id	sid	tid	token	lemma	pos
ejpam-3715	1	1	european	european	PROPN
ejpam-3715	1	2	journal	journal	PROPN
ejpam-3715	1	3	of	of	ADP
ejpam-3715	1	4	pure	pure	ADJ
ejpam-3715	1	5	and	and	CCONJ
ejpam-3715	1	6	applied	apply	VERB
ejpam-3715	1	7	mathematics	mathematic	NOUN
ejpam-3715	1	8	vol	vol	NOUN
ejpam-3715	1	9	.	.	PUNCT
ejpam-3715	2	1	14	14	NUM
ejpam-3715	2	2	,	,	PUNCT
ejpam-3715	2	3	no	no	INTJ
ejpam-3715	2	4	.	.	NOUN
ejpam-3715	2	5	2	2	NUM
ejpam-3715	2	6	,	,	PUNCT
ejpam-3715	2	7	2021	2021	NUM
ejpam-3715	2	8	,	,	PUNCT
ejpam-3715	2	9	340	340	NUM
ejpam-3715	2	10	-	-	SYM
ejpam-3715	2	11	350	350	NUM
ejpam-3715	2	12	issn	issn	PROPN
ejpam-3715	2	13	1307	1307	NUM
ejpam-3715	2	14	-	-	SYM
ejpam-3715	2	15	5543	5543	NUM
ejpam-3715	2	16	–	–	PUNCT
ejpam-3715	2	17	ejpam.com	ejpam.com	X
ejpam-3715	2	18	published	publish	VERB
ejpam-3715	2	19	by	by	ADP
ejpam-3715	2	20	new	new	PROPN
ejpam-3715	2	21	york	york	PROPN
ejpam-3715	2	22	business	business	PROPN
ejpam-3715	2	23	global	global	ADJ
ejpam-3715	2	24	bounds	bound	NOUN
ejpam-3715	2	25	for	for	ADP
ejpam-3715	2	26	the	the	DET
ejpam-3715	2	27	topological	topological	ADJ
ejpam-3715	2	28	indices	index	NOUN
ejpam-3715	2	29	of	of	ADP
ejpam-3715	2	30	℘	℘	PROPN
ejpam-3715	2	31	graph	graph	NOUN
ejpam-3715	2	32	m.	m.	NOUN
ejpam-3715	2	33	manjunath	manjunath	PROPN
ejpam-3715	2	34	1,∗,v	1,∗,v	PROPN
ejpam-3715	2	35	.	.	PUNCT
ejpam-3715	3	1	lokesha1	lokesha1	PROPN
ejpam-3715	3	2	,	,	PUNCT
ejpam-3715	3	3	suvarna1	suvarna1	PROPN
ejpam-3715	3	4	,	,	PUNCT
ejpam-3715	3	5	sushmitha	sushmitha	PROPN
ejpam-3715	3	6	jain1	jain1	NOUN
ejpam-3715	3	7	1	1	NUM
ejpam-3715	3	8	department	department	NOUN
ejpam-3715	3	9	of	of	ADP
ejpam-3715	3	10	studies	study	NOUN
ejpam-3715	3	11	in	in	ADP
ejpam-3715	3	12	mathematics	mathematic	NOUN
ejpam-3715	3	13	,	,	PUNCT
ejpam-3715	3	14	v.	v.	ADP
ejpam-3715	3	15	s.	s.	PROPN
ejpam-3715	3	16	k.	k.	PROPN
ejpam-3715	3	17	university	university	PROPN
ejpam-3715	3	18	,	,	PUNCT
ejpam-3715	3	19	vinayaka	vinayaka	PROPN
ejpam-3715	3	20	nagara	nagara	PROPN
ejpam-3715	3	21	,	,	PUNCT
ejpam-3715	3	22	ballari	ballari	NOUN
ejpam-3715	3	23	,	,	PUNCT
ejpam-3715	3	24	india	india	PROPN
ejpam-3715	3	25	abstract	abstract	NOUN
ejpam-3715	3	26	.	.	PUNCT
ejpam-3715	4	1	topological	topological	ADJ
ejpam-3715	4	2	indices	index	NOUN
ejpam-3715	4	3	are	be	AUX
ejpam-3715	4	4	mathematical	mathematical	ADJ
ejpam-3715	4	5	measure	measure	NOUN
ejpam-3715	4	6	which	which	PRON
ejpam-3715	4	7	correlates	correlate	VERB
ejpam-3715	4	8	to	to	ADP
ejpam-3715	4	9	the	the	DET
ejpam-3715	4	10	chemical	chemical	NOUN
ejpam-3715	4	11	structures	structure	NOUN
ejpam-3715	4	12	of	of	ADP
