCT
ejpam-5753	6	31	thereby	thereby	ADV
ejpam-5753	6	32	making	make	VERB
ejpam-5753	6	33	it	it	PRON
ejpam-5753	6	34	a	a	DET
ejpam-5753	6	35	valuable	valuable	ADJ
ejpam-5753	6	36	tool	tool	NOUN
ejpam-5753	6	37	for	for	ADP
ejpam-5753	6	38	utilities	utility	NOUN
ejpam-5753	6	39	and	and	CCONJ
ejpam-5753	6	40	grid	grid	NOUN
ejpam-5753	6	41	operators	operator	NOUN
ejpam-5753	6	42	.	.	PUNCT
ejpam-5753	7	1	2020	2020	NUM
ejpam-5753	7	2	mathematics	mathematic	NOUN
ejpam-5753	7	3	subject	subject	NOUN
ejpam-5753	7	4	classifications	classification	NOUN
ejpam-5753	7	5	:	:	PUNCT
ejpam-5753	7	6	05c69	05c69	NUM
ejpam-5753	7	7	,	,	PUNCT
ejpam-5753	7	8	90b10	90b10	NUM
ejpam-5753	7	9	,	,	PUNCT
ejpam-5753	7	10	94c15	94c15	NUM
ejpam-5753	7	11	,	,	PUNCT
ejpam-5753	7	12	68m10	68m10	NUM
ejpam-5753	7	13	,	,	PUNCT
ejpam-5753	7	14	05c85	05c85	DET
ejpam-5753	7	15	key	key	ADJ
ejpam-5753	7	16	words	word	NOUN
ejpam-5753	7	17	and	and	CCONJ
ejpam-5753	7	18	phrases	phrase	NOUN
ejpam-5753	7	19	:	:	PUNCT
ejpam-5753	7	20	optimal	optimal	ADJ
ejpam-5753	7	21	pmus	pmus	NOUN
ejpam-5753	7	22	placement	placement	NOUN
ejpam-5753	7	23	,	,	PUNCT
ejpam-5753	7	24	dominating	dominating	NOUN
ejpam-5753	7	25	set	set	NOUN
ejpam-5753	7	26	,	,	PUNCT
ejpam-5753	7	27	facility	facility	NOUN
ejpam-5753	7	28	location	location	NOUN
ejpam-5753	7	29	problem	problem	NOUN
ejpam-5753	7	30	,	,	PUNCT
ejpam-5753	7	31	electrical	electrical	ADJ
ejpam-5753	7	32	power	power	NOUN
ejpam-5753	7	33	system	system	NOUN
ejpam-5753	7	34	,	,	PUNCT
ejpam-5753	7	35	power	power	NOUN
ejpam-5753	7	36	grid	grid	NOUN
ejpam-5753	7	37	monitoring	monitor	VERB
ejpam-5753	7	38	1	1	NUM
ejpam-5753	7	39	.	.	PUNCT
ejpam-5753	8	1	introduction	introduction	NOUN
ejpam-5753	8	2	optimal	optimal	ADJ
ejpam-5753	8	3	pmus	pmus	PROPN
ejpam-5753	8	4	placement(opp	placement(opp	PROPN
ejpam-5753	8	5	)	)	PUNCT
ejpam-5753	8	6	is	be	AUX
ejpam-5753	8	7	viewed	view	VERB
ejpam-5753	8	8	as	as	ADP
ejpam-5753	8	9	an	an	DET
ejpam-5753	8	10	optimization	optimization	NOUN
ejpam-5753	8	11	problem	problem	NOUN
ejpam-5753	8	12	.	.	PUNCT
ejpam-5753	9	1	the	the	DET
ejpam-5753	9	2	task	task	NOUN
ejpam-5753	9	3	is	be	AUX
ejpam-5753	9	4	to	to	PART
ejpam-5753	9	5	find	find	VERB
ejpam-5753	9	6	the	the	DET
ejpam-5753	9	7	minimum	minimum	ADJ
ejpam-5753	9	8	possible	possible	ADJ
ejpam-5753	9	9	set	set	NOUN
ejpam-5753	9	10	of	of	ADP
ejpam-5753	9	11	pmus	pmus	NOUN
ejpam-5753	9	12	to	to	PART
ejpam-5753	9	13	monitor	monitor	VERB
ejpam-5753	9	14	the	the	DET
ejpam-5753	9	15	entire	entire	ADJ
ejpam-5753	9	16	electric	electric	ADJ
ejpam-5753	9	17	power	power	NOUN
ejpam-5753	9	18	system	system	NOUN
ejpam-5753	9	19	.	.	PUNCT
ejpam-5753	10	1	an	an	DET
ejpam-5753	10	2	electrical	electrical	ADJ
ejpam-5753	10	3	line	line	NOUN
ejpam-5753	10	4	that	that	PRON
ejpam-5753	10	5	connects	connect	VERB
ejpam-5753	10	6	a	a	DET
ejpam-5753	10	7	pair	pair	NOUN
ejpam-5753	10	8	of	of	ADP
ejpam-5753	10	9	electric	electric	ADJ
ejpam-5753	10	10	nodes	node	NOUN
ejpam-5753	10	11	is	be	AUX
ejpam-5753	10	12	represented	represent	VERB
ejpam-5753	10	13	by	by	ADP
ejpam-5753	10	14	each	each	DET
ejpam-5753	10	15	edge	edge	NOUN
ejpam-5753	10	16	in	in	ADP
ejpam-5753	10	17	a	a	DET
ejpam-5753	10	18	graphical	graphical	ADJ
ejpam-5753	10	19	representation	representation	NOUN
ejpam-5753	10	20	g(v	g(v	PROPN
ejpam-5753	10	21	,	,	PUNCT
ejpam-5753	10	22	e	e	NOUN
ejpam-5753	10	23	)	)	PUNCT
ejpam-5753	10	24	of	of	ADP
ejpam-5753	10	25	the	the	DET
ejpam-5753	10	26	electric	electric	ADJ
ejpam-5753	10	27	power	power	NOUN
ejpam-5753	10	28	network	network	NOUN
ejpam-5753	10	29	.	.	PUNCT
ejpam-5753	11	1	every	every	DET
ejpam-5753	11	2	vertex	vertex	NOUN
ejpam-5753	11	3	of	of	ADP
ejpam-5753	11	4	the	the	DET
ejpam-5753	11	5	network	network	NOUN
ejpam-5753	11	6	symbolizes	symbolize	VERB
ejpam-5753	11	7	an	an	DET
ejpam-5753	11	8	electric	electric	ADJ
ejpam-5753	11	9	node	node	NOUN
ejpam-5753	11	10	.	.	PUNCT
ejpam-5753	12	1	pmu	pmu	PROPN
ejpam-5753	12	2	placement	placement	NOUN
ejpam-5753	12	3	with	with	ADP
ejpam-5753	12	4	a	a	DET
ejpam-5753	12	5	view	view	NOUN
ejpam-5753	12	6	to	to	ADP
ejpam-5753	12	7	measuring	measure	VERB
ejpam-5753	12	8	the	the	DET
ejpam-5753	12	9	state	state	NOUN
ejpam-5753	12	10	variable	variable	NOUN
ejpam-5753	12	11	for	for	ADP
ejpam-5753	12	12	the	the	DET
ejpam-5753	12	13	vertex	vertex	NOUN
ejpam-5753	12	14	at	at	ADP
ejpam-5753	12	15	which	which	PRON
ejpam-5753	12	16	it	it	PRON
ejpam-5753	12	17	is	be	AUX
ejpam-5753	12	18	place	place	NOUN
ejpam-5753	12	19	is	be	AUX
ejpam-5753	12	20	the	the	DET
ejpam-5753	12	21	goal	goal	NOUN
ejpam-5753	12	22	.	.	PUNCT
ejpam-5753	13	1	it	it	PRON
ejpam-5753	13	2	also	also	ADV
ejpam-5753	13	3	helps	help	VERB
ejpam-5753	13	4	to	to	PART
ejpam-5753	13	5	ensure	ensure	VERB
ejpam-5753	13	6	that	that	SCONJ
ejpam-5753	13	7	the	the	DET
ejpam-5753	13	8	system	system	NOUN
ejpam-5753	13	9	is	be	AUX
ejpam-5753	13	10	running	run	VERB
ejpam-5753	13	11	efficiently	efficiently	ADV
ejpam-5753	13	12	and	and	CCONJ
ejpam-5753	13	13	that	that	PRON
ejpam-5753	13	14	energy	energy	NOUN
ejpam-5753	13	15	is	be	AUX
ejpam-5753	13	16	being	be	AUX
ejpam-5753	13	17	used	use	VERB
ejpam-5753	13	18	in	in	ADP
ejpam-5753	13	19	a	a	DET
ejpam-5753	13	20	cost	cost	NOUN
ejpam-5753	13	21	-	-	PUNCT
ejpam-5753	13	22	effective	effective	ADJ
ejpam-5753	13	23	manner	manner	NOUN
ejpam-5753	13	24	,	,	PUNCT
ejpam-5753	13	25	∗corresponding	∗corresponde	VERB
ejpam-5753	13	26	author	author	NOUN
ejpam-5753	13	27	.	.	PUNCT
ejpam-5753	14	1	doi	doi	NOUN
ejpam-5753	14	2	:	:	PUNCT
ejpam-5753	14	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5753	https://doi.org/10.29020/nybg.ejpam.v18i1.5753	ADJ
ejpam-5753	14	4	email	email	NOUN
ejpam-5753	14	5	addresses	address	NOUN
ejpam-5753	14	6	:	:	PUNCT
ejpam-5753	14	7	anithaharish78@gmail.com	anithaharish78@gmail.com	PROPN
ejpam-5753	14	8	(	(	PUNCT
ejpam-5753	14	9	j.	j.	PROPN
ejpam-5753	14	10	anitha	anitha	PROPN
ejpam-5753	14	11	)	)	PUNCT
ejpam-5753	14	12	,	,	PUNCT
ejpam-5753	14	13	vgovindandr@gmail.com	vgovindandr@gmail.com	X
ejpam-5753	14	14	(	(	PUNCT
ejpam-5753	14	15	v.	v.	ADP
ejpam-5753	14	16	govindan	govindan	PROPN
ejpam-5753	14	17	)	)	PUNCT
ejpam-5753	14	18	,	,	PUNCT
ejpam-5753	14	19	siriluk.pa@up.ac.th	siriluk.pa@up.ac.th	PROPN
ejpam-5753	14	20	(	(	PUNCT
ejpam-5753	14	21	s.	s.	PROPN
ejpam-5753	14	22	donganont	donganont	PROPN
ejpam-5753	14	23	)	)	PUNCT
ejpam-5753	14	24	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5753	14	25	1	1	NUM
ejpam-5753	14	26	copyright	copyright	NOUN
ejpam-5753	14	27	:	:	PUNCT
ejpam-5753	15	1	©	©	PROPN
ejpam-5753	15	2	2025	2025	NUM
ejpam-5753	15	3	the	the	DET
ejpam-5753	15	4	author(s	author(s	NOUN
ejpam-5753	15	5	)	)	PUNCT
ejpam-5753	15	6	.	.	PUNCT
ejpam-5753	16	1	(	(	PUNCT
ejpam-5753	16	2	cc	cc	NOUN
ejpam-5753	16	3	by	by	ADP
ejpam-5753	16	4	-	-	PUNCT
ejpam-5753	16	5	nc	nc	PROPN
ejpam-5753	16	6	4.0	4.0	NUM
ejpam-5753	16	7	)	)	PUNCT
ejpam-5753	16	8	j.	j.	PROPN
ejpam-5753	16	9	anitha	anitha	PROPN
ejpam-5753	16	10	et	et	PROPN
ejpam-5753	16	11	al	al	PROPN
ejpam-5753	16	12	.	.	PUNCT
ejpam-5753	16	13	/	/	SYM
ejpam-5753	16	14	eur	eur	PROPN
ejpam-5753	16	15	.	.	PUNCT
ejpam-5753	17	1	j.	j.	PROPN
ejpam-5753	17	2	pure	pure	PROPN
ejpam-5753	17	3	appl	appl	PROPN
ejpam-5753	17	4	.	.	PROPN
ejpam-5753	17	5	math	math	PROPN
ejpam-5753	17	6	,	,	PUNCT
ejpam-5753	17	7	18	18	NUM
ejpam-5753	17	8	(	(	PUNCT
ejpam-5753	17	9	1	1	NUM
ejpam-5753	17	10	)	)	PUNCT
ejpam-5753	17	11	(	(	PUNCT
ejpam-5753	17	12	2025	2025	NUM
ejpam-5753	17	13	)	)	PUNCT
ejpam-5753	17	14	,	,	PUNCT
ejpam-5753	17	15	5753	5753	NUM
ejpam-5753	17	16	2	2	NUM
ejpam-5753	17	17	of	of	ADP
ejpam-5753	17	18	16	16	NUM
ejpam-5753	17	19	which	which	PRON
ejpam-5753	17	20	is	be	AUX
ejpam-5753	17	21	calculated	calculate	VERB
ejpam-5753	17	22	by	by	ADP
ejpam-5753	17	23	a	a	DET
ejpam-5753	17	24	number	number	NOUN
ejpam-5753	17	25	of	of	ADP
ejpam-5753	17	26	crucial	crucial	ADJ
ejpam-5753	17	27	unknowns	unknown	NOUN
ejpam-5753	17	28	including	include	VERB
ejpam-5753	17	29	the	the	DET
ejpam-5753	17	30	phase	phase	NOUN
ejpam-5753	17	31	angle	angle	NOUN
ejpam-5753	17	32	of	of	ADP
ejpam-5753	17	33	machine	machine	NOUN
ejpam-5753	17	34	at	at	ADP
ejpam-5753	17	35	generators	generator	NOUN
ejpam-5753	17	36	and	and	CCONJ
ejpam-5753	17	37	the	the	DET
ejpam-5753	17	38	magnitude	magnitude	NOUN
ejpam-5753	17	39	of	of	ADP
ejpam-5753	17	40	the	the	DET
ejpam-5753	17	41	voltage	voltage	NOUN
ejpam-5753	17	42	at	at	ADP
ejpam-5753	17	43	loads	load	NOUN
ejpam-5753	17	44	.	.	PUNCT
ejpam-5753	18	1	the	the	DET
ejpam-5753	18	2	concept	concept	NOUN
ejpam-5753	18	3	of	of	ADP
ejpam-5753	18	4	k	k	PROPN
ejpam-5753	18	5	-	-	NOUN
ejpam-5753	18	6	pd	pd	NOUN
ejpam-5753	18	7	in	in	ADP
ejpam-5753	18	8	graphs	graph	NOUN
ejpam-5753	18	9	encapsulates	encapsulate	VERB
ejpam-5753	18	10	the	the	DET
ejpam-5753	18	11	challenge	challenge	NOUN
ejpam-5753	18	12	of	of	ADP
ejpam-5753	18	13	achieving	achieve	VERB
ejpam-5753	18	14	comprehensive	comprehensive	ADJ
ejpam-5753	18	15	system	system	NOUN
ejpam-5753	18	16	monitoring	monitor	VERB
ejpam-5753	18	17	with	with	ADP
ejpam-5753	18	18	as	as	ADV
ejpam-5753	18	19	few	few	ADJ
ejpam-5753	18	20	pmus	pmus	NOUN
ejpam-5753	18	21	as	as	ADP
ejpam-5753	18	22	possible	possible	ADJ
ejpam-5753	18	23	.	.	PUNCT
ejpam-5753	19	1	despite	despite	SCONJ
ejpam-5753	19	2	recent	recent	ADJ
ejpam-5753	19	3	cost	cost	NOUN
ejpam-5753	19	4	reductions	reduction	NOUN
ejpam-5753	19	5	,	,	PUNCT
ejpam-5753	19	6	comprehensive	comprehensive	ADJ
ejpam-5753	19	7	pmu	pmu	NOUN
ejpam-5753	19	8	deployment	deployment	NOUN
ejpam-5753	19	9	across	across	ADP
ejpam-5753	19	10	all	all	DET
ejpam-5753	19	11	electric	electric	ADJ
ejpam-5753	19	12	grid	grid	NOUN
ejpam-5753	19	13	nodes	node	NOUN
ejpam-5753	19	14	is	be	AUX
ejpam-5753	19	15	hampered	hamper	VERB
ejpam-5753	19	16	by	by	ADP
ejpam-5753	19	17	several	several	ADJ
ejpam-5753	19	18	challenges	challenge	NOUN
ejpam-5753	19	19	.	.	PUNCT
ejpam-5753	20	1	as	as	ADP
ejpam-5753	20	2	per	per	ADP
ejpam-5753	20	3	industry	industry	NOUN
ejpam-5753	20	4	protocols	protocol	NOUN
ejpam-5753	20	5	,	,	PUNCT
ejpam-5753	20	6	pmus	pmus	PROPN
ejpam-5753	20	7	are	be	AUX
ejpam-5753	20	8	routinely	routinely	ADV
ejpam-5753	20	9	placed	place	VERB
ejpam-5753	20	10	in	in	ADP
ejpam-5753	20	11	substations	substation	NOUN
ejpam-5753	20	12	during	during	ADP
ejpam-5753	20	13	refurbishment	refurbishment	NOUN
ejpam-5753	20	14	.	.	PUNCT
ejpam-5753	21	1	however	however	ADV
ejpam-5753	21	2	,	,	PUNCT
ejpam-5753	21	3	strategic	strategic	ADJ
ejpam-5753	21	4	placement	placement	NOUN
ejpam-5753	21	5	of	of	ADP
ejpam-5753	21	6	pmus	pmus	NOUN
ejpam-5753	21	7	at	at	ADP
ejpam-5753	21	8	key	key	ADJ
ejpam-5753	21	9	buses	bus	NOUN
ejpam-5753	21	10	is	be	AUX
ejpam-5753	21	11	recommended	recommend	VERB
ejpam-5753	21	12	to	to	PART
ejpam-5753	21	13	ensure	ensure	VERB
ejpam-5753	21	14	system	system	NOUN
ejpam-5753	21	15	observability	observability	NOUN
ejpam-5753	21	16	.	.	PUNCT
ejpam-5753	22	1	power	power	NOUN
ejpam-5753	22	2	domination	domination	NOUN
ejpam-5753	22	3	algorithms	algorithm	NOUN
ejpam-5753	22	4	are	be	AUX
ejpam-5753	22	5	used	use	VERB
ejpam-5753	22	6	to	to	PART
ejpam-5753	22	7	place	place	VERB
ejpam-5753	22	8	pmus	pmus	NOUN
ejpam-5753	22	9	in	in	ADP
ejpam-5753	22	10	electrical	electrical	ADJ
ejpam-5753	22	11	grid	grid	NOUN
ejpam-5753	22	12	networks	network	NOUN
ejpam-5753	22	13	in	in	ADP
ejpam-5753	22	14	the	the	DET
ejpam-5753	22	15	best	good	ADJ
ejpam-5753	22	16	possible	possible	ADJ
ejpam-5753	22	17	way	way	NOUN
ejpam-5753	22	18	to	to	PART
ejpam-5753	22	19	monitor	monitor	VERB
ejpam-5753	22	20	the	the	DET
ejpam-5753	22	21	power	power	NOUN
ejpam-5753	22	22	system	system	NOUN
ejpam-5753	22	23	.	.	PUNCT
ejpam-5753	23	1	a	a	DET
ejpam-5753	23	2	subset	subset	NOUN
ejpam-5753	23	3	s	s	VERB
ejpam-5753	23	4	⊆	⊆	NUM
ejpam-5753	23	5	v	v	NOUN
ejpam-5753	23	6	in	in	ADP
ejpam-5753	23	7	a	a	DET
ejpam-5753	23	8	graph	graph	NOUN
ejpam-5753	23	9	is	be	AUX
ejpam-5753	23	10	said	say	VERB
ejpam-5753	23	11	to	to	PART
ejpam-5753	23	12	be	be	AUX
ejpam-5753	23	13	a	a	DET
ejpam-5753	23	14	dominating	dominating	NOUN
ejpam-5753	23	15	set	set	NOUN
ejpam-5753	23	16	g	g	NOUN
ejpam-5753	23	17	if	if	SCONJ
ejpam-5753	23	18	every	every	DET
ejpam-5753	23	19	vertex	vertex	NOUN
ejpam-5753	23	20	in	in	ADP
ejpam-5753	23	21	v	v	NOUN
ejpam-5753	23	22	is	be	AUX
ejpam-5753	23	23	either	either	CCONJ
ejpam-5753	23	24	in	in	ADP
ejpam-5753	23	25	s	s	PRON
ejpam-5753	23	26	or	or	CCONJ
ejpam-5753	23	27	is	be	AUX
ejpam-5753	23	28	adjacent	adjacent	ADJ
ejpam-5753	23	29	to	to	ADP
ejpam-5753	23	30	some	some	DET
ejpam-5753	23	31	vertices	vertex	NOUN
ejpam-5753	23	32	in	in	ADP
ejpam-5753	23	33	s	s	NOUN
ejpam-5753	23	34	[	[	X
ejpam-5753	23	35	11	11	NUM
ejpam-5753	23	36	]	]	PUNCT
ejpam-5753	23	37	.	.	PUNCT
ejpam-5753	24	1	in	in	ADP
ejpam-5753	24	2	2002	2002	NUM
ejpam-5753	24	3	,	,	PUNCT
ejpam-5753	24	4	hayens	hayen	VERB
ejpam-5753	24	5	et	et	PROPN
ejpam-5753	24	6	al	al	PROPN
ejpam-5753	24	7	.	.	PUNCT
ejpam-5753	25	1	[	[	X
ejpam-5753	25	2	11	11	NUM
ejpam-5753	25	3	]	]	PUNCT
ejpam-5753	25	4	considered	consider	VERB
ejpam-5753	25	5	this	this	DET
ejpam-5753	25	6	problem	problem	NOUN
ejpam-5753	25	7	as	as	ADP
ejpam-5753	25	8	the	the	DET
ejpam-5753	25	9	power	power	NOUN
ejpam-5753	25	10	domination	domination	NOUN
ejpam-5753	25	11	problem	problem	NOUN
ejpam-5753	25	12	in	in	ADP
ejpam-5753	25	13	graphs	graph	NOUN
ejpam-5753	25	14	which	which	PRON
ejpam-5753	25	15	is	be	AUX
ejpam-5753	25	16	a	a	DET
ejpam-5753	25	17	variation	variation	NOUN
ejpam-5753	25	18	of	of	ADP
ejpam-5753	25	19	the	the	DET
ejpam-5753	25	20	domination	domination	NOUN
ejpam-5753	25	21	problem	problem	NOUN
ejpam-5753	25	22	.	.	PUNCT
ejpam-5753	26	1	an	an	DET
ejpam-5753	26	2	electric	electric	ADJ
ejpam-5753	26	3	power	power	NOUN
ejpam-5753	26	4	network	network	NOUN
ejpam-5753	26	5	is	be	AUX
ejpam-5753	26	6	designed	design	VERB
ejpam-5753	26	7	by	by	ADP
ejpam-5753	26	8	a	a	DET
ejpam-5753	26	9	graph	graph	NOUN
ejpam-5753	26	10	where	where	SCONJ
ejpam-5753	26	11	the	the	DET
ejpam-5753	26	12	vertices	vertex	NOUN
ejpam-5753	26	13	represent	represent	VERB
ejpam-5753	26	14	the	the	DET
ejpam-5753	26	15	electric	electric	ADJ
ejpam-5753	26	16	nodes	node	NOUN
ejpam-5753	26	17	and	and	CCONJ
ejpam-5753	26	18	the	the	DET
ejpam-5753	26	19	edges	edge	NOUN
ejpam-5753	26	20	are	be	AUX
ejpam-5753	26	21	associated	associate	VERB
ejpam-5753	26	22	with	with	ADP
ejpam-5753	26	23	the	the	DET
ejpam-5753	26	24	transmission	transmission	NOUN
ejpam-5753	26	25	lines	line	NOUN
ejpam-5753	26	26	joining	join	VERB
ejpam-5753	26	27	two	two	NUM
ejpam-5753	26	28	electrical	electrical	ADJ
ejpam-5753	26	29	nodes	node	NOUN
ejpam-5753	26	30	.	.	PUNCT
ejpam-5753	27	1	in	in	ADP
ejpam-5753	27	2	2012	2012	NUM
ejpam-5753	27	3	,	,	PUNCT
ejpam-5753	27	4	paul	paul	PROPN
ejpam-5753	27	5	dorbec	dorbec	PROPN
ejpam-5753	27	6	et	et	PROPN
ejpam-5753	27	7	al.[8	al.[8	PROPN
ejpam-5753	27	8	]	]	PUNCT
ejpam-5753	27	9	presented	present	VERB
ejpam-5753	27	10	the	the	DET
ejpam-5753	27	11	idea	idea	NOUN
ejpam-5753	27	12	of	of	ADP
ejpam-5753	27	13	k	k	ADJ
ejpam-5753	27	14	-	-	PUNCT
ejpam-5753	27	15	power	power	NOUN
ejpam-5753	27	16	domination	domination	NOUN
ejpam-5753	27	17	problem	problem	NOUN
ejpam-5753	27	18	which	which	PRON
ejpam-5753	27	19	is	be	AUX
ejpam-5753	27	20	a	a	DET
ejpam-5753	27	21	generalization	generalization	NOUN
ejpam-5753	27	22	of	of	ADP
ejpam-5753	27	23	power	power	NOUN
ejpam-5753	27	24	domination	domination	NOUN
ejpam-5753	27	25	problem	problem	NOUN
ejpam-5753	27	26	in	in	ADP
ejpam-5753	27	27	graphs	graph	NOUN
ejpam-5753	27	28	.	.	PUNCT
ejpam-5753	28	1	the	the	DET
ejpam-5753	28	2	notation	notation	NOUN
ejpam-5753	28	3	for	for	ADP
ejpam-5753	28	4	the	the	DET
ejpam-5753	28	5	k	k	ADJ
ejpam-5753	28	6	-	-	PUNCT
ejpam-5753	28	7	power	power	NOUN
ejpam-5753	28	8	dominating	dominating	NOUN
ejpam-5753	28	9	set	set	NOUN
ejpam-5753	28	10	is	be	AUX
ejpam-5753	28	11	γp	γp	NOUN
ejpam-5753	28	12	,	,	PUNCT
ejpam-5753	28	13	k(g	k(g	PROPN
ejpam-5753	28	14	)	)	PUNCT
ejpam-5753	28	15	.	.	PUNCT
ejpam-5753	29	1	more	more	ADV
ejpam-5753	29	2	extensive	extensive	ADJ
ejpam-5753	29	3	conditions	condition	NOUN
ejpam-5753	29	4	are	be	AUX
ejpam-5753	29	5	applied	apply	VERB
ejpam-5753	29	6	to	to	ADP
ejpam-5753	29	7	the	the	DET
ejpam-5753	29	8	monitoring	monitoring	NOUN
ejpam-5753	29	9	of	of	ADP
ejpam-5753	29	10	the	the	DET
ejpam-5753	29	11	complete	complete	ADJ
ejpam-5753	29	12	graph	graph	NOUN
ejpam-5753	29	13	g.	g.	NOUN
ejpam-5753	29	14	in	in	SCONJ
ejpam-5753	29	15	order	order	NOUN
ejpam-5753	29	16	to	to	PART
ejpam-5753	29	17	achieve	achieve	VERB
ejpam-5753	29	18	full	full	ADJ
ejpam-5753	29	19	observability	observability	NOUN
ejpam-5753	29	20	of	of	ADP
ejpam-5753	29	21	the	the	DET
ejpam-5753	29	22	electric	electric	ADJ
ejpam-5753	29	23	power	power	NOUN
ejpam-5753	29	24	system	system	NOUN
ejpam-5753	29	25	k	k	PROPN
ejpam-5753	29	26	-	-	PUNCT
ejpam-5753	29	27	power	power	NOUN
ejpam-5753	29	28	domination	domination	NOUN
ejpam-5753	29	29	algorithm	algorithm	NOUN
ejpam-5753	29	30	is	be	AUX
ejpam-5753	29	31	employed	employ	VERB
ejpam-5753	29	32	.	.	PUNCT
ejpam-5753	30	1	this	this	DET
ejpam-5753	30	2	approach	approach	NOUN
ejpam-5753	30	3	not	not	PART
ejpam-5753	30	4	only	only	ADV
ejpam-5753	30	5	enhances	enhance	VERB
ejpam-5753	30	6	monitoring	monitor	VERB
ejpam-5753	30	7	efficiency	efficiency	NOUN
ejpam-5753	30	8	but	but	CCONJ
ejpam-5753	30	9	also	also	ADV
ejpam-5753	30	10	offers	offer	VERB
ejpam-5753	30	11	a	a	DET
ejpam-5753	30	12	cost	cost	NOUN
ejpam-5753	30	13	-	-	PUNCT
ejpam-5753	30	14	effective	effective	ADJ
ejpam-5753	30	15	solution	solution	NOUN
ejpam-5753	30	16	by	by	ADP
ejpam-5753	30	17	minimizing	minimize	VERB
ejpam-5753	30	18	the	the	DET
ejpam-5753	30	19	total	total	ADJ
ejpam-5753	30	20	number	number	NOUN
ejpam-5753	30	21	of	of	ADP
ejpam-5753	30	22	pmus	pmus	NOUN
ejpam-5753	30	23	required	require	VERB
ejpam-5753	30	24	,	,	PUNCT
ejpam-5753	30	25	thus	thus	ADV
ejpam-5753	30	26	overcoming	overcome	VERB
ejpam-5753	30	27	the	the	DET
ejpam-5753	30	28	logistical	logistical	ADJ
ejpam-5753	30	29	,	,	PUNCT
ejpam-5753	30	30	financial	financial	ADJ
ejpam-5753	30	31	,	,	PUNCT
ejpam-5753	30	32	and	and	CCONJ
ejpam-5753	30	33	architectural	architectural	ADJ
ejpam-5753	30	34	challenges	challenge	NOUN
ejpam-5753	30	35	inherent	inherent	ADJ
ejpam-5753	30	36	in	in	ADP
ejpam-5753	30	37	large	large	ADJ
ejpam-5753	30	38	-	-	PUNCT
ejpam-5753	30	39	scale	scale	NOUN
ejpam-5753	30	40	pmu	pmu	NOUN
ejpam-5753	30	41	deployment	deployment	NOUN
ejpam-5753	30	42	.	.	PUNCT
ejpam-5753	31	1	1.1	1.1	NUM
ejpam-5753	31	2	.	.	PUNCT
ejpam-5753	31	3	preliminaries	preliminary	NOUN
ejpam-5753	31	4	and	and	CCONJ
ejpam-5753	31	5	definitions	definition	NOUN
ejpam-5753	31	6	a	a	DET
ejpam-5753	31	7	path	path	NOUN
ejpam-5753	31	8	,	,	PUNCT
ejpam-5753	31	9	is	be	AUX
ejpam-5753	31	10	a	a	DET
ejpam-5753	31	11	linear	linear	ADJ
ejpam-5753	31	12	network	network	NOUN
ejpam-5753	31	13	whose	whose	DET
ejpam-5753	31	14	nodes	node	NOUN
ejpam-5753	31	15	are	be	AUX
ejpam-5753	31	16	arranged	arrange	VERB
ejpam-5753	31	17	as	as	ADP
ejpam-5753	31	18	v1	v1	NOUN
ejpam-5753	31	19	,	,	PUNCT
ejpam-5753	31	20	v2	v2	NOUN
ejpam-5753	31	21	,	,	PUNCT
ejpam-5753	31	22	.	.	PUNCT
ejpam-5753	31	23	.	.	PUNCT
ejpam-5753	32	1	.	.	PUNCT
ejpam-5753	33	1	,	,	PUNCT
ejpam-5753	33	2	vr	vr	PROPN
ejpam-5753	33	3	,	,	PUNCT
ejpam-5753	33	4	with	with	ADP
ejpam-5753	33	5	edges	edge	NOUN
ejpam-5753	33	6	of	of	ADP
ejpam-5753	33	7	the	the	DET
ejpam-5753	33	8	form	form	NOUN
ejpam-5753	33	9	{	{	PUNCT
ejpam-5753	33	10	vj	vj	INTJ
ejpam-5753	33	11	,	,	PUNCT
ejpam-5753	33	12	vj+1	vj+1	PROPN
ejpam-5753	33	13	}	}	PUNCT
ejpam-5753	33	14	where	where	SCONJ
ejpam-5753	33	15	j	j	PROPN
ejpam-5753	33	16	=	=	SYM
ejpam-5753	33	17	1	1	NUM
ejpam-5753	33	18	,	,	PUNCT
ejpam-5753	33	19	2	2	NUM
ejpam-5753	33	20	,	,	PUNCT
ejpam-5753	33	21	.	.	PUNCT
ejpam-5753	33	22	.	.	PUNCT
ejpam-5753	34	1	.	.	PUNCT
ejpam-5753	35	1	,	,	PUNCT
ejpam-5753	35	2	r	r	NOUN
ejpam-5753	35	3	−	−	PROPN
ejpam-5753	35	4	1	1	NUM
ejpam-5753	35	5	.	.	PUNCT
ejpam-5753	36	1	a	a	DET
ejpam-5753	36	2	complete	complete	ADJ
ejpam-5753	36	3	network	network	NOUN
ejpam-5753	36	4	kn	kn	PROPN
ejpam-5753	36	5	,	,	PUNCT
ejpam-5753	36	6	in	in	ADP
ejpam-5753	36	7	which	which	PRON
ejpam-5753	36	8	each	each	DET
ejpam-5753	36	9	pair	pair	NOUN
ejpam-5753	36	10	of	of	ADP
ejpam-5753	36	11	unique	unique	ADJ
ejpam-5753	36	12	nodes	node	NOUN
ejpam-5753	36	13	is	be	AUX
ejpam-5753	36	14	connected	connect	VERB
ejpam-5753	36	15	by	by	ADP
ejpam-5753	36	16	a	a	DET
ejpam-5753	36	17	single	single	ADJ
ejpam-5753	36	18	line	line	NOUN
ejpam-5753	36	19	.	.	PUNCT
ejpam-5753	37	1	a	a	DET
ejpam-5753	37	2	cycle	cycle	NOUN
ejpam-5753	37	3	cn	cn	PROPN
ejpam-5753	37	4	,	,	PUNCT
ejpam-5753	37	5	forn	forn	PROPN
ejpam-5753	37	6	≥	≥	NUM
ejpam-5753	37	7	3	3	NUM
ejpam-5753	37	8	,	,	PUNCT
ejpam-5753	37	9	contains	contain	VERB
ejpam-5753	37	10	n	n	PRON
ejpam-5753	37	11	edges	edge	NOUN
ejpam-5753	37	12	and	and	CCONJ
ejpam-5753	37	13	n	n	PRON
ejpam-5753	37	14	vertices	vertex	NOUN
ejpam-5753	37	15	,	,	PUNCT
ejpam-5753	37	16	with	with	ADP
ejpam-5753	37	17	the	the	DET
ejpam-5753	37	18	edges	edge	NOUN
ejpam-5753	37	19	forming	form	VERB
ejpam-5753	37	20	a	a	DET
ejpam-5753	37	21	loop	loop	NOUN
ejpam-5753	37	22	connecting	connect	VERB
ejpam-5753	37	23	the	the	DET
ejpam-5753	37	24	vertices	vertex	NOUN
ejpam-5753	37	25	in	in	ADP
ejpam-5753	37	26	sequence	sequence	NOUN
ejpam-5753	37	27	from	from	ADP
ejpam-5753	37	28	v1tovn	v1tovn	NOUN
ejpam-5753	37	29	and	and	CCONJ
ejpam-5753	37	30	back	back	ADV
ejpam-5753	37	31	to	to	AUX
ejpam-5753	37	32	v1	v1	VERB
ejpam-5753	37	33	.	.	PUNCT
ejpam-5753	38	1	a	a	DET
ejpam-5753	38	2	star	star	NOUN
ejpam-5753	38	3	network	network	NOUN
ejpam-5753	38	4	,	,	PUNCT
ejpam-5753	38	5	k1,r	k1,r	PROPN
ejpam-5753	38	6	,	,	PUNCT
ejpam-5753	38	7	is	be	AUX
ejpam-5753	38	8	a	a	DET
ejpam-5753	38	9	tree	tree	NOUN
ejpam-5753	38	10	with	with	ADP
ejpam-5753	38	11	r	r	NOUN
ejpam-5753	38	12	nodes	node	NOUN
ejpam-5753	38	13	,	,	PUNCT
ejpam-5753	38	14	exacctly	exacctly	ADV
ejpam-5753	38	15	one	one	NUM
ejpam-5753	38	16	node	node	NOUN
ejpam-5753	38	17	of	of	ADP
ejpam-5753	38	18	degree	degree	NOUN
ejpam-5753	38	19	r	r	NOUN
ejpam-5753	38	20	−	−	NOUN
ejpam-5753	38	21	1	1	NUM
ejpam-5753	38	22	,	,	PUNCT
ejpam-5753	38	23	while	while	SCONJ
ejpam-5753	38	24	the	the	DET
ejpam-5753	38	25	other	other	ADJ
ejpam-5753	38	26	r	r	NOUN
ejpam-5753	38	27	−	−	NOUN
ejpam-5753	38	28	1	1	NUM
ejpam-5753	38	29	nodes	node	NOUN
ejpam-5753	38	30	of	of	ADP
ejpam-5753	38	31	degree	degree	NOUN
ejpam-5753	38	32	1	1	NUM
ejpam-5753	38	33	.	.	PUNCT
ejpam-5753	39	1	a	a	DET
ejpam-5753	39	2	friendship	friendship	NOUN
ejpam-5753	39	3	graph	graph	NOUN
ejpam-5753	39	4	,	,	PUNCT
ejpam-5753	39	5	is	be	AUX
ejpam-5753	39	6	denoted	denote	VERB
ejpam-5753	39	7	by	by	ADP
ejpam-5753	39	8	fr	fr	PROPN
ejpam-5753	39	9	,	,	PUNCT
ejpam-5753	39	10	is	be	AUX
ejpam-5753	39	11	formed	form	VERB
ejpam-5753	39	12	by	by	ADP
ejpam-5753	39	13	connecting	connect	VERB
ejpam-5753	39	14	r	r	NOUN
ejpam-5753	39	15	number	number	NOUN
ejpam-5753	39	16	of	of	ADP
ejpam-5753	39	17	the	the	DET
ejpam-5753	39	18	cycles	cycle	NOUN
ejpam-5753	39	19	c3	c3	PROPN
ejpam-5753	39	20	with	with	ADP
ejpam-5753	39	21	a	a	DET
ejpam-5753	39	22	central	central	ADJ
ejpam-5753	39	23	node	node	NOUN
ejpam-5753	39	24	[	[	X
ejpam-5753	39	25	10	10	NUM
ejpam-5753	39	26	]	]	PUNCT
ejpam-5753	39	27	.	.	PUNCT
ejpam-5753	40	1	binary	binary	ADJ
ejpam-5753	40	2	tree	tree	NOUN
ejpam-5753	40	3	is	be	AUX
ejpam-5753	40	4	a	a	DET
ejpam-5753	40	5	tree	tree	NOUN
ejpam-5753	40	6	,	,	PUNCT
ejpam-5753	40	7	each	each	DET
ejpam-5753	40	8	node	node	NOUN
ejpam-5753	40	9	can	can	AUX
ejpam-5753	40	10	have	have	VERB
ejpam-5753	40	11	up	up	ADP
ejpam-5753	40	12	to	to	PART
ejpam-5753	40	13	two	two	NUM
ejpam-5753	40	14	children	child	NOUN
ejpam-5753	40	15	,	,	PUNCT
ejpam-5753	40	16	typically	typically	ADV
ejpam-5753	40	17	called	call	VERB
ejpam-5753	40	18	the	the	DET
ejpam-5753	40	19	left	left	ADJ
ejpam-5753	40	20	and	and	CCONJ
ejpam-5753	40	21	right	right	ADJ
ejpam-5753	40	22	children	child	NOUN
ejpam-5753	40	23	.	.	PUNCT
ejpam-5753	41	1	the	the	DET
ejpam-5753	41	2	ladder	ladder	NOUN
ejpam-5753	41	3	is	be	AUX
ejpam-5753	41	4	a	a	DET
ejpam-5753	41	5	cartesian	cartesian	ADJ
ejpam-5753	41	6	product	product	NOUN
ejpam-5753	41	7	of	of	ADP
ejpam-5753	41	8	pr	pr	NOUN
ejpam-5753	41	9	×	×	NOUN
ejpam-5753	41	10	p2	p2	NOUN
ejpam-5753	41	11	,	,	PUNCT
ejpam-5753	41	12	denoted	denote	VERB
ejpam-5753	41	13	by	by	ADP
ejpam-5753	41	14	lr,1	lr,1	PROPN
ejpam-5753	41	15	.	.	PUNCT
ejpam-5753	42	1	[	[	X
ejpam-5753	42	2	1	1	NUM
ejpam-5753	42	3	]	]	PUNCT
ejpam-5753	42	4	.	.	PUNCT
ejpam-5753	43	1	cartesian	cartesian	ADJ
ejpam-5753	43	2	product	product	NOUN
ejpam-5753	43	3	of	of	ADP
ejpam-5753	43	4	g×h	g×h	PROPN
ejpam-5753	43	5	.	.	PUNCT
ejpam-5753	44	1	the	the	DET
ejpam-5753	44	2	following	follow	VERB
ejpam-5753	44	3	conditions	condition	NOUN
ejpam-5753	44	4	holds	hold	VERB
ejpam-5753	44	5	:	:	PUNCT
ejpam-5753	44	6	•	•	NOUN
ejpam-5753	44	7	in	in	ADP
ejpam-5753	44	8	the	the	DET
ejpam-5753	44	9	cartesian	cartesian	ADJ
ejpam-5753	44	10	product	product	NOUN
ejpam-5753	44	11	g×h	g×h	PROPN
ejpam-5753	44	12	,	,	PUNCT
ejpam-5753	44	13	the	the	DET
ejpam-5753	44	14	vertices	vertex	NOUN
ejpam-5753	44	15	(	(	PUNCT
ejpam-5753	44	16	s	s	PROPN
ejpam-5753	44	17	,	,	PUNCT
ejpam-5753	44	18	t	t	PROPN
ejpam-5753	44	19	)	)	PUNCT
ejpam-5753	44	20	and	and	CCONJ
ejpam-5753	44	21	(	(	PUNCT
ejpam-5753	44	22	s′	s′	X
ejpam-5753	44	23	,	,	PUNCT
ejpam-5753	44	24	t′	t′	NUM
ejpam-5753	44	25	)	)	PUNCT
ejpam-5753	44	26	are	be	AUX
ejpam-5753	44	27	neighbours	neighbour	NOUN
ejpam-5753	44	28	only	only	ADV
ejpam-5753	44	29	if	if	SCONJ
ejpam-5753	44	30	s	s	NOUN
ejpam-5753	44	31	=	=	SYM
ejpam-5753	44	32	t′	t′	PROPN
ejpam-5753	44	33	and	and	CCONJ
ejpam-5753	44	34	t	t	PROPN
ejpam-5753	44	35	is	be	AUX
ejpam-5753	44	36	a	a	DET
ejpam-5753	44	37	neighbour	neighbour	NOUN
ejpam-5753	44	38	to	to	ADP
ejpam-5753	44	39	t′	t′	NOUN
ejpam-5753	44	40	in	in	ADP
ejpam-5753	44	41	h	h	NOUN
ejpam-5753	44	42	,	,	PUNCT
ejpam-5753	44	43	or	or	CCONJ
ejpam-5753	45	1	t	t	NOUN
ejpam-5753	45	2	=	=	SYM
ejpam-5753	45	3	t′	t′	NUM
ejpam-5753	45	4	and	and	CCONJ
ejpam-5753	45	5	u	u	NOUN
ejpam-5753	45	6	is	be	AUX
ejpam-5753	45	7	a	a	DET
ejpam-5753	45	8	neighbour	neighbour	NOUN
ejpam-5753	45	9	to	to	ADP
ejpam-5753	45	10	s′	s′	PROPN
ejpam-5753	45	11	in	in	ADP
ejpam-5753	45	12	g.	g.	PROPN
ejpam-5753	45	13	•	•	NOUN
ejpam-5753	45	14	the	the	DET
ejpam-5753	45	15	vertex	vertex	NOUN
ejpam-5753	45	16	set	set	NOUN
ejpam-5753	45	17	of	of	ADP
ejpam-5753	45	18	g×h	g×h	PROPN
ejpam-5753	45	19	is	be	AUX
ejpam-5753	45	20	given	give	VERB
ejpam-5753	45	21	by	by	ADP
ejpam-5753	45	22	v	v	NOUN
ejpam-5753	45	23	(	(	PUNCT
ejpam-5753	45	24	g)×	g)×	NOUN
ejpam-5753	45	25	v	v	NOUN
ejpam-5753	45	26	(	(	PUNCT
ejpam-5753	45	27	h	h	NOUN
ejpam-5753	45	28	)	)	PUNCT
ejpam-5753	45	29	.	.	PUNCT
ejpam-5753	46	1	a	a	DET
ejpam-5753	46	2	graph	graph	NOUN
ejpam-5753	46	3	g	g	NOUN
ejpam-5753	46	4	=	=	SYM
ejpam-5753	46	5	(	(	PUNCT
ejpam-5753	46	6	v	v	NOUN
ejpam-5753	46	7	,	,	PUNCT
ejpam-5753	46	8	e	e	NOUN
ejpam-5753	46	9	)	)	PUNCT
ejpam-5753	46	10	is	be	AUX
ejpam-5753	46	11	defined	define	VERB
ejpam-5753	46	12	as	as	ADP
ejpam-5753	46	13	a	a	DET
ejpam-5753	46	14	nonempty	nonempty	NOUN
ejpam-5753	46	15	set	set	NOUN
ejpam-5753	46	16	of	of	ADP
ejpam-5753	46	17	vertices	vertex	NOUN
ejpam-5753	46	18	v	v	NOUN
ejpam-5753	46	19	=	=	SYM
ejpam-5753	46	20	v	v	NOUN
ejpam-5753	46	21	(	(	PUNCT
ejpam-5753	46	22	g	g	NOUN
ejpam-5753	46	23	)	)	PUNCT
ejpam-5753	46	24	together	together	ADV
ejpam-5753	46	25	with	with	ADP
ejpam-5753	46	26	a	a	DET
ejpam-5753	46	27	set	set	NOUN
ejpam-5753	46	28	of	of	ADP
ejpam-5753	46	29	edges	edge	NOUN
ejpam-5753	46	30	e	e	NOUN
ejpam-5753	46	31	=	=	PROPN
ejpam-5753	46	32	e(g	e(g	PROPN
ejpam-5753	46	33	)	)	PUNCT
ejpam-5753	46	34	joining	join	VERB
ejpam-5753	46	35	certain	certain	ADJ
ejpam-5753	46	36	pairs	pair	NOUN
ejpam-5753	46	37	of	of	ADP
ejpam-5753	46	38	vertices	vertex	NOUN
ejpam-5753	46	39	.	.	PUNCT
ejpam-5753	47	1	vertices	vertice	VERB
ejpam-5753	47	2	u	u	NOUN
ejpam-5753	47	3	and	and	CCONJ
ejpam-5753	47	4	v	v	NOUN
ejpam-5753	47	5	are	be	AUX
ejpam-5753	47	6	said	say	VERB
ejpam-5753	47	7	to	to	PART
ejpam-5753	47	8	be	be	AUX
ejpam-5753	47	9	j.	j.	PROPN
ejpam-5753	47	10	anitha	anitha	PROPN
ejpam-5753	47	11	et	et	PROPN
ejpam-5753	47	12	al	al	PROPN
ejpam-5753	47	13	.	.	PUNCT
ejpam-5753	47	14	/	/	SYM
ejpam-5753	47	15	eur	eur	PROPN
ejpam-5753	47	16	.	.	PUNCT
ejpam-5753	48	1	j.	j.	PROPN
ejpam-5753	48	2	pure	pure	PROPN
ejpam-5753	48	3	appl	appl	PROPN
ejpam-5753	48	4	.	.	PROPN
ejpam-5753	48	5	math	math	PROPN
ejpam-5753	48	6	,	,	PUNCT
ejpam-5753	48	7	18	18	NUM
ejpam-5753	48	8	(	(	PUNCT
ejpam-5753	48	9	1	1	NUM
ejpam-5753	48	10	)	)	PUNCT
ejpam-5753	48	11	(	(	PUNCT
ejpam-5753	48	12	2025	2025	NUM
ejpam-5753	48	13	)	)	PUNCT
ejpam-5753	48	14	,	,	PUNCT
ejpam-5753	48	15	5753	5753	NUM
ejpam-5753	48	16	3	3	NUM
ejpam-5753	48	17	of	of	ADP
ejpam-5753	48	18	16	16	NUM
ejpam-5753	48	19	adjacent	adjacent	ADJ
ejpam-5753	48	20	if	if	SCONJ
ejpam-5753	48	21	u	u	PROPN
ejpam-5753	48	22	and	and	CCONJ
ejpam-5753	48	23	v	v	NOUN
ejpam-5753	48	24	are	be	AUX
ejpam-5753	48	25	the	the	DET
ejpam-5753	48	26	end	end	NOUN
ejpam-5753	48	27	vertices	vertex	NOUN
ejpam-5753	48	28	of	of	ADP
ejpam-5753	48	29	an	an	DET
ejpam-5753	48	30	edge	edge	NOUN
ejpam-5753	48	31	in	in	ADP
ejpam-5753	48	32	g.	g.	NOUN
ejpam-5753	48	33	for	for	ADP
ejpam-5753	48	34	u	u	PROPN
ejpam-5753	48	35	∈	∈	PROPN
ejpam-5753	48	36	v	v	NOUN
ejpam-5753	48	37	,	,	PUNCT
ejpam-5753	48	38	the	the	DET
ejpam-5753	48	39	set	set	NOUN
ejpam-5753	48	40	of	of	ADP
ejpam-5753	48	41	all	all	DET
ejpam-5753	48	42	vertices	vertex	NOUN
ejpam-5753	48	43	adjacent	adjacent	ADJ
ejpam-5753	48	44	to	to	ADP
ejpam-5753	48	45	u	u	NOUN
ejpam-5753	48	46	are	be	AUX
ejpam-5753	48	47	said	say	VERB
ejpam-5753	48	48	to	to	PART
ejpam-5753	48	49	be	be	AUX
ejpam-5753	48	50	in	in	ADP
ejpam-5753	48	51	the	the	DET
ejpam-5753	48	52	neighbours	neighbour	NOUN
ejpam-5753	48	53	of	of	ADP
ejpam-5753	48	54	u	u	NOUN
ejpam-5753	48	55	and	and	CCONJ
ejpam-5753	48	56	is	be	AUX
ejpam-5753	48	57	denoted	denote	VERB
ejpam-5753	48	58	by	by	ADP
ejpam-5753	48	59	n(u	n(u	PROPN
ejpam-5753	48	60	)	)	PUNCT
ejpam-5753	48	61	.	.	PUNCT
ejpam-5753	49	1	then	then	ADV
ejpam-5753	49	2	,	,	PUNCT
ejpam-5753	49	3	the	the	DET
ejpam-5753	49	4	closed	closed	ADJ
ejpam-5753	49	5	neighbourhood	neighbourhood	NOUN
ejpam-5753	49	6	of	of	ADP
ejpam-5753	49	7	u	u	NOUN
ejpam-5753	49	8	is	be	AUX
ejpam-5753	49	9	defined	define	VERB
ejpam-5753	49	10	as	as	ADP
ejpam-5753	49	11	n	n	NOUN
ejpam-5753	49	12	[	[	X
ejpam-5753	49	13	u	u	X
ejpam-5753	49	14	]	]	X
ejpam-5753	49	15	=	=	SYM
ejpam-5753	49	16	n(u	n(u	PROPN
ejpam-5753	49	17	)	)	PUNCT
ejpam-5753	49	18	∪	∪	VERB
ejpam-5753	49	19	{	{	PUNCT
ejpam-5753	49	20	u	u	NOUN
ejpam-5753	49	21	}	}	PUNCT
ejpam-5753	49	22	.	.	PUNCT
ejpam-5753	50	1	dominating	dominating	NOUN
ejpam-5753	50	2	set	set	NOUN
ejpam-5753	50	3	:	:	PUNCT
ejpam-5753	50	4	a	a	DET
ejpam-5753	50	5	vertex	vertex	NOUN
ejpam-5753	50	6	v	v	NOUN
ejpam-5753	50	7	is	be	AUX
ejpam-5753	50	8	represents	represent	VERB
ejpam-5753	50	9	to	to	ADP
ejpam-5753	50	10	as	as	ADP
ejpam-5753	50	11	a	a	DET
ejpam-5753	50	12	dominating	dominating	NOUN
ejpam-5753	50	13	set	set	VERB
ejpam-5753	50	14	over	over	ADP
ejpam-5753	50	15	a	a	DET
ejpam-5753	50	16	vertex	vertex	NOUN
ejpam-5753	50	17	u	u	NOUN
ejpam-5753	50	18	if	if	SCONJ
ejpam-5753	50	19	u	u	NOUN
ejpam-5753	50	20	and	and	CCONJ
ejpam-5753	50	21	v	v	NOUN
ejpam-5753	50	22	are	be	AUX
ejpam-5753	50	23	neighboring	neighboring	NOUN
ejpam-5753	50	24	vertices	vertex	NOUN
ejpam-5753	50	25	in	in	ADP
ejpam-5753	50	26	g.	g.	PROPN
ejpam-5753	50	27	if	if	SCONJ
ejpam-5753	50	28	every	every	DET
ejpam-5753	50	29	vertex	vertex	NOUN
ejpam-5753	50	30	not	not	PART
ejpam-5753	50	31	in	in	ADP
ejpam-5753	50	32	s	s	PROPN
ejpam-5753	50	33	is	be	AUX
ejpam-5753	50	34	adjacent	adjacent	ADJ
ejpam-5753	50	35	to	to	ADP
ejpam-5753	50	36	at	at	ADV
ejpam-5753	50	37	least	least	ADV
ejpam-5753	50	38	one	one	NUM
ejpam-5753	50	39	vertex	vertex	NOUN
ejpam-5753	50	40	in	in	ADP
ejpam-5753	50	41	s	s	PROPN
ejpam-5753	50	42	,	,	PUNCT
ejpam-5753	50	43	then	then	ADV
ejpam-5753	50	44	set	set	VERB
ejpam-5753	50	45	s	s	PRON
ejpam-5753	50	46	⊆	⊆	NUM
ejpam-5753	50	47	v	v	NOUN
ejpam-5753	50	48	(	(	PUNCT
ejpam-5753	50	49	g	g	NOUN
ejpam-5753	50	50	)	)	PUNCT
ejpam-5753	50	51	is	be	AUX
ejpam-5753	50	52	called	call	VERB
ejpam-5753	50	53	a	a	DET
ejpam-5753	50	54	dominating	dominating	NOUN
ejpam-5753	50	55	set	set	NOUN
ejpam-5753	50	56	.	.	PUNCT
ejpam-5753	51	1	the	the	DET
ejpam-5753	51	2	least	least	ADJ
ejpam-5753	51	3	size	size	NOUN
ejpam-5753	51	4	of	of	ADP
ejpam-5753	51	5	such	such	DET
ejpam-5753	51	6	a	a	DET
ejpam-5753	51	7	set	set	NOUN
ejpam-5753	51	8	s	s	PART
ejpam-5753	51	9	is	be	AUX
ejpam-5753	51	10	called	call	VERB
ejpam-5753	51	11	the	the	DET
ejpam-5753	51	12	domination	domination	NOUN
ejpam-5753	51	13	number	number	NOUN
ejpam-5753	51	14	of	of	ADP
ejpam-5753	51	15	g	g	NOUN
ejpam-5753	51	16	,	,	PUNCT
ejpam-5753	51	17	denoted	denote	VERB
ejpam-5753	51	18	by	by	ADP
ejpam-5753	51	19	γ(g	γ(g	PROPN
ejpam-5753	51	20	)	)	PUNCT
ejpam-5753	51	21	.	.	PUNCT
ejpam-5753	52	1	k	k	X
ejpam-5753	52	2	-	-	PUNCT
ejpam-5753	52	3	power	power	NOUN
ejpam-5753	52	4	dominating	dominate	VERB
ejpam-5753	52	5	set(k	set(k	NOUN
ejpam-5753	52	6	-	-	PUNCT
ejpam-5753	52	7	pds	pds	NOUN
ejpam-5753	52	8	):	):	PUNCT
ejpam-5753	52	9	given	give	VERB
ejpam-5753	52	10	an	an	DET
ejpam-5753	52	11	integer	integer	NOUN
ejpam-5753	52	12	k	k	PROPN
ejpam-5753	52	13	≥	≥	NUM
ejpam-5753	52	14	0	0	NUM
ejpam-5753	52	15	and	and	CCONJ
ejpam-5753	52	16	a	a	DET
ejpam-5753	52	17	graph	graph	NOUN
ejpam-5753	52	18	g(v	g(v	NOUN
ejpam-5753	52	19	,	,	PUNCT
ejpam-5753	52	20	e	e	NOUN
ejpam-5753	52	21	)	)	PUNCT
ejpam-5753	52	22	,	,	PUNCT
ejpam-5753	52	23	a	a	DET
ejpam-5753	52	24	set	set	NOUN
ejpam-5753	52	25	s	s	NOUN
ejpam-5753	52	26	⊆	⊆	NUM
ejpam-5753	52	27	v	v	NOUN
ejpam-5753	52	28	(	(	PUNCT
ejpam-5753	52	29	g	g	NOUN
ejpam-5753	52	30	)	)	PUNCT
ejpam-5753	52	31	is	be	AUX
ejpam-5753	52	32	called	call	VERB
ejpam-5753	52	33	a	a	DET
ejpam-5753	52	34	k	k	NOUN
ejpam-5753	52	35	-	-	NOUN
ejpam-5753	52	36	pds	pds	NOUN
ejpam-5753	52	37	if	if	SCONJ
ejpam-5753	52	38	it	it	PRON
ejpam-5753	52	39	monitors	monitor	VERB
ejpam-5753	52	40	all	all	DET
ejpam-5753	52	41	vertices	vertex	NOUN
ejpam-5753	52	42	in	in	ADP
ejpam-5753	52	43	g	g	PROPN
ejpam-5753	52	44	through	through	ADP
ejpam-5753	52	45	inductive	inductive	ADJ
ejpam-5753	52	46	step	step	NOUN
ejpam-5753	52	47	.	.	PUNCT
ejpam-5753	53	1	define	define	VERB
ejpam-5753	53	2	the	the	DET
ejpam-5753	53	3	sets	set	NOUN
ejpam-5753	53	4	m	m	VERB
ejpam-5753	53	5	i(s	i(s	NOUN
ejpam-5753	53	6	)	)	PUNCT
ejpam-5753	53	7	of	of	ADP
ejpam-5753	53	8	vertices	vertex	NOUN
ejpam-5753	53	9	monitored	monitor	VERB
ejpam-5753	53	10	by	by	ADP
ejpam-5753	53	11	s	s	PRON
ejpam-5753	53	12	at	at	ADP
ejpam-5753	53	13	level	level	NOUN
ejpam-5753	53	14	i	i	PRON
ejpam-5753	53	15	as	as	SCONJ
ejpam-5753	53	16	follows	follow	VERB
ejpam-5753	53	17	:	:	PUNCT
ejpam-5753	54	1	1	1	X
ejpam-5753	54	2	.	.	X
ejpam-5753	54	3	m0(s	m0(s	X
ejpam-5753	54	4	)	)	PUNCT
ejpam-5753	54	5	=	=	SYM
ejpam-5753	55	1	n	n	PRON
ejpam-5753	56	1	[	[	X
ejpam-5753	56	2	s	s	X
ejpam-5753	56	3	]	]	X
ejpam-5753	56	4	2	2	NUM
ejpam-5753	56	5	.	.	PUNCT
ejpam-5753	56	6	m	m	VERB
ejpam-5753	56	7	i+1(s	i+1(	NOUN
ejpam-5753	56	8	)	)	PUNCT
ejpam-5753	56	9	=	=	PUNCT
ejpam-5753	57	1	m	m	VERB
ejpam-5753	57	2	i(s	i(s	NOUN
ejpam-5753	57	3	)	)	PUNCT
ejpam-5753	57	4	∪	∪	ADP
ejpam-5753	57	5	{	{	PUNCT
ejpam-5753	57	6	n(v	n(v	PROPN
ejpam-5753	57	7	)	)	PUNCT
ejpam-5753	57	8	:	:	PUNCT
ejpam-5753	57	9	∃v	∃v	PROPN
ejpam-5753	57	10	∈m	∈m	NOUN
ejpam-5753	57	11	i(s	i(s	NOUN
ejpam-5753	57	12	)	)	PUNCT
ejpam-5753	57	13	,	,	PUNCT
ejpam-5753	57	14	|n(v	|n(v	PROPN
ejpam-5753	57	15	)	)	PUNCT
ejpam-5753	57	16	\m	\m	NOUN
ejpam-5753	57	17	i(s)|	i(s)|	NOUN
ejpam-5753	57	18	≤	≤	NUM
ejpam-5753	57	19	k	k	NOUN
ejpam-5753	57	20	}	}	PUNCT
ejpam-5753	57	21	.	.	PUNCT
ejpam-5753	58	1	if	if	SCONJ
ejpam-5753	58	2	m∞(s	m∞(s	NOUN
ejpam-5753	58	3	)	)	PUNCT
ejpam-5753	58	4	=	=	SYM
ejpam-5753	58	5	v	v	NOUN
ejpam-5753	58	6	(	(	PUNCT
ejpam-5753	58	7	g	g	NOUN
ejpam-5753	58	8	)	)	PUNCT
ejpam-5753	58	9	,	,	PUNCT
ejpam-5753	58	10	then	then	ADV
ejpam-5753	58	11	the	the	DET
ejpam-5753	58	12	set	set	NOUN
ejpam-5753	58	13	s	s	VERB
ejpam-5753	58	14	is	be	AUX
ejpam-5753	58	15	a	a	DET
ejpam-5753	58	16	k	k	NOUN
ejpam-5753	58	17	-	-	NOUN
ejpam-5753	58	18	pds	pds	NOUN
ejpam-5753	58	19	.	.	PUNCT
ejpam-5753	59	1	the	the	DET
ejpam-5753	59	2	γp	γp	PROPN
ejpam-5753	59	3	,	,	PUNCT
ejpam-5753	59	4	k(g	k(g	PROPN
ejpam-5753	59	5	)	)	PUNCT
ejpam-5753	59	6	,	,	PUNCT
ejpam-5753	59	7	is	be	AUX
ejpam-5753	59	8	the	the	DET
ejpam-5753	59	9	minimum	minimum	ADJ
ejpam-5753	59	10	size	size	NOUN
ejpam-5753	59	11	of	of	ADP
ejpam-5753	59	12	a	a	DET
ejpam-5753	59	13	k	k	NOUN
ejpam-5753	59	14	-	-	NOUN
ejpam-5753	59	15	pds	pds	NOUN
ejpam-5753	59	16	of	of	ADP
ejpam-5753	59	17	g.	g.	PROPN
ejpam-5753	59	18	v1	v1	PROPN
ejpam-5753	59	19	v2	v2	PROPN
ejpam-5753	59	20	v3	v3	PROPN
ejpam-5753	59	21	v4	v4	PROPN
ejpam-5753	59	22	vn	vn	PROPN
ejpam-5753	59	23	(	(	PUNCT
ejpam-5753	59	24	a	a	PRON
ejpam-5753	59	25	)	)	PUNCT
ejpam-5753	59	26	path	path	NOUN
ejpam-5753	59	27	graph	graph	NOUN
ejpam-5753	59	28	,	,	PUNCT
ejpam-5753	59	29	pn	pn	PROPN
ejpam-5753	59	30	v4	v4	PROPN
ejpam-5753	59	31	v3	v3	PROPN
ejpam-5753	59	32	v2	v2	PROPN
ejpam-5753	59	33	v1	v1	PROPN
ejpam-5753	59	34	vn	vn	X
ejpam-5753	59	35	(	(	PUNCT
ejpam-5753	59	36	b	b	NOUN
ejpam-5753	59	37	)	)	PUNCT
ejpam-5753	59	38	cycle	cycle	NOUN
ejpam-5753	59	39	graph	graph	NOUN
ejpam-5753	59	40	,	,	PUNCT
ejpam-5753	59	41	cn	cn	PROPN
ejpam-5753	59	42	v4	v4	PROPN
ejpam-5753	59	43	v3	v3	PROPN
ejpam-5753	59	44	v2	v2	PROPN
ejpam-5753	59	45	v1	v1	PROPN
ejpam-5753	59	46	vn	vn	X
ejpam-5753	59	47	(	(	PUNCT
ejpam-5753	59	48	c	c	NOUN
ejpam-5753	59	49	)	)	PUNCT
ejpam-5753	59	50	complete	complete	ADJ
ejpam-5753	59	51	graph	graph	NOUN
ejpam-5753	59	52	,	,	PUNCT
ejpam-5753	59	53	kn	kn	PROPN
ejpam-5753	59	54	v0	v0	PROPN
ejpam-5753	59	55	v1	v1	PROPN
ejpam-5753	59	56	v2	v2	PROPN
ejpam-5753	59	57	v3	v3	PROPN
ejpam-5753	59	58	v4	v4	PROPN
ejpam-5753	59	59	vn	vn	PROPN
ejpam-5753	59	60	(	(	PUNCT
ejpam-5753	59	61	d	d	NOUN
ejpam-5753	59	62	)	)	PUNCT
ejpam-5753	59	63	star	star	NOUN
ejpam-5753	59	64	graph	graph	NOUN
ejpam-5753	59	65	,	,	PUNCT
ejpam-5753	59	66	k1,n	k1,n	PROPN
ejpam-5753	59	67	a1	a1	NOUN
ejpam-5753	59	68	a2	a2	PROPN
ejpam-5753	59	69	a3	a3	VERB
ejpam-5753	59	70	an	an	DET
ejpam-5753	59	71	b1	b1	NOUN
ejpam-5753	59	72	b2	b2	NOUN
ejpam-5753	59	73	b3	b3	PROPN
ejpam-5753	59	74	bn	bn	PROPN
ejpam-5753	59	75	(	(	PUNCT
ejpam-5753	59	76	e	e	NOUN
ejpam-5753	59	77	)	)	PUNCT
ejpam-5753	59	78	ladder	ladder	NOUN
ejpam-5753	59	79	graph	graph	NOUN
ejpam-5753	59	80	,	,	PUNCT
ejpam-5753	59	81	ln,1	ln,1	PROPN
ejpam-5753	59	82	1	1	NUM
ejpam-5753	59	83	2	2	NUM
ejpam-5753	59	84	4	4	NUM
ejpam-5753	59	85	5	5	NUM
ejpam-5753	59	86	3	3	NUM
ejpam-5753	59	87	6	6	NUM
ejpam-5753	59	88	7	7	NUM
ejpam-5753	59	89	(	(	PUNCT
ejpam-5753	59	90	f	f	X
ejpam-5753	59	91	)	)	PUNCT
ejpam-5753	59	92	binary	binary	ADJ
ejpam-5753	59	93	tree	tree	NOUN
ejpam-5753	59	94	,	,	PUNCT
ejpam-5753	59	95	tn	tn	VERB
ejpam-5753	59	96	the	the	DET
ejpam-5753	59	97	zero	zero	NUM
ejpam-5753	59	98	forcing	forcing	NOUN
ejpam-5753	59	99	process	process	NOUN
ejpam-5753	59	100	can	can	AUX
ejpam-5753	59	101	be	be	AUX
ejpam-5753	59	102	treated	treat	VERB
ejpam-5753	59	103	as	as	ADP
ejpam-5753	59	104	a	a	DET
ejpam-5753	59	105	coloring	coloring	NOUN
ejpam-5753	59	106	process	process	NOUN
ejpam-5753	59	107	on	on	ADP
ejpam-5753	59	108	the	the	DET
ejpam-5753	59	109	vertices	vertex	NOUN
ejpam-5753	59	110	of	of	ADP
ejpam-5753	59	111	the	the	DET
ejpam-5753	59	112	graph	graph	NOUN
ejpam-5753	59	113	.	.	PUNCT
ejpam-5753	60	1	if	if	SCONJ
ejpam-5753	60	2	vertex	vertex	NOUN
ejpam-5753	60	3	x	x	VERB
ejpam-5753	60	4	is	be	AUX
ejpam-5753	60	5	colored	color	VERB
ejpam-5753	60	6	red	red	ADJ
ejpam-5753	60	7	and	and	CCONJ
ejpam-5753	60	8	exactly	exactly	ADV
ejpam-5753	60	9	one	one	NUM
ejpam-5753	60	10	neighbor	neighbor	NOUN
ejpam-5753	60	11	y	y	PROPN
ejpam-5753	60	12	of	of	ADP
ejpam-5753	60	13	x	x	PROPN
ejpam-5753	60	14	is	be	AUX
ejpam-5753	60	15	green	green	ADJ
ejpam-5753	60	16	,	,	PUNCT
ejpam-5753	60	17	then	then	ADV
ejpam-5753	60	18	change	change	VERB
ejpam-5753	60	19	the	the	DET
ejpam-5753	60	20	color	color	NOUN
ejpam-5753	60	21	of	of	ADP
ejpam-5753	60	22	y	y	PROPN
ejpam-5753	60	23	to	to	AUX
ejpam-5753	60	24	red	red	ADJ
ejpam-5753	60	25	and	and	CCONJ
ejpam-5753	60	26	we	we	PRON
ejpam-5753	60	27	say	say	VERB
ejpam-5753	60	28	that	that	SCONJ
ejpam-5753	60	29	x	x	SYM
ejpam-5753	60	30	forces	force	VERB
ejpam-5753	60	31	y.	y.	NOUN
ejpam-5753	60	32	a	a	DET
ejpam-5753	60	33	zero	zero	NUM
ejpam-5753	60	34	forcing	forcing	NOUN
ejpam-5753	60	35	set	set	NOUN
ejpam-5753	60	36	for	for	ADP
ejpam-5753	60	37	g	g	PROPN
ejpam-5753	60	38	is	be	AUX
ejpam-5753	60	39	a	a	DET
ejpam-5753	60	40	subset	subset	NOUN
ejpam-5753	60	41	j.	j.	PROPN
ejpam-5753	60	42	anitha	anitha	PROPN
ejpam-5753	61	1	et	et	PROPN
ejpam-5753	61	2	al	al	PROPN
ejpam-5753	61	3	.	.	PUNCT
ejpam-5753	61	4	/	/	SYM
ejpam-5753	61	5	eur	eur	PROPN
ejpam-5753	61	6	.	.	PUNCT
ejpam-5753	62	1	j.	j.	PROPN
ejpam-5753	62	2	pure	pure	PROPN
ejpam-5753	62	3	appl	appl	PROPN
ejpam-5753	62	4	.	.	PROPN
ejpam-5753	62	5	math	math	PROPN
ejpam-5753	62	6	,	,	PUNCT
ejpam-5753	62	7	18	18	NUM
ejpam-5753	62	8	(	(	PUNCT
ejpam-5753	62	9	1	1	NUM
ejpam-5753	62	10	)	)	PUNCT
ejpam-5753	62	11	(	(	PUNCT
ejpam-5753	62	12	2025	2025	NUM
ejpam-5753	62	13	)	)	PUNCT
ejpam-5753	62	14	,	,	PUNCT
ejpam-5753	62	15	5753	5753	NUM
ejpam-5753	62	16	4	4	NUM
ejpam-5753	62	17	of	of	ADP
ejpam-5753	62	18	16	16	NUM
ejpam-5753	62	19	1	1	NUM
ejpam-5753	62	20	2	2	NUM
ejpam-5753	62	21	1	1	NUM
ejpam-5753	62	22	2	2	NUM
ejpam-5753	62	23	1	1	NUM
ejpam-5753	62	24	2	2	NUM
ejpam-5753	62	25	3	3	NUM
ejpam-5753	62	26	4	4	NUM
ejpam-5753	62	27	3	3	NUM
ejpam-5753	62	28	4	4	NUM
ejpam-5753	62	29	3	3	NUM
ejpam-5753	62	30	4	4	NUM
ejpam-5753	62	31	g	g	NOUN
ejpam-5753	62	32	:	:	PUNCT
ejpam-5753	62	33	(	(	PUNCT
ejpam-5753	62	34	a	a	X
ejpam-5753	62	35	)	)	PUNCT
ejpam-5753	62	36	(	(	PUNCT
ejpam-5753	62	37	i	i	NOUN
ejpam-5753	62	38	)	)	PUNCT
ejpam-5753	62	39	(	(	PUNCT
ejpam-5753	62	40	ii	ii	NOUN
ejpam-5753	62	41	)	)	PUNCT
ejpam-5753	62	42	(	(	PUNCT
ejpam-5753	62	43	iii)5	iii)5	PROPN
ejpam-5753	62	44	6	6	NUM
ejpam-5753	62	45	7	7	NUM
ejpam-5753	62	46	5	5	NUM
ejpam-5753	62	47	6	6	NUM
ejpam-5753	62	48	7	7	NUM
ejpam-5753	62	49	5	5	NUM
ejpam-5753	62	50	6	6	NUM
ejpam-5753	62	51	7	7	NUM
ejpam-5753	62	52	8	8	NUM
ejpam-5753	62	53	8	8	NUM
ejpam-5753	62	54	1	1	NUM
ejpam-5753	62	55	2	2	NUM
ejpam-5753	62	56	1	1	NUM
ejpam-5753	62	57	2	2	NUM
ejpam-5753	62	58	1	1	NUM
ejpam-5753	62	59	2	2	NUM
ejpam-5753	62	60	3	3	NUM
ejpam-5753	62	61	4	4	NUM
ejpam-5753	62	62	3	3	NUM
ejpam-5753	62	63	4	4	NUM
ejpam-5753	62	64	3	3	NUM
ejpam-5753	62	65	4	4	NUM
ejpam-5753	62	66	g	g	NOUN
ejpam-5753	62	67	:	:	PUNCT
ejpam-5753	62	68	(	(	PUNCT
ejpam-5753	62	69	b	b	X
ejpam-5753	62	70	)	)	PUNCT
ejpam-5753	62	71	(	(	PUNCT
ejpam-5753	62	72	i	i	NOUN
ejpam-5753	62	73	)	)	PUNCT
ejpam-5753	62	74	(	(	PUNCT
ejpam-5753	62	75	ii	ii	NOUN
ejpam-5753	62	76	)	)	PUNCT
ejpam-5753	62	77	(	(	PUNCT
ejpam-5753	62	78	iii)5	iii)5	PROPN
ejpam-5753	62	79	6	6	NUM
ejpam-5753	62	80	7	7	NUM
ejpam-5753	62	81	5	5	NUM
ejpam-5753	62	82	6	6	NUM
ejpam-5753	62	83	7	7	NUM
ejpam-5753	62	84	5	5	NUM
ejpam-5753	62	85	6	6	NUM
ejpam-5753	62	86	7	7	NUM
ejpam-5753	62	87	8	8	NUM
ejpam-5753	62	88	8	8	NUM
ejpam-5753	62	89	figure	figure	NOUN
ejpam-5753	62	90	2	2	NUM
ejpam-5753	62	91	:	:	PUNCT
ejpam-5753	62	92	(	(	PUNCT
ejpam-5753	62	93	a	a	X
ejpam-5753	62	94	)	)	PUNCT
ejpam-5753	62	95	vertex	vertex	NOUN
ejpam-5753	62	96	in	in	ADP
ejpam-5753	62	97	red	red	PROPN
ejpam-5753	62	98	is	be	AUX
ejpam-5753	62	99	a	a	DET
ejpam-5753	62	100	power	power	NOUN
ejpam-5753	62	101	dominating	dominating	NOUN
ejpam-5753	62	102	set	set	VERB
ejpam-5753	62	103	in	in	ADP
ejpam-5753	62	104	g	g	NOUN
ejpam-5753	62	105	with	with	ADP
ejpam-5753	62	106	γp(g	γp(g	PUNCT
ejpam-5753	62	107	)	)	PUNCT
ejpam-5753	62	108	=	=	SYM
ejpam-5753	62	109	2	2	NUM
ejpam-5753	62	110	(	(	PUNCT
ejpam-5753	62	111	b	b	NOUN
ejpam-5753	62	112	)	)	PUNCT
ejpam-5753	62	113	vertex	vertex	NOUN
ejpam-5753	62	114	in	in	ADP
ejpam-5753	62	115	red	red	PROPN
ejpam-5753	62	116	is	be	AUX
ejpam-5753	62	117	a	a	DET
ejpam-5753	62	118	2	2	NUM
ejpam-5753	62	119	-	-	PUNCT
ejpam-5753	62	120	power	power	NOUN
ejpam-5753	62	121	dominating	dominating	NOUN
ejpam-5753	62	122	set	set	VERB
ejpam-5753	62	123	in	in	ADP
ejpam-5753	62	124	g	g	NOUN
ejpam-5753	62	125	with	with	ADP
ejpam-5753	62	126	γp(g	γp(g	PUNCT
ejpam-5753	62	127	)	)	PUNCT
ejpam-5753	62	128	=	=	SYM
ejpam-5753	62	129	1	1	NUM
ejpam-5753	62	130	of	of	ADP
ejpam-5753	62	131	vertices	vertex	NOUN
ejpam-5753	62	132	h	h	NOUN
ejpam-5753	62	133	such	such	ADJ
ejpam-5753	62	134	that	that	SCONJ
ejpam-5753	62	135	if	if	SCONJ
ejpam-5753	62	136	initially	initially	ADV
ejpam-5753	62	137	the	the	DET
ejpam-5753	62	138	vertices	vertex	NOUN
ejpam-5753	62	139	in	in	ADP
ejpam-5753	62	140	h	h	NOUN
ejpam-5753	62	141	are	be	AUX
ejpam-5753	62	142	colored	color	VERB
ejpam-5753	62	143	red	red	ADJ
ejpam-5753	62	144	and	and	CCONJ
ejpam-5753	62	145	the	the	DET
ejpam-5753	62	146	remaining	remain	VERB
ejpam-5753	62	147	vertices	vertex	NOUN
ejpam-5753	62	148	are	be	AUX
ejpam-5753	62	149	colored	color	VERB
ejpam-5753	62	150	green	green	ADJ
ejpam-5753	62	151	,	,	PUNCT
ejpam-5753	62	152	then	then	ADV
ejpam-5753	62	153	repeated	repeat	VERB
ejpam-5753	62	154	application	application	NOUN
ejpam-5753	62	155	of	of	ADP
ejpam-5753	62	156	the	the	DET
ejpam-5753	62	157	above	above	ADJ
ejpam-5753	62	158	process	process	NOUN
ejpam-5753	62	159	can	can	AUX
ejpam-5753	62	160	color	color	VERB
ejpam-5753	62	161	all	all	DET
ejpam-5753	62	162	vertices	vertex	NOUN
ejpam-5753	62	163	of	of	ADP
ejpam-5753	62	164	g	g	PROPN
ejpam-5753	62	165	red	red	ADJ
ejpam-5753	62	166	.	.	PUNCT
ejpam-5753	63	1	this	this	DET
ejpam-5753	63	2	concept	concept	NOUN
ejpam-5753	63	3	helps	help	VERB
ejpam-5753	63	4	to	to	PART
ejpam-5753	63	5	identify	identify	VERB
ejpam-5753	63	6	how	how	SCONJ
ejpam-5753	63	7	control	control	NOUN
ejpam-5753	63	8	can	can	AUX
ejpam-5753	63	9	propagate	propagate	VERB
ejpam-5753	63	10	through	through	ADP
ejpam-5753	63	11	a	a	DET
ejpam-5753	63	12	network	network	NOUN
ejpam-5753	63	13	.	.	PUNCT
ejpam-5753	64	1	the	the	DET
ejpam-5753	64	2	cardinality	cardinality	NOUN
ejpam-5753	64	3	of	of	ADP
ejpam-5753	64	4	a	a	DET
ejpam-5753	64	5	minimum	minimum	ADJ
ejpam-5753	64	6	zero	zero	NUM
ejpam-5753	64	7	forcing	force	VERB
ejpam-5753	64	8	set	set	NOUN
ejpam-5753	64	9	of	of	ADP
ejpam-5753	64	10	g	g	PROPN
ejpam-5753	64	11	is	be	AUX
ejpam-5753	64	12	represented	represent	VERB
ejpam-5753	64	13	by	by	ADP
ejpam-5753	64	14	ζ(g	ζ(g	NOUN
ejpam-5753	64	15	)	)	PUNCT
ejpam-5753	65	1	[	[	X
ejpam-5753	65	2	3	3	NUM
ejpam-5753	65	3	]	]	PUNCT
ejpam-5753	65	4	.	.	PUNCT
ejpam-5753	66	1	in	in	ADP
ejpam-5753	66	2	figure	figure	NOUN
ejpam-5753	66	3	1	1	NUM
ejpam-5753	66	4	,	,	PUNCT
ejpam-5753	66	5	we	we	PRON
ejpam-5753	66	6	illustrate	illustrate	VERB
ejpam-5753	66	7	as	as	SCONJ
ejpam-5753	66	8	follows	follow	VERB
ejpam-5753	66	9	:	:	PUNCT
ejpam-5753	66	10	for	for	ADP
ejpam-5753	66	11	the	the	DET
ejpam-5753	66	12	graph	graph	NOUN
ejpam-5753	66	13	g	g	NOUN
ejpam-5753	66	14	,	,	PUNCT
ejpam-5753	66	15	in	in	ADP
ejpam-5753	66	16	figure	figure	NOUN
ejpam-5753	66	17	1(a	1(a	NUM
ejpam-5753	66	18	)	)	PUNCT
ejpam-5753	66	19	,	,	PUNCT
ejpam-5753	66	20	the	the	DET
ejpam-5753	66	21	vertex	vertex	NOUN
ejpam-5753	66	22	labeled	label	VERB
ejpam-5753	66	23	1	1	NUM
ejpam-5753	66	24	marked	mark	VERB
ejpam-5753	66	25	in	in	ADP
ejpam-5753	66	26	red	red	ADJ
ejpam-5753	66	27	,	,	PUNCT
ejpam-5753	66	28	is	be	AUX
ejpam-5753	66	29	a	a	DET
ejpam-5753	66	30	power	power	NOUN
ejpam-5753	66	31	dominating	dominating	NOUN
ejpam-5753	66	32	set	set	NOUN
ejpam-5753	66	33	.	.	PUNCT
ejpam-5753	67	1	at	at	ADP
ejpam-5753	67	2	the	the	DET
ejpam-5753	67	3	first	first	ADJ
ejpam-5753	67	4	time	time	NOUN
ejpam-5753	67	5	step	step	NOUN
ejpam-5753	67	6	,	,	PUNCT
ejpam-5753	67	7	vertex	vertex	NOUN
ejpam-5753	67	8	1	1	NUM
ejpam-5753	67	9	monitors	monitor	NOUN
ejpam-5753	67	10	vertex	vertex	NOUN
ejpam-5753	67	11	2	2	NUM
ejpam-5753	67	12	and	and	CCONJ
ejpam-5753	67	13	vertex	vertex	NOUN
ejpam-5753	67	14	3	3	NUM
ejpam-5753	67	15	,	,	PUNCT
ejpam-5753	67	16	further	further	ADJ
ejpam-5753	67	17	propagation	propagation	NOUN
ejpam-5753	67	18	not	not	PART
ejpam-5753	67	19	possible	possible	ADJ
ejpam-5753	67	20	from	from	ADP
ejpam-5753	67	21	vertices	vertex	NOUN
ejpam-5753	67	22	labeled	label	VERB
ejpam-5753	67	23	2	2	NUM
ejpam-5753	67	24	and	and	CCONJ
ejpam-5753	67	25	3	3	NUM
ejpam-5753	67	26	.	.	PUNCT
ejpam-5753	67	27	now	now	ADV
ejpam-5753	67	28	include	include	VERB
ejpam-5753	67	29	one	one	NUM
ejpam-5753	67	30	more	more	ADJ
ejpam-5753	67	31	vertex	vertex	NOUN
ejpam-5753	67	32	in	in	ADP
ejpam-5753	67	33	a	a	DET
ejpam-5753	67	34	power	power	NOUN
ejpam-5753	67	35	dominating	dominating	NOUN
ejpam-5753	67	36	set	set	VERB
ejpam-5753	67	37	in	in	ADP
ejpam-5753	67	38	vertex	vertex	NOUN
ejpam-5753	67	39	labeled	label	VERB
ejpam-5753	67	40	as	as	ADP
ejpam-5753	67	41	3	3	NUM
ejpam-5753	67	42	,	,	PUNCT
ejpam-5753	67	43	then	then	ADV
ejpam-5753	67	44	at	at	ADP
ejpam-5753	67	45	the	the	DET
ejpam-5753	67	46	second	second	ADJ
ejpam-5753	67	47	time	time	NOUN
ejpam-5753	67	48	step	step	NOUN
ejpam-5753	67	49	,	,	PUNCT
ejpam-5753	67	50	vertex	vertex	NOUN
ejpam-5753	67	51	3	3	NUM
ejpam-5753	67	52	monitors	monitor	NOUN
ejpam-5753	67	53	vertices	vertice	VERB
ejpam-5753	67	54	5	5	NUM
ejpam-5753	67	55	and	and	CCONJ
ejpam-5753	67	56	6	6	NUM
ejpam-5753	67	57	,	,	PUNCT
ejpam-5753	67	58	vertex	vertex	NOUN
ejpam-5753	67	59	2	2	NUM
ejpam-5753	67	60	monitors	monitor	NOUN
ejpam-5753	67	61	vertex	vertex	NOUN
ejpam-5753	67	62	8	8	NUM
ejpam-5753	67	63	,	,	PUNCT
ejpam-5753	67	64	and	and	CCONJ
ejpam-5753	67	65	at	at	ADP
ejpam-5753	67	66	the	the	DET
ejpam-5753	67	67	third	third	ADJ
ejpam-5753	67	68	time	time	NOUN
ejpam-5753	67	69	step	step	NOUN
ejpam-5753	67	70	,	,	PUNCT
ejpam-5753	67	71	vertex	vertex	NOUN
ejpam-5753	67	72	4	4	NUM
ejpam-5753	67	73	monitors	monitor	NOUN
ejpam-5753	67	74	vertex	vertex	NOUN
ejpam-5753	67	75	7	7	NUM
ejpam-5753	67	76	.	.	PUNCT
ejpam-5753	67	77	for	for	ADP
ejpam-5753	67	78	the	the	DET
ejpam-5753	67	79	same	same	ADJ
ejpam-5753	67	80	graph	graph	NOUN
ejpam-5753	67	81	g	g	NOUN
ejpam-5753	67	82	,	,	PUNCT
ejpam-5753	67	83	in	in	ADP
ejpam-5753	67	84	figure	figure	NOUN
ejpam-5753	67	85	1(b	1(b	NUM
ejpam-5753	67	86	)	)	PUNCT
ejpam-5753	67	87	,	,	PUNCT
ejpam-5753	67	88	we	we	PRON
ejpam-5753	67	89	determine	determine	VERB
ejpam-5753	67	90	a	a	DET
ejpam-5753	67	91	2	2	NUM
ejpam-5753	67	92	-	-	PUNCT
ejpam-5753	67	93	power	power	NOUN
ejpam-5753	67	94	dominating	dominating	NOUN
ejpam-5753	67	95	set	set	NOUN
ejpam-5753	67	96	s	s	PRON
ejpam-5753	67	97	as	as	SCONJ
ejpam-5753	67	98	follows	follow	VERB
ejpam-5753	67	99	:	:	PUNCT
ejpam-5753	67	100	the	the	DET
ejpam-5753	67	101	vertex	vertex	NOUN
ejpam-5753	67	102	labeled	label	VERB
ejpam-5753	67	103	1	1	NUM
ejpam-5753	67	104	marked	mark	VERB
ejpam-5753	67	105	in	in	ADP
ejpam-5753	67	106	red	red	PROPN
ejpam-5753	67	107	is	be	AUX
ejpam-5753	67	108	a	a	DET
ejpam-5753	67	109	2	2	NUM
ejpam-5753	67	110	-	-	PUNCT
ejpam-5753	67	111	power	power	NOUN
ejpam-5753	67	112	dominating	dominating	NOUN
ejpam-5753	67	113	set	set	NOUN
ejpam-5753	67	114	.	.	PUNCT
ejpam-5753	68	1	at	at	ADP
ejpam-5753	68	2	the	the	DET
ejpam-5753	68	3	first	first	ADJ
ejpam-5753	68	4	time	time	NOUN
ejpam-5753	68	5	step	step	NOUN
ejpam-5753	68	6	,	,	PUNCT
ejpam-5753	68	7	vertex	vertex	NOUN
ejpam-5753	68	8	1	1	NUM
ejpam-5753	68	9	monitors	monitor	NOUN
ejpam-5753	68	10	vertex	vertex	NOUN
ejpam-5753	68	11	2	2	NUM
ejpam-5753	68	12	and	and	CCONJ
ejpam-5753	68	13	vertex	vertex	NOUN
ejpam-5753	68	14	3	3	NUM
ejpam-5753	68	15	.	.	PUNCT
ejpam-5753	69	1	at	at	ADP
ejpam-5753	69	2	the	the	DET
ejpam-5753	69	3	second	second	ADJ
ejpam-5753	69	4	time	time	NOUN
ejpam-5753	69	5	step	step	NOUN
ejpam-5753	69	6	,	,	PUNCT
ejpam-5753	69	7	vertex	vertex	NOUN
ejpam-5753	69	8	3	3	NUM
ejpam-5753	69	9	monitors	monitor	NOUN
ejpam-5753	69	10	vertices	vertice	VERB
ejpam-5753	69	11	5	5	NUM
ejpam-5753	69	12	and	and	CCONJ
ejpam-5753	69	13	6	6	NUM
ejpam-5753	69	14	,	,	PUNCT
ejpam-5753	69	15	vertex	vertex	NOUN
ejpam-5753	69	16	2	2	NUM
ejpam-5753	69	17	monitors	monitor	NOUN
ejpam-5753	69	18	vertex	vertex	NOUN
ejpam-5753	69	19	8	8	NUM
ejpam-5753	69	20	.	.	PUNCT
ejpam-5753	70	1	finally	finally	ADV
ejpam-5753	70	2	,	,	PUNCT
ejpam-5753	70	3	at	at	ADP
ejpam-5753	70	4	the	the	DET
ejpam-5753	70	5	third	third	ADJ
ejpam-5753	70	6	time	time	NOUN
ejpam-5753	70	7	step	step	NOUN
ejpam-5753	70	8	,	,	PUNCT
ejpam-5753	70	9	vertex	vertex	NOUN
ejpam-5753	70	10	4	4	NUM
ejpam-5753	70	11	monitors	monitor	NOUN
ejpam-5753	70	12	vertex	vertex	NOUN
ejpam-5753	70	13	7	7	NUM
ejpam-5753	70	14	,	,	PUNCT
ejpam-5753	70	15	completing	complete	VERB
ejpam-5753	70	16	the	the	DET
ejpam-5753	70	17	monitoring	monitoring	NOUN
ejpam-5753	70	18	process	process	NOUN
ejpam-5753	70	19	in	in	ADP
ejpam-5753	70	20	fewer	few	ADJ
ejpam-5753	70	21	steps	step	NOUN
ejpam-5753	70	22	.	.	PUNCT
ejpam-5753	71	1	this	this	PRON
ejpam-5753	71	2	demonstrates	demonstrate	VERB
ejpam-5753	71	3	the	the	DET
ejpam-5753	71	4	efficiency	efficiency	NOUN
ejpam-5753	71	5	of	of	ADP
ejpam-5753	71	6	a	a	DET
ejpam-5753	71	7	2	2	NUM
ejpam-5753	71	8	-	-	PUNCT
ejpam-5753	71	9	power	power	NOUN
ejpam-5753	71	10	dominating	dominating	NOUN
ejpam-5753	71	11	set	set	VERB
ejpam-5753	71	12	in	in	ADP
ejpam-5753	71	13	reducing	reduce	VERB
ejpam-5753	71	14	the	the	DET
ejpam-5753	71	15	number	number	NOUN
ejpam-5753	71	16	of	of	ADP
ejpam-5753	71	17	monitored	monitor	VERB
ejpam-5753	71	18	steps	step	NOUN
ejpam-5753	71	19	.	.	PUNCT
ejpam-5753	72	1	2	2	X
ejpam-5753	72	2	.	.	X
ejpam-5753	72	3	literature	literature	NOUN
ejpam-5753	72	4	review	review	VERB
ejpam-5753	72	5	the	the	DET
ejpam-5753	72	6	pd	pd	PROPN
ejpam-5753	72	7	problem	problem	NOUN
ejpam-5753	72	8	is	be	AUX
ejpam-5753	72	9	np	np	ADV
ejpam-5753	72	10	-complete	-complete	ADJ
ejpam-5753	72	11	.	.	PUNCT
ejpam-5753	73	1	even	even	ADV
ejpam-5753	73	2	when	when	SCONJ
ejpam-5753	73	3	restricted	restrict	VERB
ejpam-5753	73	4	to	to	ADP
ejpam-5753	73	5	chordal	chordal	NOUN
ejpam-5753	73	6	and	and	CCONJ
ejpam-5753	73	7	bipartite	bipartite	ADJ
ejpam-5753	73	8	graphs	graph	NOUN
ejpam-5753	73	9	or	or	CCONJ
ejpam-5753	73	10	even	even	ADV
ejpam-5753	73	11	split	split	ADJ
ejpam-5753	73	12	graphs	graph	NOUN
ejpam-5753	73	13	,	,	PUNCT
ejpam-5753	73	14	which	which	PRON
ejpam-5753	73	15	are	be	AUX
ejpam-5753	73	16	a	a	DET
ejpam-5753	73	17	subclass	subclass	NOUN
ejpam-5753	73	18	of	of	ADP
ejpam-5753	73	19	chordal	chordal	NOUN
ejpam-5753	73	20	graphs	graph	NOUN
ejpam-5753	73	21	and	and	CCONJ
ejpam-5753	73	22	it	it	PRON
ejpam-5753	73	23	has	have	AUX
ejpam-5753	73	24	been	be	AUX
ejpam-5753	73	25	j.	j.	PROPN
ejpam-5753	73	26	anitha	anitha	PROPN
ejpam-5753	73	27	et	et	PROPN
ejpam-5753	73	28	al	al	PROPN
ejpam-5753	73	29	.	.	PUNCT
ejpam-5753	73	30	/	/	SYM
ejpam-5753	73	31	eur	eur	PROPN
ejpam-5753	73	32	.	.	PUNCT
ejpam-5753	74	1	j.	j.	PROPN
ejpam-5753	74	2	pure	pure	PROPN
ejpam-5753	74	3	appl	appl	PROPN
ejpam-5753	74	4	.	.	PROPN
ejpam-5753	74	5	math	math	PROPN
ejpam-5753	74	6	,	,	PUNCT
ejpam-5753	74	7	18	18	NUM
ejpam-5753	74	8	(	(	PUNCT
ejpam-5753	74	9	1	1	NUM
ejpam-5753	74	10	)	)	PUNCT
ejpam-5753	74	11	(	(	PUNCT
ejpam-5753	74	12	2025	2025	NUM
ejpam-5753	74	13	)	)	PUNCT
ejpam-5753	74	14	,	,	PUNCT
ejpam-5753	74	15	5753	5753	NUM
ejpam-5753	74	16	5	5	NUM
ejpam-5753	74	17	of	of	ADP
ejpam-5753	74	18	16	16	NUM
ejpam-5753	74	19	shown	show	VERB
ejpam-5753	74	20	to	to	PART
ejpam-5753	74	21	be	be	AUX
ejpam-5753	74	22	np	np	ADV
ejpam-5753	74	23	-complete	-complete	ADJ
ejpam-5753	74	24	.	.	PUNCT
ejpam-5753	75	1	but	but	CCONJ
ejpam-5753	75	2	in	in	ADP
ejpam-5753	75	3	the	the	DET
ejpam-5753	75	4	case	case	NOUN
ejpam-5753	75	5	of	of	ADP
ejpam-5753	75	6	interval	interval	NOUN
ejpam-5753	75	7	graphs	graph	NOUN
ejpam-5753	75	8	,	,	PUNCT
ejpam-5753	75	9	liao	liao	PROPN
ejpam-5753	75	10	and	and	CCONJ
ejpam-5753	75	11	lee	lee	PROPN
ejpam-5753	75	12	presented	present	VERB
ejpam-5753	75	13	a	a	DET
ejpam-5753	75	14	linear	linear	ADJ
ejpam-5753	75	15	method	method	NOUN
ejpam-5753	75	16	for	for	ADP
ejpam-5753	75	17	this	this	DET
ejpam-5753	75	18	problem	problem	NOUN
ejpam-5753	75	19	,	,	PUNCT
ejpam-5753	75	20	assuming	assume	VERB
ejpam-5753	75	21	that	that	SCONJ
ejpam-5753	75	22	the	the	DET
ejpam-5753	75	23	graph	graph	NOUN
ejpam-5753	75	24	’s	’s	PART
ejpam-5753	75	25	interval	interval	NOUN
ejpam-5753	75	26	ordering	ordering	NOUN
ejpam-5753	75	27	is	be	AUX
ejpam-5753	75	28	known	know	VERB
ejpam-5753	75	29	[	[	PUNCT
ejpam-5753	75	30	15	15	NUM
ejpam-5753	75	31	]	]	PUNCT
ejpam-5753	75	32	.	.	PUNCT
ejpam-5753	76	1	in	in	ADP
ejpam-5753	76	2	the	the	DET
ejpam-5753	76	3	absence	absence	NOUN
ejpam-5753	76	4	of	of	ADP
ejpam-5753	76	5	interval	interval	NOUN
ejpam-5753	76	6	order	order	NOUN
ejpam-5753	76	7	,	,	PUNCT
ejpam-5753	76	8	they	they	PRON
ejpam-5753	76	9	provided	provide	VERB
ejpam-5753	76	10	an	an	DET
ejpam-5753	76	11	o(nlogn	o(nlogn	NOUN
ejpam-5753	76	12	)	)	PUNCT
ejpam-5753	76	13	algorithm	algorithm	NOUN
ejpam-5753	76	14	,	,	PUNCT
ejpam-5753	76	15	which	which	PRON
ejpam-5753	76	16	they	they	PRON
ejpam-5753	76	17	demonstrated	demonstrate	VERB