ejpam-3715	4	13	any	any	DET
ejpam-3715	4	14	simple	simple	ADJ
ejpam-3715	4	15	finite	finite	NOUN
ejpam-3715	4	16	graph	graph	NOUN
ejpam-3715	4	17	.	.	PUNCT
ejpam-3715	5	1	these	these	PRON
ejpam-3715	5	2	are	be	AUX
ejpam-3715	5	3	used	use	VERB
ejpam-3715	5	4	for	for	ADP
ejpam-3715	5	5	quantitative	quantitative	ADJ
ejpam-3715	5	6	structure	structure	NOUN
ejpam-3715	5	7	-	-	PUNCT
ejpam-3715	5	8	activity	activity	NOUN
ejpam-3715	5	9	relationship	relationship	NOUN
ejpam-3715	5	10	(	(	PUNCT
ejpam-3715	5	11	qsar	qsar	NOUN
ejpam-3715	5	12	)	)	PUNCT
ejpam-3715	5	13	and	and	CCONJ
ejpam-3715	5	14	quantitative	quantitative	ADJ
ejpam-3715	5	15	structure	structure	NOUN
ejpam-3715	5	16	-	-	PUNCT
ejpam-3715	5	17	property	property	NOUN
ejpam-3715	5	18	relationship	relationship	NOUN
ejpam-3715	5	19	(	(	PUNCT
ejpam-3715	5	20	qspr	qspr	PROPN
ejpam-3715	5	21	)	)	PUNCT
ejpam-3715	5	22	.	.	PUNCT
ejpam-3715	6	1	in	in	ADP
ejpam-3715	6	2	this	this	DET
ejpam-3715	6	3	paper	paper	NOUN
ejpam-3715	6	4	,	,	PUNCT
ejpam-3715	6	5	we	we	PRON
ejpam-3715	6	6	define	define	VERB
ejpam-3715	6	7	operator	operator	NOUN
ejpam-3715	6	8	graph	graph	NOUN
ejpam-3715	6	9	namely	namely	ADV
ejpam-3715	6	10	,	,	PUNCT
ejpam-3715	6	11	℘	℘	NOUN
ejpam-3715	6	12	graph	graph	NOUN
ejpam-3715	6	13	and	and	CCONJ
ejpam-3715	6	14	structured	structured	ADJ
ejpam-3715	6	15	properties	property	NOUN
ejpam-3715	6	16	.	.	PUNCT
ejpam-3715	7	1	also	also	ADV
ejpam-3715	7	2	,	,	PUNCT
ejpam-3715	7	3	establish	establish	VERB
ejpam-3715	7	4	the	the	DET
ejpam-3715	7	5	lower	low	ADJ
ejpam-3715	7	6	and	and	CCONJ
ejpam-3715	7	7	upper	upper	ADJ
ejpam-3715	7	8	bounds	bound	NOUN
ejpam-3715	7	9	for	for	ADP
ejpam-3715	7	10	few	few	ADJ
ejpam-3715	7	11	topological	topological	ADJ
ejpam-3715	7	12	indices	index	NOUN
ejpam-3715	7	13	namely	namely	ADV
ejpam-3715	7	14	,	,	PUNCT
ejpam-3715	7	15	inverse	inverse	NOUN
ejpam-3715	7	16	sum	sum	NOUN
ejpam-3715	7	17	indeg	indeg	PROPN
ejpam-3715	7	18	index	index	NOUN
ejpam-3715	7	19	,	,	PUNCT
ejpam-3715	7	20	geometric	geometric	ADJ
ejpam-3715	7	21	-	-	PUNCT
ejpam-3715	7	22	arithmetic	arithmetic	ADJ
ejpam-3715	7	23	index	index	NOUN
ejpam-3715	7	24	,	,	PUNCT
ejpam-3715	7	25	atom	atom	NOUN
ejpam-3715	7	26	-	-	PUNCT
ejpam-3715	7	27	bond	bond	NOUN
ejpam-3715	7	28	connectivity	connectivity	NOUN
ejpam-3715	7	29	index	index	NOUN
ejpam-3715	7	30	,	,	PUNCT
ejpam-3715	7	31	first	first	PROPN
ejpam-3715	7	32	zagreb	zagreb	PROPN
ejpam-3715	7	33	index	index	NOUN
ejpam-3715	7	34	and	and	CCONJ
ejpam-3715	7	35	first	first	ADV
ejpam-3715	7	36	reformulated	reformulate	VERB
ejpam-3715	7	37	zagreb	zagreb	PROPN
ejpam-3715	7	38	index	index	NOUN