ejpam-5753	76	18	to	to	PART
ejpam-5753	76	19	be	be	AUX
ejpam-5753	76	20	asymptotically	asymptotically	ADV
ejpam-5753	76	21	optimal	optimal	ADJ
ejpam-5753	76	22	.	.	PUNCT
ejpam-5753	77	1	for	for	ADP
ejpam-5753	77	2	trees	tree	NOUN
ejpam-5753	77	3	and	and	CCONJ
ejpam-5753	77	4	,	,	PUNCT
ejpam-5753	77	5	more	more	ADV
ejpam-5753	77	6	broadly	broadly	ADV
ejpam-5753	77	7	,	,	PUNCT
ejpam-5753	77	8	graphs	graph	NOUN
ejpam-5753	77	9	with	with	ADP
ejpam-5753	77	10	bounded	bounded	ADJ
ejpam-5753	77	11	treewidth	treewidth	NOUN
ejpam-5753	77	12	,	,	PUNCT
ejpam-5753	77	13	more	more	ADV
ejpam-5753	77	14	effective	effective	ADJ
ejpam-5753	77	15	techniques	technique	NOUN
ejpam-5753	77	16	have	have	AUX
ejpam-5753	77	17	been	be	AUX
ejpam-5753	77	18	proposed	propose	VERB
ejpam-5753	77	19	[	[	X
ejpam-5753	77	20	12	12	NUM
ejpam-5753	77	21	]	]	PUNCT
ejpam-5753	77	22	.	.	PUNCT
ejpam-5753	78	1	the	the	DET
ejpam-5753	78	2	pdn	pdn	NOUN
ejpam-5753	78	3	of	of	ADP
ejpam-5753	78	4	g	g	PROPN
ejpam-5753	78	5	,	,	PUNCT
ejpam-5753	78	6	γp(g	γp(g	NUM
ejpam-5753	78	7	)	)	PUNCT
ejpam-5753	78	8	≥	≥	NOUN
ejpam-5753	78	9	1	1	NUM
ejpam-5753	79	1	[	[	X
ejpam-5753	79	2	11	11	NUM
ejpam-5753	79	3	]	]	PUNCT
ejpam-5753	79	4	.	.	PUNCT
ejpam-5753	80	1	dorfling	dorfle	VERB
ejpam-5753	80	2	and	and	CCONJ
ejpam-5753	80	3	henning	henne	VERB
ejpam-5753	80	4	[	[	X
ejpam-5753	80	5	9	9	NUM
ejpam-5753	80	6	]	]	PUNCT
ejpam-5753	80	7	determined	determine	VERB
ejpam-5753	80	8	the	the	DET
ejpam-5753	80	9	pdn	pdn	NOUN
ejpam-5753	80	10	and	and	CCONJ
ejpam-5753	80	11	minimal	minimal	ADJ
ejpam-5753	80	12	power	power	NOUN
ejpam-5753	80	13	dominating	dominating	NOUN
ejpam-5753	80	14	sets	set	NOUN
ejpam-5753	80	15	for	for	ADP
ejpam-5753	80	16	grid	grid	NOUN
ejpam-5753	80	17	graphs	graph	NOUN
ejpam-5753	80	18	.	.	PUNCT
ejpam-5753	81	1	dorbec	dorbec	PROPN
ejpam-5753	81	2	et	et	PROPN
ejpam-5753	81	3	al	al	PROPN
ejpam-5753	81	4	.	.	PROPN
ejpam-5753	81	5	calculated	calculate	VERB
ejpam-5753	81	6	γp(g	γp(g	NOUN
ejpam-5753	81	7	)	)	PUNCT
ejpam-5753	81	8	in	in	ADP
ejpam-5753	81	9	[	[	X
ejpam-5753	81	10	3	3	X
ejpam-5753	81	11	]	]	PUNCT
ejpam-5753	81	12	when	when	SCONJ
ejpam-5753	81	13	g	g	PROPN
ejpam-5753	81	14	is	be	AUX
ejpam-5753	81	15	the	the	DET
ejpam-5753	81	16	lexicographic	lexicographic	ADJ
ejpam-5753	81	17	product	product	NOUN
ejpam-5753	81	18	of	of	ADP
ejpam-5753	81	19	any	any	DET
ejpam-5753	81	20	two	two	NUM
ejpam-5753	81	21	path	path	NOUN
ejpam-5753	81	22	graphs	graph	NOUN
ejpam-5753	81	23	.	.	PUNCT
ejpam-5753	82	1	subsequently	subsequently	ADV
ejpam-5753	82	2	,	,	PUNCT
ejpam-5753	82	3	barrera	barrera	NOUN
ejpam-5753	82	4	and	and	CCONJ
ejpam-5753	82	5	ferrero	ferrero	PROPN
ejpam-5753	82	6	found	find	VERB
ejpam-5753	82	7	numerous	numerous	ADJ
ejpam-5753	82	8	instances	instance	NOUN
ejpam-5753	82	9	in	in	ADP
ejpam-5753	82	10	which	which	PRON
ejpam-5753	82	11	their	their	PRON
ejpam-5753	82	12	upper	upper	ADJ
ejpam-5753	82	13	bounds	bound	NOUN
ejpam-5753	82	14	for	for	ADP
ejpam-5753	82	15	γp(g	γp(g	NOUN
ejpam-5753	82	16	)	)	PUNCT
ejpam-5753	82	17	correspond	correspond	VERB
ejpam-5753	82	18	with	with	ADP
ejpam-5753	82	19	the	the	DET
ejpam-5753	82	20	power	power	NOUN
ejpam-5753	82	21	domination	domination	NOUN
ejpam-5753	82	22	number	number	NOUN
ejpam-5753	82	23	whether	whether	SCONJ
ejpam-5753	82	24	g	g	PROPN
ejpam-5753	82	25	is	be	AUX
ejpam-5753	82	26	a	a	DET
ejpam-5753	82	27	cylinder	cylinder	NOUN
ejpam-5753	82	28	,	,	PUNCT
ejpam-5753	82	29	a	a	DET
ejpam-5753	82	30	torus	torus	NOUN
ejpam-5753	82	31	,	,	PUNCT
ejpam-5753	82	32	or	or	CCONJ
ejpam-5753	82	33	a	a	DET
ejpam-5753	82	34	generalised	generalise	VERB
ejpam-5753	82	35	petersen	petersen	NOUN
ejpam-5753	82	36	graph	graph	NOUN
ejpam-5753	82	37	[	[	X
ejpam-5753	82	38	2	2	NUM
ejpam-5753	82	39	]	]	PUNCT
ejpam-5753	82	40	.	.	PUNCT
ejpam-5753	83	1	more	more	ADV
ejpam-5753	83	2	generally	generally	ADV
ejpam-5753	83	3	,	,	PUNCT
ejpam-5753	83	4	zhao	zhao	PROPN
ejpam-5753	83	5	,	,	PUNCT
ejpam-5753	83	6	kang	kang	PROPN
ejpam-5753	83	7	,	,	PUNCT
ejpam-5753	83	8	and	and	CCONJ
ejpam-5753	83	9	g.j	g.j	PROPN
ejpam-5753	83	10	.	.	PROPN
ejpam-5753	83	11	chang	chang	PROPN
ejpam-5753	83	12	provided	provide	VERB
ejpam-5753	83	13	upper	upper	ADJ
ejpam-5753	83	14	bounds	bound	NOUN
ejpam-5753	83	15	for	for	ADP
ejpam-5753	83	16	γp(g	γp(g	NOUN
ejpam-5753	83	17	)	)	PUNCT
ejpam-5753	83	18	for	for	ADP
ejpam-5753	83	19	an	an	DET
ejpam-5753	83	20	arbitrary	arbitrary	ADJ
ejpam-5753	83	21	graph	graph	NOUN
ejpam-5753	83	22	g	g	PROPN
ejpam-5753	84	1	[	[	X
ejpam-5753	84	2	22	22	NUM
ejpam-5753	84	3	]	]	PUNCT
ejpam-5753	84	4	.	.	PUNCT
ejpam-5753	85	1	additional	additional	ADJ
ejpam-5753	85	2	upper	upper	ADJ
ejpam-5753	85	3	bounds	bound	NOUN
ejpam-5753	85	4	have	have	AUX
ejpam-5753	85	5	been	be	AUX
ejpam-5753	85	6	provided	provide	VERB
ejpam-5753	85	7	for	for	ADP
ejpam-5753	85	8	claw	claw	NOUN
ejpam-5753	85	9	-	-	PUNCT
ejpam-5753	85	10	free	free	ADJ
ejpam-5753	85	11	graphs	graph	NOUN
ejpam-5753	85	12	[	[	X
ejpam-5753	85	13	22	22	NUM
ejpam-5753	85	14	]	]	PUNCT
ejpam-5753	85	15	and	and	CCONJ
ejpam-5753	85	16	block	block	NOUN
ejpam-5753	85	17	graphs	graph	NOUN
ejpam-5753	85	18	[	[	X
ejpam-5753	85	19	21	21	NUM
ejpam-5753	85	20	]	]	PUNCT
ejpam-5753	85	21	.	.	PUNCT
ejpam-5753	86	1	chang	chang	PROPN
ejpam-5753	86	2	et	et	PROPN
ejpam-5753	86	3	al	al	PROPN
ejpam-5753	86	4	.	.	PUNCT
ejpam-5753	87	1	[	[	X
ejpam-5753	87	2	5	5	NUM
ejpam-5753	87	3	]	]	PUNCT
ejpam-5753	87	4	present	present	NOUN
ejpam-5753	87	5	the	the	DET
ejpam-5753	87	6	k	k	PROPN
ejpam-5753	87	7	-	-	NOUN
ejpam-5753	87	8	pd	pd	NOUN
ejpam-5753	87	9	,	,	PUNCT
ejpam-5753	87	10	which	which	PRON
ejpam-5753	87	11	is	be	AUX
ejpam-5753	87	12	a	a	DET
ejpam-5753	87	13	generalization	generalization	NOUN
ejpam-5753	87	14	of	of	ADP
ejpam-5753	87	15	power	power	NOUN
ejpam-5753	87	16	domination(pd	domination(pd	PROPN
ejpam-5753	87	17	)	)	PUNCT
ejpam-5753	87	18	in	in	ADP
ejpam-5753	87	19	graphs	graph	NOUN
ejpam-5753	87	20	.	.	PUNCT
ejpam-5753	88	1	the	the	DET
ejpam-5753	88	2	k	k	NOUN
ejpam-5753	88	3	-	-	NOUN
ejpam-5753	88	4	pdn	pdn	NOUN
ejpam-5753	88	5	is	be	AUX
ejpam-5753	88	6	an	an	DET
ejpam-5753	88	7	np	np	NOUN
ejpam-5753	88	8	-	-	PUNCT
ejpam-5753	88	9	complete	complete	ADJ
ejpam-5753	88	10	problem	problem	NOUN
ejpam-5753	88	11	as	as	SCONJ
ejpam-5753	88	12	demonstrated	demonstrate	VERB
ejpam-5753	88	13	by	by	ADP
ejpam-5753	88	14	the	the	DET
ejpam-5753	88	15	computation	computation	NOUN
ejpam-5753	88	16	of	of	ADP
ejpam-5753	88	17	the	the	DET
ejpam-5753	88	18	problem	problem	NOUN
ejpam-5753	88	19	’s	’s	PART
ejpam-5753	88	20	complexity	complexity	NOUN
ejpam-5753	88	21	in	in	ADP
ejpam-5753	88	22	their	their	PRON
ejpam-5753	88	23	work	work	NOUN
ejpam-5753	88	24	.	.	PUNCT
ejpam-5753	89	1	[	[	X
ejpam-5753	89	2	5	5	NUM
ejpam-5753	89	3	]	]	PUNCT
ejpam-5753	89	4	demonstrates	demonstrate	VERB
ejpam-5753	89	5	the	the	DET
ejpam-5753	89	6	sharpness	sharpness	NOUN
ejpam-5753	89	7	of	of	ADP
ejpam-5753	89	8	the	the	DET
ejpam-5753	89	9	bound	bind	VERB
ejpam-5753	89	10	and	and	CCONJ
ejpam-5753	89	11	shows	show	VERB
ejpam-5753	89	12	that	that	SCONJ
ejpam-5753	89	13	for	for	ADP
ejpam-5753	89	14	any	any	DET
ejpam-5753	89	15	connected	connected	ADJ
ejpam-5753	89	16	graph	graph	NOUN
ejpam-5753	89	17	g	g	PROPN
ejpam-5753	89	18	of	of	ADP
ejpam-5753	89	19	rank	rank	NOUN
ejpam-5753	89	20	n	n	PROPN
ejpam-5753	89	21	,	,	PUNCT
ejpam-5753	89	22	γpk	γpk	PROPN
ejpam-5753	89	23	(	(	PUNCT
ejpam-5753	89	24	g	g	NOUN
ejpam-5753	89	25	)	)	PUNCT
ejpam-5753	89	26	<	<	X
ejpam-5753	89	27	n	n	DET
ejpam-5753	89	28	k+2	k+2	PROPN
ejpam-5753	89	29	.	.	PUNCT
ejpam-5753	90	1	additionally	additionally	ADV
ejpam-5753	90	2	,	,	PUNCT
ejpam-5753	90	3	it	it	PRON
ejpam-5753	90	4	is	be	AUX
ejpam-5753	90	5	demonstrated	demonstrate	VERB
ejpam-5753	90	6	that	that	SCONJ
ejpam-5753	90	7	for	for	ADP
ejpam-5753	90	8	any	any	DET
ejpam-5753	90	9	(	(	PUNCT
ejpam-5753	90	10	k	k	NOUN
ejpam-5753	90	11	+	+	CCONJ
ejpam-5753	90	12	2)-regular	2)-regular	NUM
ejpam-5753	90	13	graph	graph	NOUN
ejpam-5753	90	14	of	of	ADP
ejpam-5753	90	15	rank	rank	NOUN
ejpam-5753	90	16	n	n	PROPN
ejpam-5753	90	17	,	,	PUNCT
ejpam-5753	90	18	γpk	γpk	PROPN
ejpam-5753	90	19	(	(	PUNCT
ejpam-5753	90	20	g	g	NOUN
ejpam-5753	90	21	)	)	PUNCT
ejpam-5753	90	22	<	<	X
ejpam-5753	91	1	n	n	PRON
ejpam-5753	91	2	k+3	k+3	NOUN
ejpam-5753	91	3	,	,	PUNCT
ejpam-5753	91	4	and	and	CCONJ
ejpam-5753	91	5	the	the	DET
ejpam-5753	91	6	graphs	graph	NOUN
ejpam-5753	91	7	that	that	PRON
ejpam-5753	91	8	meet	meet	VERB
ejpam-5753	91	9	this	this	DET
ejpam-5753	91	10	last	last	ADJ
ejpam-5753	91	11	restriction	restriction	NOUN
ejpam-5753	91	12	are	be	AUX
ejpam-5753	91	13	described	describe	VERB
ejpam-5753	91	14	.	.	PUNCT
ejpam-5753	92	1	the	the	DET
ejpam-5753	92	2	concept	concept	NOUN
ejpam-5753	92	3	of	of	ADP
ejpam-5753	92	4	propagation	propagation	NOUN
ejpam-5753	92	5	radius	radius	NOUN
ejpam-5753	92	6	is	be	AUX
ejpam-5753	92	7	presented	present	VERB
ejpam-5753	92	8	by	by	ADP
ejpam-5753	92	9	dorbec	dorbec	PROPN
ejpam-5753	92	10	et	et	PROPN
ejpam-5753	92	11	al	al	PROPN
ejpam-5753	92	12	.	.	PUNCT
ejpam-5753	93	1	[	[	X
ejpam-5753	93	2	7	7	NUM
ejpam-5753	93	3	]	]	PUNCT
ejpam-5753	93	4	,	,	PUNCT
ejpam-5753	93	5	defining	define	VERB
ejpam-5753	93	6	it	it	PRON
ejpam-5753	93	7	as	as	ADP
ejpam-5753	93	8	the	the	DET
ejpam-5753	93	9	least	least	ADJ
ejpam-5753	93	10	number	number	NOUN
ejpam-5753	93	11	of	of	ADP
ejpam-5753	93	12	steps	step	NOUN
ejpam-5753	93	13	required	require	VERB
ejpam-5753	93	14	for	for	ADP
ejpam-5753	93	15	the	the	DET
ejpam-5753	93	16	propagation	propagation	NOUN
ejpam-5753	93	17	of	of	ADP
ejpam-5753	93	18	k	k	PROPN
ejpam-5753	93	19	pd	pd	PROPN
ejpam-5753	93	20	sets	set	NOUN
ejpam-5753	93	21	.	.	PUNCT
ejpam-5753	94	1	the	the	DET
ejpam-5753	94	2	propagation	propagation	NOUN
ejpam-5753	94	3	radius	radius	NOUN
ejpam-5753	94	4	for	for	ADP
ejpam-5753	94	5	a	a	DET
ejpam-5753	94	6	significant	significant	ADJ
ejpam-5753	94	7	range	range	NOUN
ejpam-5753	94	8	of	of	ADP
ejpam-5753	94	9	parameters	parameter	NOUN
ejpam-5753	94	10	in	in	ADP
ejpam-5753	94	11	sierpinski	sierpinski	ADJ
ejpam-5753	94	12	graphs	graph	NOUN
ejpam-5753	94	13	sn	sn	PROPN
ejpam-5753	94	14	is	be	AUX
ejpam-5753	94	15	specifically	specifically	ADV
ejpam-5753	94	16	determined	determine	VERB
ejpam-5753	94	17	in	in	ADP
ejpam-5753	94	18	the	the	DET
ejpam-5753	94	19	paper	paper	NOUN
ejpam-5753	94	20	.	.	PUNCT
ejpam-5753	95	1	however	however	ADV
ejpam-5753	95	2	,	,	PUNCT
ejpam-5753	95	3	challenges	challenge	NOUN
ejpam-5753	95	4	are	be	AUX
ejpam-5753	95	5	faced	face	VERB
ejpam-5753	95	6	in	in	ADP
ejpam-5753	95	7	establishing	establish	VERB
ejpam-5753	95	8	concise	concise	ADJ
ejpam-5753	95	9	formulas	formula	NOUN
ejpam-5753	95	10	,	,	PUNCT
ejpam-5753	95	11	particularly	particularly	ADV
ejpam-5753	95	12	for	for	ADP
ejpam-5753	95	13	sierpinski	sierpinski	ADJ
ejpam-5753	95	14	graphs	graph	NOUN
ejpam-5753	95	15	sp	sp	ADP
ejpam-5753	95	16	n	n	CCONJ
ejpam-5753	95	17	,	,	PUNCT
ejpam-5753	95	18	where	where	SCONJ
ejpam-5753	95	19	2k	2k	NOUN
ejpam-5753	95	20	+	+	CCONJ
ejpam-5753	95	21	2	2	NUM
ejpam-5753	95	22	≥	≥	NOUN
ejpam-5753	95	23	p	p	NOUN
ejpam-5753	95	24	≥	≥	NOUN
ejpam-5753	95	25	k	k	NOUN
ejpam-5753	96	1	+	+	CCONJ
ejpam-5753	96	2	1	1	NUM
ejpam-5753	96	3	+	+	CCONJ
ejpam-5753	96	4	√	√	PROPN
ejpam-5753	96	5	k	k	NOUN
ejpam-5753	97	1	+	+	CCONJ
ejpam-5753	97	2	1	1	NUM
ejpam-5753	97	3	and	and	CCONJ
ejpam-5753	97	4	n	n	PRON
ejpam-5753	97	5	≥	≥	NOUN
ejpam-5753	97	6	3	3	NUM
ejpam-5753	97	7	.	.	PUNCT
ejpam-5753	98	1	the	the	DET
ejpam-5753	98	2	computational	computational	ADJ
ejpam-5753	98	3	complexity	complexity	NOUN
ejpam-5753	98	4	of	of	ADP
ejpam-5753	98	5	failed	fail	VERB
ejpam-5753	98	6	power	power	NOUN
ejpam-5753	98	7	domination	domination	NOUN
ejpam-5753	98	8	has	have	AUX
ejpam-5753	98	9	been	be	AUX
ejpam-5753	98	10	addressed	address	VERB
ejpam-5753	98	11	by	by	ADP
ejpam-5753	98	12	glasser	glasser	PROPN
ejpam-5753	98	13	et	et	PROPN
ejpam-5753	98	14	al	al	PROPN
ejpam-5753	98	15	.	.	PUNCT
ejpam-5753	99	1	[	[	X
ejpam-5753	99	2	10	10	NUM
ejpam-5753	99	3	]	]	PUNCT
ejpam-5753	99	4	,	,	PUNCT
ejpam-5753	99	5	highlighting	highlight	VERB
ejpam-5753	99	6	the	the	DET
ejpam-5753	99	7	np	np	NOUN
ejpam-5753	99	8	-	-	PUNCT
ejpam-5753	99	9	hardness	hardness	NOUN
ejpam-5753	99	10	of	of	ADP
ejpam-5753	99	11	power	power	NOUN
ejpam-5753	99	12	domination	domination	NOUN
ejpam-5753	99	13	computation	computation	NOUN
ejpam-5753	99	14	.	.	PUNCT
ejpam-5753	100	1	the	the	DET
ejpam-5753	100	2	paper	paper	NOUN
ejpam-5753	100	3	focuses	focus	VERB
ejpam-5753	100	4	on	on	ADP
ejpam-5753	100	5	identifying	identify	VERB
ejpam-5753	100	6	graphs	graph	NOUN
ejpam-5753	100	7	where	where	SCONJ
ejpam-5753	100	8	every	every	DET
ejpam-5753	100	9	vertex	vertex	NOUN
ejpam-5753	100	10	acts	act	VERB
ejpam-5753	100	11	as	as	ADP
ejpam-5753	100	12	its	its	PRON
ejpam-5753	100	13	own	own	ADJ
ejpam-5753	100	14	power	power	NOUN
ejpam-5753	100	15	dominating	dominating	NOUN
ejpam-5753	100	16	set	set	NOUN
ejpam-5753	100	17	(	(	PUNCT
ejpam-5753	100	18	pds	pds	NOUN
ejpam-5753	100	19	)	)	PUNCT
ejpam-5753	100	20	,	,	PUNCT
ejpam-5753	100	21	contributing	contribute	VERB
ejpam-5753	100	22	a	a	DET
ejpam-5753	100	23	list	list	NOUN
ejpam-5753	100	24	of	of	ADP
ejpam-5753	100	25	such	such	ADJ
ejpam-5753	100	26	graphs	graph	NOUN
ejpam-5753	100	27	.	.	PUNCT
ejpam-5753	101	1	however	however	ADV
ejpam-5753	101	2	,	,	PUNCT
ejpam-5753	101	3	while	while	SCONJ
ejpam-5753	101	4	offering	offer	VERB
ejpam-5753	101	5	this	this	DET
ejpam-5753	101	6	valuable	valuable	ADJ
ejpam-5753	101	7	insight	insight	NOUN
ejpam-5753	101	8	,	,	PUNCT
ejpam-5753	101	9	it	it	PRON
ejpam-5753	101	10	fails	fail	VERB
ejpam-5753	101	11	to	to	PART
ejpam-5753	101	12	explore	explore	VERB
ejpam-5753	101	13	specific	specific	ADJ
ejpam-5753	101	14	traits	trait	NOUN
ejpam-5753	101	15	and	and	CCONJ
ejpam-5753	101	16	properties	property	NOUN
ejpam-5753	101	17	of	of	ADP
ejpam-5753	101	18	graphs	graph	NOUN
ejpam-5753	101	19	with	with	ADP
ejpam-5753	101	20	a	a	DET
ejpam-5753	101	21	pd	pd	NOUN
ejpam-5753	101	22	number	number	NOUN
ejpam-5753	101	23	of	of	ADP
ejpam-5753	101	24	0	0	NUM
ejpam-5753	101	25	,	,	PUNCT
ejpam-5753	101	26	which	which	PRON
ejpam-5753	101	27	remains	remain	VERB
ejpam-5753	101	28	an	an	DET
ejpam-5753	101	29	uncharted	uncharted	ADJ
ejpam-5753	101	30	domain	domain	NOUN
ejpam-5753	101	31	.	.	PUNCT
ejpam-5753	102	1	significant	significant	ADJ
ejpam-5753	102	2	progress	progress	NOUN
ejpam-5753	102	3	has	have	AUX
ejpam-5753	102	4	been	be	AUX
ejpam-5753	102	5	made	make	VERB
ejpam-5753	102	6	by	by	ADP
ejpam-5753	102	7	brimkov	brimkov	X
ejpam-5753	102	8	et	et	PROPN
ejpam-5753	102	9	al	al	PROPN
ejpam-5753	102	10	.	.	PUNCT
ejpam-5753	103	1	[	[	X
ejpam-5753	103	2	4	4	X
ejpam-5753	103	3	]	]	PUNCT
ejpam-5753	103	4	in	in	ADP
ejpam-5753	103	5	exploring	explore	VERB
ejpam-5753	103	6	connected	connected	ADJ
ejpam-5753	103	7	pd	pd	NOUN
ejpam-5753	103	8	within	within	ADP
ejpam-5753	103	9	graphs	graph	NOUN
ejpam-5753	103	10	,	,	PUNCT
ejpam-5753	103	11	with	with	ADP
ejpam-5753	103	12	the	the	DET
ejpam-5753	103	13	np	np	NOUN
ejpam-5753	103	14	-	-	PUNCT
ejpam-5753	103	15	hardness	hardness	NOUN
ejpam-5753	103	16	of	of	ADP
ejpam-5753	103	17	determining	determine	VERB
ejpam-5753	103	18	the	the	DET
ejpam-5753	103	19	domination	domination	NOUN
ejpam-5753	103	20	number	number	NOUN
ejpam-5753	103	21	in	in	ADP
ejpam-5753	103	22	connected	connected	ADJ
ejpam-5753	103	23	graphs	graph	NOUN
ejpam-5753	103	24	being	be	AUX
ejpam-5753	103	25	firmly	firmly	ADV
ejpam-5753	103	26	established	establish	VERB
ejpam-5753	103	27	.	.	PUNCT
ejpam-5753	104	1	np	np	X
ejpam-5753	104	2	-	-	PUNCT
ejpam-5753	104	3	completeness	completeness	NOUN
ejpam-5753	104	4	of	of	ADP
ejpam-5753	104	5	certain	certain	ADJ
ejpam-5753	104	6	graphs	graph	NOUN
ejpam-5753	104	7	has	have	AUX
ejpam-5753	104	8	been	be	AUX
ejpam-5753	104	9	proven	prove	VERB
ejpam-5753	104	10	,	,	PUNCT
ejpam-5753	104	11	leading	lead	VERB
ejpam-5753	104	12	to	to	ADP
ejpam-5753	104	13	various	various	ADJ
ejpam-5753	104	14	structural	structural	ADJ
ejpam-5753	104	15	discoveries	discovery	NOUN
ejpam-5753	104	16	.	.	PUNCT
ejpam-5753	105	1	various	various	ADJ
ejpam-5753	105	2	structural	structural	ADJ
ejpam-5753	105	3	insights	insight	NOUN
ejpam-5753	105	4	have	have	AUX
ejpam-5753	105	5	been	be	AUX
ejpam-5753	105	6	provided	provide	VERB
ejpam-5753	105	7	by	by	ADP
ejpam-5753	105	8	their	their	PRON
ejpam-5753	105	9	research	research	NOUN
ejpam-5753	105	10	through	through	ADP
ejpam-5753	105	11	the	the	DET
ejpam-5753	105	12	proof	proof	NOUN
ejpam-5753	105	13	of	of	ADP
ejpam-5753	105	14	the	the	DET
ejpam-5753	105	15	np	np	NOUN
ejpam-5753	105	16	-	-	PUNCT
ejpam-5753	105	17	completeness	completeness	NOUN
ejpam-5753	105	18	of	of	ADP
ejpam-5753	105	19	specific	specific	ADJ
ejpam-5753	105	20	graphs	graph	NOUN
ejpam-5753	105	21	.	.	PUNCT
ejpam-5753	106	1	moreover	moreover	ADV
ejpam-5753	106	2	,	,	PUNCT
ejpam-5753	106	3	a	a	DET
ejpam-5753	106	4	formula	formula	NOUN
ejpam-5753	106	5	for	for	ADP
ejpam-5753	106	6	the	the	DET
ejpam-5753	106	7	bi	bi	ADJ
ejpam-5753	106	8	-	-	ADJ
ejpam-5753	106	9	connected	connected	ADJ
ejpam-5753	106	10	components	component	NOUN
ejpam-5753	106	11	’	'	PUNCT
ejpam-5753	106	12	numerical	numerical	ADJ
ejpam-5753	106	13	values	value	NOUN
ejpam-5753	106	14	and	and	CCONJ
ejpam-5753	106	15	the	the	DET
ejpam-5753	106	16	graph	graph	NOUN
ejpam-5753	106	17	’s	’s	PART
ejpam-5753	106	18	connected	connect	VERB
ejpam-5753	106	19	pd	pd	NOUN
ejpam-5753	106	20	number	number	NOUN
ejpam-5753	106	21	have	have	AUX
ejpam-5753	106	22	been	be	AUX
ejpam-5753	106	23	determined	determine	VERB
ejpam-5753	106	24	.	.	PUNCT
ejpam-5753	107	1	despite	despite	SCONJ
ejpam-5753	107	2	these	these	DET
ejpam-5753	107	3	successes	success	NOUN
ejpam-5753	107	4	,	,	PUNCT
ejpam-5753	107	5	attempts	attempt	VERB
ejpam-5753	107	6	to	to	PART
ejpam-5753	107	7	determine	determine	VERB
ejpam-5753	107	8	the	the	DET
ejpam-5753	107	9	pd	pd	PROPN
ejpam-5753	107	10	of	of	ADP
ejpam-5753	107	11	ieee	ieee	NOUN
ejpam-5753	107	12	bus	bus	NOUN
ejpam-5753	107	13	300	300	NUM
ejpam-5753	107	14	have	have	AUX
ejpam-5753	107	15	run	run	VERB
ejpam-5753	107	16	into	into	ADP
ejpam-5753	107	17	problems	problem	NOUN
ejpam-5753	107	18	since	since	SCONJ
ejpam-5753	107	19	the	the	DET
ejpam-5753	107	20	calculations	calculation	NOUN
ejpam-5753	107	21	have	have	AUX
ejpam-5753	107	22	exceeded	exceed	VERB
ejpam-5753	107	23	timeout	timeout	NOUN
ejpam-5753	107	24	limits	limit	NOUN
ejpam-5753	107	25	,	,	PUNCT
ejpam-5753	107	26	revealing	reveal	VERB
ejpam-5753	107	27	problems	problem	NOUN
ejpam-5753	107	28	with	with	ADP
ejpam-5753	107	29	the	the	DET
ejpam-5753	107	30	scalability	scalability	NOUN
ejpam-5753	107	31	of	of	ADP
ejpam-5753	107	32	the	the	DET
ejpam-5753	107	33	computations	computation	NOUN
ejpam-5753	107	34	and	and	CCONJ
ejpam-5753	107	35	their	their	PRON
ejpam-5753	107	36	practical	practical	ADJ
ejpam-5753	107	37	use	use	NOUN
ejpam-5753	107	38	.	.	PUNCT
ejpam-5753	108	1	the	the	DET
ejpam-5753	108	2	employment	employment	NOUN
ejpam-5753	108	3	of	of	ADP
ejpam-5753	108	4	bounded	bound	VERB
ejpam-5753	108	5	-	-	PUNCT
ejpam-5753	108	6	tree	tree	NOUN
ejpam-5753	108	7	width	width	ADJ
ejpam-5753	108	8	dynamic	dynamic	ADJ
ejpam-5753	108	9	programs	program	NOUN
ejpam-5753	108	10	to	to	PART
ejpam-5753	108	11	solve	solve	VERB
ejpam-5753	108	12	the	the	DET
ejpam-5753	108	13	power	power	NOUN
ejpam-5753	108	14	dominating	dominating	NOUN
ejpam-5753	108	15	set	set	NOUN
ejpam-5753	108	16	has	have	AUX
ejpam-5753	108	17	been	be	AUX
ejpam-5753	108	18	the	the	DET
ejpam-5753	108	19	main	main	ADJ
ejpam-5753	108	20	focus	focus	NOUN
ejpam-5753	108	21	of	of	ADP
ejpam-5753	108	22	guo	guo	PROPN
ejpam-5753	108	23	et	et	PROPN
ejpam-5753	108	24	al	al	PROPN
ejpam-5753	108	25	.	.	PUNCT
ejpam-5753	109	1	[	[	X
ejpam-5753	109	2	17	17	NUM
ejpam-5753	109	3	]	]	PUNCT
ejpam-5753	109	4	.	.	PUNCT
ejpam-5753	110	1	[	[	X
ejpam-5753	110	2	17	17	NUM
ejpam-5753	110	3	]	]	PUNCT
ejpam-5753	110	4	presents	present	VERB
ejpam-5753	110	5	a	a	DET
ejpam-5753	110	6	linear	linear	ADJ
ejpam-5753	110	7	-	-	PUNCT
ejpam-5753	110	8	time	time	NOUN
ejpam-5753	110	9	technique	technique	NOUN
ejpam-5753	110	10	that	that	PRON
ejpam-5753	110	11	is	be	AUX
ejpam-5753	110	12	streamlined	streamline	VERB
ejpam-5753	110	13	for	for	ADP
ejpam-5753	110	14	determining	determine	VERB
ejpam-5753	110	15	the	the	DET
ejpam-5753	110	16	pd	pd	PROPN
ejpam-5753	110	17	set	set	NOUN
ejpam-5753	110	18	in	in	ADP
ejpam-5753	110	19	trees	tree	NOUN
ejpam-5753	110	20	.	.	PUNCT
ejpam-5753	111	1	furthermore	furthermore	ADV
ejpam-5753	111	2	,	,	PUNCT
ejpam-5753	111	3	it	it	PRON
ejpam-5753	111	4	has	have	VERB
ejpam-5753	111	5	j.	j.	PROPN
ejpam-5753	111	6	anitha	anitha	PROPN
ejpam-5753	111	7	et	et	PROPN
ejpam-5753	111	8	al	al	PROPN
ejpam-5753	111	9	.	.	PUNCT
ejpam-5753	111	10	/	/	SYM
ejpam-5753	111	11	eur	eur	PROPN
ejpam-5753	111	12	.	.	PUNCT
ejpam-5753	112	1	j.	j.	PROPN
ejpam-5753	112	2	pure	pure	PROPN
ejpam-5753	112	3	appl	appl	PROPN
ejpam-5753	112	4	.	.	PROPN
ejpam-5753	112	5	math	math	PROPN
ejpam-5753	112	6	,	,	PUNCT
ejpam-5753	112	7	18	18	NUM
ejpam-5753	112	8	(	(	PUNCT
ejpam-5753	112	9	1	1	NUM
ejpam-5753	112	10	)	)	PUNCT
ejpam-5753	112	11	(	(	PUNCT
ejpam-5753	112	12	2025	2025	NUM
ejpam-5753	112	13	)	)	PUNCT
ejpam-5753	112	14	,	,	PUNCT
ejpam-5753	112	15	5753	5753	NUM
ejpam-5753	112	16	6	6	NUM
ejpam-5753	112	17	of	of	ADP
ejpam-5753	112	18	16	16	NUM
ejpam-5753	112	19	been	be	AUX
ejpam-5753	112	20	shown	show	VERB
ejpam-5753	112	21	that	that	SCONJ
ejpam-5753	112	22	the	the	DET
ejpam-5753	112	23	pd	pd	PROPN
ejpam-5753	112	24	set	set	NOUN
ejpam-5753	112	25	,	,	PUNCT
ejpam-5753	112	26	as	as	SCONJ
ejpam-5753	112	27	defined	define	VERB
ejpam-5753	112	28	by	by	ADP
ejpam-5753	112	29	|p	|p	NOUN
ejpam-5753	112	30	|	|	ADV
ejpam-5753	112	31	,	,	PUNCT
ejpam-5753	112	32	is	be	AUX
ejpam-5753	112	33	not	not	PART
ejpam-5753	112	34	more	more	ADV
ejpam-5753	112	35	accurately	accurately	ADV
ejpam-5753	112	36	measurable	measurable	ADJ
ejpam-5753	112	37	than	than	ADP
ejpam-5753	112	38	the	the	DET
ejpam-5753	112	39	dominating	dominating	NOUN
ejpam-5753	112	40	set	set	NOUN
ejpam-5753	112	41	and	and	CCONJ
ejpam-5753	112	42	is	be	AUX
ejpam-5753	112	43	w[2]-hard	w[2]-hard	ADJ
ejpam-5753	112	44	.	.	PUNCT
ejpam-5753	113	1	however	however	ADV
ejpam-5753	113	2	,	,	PUNCT
ejpam-5753	113	3	there	there	PRON
ejpam-5753	113	4	are	be	VERB
ejpam-5753	113	5	still	still	ADV
ejpam-5753	113	6	a	a	DET
ejpam-5753	113	7	lot	lot	NOUN
ejpam-5753	113	8	of	of	ADP
ejpam-5753	113	9	topics	topic	NOUN
ejpam-5753	113	10	that	that	PRON
ejpam-5753	113	11	require	require	VERB
ejpam-5753	113	12	additional	additional	ADJ
ejpam-5753	113	13	study	study	NOUN
ejpam-5753	113	14	.	.	PUNCT
ejpam-5753	114	1	in	in	ADP
ejpam-5753	114	2	line	line	NOUN
ejpam-5753	114	3	with	with	ADP
ejpam-5753	114	4	variants	variant	NOUN
ejpam-5753	114	5	of	of	ADP
ejpam-5753	114	6	domination	domination	NOUN
ejpam-5753	114	7	and	and	CCONJ
ejpam-5753	114	8	power	power	NOUN
ejpam-5753	114	9	domination	domination	NOUN
ejpam-5753	114	10	with	with	ADP
ejpam-5753	114	11	applications	application	NOUN
ejpam-5753	114	12	in	in	ADP
ejpam-5753	114	13	fuzzy	fuzzy	ADJ
ejpam-5753	114	14	graphs	graph	NOUN
ejpam-5753	114	15	,	,	PUNCT
ejpam-5753	114	16	domination	domination	NOUN
ejpam-5753	114	17	in	in	ADP
ejpam-5753	114	18	vague	vague	ADJ
ejpam-5753	114	19	graphs[16	graphs[16	PROPN
ejpam-5753	114	20	]	]	X
ejpam-5753	114	21	,	,	PUNCT
ejpam-5753	114	22	survey	survey	NOUN
ejpam-5753	114	23	on	on	ADP
ejpam-5753	114	24	domination	domination	NOUN
ejpam-5753	114	25	in	in	ADP
ejpam-5753	114	26	vague	vague	ADJ
ejpam-5753	114	27	graphs	graph	NOUN
ejpam-5753	114	28	with	with	ADP
ejpam-5753	114	29	application	application	NOUN
ejpam-5753	114	30	in	in	ADP
ejpam-5753	114	31	transferring	transfer	VERB
ejpam-5753	114	32	cancer	cancer	NOUN
ejpam-5753	114	33	patient	patient	NOUN
ejpam-5753	115	1	[	[	X
ejpam-5753	115	2	14	14	NUM
ejpam-5753	115	3	]	]	PUNCT
ejpam-5753	115	4	,	,	PUNCT
ejpam-5753	115	5	topological	topological	ADJ
ejpam-5753	115	6	indices	index	NOUN
ejpam-5753	115	7	in	in	ADP
ejpam-5753	115	8	fuzzy	fuzzy	ADJ
ejpam-5753	115	9	graphs	graph	NOUN
ejpam-5753	115	10	[	[	X
ejpam-5753	115	11	13	13	NUM
ejpam-5753	115	12	]	]	PUNCT
ejpam-5753	115	13	,	,	PUNCT
ejpam-5753	115	14	vague	vague	ADJ
ejpam-5753	115	15	graphs	graph	NOUN
ejpam-5753	115	16	with	with	ADP
ejpam-5753	115	17	novel	novel	ADJ
ejpam-5753	115	18	application[19	application[19	NOUN
ejpam-5753	115	19	,	,	PUNCT
ejpam-5753	115	20	20	20	NUM
ejpam-5753	115	21	]	]	PUNCT
ejpam-5753	115	22	,	,	PUNCT
ejpam-5753	115	23	abelian	abelian	PROPN
ejpam-5753	115	24	covers	cover	VERB
ejpam-5753	115	25	of	of	ADP
ejpam-5753	115	26	the	the	DET
ejpam-5753	115	27	wreath	wreath	NOUN
ejpam-5753	115	28	graph	graph	NOUN
ejpam-5753	115	29	w	w	NOUN
ejpam-5753	115	30	(	(	PUNCT
ejpam-5753	115	31	3	3	NUM
ejpam-5753	115	32	,	,	PUNCT
ejpam-5753	115	33	2	2	NUM
ejpam-5753	115	34	)	)	PUNCT
ejpam-5753	115	35	and	and	CCONJ
ejpam-5753	115	36	the	the	DET
ejpam-5753	115	37	foster	foster	ADJ
ejpam-5753	115	38	graph	graph	NOUN
ejpam-5753	115	39	f26a[6	f26a[6	PROPN
ejpam-5753	115	40	]	]	PUNCT
ejpam-5753	115	41	.	.	PUNCT
ejpam-5753	116	1	3	3	X
ejpam-5753	116	2	.	.	X
ejpam-5753	116	3	fully	fully	ADV
ejpam-5753	116	4	connected	connect	VERB
ejpam-5753	116	5	cubic	cubic	ADJ
ejpam-5753	116	6	networks	network	NOUN
ejpam-5753	116	7	(	(	PUNCT
ejpam-5753	116	8	fccns	fccns	PROPN
ejpam-5753	116	9	)	)	PUNCT
ejpam-5753	116	10	a	a	DET
ejpam-5753	116	11	fully	fully	ADV
ejpam-5753	116	12	connected	connect	VERB
ejpam-5753	116	13	cubic	cubic	ADJ
ejpam-5753	116	14	network	network	NOUN
ejpam-5753	116	15	is	be	AUX
ejpam-5753	116	16	a	a	DET
ejpam-5753	116	17	recursive	recursive	ADJ
ejpam-5753	116	18	network	network	NOUN
ejpam-5753	116	19	and	and	CCONJ
ejpam-5753	116	20	is	be	AUX
ejpam-5753	116	21	defined	define	VERB
ejpam-5753	116	22	as	as	ADP
ejpam-5753	116	23	follows[18	follows[18	NOUN
ejpam-5753	116	24	]	]	PUNCT
ejpam-5753	116	25	:	:	PUNCT
ejpam-5753	116	26	let	let	VERB
ejpam-5753	116	27	z7	z7	PROPN
ejpam-5753	116	28	=	=	PUNCT
ejpam-5753	116	29	{	{	PUNCT
ejpam-5753	116	30	0	0	NUM
ejpam-5753	116	31	,	,	PUNCT
ejpam-5753	116	32	1	1	NUM
ejpam-5753	116	33	,	,	PUNCT
ejpam-5753	116	34	2	2	NUM
ejpam-5753	116	35	,	,	PUNCT
ejpam-5753	116	36	3	3	NUM
ejpam-5753	116	37	,	,	PUNCT
ejpam-5753	116	38	4	4	NUM
ejpam-5753	116	39	,	,	PUNCT
ejpam-5753	116	40	5	5	NUM
ejpam-5753	116	41	,	,	PUNCT
ejpam-5753	116	42	6	6	NUM
ejpam-5753	116	43	,	,	PUNCT
ejpam-5753	116	44	7	7	NUM
ejpam-5753	116	45	}	}	PUNCT
ejpam-5753	116	46	,	,	PUNCT
ejpam-5753	116	47	and	and	CCONJ
ejpam-5753	116	48	for	for	ADP
ejpam-5753	116	49	a	a	DET
ejpam-5753	116	50	∈	∈	PROPN
ejpam-5753	116	51	z7	z7	X
ejpam-5753	116	52	,	,	PUNCT
ejpam-5753	116	53	let	let	VERB
ejpam-5753	116	54	a	a	DET
ejpam-5753	116	55	s	s	NOUN
ejpam-5753	116	56	=	=	X
ejpam-5753	116	57	aa	aa	NOUN
ejpam-5753	116	58	.	.	PUNCT
ejpam-5753	116	59	.	.	PUNCT
ejpam-5753	116	60	.	.	PUNCT
ejpam-5753	117	1	a(s	a(s	NOUN
ejpam-5753	117	2	times	time	NOUN
ejpam-5753	117	3	)	)	PUNCT
ejpam-5753	117	4	,	,	PUNCT
ejpam-5753	117	5	s	s	VERB
ejpam-5753	117	6	≥	≥	NOUN
ejpam-5753	117	7	1	1	NUM
ejpam-5753	117	8	.	.	PUNCT
ejpam-5753	118	1	for	for	ADP
ejpam-5753	118	2	r	r	NOUN
ejpam-5753	118	3	≥	≥	NUM
ejpam-5753	118	4	1	1	NUM
ejpam-5753	118	5	.	.	PUNCT
ejpam-5753	118	6	an	an	DET
ejpam-5753	118	7	r	r	NOUN
ejpam-5753	118	8	-	-	PUNCT
ejpam-5753	118	9	level	level	NOUN
ejpam-5753	118	10	fccn	fccn	NOUN
ejpam-5753	118	11	,	,	PUNCT
ejpam-5753	118	12	denoted	denote	VERB
ejpam-5753	118	13	by	by	ADP
ejpam-5753	118	14	fccnr	fccnr	NOUN
ejpam-5753	118	15	,	,	PUNCT
ejpam-5753	118	16	r	r	NOUN
ejpam-5753	118	17	≥	≥	NOUN
ejpam-5753	118	18	1	1	NUM
ejpam-5753	118	19	,	,	PUNCT
ejpam-5753	118	20	is	be	AUX
ejpam-5753	118	21	a	a	DET
ejpam-5753	118	22	graph	graph	NOUN
ejpam-5753	118	23	defined	define	VERB
ejpam-5753	118	24	inductively	inductively	ADV
ejpam-5753	118	25	as	as	SCONJ
ejpam-5753	118	26	follows	follow	VERB
ejpam-5753	118	27	:	:	PUNCT
ejpam-5753	118	28	1	1	X
ejpam-5753	118	29	.	.	X
ejpam-5753	118	30	fccn1	fccn1	NOUN
ejpam-5753	118	31	is	be	AUX
ejpam-5753	118	32	a	a	DET
ejpam-5753	118	33	network	network	NOUN
ejpam-5753	118	34	with	with	ADP
ejpam-5753	118	35	v	v	NOUN
ejpam-5753	118	36	(	(	PUNCT
ejpam-5753	118	37	fccn1	fccn1	NOUN
ejpam-5753	118	38	)	)	PUNCT
ejpam-5753	118	39	=	=	SYM
ejpam-5753	118	40	z7	z7	PROPN
ejpam-5753	118	41	and	and	CCONJ
ejpam-5753	118	42	e(fccn1	e(fccn1	PROPN
ejpam-5753	118	43	)	)	PUNCT
ejpam-5753	119	1	=	=	PRON
ejpam-5753	119	2	{	{	PUNCT
ejpam-5753	119	3	(	(	PUNCT
ejpam-5753	119	4	0	0	NUM
ejpam-5753	119	5	,	,	PUNCT
ejpam-5753	119	6	1	1	NUM
ejpam-5753	119	7	)	)	PUNCT
ejpam-5753	119	8	,	,	PUNCT
ejpam-5753	119	9	(	(	PUNCT
ejpam-5753	119	10	0	0	NUM
ejpam-5753	119	11	,	,	PUNCT
ejpam-5753	119	12	2	2	NUM