ejpam-3715	7	39	of	of	ADP
ejpam-3715	7	40	℘-graph	℘-graph	NOUN
ejpam-3715	7	41	.	.	PUNCT
ejpam-3715	8	1	2020	2020	NUM
ejpam-3715	8	2	mathematics	mathematic	NOUN
ejpam-3715	8	3	subject	subject	NOUN
ejpam-3715	8	4	classifications	classification	NOUN
ejpam-3715	8	5	:	:	PUNCT
ejpam-3715	8	6	05c90	05c90	NUM
ejpam-3715	8	7	,	,	PUNCT
ejpam-3715	8	8	05c12	05c12	NOUN
ejpam-3715	8	9	key	key	ADJ
ejpam-3715	8	10	words	word	NOUN
ejpam-3715	8	11	and	and	CCONJ
ejpam-3715	8	12	phrases	phrase	NOUN
ejpam-3715	8	13	:	:	PUNCT
ejpam-3715	8	14	jump	jump	NOUN
ejpam-3715	8	15	graph	graph	NOUN
ejpam-3715	8	16	,	,	PUNCT
ejpam-3715	8	17	corona	corona	NOUN
ejpam-3715	8	18	product	product	NOUN
ejpam-3715	8	19	and	and	CCONJ
ejpam-3715	8	20	topological	topological	ADJ
ejpam-3715	8	21	index	index	NOUN
ejpam-3715	8	22	.	.	PUNCT
ejpam-3715	9	1	dedicated	dedicate	VERB
ejpam-3715	9	2	to	to	ADP
ejpam-3715	9	3	professor	professor	PROPN
ejpam-3715	9	4	h.	h.	PROPN
ejpam-3715	9	5	m.	m.	PROPN
ejpam-3715	9	6	srivastava	srivastava	PROPN
ejpam-3715	9	7	on	on	ADP
ejpam-3715	9	8	the	the	DET
ejpam-3715	9	9	occasion	occasion	NOUN
ejpam-3715	9	10	of	of	ADP
ejpam-3715	9	11	his	his	PRON
ejpam-3715	9	12	80th	80th	ADJ
ejpam-3715	9	13	birth	birth	NOUN
ejpam-3715	9	14	anniversary	anniversary	NOUN
ejpam-3715	9	15	1	1	NUM
ejpam-3715	9	16	.	.	PUNCT
ejpam-3715	10	1	introduction	introduction	NOUN
ejpam-3715	10	2	the	the	DET
ejpam-3715	10	3	topological	topological	ADJ
ejpam-3715	10	4	index	index	NOUN
ejpam-3715	10	5	thought	thought	NOUN
ejpam-3715	10	6	came	come	VERB
ejpam-3715	10	7	out	out	ADP
ejpam-3715	10	8	in	in	ADP
ejpam-3715	10	9	1947	1947	NUM
ejpam-3715	10	10	from	from	ADP
ejpam-3715	10	11	work	work	NOUN
ejpam-3715	10	12	done	do	VERB
ejpam-3715	10	13	by	by	ADP
ejpam-3715	10	14	harold	harold	PROPN
ejpam-3715	10	15	wiener	wiener	NOUN
ejpam-3715	10	16	while	while	SCONJ
ejpam-3715	10	17	he	he	PRON
ejpam-3715	10	18	was	be	AUX
ejpam-3715	10	19	working	work	VERB
ejpam-3715	10	20	on	on	ADP
ejpam-3715	10	21	boiling	boiling	NOUN
ejpam-3715	10	22	point	point	NOUN
ejpam-3715	10	23	of	of	ADP
ejpam-3715	10	24	paraffin	paraffin	NOUN
ejpam-3715	10	25	and	and	CCONJ
ejpam-3715	10	26	he	he	PRON
ejpam-3715	10	27	named	name	VERB
ejpam-3715	10	28	this	this	DET
ejpam-3715	10	29	index	index	NOUN
ejpam-3715	10	30	as	as	ADP
ejpam-3715	10	31	path	path	NOUN
ejpam-3715	10	32	number	number	NOUN
ejpam-3715	10	33	,	,	PUNCT
ejpam-3715	10	34	now	now	ADV
ejpam-3715	10	35	it	it	PRON
ejpam-3715	10	36	is	be	AUX
ejpam-3715	10	37	renamed	rename	VERB
ejpam-3715	10	38	as	as	ADP
ejpam-3715	10	39	wiener	wiener	NOUN
ejpam-3715	10	40	index	index	NOUN
ejpam-3715	10	41	[	[	X
ejpam-3715	10	42	3	3	NUM
ejpam-3715	10	43	]	]	PUNCT
ejpam-3715	10	44	.	.	PUNCT
ejpam-3715	11	1	since	since	SCONJ
ejpam-3715	11	2	then	then	ADV
ejpam-3715	11	3	many	many	ADJ
ejpam-3715	11	4	other	other	ADJ
ejpam-3715	11	5	topological	topological	ADJ
ejpam-3715	11	6	indices	index	NOUN
ejpam-3715	11	7	have	have	AUX
ejpam-3715	11	8	been	be	AUX
ejpam-3715	11	9	defined	define	VERB
ejpam-3715	11	10	and	and	CCONJ
ejpam-3715	11	11	studied	study	VERB
ejpam-3715	11	12	.	.	PUNCT
ejpam-3715	12	1	topological	topological	ADJ
ejpam-3715	12	2	indices	index	NOUN
ejpam-3715	12	3	are	be	AUX
ejpam-3715	12	4	numerical	numerical	ADJ
ejpam-3715	12	5	invariants	invariant	NOUN
ejpam-3715	12	6	that	that	PRON
ejpam-3715	12	7	are	be	AUX
ejpam-3715	12	8	associated	associate	VERB
ejpam-3715	12	9	with	with	ADP
ejpam-3715	12	10	the	the	DET
ejpam-3715	12	11	topological	topological	ADJ
ejpam-3715	12	12	characterization	characterization	NOUN
ejpam-3715	12	13	of	of	ADP
ejpam-3715	12	14	a	a	DET
ejpam-3715	12	15	compound	compound	NOUN
ejpam-3715	12	16	.	.	PUNCT
ejpam-3715	13	1	topological	topological	ADJ
ejpam-3715	13	2	indices	index	NOUN
ejpam-3715	13	3	are	be	AUX
ejpam-3715	13	4	closely	closely	ADV
ejpam-3715	13	5	related	relate	VERB
ejpam-3715	13	6	to	to	ADP
ejpam-3715	13	7	the	the	DET
ejpam-3715	13	8	toxicological	toxicological	ADJ
ejpam-3715	13	9	,	,	PUNCT
ejpam-3715	13	10	physicochemical	physicochemical	ADJ
ejpam-3715	13	11	,	,	PUNCT
ejpam-3715	13	12	pharmacological	pharmacological	ADJ
ejpam-3715	13	13	properties	property	NOUN
ejpam-3715	13	14	of	of	ADP
ejpam-3715	13	15	a	a	DET
ejpam-3715	13	16	chemical	chemical	NOUN
ejpam-3715	13	17	compound	compound	NOUN
ejpam-3715	13	18	.	.	PUNCT
ejpam-3715	14	1	the	the	DET
ejpam-3715	14	2	significance	significance	NOUN
ejpam-3715	14	3	of	of	ADP
ejpam-3715	14	4	topological	topological	ADJ
ejpam-3715	14	5	indices	index	NOUN
ejpam-3715	14	6	is	be	AUX
ejpam-3715	14	7	mainly	mainly	ADV
ejpam-3715	14	8	related	relate	VERB
ejpam-3715	14	9	to	to	ADP
ejpam-3715	14	10	their	their	PRON
ejpam-3715	14	11	utilizing	utilizing	NOUN
ejpam-3715	14	12	in	in	ADP
ejpam-3715	14	13	quantitative	quantitative	ADJ
ejpam-3715	14	14	structure	structure	NOUN
ejpam-3715	14	15	-	-	PUNCT
ejpam-3715	14	16	activity	activity	NOUN
ejpam-3715	14	17	relationship	relationship	NOUN
ejpam-3715	14	18	(	(	PUNCT
ejpam-3715	14	19	qsar	qsar	NOUN
ejpam-3715	14	20	)	)	PUNCT
ejpam-3715	14	21	and	and	CCONJ
ejpam-3715	14	22	quantitative	quantitative	ADJ
ejpam-3715	14	23	structure	structure	NOUN
ejpam-3715	14	24	-	-	PUNCT
ejpam-3715	14	25	property	property	NOUN