ejpam-5753	119	13	)	)	PUNCT
ejpam-5753	119	14	,	,	PUNCT
ejpam-5753	119	15	(	(	PUNCT
ejpam-5753	119	16	1	1	NUM
ejpam-5753	119	17	,	,	PUNCT
ejpam-5753	119	18	3	3	NUM
ejpam-5753	119	19	)	)	PUNCT
ejpam-5753	119	20	,	,	PUNCT
ejpam-5753	119	21	(	(	PUNCT
ejpam-5753	119	22	2	2	NUM
ejpam-5753	119	23	,	,	PUNCT
ejpam-5753	119	24	3	3	NUM
ejpam-5753	119	25	)	)	PUNCT
ejpam-5753	119	26	,	,	PUNCT
ejpam-5753	119	27	(	(	PUNCT
ejpam-5753	119	28	4	4	NUM
ejpam-5753	119	29	,	,	PUNCT
ejpam-5753	119	30	5	5	NUM
ejpam-5753	119	31	)	)	PUNCT
ejpam-5753	119	32	,	,	PUNCT
ejpam-5753	119	33	(	(	PUNCT
ejpam-5753	119	34	4	4	NUM
ejpam-5753	119	35	,	,	PUNCT
ejpam-5753	119	36	6	6	NUM
ejpam-5753	119	37	)	)	PUNCT
ejpam-5753	119	38	,	,	PUNCT
ejpam-5753	119	39	(	(	PUNCT
ejpam-5753	119	40	5	5	NUM
ejpam-5753	119	41	,	,	PUNCT
ejpam-5753	119	42	7	7	NUM
ejpam-5753	119	43	)	)	PUNCT
ejpam-5753	119	44	,	,	PUNCT
ejpam-5753	119	45	(	(	PUNCT
ejpam-5753	119	46	6	6	NUM
ejpam-5753	119	47	,	,	PUNCT
ejpam-5753	119	48	7	7	NUM
ejpam-5753	119	49	)	)	PUNCT
ejpam-5753	119	50	,	,	PUNCT
ejpam-5753	119	51	(	(	PUNCT
ejpam-5753	119	52	0	0	NUM
ejpam-5753	119	53	,	,	PUNCT
ejpam-5753	119	54	4	4	NUM
ejpam-5753	119	55	)	)	PUNCT
ejpam-5753	119	56	,	,	PUNCT
ejpam-5753	119	57	(	(	PUNCT
ejpam-5753	119	58	1	1	NUM
ejpam-5753	119	59	,	,	PUNCT
ejpam-5753	119	60	5	5	NUM
ejpam-5753	119	61	)	)	PUNCT
ejpam-5753	119	62	,	,	PUNCT
ejpam-5753	119	63	(	(	PUNCT
ejpam-5753	119	64	2	2	NUM
ejpam-5753	119	65	,	,	PUNCT
ejpam-5753	119	66	6	6	NUM
ejpam-5753	119	67	)	)	PUNCT
ejpam-5753	119	68	,	,	PUNCT
ejpam-5753	119	69	(	(	PUNCT
ejpam-5753	119	70	3	3	NUM
ejpam-5753	119	71	,	,	PUNCT
ejpam-5753	119	72	7	7	NUM
ejpam-5753	119	73	)	)	PUNCT
ejpam-5753	119	74	}	}	PUNCT
ejpam-5753	119	75	.	.	PUNCT
ejpam-5753	120	1	2	2	X
ejpam-5753	120	2	.	.	X
ejpam-5753	120	3	when	when	SCONJ
ejpam-5753	120	4	r	r	NOUN
ejpam-5753	120	5	≥	≥	NUM
ejpam-5753	120	6	2	2	NUM
ejpam-5753	120	7	,	,	PUNCT
ejpam-5753	120	8	fccnr	fccnr	NOUN
ejpam-5753	120	9	is	be	AUX
ejpam-5753	120	10	constructed	construct	VERB
ejpam-5753	120	11	from	from	ADP
ejpam-5753	120	12	eight	eight	NUM
ejpam-5753	120	13	node	node	NOUN
ejpam-5753	120	14	-	-	PUNCT
ejpam-5753	120	15	distinct	distinct	ADJ
ejpam-5753	120	16	copies	copy	NOUN
ejpam-5753	120	17	of	of	ADP
ejpam-5753	120	18	fccnr−1	fccnr−1	PROPN
ejpam-5753	120	19	by	by	ADP
ejpam-5753	120	20	connecting	connect	VERB
ejpam-5753	120	21	additional	additional	ADJ
ejpam-5753	120	22	28	28	NUM
ejpam-5753	120	23	edges	edge	NOUN
ejpam-5753	120	24	.	.	PUNCT
ejpam-5753	121	1	particularly	particularly	ADV
ejpam-5753	121	2	,	,	PUNCT
ejpam-5753	121	3	if	if	SCONJ
ejpam-5753	121	4	,	,	PUNCT
ejpam-5753	121	5	for	for	ADP
ejpam-5753	121	6	0	0	NUM
ejpam-5753	121	7	≤	≤	NOUN
ejpam-5753	121	8	t	t	NOUN
ejpam-5753	121	9	≤	≤	NOUN
ejpam-5753	121	10	7	7	NUM
ejpam-5753	121	11	,	,	PUNCT
ejpam-5753	121	12	we	we	PRON
ejpam-5753	121	13	let	let	VERB
ejpam-5753	121	14	tfccnr−1	tfccnr−1	NOUN
ejpam-5753	121	15	denote	denote	VERB
ejpam-5753	121	16	a	a	DET
ejpam-5753	121	17	copy	copy	NOUN
ejpam-5753	121	18	of	of	ADP
ejpam-5753	121	19	fccnr−1	fccnr−1	PROPN
ejpam-5753	121	20	with	with	ADP
ejpam-5753	121	21	each	each	DET
ejpam-5753	121	22	node	node	NOUN
ejpam-5753	121	23	being	be	AUX
ejpam-5753	121	24	prefixed	prefix	VERB
ejpam-5753	121	25	with	with	ADP
ejpam-5753	121	26	t	t	PROPN
ejpam-5753	121	27	,	,	PUNCT
ejpam-5753	121	28	then	then	ADV
ejpam-5753	121	29	fccnr	fccnr	NOUN
ejpam-5753	121	30	is	be	AUX
ejpam-5753	121	31	defined	define	VERB
ejpam-5753	121	32	by	by	ADP
ejpam-5753	121	33	v	v	NOUN
ejpam-5753	121	34	(	(	PUNCT
ejpam-5753	121	35	fccnr	fccnr	NOUN
ejpam-5753	121	36	)	)	PUNCT
ejpam-5753	121	37	=	=	SYM
ejpam-5753	121	38	7⋃	7⋃	NUM
ejpam-5753	121	39	t=0	t=0	PROPN
ejpam-5753	121	40	v	v	PROPN
ejpam-5753	121	41	(	(	PUNCT
ejpam-5753	121	42	tfccnr−1	tfccnr−1	PROPN
ejpam-5753	121	43	)	)	PUNCT
ejpam-5753	121	44	,	,	PUNCT
ejpam-5753	121	45	e(fccnr	e(fccnr	NOUN
ejpam-5753	121	46	)	)	PUNCT
ejpam-5753	121	47	=	=	PUNCT
ejpam-5753	121	48	(	(	PUNCT
ejpam-5753	121	49	7⋃	7⋃	NUM
ejpam-5753	121	50	t=0	t=0	X
ejpam-5753	121	51	e(tfccnr−1	e(tfccnr−1	PROPN
ejpam-5753	121	52	)	)	PUNCT
ejpam-5753	121	53	)	)	PUNCT
ejpam-5753	121	54	∪	∪	ADP
ejpam-5753	121	55	{	{	PUNCT
ejpam-5753	121	56	(	(	PUNCT
ejpam-5753	121	57	abr−1	abr−1	PROPN
ejpam-5753	121	58	,	,	PUNCT
ejpam-5753	121	59	bar−1)|0	bar−1)|0	VERB
ejpam-5753	121	60	≤	≤	NOUN
ejpam-5753	121	61	a	a	DET
ejpam-5753	121	62	<	<	X
ejpam-5753	121	63	b	b	X
ejpam-5753	121	64	≤	≤	NUM
ejpam-5753	121	65	7	7	NUM
ejpam-5753	121	66	}	}	PUNCT
ejpam-5753	121	67	.	.	PUNCT
ejpam-5753	122	1	for	for	ADP
ejpam-5753	122	2	0	0	NUM
ejpam-5753	122	3	≤	≤	NOUN
ejpam-5753	122	4	t	t	NOUN
ejpam-5753	122	5	≤	≤	NOUN
ejpam-5753	122	6	7	7	NUM
ejpam-5753	122	7	,	,	PUNCT
ejpam-5753	122	8	tfccnr−1	tfccnr−1	PROPN
ejpam-5753	122	9	is	be	AUX
ejpam-5753	122	10	called	call	VERB
ejpam-5753	122	11	an	an	DET
ejpam-5753	122	12	(	(	PUNCT
ejpam-5753	122	13	r−	r−	PROPN
ejpam-5753	122	14	1)-level	1)-level	NUM
ejpam-5753	122	15	sub	sub	NOUN
ejpam-5753	122	16	-	-	NOUN
ejpam-5753	122	17	fccn	fccn	NOUN
ejpam-5753	122	18	of	of	ADP
ejpam-5753	122	19	fccnr	fccnr	NOUN
ejpam-5753	122	20	,	,	PUNCT
ejpam-5753	122	21	or	or	CCONJ
ejpam-5753	122	22	simply	simply	ADV
ejpam-5753	122	23	a	a	DET
ejpam-5753	122	24	sub	sub	NOUN
ejpam-5753	122	25	-	-	NOUN
ejpam-5753	122	26	fccn	fccn	NOUN
ejpam-5753	122	27	of	of	ADP
ejpam-5753	122	28	fccnr	fccnr	NOUN
ejpam-5753	122	29	,	,	PUNCT
ejpam-5753	122	30	if	if	SCONJ
ejpam-5753	122	31	there	there	PRON
ejpam-5753	122	32	is	be	VERB
ejpam-5753	122	33	no	no	DET
ejpam-5753	122	34	ambiguity	ambiguity	NOUN
ejpam-5753	122	35	.	.	PUNCT
ejpam-5753	123	1	3	3	X
ejpam-5753	123	2	.	.	PUNCT
ejpam-5753	123	3	given	give	VERB
ejpam-5753	123	4	an	an	DET
ejpam-5753	123	5	fccnr	fccnr	NOUN
ejpam-5753	123	6	,	,	PUNCT
ejpam-5753	123	7	r	r	NOUN
ejpam-5753	123	8	≥	≥	NOUN
ejpam-5753	123	9	2	2	NUM
ejpam-5753	123	10	,	,	PUNCT
ejpam-5753	123	11	a	a	DET
ejpam-5753	123	12	boundary	boundary	ADJ
ejpam-5753	123	13	node	node	NOUN
ejpam-5753	123	14	is	be	AUX
ejpam-5753	123	15	a	a	DET
ejpam-5753	123	16	node	node	NOUN
ejpam-5753	123	17	of	of	ADP
ejpam-5753	123	18	the	the	DET
ejpam-5753	123	19	form	form	NOUN
ejpam-5753	123	20	tr	tr	VERB
ejpam-5753	123	21	.	.	PUNCT
ejpam-5753	124	1	an	an	DET
ejpam-5753	124	2	intercubic	intercubic	ADJ
ejpam-5753	124	3	edge	edge	NOUN
ejpam-5753	124	4	is	be	AUX
ejpam-5753	124	5	an	an	DET
ejpam-5753	124	6	edge	edge	NOUN
ejpam-5753	124	7	of	of	ADP
ejpam-5753	124	8	the	the	DET
ejpam-5753	124	9	form	form	NOUN
ejpam-5753	124	10	(	(	PUNCT
ejpam-5753	124	11	abr−1	abr−1	PROPN
ejpam-5753	124	12	,	,	PUNCT
ejpam-5753	124	13	bar−1	bar−1	PROPN
ejpam-5753	124	14	)	)	PUNCT
ejpam-5753	124	15	.	.	PUNCT
ejpam-5753	125	1	in	in	ADP
ejpam-5753	125	2	essence	essence	NOUN
ejpam-5753	125	3	,	,	PUNCT
ejpam-5753	125	4	each	each	DET
ejpam-5753	125	5	node	node	NOUN
ejpam-5753	125	6	of	of	ADP
ejpam-5753	125	7	an	an	DET
ejpam-5753	125	8	fccn	fccn	NOUN
ejpam-5753	125	9	has	have	VERB
ejpam-5753	125	10	four	four	NUM
ejpam-5753	125	11	links	link	NOUN
ejpam-5753	125	12	,	,	PUNCT
ejpam-5753	125	13	with	with	ADP
ejpam-5753	125	14	each	each	DET
ejpam-5753	125	15	boundary	boundary	ADJ
ejpam-5753	125	16	node	node	NOUN
ejpam-5753	125	17	having	have	VERB
ejpam-5753	125	18	one	one	NUM
ejpam-5753	125	19	i\o	i\o	NOUN
ejpam-5753	125	20	channel	channel	NOUN
ejpam-5753	125	21	link	link	NOUN
ejpam-5753	125	22	that	that	PRON
ejpam-5753	125	23	is	be	AUX
ejpam-5753	125	24	not	not	PART
ejpam-5753	125	25	counted	count	VERB
ejpam-5753	125	26	in	in	ADP
ejpam-5753	125	27	the	the	DET
ejpam-5753	125	28	node	node	NOUN
ejpam-5753	125	29	degree	degree	NOUN
ejpam-5753	125	30	.	.	PUNCT
ejpam-5753	126	1	obviously	obviously	ADV
ejpam-5753	126	2	,	,	PUNCT
ejpam-5753	126	3	tfccnr−1	tfccnr−1	PROPN
ejpam-5753	126	4	has	have	VERB
ejpam-5753	126	5	7	7	NUM
ejpam-5753	126	6	intercubic	intercubic	ADJ
ejpam-5753	126	7	vertices	vertex	NOUN
ejpam-5753	126	8	and	and	CCONJ
ejpam-5753	126	9	1	1	NUM
ejpam-5753	126	10	boundary	boundary	ADJ
ejpam-5753	126	11	vertex	vertex	NOUN
ejpam-5753	126	12	for	for	ADP
ejpam-5753	126	13	0	0	NUM
ejpam-5753	126	14	≤	≤	NUM
ejpam-5753	126	15	t	t	NOUN
ejpam-5753	126	16	≤	≤	NOUN
ejpam-5753	126	17	7	7	NUM
ejpam-5753	127	1	and	and	CCONJ
ejpam-5753	127	2	r	r	NOUN
ejpam-5753	127	3	≥	≥	NUM
ejpam-5753	127	4	2	2	NUM
ejpam-5753	127	5	[	[	X
ejpam-5753	127	6	18	18	NUM
ejpam-5753	127	7	]	]	PUNCT
ejpam-5753	127	8	.	.	PUNCT
ejpam-5753	128	1	see	see	VERB
ejpam-5753	128	2	figure	figure	NOUN
ejpam-5753	128	3	3	3	NUM
ejpam-5753	128	4	.	.	NOUN
ejpam-5753	128	5	4	4	NUM
ejpam-5753	128	6	.	.	NOUN
ejpam-5753	128	7	2	2	NUM
ejpam-5753	128	8	-	-	PUNCT
ejpam-5753	128	9	pd	pd	NOUN
ejpam-5753	128	10	in	in	ADP
ejpam-5753	128	11	fully	fully	ADV
ejpam-5753	128	12	connected	connect	VERB
ejpam-5753	128	13	cubic	cubic	ADJ
ejpam-5753	128	14	network(fccn	network(fccn	PROPN
ejpam-5753	128	15	)	)	PUNCT
ejpam-5753	128	16	in	in	ADP
ejpam-5753	128	17	this	this	DET
ejpam-5753	128	18	section	section	NOUN
ejpam-5753	128	19	,	,	PUNCT
ejpam-5753	128	20	we	we	PRON
ejpam-5753	128	21	find	find	VERB
ejpam-5753	128	22	the	the	DET
ejpam-5753	128	23	k	k	NOUN
ejpam-5753	128	24	-	-	NOUN
ejpam-5753	128	25	pdn	pdn	NOUN
ejpam-5753	128	26	,	,	PUNCT
ejpam-5753	128	27	k	k	PROPN
ejpam-5753	128	28	≥	≥	NUM
ejpam-5753	128	29	2	2	NUM
ejpam-5753	128	30	for	for	ADP
ejpam-5753	128	31	fccnr	fccnr	NOUN
ejpam-5753	128	32	,	,	PUNCT
ejpam-5753	129	1	r	r	NOUN
ejpam-5753	129	2	≥	≥	NOUN
ejpam-5753	129	3	2	2	NUM
ejpam-5753	129	4	.	.	PUNCT
ejpam-5753	130	1	the	the	DET
ejpam-5753	130	2	power	power	NOUN
ejpam-5753	130	3	domination	domination	NOUN
ejpam-5753	130	4	process	process	NOUN
ejpam-5753	130	5	on	on	ADP
ejpam-5753	130	6	a	a	DET
ejpam-5753	130	7	graph	graph	NOUN
ejpam-5753	130	8	g	g	NOUN
ejpam-5753	130	9	is	be	AUX
ejpam-5753	130	10	choosing	choose	VERB
ejpam-5753	130	11	a	a	DET
ejpam-5753	130	12	set	set	NOUN
ejpam-5753	130	13	s	s	NOUN
ejpam-5753	130	14	⊆	⊆	NUM
ejpam-5753	130	15	v	v	NOUN
ejpam-5753	130	16	(	(	PUNCT
ejpam-5753	130	17	g	g	NOUN
ejpam-5753	130	18	)	)	PUNCT
ejpam-5753	130	19	and	and	CCONJ
ejpam-5753	130	20	applying	apply	VERB
ejpam-5753	130	21	the	the	DET
ejpam-5753	130	22	zero	zero	NUM
ejpam-5753	130	23	forcing	forcing	NOUN
ejpam-5753	130	24	process	process	NOUN
ejpam-5753	130	25	to	to	ADP
ejpam-5753	130	26	the	the	DET
ejpam-5753	130	27	closed	closed	ADJ
ejpam-5753	130	28	neighborhood	neighborhood	NOUN
ejpam-5753	131	1	n	n	NOUN
ejpam-5753	131	2	[	[	X
ejpam-5753	131	3	s	s	X
ejpam-5753	131	4	]	]	X
ejpam-5753	131	5	of	of	ADP
ejpam-5753	131	6	s.	s.	PROPN
ejpam-5753	131	7	the	the	DET
ejpam-5753	131	8	set	set	PROPN
ejpam-5753	131	9	s	s	VERB
ejpam-5753	131	10	is	be	AUX
ejpam-5753	131	11	a	a	DET
ejpam-5753	131	12	power	power	NOUN
ejpam-5753	131	13	dominating	dominating	NOUN
ejpam-5753	131	14	set	set	NOUN
ejpam-5753	131	15	of	of	ADP
ejpam-5753	131	16	g	g	PROPN
ejpam-5753	131	17	if	if	SCONJ
ejpam-5753	131	18	and	and	CCONJ
ejpam-5753	131	19	only	only	ADV
ejpam-5753	131	20	if	if	SCONJ
ejpam-5753	131	21	n	n	PRON
ejpam-5753	131	22	[	[	X
ejpam-5753	131	23	s	s	X
ejpam-5753	131	24	]	]	X
ejpam-5753	131	25	is	be	AUX
ejpam-5753	131	26	a	a	DET
ejpam-5753	131	27	zero	zero	NUM
ejpam-5753	131	28	forcing	forcing	NOUN
ejpam-5753	131	29	set	set	NOUN
ejpam-5753	131	30	for	for	ADP
ejpam-5753	131	31	g	g	PROPN
ejpam-5753	131	32	[	[	X
ejpam-5753	131	33	3	3	NUM
ejpam-5753	131	34	]	]	PUNCT
ejpam-5753	131	35	.	.	PUNCT
ejpam-5753	132	1	rao	rao	NOUN
ejpam-5753	132	2	et	et	PROPN
ejpam-5753	132	3	al.[22	al.[22	PROPN
ejpam-5753	132	4	]	]	PUNCT
ejpam-5753	132	5	proved	prove	VERB
ejpam-5753	132	6	that	that	SCONJ
ejpam-5753	132	7	the	the	DET
ejpam-5753	132	8	bound	bind	VERB
ejpam-5753	132	9	is	be	AUX
ejpam-5753	132	10	tight	tight	ADJ
ejpam-5753	132	11	for	for	ADP
ejpam-5753	132	12	fully	fully	ADV
ejpam-5753	132	13	connected	connect	VERB
ejpam-5753	132	14	cubic	cubic	ADJ
ejpam-5753	132	15	networks	network	NOUN
ejpam-5753	132	16	.	.	PUNCT
ejpam-5753	133	1	in	in	ADP
ejpam-5753	133	2	2015	2015	NUM
ejpam-5753	133	3	ferrero	ferrero	X
ejpam-5753	133	4	et	et	PROPN
ejpam-5753	133	5	al	al	PROPN
ejpam-5753	133	6	.	.	PUNCT
ejpam-5753	134	1	[	[	X
ejpam-5753	134	2	3	3	X
ejpam-5753	134	3	]	]	PUNCT
ejpam-5753	134	4	proved	prove	VERB
ejpam-5753	134	5	the	the	DET
ejpam-5753	134	6	following	follow	VERB
ejpam-5753	134	7	theorem	theorem	NOUN
ejpam-5753	134	8	which	which	PRON
ejpam-5753	134	9	shows	show	VERB
ejpam-5753	134	10	the	the	DET
ejpam-5753	134	11	relationship	relationship	NOUN
ejpam-5753	134	12	between	between	ADP
ejpam-5753	134	13	zero	zero	NUM
ejpam-5753	134	14	forcing	force	VERB
ejpam-5753	134	15	set	set	NOUN
ejpam-5753	134	16	and	and	CCONJ
ejpam-5753	134	17	power	power	NOUN
ejpam-5753	134	18	dominating	dominating	NOUN
ejpam-5753	134	19	set	set	NOUN
ejpam-5753	134	20	.	.	PUNCT
ejpam-5753	135	1	theorem	theorem	NOUN
ejpam-5753	135	2	1	1	NUM
ejpam-5753	135	3	.	.	PUNCT
ejpam-5753	136	1	[	[	X
ejpam-5753	136	2	3	3	X
ejpam-5753	136	3	]	]	PUNCT
ejpam-5753	136	4	let	let	VERB
ejpam-5753	136	5	g	g	PRON
ejpam-5753	136	6	be	be	AUX
ejpam-5753	136	7	a	a	DET
ejpam-5753	136	8	graph	graph	NOUN
ejpam-5753	136	9	.	.	PUNCT
ejpam-5753	137	1	then	then	ADV
ejpam-5753	137	2	⌈	⌈	NOUN
ejpam-5753	137	3	z(g	z(g	NOUN
ejpam-5753	137	4	)	)	PUNCT
ejpam-5753	137	5	∆(g	∆(g	NOUN
ejpam-5753	137	6	)	)	PUNCT
ejpam-5753	137	7	⌉	⌉	SCONJ
ejpam-5753	137	8	≤	≤	ADJ
ejpam-5753	137	9	γp(g	γp(g	PUNCT
ejpam-5753	137	10	)	)	PUNCT
ejpam-5753	137	11	and	and	CCONJ
ejpam-5753	137	12	this	this	PRON
ejpam-5753	137	13	bound	bind	VERB
ejpam-5753	137	14	is	be	AUX
ejpam-5753	137	15	tight	tight	ADJ
ejpam-5753	137	16	.	.	PUNCT
ejpam-5753	138	1	j.	j.	PROPN
ejpam-5753	138	2	anitha	anitha	PROPN
ejpam-5753	138	3	et	et	PROPN
ejpam-5753	138	4	al	al	PROPN
ejpam-5753	138	5	.	.	PUNCT
ejpam-5753	138	6	/	/	SYM
ejpam-5753	138	7	eur	eur	PROPN
ejpam-5753	138	8	.	.	PUNCT
ejpam-5753	139	1	j.	j.	PROPN
ejpam-5753	139	2	pure	pure	PROPN
ejpam-5753	139	3	appl	appl	PROPN
ejpam-5753	139	4	.	.	PROPN
ejpam-5753	139	5	math	math	PROPN
ejpam-5753	139	6	,	,	PUNCT
ejpam-5753	139	7	18	18	NUM
ejpam-5753	139	8	(	(	PUNCT
ejpam-5753	139	9	1	1	NUM
ejpam-5753	139	10	)	)	PUNCT
ejpam-5753	139	11	(	(	PUNCT
ejpam-5753	139	12	2025	2025	NUM
ejpam-5753	139	13	)	)	PUNCT
ejpam-5753	139	14	,	,	PUNCT
ejpam-5753	139	15	5753	5753	NUM
ejpam-5753	139	16	7	7	NUM
ejpam-5753	139	17	of	of	ADP
ejpam-5753	139	18	16	16	NUM
ejpam-5753	139	19	0	0	NUM
ejpam-5753	139	20	1	1	NUM
ejpam-5753	139	21	3	3	NUM
ejpam-5753	139	22	4	4	NUM
ejpam-5753	139	23	6	6	NUM
ejpam-5753	139	24	5	5	NUM
ejpam-5753	139	25	7	7	NUM
ejpam-5753	139	26	2	2	NUM
ejpam-5753	139	27	(	(	PUNCT
ejpam-5753	139	28	b	b	NOUN
ejpam-5753	139	29	)	)	PUNCT
ejpam-5753	139	30	00	00	NUM
ejpam-5753	140	1	01	01	NUM
ejpam-5753	141	1	02	02	NUM
ejpam-5753	141	2	03	03	NUM
ejpam-5753	141	3	04	04	NUM
ejpam-5753	142	1	05	05	NUM
ejpam-5753	142	2	06	06	NUM
ejpam-5753	142	3	07	07	NUM
ejpam-5753	142	4	10	10	NUM
ejpam-5753	142	5	11	11	NUM
ejpam-5753	142	6	12	12	NUM
ejpam-5753	142	7	13	13	NUM
ejpam-5753	142	8	14	14	NUM
ejpam-5753	142	9	15	15	NUM
ejpam-5753	142	10	16	16	NUM
ejpam-5753	142	11	17	17	NUM
ejpam-5753	142	12	20	20	NUM
ejpam-5753	142	13	21	21	NUM
ejpam-5753	142	14	22	22	NUM
ejpam-5753	142	15	23	23	NUM
ejpam-5753	142	16	24	24	NUM
ejpam-5753	142	17	25	25	NUM
ejpam-5753	142	18	26	26	NUM
ejpam-5753	142	19	27	27	NUM
ejpam-5753	142	20	30	30	NUM
ejpam-5753	142	21	31	31	NUM
ejpam-5753	142	22	32	32	NUM
ejpam-5753	142	23	33	33	NUM
ejpam-5753	142	24	34	34	NUM
ejpam-5753	142	25	35	35	NUM
ejpam-5753	142	26	36	36	NUM
ejpam-5753	142	27	37	37	NUM
ejpam-5753	142	28	40	40	NUM
ejpam-5753	142	29	41	41	NUM
ejpam-5753	142	30	42	42	NUM
ejpam-5753	142	31	43	43	NUM
ejpam-5753	142	32	44	44	NUM
ejpam-5753	142	33	45	45	NUM
ejpam-5753	142	34	46	46	NUM
ejpam-5753	142	35	47	47	NUM
ejpam-5753	142	36	50	50	NUM
ejpam-5753	142	37	51	51	NUM
ejpam-5753	142	38	52	52	NUM
ejpam-5753	142	39	53	53	NUM
ejpam-5753	142	40	54	54	NUM
ejpam-5753	142	41	55	55	NUM
ejpam-5753	142	42	56	56	NUM
ejpam-5753	142	43	57	57	NUM
ejpam-5753	142	44	60	60	NUM
ejpam-5753	142	45	61	61	NUM
ejpam-5753	142	46	62	62	NUM
ejpam-5753	142	47	63	63	NUM
ejpam-5753	142	48	64	64	NUM
ejpam-5753	142	49	65	65	NUM
ejpam-5753	142	50	66	66	NUM
ejpam-5753	142	51	67	67	NUM
ejpam-5753	142	52	70	70	NUM
ejpam-5753	142	53	71	71	NUM
ejpam-5753	142	54	72	72	NUM
ejpam-5753	142	55	73	73	NUM
ejpam-5753	142	56	74	74	NUM
ejpam-5753	142	57	75	75	NUM
ejpam-5753	142	58	76	76	NUM
ejpam-5753	142	59	77	77	NUM
ejpam-5753	142	60	boundary	boundary	ADJ
ejpam-5753	142	61	vertex	vertex	NOUN
ejpam-5753	142	62	intercubic	intercubic	NOUN
ejpam-5753	142	63	vertex	vertex	NOUN
ejpam-5753	142	64	(	(	PUNCT
ejpam-5753	142	65	a	a	DET
ejpam-5753	142	66	)	)	PUNCT
ejpam-5753	142	67	figure	figure	NOUN
ejpam-5753	142	68	3	3	NUM
ejpam-5753	142	69	:	:	PUNCT
ejpam-5753	142	70	fully	fully	ADV
ejpam-5753	142	71	connected	connected	ADJ
ejpam-5753	142	72	cubic	cubic	ADJ
ejpam-5753	142	73	networks	network	NOUN
ejpam-5753	142	74	(	(	PUNCT
ejpam-5753	142	75	a	a	NOUN
ejpam-5753	142	76	)	)	PUNCT
ejpam-5753	142	77	fccn1	fccn1	NOUN
ejpam-5753	142	78	(	(	PUNCT
ejpam-5753	142	79	b	b	NOUN
ejpam-5753	142	80	)	)	PUNCT
ejpam-5753	142	81	fccn2	fccn2	NOUN
ejpam-5753	142	82	with	with	ADP
ejpam-5753	142	83	00	00	NUM
ejpam-5753	142	84	,	,	PUNCT
ejpam-5753	142	85	11	11	NUM
ejpam-5753	142	86	,	,	PUNCT
ejpam-5753	142	87	.	.	PUNCT
ejpam-5753	142	88	.	.	PUNCT
ejpam-5753	142	89	.	.	PUNCT
ejpam-5753	143	1	,	,	PUNCT
ejpam-5753	143	2	77	77	NUM
ejpam-5753	143	3	as	as	ADP
ejpam-5753	143	4	boundary	boundary	ADJ
ejpam-5753	143	5	vertices	vertex	NOUN
ejpam-5753	143	6	in	in	ADP
ejpam-5753	143	7	2022	2022	NUM
ejpam-5753	143	8	anitha	anitha	NOUN
ejpam-5753	143	9	et	et	PROPN
ejpam-5753	143	10	al	al	PROPN
ejpam-5753	143	11	.	.	PUNCT
ejpam-5753	144	1	[	[	X
ejpam-5753	144	2	18	18	NUM
ejpam-5753	144	3	]	]	PUNCT
ejpam-5753	144	4	proved	prove	VERB
ejpam-5753	144	5	the	the	DET
ejpam-5753	144	6	following	follow	VERB
ejpam-5753	144	7	theorem	theorem	NOUN
ejpam-5753	144	8	which	which	PRON
ejpam-5753	144	9	shows	show	VERB
ejpam-5753	144	10	the	the	DET
ejpam-5753	144	11	relationship	relationship	NOUN
ejpam-5753	144	12	between	between	ADP
ejpam-5753	144	13	zero	zero	NUM
ejpam-5753	144	14	forcing	force	VERB
ejpam-5753	144	15	set	set	NOUN
ejpam-5753	144	16	and	and	CCONJ
ejpam-5753	144	17	power	power	NOUN
ejpam-5753	144	18	dominating	dominating	NOUN
ejpam-5753	144	19	set	set	NOUN
ejpam-5753	144	20	described	describe	VERB
ejpam-5753	144	21	in	in	ADP
ejpam-5753	144	22	theorem	theorem	ADJ
ejpam-5753	144	23	2	2	NUM
ejpam-5753	144	24	.	.	PUNCT
ejpam-5753	144	25	theorem	theorem	NOUN
ejpam-5753	144	26	2	2	NUM
ejpam-5753	144	27	.	.	PUNCT
ejpam-5753	145	1	[	[	X
ejpam-5753	145	2	18	18	NUM
ejpam-5753	145	3	]	]	PUNCT
ejpam-5753	145	4	for	for	ADP
ejpam-5753	145	5	the	the	DET
ejpam-5753	145	6	fccn	fccn	PROPN
ejpam-5753	145	7	hr	hr	NOUN
ejpam-5753	145	8	∼=	∼=	PROPN
ejpam-5753	145	9	fccnr	fccnr	NOUN
ejpam-5753	145	10	,	,	PUNCT
ejpam-5753	145	11	r	r	NOUN
ejpam-5753	145	12	≥	≥	NOUN
ejpam-5753	145	13	2	2	NUM
ejpam-5753	145	14	,	,	PUNCT
ejpam-5753	145	15	we	we	PRON
ejpam-5753	145	16	have	have	AUX
ejpam-5753	145	17	γp(hr	γp(hr	NOUN
ejpam-5753	145	18	)	)	PUNCT
ejpam-5753	145	19	=	=	SYM
ejpam-5753	145	20	23r−4	23r−4	NUM
ejpam-5753	145	21	.	.	PUNCT
ejpam-5753	145	22	theorem	theorem	NOUN
ejpam-5753	145	23	3	3	NUM
ejpam-5753	145	24	.	.	PUNCT
ejpam-5753	146	1	[	[	X
ejpam-5753	146	2	18	18	NUM
ejpam-5753	146	3	]	]	PUNCT
ejpam-5753	146	4	for	for	ADP
ejpam-5753	146	5	the	the	DET
ejpam-5753	146	6	fccn	fccn	PROPN
ejpam-5753	146	7	hr	hr	NOUN
ejpam-5753	146	8	∼=	∼=	PROPN
ejpam-5753	146	9	fccnr	fccnr	NOUN
ejpam-5753	146	10	,	,	PUNCT
ejpam-5753	146	11	r	r	NOUN
ejpam-5753	146	12	≥	≥	NOUN
ejpam-5753	146	13	2	2	NUM
ejpam-5753	146	14	,	,	PUNCT
ejpam-5753	146	15	we	we	PRON
ejpam-5753	146	16	have	have	VERB
ejpam-5753	146	17	ζ(hr	ζ(hr	NOUN
ejpam-5753	146	18	)	)	PUNCT
ejpam-5753	146	19	=	=	SYM
ejpam-5753	146	20	23r−2	23r−2	X
ejpam-5753	146	21	.	.	PUNCT
ejpam-5753	147	1	in	in	ADP
ejpam-5753	147	2	this	this	DET
ejpam-5753	147	3	section	section	NOUN
ejpam-5753	147	4	we	we	PRON
ejpam-5753	147	5	solve	solve	VERB
ejpam-5753	147	6	2	2	NUM
ejpam-5753	147	7	-	-	PUNCT
ejpam-5753	147	8	power	power	NOUN
ejpam-5753	147	9	domination	domination	NOUN
ejpam-5753	147	10	number	number	NOUN
ejpam-5753	147	11	for	for	ADP
ejpam-5753	147	12	hn	hn	PROPN
ejpam-5753	147	13	,	,	PUNCT
ejpam-5753	147	14	n	n	PROPN
ejpam-5753	147	15	≥	≥	NOUN
ejpam-5753	147	16	2	2	NUM
ejpam-5753	147	17	lemma	lemma	PROPN
ejpam-5753	147	18	4	4	NUM
ejpam-5753	147	19	.	.	PUNCT
ejpam-5753	147	20	for	for	ADP
ejpam-5753	147	21	fccn2	fccn2	NOUN
ejpam-5753	147	22	,	,	PUNCT
ejpam-5753	147	23	we	we	PRON
ejpam-5753	147	24	have	have	VERB
ejpam-5753	147	25	γp,2(fccn2	γp,2(fccn2	PROPN
ejpam-5753	147	26	)	)	PUNCT
ejpam-5753	147	27	≥	≥	NOUN
ejpam-5753	148	1	2	2	NUM
ejpam-5753	148	2	.	.	PUNCT
ejpam-5753	148	3	proof	proof	NOUN
ejpam-5753	148	4	.	.	PUNCT
ejpam-5753	149	1	fccn2	fccn2	NOUN
ejpam-5753	149	2	contains	contain	VERB
ejpam-5753	149	3	eight	eight	NUM
ejpam-5753	149	4	node	node	ADJ
ejpam-5753	149	5	distinct	distinct	ADJ
ejpam-5753	149	6	copies	copy	NOUN
ejpam-5753	149	7	of	of	ADP
ejpam-5753	149	8	fccn1	fccn1	NOUN
ejpam-5753	149	9	,	,	PUNCT
ejpam-5753	149	10	say	say	VERB
ejpam-5753	149	11	0fccn1	0fccn1	NUM
ejpam-5753	149	12	,	,	PUNCT
ejpam-5753	149	13	1fccn1	1fccn1	NUM
ejpam-5753	149	14	,	,	PUNCT
ejpam-5753	149	15	.	.	PUNCT
ejpam-5753	149	16	.	.	PUNCT
ejpam-5753	150	1	.	.	PUNCT
ejpam-5753	151	1	,	,	PUNCT
ejpam-5753	151	2	7fccn1	7fccn1	X
ejpam-5753	151	3	.	.	PUNCT
ejpam-5753	152	1	let	let	VERB
ejpam-5753	152	2	s	s	PRON
ejpam-5753	152	3	be	be	AUX
ejpam-5753	152	4	a	a	DET
ejpam-5753	152	5	2	2	NUM
ejpam-5753	152	6	-	-	PUNCT
ejpam-5753	152	7	pd	pd	NOUN
ejpam-5753	152	8	set	set	NOUN
ejpam-5753	152	9	of	of	ADP
ejpam-5753	152	10	g.	g.	PROPN
ejpam-5753	152	11	we	we	PRON
ejpam-5753	152	12	claim	claim	VERB
ejpam-5753	152	13	that	that	SCONJ
ejpam-5753	152	14	|s|	|s|	VERB
ejpam-5753	152	15	≥	≥	NOUN
ejpam-5753	152	16	2	2	NUM
ejpam-5753	152	17	.	.	PUNCT
ejpam-5753	153	1	a	a	DET
ejpam-5753	153	2	node	node	NOUN
ejpam-5753	153	3	v	v	NOUN
ejpam-5753	153	4	in	in	ADP
ejpam-5753	153	5	g	g	PROPN
ejpam-5753	153	6	is	be	AUX
ejpam-5753	153	7	of	of	ADP
ejpam-5753	153	8	the	the	DET
ejpam-5753	153	9	following	follow	VERB
ejpam-5753	153	10	two	two	NUM
ejpam-5753	153	11	categories	category	NOUN
ejpam-5753	153	12	:	:	PUNCT
ejpam-5753	153	13	(	(	PUNCT
ejpam-5753	153	14	i	i	NOUN
ejpam-5753	153	15	)	)	PUNCT
ejpam-5753	153	16	v	v	NOUN
ejpam-5753	153	17	is	be	AUX
ejpam-5753	153	18	adjacent	adjacent	ADJ
ejpam-5753	153	19	to	to	ADP
ejpam-5753	153	20	only	only	ADV
ejpam-5753	153	21	nodes	node	NOUN
ejpam-5753	153	22	of	of	ADP
ejpam-5753	153	23	degree	degree	NOUN
ejpam-5753	153	24	4	4	NUM
ejpam-5753	153	25	.	.	PUNCT
ejpam-5753	153	26	(	(	PUNCT
ejpam-5753	153	27	ii	ii	NOUN
ejpam-5753	153	28	)	)	PUNCT
ejpam-5753	153	29	v	v	NOUN
ejpam-5753	153	30	is	be	AUX
ejpam-5753	153	31	adjacent	adjacent	ADJ
ejpam-5753	153	32	to	to	ADP
ejpam-5753	153	33	a	a	DET
ejpam-5753	153	34	node	node	NOUN
ejpam-5753	153	35	of	of	ADP
ejpam-5753	153	36	degree	degree	NOUN
ejpam-5753	153	37	3	3	NUM
ejpam-5753	153	38	.	.	PUNCT
ejpam-5753	153	39	suppose	suppose	VERB
ejpam-5753	153	40	|s|	|s|	PROPN
ejpam-5753	153	41	=	=	SYM
ejpam-5753	153	42	1	1	NUM
ejpam-5753	153	43	.	.	PUNCT
ejpam-5753	154	1	then	then	ADV
ejpam-5753	154	2	the	the	DET
ejpam-5753	154	3	only	only	ADJ
ejpam-5753	154	4	node	node	NOUN
ejpam-5753	154	5	in	in	ADP
ejpam-5753	154	6	s	s	NOUN
ejpam-5753	154	7	can	can	AUX
ejpam-5753	154	8	not	not	PART
ejpam-5753	154	9	be	be	AUX
ejpam-5753	154	10	a	a	DET
ejpam-5753	154	11	node	node	NOUN
ejpam-5753	154	12	of	of	ADP
ejpam-5753	154	13	category	category	NOUN
ejpam-5753	154	14	(	(	PUNCT
ejpam-5753	154	15	i	i	NOUN
ejpam-5753	154	16	)	)	PUNCT
ejpam-5753	154	17	.	.	PUNCT
ejpam-5753	155	1	therefore	therefore	ADV
ejpam-5753	155	2	,	,	PUNCT
ejpam-5753	155	3	let	let	VERB
ejpam-5753	155	4	s	s	PRON
ejpam-5753	155	5	=	=	PUNCT
ejpam-5753	155	6	{	{	PUNCT
ejpam-5753	155	7	u	u	NOUN
ejpam-5753	155	8	}	}	PUNCT
ejpam-5753	155	9	where	where	SCONJ
ejpam-5753	155	10	u	u	NOUN
ejpam-5753	155	11	is	be	AUX
ejpam-5753	155	12	a	a	DET
ejpam-5753	155	13	boundary	boundary	ADJ
ejpam-5753	155	14	node	node	NOUN
ejpam-5753	155	15	.	.	PUNCT
ejpam-5753	156	1	the	the	DET
ejpam-5753	156	2	neighbours	neighbour	NOUN
ejpam-5753	156	3	of	of	ADP
ejpam-5753	156	4	u	u	NOUN
ejpam-5753	156	5	are	be	AUX
ejpam-5753	156	6	x	x	X
ejpam-5753	156	7	,	,	PUNCT
ejpam-5753	156	8	y	y	PROPN
ejpam-5753	156	9	,	,	PUNCT
ejpam-5753	156	10	z	z	PROPN
ejpam-5753	156	11	,	,	PUNCT
ejpam-5753	156	12	say	say	INTJ
ejpam-5753	156	13	,	,	PUNCT
ejpam-5753	156	14	in	in	ADP
ejpam-5753	156	15	some	some	DET
ejpam-5753	156	16	fccn1	fccn1	NOUN
ejpam-5753	156	17	,	,	PUNCT
ejpam-5753	156	18	each	each	PRON
ejpam-5753	156	19	of	of	ADP
ejpam-5753	156	20	which	which	PRON
ejpam-5753	156	21	is	be	AUX
ejpam-5753	156	22	adjacent	adjacent	ADJ
ejpam-5753	156	23	to	to	ADP
ejpam-5753	156	24	2	2	NUM
ejpam-5753	156	25	vertices	vertex	NOUN
ejpam-5753	156	26	of	of	ADP
ejpam-5753	156	27	the	the	DET
ejpam-5753	156	28	same	same	ADJ
ejpam-5753	156	29	fccn1	fccn1	NOUN
ejpam-5753	156	30	and	and	CCONJ
ejpam-5753	156	31	one	one	NUM
ejpam-5753	156	32	node	node	NOUN
ejpam-5753	156	33	in	in	ADP
ejpam-5753	156	34	three	three	NUM
ejpam-5753	156	35	disjoint	disjoint	ADJ
ejpam-5753	156	36	copies	copy	NOUN
ejpam-5753	156	37	of	of	ADP
ejpam-5753	156	38	fccn1	fccn1	PROPN
ejpam-5753	156	39	.	.	PUNCT
ejpam-5753	157	1	see	see	VERB
ejpam-5753	157	2	figure	figure	NOUN
ejpam-5753	157	3	3(b	3(b	NUM
ejpam-5753	157	4	)	)	PUNCT
ejpam-5753	157	5	.	.	PUNCT
ejpam-5753	158	1	none	none	NOUN
ejpam-5753	158	2	of	of	ADP
ejpam-5753	158	3	these	these	DET
ejpam-5753	158	4	nodes	node	NOUN
ejpam-5753	158	5	is	be	AUX
ejpam-5753	158	6	adjacent	adjacent	ADJ
ejpam-5753	158	7	to	to	ADP
ejpam-5753	158	8	j.	j.	PROPN
ejpam-5753	158	9	anitha	anitha	PROPN
ejpam-5753	158	10	et	et	PROPN
ejpam-5753	158	11	al	al	PROPN
ejpam-5753	158	12	.	.	PUNCT
ejpam-5753	158	13	/	/	SYM
ejpam-5753	158	14	eur	eur	PROPN
ejpam-5753	158	15	.	.	PUNCT
ejpam-5753	159	1	j.	j.	PROPN
ejpam-5753	159	2	pure	pure	PROPN
ejpam-5753	159	3	appl	appl	PROPN
ejpam-5753	159	4	.	.	PROPN
ejpam-5753	159	5	math	math	PROPN
ejpam-5753	159	6	,	,	PUNCT
ejpam-5753	159	7	18	18	NUM
ejpam-5753	159	8	(	(	PUNCT
ejpam-5753	159	9	1	1	NUM
ejpam-5753	159	10	)	)	PUNCT
ejpam-5753	159	11	(	(	PUNCT
ejpam-5753	159	12	2025	2025	NUM
ejpam-5753	159	13	)	)	PUNCT
ejpam-5753	159	14	,	,	PUNCT
ejpam-5753	159	15	5753	5753	NUM
ejpam-5753	159	16	8	8	NUM
ejpam-5753	159	17	of	of	ADP
ejpam-5753	159	18	16	16	NUM
ejpam-5753	159	19	unmonitored	unmonitored	ADJ
ejpam-5753	159	20	nodes	node	NOUN
ejpam-5753	159	21	of	of	ADP
ejpam-5753	159	22	degree	degree	NOUN
ejpam-5753	159	23	at	at	ADP
ejpam-5753	159	24	most	most	ADV
ejpam-5753	159	25	2	2	NUM
ejpam-5753	159	26	.	.	X
ejpam-5753	159	27	hence	hence	ADV
ejpam-5753	159	28	|s|	|s|	NOUN
ejpam-5753	159	29	=	=	NOUN
ejpam-5753	159	30	̸	̸	NUM
ejpam-5753	159	31	1	1	NUM
ejpam-5753	159	32	.	.	PUNCT
ejpam-5753	160	1	lemma	lemma	PROPN
ejpam-5753	160	2	5	5	X
ejpam-5753	160	3	.	.	PUNCT
ejpam-5753	161	1	let	let	VERB
ejpam-5753	161	2	s	s	PRON
ejpam-5753	161	3	be	be	AUX
ejpam-5753	161	4	a	a	DET
ejpam-5753	161	5	2	2	NUM
ejpam-5753	161	6	-	-	PUNCT
ejpam-5753	161	7	pd	pd	NOUN
ejpam-5753	161	8	set	set	NOUN
ejpam-5753	161	9	fccn3	fccn3	PROPN
ejpam-5753	161	10	.	.	PUNCT
ejpam-5753	162	1	then	then	ADV
ejpam-5753	162	2	|v	|v	PROPN
ejpam-5753	162	3	(	(	PUNCT
ejpam-5753	162	4	fccn3	fccn3	NOUN
ejpam-5753	162	5	)	)	PUNCT
ejpam-5753	162	6	∩	∩	NOUN
ejpam-5753	162	7	s|	s|	VERB
ejpam-5753	162	8	≥	≥	NOUN
ejpam-5753	162	9	9	9	NUM
ejpam-5753	162	10	.	.	PUNCT
ejpam-5753	163	1	proof	proof	NOUN
ejpam-5753	163	2	.	.	PUNCT
ejpam-5753	164	1	let	let	VERB
ejpam-5753	164	2	s	s	PRON
ejpam-5753	164	3	be	be	AUX
ejpam-5753	164	4	a	a	DET
ejpam-5753	164	5	2	2	NUM
ejpam-5753	164	6	-	-	PUNCT
ejpam-5753	164	7	pd	pd	NOUN
ejpam-5753	164	8	set	set	NOUN
ejpam-5753	164	9	of	of	ADP
ejpam-5753	164	10	fccn3	fccn3	NOUN
ejpam-5753	164	11	.	.	PUNCT
ejpam-5753	165	1	we	we	PRON
ejpam-5753	165	2	claim	claim	VERB
ejpam-5753	165	3	that	that	SCONJ
ejpam-5753	165	4	|s|	|s|	VERB
ejpam-5753	165	5	≥	≥	NOUN
ejpam-5753	165	6	9	9	NUM
ejpam-5753	165	7	.	.	PUNCT
ejpam-5753	165	8	suppose	suppose	VERB
ejpam-5753	165	9	not	not	PART
ejpam-5753	165	10	,	,	PUNCT
ejpam-5753	165	11	fccn3	fccn3	NOUN
ejpam-5753	165	12	is	be	AUX
ejpam-5753	165	13	composed	compose	VERB
ejpam-5753	165	14	of	of	ADP
ejpam-5753	165	15	eight	eight	NUM
ejpam-5753	165	16	copies	copy	NOUN
ejpam-5753	165	17	of	of	ADP
ejpam-5753	165	18	fccn2	fccn2	NOUN
ejpam-5753	165	19	,	,	PUNCT
ejpam-5753	165	20	denoted	denote	VERB
ejpam-5753	165	21	by	by	ADP
ejpam-5753	165	22	0fccn2	0fccn2	NUM
ejpam-5753	165	23	,	,	PUNCT
ejpam-5753	165	24	1fccn2	1fccn2	NUM
ejpam-5753	165	25	,	,	PUNCT