ejpam-3715	14	26	relationship	relationship	NOUN
ejpam-3715	14	27	(	(	PUNCT
ejpam-3715	14	28	qspr	qspr	PROPN
ejpam-3715	14	29	)	)	PUNCT
ejpam-3715	14	30	.	.	PUNCT
ejpam-3715	15	1	now	now	ADV
ejpam-3715	15	2	we	we	PRON
ejpam-3715	15	3	recall	recall	VERB
ejpam-3715	15	4	some	some	DET
ejpam-3715	15	5	well	well	ADV
ejpam-3715	15	6	known	know	VERB
ejpam-3715	15	7	topological	topological	ADJ
ejpam-3715	15	8	indices	index	NOUN
ejpam-3715	15	9	.	.	PUNCT
ejpam-3715	16	1	in	in	ADP
ejpam-3715	16	2	2010	2010	NUM
ejpam-3715	16	3	,	,	PUNCT
ejpam-3715	16	4	vukicevic	vukicevic	NOUN
ejpam-3715	16	5	and	and	CCONJ
ejpam-3715	16	6	gasperov	gasperov	NOUN
ejpam-3715	16	7	[	[	X
ejpam-3715	16	8	8	8	NUM
ejpam-3715	16	9	,	,	PUNCT
ejpam-3715	16	10	10	10	NUM
ejpam-3715	16	11	]	]	PUNCT
ejpam-3715	16	12	introduced	introduce	VERB
ejpam-3715	16	13	bond	bond	NOUN
ejpam-3715	16	14	-	-	PUNCT
ejpam-3715	16	15	additive	additive	ADJ
ejpam-3715	16	16	topological	topological	ADJ
ejpam-3715	16	17	index	index	NOUN
ejpam-3715	16	18	namely	namely	ADV
ejpam-3715	16	19	,	,	PUNCT
ejpam-3715	16	20	inverse	inverse	NOUN
ejpam-3715	16	21	sum	sum	NOUN
ejpam-3715	16	22	indeg	indeg	NOUN
ejpam-3715	16	23	index	index	NOUN
ejpam-3715	16	24	as	as	ADP
ejpam-3715	16	25	a	a	DET
ejpam-3715	16	26	significant	significant	ADJ
ejpam-3715	16	27	predictor	predictor	NOUN
ejpam-3715	16	28	of	of	ADP
ejpam-3715	16	29	total	total	ADJ
ejpam-3715	16	30	surface	surface	NOUN
ejpam-3715	16	31	area	area	NOUN
ejpam-3715	16	32	of	of	ADP
ejpam-3715	16	33	octane	octane	NOUN
ejpam-3715	16	34	isomers	isomer	NOUN
ejpam-3715	16	35	and	and	CCONJ
ejpam-3715	16	36	is	be	AUX
ejpam-3715	16	37	defined	define	VERB
ejpam-3715	16	38	as	as	ADP
ejpam-3715	16	39	∗corresponding	∗corresponde	VERB
ejpam-3715	16	40	author	author	NOUN
ejpam-3715	16	41	.	.	PUNCT
ejpam-3715	17	1	doi	doi	NOUN
ejpam-3715	17	2	:	:	PUNCT
ejpam-3715	17	3	https://doi.org/10.29020/nybg.ejpam.v14i2.3715	https://doi.org/10.29020/nybg.ejpam.v14i2.3715	NOUN
ejpam-3715	17	4	email	email	NOUN
ejpam-3715	17	5	addresses	address	NOUN
ejpam-3715	17	6	:	:	PUNCT
ejpam-3715	17	7	manju3479@gmail.com	manju3479@gmail.com	X
ejpam-3715	17	8	(	(	PUNCT
ejpam-3715	17	9	m.	m.	PROPN
ejpam-3715	17	10	manjunath	manjunath	PROPN
ejpam-3715	17	11	)	)	PUNCT
ejpam-3715	17	12	,	,	PUNCT
ejpam-3715	17	13	v.lokesha@gmail.com	v.lokesha@gmail.com	X
ejpam-3715	17	14	(	(	PUNCT
ejpam-3715	17	15	v.	v.	ADP
ejpam-3715	17	16	lokesha	lokesha	PROPN
ejpam-3715	17	17	)	)	PUNCT
ejpam-3715	17	18	,	,	PUNCT
ejpam-3715	17	19	suvarnasalimath17@gmail.com	suvarnasalimath17@gmail.com	X
ejpam-3715	17	20	(	(	PUNCT
ejpam-3715	17	21	suvarna	suvarna	NOUN
ejpam-3715	17	22	)	)	PUNCT