ejpam-5753	165	26	.	.	PUNCT
ejpam-5753	165	27	.	.	PUNCT
ejpam-5753	166	1	.	.	PUNCT
ejpam-5753	167	1	,	,	PUNCT
ejpam-5753	168	1	7fccn2	7fccn2	X
ejpam-5753	168	2	.	.	PUNCT
ejpam-5753	169	1	even	even	ADV
ejpam-5753	169	2	if	if	SCONJ
ejpam-5753	169	3	,	,	PUNCT
ejpam-5753	169	4	all	all	DET
ejpam-5753	169	5	ifccn2	ifccn2	PROPN
ejpam-5753	169	6	,	,	PUNCT
ejpam-5753	169	7	0	0	NUM
ejpam-5753	169	8	≤	≤	NUM
ejpam-5753	169	9	i	i	PRON
ejpam-5753	169	10	≤	≤	ADV
ejpam-5753	169	11	7	7	NUM
ejpam-5753	169	12	contains	contain	VERB
ejpam-5753	169	13	exactly	exactly	ADV
ejpam-5753	169	14	one	one	NUM
ejpam-5753	169	15	node	node	NOUN
ejpam-5753	169	16	from	from	ADP
ejpam-5753	169	17	2	2	NUM
ejpam-5753	169	18	-	-	PUNCT
ejpam-5753	169	19	pd	pd	NOUN
ejpam-5753	169	20	set	set	NOUN
ejpam-5753	169	21	.	.	PUNCT
ejpam-5753	170	1	a	a	DET
ejpam-5753	170	2	node	node	NOUN
ejpam-5753	170	3	v	v	ADP
ejpam-5753	170	4	∈	∈	PROPN
ejpam-5753	170	5	s	s	NOUN
ejpam-5753	170	6	in	in	ADP
ejpam-5753	170	7	g	g	PROPN
ejpam-5753	170	8	is	be	AUX
ejpam-5753	170	9	of	of	ADP
ejpam-5753	170	10	the	the	DET
ejpam-5753	170	11	following	follow	VERB
ejpam-5753	170	12	three	three	NUM
ejpam-5753	170	13	categories	category	NOUN
ejpam-5753	170	14	:	:	PUNCT
ejpam-5753	170	15	(	(	PUNCT
ejpam-5753	170	16	i	i	NOUN
ejpam-5753	170	17	)	)	PUNCT
ejpam-5753	170	18	v	v	NOUN
ejpam-5753	170	19	is	be	AUX
ejpam-5753	170	20	of	of	ADP
ejpam-5753	170	21	degree	degree	NOUN
ejpam-5753	170	22	3	3	NUM
ejpam-5753	170	23	.	.	PUNCT
ejpam-5753	170	24	(	(	PUNCT
ejpam-5753	170	25	ii	ii	NOUN
ejpam-5753	170	26	)	)	PUNCT
ejpam-5753	170	27	v	v	NOUN
ejpam-5753	170	28	is	be	AUX
ejpam-5753	170	29	of	of	ADP
ejpam-5753	170	30	degree	degree	NOUN
ejpam-5753	170	31	4	4	NUM
ejpam-5753	170	32	not	not	PART
ejpam-5753	170	33	adjacent	adjacent	ADJ
ejpam-5753	170	34	to	to	ADP
ejpam-5753	170	35	a	a	DET
ejpam-5753	170	36	node	node	NOUN
ejpam-5753	170	37	of	of	ADP
ejpam-5753	170	38	degree	degree	NOUN
ejpam-5753	170	39	3	3	NUM
ejpam-5753	170	40	.	.	PUNCT
ejpam-5753	170	41	(	(	PUNCT
ejpam-5753	170	42	iii	iii	X
ejpam-5753	170	43	)	)	PUNCT
ejpam-5753	170	44	v	v	NOUN
ejpam-5753	170	45	is	be	AUX
ejpam-5753	170	46	adjacent	adjacent	ADJ
ejpam-5753	170	47	to	to	ADP
ejpam-5753	170	48	a	a	DET
ejpam-5753	170	49	node	node	NOUN
ejpam-5753	170	50	of	of	ADP
ejpam-5753	170	51	degree	degree	NOUN
ejpam-5753	170	52	3	3	NUM
ejpam-5753	170	53	.	.	PUNCT
ejpam-5753	170	54	suppose	suppose	VERB
ejpam-5753	170	55	|s|	|s|	PROPN
ejpam-5753	170	56	=	=	SYM
ejpam-5753	170	57	8	8	X
ejpam-5753	170	58	.	.	PUNCT
ejpam-5753	171	1	let	let	VERB
ejpam-5753	171	2	s	s	PRON
ejpam-5753	171	3	can	can	AUX
ejpam-5753	171	4	be	be	AUX
ejpam-5753	171	5	a	a	DET
ejpam-5753	171	6	node	node	NOUN
ejpam-5753	171	7	of	of	ADP
ejpam-5753	171	8	category	category	NOUN
ejpam-5753	171	9	(	(	PUNCT
ejpam-5753	171	10	i	i	NOUN
ejpam-5753	171	11	)	)	PUNCT
ejpam-5753	171	12	and	and	CCONJ
ejpam-5753	171	13	category	category	NOUN
ejpam-5753	171	14	(	(	PUNCT
ejpam-5753	171	15	ii	ii	NOUN
ejpam-5753	171	16	)	)	PUNCT
ejpam-5753	171	17	.	.	PUNCT
ejpam-5753	172	1	therefore	therefore	ADV
ejpam-5753	172	2	,	,	PUNCT
ejpam-5753	172	3	let	let	VERB
ejpam-5753	172	4	s	s	PRON
ejpam-5753	172	5	=	=	PUNCT
ejpam-5753	172	6	{	{	PUNCT
ejpam-5753	172	7	ui	ui	NOUN
ejpam-5753	172	8	:	:	PUNCT
ejpam-5753	172	9	deg(ui	deg(ui	X
ejpam-5753	172	10	)	)	PUNCT
ejpam-5753	172	11	=	=	SYM
ejpam-5753	172	12	3	3	NUM
ejpam-5753	172	13	or	or	CCONJ
ejpam-5753	172	14	deg(ui	deg(ui	PRON
ejpam-5753	172	15	)	)	PUNCT
ejpam-5753	172	16	=	=	SYM
ejpam-5753	172	17	4	4	X
ejpam-5753	172	18	}	}	PUNCT
ejpam-5753	172	19	where	where	SCONJ
ejpam-5753	172	20	ui	ui	PROPN
ejpam-5753	172	21	is	be	AUX
ejpam-5753	172	22	a	a	DET
ejpam-5753	172	23	boundary	boundary	ADJ
ejpam-5753	172	24	node	node	NOUN
ejpam-5753	172	25	in	in	ADP
ejpam-5753	172	26	each	each	DET
ejpam-5753	172	27	fccn2	fccn2	NOUN
ejpam-5753	172	28	or	or	CCONJ
ejpam-5753	172	29	not	not	PART
ejpam-5753	172	30	adjacent	adjacent	ADJ
ejpam-5753	172	31	to	to	ADP
ejpam-5753	172	32	a	a	DET
ejpam-5753	172	33	boundary	boundary	ADJ
ejpam-5753	172	34	node	node	NOUN
ejpam-5753	172	35	.	.	PUNCT
ejpam-5753	173	1	the	the	DET
ejpam-5753	173	2	neighbours	neighbour	NOUN
ejpam-5753	173	3	of	of	ADP
ejpam-5753	173	4	ui	ui	PROPN
ejpam-5753	173	5	are	be	AUX
ejpam-5753	173	6	x	x	PROPN
ejpam-5753	173	7	,	,	PUNCT
ejpam-5753	173	8	y	y	PROPN
ejpam-5753	173	9	,	,	PUNCT
ejpam-5753	173	10	z	z	PROPN
ejpam-5753	173	11	,	,	PUNCT
ejpam-5753	173	12	say	say	INTJ
ejpam-5753	173	13	,	,	PUNCT
ejpam-5753	173	14	in	in	ADP
ejpam-5753	173	15	some	some	DET
ejpam-5753	173	16	fccn1	fccn1	NOUN
ejpam-5753	173	17	,	,	PUNCT
ejpam-5753	173	18	each	each	PRON
ejpam-5753	173	19	of	of	ADP
ejpam-5753	173	20	which	which	PRON
ejpam-5753	173	21	is	be	AUX
ejpam-5753	173	22	adjacent	adjacent	ADJ
ejpam-5753	173	23	to	to	ADP
ejpam-5753	173	24	2	2	NUM
ejpam-5753	173	25	nodes	node	NOUN
ejpam-5753	173	26	of	of	ADP
ejpam-5753	173	27	the	the	DET
ejpam-5753	173	28	same	same	ADJ
ejpam-5753	173	29	fccn1	fccn1	NOUN
ejpam-5753	173	30	and	and	CCONJ
ejpam-5753	173	31	one	one	NUM
ejpam-5753	173	32	node	node	NOUN
ejpam-5753	173	33	in	in	ADP
ejpam-5753	173	34	three	three	NUM
ejpam-5753	173	35	disjoint	disjoint	ADJ
ejpam-5753	173	36	copies	copy	NOUN
ejpam-5753	173	37	of	of	ADP
ejpam-5753	173	38	fccn1	fccn1	NOUN
ejpam-5753	173	39	.	.	PUNCT
ejpam-5753	174	1	further	further	ADJ
ejpam-5753	174	2	propagation	propagation	NOUN
ejpam-5753	174	3	can	can	AUX
ejpam-5753	174	4	not	not	PART
ejpam-5753	174	5	be	be	AUX
ejpam-5753	174	6	done	do	VERB
ejpam-5753	174	7	.	.	PUNCT
ejpam-5753	175	1	see	see	VERB
ejpam-5753	175	2	figure	figure	NOUN
ejpam-5753	175	3	1(b	1(b	NUM
ejpam-5753	175	4	)	)	PUNCT
ejpam-5753	175	5	.	.	PUNCT
ejpam-5753	176	1	none	none	NOUN
ejpam-5753	176	2	of	of	ADP
ejpam-5753	176	3	these	these	DET
ejpam-5753	176	4	vertices	vertex	NOUN
ejpam-5753	176	5	is	be	AUX
ejpam-5753	176	6	adjacent	adjacent	ADJ
ejpam-5753	176	7	to	to	ADP
ejpam-5753	176	8	unmonitored	unmonitored	ADJ
ejpam-5753	176	9	vertices	vertex	NOUN
ejpam-5753	176	10	of	of	ADP
ejpam-5753	176	11	degree	degree	NOUN
ejpam-5753	176	12	at	at	ADP
ejpam-5753	176	13	most	most	ADV
ejpam-5753	176	14	2	2	NUM
ejpam-5753	176	15	.	.	X
ejpam-5753	176	16	hence	hence	ADV
ejpam-5753	176	17	|s|	|s|	NOUN
ejpam-5753	176	18	=	=	NOUN
ejpam-5753	176	19	̸	̸	NUM
ejpam-5753	176	20	8	8	NUM
ejpam-5753	176	21	.	.	PUNCT
ejpam-5753	177	1	suppose	suppose	VERB
ejpam-5753	177	2	s	s	X
ejpam-5753	177	3	=	=	PUNCT
ejpam-5753	177	4	{	{	PUNCT
ejpam-5753	177	5	ui	ui	NOUN
ejpam-5753	177	6	:	:	PUNCT
ejpam-5753	177	7	deg(ui	deg(ui	X
ejpam-5753	177	8	)	)	PUNCT
ejpam-5753	177	9	=	=	SYM
ejpam-5753	177	10	4	4	X
ejpam-5753	177	11	}	}	PUNCT
ejpam-5753	177	12	can	can	AUX
ejpam-5753	177	13	be	be	AUX
ejpam-5753	177	14	a	a	DET
ejpam-5753	177	15	node	node	NOUN
ejpam-5753	177	16	of	of	ADP
ejpam-5753	177	17	category	category	NOUN
ejpam-5753	177	18	(	(	PUNCT
ejpam-5753	177	19	iii	iii	NOUN
ejpam-5753	177	20	)	)	PUNCT
ejpam-5753	177	21	in	in	ADP
ejpam-5753	177	22	some	some	DET
ejpam-5753	177	23	fccn1	fccn1	NOUN
ejpam-5753	177	24	.	.	PUNCT
ejpam-5753	178	1	then	then	ADV
ejpam-5753	178	2	each	each	DET
ejpam-5753	178	3	boundary	boundary	ADJ
ejpam-5753	178	4	node	node	NOUN
ejpam-5753	178	5	is	be	AUX
ejpam-5753	178	6	adjacent	adjacent	ADJ
ejpam-5753	178	7	to	to	ADP
ejpam-5753	178	8	two	two	NUM
ejpam-5753	178	9	nodes	node	NOUN
ejpam-5753	178	10	,	,	PUNCT
ejpam-5753	178	11	then	then	ADV
ejpam-5753	178	12	the	the	DET
ejpam-5753	178	13	boundary	boundary	ADJ
ejpam-5753	178	14	nodes	node	NOUN
ejpam-5753	178	15	can	can	AUX
ejpam-5753	178	16	monitor	monitor	VERB
ejpam-5753	178	17	their	their	PRON
ejpam-5753	178	18	neighbouring	neighbouring	ADJ
ejpam-5753	178	19	nodes	node	NOUN
ejpam-5753	178	20	.	.	PUNCT
ejpam-5753	179	1	then	then	ADV
ejpam-5753	179	2	nodes	node	NOUN
ejpam-5753	179	3	in	in	ADP
ejpam-5753	179	4	m1(s	m1(	NOUN
ejpam-5753	179	5	)	)	PUNCT
ejpam-5753	179	6	is	be	AUX
ejpam-5753	179	7	adjacent	adjacent	ADJ
ejpam-5753	179	8	to	to	ADP
ejpam-5753	179	9	two	two	NUM
ejpam-5753	179	10	nodes	node	NOUN
ejpam-5753	179	11	in	in	ADP
ejpam-5753	179	12	same	same	ADJ
ejpam-5753	179	13	fccn1	fccn1	NOUN
ejpam-5753	179	14	and	and	CCONJ
ejpam-5753	179	15	one	one	NUM
ejpam-5753	179	16	node	node	NOUN
ejpam-5753	179	17	in	in	ADP
ejpam-5753	179	18	three	three	NUM
ejpam-5753	179	19	disjoint	disjoint	ADJ
ejpam-5753	179	20	copies	copy	NOUN
ejpam-5753	179	21	of	of	ADP
ejpam-5753	179	22	fccn1	fccn1	NOUN
ejpam-5753	179	23	.	.	PUNCT
ejpam-5753	180	1	further	further	ADJ
ejpam-5753	180	2	propagation	propagation	NOUN
ejpam-5753	180	3	can	can	AUX
ejpam-5753	180	4	not	not	PART
ejpam-5753	180	5	be	be	AUX
ejpam-5753	180	6	done	do	VERB
ejpam-5753	180	7	.	.	PUNCT
ejpam-5753	181	1	hence	hence	ADV
ejpam-5753	181	2	|s|	|s|	VERB
ejpam-5753	181	3	=	=	NOUN
ejpam-5753	181	4	̸	̸	NUM
ejpam-5753	181	5	8	8	NUM
ejpam-5753	181	6	.	.	PUNCT
ejpam-5753	182	1	thus	thus	ADV
ejpam-5753	182	2	|s|	|s|	PROPN
ejpam-5753	182	3	=	=	SYM
ejpam-5753	182	4	9	9	NUM
ejpam-5753	182	5	.	.	PUNCT
ejpam-5753	182	6	therefore	therefore	ADV
ejpam-5753	182	7	,	,	PUNCT
ejpam-5753	182	8	γp,2(fccn3	γp,2(fccn3	NOUN
ejpam-5753	182	9	)	)	PUNCT
ejpam-5753	182	10	=	=	SYM
ejpam-5753	183	1	9	9	X
ejpam-5753	183	2	.	.	X
ejpam-5753	184	1	lemma	lemma	PROPN
ejpam-5753	184	2	6	6	NUM
ejpam-5753	184	3	.	.	PUNCT
ejpam-5753	185	1	for	for	ADP
ejpam-5753	185	2	fccn	fccn	PROPN
ejpam-5753	185	3	,	,	PUNCT
ejpam-5753	185	4	n	n	X
ejpam-5753	185	5	≥	≥	NOUN
ejpam-5753	185	6	3	3	NUM
ejpam-5753	185	7	,	,	PUNCT
ejpam-5753	185	8	we	we	PRON
ejpam-5753	185	9	have	have	VERB
ejpam-5753	185	10	γp,2(fccnr	γp,2(fccnr	NUM
ejpam-5753	185	11	)	)	PUNCT
ejpam-5753	185	12	≥	≥	NOUN
ejpam-5753	185	13	9×	9×	NUM
ejpam-5753	185	14	8r−3	8r−3	NUM
ejpam-5753	185	15	.	.	PUNCT
ejpam-5753	186	1	proof	proof	NOUN
ejpam-5753	186	2	.	.	PUNCT
ejpam-5753	187	1	we	we	PRON
ejpam-5753	187	2	prove	prove	VERB
ejpam-5753	187	3	the	the	DET
ejpam-5753	187	4	result	result	NOUN
ejpam-5753	187	5	by	by	ADP
ejpam-5753	187	6	induction	induction	NOUN
ejpam-5753	187	7	on	on	ADP
ejpam-5753	187	8	r.	r.	PROPN
ejpam-5753	187	9	we	we	PRON
ejpam-5753	187	10	consider	consider	VERB
ejpam-5753	187	11	the	the	DET
ejpam-5753	187	12	case	case	NOUN
ejpam-5753	187	13	when	when	SCONJ
ejpam-5753	187	14	r	r	NOUN
ejpam-5753	187	15	=	=	SYM
ejpam-5753	187	16	3	3	X
ejpam-5753	187	17	.	.	X
ejpam-5753	187	18	h3	h3	NOUN
ejpam-5753	187	19	has	have	VERB
ejpam-5753	187	20	eight	eight	NUM
ejpam-5753	187	21	node	node	ADJ
ejpam-5753	187	22	disjoint	disjoint	NOUN
ejpam-5753	187	23	copies	copy	NOUN
ejpam-5753	187	24	of	of	ADP
ejpam-5753	187	25	fccn2	fccn2	PROPN
ejpam-5753	187	26	,	,	PUNCT
ejpam-5753	187	27	say	say	VERB
ejpam-5753	187	28	fccn2	fccn2	PROPN
ejpam-5753	187	29	,	,	PUNCT
ejpam-5753	187	30	1fccn2	1fccn2	NUM
ejpam-5753	187	31	,	,	PUNCT
ejpam-5753	187	32	.	.	PUNCT
ejpam-5753	187	33	.	.	PUNCT
ejpam-5753	188	1	.	.	PUNCT
ejpam-5753	189	1	,	,	PUNCT
ejpam-5753	189	2	7fccn2	7fccn2	X
ejpam-5753	189	3	.	.	PUNCT
ejpam-5753	190	1	let	let	VERB
ejpam-5753	190	2	s	s	PRON
ejpam-5753	190	3	be	be	AUX
ejpam-5753	190	4	a	a	DET
ejpam-5753	190	5	2	2	NUM
ejpam-5753	190	6	-	-	PUNCT
ejpam-5753	190	7	power	power	NOUN
ejpam-5753	190	8	dominating	dominating	NOUN
ejpam-5753	190	9	set	set	NOUN
ejpam-5753	190	10	of	of	ADP
ejpam-5753	190	11	fccnr	fccnr	NOUN
ejpam-5753	190	12	.	.	PUNCT
ejpam-5753	191	1	we	we	PRON
ejpam-5753	191	2	claim	claim	VERB
ejpam-5753	191	3	that	that	SCONJ
ejpam-5753	191	4	|s|	|s|	VERB
ejpam-5753	191	5	≥	≥	NOUN
ejpam-5753	191	6	9	9	NUM
ejpam-5753	191	7	.	.	PUNCT
ejpam-5753	192	1	by	by	ADP
ejpam-5753	192	2	lemma	lemma	PROPN
ejpam-5753	192	3	5	5	NUM
ejpam-5753	192	4	,	,	PUNCT
ejpam-5753	192	5	there	there	PRON
ejpam-5753	192	6	are	be	VERB
ejpam-5753	192	7	at	at	ADV
ejpam-5753	192	8	least	least	ADV
ejpam-5753	192	9	one	one	NUM
ejpam-5753	192	10	vertex	vertex	NOUN
ejpam-5753	192	11	in	in	ADP
ejpam-5753	192	12	each	each	DET
ejpam-5753	192	13	copy	copy	NOUN
ejpam-5753	192	14	of	of	ADP
ejpam-5753	192	15	fccn2	fccn2	NOUN
ejpam-5753	192	16	and	and	CCONJ
ejpam-5753	192	17	one	one	NUM
ejpam-5753	192	18	more	more	ADV
ejpam-5753	192	19	additional	additional	ADJ
ejpam-5753	192	20	vertex	vertex	NOUN
ejpam-5753	192	21	to	to	PART
ejpam-5753	192	22	monitor	monitor	VERB
ejpam-5753	192	23	fccn3	fccn3	NOUN
ejpam-5753	192	24	.	.	PUNCT
ejpam-5753	193	1	hence	hence	ADV
ejpam-5753	193	2	|s|	|s|	PROPN
ejpam-5753	193	3	≥	≥	PROPN
ejpam-5753	193	4	9	9	NUM
ejpam-5753	193	5	.	.	PUNCT
ejpam-5753	194	1	therefore	therefore	ADV
ejpam-5753	194	2	,	,	PUNCT
ejpam-5753	194	3	γp,2(fccn3	γp,2(fccn3	PROPN
ejpam-5753	194	4	)	)	PUNCT
ejpam-5753	194	5	≥	≥	NOUN
ejpam-5753	194	6	9	9	NUM
ejpam-5753	194	7	.	.	PUNCT
ejpam-5753	194	8	assume	assume	VERB
ejpam-5753	194	9	the	the	DET
ejpam-5753	194	10	result	result	NOUN
ejpam-5753	194	11	is	be	AUX
ejpam-5753	194	12	true	true	ADJ
ejpam-5753	194	13	for	for	ADP
ejpam-5753	194	14	r	r	NOUN
ejpam-5753	194	15	=	=	SYM
ejpam-5753	194	16	k	k	NOUN
ejpam-5753	194	17	,	,	PUNCT
ejpam-5753	194	18	r	r	NOUN
ejpam-5753	194	19	≥	≥	NOUN
ejpam-5753	194	20	3	3	NUM
ejpam-5753	194	21	.	.	PUNCT
ejpam-5753	195	1	that	that	PRON
ejpam-5753	195	2	is	is	ADV
ejpam-5753	195	3	,	,	PUNCT
ejpam-5753	195	4	γp,2(fccnk	γp,2(fccnk	PROPN
ejpam-5753	195	5	)	)	PUNCT
ejpam-5753	195	6	≥	≥	NOUN
ejpam-5753	195	7	9	9	NUM
ejpam-5753	195	8	×	×	NOUN
ejpam-5753	195	9	8k−3	8k−3	NOUN
ejpam-5753	195	10	.	.	PUNCT
ejpam-5753	196	1	consider	consider	VERB
ejpam-5753	196	2	the	the	DET
ejpam-5753	196	3	case	case	NOUN
ejpam-5753	196	4	when	when	SCONJ
ejpam-5753	196	5	r	r	NOUN
ejpam-5753	196	6	=	=	SYM
ejpam-5753	196	7	k+1	k+1	X
ejpam-5753	196	8	.	.	PUNCT
ejpam-5753	196	9	let	let	VERB
ejpam-5753	196	10	s	s	PRON
ejpam-5753	196	11	be	be	AUX
ejpam-5753	196	12	a	a	DET
ejpam-5753	196	13	2	2	NUM
ejpam-5753	196	14	-	-	PUNCT
ejpam-5753	196	15	power	power	NOUN
ejpam-5753	196	16	dominating	dominating	NOUN
ejpam-5753	196	17	set	set	VERB
ejpam-5753	196	18	hk+1	hk+1	NOUN
ejpam-5753	196	19	.	.	PUNCT
ejpam-5753	197	1	we	we	PRON
ejpam-5753	197	2	have	have	VERB
ejpam-5753	197	3	to	to	PART
ejpam-5753	197	4	prove	prove	VERB
ejpam-5753	197	5	that	that	SCONJ
ejpam-5753	197	6	γp,2(fccnk+1	γp,2(fccnk+1	NOUN
ejpam-5753	197	7	)	)	PUNCT
ejpam-5753	197	8	≥	≥	NOUN
ejpam-5753	197	9	9×	9×	NUM
ejpam-5753	197	10	8k−2	8k−2	NUM
ejpam-5753	197	11	.	.	PUNCT
ejpam-5753	198	1	suppose	suppose	VERB
ejpam-5753	198	2	not	not	PART
ejpam-5753	198	3	,	,	PUNCT
ejpam-5753	198	4	let	let	VERB
ejpam-5753	198	5	|s|	|s|	NOUN
ejpam-5753	198	6	<	<	X
ejpam-5753	198	7	9×	9×	NUM
ejpam-5753	198	8	8k−2	8k−2	NUM
ejpam-5753	198	9	.	.	PUNCT
ejpam-5753	199	1	by	by	ADP
ejpam-5753	199	2	definition	definition	NOUN
ejpam-5753	199	3	,	,	PUNCT
ejpam-5753	199	4	there	there	PRON
ejpam-5753	199	5	are	be	VERB
ejpam-5753	199	6	8k−2	8k−2	NUM
ejpam-5753	199	7	vertex	vertex	NOUN
ejpam-5753	199	8	disjoint	disjoint	NOUN
ejpam-5753	199	9	copies	copy	NOUN
ejpam-5753	199	10	of	of	ADP
ejpam-5753	199	11	fccn3	fccn3	NOUN
ejpam-5753	199	12	in	in	ADP
ejpam-5753	199	13	fccnk+1	fccnk+1	PROPN
ejpam-5753	199	14	.	.	PUNCT
ejpam-5753	200	1	with	with	ADP
ejpam-5753	200	2	the	the	DET
ejpam-5753	200	3	removal	removal	NOUN
ejpam-5753	200	4	of	of	ADP
ejpam-5753	200	5	one	one	NUM
ejpam-5753	200	6	node	node	NOUN
ejpam-5753	200	7	from	from	ADP
ejpam-5753	200	8	s	s	PRON
ejpam-5753	200	9	in	in	ADP
ejpam-5753	200	10	a	a	DET
ejpam-5753	200	11	copy	copy	NOUN
ejpam-5753	200	12	of	of	ADP
ejpam-5753	200	13	fccn2	fccn2	PROPN
ejpam-5753	200	14	,	,	PUNCT
ejpam-5753	200	15	the	the	DET
ejpam-5753	200	16	neighbours	neighbour	NOUN
ejpam-5753	200	17	of	of	ADP
ejpam-5753	200	18	some	some	DET
ejpam-5753	200	19	u	u	NOUN
ejpam-5753	200	20	are	be	AUX
ejpam-5753	200	21	x	x	X
ejpam-5753	200	22	,	,	PUNCT
ejpam-5753	200	23	y	y	PROPN
ejpam-5753	200	24	,	,	PUNCT
ejpam-5753	200	25	z	z	PROPN
ejpam-5753	200	26	,	,	PUNCT
ejpam-5753	200	27	say	say	INTJ
ejpam-5753	200	28	,	,	PUNCT
ejpam-5753	200	29	in	in	ADP
ejpam-5753	200	30	some	some	DET
ejpam-5753	200	31	fccn1	fccn1	NOUN
ejpam-5753	200	32	,	,	PUNCT
ejpam-5753	200	33	each	each	PRON
ejpam-5753	200	34	of	of	ADP
ejpam-5753	200	35	which	which	PRON
ejpam-5753	200	36	is	be	AUX
ejpam-5753	200	37	adjacent	adjacent	ADJ
ejpam-5753	200	38	to	to	ADP
ejpam-5753	200	39	2	2	NUM
ejpam-5753	200	40	nodes	node	NOUN
ejpam-5753	200	41	of	of	ADP
ejpam-5753	200	42	the	the	DET
ejpam-5753	200	43	same	same	ADJ
ejpam-5753	200	44	fccn1	fccn1	NOUN
ejpam-5753	200	45	and	and	CCONJ
ejpam-5753	200	46	one	one	NUM
ejpam-5753	200	47	node	node	NOUN
ejpam-5753	200	48	in	in	ADP
ejpam-5753	200	49	three	three	NUM
ejpam-5753	200	50	disjoint	disjoint	ADJ
ejpam-5753	200	51	copies	copy	NOUN
ejpam-5753	200	52	of	of	ADP
ejpam-5753	200	53	fccn1	fccn1	NOUN
ejpam-5753	200	54	.	.	PUNCT
ejpam-5753	201	1	further	further	ADJ
ejpam-5753	201	2	propagation	propagation	NOUN
ejpam-5753	201	3	can	can	AUX
ejpam-5753	201	4	not	not	PART
ejpam-5753	201	5	be	be	AUX
ejpam-5753	201	6	done	do	VERB
ejpam-5753	201	7	.	.	PUNCT
ejpam-5753	202	1	a	a	DET
ejpam-5753	202	2	contradiction	contradiction	NOUN
ejpam-5753	202	3	.	.	PUNCT
ejpam-5753	203	1	thus	thus	ADV
ejpam-5753	203	2	|s|	|s|	NOUN
ejpam-5753	203	3	≥	≥	PROPN
ejpam-5753	203	4	9×	9×	NUM
ejpam-5753	203	5	8k−2	8k−2	NUM
ejpam-5753	203	6	.	.	PUNCT
ejpam-5753	204	1	therefore	therefore	ADV
ejpam-5753	204	2	,	,	PUNCT
ejpam-5753	204	3	γp,2(fccnk+1	γp,2(fccnk+1	PROPN
ejpam-5753	204	4	)	)	PUNCT
ejpam-5753	204	5	≥	≥	NOUN
ejpam-5753	204	6	9×	9×	NUM
ejpam-5753	204	7	8k−2	8k−2	NUM
ejpam-5753	204	8	.	.	PUNCT
ejpam-5753	205	1	hence	hence	ADV
ejpam-5753	205	2	the	the	DET
ejpam-5753	205	3	proof	proof	NOUN
ejpam-5753	205	4	.	.	PUNCT
ejpam-5753	206	1	the	the	DET
ejpam-5753	206	2	algorithm	algorithm	NOUN
ejpam-5753	206	3	given	give	VERB
ejpam-5753	206	4	below	below	ADP
ejpam-5753	206	5	computes	compute	VERB
ejpam-5753	206	6	the	the	DET
ejpam-5753	206	7	2	2	NUM
ejpam-5753	206	8	-	-	PUNCT
ejpam-5753	206	9	pd	pd	NOUN
ejpam-5753	206	10	for	for	ADP
ejpam-5753	206	11	fccns	fccns	NOUN
ejpam-5753	206	12	fccnr	fccnr	NOUN
ejpam-5753	206	13	.	.	PUNCT
ejpam-5753	207	1	2	2	NUM
ejpam-5753	207	2	-	-	PUNCT
ejpam-5753	207	3	pd	pd	NOUN
ejpam-5753	207	4	algorithm	algorithm	NOUN
ejpam-5753	207	5	:	:	PUNCT
ejpam-5753	207	6	j.	j.	PROPN
ejpam-5753	207	7	anitha	anitha	PROPN
ejpam-5753	207	8	et	et	PROPN
ejpam-5753	207	9	al	al	PROPN
ejpam-5753	207	10	.	.	PUNCT
ejpam-5753	207	11	/	/	SYM
ejpam-5753	207	12	eur	eur	PROPN
ejpam-5753	207	13	.	.	PUNCT
ejpam-5753	208	1	j.	j.	PROPN
ejpam-5753	208	2	pure	pure	PROPN
ejpam-5753	208	3	appl	appl	PROPN
ejpam-5753	208	4	.	.	PROPN
ejpam-5753	208	5	math	math	PROPN
ejpam-5753	208	6	,	,	PUNCT
ejpam-5753	208	7	18	18	NUM
ejpam-5753	208	8	(	(	PUNCT
ejpam-5753	208	9	1	1	NUM
ejpam-5753	208	10	)	)	PUNCT
ejpam-5753	208	11	(	(	PUNCT
ejpam-5753	208	12	2025	2025	NUM
ejpam-5753	208	13	)	)	PUNCT
ejpam-5753	208	14	,	,	PUNCT
ejpam-5753	208	15	5753	5753	NUM
ejpam-5753	208	16	9	9	NUM
ejpam-5753	208	17	of	of	ADP
ejpam-5753	208	18	16	16	NUM
ejpam-5753	208	19	input	input	NOUN
ejpam-5753	208	20	:	:	PUNCT
ejpam-5753	208	21	fccn	fccn	PROPN
ejpam-5753	208	22	fccnr	fccnr	NOUN
ejpam-5753	208	23	,	,	PUNCT
ejpam-5753	208	24	r	r	NOUN
ejpam-5753	208	25	≥	≥	NOUN
ejpam-5753	208	26	3	3	NUM
ejpam-5753	208	27	,	,	PUNCT
ejpam-5753	208	28	with	with	ADP
ejpam-5753	208	29	radix	radix	NOUN
ejpam-5753	208	30	-	-	PUNCT
ejpam-5753	208	31	lexicographic	lexicographic	ADJ
ejpam-5753	208	32	ordering	ordering	NOUN
ejpam-5753	208	33	.	.	PUNCT
ejpam-5753	209	1	algorithm	algorithm	NOUN
ejpam-5753	209	2	:	:	PUNCT
ejpam-5753	209	3	(	(	PUNCT
ejpam-5753	209	4	i	i	NOUN
ejpam-5753	209	5	)	)	PUNCT
ejpam-5753	209	6	select	select	ADJ
ejpam-5753	209	7	s3	s3	PROPN
ejpam-5753	209	8	=	=	SYM
ejpam-5753	209	9	{	{	PUNCT
ejpam-5753	209	10	001	001	NUM
ejpam-5753	209	11	,	,	PUNCT
ejpam-5753	209	12	013	013	NUM
ejpam-5753	209	13	}	}	PUNCT
ejpam-5753	209	14	∪	∪	VERB
ejpam-5753	209	15	7⋃	7⋃	NUM
ejpam-5753	209	16	t=1	t=1	SYM
ejpam-5753	209	17	t10	t10	NOUN
ejpam-5753	209	18	in	in	ADP
ejpam-5753	209	19	fccn3	fccn3	PROPN
ejpam-5753	209	20	.	.	PUNCT
ejpam-5753	210	1	(	(	PUNCT
ejpam-5753	210	2	ii	ii	NOUN
ejpam-5753	210	3	)	)	PUNCT
ejpam-5753	210	4	let	let	VERB
ejpam-5753	210	5	s4	s4	PROPN
ejpam-5753	210	6	=	=	SYM
ejpam-5753	210	7	7⋃	7⋃	NUM
ejpam-5753	210	8	t=0	t=0	X
ejpam-5753	210	9	ts3	ts3	PROPN
ejpam-5753	210	10	in	in	ADP
ejpam-5753	210	11	fccn4	fccn4	PROPN
ejpam-5753	210	12	.	.	PUNCT
ejpam-5753	211	1	(	(	PUNCT
ejpam-5753	211	2	iii	iii	NOUN
ejpam-5753	211	3	)	)	PUNCT
ejpam-5753	211	4	inductively	inductively	ADV
ejpam-5753	211	5	select	select	VERB
ejpam-5753	211	6	sr	sr	PROPN
ejpam-5753	211	7	=	=	SYM
ejpam-5753	211	8	7⋃	7⋃	NUM
ejpam-5753	211	9	t=0	t=0	X
ejpam-5753	211	10	tsr−1	tsr−1	PROPN
ejpam-5753	211	11	in	in	ADP
ejpam-5753	211	12	fccnr	fccnr	NOUN
ejpam-5753	211	13	.	.	PUNCT
ejpam-5753	212	1	000	000	NUM
ejpam-5753	212	2	001	001	NUM
ejpam-5753	212	3	002	002	NUM
ejpam-5753	212	4	003	003	NUM
ejpam-5753	212	5	004	004	NUM
ejpam-5753	212	6	005	005	NUM
ejpam-5753	212	7	006	006	NUM
ejpam-5753	212	8	007	007	NUM
ejpam-5753	212	9	010	010	NUM
ejpam-5753	212	10	011	011	NUM
ejpam-5753	212	11	012	012	NUM
ejpam-5753	212	12	013	013	NUM
ejpam-5753	212	13	014	014	NUM
ejpam-5753	212	14	016	016	NUM
ejpam-5753	212	15	017	017	NUM
ejpam-5753	212	16	020	020	NUM
ejpam-5753	212	17	021	021	NUM
ejpam-5753	212	18	022	022	NUM
ejpam-5753	212	19	023	023	NUM
ejpam-5753	212	20	024	024	NUM
ejpam-5753	212	21	025	025	NUM
ejpam-5753	212	22	026	026	NUM
ejpam-5753	212	23	027	027	NUM
ejpam-5753	212	24	030	030	NUM
ejpam-5753	212	25	031	031	NUM
ejpam-5753	212	26	032	032	NUM
ejpam-5753	212	27	033	033	NUM
ejpam-5753	212	28	034	034	NUM
ejpam-5753	212	29	035	035	NUM
ejpam-5753	212	30	036	036	NUM
ejpam-5753	212	31	037	037	NUM
ejpam-5753	212	32	040	040	NUM
ejpam-5753	212	33	041	041	NUM
ejpam-5753	212	34	042	042	NUM
ejpam-5753	212	35	043	043	NUM
ejpam-5753	212	36	044	044	NUM
ejpam-5753	212	37	045	045	NUM
ejpam-5753	212	38	046	046	NUM
ejpam-5753	212	39	047	047	NUM
ejpam-5753	212	40	050	050	NUM
ejpam-5753	212	41	051	051	NUM
ejpam-5753	212	42	052	052	NUM
ejpam-5753	213	1	053	053	NUM
ejpam-5753	213	2	054	054	NUM
ejpam-5753	213	3	055	055	NUM
ejpam-5753	213	4	056	056	NUM
ejpam-5753	213	5	057	057	NUM
ejpam-5753	213	6	060	060	NUM
ejpam-5753	214	1	061	061	NUM
ejpam-5753	215	1	062	062	NUM
ejpam-5753	216	1	063	063	NUM
ejpam-5753	216	2	064	064	NUM
ejpam-5753	216	3	065	065	NUM
ejpam-5753	216	4	066	066	NUM
ejpam-5753	216	5	067	067	NUM
ejpam-5753	216	6	070	070	NUM
ejpam-5753	216	7	071	071	NUM
ejpam-5753	216	8	072	072	NUM
ejpam-5753	216	9	073	073	NUM
ejpam-5753	216	10	074	074	NUM
ejpam-5753	216	11	075	075	NUM
ejpam-5753	216	12	076	076	NUM
ejpam-5753	216	13	077	077	NUM
ejpam-5753	216	14	015	015	NUM
ejpam-5753	216	15	monitored	monitor	VERB
ejpam-5753	216	16	vertices	vertex	NOUN
ejpam-5753	216	17	of	of	ADP
ejpam-5753	216	18	unmonitored	unmonitored	ADJ
ejpam-5753	216	19	vertices	vertex	NOUN
ejpam-5753	216	20	00	00	NUM
ejpam-5753	216	21	01	01	NUM
ejpam-5753	216	22	02	02	NUM
ejpam-5753	216	23	03	03	NUM
ejpam-5753	216	24	0	0	NUM
ejpam-5753	216	25	4	4	NUM
ejpam-5753	216	26	05	05	NUM
ejpam-5753	216	27	06	06	NUM
ejpam-5753	216	28	07	07	NUM
ejpam-5753	216	29	10	10	NUM
ejpam-5753	216	30	11	11	NUM
ejpam-5753	216	31	12	12	NUM
ejpam-5753	216	32	13	13	NUM
ejpam-5753	216	33	14	14	NUM
ejpam-5753	216	34	15	15	NUM
ejpam-5753	216	35	16	16	NUM
ejpam-5753	216	36	17	17	NUM
ejpam-5753	216	37	20	20	NUM
ejpam-5753	216	38	21	21	NUM
ejpam-5753	216	39	22	22	NUM
ejpam-5753	216	40	2	2	NUM
ejpam-5753	216	41	3	3	NUM
ejpam-5753	216	42	24	24	NUM
ejpam-5753	216	43	25	25	NUM
ejpam-5753	216	44	26	26	NUM
ejpam-5753	216	45	27	27	NUM
ejpam-5753	216	46	30	30	NUM
ejpam-5753	216	47	31	31	NUM
ejpam-5753	216	48	32	32	NUM
ejpam-5753	216	49	33	33	NUM
ejpam-5753	216	50	34	34	NUM
ejpam-5753	216	51	35	35	NUM
ejpam-5753	216	52	36	36	NUM
ejpam-5753	216	53	37	37	NUM
ejpam-5753	216	54	40	40	NUM
ejpam-5753	216	55	41	41	NUM
ejpam-5753	216	56	42	42	NUM
ejpam-5753	216	57	4	4	NUM
ejpam-5753	216	58	3	3	NUM
ejpam-5753	216	59	44	44	NUM
ejpam-5753	216	60	45	45	NUM
ejpam-5753	216	61	46	46	NUM
ejpam-5753	216	62	47	47	NUM
ejpam-5753	216	63	50	50	NUM
ejpam-5753	216	64	51	51	NUM
ejpam-5753	216	65	52	52	NUM
ejpam-5753	216	66	5	5	NUM
ejpam-5753	216	67	3	3	NUM
ejpam-5753	216	68	54	54	NUM
ejpam-5753	216	69	55	55	NUM
ejpam-5753	216	70	56	56	NUM
ejpam-5753	216	71	57	57	NUM
ejpam-5753	216	72	60	60	NUM
ejpam-5753	216	73	61	61	NUM
ejpam-5753	216	74	62	62	NUM
ejpam-5753	216	75	63	63	NUM
ejpam-5753	216	76	64	64	NUM
ejpam-5753	216	77	65	65	NUM
ejpam-5753	216	78	66	66	NUM
ejpam-5753	216	79	67	67	NUM
ejpam-5753	216	80	70	70	NUM
ejpam-5753	216	81	71	71	NUM
ejpam-5753	216	82	72	72	NUM
ejpam-5753	216	83	73	73	NUM
ejpam-5753	216	84	74	74	NUM
ejpam-5753	216	85	75	75	NUM
ejpam-5753	216	86	76	76	NUM
ejpam-5753	216	87	77	77	NUM
ejpam-5753	217	1	x	x	SYM
ejpam-5753	217	2	y	y	PROPN
ejpam-5753	217	3	z	z	PROPN
ejpam-5753	217	4	boundary	boundary	ADJ
ejpam-5753	217	5	vertex	vertex	NOUN
ejpam-5753	217	6	intercubic	intercubic	NOUN
ejpam-5753	217	7	vertex	vertex	NOUN
ejpam-5753	217	8	(	(	PUNCT
ejpam-5753	217	9	a	a	NOUN
ejpam-5753	217	10	)	)	PUNCT
ejpam-5753	217	11	(	(	PUNCT
ejpam-5753	217	12	b	b	X
ejpam-5753	217	13	)	)	PUNCT
ejpam-5753	217	14	figure	figure	NOUN
ejpam-5753	217	15	4	4	NUM
ejpam-5753	217	16	:	:	PUNCT
ejpam-5753	217	17	0n−2fccn2	0n−2fccn2	NUM
ejpam-5753	217	18	of	of	ADP
ejpam-5753	217	19	fccnr	fccnr	NOUN
ejpam-5753	217	20	output	output	NOUN
ejpam-5753	217	21	:	:	PUNCT
ejpam-5753	217	22	γp,2(fccnr	γp,2(fccnr	NUM
ejpam-5753	217	23	)	)	PUNCT
ejpam-5753	217	24	=	=	SYM
ejpam-5753	218	1	9×	9×	NUM
ejpam-5753	218	2	8r−3	8r−3	NOUN
ejpam-5753	218	3	proof	proof	NOUN
ejpam-5753	218	4	of	of	ADP
ejpam-5753	218	5	correctness	correctness	NOUN
ejpam-5753	218	6	:	:	PUNCT
ejpam-5753	218	7	let	let	VERB
ejpam-5753	218	8	sr	sr	PROPN
ejpam-5753	218	9	be	be	AUX
ejpam-5753	218	10	a	a	DET
ejpam-5753	218	11	2	2	NUM
ejpam-5753	218	12	-	-	PUNCT
ejpam-5753	218	13	pd	pd	NOUN
ejpam-5753	218	14	set	set	NOUN
ejpam-5753	218	15	of	of	ADP
ejpam-5753	218	16	fccnr	fccnr	NOUN
ejpam-5753	218	17	with	with	ADP
ejpam-5753	218	18	|sr|	|sr|	PROPN
ejpam-5753	218	19	=	=	SYM
ejpam-5753	218	20	9×8r−3	9×8r−3	PROPN
ejpam-5753	218	21	.	.	PUNCT
ejpam-5753	219	1	let	let	VERB
ejpam-5753	219	2	s3	s3	PROPN
ejpam-5753	219	3	be	be	AUX
ejpam-5753	219	4	a	a	DET
ejpam-5753	219	5	2	2	NUM
ejpam-5753	219	6	-	-	PUNCT
ejpam-5753	219	7	pd	pd	NOUN
ejpam-5753	219	8	set	set	NOUN
ejpam-5753	219	9	of	of	ADP
ejpam-5753	219	10	fccn3	fccn3	PROPN
ejpam-5753	219	11	.	.	PUNCT
ejpam-5753	220	1	then	then	ADV
ejpam-5753	220	2	m0(s3	m0(s3	NOUN
ejpam-5753	220	3	)	)	PUNCT
ejpam-5753	220	4	=	=	SYM
ejpam-5753	221	1	n	n	PROPN
ejpam-5753	221	2	[	[	X
ejpam-5753	221	3	s3	s3	X
ejpam-5753	221	4	]	]	X
ejpam-5753	221	5	=	=	SYM
ejpam-5753	221	6	7⋃	7⋃	NUM
ejpam-5753	221	7	t=0	t=0	X
ejpam-5753	221	8	{	{	PUNCT
ejpam-5753	221	9	000	000	PROPN
ejpam-5753	221	10	,	,	PUNCT
ejpam-5753	221	11	005	005	NUM
ejpam-5753	221	12	,	,	PUNCT
ejpam-5753	221	13	003	003	NUM
ejpam-5753	221	14	,	,	PUNCT
ejpam-5753	221	15	010	010	NUM
ejpam-5753	221	16	,	,	PUNCT
ejpam-5753	221	17	013	013	NUM
ejpam-5753	221	18	,	,	PUNCT
ejpam-5753	221	19	031	031	NUM
ejpam-5753	221	20	,	,	PUNCT
ejpam-5753	221	21	011	011	NUM
ejpam-5753	221	22	,	,	PUNCT
ejpam-5753	221	23	017}∪	017}∪	NUM
ejpam-5753	221	24	7⋃	7⋃	NUM
ejpam-5753	221	25	t=1	t=1	ADV
ejpam-5753	221	26	{	{	PUNCT
ejpam-5753	221	27	101	101	NUM
ejpam-5753	221	28	,	,	PUNCT
ejpam-5753	221	29	110	110	NUM
ejpam-5753	221	30	,	,	PUNCT
ejpam-5753	221	31	111	111	NUM
ejpam-5753	221	32	,	,	PUNCT
ejpam-5753	221	33	114	114	NUM
ejpam-5753	221	34	,	,	PUNCT
ejpam-5753	221	35	112	112	NUM
ejpam-5753	221	36	}	}	PUNCT
ejpam-5753	221	37	.	.	PUNCT
ejpam-5753	222	1	then	then	ADV
ejpam-5753	222	2	m0(s4	m0(s4	NOUN
ejpam-5753	222	3	)	)	PUNCT
ejpam-5753	222	4	=	=	SYM
ejpam-5753	222	5	n	n	PROPN
ejpam-5753	223	1	[	[	X
ejpam-5753	223	2	s4	s4	X
ejpam-5753	223	3	]	]	X
ejpam-5753	223	4	=	=	SYM
ejpam-5753	223	5	7⋃	7⋃	NUM
ejpam-5753	223	6	t=0	t=0	X
ejpam-5753	223	7	tm0(s3	tm0(s3	NOUN
ejpam-5753	223	8	)	)	PUNCT
ejpam-5753	223	9	.	.	PUNCT
ejpam-5753	224	1	proceeding	proceed	VERB
ejpam-5753	224	2	inductively	inductively	ADV
ejpam-5753	224	3	,	,	PUNCT
ejpam-5753	224	4	m0(sr	m0(sr	NUM
ejpam-5753	224	5	)	)	PUNCT
ejpam-5753	224	6	=	=	SYM
ejpam-5753	225	1	n	n	PROPN
ejpam-5753	225	2	[	[	X
ejpam-5753	225	3	sr	sr	X
ejpam-5753	225	4	]	]	X
ejpam-5753	225	5	=	=	SYM
ejpam-5753	225	6	7⋃	7⋃	NUM
ejpam-5753	225	7	t=0	t=0	X
ejpam-5753	225	8	tm0(sr−1	tm0(sr−1	PROPN
ejpam-5753	225	9	)	)	PUNCT
ejpam-5753	225	10	then	then	ADV
ejpam-5753	225	11	nodes	nod	VERB
ejpam-5753	225	12	inm0(sr	inm0(sr	ADJ
ejpam-5753	225	13	)	)	PUNCT
ejpam-5753	225	14	say	say	VERB
ejpam-5753	225	15	,	,	PUNCT
ejpam-5753	226	1	7⋃	7⋃	NUM
ejpam-5753	226	2	t=0	t=0	ADJ
ejpam-5753	226	3	tr−2s	tr−2s	PROPN
ejpam-5753	227	1	′′	′′	PROPN
ejpam-5753	227	2	where	where	SCONJ
ejpam-5753	227	3	s	s	VERB
ejpam-5753	227	4	′′	′′	PROPN