ejpam-3715	17	23	,	,	PUNCT
ejpam-3715	17	24	sushmithajain9@gmail.com	sushmithajain9@gmail.com	X
ejpam-3715	17	25	(	(	PUNCT
ejpam-3715	17	26	s.	s.	PROPN
ejpam-3715	17	27	jain	jain	PROPN
ejpam-3715	17	28	)	)	PUNCT
ejpam-3715	17	29	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3715	18	1	340	340	NUM
ejpam-3715	18	2	c	c	AUX
ejpam-3715	18	3	©	©	PROPN
ejpam-3715	18	4	2021	2021	NUM
ejpam-3715	18	5	ejpam	ejpam	VERB
ejpam-3715	18	6	all	all	DET
ejpam-3715	18	7	rights	right	NOUN
ejpam-3715	18	8	reserved	reserve	VERB
ejpam-3715	18	9	.	.	PUNCT
ejpam-3715	19	1	m.	m.	PROPN
ejpam-3715	19	2	manjunath	manjunath	PROPN
ejpam-3715	19	3	,	,	PUNCT
ejpam-3715	19	4	v.	v.	ADP
ejpam-3715	19	5	lokesha	lokesha	PROPN
ejpam-3715	19	6	,	,	PUNCT
ejpam-3715	19	7	suvarna	suvarna	NOUN
ejpam-3715	19	8	,	,	PUNCT
ejpam-3715	19	9	s.	s.	PROPN
ejpam-3715	19	10	jain	jain	PROPN
ejpam-3715	19	11	/	/	SYM
ejpam-3715	19	12	eur	eur	PROPN
ejpam-3715	19	13	.	.	PUNCT
ejpam-3715	20	1	j.	j.	PROPN
ejpam-3715	20	2	pure	pure	PROPN
ejpam-3715	20	3	appl	appl	PROPN
ejpam-3715	20	4	.	.	PROPN
ejpam-3715	20	5	math	math	PROPN
ejpam-3715	20	6	,	,	PUNCT
ejpam-3715	20	7	14	14	NUM
ejpam-3715	20	8	(	(	PUNCT
ejpam-3715	20	9	2	2	NUM
ejpam-3715	20	10	)	)	PUNCT
ejpam-3715	20	11	(	(	PUNCT
ejpam-3715	20	12	2021	2021	NUM
ejpam-3715	20	13	)	)	PUNCT
ejpam-3715	20	14	,	,	PUNCT
ejpam-3715	20	15	340	340	NUM
ejpam-3715	20	16	-	-	SYM
ejpam-3715	20	17	350	350	NUM
ejpam-3715	20	18	341	341	NUM
ejpam-3715	20	19	isi[g	isi[g	NOUN
ejpam-3715	20	20	]	]	X
ejpam-3715	21	1	=	=	PUNCT
ejpam-3715	21	2	∑	∑	PUNCT
ejpam-3715	21	3	uv∈e[g	uv∈e[g	ADJ
ejpam-3715	21	4	]	]	X
ejpam-3715	21	5	[	[	PUNCT
ejpam-3715	21	6	dudv	dudv	NOUN
ejpam-3715	21	7	du+dv	du+dv	X
ejpam-3715	21	8	]	]	PUNCT
ejpam-3715	21	9	d.	d.	PROPN
ejpam-3715	21	10	vukicevic	vukicevic	PROPN
ejpam-3715	21	11	and	and	CCONJ
ejpam-3715	21	12	b.	b.	PROPN
ejpam-3715	21	13	furtula	furtula	PROPN
ejpam-3715	21	14	(	(	PUNCT
ejpam-3715	21	15	2009	2009	NUM
ejpam-3715	21	16	)	)	PUNCT
ejpam-3715	22	1	[	[	X
ejpam-3715	22	2	9	9	NUM
ejpam-3715	22	3	]	]	PUNCT
ejpam-3715	22	4	introduced	introduce	VERB
ejpam-3715	22	5	the	the	DET
ejpam-3715	22	6	geometric	geometric	ADJ
ejpam-3715	22	7	-	-	PUNCT
ejpam-3715	22	8	arithmetic	arithmetic	ADJ
ejpam-3715	22	9	index	index	NOUN
ejpam-3715	22	10	and	and	CCONJ
ejpam-3715	22	11	is	be	AUX
ejpam-3715	22	12	defined	define	VERB
ejpam-3715	22	13	as	as	ADP
ejpam-3715	22	14	ga[g	ga[g	NOUN
ejpam-3715	22	15	]	]	PUNCT
ejpam-3715	22	16	=	=	PUNCT
ejpam-3715	22	17	∑	∑	PUNCT
ejpam-3715	22	18	uv∈e[g	uv∈e[g	ADJ
ejpam-3715	22	19	]	]	X
ejpam-3715	22	20	[	[	PUNCT
ejpam-3715	22	21	2	2	NUM
ejpam-3715	22	22	√	√	NUM
ejpam-3715	22	23	dudv	dudv	NOUN
ejpam-3715	22	24	du+dv	du+dv	X
ejpam-3715	22	25	]	]	PUNCT
ejpam-3715	22	26	e.	e.	PROPN
ejpam-3715	22	27	estrada	estrada	PROPN
ejpam-3715	22	28	and	and	CCONJ
ejpam-3715	22	29	et	et	PROPN
ejpam-3715	22	30	al	al	PROPN
ejpam-3715	22	31	,	,	PUNCT
ejpam-3715	22	32	(	(	PUNCT
ejpam-3715	22	33	1990	1990	NUM
ejpam-3715	22	34	)	)	PUNCT
ejpam-3715	23	1	[	[	X
ejpam-3715	23	2	1	1	X
ejpam-3715	23	3	]	]	PUNCT
ejpam-3715	23	4	introduced	introduce	VERB
ejpam-3715	23	5	the	the	DET
ejpam-3715	23	6	atom	atom	NOUN
ejpam-3715	23	7	bond	bond	NOUN
ejpam-3715	23	8	connectivity	connectivity	NOUN
ejpam-3715	23	9	index	index	NOUN
ejpam-3715	23	10	and	and	CCONJ
ejpam-3715	23	11	is	be	AUX
ejpam-3715	23	12	defined	define	VERB
ejpam-3715	23	13	as	as	ADP
ejpam-3715	23	14	abc[g	abc[g	NOUN
ejpam-3715	23	15	]	]	PUNCT
ejpam-3715	23	16	=	=	SYM
ejpam-3715	23	17	∑	∑	PUNCT
ejpam-3715	23	18	uv∈e[g	uv∈e[g	ADJ
ejpam-3715	23	19	]	]	X
ejpam-3715	24	1	[	[	X
ejpam-3715	24	2	√	√	ADP
ejpam-3715	24	3	du+dv−2	du+dv−2	NOUN
ejpam-3715	24	4	dudv	dudv	NOUN
ejpam-3715	24	5	]	]	PUNCT
ejpam-3715	24	6	it	it	PRON
ejpam-3715	24	7	display	display	VERB
ejpam-3715	24	8	an	an	DET
ejpam-3715	24	9	excellent	excellent	ADJ
ejpam-3715	24	10	correlation	correlation	NOUN
ejpam-3715	24	11	with	with	ADP
ejpam-3715	24	12	the	the	DET
ejpam-3715	24	13	heat	heat	NOUN
ejpam-3715	24	14	formation	formation	NOUN
ejpam-3715	24	15	of	of	ADP
ejpam-3715	24	16	alkane	alkane	NOUN
ejpam-3715	24	17	.	.	PUNCT
ejpam-3715	25	1	gutman	gutman	NOUN
ejpam-3715	25	2	.	.	PUNCT
ejpam-3715	26	1	i	i	PRON
ejpam-3715	26	2	and	and	CCONJ
ejpam-3715	26	3	trinajstic	trinajstic	ADJ
ejpam-3715	26	4	.	.	PUNCT
ejpam-3715	27	1	n	n	PROPN
ejpam-3715	27	2	(	(	PUNCT
ejpam-3715	27	3	1972	1972	NUM
ejpam-3715	27	4	)	)	PUNCT
ejpam-3715	28	1	[	[	X
ejpam-3715	28	2	2	2	X
ejpam-3715	28	3	]	]	PUNCT
ejpam-3715	28	4	introduced	introduce	VERB
ejpam-3715	28	5	the	the	DET
ejpam-3715	28	6	first	first	ADJ
ejpam-3715	28	7	zagreb	zagreb	PROPN
ejpam-3715	28	8	index	index	NOUN
ejpam-3715	28	9	and	and	CCONJ
ejpam-3715	28	10	is	be	AUX
ejpam-3715	28	11	defined	define	VERB
ejpam-3715	28	12	as	as	ADP
ejpam-3715	28	13	m1[g	m1[g	NOUN
ejpam-3715	28	14	]	]	PUNCT
ejpam-3715	28	15	=	=	PUNCT
ejpam-3715	28	16	∑	∑	PUNCT
ejpam-3715	28	17	uv∈e[g][du	uv∈e[g][du	PROPN
ejpam-3715	28	18	+	+	CCONJ
ejpam-3715	28	19	dv	dv	PROPN
ejpam-3715	28	20	]	]	X
ejpam-3715	28	21	a.	a.	PROPN
ejpam-3715	28	22	milicevic	milicevic	PROPN
ejpam-3715	28	23	et	et	PROPN
ejpam-3715	28	24	al	al	PROPN
ejpam-3715	28	25	.	.	PROPN
ejpam-3715	29	1	(	(	PUNCT
ejpam-3715	29	2	2004	2004	NUM