ejpam-5753	227	5	=	=	PUNCT
ejpam-5753	227	6	{	{	PUNCT
ejpam-5753	227	7	00	00	NUM
ejpam-5753	227	8	,	,	PUNCT
ejpam-5753	227	9	02	02	NUM
ejpam-5753	227	10	,	,	PUNCT
ejpam-5753	227	11	03	03	NUM
ejpam-5753	227	12	,	,	PUNCT
ejpam-5753	227	13	10	10	NUM
ejpam-5753	227	14	,	,	PUNCT
ejpam-5753	227	15	11	11	NUM
ejpam-5753	227	16	,	,	PUNCT
ejpam-5753	227	17	12	12	NUM
ejpam-5753	227	18	,	,	PUNCT
ejpam-5753	227	19	21	21	NUM
ejpam-5753	227	20	,	,	PUNCT
ejpam-5753	227	21	22	22	NUM
ejpam-5753	227	22	,	,	PUNCT
ejpam-5753	227	23	23	23	NUM
ejpam-5753	227	24	,	,	PUNCT
ejpam-5753	227	25	30	30	NUM
ejpam-5753	227	26	,	,	PUNCT
ejpam-5753	227	27	31	31	NUM
ejpam-5753	227	28	,	,	PUNCT
ejpam-5753	227	29	33	33	NUM
ejpam-5753	227	30	}	}	PUNCT
ejpam-5753	227	31	is	be	AUX
ejpam-5753	227	32	adjacent	adjacent	ADJ
ejpam-5753	227	33	to	to	ADP
ejpam-5753	227	34	exactly	exactly	ADV
ejpam-5753	227	35	two	two	NUM
ejpam-5753	227	36	unmonitored	unmonitored	ADJ
ejpam-5753	227	37	vertices	vertex	NOUN
ejpam-5753	227	38	say	say	VERB
ejpam-5753	227	39	,	,	PUNCT
ejpam-5753	228	1	7⋃	7⋃	NUM
ejpam-5753	228	2	t=0	t=0	X
ejpam-5753	228	3	tr−2s	tr−2s	PROPN
ejpam-5753	228	4	′′′	′′′	INTJ
ejpam-5753	228	5	where	where	SCONJ
ejpam-5753	228	6	s	s	AUX
ejpam-5753	228	7	′′′	′′′	PROPN
ejpam-5753	228	8	=	=	PUNCT
ejpam-5753	228	9	{	{	PUNCT
ejpam-5753	228	10	04	04	NUM
ejpam-5753	228	11	,	,	PUNCT
ejpam-5753	228	12	06	06	NUM
ejpam-5753	228	13	,	,	PUNCT
ejpam-5753	228	14	07	07	NUM
ejpam-5753	228	15	,	,	PUNCT
ejpam-5753	228	16	14	14	NUM
ejpam-5753	228	17	,	,	PUNCT
ejpam-5753	228	18	15	15	NUM
ejpam-5753	228	19	,	,	PUNCT
ejpam-5753	228	20	16	16	NUM
ejpam-5753	228	21	,	,	PUNCT
ejpam-5753	228	22	25	25	NUM
ejpam-5753	228	23	,	,	PUNCT
ejpam-5753	228	24	26	26	NUM
ejpam-5753	228	25	,	,	PUNCT
ejpam-5753	228	26	27	27	NUM
ejpam-5753	228	27	,	,	PUNCT
ejpam-5753	228	28	34	34	NUM
ejpam-5753	228	29	,	,	PUNCT
ejpam-5753	228	30	35	35	NUM
ejpam-5753	228	31	,	,	PUNCT
ejpam-5753	228	32	37	37	NUM
ejpam-5753	228	33	}	}	PUNCT
ejpam-5753	228	34	.	.	PUNCT
ejpam-5753	229	1	now	now	ADV
ejpam-5753	229	2	m1(sr	m1(sr	NOUN
ejpam-5753	229	3	)	)	PUNCT
ejpam-5753	229	4	=	=	SYM
ejpam-5753	229	5	m0(sr)∪	m0(sr)∪	NOUN
ejpam-5753	229	6	7⋃	7⋃	NUM
ejpam-5753	229	7	t=0	t=0	PROPN
ejpam-5753	229	8	tn−2s	tn−2s	PROPN
ejpam-5753	229	9	′′′	′′′	INTJ
ejpam-5753	229	10	.	.	PUNCT
ejpam-5753	230	1	then	then	ADV
ejpam-5753	230	2	for	for	ADP
ejpam-5753	230	3	every	every	DET
ejpam-5753	230	4	vertex	vertex	NOUN
ejpam-5753	230	5	v	v	ADP
ejpam-5753	230	6	∈m1(sr	∈m1(sr	NOUN
ejpam-5753	230	7	)	)	PUNCT
ejpam-5753	230	8	,	,	PUNCT
ejpam-5753	230	9	|n	|n	X
ejpam-5753	231	1	[	[	X
ejpam-5753	231	2	v]\m1(sr)|	v]\m1(sr)|	NOUN
ejpam-5753	231	3	=	=	SYM
ejpam-5753	231	4	2	2	X
ejpam-5753	231	5	.	.	PUNCT
ejpam-5753	231	6	rnow	rnow	NOUN
ejpam-5753	231	7	m2(sn	m2(sn	PROPN
ejpam-5753	231	8	)	)	PUNCT
ejpam-5753	231	9	=	=	SYM
ejpam-5753	231	10	m1(sn	m1(sn	PROPN
ejpam-5753	231	11	)	)	PUNCT
ejpam-5753	231	12	∪	∪	VERB
ejpam-5753	231	13	7⋃	7⋃	NUM
ejpam-5753	231	14	t=0	t=0	X
ejpam-5753	231	15	tn−2ij	tn−2ij	ADJ
ejpam-5753	231	16	,	,	PUNCT
ejpam-5753	231	17	4	4	NUM
ejpam-5753	231	18	≤	≤	NUM
ejpam-5753	231	19	i	i	PRON
ejpam-5753	231	20	≤	≤	ADV
ejpam-5753	231	21	7	7	NUM
ejpam-5753	231	22	,	,	PUNCT
ejpam-5753	231	23	0	0	NUM
ejpam-5753	231	24	≤	≤	NUM
ejpam-5753	231	25	j	j	PROPN
ejpam-5753	231	26	≤	≤	ADV
ejpam-5753	231	27	3	3	NUM
ejpam-5753	231	28	.	.	PUNCT
ejpam-5753	231	29	similarly	similarly	ADV
ejpam-5753	231	30	in	in	ADP
ejpam-5753	231	31	the	the	DET
ejpam-5753	231	32	next	next	ADJ
ejpam-5753	231	33	step	step	NOUN
ejpam-5753	231	34	,	,	PUNCT
ejpam-5753	231	35	m3(sr	m3(sr	NUM
ejpam-5753	231	36	)	)	PUNCT
ejpam-5753	231	37	=	=	SYM
ejpam-5753	231	38	m2(sr	m2(sr	NUM
ejpam-5753	231	39	)	)	PUNCT
ejpam-5753	231	40	∪	∪	VERB
ejpam-5753	231	41	7⋃	7⋃	NUM
ejpam-5753	231	42	t=0	t=0	PROPN
ejpam-5753	231	43	tr−2ij	tr−2ij	NOUN
ejpam-5753	231	44	,	,	PUNCT
ejpam-5753	231	45	4	4	NUM
ejpam-5753	231	46	≤	≤	NOUN
ejpam-5753	231	47	i	i	PRON
ejpam-5753	231	48	,	,	PUNCT
ejpam-5753	231	49	j	j	PROPN
ejpam-5753	231	50	≤	≤	ADV
ejpam-5753	231	51	7	7	NUM
ejpam-5753	231	52	.	.	PUNCT
ejpam-5753	232	1	proceeding	proceed	VERB
ejpam-5753	232	2	inductively	inductively	ADV
ejpam-5753	232	3	,	,	PUNCT
ejpam-5753	232	4	m3(sr	m3(sr	NUM
ejpam-5753	232	5	)	)	PUNCT
ejpam-5753	232	6	=	=	SYM
ejpam-5753	232	7	v	v	X
ejpam-5753	232	8	(	(	PUNCT
ejpam-5753	232	9	fccnr	fccnr	NOUN
ejpam-5753	232	10	)	)	PUNCT
ejpam-5753	232	11	.	.	PUNCT
ejpam-5753	233	1	hence	hence	ADV
ejpam-5753	233	2	the	the	DET
ejpam-5753	233	3	proof	proof	NOUN
ejpam-5753	233	4	.	.	PUNCT
ejpam-5753	234	1	therefore	therefore	ADV
ejpam-5753	234	2	,	,	PUNCT
ejpam-5753	234	3	γp,2(fccnr	γp,2(fccnr	NOUN
ejpam-5753	234	4	)	)	PUNCT
ejpam-5753	234	5	≤	≤	NOUN
ejpam-5753	234	6	9×	9×	NUM
ejpam-5753	234	7	8r−3	8r−3	NUM
ejpam-5753	234	8	.	.	PUNCT
ejpam-5753	235	1	j.	j.	PROPN
ejpam-5753	235	2	anitha	anitha	PROPN
ejpam-5753	235	3	et	et	PROPN
ejpam-5753	235	4	al	al	PROPN
ejpam-5753	235	5	.	.	PUNCT
ejpam-5753	235	6	/	/	SYM
ejpam-5753	235	7	eur	eur	PROPN
ejpam-5753	235	8	.	.	PUNCT
ejpam-5753	236	1	j.	j.	PROPN
ejpam-5753	236	2	pure	pure	PROPN
ejpam-5753	236	3	appl	appl	PROPN
ejpam-5753	236	4	.	.	PROPN
ejpam-5753	236	5	math	math	PROPN
ejpam-5753	236	6	,	,	PUNCT
ejpam-5753	236	7	18	18	NUM
ejpam-5753	236	8	(	(	PUNCT
ejpam-5753	236	9	1	1	NUM
ejpam-5753	236	10	)	)	PUNCT
ejpam-5753	236	11	(	(	PUNCT
ejpam-5753	236	12	2025	2025	NUM
ejpam-5753	236	13	)	)	PUNCT
ejpam-5753	236	14	,	,	PUNCT
ejpam-5753	236	15	5753	5753	NUM
ejpam-5753	236	16	10	10	NUM
ejpam-5753	236	17	of	of	ADP
ejpam-5753	236	18	16	16	NUM
ejpam-5753	236	19	the	the	DET
ejpam-5753	236	20	following	following	ADJ
ejpam-5753	236	21	result	result	NOUN
ejpam-5753	236	22	is	be	AUX
ejpam-5753	236	23	a	a	DET
ejpam-5753	236	24	consequence	consequence	NOUN
ejpam-5753	236	25	of	of	ADP
ejpam-5753	236	26	lemma	lemma	PROPN
ejpam-5753	236	27	6	6	NUM
ejpam-5753	236	28	and	and	CCONJ
ejpam-5753	236	29	by	by	ADP
ejpam-5753	236	30	2	2	NUM
ejpam-5753	236	31	-	-	PUNCT
ejpam-5753	236	32	pd	pd	NOUN
ejpam-5753	236	33	algorithm	algorithm	NOUN
ejpam-5753	236	34	.	.	PUNCT
ejpam-5753	237	1	theorem	theorem	VERB
ejpam-5753	237	2	7	7	NUM
ejpam-5753	237	3	.	.	X
ejpam-5753	237	4	for	for	ADP
ejpam-5753	237	5	fccns	fccns	PROPN
ejpam-5753	237	6	fccnr	fccnr	NOUN
ejpam-5753	237	7	,	,	PUNCT
ejpam-5753	237	8	r	r	NOUN
ejpam-5753	237	9	≥	≥	NOUN
ejpam-5753	237	10	3	3	NUM
ejpam-5753	237	11	,	,	PUNCT
ejpam-5753	237	12	we	we	PRON
ejpam-5753	237	13	have	have	VERB
ejpam-5753	237	14	γp,2(fccnr	γp,2(fccnr	NUM
ejpam-5753	237	15	)	)	PUNCT
ejpam-5753	238	1	=	=	SYM
ejpam-5753	238	2	9×	9×	NUM
ejpam-5753	238	3	8r−3	8r−3	NUM
ejpam-5753	238	4	.	.	PUNCT
ejpam-5753	239	1	in	in	ADP
ejpam-5753	239	2	2012	2012	NUM
ejpam-5753	239	3	,	,	PUNCT
ejpam-5753	239	4	chang	chang	PROPN
ejpam-5753	239	5	et	et	PROPN
ejpam-5753	239	6	al	al	PROPN
ejpam-5753	239	7	.	.	PUNCT
ejpam-5753	240	1	[	[	X
ejpam-5753	240	2	5	5	NUM
ejpam-5753	240	3	]	]	PUNCT
ejpam-5753	240	4	obtained	obtain	VERB
ejpam-5753	240	5	the	the	DET
ejpam-5753	240	6	following	following	ADJ
ejpam-5753	240	7	results	result	NOUN
ejpam-5753	240	8	for	for	ADP
ejpam-5753	240	9	a	a	DET
ejpam-5753	240	10	connected	connect	VERB
ejpam-5753	240	11	graph	graph	NOUN
ejpam-5753	240	12	g.	g.	NOUN
ejpam-5753	240	13	theorem	theorem	VERB
ejpam-5753	240	14	8	8	NUM
ejpam-5753	240	15	.	.	PUNCT
ejpam-5753	241	1	if	if	SCONJ
ejpam-5753	241	2	g	g	PROPN
ejpam-5753	241	3	is	be	AUX
ejpam-5753	241	4	connected	connect	VERB
ejpam-5753	241	5	and	and	CCONJ
ejpam-5753	241	6	∆(g	∆(g	NOUN
ejpam-5753	241	7	)	)	PUNCT
ejpam-5753	241	8	≤	≤	PUNCT
ejpam-5753	242	1	k	k	NOUN
ejpam-5753	243	1	+	+	CCONJ
ejpam-5753	243	2	1	1	NUM
ejpam-5753	243	3	,	,	PUNCT
ejpam-5753	243	4	then	then	ADV
ejpam-5753	243	5	γp	γp	PROPN
ejpam-5753	243	6	,	,	PUNCT
ejpam-5753	243	7	k(g	k(g	PROPN
ejpam-5753	243	8	)	)	PUNCT
ejpam-5753	243	9	=	=	SYM
ejpam-5753	244	1	1	1	X
ejpam-5753	244	2	.	.	PUNCT
ejpam-5753	244	3	the	the	DET
ejpam-5753	244	4	following	following	ADJ
ejpam-5753	244	5	result	result	NOUN
ejpam-5753	244	6	is	be	AUX
ejpam-5753	244	7	a	a	DET
ejpam-5753	244	8	consequence	consequence	NOUN
ejpam-5753	244	9	of	of	ADP
ejpam-5753	244	10	theorem	theorem	ADJ
ejpam-5753	244	11	8	8	NUM
ejpam-5753	244	12	theorem	theorem	NOUN
ejpam-5753	244	13	9	9	NUM
ejpam-5753	244	14	.	.	PUNCT
ejpam-5753	244	15	for	for	ADP
ejpam-5753	244	16	fccns	fccns	PROPN
ejpam-5753	244	17	fccnr	fccnr	NOUN
ejpam-5753	244	18	,	,	PUNCT
ejpam-5753	244	19	r	r	NOUN
ejpam-5753	244	20	≥	≥	NOUN
ejpam-5753	244	21	3	3	NUM
ejpam-5753	244	22	,	,	PUNCT
ejpam-5753	244	23	we	we	PRON
ejpam-5753	244	24	have	have	AUX
ejpam-5753	244	25	γp	γp	PROPN
ejpam-5753	244	26	,	,	PUNCT
ejpam-5753	244	27	k(fccnr	k(fccnr	NOUN
ejpam-5753	244	28	)	)	PUNCT
ejpam-5753	244	29	=	=	SYM
ejpam-5753	245	1	1	1	NUM
ejpam-5753	245	2	,	,	PUNCT
ejpam-5753	245	3	k≥	k≥	PROPN
ejpam-5753	245	4	4	4	NUM
ejpam-5753	245	5	.	.	NOUN
ejpam-5753	245	6	5	5	NUM
ejpam-5753	245	7	.	.	X
ejpam-5753	246	1	k	k	ADJ
ejpam-5753	246	2	-	-	PUNCT
ejpam-5753	246	3	pd	pd	PROPN
ejpam-5753	246	4	algorithm	algorithm	PROPN
ejpam-5753	246	5	algorithm	algorithm	PROPN
ejpam-5753	246	6	pds($g(v	pds($g(v	PROPN
ejpam-5753	246	7	,	,	PUNCT
ejpam-5753	246	8	e),k	e),k	X
ejpam-5753	246	9	)	)	PUNCT
ejpam-5753	246	10	{	{	PUNCT
ejpam-5753	246	11	min	min	PROPN
ejpam-5753	246	12	set←	set←	PROPN
ejpam-5753	246	13	v	v	PROPN
ejpam-5753	246	14	(	(	PUNCT
ejpam-5753	246	15	g	g	NOUN
ejpam-5753	246	16	)	)	PUNCT
ejpam-5753	246	17	min	min	NOUN
ejpam-5753	246	18	set	set	VERB
ejpam-5753	246	19	size←∞	size←∞	DET
ejpam-5753	246	20	vertices←	vertices←	PROPN
ejpam-5753	246	21	list	list	NOUN
ejpam-5753	246	22	of	of	ADP
ejpam-5753	246	23	all	all	DET
ejpam-5753	246	24	vertices	vertex	NOUN
ejpam-5753	246	25	in	in	ADP
ejpam-5753	246	26	g	g	NOUN
ejpam-5753	246	27	for	for	ADP
ejpam-5753	246	28	size	size	NOUN
ejpam-5753	246	29	:	:	PUNCT
ejpam-5753	246	30	=	=	NOUN
ejpam-5753	246	31	1	1	NUM
ejpam-5753	246	32	to	to	ADP
ejpam-5753	246	33	|vertices|	|vertices|	NUM
ejpam-5753	246	34	{	{	PUNCT
ejpam-5753	246	35	for	for	ADP
ejpam-5753	246	36	each	each	DET
ejpam-5753	246	37	subset	subset	NOUN
ejpam-5753	246	38	s	s	VERB
ejpam-5753	246	39	⊆	⊆	NUM
ejpam-5753	246	40	vertices	vertex	NOUN
ejpam-5753	246	41	with	with	ADP
ejpam-5753	246	42	|s|	|s|	NOUN
ejpam-5753	246	43	=	=	NOUN
ejpam-5753	246	44	size	size	NOUN
ejpam-5753	246	45	{	{	PUNCT
ejpam-5753	246	46	monitored←	monitored←	PROPN
ejpam-5753	246	47	s	s	NOUN
ejpam-5753	246	48	∪	∪	X
ejpam-5753	246	49	(	(	PUNCT
ejpam-5753	246	50	⋃	⋃	ADJ
ejpam-5753	246	51	v∈s	v∈s	ADJ
ejpam-5753	246	52	n(v	n(v	PROPN
ejpam-5753	246	53	)	)	PUNCT
ejpam-5753	246	54	)	)	PUNCT
ejpam-5753	247	1	new	new	ADJ
ejpam-5753	247	2	monitored←	monitored←	PROPN
ejpam-5753	247	3	monitored	monitor	VERB
ejpam-5753	247	4	while	while	SCONJ
ejpam-5753	247	5	true	true	ADJ
ejpam-5753	247	6	{	{	PUNCT
ejpam-5753	247	7	to	to	PART
ejpam-5753	247	8	add←	add←	ADJ
ejpam-5753	247	9	∅	∅	NOUN
ejpam-5753	247	10	for	for	ADP
ejpam-5753	247	11	each	each	DET
ejpam-5753	247	12	vertex	vertex	NOUN
ejpam-5753	247	13	v	v	ADP
ejpam-5753	247	14	∈	∈	PROPN
ejpam-5753	247	15	monitored	monitor	VERB
ejpam-5753	247	16	{	{	PUNCT
ejpam-5753	247	17	neighbors←	neighbors←	PROPN
ejpam-5753	247	18	n(v	n(v	PROPN
ejpam-5753	247	19	)	)	PUNCT
ejpam-5753	247	20	unmonitored	unmonitore	VERB
ejpam-5753	247	21	neighbors←	neighbors←	ADJ
ejpam-5753	247	22	neighbors	neighbor	NOUN
ejpam-5753	247	23	\monitored	\monitore	VERB
ejpam-5753	247	24	if	if	SCONJ
ejpam-5753	247	25	|unmonitored	|unmonitore	VERB
ejpam-5753	247	26	neighbors|	neighbors|	PROPN
ejpam-5753	247	27	≤	≤	PUNCT
ejpam-5753	247	28	k	k	PROPN
ejpam-5753	247	29	{	{	PUNCT
ejpam-5753	247	30	to	to	PART
ejpam-5753	247	31	add←	add←	VERB
ejpam-5753	247	32	to	to	ADP
ejpam-5753	247	33	add∪unmonitored	add∪unmonitore	VERB
ejpam-5753	247	34	neighbors	neighbor	NOUN
ejpam-5753	247	35	}	}	PUNCT
ejpam-5753	247	36	}	}	PUNCT
ejpam-5753	247	37	if	if	SCONJ
ejpam-5753	247	38	to	to	PART
ejpam-5753	247	39	add	add	VERB
ejpam-5753	247	40	=	=	NOUN
ejpam-5753	247	41	∅	∅	NOUN
ejpam-5753	247	42	{	{	PUNCT
ejpam-5753	247	43	break	break	VERB
ejpam-5753	247	44	}	}	PUNCT
ejpam-5753	247	45	new	new	ADJ
ejpam-5753	247	46	monitored←	monitored←	PROPN
ejpam-5753	247	47	new	new	ADJ
ejpam-5753	247	48	monitored	monitor	VERB
ejpam-5753	247	49	∪	∪	ADV
ejpam-5753	247	50	to	to	PART
ejpam-5753	247	51	add	add	VERB
ejpam-5753	247	52	monitored←	monitored←	PROPN
ejpam-5753	247	53	new	new	ADJ
ejpam-5753	247	54	monitored	monitor	VERB
ejpam-5753	247	55	}	}	PUNCT
ejpam-5753	247	56	if	if	SCONJ
ejpam-5753	247	57	|monitored|	|monitored|	PROPN
ejpam-5753	247	58	=	=	X
ejpam-5753	247	59	|v	|v	X
ejpam-5753	247	60	(	(	PUNCT
ejpam-5753	247	61	g)|	g)|	X
ejpam-5753	247	62	{	{	PUNCT
ejpam-5753	247	63	if	if	SCONJ
ejpam-5753	247	64	|s|	|s|	NOUN
ejpam-5753	247	65	<	<	X
ejpam-5753	247	66	min	min	NOUN
ejpam-5753	247	67	set	set	VERB
ejpam-5753	247	68	size	size	NOUN
ejpam-5753	247	69	{	{	PUNCT
ejpam-5753	248	1	min	min	PROPN
ejpam-5753	248	2	set←	set←	PROPN
ejpam-5753	248	3	s	s	PART
ejpam-5753	248	4	min	min	NOUN
ejpam-5753	248	5	set	set	VERB
ejpam-5753	248	6	size←	size←	PROPN
ejpam-5753	248	7	|s|	|s|	PRON
ejpam-5753	248	8	}	}	PUNCT
ejpam-5753	248	9	}	}	PUNCT
ejpam-5753	248	10	}	}	PUNCT
ejpam-5753	248	11	}	}	PUNCT
ejpam-5753	248	12	return	return	VERB
ejpam-5753	248	13	min	min	NOUN
ejpam-5753	248	14	set	set	NOUN
ejpam-5753	248	15	}	}	PUNCT
ejpam-5753	248	16	=	=	SYM
ejpam-5753	248	17	0	0	PROPN
ejpam-5753	248	18	j.	j.	PROPN
ejpam-5753	248	19	anitha	anitha	PROPN
ejpam-5753	248	20	et	et	PROPN
ejpam-5753	248	21	al	al	PROPN
ejpam-5753	248	22	.	.	PUNCT
ejpam-5753	248	23	/	/	SYM
ejpam-5753	248	24	eur	eur	PROPN
ejpam-5753	248	25	.	.	PUNCT
ejpam-5753	249	1	j.	j.	PROPN
ejpam-5753	249	2	pure	pure	PROPN
ejpam-5753	249	3	appl	appl	PROPN
ejpam-5753	249	4	.	.	PROPN
ejpam-5753	249	5	math	math	PROPN
ejpam-5753	249	6	,	,	PUNCT
ejpam-5753	249	7	18	18	NUM
ejpam-5753	249	8	(	(	PUNCT
ejpam-5753	249	9	1	1	NUM
ejpam-5753	249	10	)	)	PUNCT
ejpam-5753	249	11	(	(	PUNCT
ejpam-5753	249	12	2025	2025	NUM
ejpam-5753	249	13	)	)	PUNCT
ejpam-5753	249	14	,	,	PUNCT
ejpam-5753	249	15	5753	5753	NUM
ejpam-5753	249	16	11	11	NUM
ejpam-5753	249	17	of	of	ADP
ejpam-5753	249	18	16	16	NUM
ejpam-5753	249	19	(	(	PUNCT
ejpam-5753	249	20	a	a	NOUN
ejpam-5753	249	21	)	)	PUNCT
ejpam-5753	249	22	comb	comb	NOUN
ejpam-5753	249	23	graph	graph	NOUN
ejpam-5753	249	24	p+	p+	AUX
ejpam-5753	249	25	6	6	NUM
ejpam-5753	249	26	(	(	PUNCT
ejpam-5753	249	27	b	b	NOUN
ejpam-5753	249	28	)	)	PUNCT
ejpam-5753	249	29	binary	binary	ADJ
ejpam-5753	249	30	tree	tree	NOUN
ejpam-5753	249	31	t3	t3	PROPN
ejpam-5753	249	32	(	(	PUNCT
ejpam-5753	249	33	c	c	NOUN
ejpam-5753	249	34	)	)	PUNCT
ejpam-5753	249	35	sibling	sible	VERB
ejpam-5753	249	36	tree	tree	NOUN
ejpam-5753	249	37	st	st	NOUN
ejpam-5753	249	38	1	1	NUM
ejpam-5753	249	39	3	3	NUM
ejpam-5753	249	40	figure	figure	NOUN
ejpam-5753	249	41	6	6	NUM
ejpam-5753	249	42	:	:	PUNCT
ejpam-5753	249	43	power	power	NOUN
ejpam-5753	249	44	dominating	dominating	NOUN
ejpam-5753	249	45	set	set	VERB
ejpam-5753	249	46	in	in	ADP
ejpam-5753	249	47	comb	comb	NOUN
ejpam-5753	249	48	graph	graph	NOUN
ejpam-5753	249	49	,	,	PUNCT
ejpam-5753	249	50	binary	binary	ADJ
ejpam-5753	249	51	tree	tree	NOUN
ejpam-5753	249	52	and	and	CCONJ
ejpam-5753	249	53	sibling	sible	VERB
ejpam-5753	249	54	tree	tree	NOUN
ejpam-5753	249	55	using	use	VERB
ejpam-5753	249	56	power	power	NOUN
ejpam-5753	249	57	domination	domination	NOUN
ejpam-5753	249	58	algorithm	algorithm	NOUN
ejpam-5753	249	59	(	(	PUNCT
ejpam-5753	249	60	a	a	DET
ejpam-5753	249	61	)	)	PUNCT
ejpam-5753	249	62	path	path	NOUN
ejpam-5753	249	63	graph	graph	NOUN
ejpam-5753	249	64	p16	p16	PROPN
ejpam-5753	249	65	(	(	PUNCT
ejpam-5753	249	66	b	b	NOUN
ejpam-5753	249	67	)	)	PUNCT
ejpam-5753	249	68	cycle	cycle	NOUN
ejpam-5753	249	69	graph	graph	NOUN
ejpam-5753	249	70	c16	c16	PROPN
ejpam-5753	249	71	(	(	PUNCT
ejpam-5753	249	72	c	c	NOUN
ejpam-5753	249	73	)	)	PUNCT
ejpam-5753	249	74	complete	complete	ADJ
ejpam-5753	249	75	graph	graph	NOUN
ejpam-5753	249	76	k16	k16	PROPN
ejpam-5753	249	77	(	(	PUNCT
ejpam-5753	249	78	d	d	NOUN
ejpam-5753	249	79	)	)	PUNCT
ejpam-5753	249	80	star	star	NOUN
ejpam-5753	249	81	graph	graph	NOUN
ejpam-5753	249	82	k1,15	k1,15	PROPN
ejpam-5753	249	83	(	(	PUNCT
ejpam-5753	249	84	e	e	NOUN
ejpam-5753	249	85	)	)	PUNCT
ejpam-5753	249	86	fan	fan	NOUN
ejpam-5753	249	87	graph	graph	NOUN
ejpam-5753	249	88	f5	f5	PROPN
ejpam-5753	249	89	(	(	PUNCT
ejpam-5753	249	90	f	f	X
ejpam-5753	249	91	)	)	PUNCT
ejpam-5753	249	92	ladder	ladder	NOUN
ejpam-5753	249	93	graph	graph	NOUN
ejpam-5753	249	94	l6	l6	ADJ
ejpam-5753	249	95	figure	figure	NOUN
ejpam-5753	249	96	5	5	NUM
ejpam-5753	249	97	:	:	PUNCT
ejpam-5753	249	98	k	k	ADJ
ejpam-5753	249	99	-	-	PUNCT
ejpam-5753	249	100	power	power	NOUN
ejpam-5753	249	101	dominating	dominating	NOUN
ejpam-5753	249	102	set	set	VERB
ejpam-5753	249	103	in	in	ADP
ejpam-5753	249	104	different	different	ADJ
ejpam-5753	249	105	types	type	NOUN
ejpam-5753	249	106	of	of	ADP
ejpam-5753	249	107	graph	graph	NOUN
ejpam-5753	249	108	networks	network	NOUN
ejpam-5753	249	109	using	use	VERB
ejpam-5753	249	110	k	k	ADJ
ejpam-5753	249	111	-	-	PUNCT
ejpam-5753	249	112	power	power	NOUN
ejpam-5753	249	113	domination	domination	NOUN
ejpam-5753	249	114	algorithm	algorithm	NOUN
ejpam-5753	249	115	the	the	DET
ejpam-5753	249	116	pds	pds	NOUN
ejpam-5753	249	117	algorithm	algorithm	NOUN
ejpam-5753	249	118	identifies	identify	VERB
ejpam-5753	249	119	the	the	DET
ejpam-5753	249	120	k	k	ADJ
ejpam-5753	249	121	-	-	PUNCT
ejpam-5753	249	122	power	power	NOUN
ejpam-5753	249	123	domination	domination	NOUN
ejpam-5753	249	124	set	set	NOUN
ejpam-5753	249	125	,	,	PUNCT
ejpam-5753	249	126	depicted	depict	VERB
ejpam-5753	249	127	by	by	ADP
ejpam-5753	249	128	red	red	ADJ
ejpam-5753	249	129	vertices	vertex	NOUN
ejpam-5753	249	130	in	in	ADP
ejpam-5753	249	131	the	the	DET
ejpam-5753	249	132	pictures	picture	NOUN
ejpam-5753	249	133	above	above	ADV
ejpam-5753	249	134	,	,	PUNCT
ejpam-5753	249	135	as	as	ADP
ejpam-5753	249	136	the	the	DET
ejpam-5753	249	137	smallest	small	ADJ
ejpam-5753	249	138	subset	subset	NOUN
ejpam-5753	249	139	of	of	ADP
ejpam-5753	249	140	nodes	node	NOUN
ejpam-5753	249	141	required	require	VERB
ejpam-5753	249	142	for	for	ADP
ejpam-5753	249	143	full	full	ADJ
ejpam-5753	249	144	network	network	NOUN
ejpam-5753	249	145	observability	observability	NOUN
ejpam-5753	249	146	.	.	PUNCT
ejpam-5753	250	1	the	the	DET
ejpam-5753	250	2	k	k	ADJ
ejpam-5753	250	3	-	-	PUNCT
ejpam-5753	250	4	power	power	NOUN
ejpam-5753	250	5	domination	domination	NOUN
ejpam-5753	250	6	set	set	NOUN
ejpam-5753	250	7	is	be	AUX
ejpam-5753	250	8	deliberately	deliberately	ADV
ejpam-5753	250	9	placed	place	VERB
ejpam-5753	250	10	in	in	ADP
ejpam-5753	250	11	each	each	DET
ejpam-5753	250	12	graph	graph	NOUN
ejpam-5753	250	13	to	to	PART
ejpam-5753	250	14	provide	provide	VERB
ejpam-5753	250	15	optimal	optimal	ADJ
ejpam-5753	250	16	coverage	coverage	NOUN
ejpam-5753	250	17	,	,	PUNCT
ejpam-5753	250	18	whether	whether	SCONJ
ejpam-5753	250	19	along	along	ADP
ejpam-5753	250	20	linear	linear	ADJ
ejpam-5753	250	21	lines	line	NOUN
ejpam-5753	250	22	,	,	PUNCT
ejpam-5753	250	23	across	across	ADP
ejpam-5753	250	24	cyclic	cyclic	ADJ
ejpam-5753	250	25	structures	structure	NOUN
ejpam-5753	250	26	,	,	PUNCT
ejpam-5753	250	27	at	at	ADP
ejpam-5753	250	28	central	central	ADJ
ejpam-5753	250	29	hubs	hub	NOUN
ejpam-5753	250	30	and	and	CCONJ
ejpam-5753	250	31	outlying	outlying	ADJ
ejpam-5753	250	32	nodes	node	NOUN
ejpam-5753	250	33	,	,	PUNCT
ejpam-5753	250	34	or	or	CCONJ
ejpam-5753	250	35	scattered	scatter	VERB
ejpam-5753	250	36	across	across	ADP
ejpam-5753	250	37	multiple	multiple	ADJ
ejpam-5753	250	38	layers	layer	NOUN
ejpam-5753	250	39	,	,	PUNCT
ejpam-5753	250	40	improving	improve	VERB
ejpam-5753	250	41	power	power	NOUN
ejpam-5753	250	42	system	system	NOUN
ejpam-5753	250	43	reliability	reliability	NOUN
ejpam-5753	250	44	and	and	CCONJ
ejpam-5753	250	45	j.	j.	PROPN
ejpam-5753	250	46	anitha	anitha	PROPN
ejpam-5753	250	47	et	et	PROPN
ejpam-5753	250	48	al	al	PROPN
ejpam-5753	250	49	.	.	PUNCT
ejpam-5753	250	50	/	/	SYM
ejpam-5753	250	51	eur	eur	PROPN
ejpam-5753	250	52	.	.	PUNCT
ejpam-5753	251	1	j.	j.	PROPN
ejpam-5753	251	2	pure	pure	PROPN
ejpam-5753	251	3	appl	appl	PROPN
ejpam-5753	251	4	.	.	PROPN
ejpam-5753	251	5	math	math	PROPN
ejpam-5753	251	6	,	,	PUNCT
ejpam-5753	251	7	18	18	NUM
ejpam-5753	251	8	(	(	PUNCT
ejpam-5753	251	9	1	1	NUM
ejpam-5753	251	10	)	)	PUNCT
ejpam-5753	251	11	(	(	PUNCT
ejpam-5753	251	12	2025	2025	NUM
ejpam-5753	251	13	)	)	PUNCT
ejpam-5753	251	14	,	,	PUNCT
ejpam-5753	251	15	5753	5753	NUM
ejpam-5753	251	16	12	12	NUM
ejpam-5753	251	17	of	of	ADP
ejpam-5753	251	18	16	16	NUM
ejpam-5753	251	19	(	(	PUNCT
ejpam-5753	251	20	a	a	NOUN
ejpam-5753	251	21	)	)	PUNCT
ejpam-5753	251	22	comb	comb	NOUN
ejpam-5753	251	23	graph	graph	NOUN
ejpam-5753	251	24	p+	p+	VERB
ejpam-5753	251	25	6	6	NUM
ejpam-5753	251	26	(	(	PUNCT
ejpam-5753	251	27	b	b	NOUN
ejpam-5753	251	28	)	)	PUNCT
ejpam-5753	251	29	binary	binary	ADJ
ejpam-5753	251	30	tree	tree	NOUN
ejpam-5753	251	31	t3	t3	PROPN
ejpam-5753	251	32	(	(	PUNCT
ejpam-5753	251	33	c	c	NOUN
ejpam-5753	251	34	)	)	PUNCT
ejpam-5753	251	35	sibling	sible	VERB
ejpam-5753	251	36	tree	tree	NOUN
ejpam-5753	251	37	st	st	NOUN
ejpam-5753	251	38	1	1	NUM
ejpam-5753	251	39	3	3	NUM
ejpam-5753	251	40	figure	figure	NOUN
ejpam-5753	251	41	7	7	NUM
ejpam-5753	251	42	:	:	SYM
ejpam-5753	251	43	2	2	NUM
ejpam-5753	251	44	-	-	PUNCT
ejpam-5753	251	45	power	power	NOUN
ejpam-5753	251	46	dominating	dominating	NOUN
ejpam-5753	251	47	set	set	VERB
ejpam-5753	251	48	in	in	ADP
ejpam-5753	251	49	comb	comb	NOUN
ejpam-5753	251	50	graph	graph	NOUN
ejpam-5753	251	51	,	,	PUNCT
ejpam-5753	251	52	binary	binary	ADJ
ejpam-5753	251	53	tree	tree	NOUN
ejpam-5753	251	54	and	and	CCONJ
ejpam-5753	251	55	sibling	sible	VERB
ejpam-5753	251	56	tree	tree	NOUN
ejpam-5753	251	57	using	use	VERB
ejpam-5753	251	58	2	2	NUM
ejpam-5753	251	59	-	-	PUNCT
ejpam-5753	251	60	power	power	NOUN
ejpam-5753	251	61	domination	domination	NOUN
ejpam-5753	251	62	algorithm	algorithm	NOUN
ejpam-5753	251	63	stability	stability	NOUN
ejpam-5753	251	64	.	.	PUNCT
ejpam-5753	252	1	for	for	ADP
ejpam-5753	252	2	binary	binary	ADJ
ejpam-5753	252	3	,	,	PUNCT
ejpam-5753	252	4	sibling	sibling	NOUN
ejpam-5753	252	5	,	,	PUNCT
ejpam-5753	252	6	and	and	CCONJ
ejpam-5753	252	7	comb	comb	NOUN
ejpam-5753	252	8	graphs	graph	NOUN
ejpam-5753	252	9	,	,	PUNCT
ejpam-5753	252	10	the	the	DET
ejpam-5753	252	11	power	power	NOUN
ejpam-5753	252	12	domination	domination	NOUN
ejpam-5753	252	13	algorithm	algorithm	NOUN
ejpam-5753	252	14	differs	differ	VERB
ejpam-5753	252	15	significantly	significantly	ADV
ejpam-5753	252	16	from	from	ADP
ejpam-5753	252	17	the	the	DET
ejpam-5753	252	18	2	2	NUM
ejpam-5753	252	19	-	-	PUNCT
ejpam-5753	252	20	power	power	NOUN
ejpam-5753	252	21	domination	domination	NOUN
ejpam-5753	252	22	algorithm	algorithm	NOUN
ejpam-5753	252	23	,	,	PUNCT
ejpam-5753	252	24	which	which	PRON
ejpam-5753	252	25	adds	add	VERB
ejpam-5753	252	26	redundancy	redundancy	NOUN
ejpam-5753	252	27	.	.	PUNCT
ejpam-5753	253	1	however	however	ADV
ejpam-5753	253	2	,	,	PUNCT
ejpam-5753	253	3	for	for	ADP
ejpam-5753	253	4	other	other	ADJ
ejpam-5753	253	5	graphs	graph	NOUN
ejpam-5753	253	6	,	,	PUNCT
ejpam-5753	253	7	both	both	CCONJ
ejpam-5753	253	8	k=1	k=1	X
ejpam-5753	253	9	and	and	CCONJ
ejpam-5753	253	10	k=2	k=2	PROPN
ejpam-5753	253	11	yield	yield	VERB
ejpam-5753	253	12	the	the	DET
ejpam-5753	253	13	same	same	ADJ
ejpam-5753	253	14	result	result	NOUN
ejpam-5753	253	15	,	,	PUNCT
ejpam-5753	253	16	demonstrating	demonstrate	VERB
ejpam-5753	253	17	that	that	SCONJ
ejpam-5753	253	18	the	the	DET
ejpam-5753	253	19	smallest	small	ADJ
ejpam-5753	253	20	subset	subset	NOUN
ejpam-5753	253	21	is	be	AUX
ejpam-5753	253	22	sufficient	sufficient	ADJ
ejpam-5753	253	23	for	for	ADP
ejpam-5753	253	24	comprehensive	comprehensive	ADJ
ejpam-5753	253	25	coverage	coverage	NOUN
ejpam-5753	253	26	.	.	PUNCT
ejpam-5753	254	1	table	table	NOUN
ejpam-5753	254	2	1	1	NUM
ejpam-5753	254	3	shows	show	VERB
ejpam-5753	254	4	the	the	DET
ejpam-5753	254	5	execution	execution	NOUN
ejpam-5753	254	6	time	time	NOUN
ejpam-5753	254	7	to	to	PART
ejpam-5753	254	8	compute	compute	VERB
ejpam-5753	254	9	the	the	DET
ejpam-5753	254	10	k	k	NOUN
ejpam-5753	254	11	-	-	NOUN
ejpam-5753	254	12	pds	pds	NOUN
ejpam-5753	254	13	for	for	ADP
ejpam-5753	254	14	various	various	ADJ
ejpam-5753	254	15	types	type	NOUN
ejpam-5753	254	16	of	of	ADP
ejpam-5753	254	17	graphs	graph	NOUN
ejpam-5753	254	18	with	with	ADP
ejpam-5753	254	19	16	16	NUM
ejpam-5753	254	20	nodes	node	NOUN
ejpam-5753	254	21	type	type	NOUN
ejpam-5753	254	22	of	of	ADP
ejpam-5753	254	23	graph	graph	NOUN
ejpam-5753	254	24	execution	execution	NOUN
ejpam-5753	254	25	time	time	NOUN
ejpam-5753	254	26	k=1	k=1	PROPN
ejpam-5753	254	27	k=2	k=2	PROPN
ejpam-5753	254	28	path	path	PROPN
ejpam-5753	254	29	pn	pn	PROPN
ejpam-5753	254	30	1.018	1.018	NUM
ejpam-5753	254	31	1.020	1.020	NUM
ejpam-5753	254	32	cycle	cycle	NOUN
ejpam-5753	254	33	cn	cn	NOUN
ejpam-5753	254	34	0.980	0.980	NUM
ejpam-5753	254	35	0.945	0.945	NUM
ejpam-5753	254	36	ladder	ladder	NOUN
ejpam-5753	254	37	ln	ln	ADP
ejpam-5753	254	38	0.866	0.866	NUM
ejpam-5753	254	39	0.929	0.929	NUM
ejpam-5753	254	40	complete	complete	ADJ
ejpam-5753	254	41	graph	graph	NOUN
ejpam-5753	254	42	kn	kn	PROPN
ejpam-5753	254	43	0.971	0.971	NUM
ejpam-5753	254	44	0.950	0.950	NUM
ejpam-5753	254	45	star	star	NOUN
ejpam-5753	254	46	graph	graph	NOUN
ejpam-5753	254	47	k1,n	k1,n	PROPN
ejpam-5753	254	48	1.010	1.010	NUM
ejpam-5753	254	49	1.085	1.085	NUM
ejpam-5753	254	50	fan	fan	NOUN
ejpam-5753	254	51	graph	graph	NOUN
ejpam-5753	254	52	fn	fn	VERB
ejpam-5753	254	53	0.131	0.131	NUM
ejpam-5753	254	54	0.129	0.129	NUM
ejpam-5753	254	55	comb	comb	NOUN
ejpam-5753	254	56	graph	graph	NOUN
ejpam-5753	254	57	p+	p+	NOUN
ejpam-5753	254	58	n	n	ADV
ejpam-5753	254	59	0.415	0.415	NUM
ejpam-5753	254	60	0.447	0.447	NUM
ejpam-5753	254	61	binary	binary	ADJ
ejpam-5753	254	62	tree	tree	NOUN
ejpam-5753	254	63	tn	tn	PROPN
ejpam-5753	254	64	1.85	1.85	NUM
ejpam-5753	254	65	2.12	2.12	NUM
ejpam-5753	254	66	sibling	sible	VERB
ejpam-5753	254	67	tree	tree	NOUN
ejpam-5753	254	68	st	st	NOUN
ejpam-5753	254	69	1	1	NUM
ejpam-5753	254	70	n	n	ADP
ejpam-5753	254	71	0.477	0.477	NUM
ejpam-5753	254	72	0.379	0.379	NUM
ejpam-5753	254	73	table	table	NOUN
ejpam-5753	254	74	1	1	NUM
ejpam-5753	254	75	:	:	PUNCT
ejpam-5753	254	76	execution	execution	NOUN
ejpam-5753	254	77	time	time	NOUN
ejpam-5753	254	78	to	to	PART
ejpam-5753	254	79	compute	compute	VERB
ejpam-5753	254	80	the	the	DET
ejpam-5753	254	81	k	k	ADJ
ejpam-5753	254	82	-	-	PUNCT
ejpam-5753	254	83	power	power	NOUN
ejpam-5753	254	84	dominating	dominating	NOUN
ejpam-5753	254	85	set	set	VERB
ejpam-5753	254	86	for	for	ADP
ejpam-5753	254	87	graphs	graph	NOUN
ejpam-5753	254	88	with	with	ADP
ejpam-5753	254	89	16	16	NUM
ejpam-5753	254	90	nodes	node	NOUN
ejpam-5753	254	91	5.1	5.1	NUM
ejpam-5753	254	92	.	.	PUNCT
ejpam-5753	255	1	optimal	optimal	ADJ
ejpam-5753	255	2	pmu	pmu	NOUN
ejpam-5753	255	3	placement	placement	NOUN
ejpam-5753	255	4	(	(	PUNCT
ejpam-5753	255	5	opp	opp	INTJ
ejpam-5753	255	6	)	)	PUNCT
ejpam-5753	255	7	the	the	DET
ejpam-5753	255	8	proposed	proposed	ADJ
ejpam-5753	255	9	k	k	ADJ
ejpam-5753	255	10	-	-	PUNCT
ejpam-5753	255	11	power	power	NOUN
ejpam-5753	255	12	domination	domination	NOUN
ejpam-5753	255	13	algorithm	algorithm	NOUN
ejpam-5753	255	14	is	be	AUX
ejpam-5753	255	15	a	a	DET
ejpam-5753	255	16	highly	highly	ADV
ejpam-5753	255	17	efficient	efficient	ADJ
ejpam-5753	255	18	and	and	CCONJ
ejpam-5753	255	19	robust	robust	ADJ
ejpam-5753	255	20	solution	solution	NOUN
ejpam-5753	255	21	for	for	ADP
ejpam-5753	255	22	opp	opp	PROPN
ejpam-5753	255	23	in	in	ADP
ejpam-5753	255	24	electrical	electrical	ADJ
ejpam-5753	255	25	grid	grid	NOUN
ejpam-5753	255	26	systems	system	NOUN
ejpam-5753	255	27	.	.	PUNCT
ejpam-5753	256	1	it	it	PRON
ejpam-5753	256	2	ensures	ensure	VERB
ejpam-5753	256	3	comprehensive	comprehensive	ADJ
ejpam-5753	256	4	network	network	NOUN
ejpam-5753	256	5	observability	observability	NOUN
ejpam-5753	256	6	by	by	ADP
ejpam-5753	256	7	identifying	identify	VERB
ejpam-5753	256	8	a	a	DET
ejpam-5753	256	9	minimal	minimal	ADJ
ejpam-5753	256	10	subset	subset	NOUN
ejpam-5753	256	11	of	of	ADP
ejpam-5753	256	12	nodes	node	NOUN
ejpam-5753	256	13	where	where	SCONJ
ejpam-5753	256	14	pmus	pmus	NOUN
ejpam-5753	256	15	should	should	AUX
ejpam-5753	256	16	be	be	AUX
ejpam-5753	256	17	placed	place	VERB
ejpam-5753	256	18	,	,	PUNCT
ejpam-5753	256	19	thereby	thereby	ADV
ejpam-5753	256	20	guaranteeing	guarantee	VERB
ejpam-5753	256	21	that	that	SCONJ
ejpam-5753	256	22	each	each	DET
ejpam-5753	256	23	node	node	NOUN
ejpam-5753	256	24	in	in	ADP
ejpam-5753	256	25	the	the	DET
ejpam-5753	256	26	grid	grid	NOUN
ejpam-5753	256	27	is	be	AUX
ejpam-5753	256	28	monitored	monitor	VERB
ejpam-5753	256	29	either	either	CCONJ
ejpam-5753	256	30	directly	directly	ADV
ejpam-5753	256	31	or	or	CCONJ
ejpam-5753	256	32	indirectly	indirectly	ADV
ejpam-5753	256	33	.	.	PUNCT
ejpam-5753	257	1	this	this	DET
ejpam-5753	257	2	approach	approach	NOUN
ejpam-5753	257	3	not	not	PART
ejpam-5753	257	4	only	only	ADV
ejpam-5753	257	5	minimizes	minimize	VERB
ejpam-5753	257	6	the	the	DET
ejpam-5753	257	7	number	number	NOUN
ejpam-5753	257	8	of	of	ADP
ejpam-5753	257	9	pmus	pmus	NOUN
ejpam-5753	257	10	required	require	VERB
ejpam-5753	257	11	but	but	CCONJ
ejpam-5753	257	12	also	also	ADV
ejpam-5753	257	13	maximizes	maximize	VERB
ejpam-5753	257	14	coverage	coverage	NOUN
ejpam-5753	257	15	,	,	PUNCT
ejpam-5753	257	16	enhancing	enhance	VERB
ejpam-5753	257	17	the	the	DET
ejpam-5753	257	18	reliability	reliability	NOUN
ejpam-5753	257	19	and	and	CCONJ
ejpam-5753	257	20	stability	stability	NOUN
ejpam-5753	257	21	of	of	ADP
ejpam-5753	257	22	the	the	DET
ejpam-5753	257	23	electric	electric	ADJ
ejpam-5753	257	24	grid	grid	NOUN
ejpam-5753	257	25	.	.	PUNCT
ejpam-5753	258	1	unlike	unlike	ADP
ejpam-5753	258	2	traditional	traditional	ADJ
ejpam-5753	258	3	greedy	greedy	ADJ
ejpam-5753	258	4	algorithms	algorithm	NOUN
ejpam-5753	258	5	,	,	PUNCT
ejpam-5753	258	6	which	which	PRON
ejpam-5753	258	7	often	often	ADV
ejpam-5753	258	8	necessitate	necessitate	VERB
ejpam-5753	258	9	more	more	ADJ
ejpam-5753	258	10	pmus	pmus	NOUN
ejpam-5753	258	11	to	to	PART
ejpam-5753	258	12	achieve	achieve	VERB
ejpam-5753	258	13	full	full	ADJ
ejpam-5753	258	14	observability	observability	NOUN
ejpam-5753	258	15	and	and	CCONJ
ejpam-5753	258	16	may	may	PROPN
ejpam-5753	258	17	j.	j.	PROPN
ejpam-5753	258	18	anitha	anitha	PROPN
ejpam-5753	258	19	et	et	PROPN
ejpam-5753	258	20	al	al	PROPN
ejpam-5753	258	21	.	.	PUNCT
ejpam-5753	258	22	/	/	SYM
ejpam-5753	258	23	eur	eur	PROPN
ejpam-5753	258	24	.	.	PUNCT
ejpam-5753	259	1	j.	j.	PROPN
ejpam-5753	259	2	pure	pure	PROPN
ejpam-5753	259	3	appl	appl	PROPN
ejpam-5753	259	4	.	.	PROPN
ejpam-5753	259	5	math	math	PROPN
ejpam-5753	259	6	,	,	PUNCT
ejpam-5753	259	7	18	18	NUM
ejpam-5753	259	8	(	(	PUNCT
ejpam-5753	259	9	1	1	NUM
ejpam-5753	259	10	)	)	PUNCT
ejpam-5753	259	11	(	(	PUNCT
ejpam-5753	259	12	2025	2025	NUM
ejpam-5753	259	13	)	)	PUNCT
ejpam-5753	259	14	,	,	PUNCT
ejpam-5753	259	15	5753	5753	NUM
ejpam-5753	259	16	13	13	NUM
ejpam-5753	259	17	of	of	ADP
ejpam-5753	259	18	16	16	NUM
ejpam-5753	259	19	not	not	PART
ejpam-5753	259	20	always	always	ADV
ejpam-5753	259	21	yield	yield	VERB
ejpam-5753	259	22	minimal	minimal	ADJ
ejpam-5753	259	23	sets	set	NOUN
ejpam-5753	259	24	,	,	PUNCT
ejpam-5753	259	25	the	the	DET
ejpam-5753	259	26	k	k	ADJ
ejpam-5753	259	27	-	-	PUNCT
ejpam-5753	259	28	power	power	NOUN
ejpam-5753	259	29	domination	domination	NOUN
ejpam-5753	259	30	algorithm	algorithm	NOUN
ejpam-5753	259	31	provides	provide	VERB
ejpam-5753	259	32	a	a	DET
ejpam-5753	259	33	precise	precise	ADJ
ejpam-5753	259	34	and	and	CCONJ
ejpam-5753	259	35	minimal	minimal	ADJ
ejpam-5753	259	36	solution	solution	NOUN
ejpam-5753	259	37	.	.	PUNCT
ejpam-5753	260	1	compared	compare	VERB
ejpam-5753	260	2	to	to	ADP
ejpam-5753	260	3	integer	integer	PROPN
ejpam-5753	260	4	linear	linear	PROPN
ejpam-5753	260	5	programming	programming	NOUN
ejpam-5753	260	6	(	(	PUNCT
ejpam-5753	260	7	ilp	ilp	NOUN
ejpam-5753	260	8	)	)	PUNCT
ejpam-5753	260	9	methods	method	NOUN
ejpam-5753	260	10	,	,	PUNCT
ejpam-5753	260	11	which	which	PRON
ejpam-5753	260	12	can	can	AUX
ejpam-5753	260	13	be	be	AUX
ejpam-5753	260	14	computationally	computationally	ADV
ejpam-5753	260	15	intensive	intensive	ADJ
ejpam-5753	260	16	and	and	CCONJ
ejpam-5753	260	17	impractical	impractical	ADJ
ejpam-5753	260	18	for	for	ADP
ejpam-5753	260	19	large	large	ADJ
ejpam-5753	260	20	-	-	PUNCT
ejpam-5753	260	21	scale	scale	NOUN
ejpam-5753	260	22	networks	network	NOUN
ejpam-5753	260	23	,	,	PUNCT
ejpam-5753	260	24	this	this	DET
ejpam-5753	260	25	algorithm	algorithm	NOUN
ejpam-5753	260	26	is	be	AUX
ejpam-5753	260	27	computationally	computationally	ADV
ejpam-5753	260	28	efficient	efficient	ADJ
ejpam-5753	260	29	and	and	CCONJ
ejpam-5753	260	30	scalable	scalable	ADJ
ejpam-5753	260	31	,	,	PUNCT
ejpam-5753	260	32	making	make	VERB
ejpam-5753	260	33	it	it	PRON
ejpam-5753	260	34	suitable	suitable	ADJ
ejpam-5753	260	35	for	for	ADP
ejpam-5753	260	36	various	various	ADJ
ejpam-5753	260	37	grid	grid	NOUN
ejpam-5753	260	38	topologies	topology	NOUN
ejpam-5753	260	39	and	and	CCONJ
ejpam-5753	260	40	sizes	size	NOUN
ejpam-5753	260	41	.	.	PUNCT
ejpam-5753	261	1	moreover	moreover	ADV
ejpam-5753	261	2	,	,	PUNCT
ejpam-5753	261	3	the	the	DET
ejpam-5753	261	4	k	k	PROPN
ejpam-5753	261	5	-	-	PUNCT
ejpam-5753	261	6	pd	pd	PROPN
ejpam-5753	261	7	algorithm	algorithm	NOUN
ejpam-5753	261	8	incorporates	incorporate	VERB
ejpam-5753	261	9	the	the	DET
ejpam-5753	261	10	concept	concept	NOUN
ejpam-5753	261	11	of	of	ADP
ejpam-5753	261	12	k	k	NOUN
ejpam-5753	261	13	-	-	PUNCT
ejpam-5753	261	14	redundancy	redundancy	NOUN
ejpam-5753	261	15	,	,	PUNCT
ejpam-5753	261	16	ensuring	ensure	VERB
ejpam-5753	261	17	that	that	SCONJ
ejpam-5753	261	18	each	each	DET
ejpam-5753	261	19	node	node	NOUN
ejpam-5753	261	20	is	be	AUX
ejpam-5753	261	21	observed	observe	VERB
ejpam-5753	261	22	by	by	ADP
ejpam-5753	261	23	multiple	multiple	ADJ
ejpam-5753	261	24	pmus	pmus	NOUN
ejpam-5753	261	25	,	,	PUNCT
ejpam-5753	261	26	which	which	PRON
ejpam-5753	261	27	significantly	significantly	ADV
ejpam-5753	261	28	improves	improve	VERB
ejpam-5753	261	29	fault	fault	NOUN
ejpam-5753	261	30	tolerance	tolerance	NOUN
ejpam-5753	261	31	and	and	CCONJ
ejpam-5753	261	32	robustness	robustness	NOUN
ejpam-5753	261	33	against	against	ADP
ejpam-5753	261	34	failures	failure	NOUN
ejpam-5753	261	35	.	.	PUNCT
ejpam-5753	262	1	this	this	DET
ejpam-5753	262	2	redundancy	redundancy	NOUN
ejpam-5753	262	3	guarantees	guarantee	VERB
ejpam-5753	262	4	continuous	continuous	ADJ
ejpam-5753	262	5	monitoring	monitoring	NOUN
ejpam-5753	262	6	and	and	CCONJ
ejpam-5753	262	7	control	control	NOUN
ejpam-5753	262	8	even	even	ADV
ejpam-5753	262	9	in	in	ADP
ejpam-5753	262	10	the	the	DET
ejpam-5753	262	11	event	event	NOUN
ejpam-5753	262	12	of	of	ADP
ejpam-5753	262	13	pmu	pmu	NOUN
ejpam-5753	262	14	malfunctions	malfunction	NOUN
ejpam-5753	262	15	.	.	PUNCT
ejpam-5753	263	1	the	the	DET
ejpam-5753	263	2	algorithm	algorithm	NOUN
ejpam-5753	263	3	’s	’s	PART
ejpam-5753	263	4	flexibility	flexibility	NOUN
ejpam-5753	263	5	allows	allow	VERB
ejpam-5753	263	6	it	it	PRON
ejpam-5753	263	7	to	to	PART
ejpam-5753	263	8	adapt	adapt	VERB
ejpam-5753	263	9	to	to	ADP
ejpam-5753	263	10	dynamic	dynamic	ADJ
ejpam-5753	263	11	changes	change	NOUN
ejpam-5753	263	12	in	in	ADP
ejpam-5753	263	13	network	network	NOUN
ejpam-5753	263	14	topology	topology	NOUN
ejpam-5753	263	15	,	,	PUNCT
ejpam-5753	263	16	such	such	ADJ
ejpam-5753	263	17	as	as	ADP
ejpam-5753	263	18	the	the	DET
ejpam-5753	263	19	addition	addition	NOUN
ejpam-5753	263	20	or	or	CCONJ
ejpam-5753	263	21	removal	removal	NOUN
ejpam-5753	263	22	of	of	ADP
ejpam-5753	263	23	nodes	node	NOUN
ejpam-5753	263	24	,	,	PUNCT
ejpam-5753	263	25	ensuring	ensure	VERB
ejpam-5753	263	26	sustained	sustain	VERB
ejpam-5753	263	27	optimal	optimal	ADJ
ejpam-5753	263	28	performance	performance	NOUN
ejpam-5753	263	29	in	in	ADP
ejpam-5753	263	30	evolving	evolve	VERB
ejpam-5753	263	31	grid	grid	NOUN
ejpam-5753	263	32	environments	environment	NOUN
ejpam-5753	263	33	.	.	PUNCT
ejpam-5753	264	1	in	in	ADP
ejpam-5753	264	2	terms	term	NOUN
ejpam-5753	264	3	of	of	ADP
ejpam-5753	264	4	cost	cost	NOUN
ejpam-5753	264	5	efficiency	efficiency	NOUN
ejpam-5753	264	6	,	,	PUNCT
ejpam-5753	264	7	the	the	DET
ejpam-5753	264	8	k	k	PROPN
ejpam-5753	264	9	-	-	PUNCT
ejpam-5753	264	10	pd	pd	PROPN
ejpam-5753	264	11	algorithm	algorithm	NOUN
ejpam-5753	264	12	reduces	reduce	VERB
ejpam-5753	264	13	the	the	DET
ejpam-5753	264	14	overall	overall	ADJ
ejpam-5753	264	15	number	number	NOUN
ejpam-5753	264	16	of	of	ADP
ejpam-5753	264	17	pmus	pmus	NOUN
ejpam-5753	264	18	needed	need	VERB
ejpam-5753	264	19	,	,	PUNCT
ejpam-5753	264	20	thereby	thereby	ADV
ejpam-5753	264	21	lowering	lower	VERB
ejpam-5753	264	22	implementation	implementation	NOUN
ejpam-5753	264	23	and	and	CCONJ
ejpam-5753	264	24	maintenance	maintenance	NOUN
ejpam-5753	264	25	costs	cost	NOUN
ejpam-5753	264	26	.	.	PUNCT
ejpam-5753	265	1	by	by	ADP
ejpam-5753	265	2	optimizing	optimize	VERB
ejpam-5753	265	3	pmu	pmu	ADJ
ejpam-5753	265	4	placement	placement	NOUN
ejpam-5753	265	5	to	to	PART
ejpam-5753	265	6	minimize	minimize	VERB
ejpam-5753	265	7	overlap	overlap	NOUN
ejpam-5753	265	8	and	and	CCONJ
ejpam-5753	265	9	maximize	maximize	VERB
ejpam-5753	265	10	observability	observability	NOUN
ejpam-5753	265	11	,	,	PUNCT
ejpam-5753	265	12	it	it	PRON
ejpam-5753	265	13	ensures	ensure	VERB
ejpam-5753	265	14	operational	operational	ADJ
ejpam-5753	265	15	efficiency	efficiency	NOUN
ejpam-5753	265	16	and	and	CCONJ
ejpam-5753	265	17	effective	effective	ADJ
ejpam-5753	265	18	data	datum	NOUN
ejpam-5753	265	19	collection	collection	NOUN
ejpam-5753	265	20	.	.	PUNCT
ejpam-5753	266	1	its	its	PRON
ejpam-5753	266	2	proven	prove	VERB
ejpam-5753	266	3	effectiveness	effectiveness	NOUN
ejpam-5753	266	4	in	in	ADP
ejpam-5753	266	5	various	various	ADJ
ejpam-5753	266	6	studies	study	NOUN
ejpam-5753	266	7	and	and	CCONJ
ejpam-5753	266	8	real	real	ADJ
ejpam-5753	266	9	-	-	PUNCT
ejpam-5753	266	10	world	world	NOUN
ejpam-5753	266	11	applications	application	NOUN
ejpam-5753	266	12	highlights	highlight	VERB
ejpam-5753	266	13	its	its	PRON
ejpam-5753	266	14	practical	practical	ADJ
ejpam-5753	266	15	applicability	applicability	NOUN
ejpam-5753	266	16	,	,	PUNCT
ejpam-5753	266	17	making	make	VERB
ejpam-5753	266	18	it	it	PRON
ejpam-5753	266	19	a	a	DET
ejpam-5753	266	20	preferred	preferred	ADJ
ejpam-5753	266	21	choice	choice	NOUN
ejpam-5753	266	22	for	for	ADP
ejpam-5753	266	23	grid	grid	NOUN
ejpam-5753	266	24	operators	operator	NOUN
ejpam-5753	266	25	aiming	aim	VERB
ejpam-5753	266	26	to	to	PART
ejpam-5753	266	27	enhance	enhance	VERB
ejpam-5753	266	28	monitoring	monitoring	NOUN
ejpam-5753	266	29	and	and	CCONJ
ejpam-5753	266	30	control	control	NOUN
ejpam-5753	266	31	of	of	ADP
ejpam-5753	266	32	electric	electric	ADJ
ejpam-5753	266	33	grids	grid	NOUN
ejpam-5753	266	34	.	.	PUNCT
ejpam-5753	267	1	overall	overall	ADV
ejpam-5753	267	2	,	,	PUNCT
ejpam-5753	267	3	the	the	DET
ejpam-5753	267	4	k	k	ADJ
ejpam-5753	267	5	-	-	PUNCT
ejpam-5753	267	6	power	power	NOUN
ejpam-5753	267	7	domination	domination	NOUN
ejpam-5753	267	8	algorithm	algorithm	NOUN
ejpam-5753	267	9	represents	represent	VERB
ejpam-5753	267	10	a	a	DET
ejpam-5753	267	11	superior	superior	ADJ
ejpam-5753	267	12	method	method	NOUN
ejpam-5753	267	13	for	for	ADP
ejpam-5753	267	14	pmu	pmu	NOUN
ejpam-5753	267	15	placement	placement	NOUN
ejpam-5753	267	16	,	,	PUNCT
ejpam-5753	267	17	addressing	address	VERB
ejpam-5753	267	18	the	the	DET
ejpam-5753	267	19	limitations	limitation	NOUN
ejpam-5753	267	20	of	of	ADP
ejpam-5753	267	21	other	other	ADJ
ejpam-5753	267	22	approaches	approach	NOUN
ejpam-5753	267	23	and	and	CCONJ
ejpam-5753	267	24	significantly	significantly	ADV
ejpam-5753	267	25	contributing	contribute	VERB
ejpam-5753	267	26	to	to	ADP
ejpam-5753	267	27	the	the	DET
ejpam-5753	267	28	reliability	reliability	NOUN
ejpam-5753	267	29	,	,	PUNCT
ejpam-5753	267	30	stability	stability	NOUN
ejpam-5753	267	31	,	,	PUNCT
ejpam-5753	267	32	and	and	CCONJ
ejpam-5753	267	33	efficiency	efficiency	NOUN
ejpam-5753	267	34	of	of	ADP
ejpam-5753	267	35	power	power	NOUN
ejpam-5753	267	36	systems	system	NOUN
ejpam-5753	267	37	.	.	PUNCT
ejpam-5753	268	1	the	the	DET
ejpam-5753	268	2	following	follow	VERB
ejpam-5753	268	3	table	table	NOUN
ejpam-5753	268	4	ii	ii	PROPN
ejpam-5753	268	5	depicts	depict	VERB
ejpam-5753	268	6	the	the	DET
ejpam-5753	268	7	cost	cost	NOUN
ejpam-5753	268	8	of	of	ADP
ejpam-5753	268	9	placement	placement	NOUN
ejpam-5753	268	10	of	of	ADP
ejpam-5753	268	11	pmus	pmus	NOUN
ejpam-5753	268	12	in	in	ADP
ejpam-5753	268	13	electric	electric	ADJ
ejpam-5753	268	14	grid	grid	NOUN
ejpam-5753	268	15	networks	network	NOUN
ejpam-5753	268	16	by	by	ADP
ejpam-5753	268	17	implementing	implement	VERB
ejpam-5753	268	18	k	k	PROPN
ejpam-5753	268	19	-	-	PUNCT
ejpam-5753	268	20	power	power	NOUN
ejpam-5753	268	21	domination	domination	NOUN
ejpam-5753	268	22	algorithm	algorithm	NOUN
ejpam-5753	268	23	.	.	PUNCT
ejpam-5753	269	1	type	type	NOUN
ejpam-5753	269	2	of	of	ADP
ejpam-5753	269	3	network	network	NOUN
ejpam-5753	269	4	heuristic	heuristic	ADJ
ejpam-5753	269	5	methods	method	NOUN
ejpam-5753	269	6	pds	pds	VERB
ejpam-5753	269	7	algorithm	algorithm	NOUN
ejpam-5753	269	8	k	k	PROPN
ejpam-5753	270	1	=	=	SYM
ejpam-5753	270	2	1	1	NUM
ejpam-5753	270	3	k	k	NOUN
ejpam-5753	270	4	=	=	SYM
ejpam-5753	270	5	2	2	NUM
ejpam-5753	270	6	path	path	NOUN
ejpam-5753	270	7	pn	pn	PROPN
ejpam-5753	270	8	300000	300000	NUM
ejpam-5753	270	9	50000	50000	NUM
ejpam-5753	270	10	50000	50000	NUM
ejpam-5753	270	11	cycle	cycle	NOUN
ejpam-5753	270	12	cn	cn	PROPN
ejpam-5753	270	13	300000	300000	NUM
ejpam-5753	270	14	50000	50000	NUM
ejpam-5753	270	15	50000	50000	NUM
ejpam-5753	270	16	ladder	ladder	NOUN
ejpam-5753	270	17	ln	ln	NOUN
ejpam-5753	270	18	250000	250000	NUM
ejpam-5753	270	19	50000	50000	NUM
ejpam-5753	270	20	50000	50000	NUM
ejpam-5753	270	21	complete	complete	ADJ
ejpam-5753	270	22	graph	graph	NOUN
ejpam-5753	270	23	kn	kn	PROPN
ejpam-5753	270	24	50000	50000	NUM
ejpam-5753	270	25	50000	50000	NUM
ejpam-5753	270	26	50000	50000	NUM
ejpam-5753	270	27	star	star	NOUN
ejpam-5753	270	28	graph	graph	NOUN
ejpam-5753	270	29	k1,n	k1,n	PROPN
ejpam-5753	270	30	50000	50000	NUM
ejpam-5753	270	31	50000	50000	NUM
ejpam-5753	270	32	50000	50000	NUM
ejpam-5753	270	33	fan	fan	NOUN
ejpam-5753	270	34	graph	graph	NOUN
ejpam-5753	270	35	fn	fn	NOUN
ejpam-5753	270	36	50000	50000	NUM
ejpam-5753	270	37	50000	50000	NUM
ejpam-5753	270	38	50000	50000	NUM
ejpam-5753	270	39	comb	comb	NOUN
ejpam-5753	270	40	graph	graph	NOUN
ejpam-5753	270	41	p+	p+	NOUN
ejpam-5753	270	42	n	n	PROPN
ejpam-5753	270	43	300000	300000	NUM
ejpam-5753	270	44	100000	100000	NUM
ejpam-5753	270	45	50000	50000	NUM
ejpam-5753	270	46	binary	binary	NOUN
ejpam-5753	270	47	tree	tree	NOUN
ejpam-5753	270	48	tn	tn	PROPN
ejpam-5753	270	49	350000	350000	NUM
ejpam-5753	270	50	200000	200000	NUM
ejpam-5753	270	51	50000	50000	NUM
ejpam-5753	270	52	sibling	sible	VERB
ejpam-5753	270	53	tree	tree	NOUN
ejpam-5753	270	54	st	st	NOUN
ejpam-5753	270	55	1	1	NUM
ejpam-5753	270	56	n	n	NUM
ejpam-5753	270	57	250000	250000	NUM
ejpam-5753	270	58	200000	200000	NUM
ejpam-5753	270	59	50000	50000	NUM
ejpam-5753	270	60	table	table	NOUN
ejpam-5753	270	61	2	2	NUM
ejpam-5753	270	62	:	:	PUNCT
ejpam-5753	270	63	cost	cost	NOUN
ejpam-5753	270	64	of	of	ADP
ejpam-5753	270	65	placement	placement	NOUN
ejpam-5753	270	66	of	of	ADP
ejpam-5753	270	67	pmus	pmus	NOUN
ejpam-5753	270	68	using	use	VERB
ejpam-5753	270	69	various	various	ADJ
ejpam-5753	270	70	strategies(in	strategies(in	NOUN
ejpam-5753	270	71	dollars	dollar	NOUN
ejpam-5753	270	72	)	)	PUNCT
ejpam-5753	270	73	the	the	DET
ejpam-5753	270	74	table	table	NOUN
ejpam-5753	270	75	ii	ii	PROPN
ejpam-5753	270	76	shows	show	VERB
ejpam-5753	270	77	costs	cost	NOUN
ejpam-5753	270	78	associated	associate	VERB
ejpam-5753	270	79	with	with	ADP
ejpam-5753	270	80	placing	place	VERB
ejpam-5753	270	81	phasor	phasor	NOUN
ejpam-5753	270	82	measurement	measurement	NOUN
ejpam-5753	270	83	units	unit	NOUN
ejpam-5753	270	84	(	(	PUNCT
ejpam-5753	270	85	pmus	pmus	NOUN
ejpam-5753	270	86	)	)	PUNCT
ejpam-5753	270	87	using	use	VERB
ejpam-5753	270	88	heuristic	heuristic	ADJ
ejpam-5753	270	89	methods	method	NOUN
ejpam-5753	270	90	and	and	CCONJ
ejpam-5753	270	91	the	the	DET
ejpam-5753	270	92	power	power	NOUN
ejpam-5753	270	93	dominating	dominating	NOUN
ejpam-5753	270	94	set	set	NOUN
ejpam-5753	270	95	(	(	PUNCT
ejpam-5753	270	96	pds	pds	NOUN
ejpam-5753	270	97	)	)	PUNCT
ejpam-5753	270	98	algorithm	algorithm	NOUN
ejpam-5753	270	99	across	across	ADP
ejpam-5753	270	100	various	various	ADJ
ejpam-5753	270	101	network	network	NOUN
ejpam-5753	270	102	topologies	topology	NOUN
ejpam-5753	270	103	.	.	PUNCT
ejpam-5753	271	1	it	it	PRON
ejpam-5753	271	2	demonstrates	demonstrate	VERB
ejpam-5753	271	3	that	that	SCONJ
ejpam-5753	271	4	the	the	DET
ejpam-5753	271	5	pds	pds	NOUN
ejpam-5753	271	6	algorithm	algorithm	NOUN
ejpam-5753	271	7	is	be	AUX
ejpam-5753	271	8	generally	generally	ADV
ejpam-5753	271	9	more	more	ADV
ejpam-5753	271	10	costeffective	costeffective	ADJ
ejpam-5753	271	11	than	than	ADP
ejpam-5753	271	12	heuristic	heuristic	ADJ
ejpam-5753	271	13	methods	method	NOUN
ejpam-5753	271	14	.	.	PUNCT
ejpam-5753	272	1	for	for	ADP
ejpam-5753	272	2	path	path	NOUN
ejpam-5753	272	3	pn	pn	PROPN
ejpam-5753	272	4	,	,	PUNCT
ejpam-5753	272	5	cycle	cycle	NOUN
ejpam-5753	272	6	cn	cn	PROPN
ejpam-5753	272	7	,	,	PUNCT
ejpam-5753	272	8	ladder	ladder	NOUN
ejpam-5753	272	9	ln	ln	ADJ
ejpam-5753	272	10	,	,	PUNCT
ejpam-5753	272	11	and	and	CCONJ
ejpam-5753	272	12	comb	comb	NOUN
ejpam-5753	272	13	graph	graph	NOUN
ejpam-5753	272	14	p+	p+	NOUN
ejpam-5753	272	15	n	n	PRON
ejpam-5753	272	16	,	,	PUNCT
ejpam-5753	272	17	the	the	DET
ejpam-5753	272	18	heuristic	heuristic	ADJ
ejpam-5753	272	19	method	method	NOUN
ejpam-5753	272	20	costs	cost	VERB
ejpam-5753	272	21	higher	high	ADJ
ejpam-5753	272	22	compared	compare	VERB
ejpam-5753	272	23	to	to	ADP
ejpam-5753	272	24	the	the	DET
ejpam-5753	272	25	pds	pds	NOUN
ejpam-5753	272	26	algorithm	algorithm	NOUN
ejpam-5753	272	27	’s	’s	PART
ejpam-5753	272	28	$	$	SYM
ejpam-5753	272	29	50,000	50,000	NUM
ejpam-5753	272	30	.	.	PUNCT
ejpam-5753	273	1	this	this	DET
ejpam-5753	273	2	trend	trend	NOUN
ejpam-5753	273	3	is	be	AUX
ejpam-5753	273	4	similar	similar	ADJ
ejpam-5753	273	5	for	for	ADP
ejpam-5753	273	6	binary	binary	ADJ
ejpam-5753	273	7	tree	tree	NOUN
ejpam-5753	273	8	(	(	PUNCT
ejpam-5753	273	9	tn	tn	NOUN
ejpam-5753	273	10	)	)	PUNCT
ejpam-5753	273	11	and	and	CCONJ
ejpam-5753	273	12	sibling	sible	VERB
ejpam-5753	273	13	tree	tree	NOUN
ejpam-5753	273	14	(	(	PUNCT
ejpam-5753	273	15	st	st	NOUN
ejpam-5753	273	16	)	)	PUNCT
ejpam-5753	273	17	topologies	topology	NOUN
ejpam-5753	273	18	,	,	PUNCT
ejpam-5753	273	19	where	where	SCONJ
ejpam-5753	273	20	the	the	DET
ejpam-5753	273	21	heuristic	heuristic	ADJ
ejpam-5753	273	22	methods	method	NOUN
ejpam-5753	273	23	cost	cost	VERB
ejpam-5753	273	24	$	$	SYM
ejpam-5753	273	25	350,000	350,000	NUM
ejpam-5753	273	26	and	and	CCONJ
ejpam-5753	273	27	$	$	SYM
ejpam-5753	273	28	250,000	250,000	NUM
ejpam-5753	273	29	respectively	respectively	ADV
ejpam-5753	273	30	,	,	PUNCT
ejpam-5753	273	31	while	while	SCONJ
ejpam-5753	273	32	the	the	DET
ejpam-5753	273	33	pds	pds	NOUN
ejpam-5753	273	34	algorithm	algorithm	NOUN
ejpam-5753	273	35	costs	cost	VERB
ejpam-5753	273	36	j.	j.	PROPN
ejpam-5753	273	37	anitha	anitha	PROPN
ejpam-5753	273	38	et	et	PROPN
ejpam-5753	273	39	al	al	PROPN
ejpam-5753	273	40	.	.	PUNCT
ejpam-5753	273	41	/	/	SYM
ejpam-5753	273	42	eur	eur	PROPN
ejpam-5753	273	43	.	.	PUNCT
ejpam-5753	274	1	j.	j.	PROPN
ejpam-5753	274	2	pure	pure	PROPN
ejpam-5753	274	3	appl	appl	PROPN
ejpam-5753	274	4	.	.	PROPN
ejpam-5753	274	5	math	math	PROPN
ejpam-5753	274	6	,	,	PUNCT
ejpam-5753	274	7	18	18	NUM
ejpam-5753	274	8	(	(	PUNCT
ejpam-5753	274	9	1	1	NUM
ejpam-5753	274	10	)	)	PUNCT
ejpam-5753	274	11	(	(	PUNCT
ejpam-5753	274	12	2025	2025	NUM
ejpam-5753	274	13	)	)	PUNCT
ejpam-5753	274	14	,	,	PUNCT
ejpam-5753	274	15	5753	5753	NUM
ejpam-5753	274	16	14	14	NUM
ejpam-5753	274	17	of	of	ADP
ejpam-5753	274	18	16	16	NUM
ejpam-5753	274	19	$	$	SYM
ejpam-5753	274	20	200,000	200,000	NUM
ejpam-5753	274	21	.	.	PUNCT
ejpam-5753	275	1	for	for	ADP
ejpam-5753	275	2	k	k	PROPN
ejpam-5753	275	3	=	=	SYM
ejpam-5753	275	4	2	2	NUM
ejpam-5753	275	5	,	,	PUNCT
ejpam-5753	275	6	both	both	DET
ejpam-5753	275	7	methods	method	NOUN
ejpam-5753	275	8	generally	generally	ADV
ejpam-5753	275	9	show	show	VERB
ejpam-5753	275	10	similar	similar	ADJ
ejpam-5753	275	11	costs	cost	NOUN
ejpam-5753	275	12	,	,	PUNCT
ejpam-5753	275	13	around	around	ADP
ejpam-5753	275	14	$	$	SYM
ejpam-5753	275	15	50,000	50,000	NUM
ejpam-5753	275	16	,	,	PUNCT
ejpam-5753	275	17	except	except	SCONJ
ejpam-5753	275	18	for	for	ADP
ejpam-5753	275	19	binary	binary	ADJ
ejpam-5753	275	20	tree	tree	NOUN
ejpam-5753	275	21	(	(	PUNCT
ejpam-5753	275	22	tn	tn	NOUN
ejpam-5753	275	23	)	)	PUNCT
ejpam-5753	275	24	and	and	CCONJ
ejpam-5753	275	25	sibling	sible	VERB
ejpam-5753	275	26	tree	tree	NOUN
ejpam-5753	275	27	(	(	PUNCT
ejpam-5753	275	28	st	st	NOUN
ejpam-5753	275	29	)	)	PUNCT
ejpam-5753	275	30	,	,	PUNCT
ejpam-5753	275	31	where	where	SCONJ
ejpam-5753	275	32	the	the	DET
ejpam-5753	275	33	heuristic	heuristic	ADJ
ejpam-5753	275	34	methods	method	NOUN
ejpam-5753	275	35	still	still	ADV
ejpam-5753	275	36	have	have	VERB
ejpam-5753	275	37	higher	high	ADJ
ejpam-5753	275	38	costs	cost	NOUN
ejpam-5753	275	39	compared	compare	VERB
ejpam-5753	275	40	to	to	ADP
ejpam-5753	275	41	the	the	DET
ejpam-5753	275	42	pds	pds	NOUN
ejpam-5753	275	43	algorithm	algorithm	NOUN
ejpam-5753	275	44	’s	’s	PART
ejpam-5753	275	45	$	$	SYM
ejpam-5753	275	46	50,000	50,000	NUM
ejpam-5753	275	47	.	.	PUNCT
ejpam-5753	276	1	this	this	DET
ejpam-5753	276	2	analysis	analysis	NOUN
ejpam-5753	276	3	indicates	indicate	VERB
ejpam-5753	276	4	that	that	SCONJ
ejpam-5753	276	5	the	the	DET
ejpam-5753	276	6	pds	pds	NOUN
ejpam-5753	276	7	algorithm	algorithm	NOUN
ejpam-5753	276	8	effectively	effectively	ADV
ejpam-5753	276	9	reduces	reduce	VERB
ejpam-5753	276	10	the	the	DET
ejpam-5753	276	11	cost	cost	NOUN
ejpam-5753	276	12	of	of	ADP
ejpam-5753	276	13	pmu	pmu	ADJ
ejpam-5753	276	14	placement	placement	NOUN
ejpam-5753	276	15	,	,	PUNCT
ejpam-5753	276	16	especially	especially	ADV
ejpam-5753	276	17	for	for	ADP
ejpam-5753	276	18	more	more	ADV
ejpam-5753	276	19	complex	complex	ADJ
ejpam-5753	276	20	or	or	CCONJ
ejpam-5753	276	21	larger	large	ADJ
ejpam-5753	276	22	networks	network	NOUN
ejpam-5753	276	23	,	,	PUNCT
ejpam-5753	276	24	by	by	ADP
ejpam-5753	276	25	optimizing	optimize	VERB
ejpam-5753	276	26	the	the	DET
ejpam-5753	276	27	number	number	NOUN
ejpam-5753	276	28	and	and	CCONJ
ejpam-5753	276	29	placement	placement	NOUN
ejpam-5753	276	30	of	of	ADP
ejpam-5753	276	31	pmus	pmus	NOUN
ejpam-5753	276	32	needed	need	VERB
ejpam-5753	276	33	for	for	ADP
ejpam-5753	276	34	comprehensive	comprehensive	ADJ
ejpam-5753	276	35	system	system	NOUN
ejpam-5753	276	36	observability	observability	NOUN
ejpam-5753	276	37	.	.	PUNCT
ejpam-5753	277	1	6	6	NUM
ejpam-5753	277	2	.	.	X
ejpam-5753	277	3	conclusions	conclusion	NOUN
ejpam-5753	277	4	in	in	ADP
ejpam-5753	277	5	this	this	DET
ejpam-5753	277	6	paper	paper	NOUN
ejpam-5753	277	7	,	,	PUNCT
ejpam-5753	277	8	the	the	DET
ejpam-5753	277	9	pd	pd	PROPN
ejpam-5753	277	10	algorithm	algorithm	NOUN
ejpam-5753	277	11	is	be	AUX
ejpam-5753	277	12	used	use	VERB
ejpam-5753	277	13	to	to	PART
ejpam-5753	277	14	improve	improve	VERB
ejpam-5753	277	15	grid	grid	NOUN
ejpam-5753	277	16	monitoring	monitoring	NOUN
ejpam-5753	277	17	and	and	CCONJ
ejpam-5753	277	18	control	control	NOUN
ejpam-5753	277	19	systems	system	NOUN
ejpam-5753	277	20	.	.	PUNCT
ejpam-5753	278	1	the	the	DET
ejpam-5753	278	2	scalability	scalability	NOUN
ejpam-5753	278	3	of	of	ADP
ejpam-5753	278	4	the	the	DET
ejpam-5753	278	5	pd	pd	PROPN
ejpam-5753	278	6	and	and	CCONJ
ejpam-5753	278	7	2	2	NUM
ejpam-5753	278	8	-	-	PUNCT
ejpam-5753	278	9	pd	pd	NOUN
ejpam-5753	278	10	algorithm	algorithm	NOUN
ejpam-5753	278	11	is	be	AUX
ejpam-5753	278	12	tested	test	VERB
ejpam-5753	278	13	for	for	ADP
ejpam-5753	278	14	various	various	ADJ
ejpam-5753	278	15	graph	graph	NOUN
ejpam-5753	278	16	structures	structure	NOUN
ejpam-5753	278	17	.	.	PUNCT
ejpam-5753	279	1	despite	despite	SCONJ
ejpam-5753	279	2	challenges	challenge	NOUN
ejpam-5753	279	3	with	with	ADP
ejpam-5753	279	4	specific	specific	ADJ
ejpam-5753	279	5	configurations	configuration	NOUN
ejpam-5753	279	6	such	such	ADJ
ejpam-5753	279	7	as	as	ADP
ejpam-5753	279	8	ladder	ladder	NOUN
ejpam-5753	279	9	graphs	graph	NOUN
ejpam-5753	279	10	,	,	PUNCT
ejpam-5753	279	11	the	the	DET
ejpam-5753	279	12	algorithm	algorithm	NOUN
ejpam-5753	279	13	demonstrates	demonstrate	VERB
ejpam-5753	279	14	its	its	PRON
ejpam-5753	279	15	effectiveness	effectiveness	NOUN
ejpam-5753	279	16	in	in	ADP
ejpam-5753	279	17	graphical	graphical	ADJ
ejpam-5753	279	18	networks	network	NOUN
ejpam-5753	279	19	and	and	CCONJ
ejpam-5753	279	20	adaptability	adaptability	NOUN
ejpam-5753	279	21	to	to	ADP
ejpam-5753	279	22	structural	structural	ADJ
ejpam-5753	279	23	context	context	NOUN
ejpam-5753	279	24	.	.	PUNCT
ejpam-5753	280	1	this	this	DET
ejpam-5753	280	2	adaptability	adaptability	NOUN
ejpam-5753	280	3	is	be	AUX
ejpam-5753	280	4	important	important	ADJ
ejpam-5753	280	5	for	for	ADP
ejpam-5753	280	6	real	real	ADJ
ejpam-5753	280	7	-	-	PUNCT
ejpam-5753	280	8	world	world	NOUN
ejpam-5753	280	9	applications	application	NOUN
ejpam-5753	280	10	,	,	PUNCT
ejpam-5753	280	11	where	where	SCONJ
ejpam-5753	280	12	power	power	NOUN
ejpam-5753	280	13	grids	grid	NOUN
ejpam-5753	280	14	often	often	ADV
ejpam-5753	280	15	have	have	VERB
ejpam-5753	280	16	complex	complex	ADJ
ejpam-5753	280	17	and	and	CCONJ
ejpam-5753	280	18	heterogeneous	heterogeneous	ADJ
ejpam-5753	280	19	structures	structure	NOUN
ejpam-5753	280	20	.	.	PUNCT
ejpam-5753	281	1	pmus	pmus	NOUN
ejpam-5753	281	2	play	play	VERB
ejpam-5753	281	3	a	a	DET
ejpam-5753	281	4	important	important	ADJ
ejpam-5753	281	5	role	role	NOUN
ejpam-5753	281	6	by	by	ADP
ejpam-5753	281	7	providing	provide	VERB
ejpam-5753	281	8	accurate	accurate	ADJ
ejpam-5753	281	9	and	and	CCONJ
ejpam-5753	281	10	timely	timely	ADJ
ejpam-5753	281	11	measurements	measurement	NOUN
ejpam-5753	281	12	of	of	ADP
ejpam-5753	281	13	voltage	voltage	NOUN
ejpam-5753	281	14	and	and	CCONJ
ejpam-5753	281	15	current	current	ADJ
ejpam-5753	281	16	.	.	PUNCT
ejpam-5753	282	1	network	network	NOUN
ejpam-5753	282	2	operators	operator	NOUN
ejpam-5753	282	3	gain	gain	VERB
ejpam-5753	282	4	comprehensive	comprehensive	ADJ
ejpam-5753	282	5	,	,	PUNCT
ejpam-5753	282	6	real	real	ADJ
ejpam-5753	282	7	-	-	PUNCT
ejpam-5753	282	8	time	time	NOUN
ejpam-5753	282	9	information	information	NOUN
ejpam-5753	282	10	about	about	ADP
ejpam-5753	282	11	system	system	NOUN
ejpam-5753	282	12	status	status	NOUN
ejpam-5753	282	13	,	,	PUNCT
ejpam-5753	282	14	allowing	allow	VERB
ejpam-5753	282	15	them	they	PRON
ejpam-5753	282	16	to	to	PART
ejpam-5753	282	17	respond	respond	VERB
ejpam-5753	282	18	to	to	ADP
ejpam-5753	282	19	incidents	incident	NOUN
ejpam-5753	282	20	and	and	CCONJ
ejpam-5753	282	21	errors	error	NOUN
ejpam-5753	282	22	more	more	ADV
ejpam-5753	282	23	effectively	effectively	ADV
ejpam-5753	282	24	by	by	ADP
ejpam-5753	282	25	strategically	strategically	ADV
ejpam-5753	282	26	placing	place	VERB
ejpam-5753	282	27	pmus	pmus	NOUN
ejpam-5753	282	28	in	in	ADP
ejpam-5753	282	29	key	key	ADJ
ejpam-5753	282	30	locations	location	NOUN
ejpam-5753	282	31	.	.	PUNCT
ejpam-5753	283	1	acknowledgements	acknowledgement	NOUN
ejpam-5753	283	2	:	:	PUNCT
ejpam-5753	283	3	we	we	PRON
ejpam-5753	283	4	sincerely	sincerely	ADV
ejpam-5753	283	5	appreciate	appreciate	VERB
ejpam-5753	283	6	the	the	DET
ejpam-5753	283	7	editors	editor	NOUN
ejpam-5753	283	8	and	and	CCONJ
ejpam-5753	283	9	anonymous	anonymous	ADJ
ejpam-5753	283	10	reviewers	reviewer	NOUN
ejpam-5753	283	11	for	for	ADP
ejpam-5753	283	12	their	their	PRON
ejpam-5753	283	13	insightful	insightful	ADJ
ejpam-5753	283	14	suggestions	suggestion	NOUN
ejpam-5753	283	15	,	,	PUNCT
ejpam-5753	283	16	which	which	PRON
ejpam-5753	283	17	greatly	greatly	ADV
ejpam-5753	283	18	enhanced	enhance	VERB
ejpam-5753	283	19	the	the	DET
ejpam-5753	283	20	quality	quality	NOUN
ejpam-5753	283	21	of	of	ADP
ejpam-5753	283	22	this	this	DET
ejpam-5753	283	23	paper	paper	NOUN
ejpam-5753	283	24	.	.	PUNCT
ejpam-5753	284	1	funding	funding	NOUN
ejpam-5753	284	2	:	:	PUNCT
ejpam-5753	284	3	this	this	DET
ejpam-5753	284	4	research	research	NOUN
ejpam-5753	284	5	was	be	AUX
ejpam-5753	284	6	supported	support	VERB
ejpam-5753	284	7	by	by	ADP
ejpam-5753	284	8	university	university	NOUN
ejpam-5753	284	9	of	of	ADP
ejpam-5753	284	10	phayao	phayao	NOUN
ejpam-5753	284	11	and	and	CCONJ
ejpam-5753	284	12	thailand	thailand	PROPN
ejpam-5753	284	13	science	science	PROPN
ejpam-5753	284	14	research	research	PROPN
ejpam-5753	284	15	and	and	CCONJ
ejpam-5753	284	16	innovation	innovation	NOUN
ejpam-5753	284	17	fund	fund	NOUN
ejpam-5753	284	18	(	(	PUNCT
ejpam-5753	284	19	fundamental	fundamental	ADJ
ejpam-5753	284	20	fund	fund	NOUN
ejpam-5753	284	21	2025	2025	NUM
ejpam-5753	284	22	,	,	PUNCT
ejpam-5753	284	23	grant	grant	VERB
ejpam-5753	284	24	no	no	NOUN
ejpam-5753	284	25	.	.	PUNCT
ejpam-5753	285	1	5020/2567	5020/2567	NUM
ejpam-5753	285	2	)	)	PUNCT
ejpam-5753	285	3	.	.	PUNCT
ejpam-5753	286	1	declaration	declaration	NOUN
ejpam-5753	286	2	of	of	ADP
ejpam-5753	286	3	competing	compete	VERB
ejpam-5753	286	4	interest	interest	NOUN
ejpam-5753	286	5	:	:	PUNCT
ejpam-5753	286	6	the	the	DET
ejpam-5753	286	7	author	author	NOUN
ejpam-5753	286	8	confirms	confirm	VERB
ejpam-5753	286	9	the	the	DET
ejpam-5753	286	10	absence	absence	NOUN
ejpam-5753	286	11	of	of	ADP
ejpam-5753	286	12	any	any	DET
ejpam-5753	286	13	known	know	VERB
ejpam-5753	286	14	financial	financial	ADJ
ejpam-5753	286	15	conflicts	conflict	NOUN
ejpam-5753	286	16	of	of	ADP
ejpam-5753	286	17	interest	interest	NOUN
ejpam-5753	286	18	or	or	CCONJ
ejpam-5753	286	19	personal	personal	ADJ
ejpam-5753	286	20	relationships	relationship	NOUN
ejpam-5753	286	21	that	that	PRON
ejpam-5753	286	22	might	might	AUX
ejpam-5753	286	23	have	have	AUX
ejpam-5753	286	24	influenced	influence	VERB
ejpam-5753	286	25	the	the	DET
ejpam-5753	286	26	work	work	NOUN
ejpam-5753	286	27	presented	present	VERB
ejpam-5753	286	28	in	in	ADP
ejpam-5753	286	29	this	this	DET
ejpam-5753	286	30	paper	paper	NOUN
ejpam-5753	286	31	.	.	PUNCT
ejpam-5753	287	1	availability	availability	NOUN
ejpam-5753	287	2	of	of	ADP
ejpam-5753	287	3	data	datum	NOUN
ejpam-5753	287	4	and	and	CCONJ
ejpam-5753	287	5	materials	material	NOUN
ejpam-5753	287	6	:	:	PUNCT
ejpam-5753	287	7	not	not	PART
ejpam-5753	287	8	applicable	applicable	ADJ
ejpam-5753	287	9	.	.	PUNCT
ejpam-5753	288	1	author	author	NOUN
ejpam-5753	288	2	’s	’s	PART
ejpam-5753	288	3	contribution	contribution	NOUN
ejpam-5753	288	4	:	:	PUNCT
ejpam-5753	288	5	all	all	DET
ejpam-5753	288	6	authors	author	NOUN
ejpam-5753	288	7	made	make	VERB
ejpam-5753	288	8	equal	equal	ADJ
ejpam-5753	288	9	contributions	contribution	NOUN
ejpam-5753	288	10	to	to	ADP
ejpam-5753	288	11	the	the	DET
ejpam-5753	288	12	manuscript	manuscript	NOUN
ejpam-5753	288	13	,	,	PUNCT
ejpam-5753	288	14	participated	participate	VERB
ejpam-5753	288	15	in	in	ADP
ejpam-5753	288	16	its	its	PRON
ejpam-5753	288	17	drafting	drafting	NOUN
ejpam-5753	288	18	and	and	CCONJ
ejpam-5753	288	19	revision	revision	NOUN
ejpam-5753	288	20	,	,	PUNCT
ejpam-5753	288	21	and	and	CCONJ
ejpam-5753	288	22	approved	approve	VERB
ejpam-5753	288	23	the	the	DET
ejpam-5753	288	24	final	final	ADJ
ejpam-5753	288	25	version	version	NOUN
ejpam-5753	288	26	.	.	PUNCT
ejpam-5753	289	1	ethical	ethical	ADJ
ejpam-5753	289	2	approval	approval	NOUN
ejpam-5753	289	3	:	:	PUNCT
ejpam-5753	289	4	not	not	PART
ejpam-5753	289	5	applicable	applicable	ADJ
ejpam-5753	289	6	.	.	PUNCT
ejpam-5753	290	1	references	reference	NOUN
ejpam-5753	290	2	[	[	X
ejpam-5753	290	3	1	1	X
ejpam-5753	290	4	]	]	PUNCT
ejpam-5753	290	5	j.	j.	PROPN
ejpam-5753	290	6	anitha	anitha	PROPN
ejpam-5753	290	7	and	and	CCONJ
ejpam-5753	290	8	indra	indra	PROPN
ejpam-5753	290	9	rajasingh	rajasingh	PROPN
ejpam-5753	290	10	.	.	PUNCT
ejpam-5753	291	1	power	power	NOUN
ejpam-5753	291	2	domination	domination	NOUN
ejpam-5753	291	3	parameters	parameter	NOUN
ejpam-5753	291	4	in	in	ADP
ejpam-5753	291	5	hypermeshpyramid	hypermeshpyramid	PROPN
ejpam-5753	291	6	networks	network	NOUN
ejpam-5753	291	7	and	and	CCONJ
ejpam-5753	291	8	corona	corona	NOUN
ejpam-5753	291	9	graphs	graph	NOUN
ejpam-5753	291	10	.	.	PUNCT
ejpam-5753	292	1	international	international	ADJ
ejpam-5753	292	2	journal	journal	NOUN
ejpam-5753	292	3	of	of	ADP
ejpam-5753	292	4	pure	pure	ADJ
ejpam-5753	292	5	and	and	CCONJ
ejpam-5753	292	6	applied	applied	ADJ
ejpam-5753	292	7	mathematics	mathematic	NOUN
ejpam-5753	292	8	,	,	PUNCT
ejpam-5753	292	9	109(5):59–66	109(5):59–66	NUM
ejpam-5753	292	10	,	,	PUNCT
ejpam-5753	292	11	2016	2016	NUM
ejpam-5753	292	12	.	.	PUNCT
ejpam-5753	293	1	[	[	X
ejpam-5753	293	2	2	2	NUM
ejpam-5753	293	3	]	]	X
ejpam-5753	293	4	r.	r.	PROPN
ejpam-5753	293	5	barrera	barrera	PROPN
ejpam-5753	293	6	and	and	CCONJ
ejpam-5753	293	7	d.	d.	PROPN
ejpam-5753	293	8	ferrero	ferrero	PROPN
ejpam-5753	293	9	.	.	PUNCT
ejpam-5753	294	1	power	power	NOUN
ejpam-5753	294	2	domination	domination	NOUN
ejpam-5753	294	3	in	in	ADP
ejpam-5753	294	4	cylinders	cylinder	NOUN
ejpam-5753	294	5	,	,	PUNCT
ejpam-5753	294	6	tori	tori	NOUN
ejpam-5753	294	7	,	,	PUNCT
ejpam-5753	294	8	and	and	CCONJ
ejpam-5753	294	9	the	the	DET
ejpam-5753	294	10	generalized	generalized	ADJ
ejpam-5753	294	11	petersen	petersen	NOUN
ejpam-5753	294	12	graphs	graph	NOUN
ejpam-5753	294	13	.	.	PUNCT
ejpam-5753	295	1	networks	network	NOUN
ejpam-5753	295	2	,	,	PUNCT
ejpam-5753	295	3	pages	page	NOUN
ejpam-5753	295	4	43–49	43–49	PROPN
ejpam-5753	295	5	,	,	PUNCT
ejpam-5753	295	6	2009	2009	NUM
ejpam-5753	295	7	.	.	PUNCT
ejpam-5753	296	1	j.	j.	PROPN
ejpam-5753	296	2	anitha	anitha	PROPN
ejpam-5753	296	3	et	et	PROPN
ejpam-5753	296	4	al	al	PROPN
ejpam-5753	296	5	.	.	PUNCT
ejpam-5753	296	6	/	/	SYM
ejpam-5753	296	7	eur	eur	PROPN
ejpam-5753	296	8	.	.	PUNCT
ejpam-5753	297	1	j.	j.	PROPN
ejpam-5753	297	2	pure	pure	PROPN
ejpam-5753	297	3	appl	appl	PROPN
ejpam-5753	297	4	.	.	PROPN
ejpam-5753	297	5	math	math	PROPN
ejpam-5753	297	6	,	,	PUNCT
ejpam-5753	297	7	18	18	NUM
ejpam-5753	297	8	(	(	PUNCT
ejpam-5753	297	9	1	1	NUM
ejpam-5753	297	10	)	)	PUNCT
ejpam-5753	297	11	(	(	PUNCT
ejpam-5753	297	12	2025	2025	NUM
ejpam-5753	297	13	)	)	PUNCT
ejpam-5753	297	14	,	,	PUNCT
ejpam-5753	297	15	5753	5753	NUM
ejpam-5753	297	16	15	15	NUM
ejpam-5753	297	17	of	of	ADP
ejpam-5753	297	18	16	16	NUM
ejpam-5753	297	19	[	[	X
ejpam-5753	297	20	3	3	X
ejpam-5753	297	21	]	]	X
ejpam-5753	297	22	k.f	k.f	PROPN
ejpam-5753	297	23	.	.	PROPN
ejpam-5753	297	24	benson	benson	PROPN
ejpam-5753	297	25	,	,	PUNCT
ejpam-5753	297	26	d.	d.	PROPN
ejpam-5753	297	27	ferrero	ferrero	PROPN
ejpam-5753	297	28	,	,	PUNCT
ejpam-5753	297	29	m.	m.	PROPN
ejpam-5753	297	30	flagg	flagg	PROPN
ejpam-5753	297	31	,	,	PUNCT
ejpam-5753	297	32	v.	v.	PROPN
ejpam-5753	297	33	furst	furst	PROPN
ejpam-5753	297	34	,	,	PUNCT
ejpam-5753	297	35	l.	l.	PROPN
ejpam-5753	297	36	hogben	hogben	PROPN
ejpam-5753	297	37	,	,	PUNCT
ejpam-5753	297	38	v.	v.	ADP
ejpam-5753	297	39	vasilevskak	vasilevskak	PROPN
ejpam-5753	297	40	,	,	PUNCT
ejpam-5753	297	41	and	and	CCONJ
ejpam-5753	297	42	b.	b.	PROPN
ejpam-5753	297	43	wissman	wissman	NOUN
ejpam-5753	297	44	.	.	PUNCT
ejpam-5753	298	1	zero	zero	NUM
ejpam-5753	298	2	forcing	forcing	NOUN
ejpam-5753	298	3	and	and	CCONJ
ejpam-5753	298	4	power	power	NOUN
ejpam-5753	298	5	domination	domination	NOUN
ejpam-5753	298	6	for	for	ADP
ejpam-5753	298	7	graph	graph	NOUN
ejpam-5753	298	8	products	product	NOUN
ejpam-5753	298	9	.	.	PUNCT
ejpam-5753	299	1	https://arxiv.org/abs/1510.02421	https://arxiv.org/abs/1510.02421	NOUN
ejpam-5753	299	2	.	.	PUNCT
ejpam-5753	300	1	[	[	X
ejpam-5753	300	2	4	4	X
ejpam-5753	300	3	]	]	X
ejpam-5753	300	4	b.	b.	PROPN
ejpam-5753	300	5	brimkov	brimkov	PROPN
ejpam-5753	300	6	,	,	PUNCT
ejpam-5753	300	7	d.	d.	PROPN
ejpam-5753	300	8	mikesell	mikesell	PROPN
ejpam-5753	300	9	,	,	PUNCT
ejpam-5753	300	10	and	and	CCONJ
ejpam-5753	300	11	l.	l.	PROPN
ejpam-5753	300	12	smith	smith	PROPN
ejpam-5753	300	13	.	.	PUNCT
ejpam-5753	301	1	connected	connect	VERB
ejpam-5753	301	2	power	power	NOUN
ejpam-5753	301	3	domination	domination	NOUN
ejpam-5753	301	4	in	in	ADP
ejpam-5753	301	5	graphs	graph	NOUN
ejpam-5753	301	6	.	.	PUNCT
ejpam-5753	302	1	j.	j.	PROPN
ejpam-5753	302	2	comb	comb	PROPN
ejpam-5753	302	3	.	.	PUNCT
ejpam-5753	303	1	optim	optim	PROPN
ejpam-5753	303	2	.	.	PROPN
ejpam-5753	303	3	,	,	PUNCT
ejpam-5753	303	4	38(1):292–315	38(1):292–315	PROPN
ejpam-5753	303	5	,	,	PUNCT
ejpam-5753	303	6	2019	2019	NUM
ejpam-5753	303	7	.	.	PUNCT
ejpam-5753	304	1	[	[	X
ejpam-5753	304	2	5	5	NUM
ejpam-5753	304	3	]	]	X
ejpam-5753	304	4	g.j	g.j	PROPN
ejpam-5753	304	5	.	.	PROPN
ejpam-5753	304	6	chang	chang	PROPN
ejpam-5753	304	7	,	,	PUNCT
ejpam-5753	304	8	p.	p.	PROPN
ejpam-5753	304	9	dorbec	dorbec	PROPN
ejpam-5753	304	10	,	,	PUNCT
ejpam-5753	304	11	m.	m.	NOUN
ejpam-5753	304	12	montassier	montassier	NOUN
ejpam-5753	304	13	,	,	PUNCT
ejpam-5753	304	14	and	and	CCONJ
ejpam-5753	304	15	a.	a.	NOUN
ejpam-5753	304	16	raspud	raspud	NOUN
ejpam-5753	304	17	.	.	PUNCT
ejpam-5753	305	1	generalized	generalized	ADJ
ejpam-5753	305	2	power	power	NOUN
ejpam-5753	305	3	domination	domination	NOUN
ejpam-5753	305	4	of	of	ADP
ejpam-5753	305	5	graphs	graph	NOUN
ejpam-5753	305	6	.	.	PUNCT
ejpam-5753	306	1	discrete	discrete	ADJ
ejpam-5753	306	2	applied	apply	VERB
ejpam-5753	306	3	mathematics	mathematic	NOUN
ejpam-5753	306	4	,	,	PUNCT
ejpam-5753	306	5	160(12):1691–1698	160(12):1691–1698	NUM
ejpam-5753	306	6	,	,	PUNCT
ejpam-5753	306	7	2012	2012	NUM
ejpam-5753	306	8	.	.	PUNCT
ejpam-5753	307	1	[	[	X
ejpam-5753	307	2	6	6	NUM
ejpam-5753	307	3	]	]	PUNCT
ejpam-5753	307	4	zhihua	zhihua	PROPN
ejpam-5753	307	5	chen	chen	PROPN
ejpam-5753	307	6	,	,	PUNCT
ejpam-5753	307	7	s.	s.	PROPN
ejpam-5753	307	8	kosari	kosari	PROPN
ejpam-5753	307	9	,	,	PUNCT
ejpam-5753	307	10	s.	s.	PROPN
ejpam-5753	307	11	omidi	omidi	PROPN
ejpam-5753	307	12	,	,	PUNCT
ejpam-5753	307	13	n.	n.	NOUN
ejpam-5753	307	14	mehdipoor	mehdipoor	PROPN
ejpam-5753	307	15	,	,	PUNCT
ejpam-5753	307	16	a.a	a.a	PROPN
ejpam-5753	307	17	.	.	PROPN
ejpam-5753	307	18	talebi	talebi	PROPN
ejpam-5753	307	19	,	,	PUNCT
ejpam-5753	307	20	and	and	CCONJ
ejpam-5753	307	21	h.	h.	PROPN
ejpam-5753	307	22	rashmanlou	rashmanlou	PROPN
ejpam-5753	307	23	.	.	PUNCT
ejpam-5753	308	1	elementary	elementary	PROPN
ejpam-5753	308	2	abelian	abelian	PROPN
ejpam-5753	308	3	covers	cover	NOUN
ejpam-5753	308	4	of	of	ADP
ejpam-5753	308	5	the	the	DET
ejpam-5753	308	6	wreath	wreath	NOUN
ejpam-5753	308	7	graph	graph	NOUN
ejpam-5753	308	8	w(3,2	w(3,2	NOUN
ejpam-5753	308	9	)	)	PUNCT
ejpam-5753	308	10	and	and	CCONJ
ejpam-5753	308	11	the	the	DET
ejpam-5753	308	12	foster	foster	ADJ
ejpam-5753	308	13	graph	graph	NOUN
ejpam-5753	308	14	f26a	f26a	NOUN
ejpam-5753	308	15	.	.	PUNCT
ejpam-5753	309	1	akce	akce	PROPN
ejpam-5753	309	2	int	int	PROPN
ejpam-5753	309	3	.	.	PUNCT
ejpam-5753	310	1	j.	j.	PROPN
ejpam-5753	310	2	graphs	graphs	PROPN
ejpam-5753	310	3	comb	comb	PROPN
ejpam-5753	310	4	.	.	PUNCT
ejpam-5753	310	5	,	,	PUNCT
ejpam-5753	310	6	20:20–28	20:20–28	NUM
ejpam-5753	310	7	,	,	PUNCT
ejpam-5753	310	8	2022	2022	NUM
ejpam-5753	310	9	.	.	PUNCT
ejpam-5753	311	1	[	[	X
ejpam-5753	311	2	7	7	X
ejpam-5753	311	3	]	]	PUNCT
ejpam-5753	311	4	p.	p.	NOUN
ejpam-5753	311	5	dorbec	dorbec	PROPN
ejpam-5753	311	6	and	and	CCONJ
ejpam-5753	311	7	s.	s.	PROPN
ejpam-5753	311	8	klazvar	klazvar	PROPN
ejpam-5753	311	9	.	.	PUNCT
ejpam-5753	312	1	generalized	generalize	VERB
ejpam-5753	312	2	power	power	NOUN
ejpam-5753	312	3	domination	domination	NOUN
ejpam-5753	312	4	:	:	PUNCT
ejpam-5753	312	5	propagation	propagation	NOUN
ejpam-5753	312	6	radius	radius	NOUN
ejpam-5753	312	7	and	and	CCONJ
ejpam-5753	312	8	sierpinski	sierpinski	ADJ
ejpam-5753	312	9	graphs	graph	NOUN
ejpam-5753	312	10	.	.	PUNCT
ejpam-5753	313	1	acta	acta	PROPN
ejpam-5753	313	2	applicandae	applicandae	PROPN
ejpam-5753	313	3	mathematicae	mathematicae	PROPN
ejpam-5753	313	4	,	,	PUNCT
ejpam-5753	313	5	2014	2014	NUM
ejpam-5753	313	6	.	.	PUNCT
ejpam-5753	314	1	[	[	X
ejpam-5753	314	2	8	8	NUM
ejpam-5753	314	3	]	]	PUNCT
ejpam-5753	314	4	p.	p.	NOUN
ejpam-5753	314	5	dorbec	dorbec	PROPN
ejpam-5753	314	6	,	,	PUNCT
ejpam-5753	314	7	m.	m.	NOUN
ejpam-5753	314	8	mollard	mollard	PROPN
ejpam-5753	314	9	,	,	PUNCT
ejpam-5753	314	10	s.	s.	PROPN
ejpam-5753	314	11	klavzar	klavzar	PROPN
ejpam-5753	314	12	,	,	PUNCT
ejpam-5753	314	13	and	and	CCONJ
ejpam-5753	314	14	s.	s.	PROPN
ejpam-5753	314	15	spacapan	spacapan	PROPN
ejpam-5753	314	16	.	.	PUNCT
ejpam-5753	315	1	power	power	NOUN
ejpam-5753	315	2	domination	domination	NOUN
ejpam-5753	315	3	in	in	ADP
ejpam-5753	315	4	product	product	NOUN
ejpam-5753	315	5	graphs	graph	NOUN
ejpam-5753	315	6	.	.	PUNCT
ejpam-5753	316	1	siam	siam	PROPN
ejpam-5753	316	2	journal	journal	PROPN
ejpam-5753	316	3	on	on	ADP
ejpam-5753	316	4	discrete	discrete	ADJ
ejpam-5753	316	5	mathematics	mathematic	NOUN
ejpam-5753	316	6	,	,	PUNCT
ejpam-5753	316	7	22(2):554–567	22(2):554–567	NUM
ejpam-5753	316	8	,	,	PUNCT
ejpam-5753	316	9	2008	2008	NUM
ejpam-5753	316	10	.	.	PUNCT
ejpam-5753	317	1	[	[	X
ejpam-5753	317	2	9	9	NUM
ejpam-5753	317	3	]	]	PUNCT
ejpam-5753	317	4	m.	m.	NOUN
ejpam-5753	317	5	dorfling	dorfling	NOUN
ejpam-5753	317	6	and	and	CCONJ
ejpam-5753	317	7	m.	m.	NOUN
ejpam-5753	317	8	henning	henning	PROPN
ejpam-5753	317	9	.	.	PUNCT
ejpam-5753	318	1	a	a	DET
ejpam-5753	318	2	note	note	NOUN
ejpam-5753	318	3	on	on	ADP
ejpam-5753	318	4	power	power	NOUN
ejpam-5753	318	5	domination	domination	NOUN
ejpam-5753	318	6	problem	problem	NOUN
ejpam-5753	318	7	in	in	ADP
ejpam-5753	318	8	graphs	graph	NOUN
ejpam-5753	318	9	.	.	PUNCT
ejpam-5753	319	1	discrete	discrete	ADJ
ejpam-5753	319	2	applied	apply	VERB
ejpam-5753	319	3	mathematics	mathematic	NOUN
ejpam-5753	319	4	,	,	PUNCT
ejpam-5753	319	5	154(6):1023–1027	154(6):1023–1027	NUM
ejpam-5753	319	6	,	,	PUNCT
ejpam-5753	319	7	2006	2006	NUM
ejpam-5753	319	8	.	.	PUNCT
ejpam-5753	320	1	[	[	X
ejpam-5753	320	2	10	10	NUM
ejpam-5753	320	3	]	]	X
ejpam-5753	320	4	j.	j.	PROPN
ejpam-5753	320	5	guo	guo	PROPN
ejpam-5753	320	6	,	,	PUNCT
ejpam-5753	320	7	r.	r.	PROPN
ejpam-5753	320	8	niedermeier	niedermeier	PROPN
ejpam-5753	320	9	,	,	PUNCT
ejpam-5753	320	10	and	and	CCONJ
ejpam-5753	320	11	d.	d.	PROPN
ejpam-5753	320	12	raible	raible	PROPN
ejpam-5753	320	13	.	.	PUNCT
ejpam-5753	321	1	improved	improve	VERB
ejpam-5753	321	2	algorithms	algorithm	NOUN
ejpam-5753	321	3	and	and	CCONJ
ejpam-5753	321	4	complexity	complexity	NOUN
ejpam-5753	321	5	results	result	NOUN
ejpam-5753	321	6	for	for	ADP
ejpam-5753	321	7	power	power	NOUN
ejpam-5753	321	8	domination	domination	NOUN
ejpam-5753	321	9	in	in	ADP
ejpam-5753	321	10	graphs	graph	NOUN
ejpam-5753	321	11	.	.	PUNCT
ejpam-5753	322	1	algorithmica	algorithmica	PROPN
ejpam-5753	322	2	,	,	PUNCT
ejpam-5753	322	3	52:177–202	52:177–202	PROPN
ejpam-5753	322	4	,	,	PUNCT
ejpam-5753	322	5	2008	2008	NUM
ejpam-5753	322	6	.	.	PUNCT
ejpam-5753	323	1	[	[	X
ejpam-5753	323	2	11	11	NUM
ejpam-5753	323	3	]	]	X
ejpam-5753	323	4	t.w	t.w	PROPN
ejpam-5753	323	5	.	.	PROPN
ejpam-5753	323	6	haynes	haynes	PROPN
ejpam-5753	323	7	,	,	PUNCT
ejpam-5753	323	8	s.m	s.m	PROPN
ejpam-5753	323	9	.	.	PROPN
ejpam-5753	323	10	hedetniemi	hedetniemi	PROPN
ejpam-5753	323	11	,	,	PUNCT
ejpam-5753	323	12	s.t	s.t	PROPN
ejpam-5753	323	13	.	.	PROPN
ejpam-5753	323	14	hedetniemi	hedetniemi	PROPN
ejpam-5753	323	15	,	,	PUNCT
ejpam-5753	323	16	and	and	CCONJ
ejpam-5753	323	17	m.a	m.a	PROPN
ejpam-5753	323	18	.	.	PROPN
ejpam-5753	323	19	henning	henning	PROPN
ejpam-5753	323	20	.	.	PUNCT
ejpam-5753	324	1	power	power	NOUN
ejpam-5753	324	2	domination	domination	NOUN
ejpam-5753	324	3	in	in	ADP
ejpam-5753	324	4	graphs	graph	NOUN
ejpam-5753	324	5	applied	apply	VERB
ejpam-5753	324	6	to	to	ADP
ejpam-5753	324	7	electrical	electrical	ADJ
ejpam-5753	324	8	power	power	NOUN
ejpam-5753	324	9	networks	network	NOUN
ejpam-5753	324	10	.	.	PUNCT
ejpam-5753	325	1	siam	siam	PROPN
ejpam-5753	325	2	journal	journal	PROPN
ejpam-5753	325	3	on	on	ADP
ejpam-5753	325	4	discrete	discrete	ADJ
ejpam-5753	325	5	mathematics	mathematic	NOUN
ejpam-5753	325	6	,	,	PUNCT
ejpam-5753	325	7	15(4):519–529	15(4):519–529	NUM
ejpam-5753	325	8	,	,	PUNCT
ejpam-5753	325	9	2002	2002	NUM
ejpam-5753	325	10	.	.	PUNCT
ejpam-5753	326	1	[	[	X
ejpam-5753	326	2	12	12	NUM
ejpam-5753	326	3	]	]	PUNCT
ejpam-5753	326	4	j.	j.	PROPN
ejpam-5753	326	5	kneis	kneis	PROPN
ejpam-5753	326	6	,	,	PUNCT
ejpam-5753	326	7	d.	d.	PROPN
ejpam-5753	326	8	mölle	mölle	PROPN
ejpam-5753	326	9	,	,	PUNCT
ejpam-5753	326	10	s.	s.	PROPN
ejpam-5753	326	11	richter	richter	PROPN
ejpam-5753	326	12	,	,	PUNCT
ejpam-5753	326	13	and	and	CCONJ
ejpam-5753	326	14	p.	p.	PROPN
ejpam-5753	326	15	rossmanith	rossmanith	PROPN
ejpam-5753	326	16	.	.	PUNCT
ejpam-5753	327	1	parameterized	parameterized	ADJ
ejpam-5753	327	2	power	power	NOUN
ejpam-5753	327	3	domination	domination	NOUN
ejpam-5753	327	4	complexity	complexity	NOUN
ejpam-5753	327	5	.	.	PUNCT
ejpam-5753	328	1	inform	inform	NOUN
ejpam-5753	328	2	.	.	PUNCT
ejpam-5753	328	3	process	process	NOUN
ejpam-5753	328	4	.	.	PUNCT
ejpam-5753	329	1	lett	lett	PROPN
ejpam-5753	329	2	.	.	PROPN
ejpam-5753	329	3	,	,	PUNCT
ejpam-5753	329	4	98(4):145–149	98(4):145–149	NOUN
ejpam-5753	329	5	,	,	PUNCT
ejpam-5753	329	6	2006	2006	NUM
ejpam-5753	329	7	.	.	PUNCT
ejpam-5753	330	1	[	[	X
ejpam-5753	330	2	13	13	NUM
ejpam-5753	330	3	]	]	PUNCT
ejpam-5753	330	4	s.	s.	PROPN
ejpam-5753	330	5	kosari	kosari	PROPN
ejpam-5753	330	6	,	,	PUNCT
ejpam-5753	330	7	x.	x.	PROPN
ejpam-5753	330	8	qiang	qiang	PROPN
ejpam-5753	330	9	,	,	PUNCT
ejpam-5753	330	10	j.	j.	PROPN
ejpam-5753	330	11	kacprzyk	kacprzyk	PROPN
ejpam-5753	330	12	,	,	PUNCT
ejpam-5753	330	13	q.t	q.t	PROPN
ejpam-5753	330	14	.	.	PROPN
ejpam-5753	330	15	ain	ain	PROPN
ejpam-5753	330	16	,	,	PUNCT
ejpam-5753	330	17	and	and	CCONJ
ejpam-5753	330	18	h.	h.	PROPN
ejpam-5753	330	19	rashmanlou	rashmanlou	PROPN
ejpam-5753	330	20	.	.	PUNCT
ejpam-5753	331	1	a	a	DET
ejpam-5753	331	2	study	study	NOUN
ejpam-5753	331	3	on	on	ADP
ejpam-5753	331	4	topological	topological	ADJ
ejpam-5753	331	5	indices	index	NOUN
ejpam-5753	331	6	in	in	ADP
ejpam-5753	331	7	fuzzy	fuzzy	ADJ
ejpam-5753	331	8	graphs	graph	NOUN
ejpam-5753	331	9	with	with	ADP
ejpam-5753	331	10	application	application	NOUN
ejpam-5753	331	11	in	in	ADP
ejpam-5753	331	12	decision	decision	NOUN
ejpam-5753	331	13	making	make	VERB
ejpam-5753	331	14	problems	problem	NOUN
ejpam-5753	331	15	.	.	PUNCT
ejpam-5753	332	1	journal	journal	NOUN
ejpam-5753	332	2	of	of	ADP
ejpam-5753	332	3	multiple	multiple	ADV
ejpam-5753	332	4	-	-	PUNCT
ejpam-5753	332	5	valued	value	VERB
ejpam-5753	332	6	logic	logic	NOUN
ejpam-5753	332	7	and	and	CCONJ
ejpam-5753	332	8	soft	soft	ADJ
ejpam-5753	332	9	computing	computing	NOUN
ejpam-5753	332	10	,	,	PUNCT
ejpam-5753	332	11	2024	2024	NUM
ejpam-5753	332	12	.	.	PUNCT
ejpam-5753	333	1	[	[	X
ejpam-5753	333	2	14	14	NUM
ejpam-5753	333	3	]	]	X
ejpam-5753	333	4	s.	s.	PROPN
ejpam-5753	333	5	kosari	kosari	PROPN
ejpam-5753	333	6	,	,	PUNCT
ejpam-5753	333	7	z.	z.	PROPN
ejpam-5753	333	8	shao	shao	PROPN
ejpam-5753	333	9	,	,	PUNCT
ejpam-5753	333	10	y.	y.	PROPN
ejpam-5753	333	11	rao	rao	PROPN
ejpam-5753	333	12	,	,	PUNCT
ejpam-5753	333	13	x.	x.	PROPN
ejpam-5753	333	14	liu	liu	PROPN
ejpam-5753	333	15	,	,	PUNCT
ejpam-5753	333	16	r.	r.	PROPN
ejpam-5753	333	17	cai	cai	PROPN
ejpam-5753	333	18	,	,	PUNCT
ejpam-5753	333	19	and	and	CCONJ
ejpam-5753	333	20	h.	h.	PROPN
ejpam-5753	333	21	rashmanlou	rashmanlou	PROPN
ejpam-5753	333	22	.	.	PUNCT
ejpam-5753	334	1	some	some	DET
ejpam-5753	334	2	types	type	NOUN
ejpam-5753	334	3	of	of	ADP
ejpam-5753	334	4	domination	domination	NOUN
ejpam-5753	334	5	in	in	ADP
ejpam-5753	334	6	vague	vague	ADJ
ejpam-5753	334	7	graphs	graph	NOUN
ejpam-5753	334	8	with	with	ADP
ejpam-5753	334	9	application	application	NOUN
ejpam-5753	334	10	in	in	ADP
ejpam-5753	334	11	medicine	medicine	NOUN
ejpam-5753	334	12	.	.	PUNCT
ejpam-5753	335	1	journal	journal	NOUN
ejpam-5753	335	2	of	of	ADP
ejpam-5753	335	3	multiple	multiple	ADV
ejpam-5753	335	4	-	-	PUNCT
ejpam-5753	335	5	valued	value	VERB
ejpam-5753	335	6	logic	logic	NOUN
ejpam-5753	335	7	and	and	CCONJ
ejpam-5753	335	8	soft	soft	ADJ
ejpam-5753	335	9	computing	computing	NOUN
ejpam-5753	335	10	,	,	PUNCT
ejpam-5753	335	11	2022	2022	NUM
ejpam-5753	335	12	.	.	PUNCT
ejpam-5753	336	1	[	[	X
ejpam-5753	336	2	15	15	NUM
ejpam-5753	336	3	]	]	X
ejpam-5753	336	4	c.s	c.s	PROPN
ejpam-5753	336	5	.	.	PROPN
ejpam-5753	336	6	liao	liao	PROPN
ejpam-5753	336	7	and	and	CCONJ
ejpam-5753	336	8	d.t	d.t	PROPN
ejpam-5753	336	9	.	.	PROPN
ejpam-5753	336	10	lee	lee	PROPN
ejpam-5753	336	11	.	.	PUNCT
ejpam-5753	336	12	power	power	PROPN
ejpam-5753	336	13	domination	domination	NOUN
ejpam-5753	336	14	problems	problem	NOUN
ejpam-5753	336	15	in	in	ADP
ejpam-5753	336	16	graphs	graph	NOUN
ejpam-5753	336	17	.	.	PUNCT
ejpam-5753	337	1	lecture	lecture	NOUN
ejpam-5753	337	2	note	note	NOUN
ejpam-5753	337	3	in	in	ADP
ejpam-5753	337	4	computer	computer	NOUN
ejpam-5753	337	5	science	science	NOUN
ejpam-5753	337	6	,	,	PUNCT
ejpam-5753	337	7	3595:818–828	3595:818–828	PROPN
ejpam-5753	337	8	,	,	PUNCT
ejpam-5753	337	9	2005	2005	NUM
ejpam-5753	337	10	.	.	PUNCT
ejpam-5753	338	1	[	[	X
ejpam-5753	338	2	16	16	NUM
ejpam-5753	338	3	]	]	X
ejpam-5753	338	4	xiaoli	xiaoli	PROPN
ejpam-5753	338	5	qiang	qiang	PROPN
ejpam-5753	338	6	,	,	PUNCT
ejpam-5753	338	7	maryam	maryam	PROPN
ejpam-5753	338	8	akhoundi	akhoundi	PROPN
ejpam-5753	338	9	,	,	PUNCT
ejpam-5753	338	10	zheng	zheng	PROPN
ejpam-5753	338	11	kou	kou	PROPN
ejpam-5753	338	12	,	,	PUNCT
ejpam-5753	338	13	xinyue	xinyue	PROPN
ejpam-5753	338	14	liu	liu	PROPN
ejpam-5753	338	15	,	,	PUNCT
ejpam-5753	338	16	and	and	CCONJ
ejpam-5753	338	17	saeed	saeed	PROPN
ejpam-5753	338	18	kosari	kosari	PROPN
ejpam-5753	338	19	.	.	PUNCT
ejpam-5753	339	1	novel	novel	ADJ
ejpam-5753	339	2	concepts	concept	NOUN
ejpam-5753	339	3	of	of	ADP
ejpam-5753	339	4	domination	domination	NOUN
ejpam-5753	339	5	in	in	ADP
ejpam-5753	339	6	vague	vague	ADJ
ejpam-5753	339	7	graphs	graph	NOUN
ejpam-5753	339	8	with	with	ADP
ejpam-5753	339	9	application	application	NOUN
ejpam-5753	339	10	in	in	ADP
ejpam-5753	339	11	medicine	medicine	NOUN
ejpam-5753	339	12	.	.	PUNCT
ejpam-5753	340	1	mathematical	mathematical	ADJ
ejpam-5753	340	2	problems	problem	NOUN
ejpam-5753	340	3	in	in	ADP
ejpam-5753	340	4	engineering	engineering	NOUN
ejpam-5753	340	5	,	,	PUNCT
ejpam-5753	340	6	page	page	NOUN
ejpam-5753	340	7	1–10	1–10	NOUN
ejpam-5753	340	8	,	,	PUNCT
ejpam-5753	340	9	2021	2021	NUM
ejpam-5753	340	10	.	.	PUNCT
ejpam-5753	341	1	[	[	X
ejpam-5753	341	2	17	17	NUM
ejpam-5753	341	3	]	]	X
ejpam-5753	341	4	r.	r.	PROPN
ejpam-5753	341	5	sundara	sundara	PROPN
ejpam-5753	341	6	rajan	rajan	PROPN
ejpam-5753	341	7	,	,	PUNCT
ejpam-5753	341	8	j.	j.	PROPN
ejpam-5753	341	9	anitha	anitha	PROPN
ejpam-5753	341	10	,	,	PUNCT
ejpam-5753	341	11	and	and	CCONJ
ejpam-5753	341	12	indra	indra	PROPN
ejpam-5753	341	13	rajasingh	rajasingh	NOUN
ejpam-5753	341	14	.	.	PUNCT
ejpam-5753	342	1	2	2	NUM
ejpam-5753	342	2	-	-	PUNCT
ejpam-5753	342	3	power	power	NOUN
ejpam-5753	342	4	domination	domination	NOUN
ejpam-5753	342	5	in	in	ADP
ejpam-5753	342	6	certain	certain	ADJ
ejpam-5753	342	7	interconnection	interconnection	NOUN
ejpam-5753	342	8	networks	network	NOUN
ejpam-5753	342	9	.	.	PUNCT
ejpam-5753	343	1	procedia	procedia	PROPN
ejpam-5753	343	2	computer	computer	NOUN
ejpam-5753	343	3	science	science	NOUN
ejpam-5753	343	4	,	,	PUNCT
ejpam-5753	343	5	57:738–744	57:738–744	PROPN
ejpam-5753	343	6	,	,	PUNCT
ejpam-5753	343	7	2015	2015	NUM
ejpam-5753	343	8	.	.	PUNCT
ejpam-5753	344	1	[	[	X
ejpam-5753	344	2	18	18	NUM
ejpam-5753	344	3	]	]	X
ejpam-5753	344	4	y.	y.	PROPN
ejpam-5753	344	5	rao	rao	PROPN
ejpam-5753	344	6	,	,	PUNCT
ejpam-5753	344	7	s.	s.	PROPN
ejpam-5753	344	8	kosari	kosari	PROPN
ejpam-5753	344	9	,	,	PUNCT
ejpam-5753	344	10	j.	j.	PROPN
ejpam-5753	344	11	anitha	anitha	PROPN
ejpam-5753	344	12	,	,	PUNCT
ejpam-5753	344	13	i.	i.	PROPN
ejpam-5753	344	14	rajasingh	rajasingh	PROPN
ejpam-5753	344	15	,	,	PUNCT
ejpam-5753	344	16	and	and	CCONJ
ejpam-5753	344	17	h.	h.	PROPN
ejpam-5753	344	18	rashmanlou	rashmanlou	PROPN
ejpam-5753	344	19	.	.	PUNCT
ejpam-5753	345	1	forcing	force	VERB
ejpam-5753	345	2	parameters	parameter	NOUN
ejpam-5753	345	3	in	in	ADP
ejpam-5753	345	4	fully	fully	ADV
ejpam-5753	345	5	connected	connected	ADJ
ejpam-5753	345	6	cubic	cubic	ADJ
ejpam-5753	345	7	networks	network	NOUN
ejpam-5753	345	8	.	.	PUNCT
ejpam-5753	346	1	mathematics	mathematic	NOUN
ejpam-5753	346	2	,	,	PUNCT
ejpam-5753	346	3	10:1263	10:1263	NUM
ejpam-5753	346	4	,	,	PUNCT
ejpam-5753	346	5	2022	2022	NUM
ejpam-5753	346	6	.	.	PUNCT
ejpam-5753	347	1	[	[	X
ejpam-5753	347	2	19	19	NUM
ejpam-5753	347	3	]	]	PUNCT
ejpam-5753	347	4	z.	z.	PROPN
ejpam-5753	347	5	shao	shao	PROPN
ejpam-5753	347	6	,	,	PUNCT
ejpam-5753	347	7	s.	s.	PROPN
ejpam-5753	347	8	kosari	kosari	PROPN
ejpam-5753	347	9	,	,	PUNCT
ejpam-5753	347	10	y.	y.	PROPN
ejpam-5753	347	11	rao	rao	PROPN
ejpam-5753	347	12	,	,	PUNCT
ejpam-5753	347	13	h.	h.	PROPN
ejpam-5753	347	14	rashmanlou	rashmanlou	PROPN
ejpam-5753	347	15	,	,	PUNCT
ejpam-5753	347	16	and	and	CCONJ
ejpam-5753	347	17	f.	f.	PROPN
ejpam-5753	347	18	mofidnakhaei	mofidnakhaei	PROPN
ejpam-5753	347	19	.	.	PUNCT
ejpam-5753	348	1	new	new	ADJ
ejpam-5753	348	2	kind	kind	NOUN
ejpam-5753	348	3	of	of	ADP
ejpam-5753	348	4	vague	vague	ADJ
ejpam-5753	348	5	graphs	graph	NOUN
ejpam-5753	348	6	with	with	ADP
ejpam-5753	348	7	novel	novel	ADJ
ejpam-5753	348	8	application	application	NOUN
ejpam-5753	348	9	.	.	PUNCT
ejpam-5753	349	1	journal	journal	NOUN
ejpam-5753	349	2	of	of	ADP
ejpam-5753	349	3	multiple	multiple	ADV
ejpam-5753	349	4	-	-	PUNCT
ejpam-5753	349	5	valued	value	VERB
ejpam-5753	349	6	logic	logic	NOUN
ejpam-5753	349	7	and	and	CCONJ
ejpam-5753	349	8	soft	soft	ADJ
ejpam-5753	349	9	computing	computing	NOUN
ejpam-5753	349	10	,	,	PUNCT
ejpam-5753	349	11	40:323–342	40:323–342	PROPN
ejpam-5753	349	12	,	,	PUNCT
ejpam-5753	349	13	2024	2024	NUM
ejpam-5753	349	14	.	.	PUNCT
ejpam-5753	350	1	[	[	X
ejpam-5753	350	2	20	20	NUM
ejpam-5753	350	3	]	]	PUNCT
ejpam-5753	350	4	z.	z.	PROPN
ejpam-5753	350	5	shao	shao	PROPN
ejpam-5753	350	6	,	,	PUNCT
ejpam-5753	350	7	y.	y.	PROPN
ejpam-5753	350	8	rao	rao	PROPN
ejpam-5753	350	9	,	,	PUNCT
ejpam-5753	350	10	s.	s.	PROPN
ejpam-5753	350	11	kosari	kosari	PROPN
ejpam-5753	350	12	,	,	PUNCT
ejpam-5753	350	13	h.	h.	PROPN
ejpam-5753	350	14	rashmanlou	rashmanlou	PROPN
ejpam-5753	350	15	,	,	PUNCT
ejpam-5753	350	16	and	and	CCONJ
ejpam-5753	350	17	f.	f.	PROPN
ejpam-5753	350	18	mofidnakhaei	mofidnakhaei	PROPN
ejpam-5753	350	19	.	.	PUNCT
ejpam-5753	351	1	certain	certain	ADJ
ejpam-5753	351	2	notions	notion	NOUN
ejpam-5753	351	3	of	of	ADP
ejpam-5753	351	4	regularity	regularity	NOUN
ejpam-5753	351	5	in	in	ADP
ejpam-5753	351	6	vague	vague	ADJ
ejpam-5753	351	7	graphs	graph	NOUN
ejpam-5753	351	8	with	with	ADP
ejpam-5753	351	9	novel	novel	ADJ
ejpam-5753	351	10	application	application	NOUN
ejpam-5753	351	11	.	.	PUNCT
ejpam-5753	352	1	journal	journal	NOUN
ejpam-5753	352	2	of	of	ADP
ejpam-5753	352	3	multiple	multiple	ADV
ejpam-5753	352	4	-	-	PUNCT
ejpam-5753	352	5	valued	value	VERB
ejpam-5753	352	6	j.	j.	PROPN
ejpam-5753	352	7	anitha	anitha	PROPN
ejpam-5753	352	8	et	et	PROPN
ejpam-5753	352	9	al	al	PROPN
ejpam-5753	352	10	.	.	PUNCT
ejpam-5753	352	11	/	/	SYM
ejpam-5753	352	12	eur	eur	PROPN
ejpam-5753	352	13	.	.	PUNCT
ejpam-5753	353	1	j.	j.	PROPN
ejpam-5753	353	2	pure	pure	PROPN
ejpam-5753	353	3	appl	appl	PROPN
ejpam-5753	353	4	.	.	PROPN
ejpam-5753	353	5	math	math	PROPN
ejpam-5753	353	6	,	,	PUNCT
ejpam-5753	353	7	18	18	NUM
ejpam-5753	353	8	(	(	PUNCT
ejpam-5753	353	9	1	1	NUM
ejpam-5753	353	10	)	)	PUNCT
ejpam-5753	353	11	(	(	PUNCT
ejpam-5753	353	12	2025	2025	NUM
ejpam-5753	353	13	)	)	PUNCT
ejpam-5753	353	14	,	,	PUNCT
ejpam-5753	353	15	5753	5753	NUM
ejpam-5753	353	16	16	16	NUM
ejpam-5753	353	17	of	of	ADP
ejpam-5753	353	18	16	16	NUM
ejpam-5753	353	19	logic	logic	NOUN
ejpam-5753	353	20	and	and	CCONJ
ejpam-5753	353	21	soft	soft	ADJ
ejpam-5753	353	22	computing	computing	NOUN
ejpam-5753	353	23	,	,	PUNCT
ejpam-5753	353	24	2022	2022	NUM
ejpam-5753	353	25	.	.	PUNCT
ejpam-5753	354	1	[	[	X
ejpam-5753	354	2	21	21	NUM
ejpam-5753	354	3	]	]	X
ejpam-5753	354	4	g.j	g.j	PROPN
ejpam-5753	354	5	.	.	PROPN
ejpam-5753	355	1	xu	xu	PROPN
ejpam-5753	355	2	,	,	PUNCT
ejpam-5753	355	3	l.y	l.y	PROPN
ejpam-5753	355	4	.	.	PROPN
ejpam-5753	355	5	kang	kang	PROPN
ejpam-5753	355	6	,	,	PUNCT
ejpam-5753	355	7	e.f	e.f	PROPN
ejpam-5753	355	8	.	.	PROPN
ejpam-5753	355	9	shan	shan	PROPN
ejpam-5753	355	10	,	,	PUNCT
ejpam-5753	355	11	and	and	CCONJ
ejpam-5753	355	12	m.	m.	PROPN
ejpam-5753	355	13	zhao	zhao	PROPN
ejpam-5753	355	14	.	.	PUNCT
ejpam-5753	356	1	power	power	NOUN
ejpam-5753	356	2	domination	domination	NOUN
ejpam-5753	356	3	in	in	ADP
ejpam-5753	356	4	block	block	NOUN
ejpam-5753	356	5	graphs	graph	NOUN
ejpam-5753	356	6	.	.	PUNCT
ejpam-5753	357	1	theoretical	theoretical	ADJ
ejpam-5753	357	2	computer	computer	NOUN
ejpam-5753	357	3	science	science	NOUN
ejpam-5753	357	4	,	,	PUNCT
ejpam-5753	357	5	359:299–305	359:299–305	NUM
ejpam-5753	357	6	,	,	PUNCT
ejpam-5753	357	7	2006	2006	NUM
ejpam-5753	357	8	.	.	PUNCT
ejpam-5753	358	1	[	[	X
ejpam-5753	358	2	22	22	NUM
ejpam-5753	358	3	]	]	PUNCT
ejpam-5753	358	4	m.	m.	NOUN
ejpam-5753	358	5	zhao	zhao	PROPN
ejpam-5753	358	6	,	,	PUNCT
ejpam-5753	358	7	l.	l.	PROPN
ejpam-5753	358	8	kang	kang	PROPN
ejpam-5753	358	9	,	,	PUNCT
ejpam-5753	358	10	and	and	CCONJ
ejpam-5753	358	11	g.j	g.j	PROPN
ejpam-5753	358	12	.	.	PROPN
ejpam-5753	358	13	chang	chang	PROPN
ejpam-5753	358	14	.	.	PUNCT
ejpam-5753	359	1	power	power	NOUN
ejpam-5753	359	2	domination	domination	NOUN
ejpam-5753	359	3	in	in	ADP
ejpam-5753	359	4	grid	grid	NOUN
ejpam-5753	359	5	graphs	graph	NOUN
ejpam-5753	359	6	.	.	PUNCT
ejpam-5753	360	1	discrete	discrete	ADJ
ejpam-5753	360	2	mathematics	mathematic	NOUN
ejpam-5753	360	3	,	,	PUNCT
ejpam-5753	360	4	306:1812–1816	306:1812–1816	NUM
ejpam-5753	360	5	,	,	PUNCT
ejpam-5753	360	6	2006	2006	NUM
ejpam-5753	360	7	.	.	PUNCT