ejpam-3715	29	3	)	)	PUNCT
ejpam-3715	30	1	[	[	X
ejpam-3715	30	2	7	7	X
ejpam-3715	30	3	]	]	PUNCT
ejpam-3715	30	4	introduced	introduce	VERB
ejpam-3715	30	5	the	the	DET
ejpam-3715	30	6	first	first	ADJ
ejpam-3715	30	7	reformulated	reformulate	VERB
ejpam-3715	30	8	zagreb	zagreb	PROPN
ejpam-3715	30	9	index	index	NOUN
ejpam-3715	30	10	and	and	CCONJ
ejpam-3715	30	11	is	be	AUX
ejpam-3715	30	12	defined	define	VERB
ejpam-3715	30	13	as	as	ADP
ejpam-3715	30	14	em1[g	em1[g	PROPN
ejpam-3715	30	15	]	]	X
ejpam-3715	30	16	=	=	SYM
ejpam-3715	30	17	∑	∑	PUNCT
ejpam-3715	30	18	uv∈e[g][du	uv∈e[g][du	PROPN
ejpam-3715	30	19	+	+	PROPN
ejpam-3715	30	20	dv	dv	PROPN
ejpam-3715	30	21	−	−	PROPN
ejpam-3715	30	22	2]2	2]2	NUM
ejpam-3715	30	23	definition	definition	NOUN
ejpam-3715	30	24	1.1	1.1	NUM
ejpam-3715	30	25	.	.	PUNCT
ejpam-3715	31	1	[	[	X
ejpam-3715	31	2	4	4	X
ejpam-3715	31	3	]	]	X
ejpam-3715	31	4	the	the	DET
ejpam-3715	31	5	jump	jump	NOUN
ejpam-3715	31	6	-	-	PUNCT
ejpam-3715	31	7	graph	graph	NOUN
ejpam-3715	31	8	j(g	j(g	NOUN
ejpam-3715	31	9	)	)	PUNCT
ejpam-3715	31	10	of	of	ADP
ejpam-3715	31	11	a	a	DET
ejpam-3715	31	12	graph	graph	NOUN
ejpam-3715	31	13	g	g	NOUN
ejpam-3715	31	14	is	be	AUX
ejpam-3715	31	15	the	the	DET
ejpam-3715	31	16	graph	graph	NOUN
ejpam-3715	31	17	defined	define	VERB
ejpam-3715	31	18	on	on	ADP
ejpam-3715	31	19	e(g	e(g	PROPN
ejpam-3715	31	20	)	)	PUNCT
ejpam-3715	31	21	where	where	SCONJ
ejpam-3715	31	22	two	two	NUM
ejpam-3715	31	23	vertices	vertex	NOUN
ejpam-3715	31	24	are	be	AUX
ejpam-3715	31	25	adjacent	adjacent	ADJ
ejpam-3715	31	26	if	if	SCONJ
ejpam-3715	31	27	and	and	CCONJ
ejpam-3715	31	28	only	only	ADV
ejpam-3715	31	29	if	if	SCONJ
ejpam-3715	31	30	their	their	PRON
ejpam-3715	31	31	corresponding	corresponding	ADJ
ejpam-3715	31	32	edges	edge	NOUN
ejpam-3715	31	33	are	be	AUX
ejpam-3715	31	34	not	not	PART
ejpam-3715	31	35	adjacent	adjacent	ADJ
ejpam-3715	31	36	in	in	ADP
ejpam-3715	31	37	g.	g.	PROPN
ejpam-3715	31	38	definition	definition	NOUN
ejpam-3715	31	39	1.2	1.2	NUM
ejpam-3715	31	40	.	.	PUNCT
ejpam-3715	32	1	[	[	X
ejpam-3715	32	2	6	6	NUM
ejpam-3715	32	3	]	]	PUNCT
ejpam-3715	32	4	the	the	DET
ejpam-3715	32	5	corona	corona	NOUN
ejpam-3715	32	6	product	product	NOUN
ejpam-3715	32	7	of	of	ADP
ejpam-3715	32	8	g	g	PROPN
ejpam-3715	32	9	�	�	PROPN
ejpam-3715	32	10	h	h	NOUN
ejpam-3715	32	11	of	of	ADP
ejpam-3715	32	12	these	these	DET
ejpam-3715	32	13	two	two	NUM
ejpam-3715	32	14	graphs	graph	NOUN
ejpam-3715	32	15	is	be	AUX
ejpam-3715	32	16	obtained	obtain	VERB
ejpam-3715	32	17	by	by	ADP
ejpam-3715	32	18	taking	take	VERB
ejpam-3715	32	19	one	one	NUM
ejpam-3715	32	20	copy	copy	NOUN
ejpam-3715	32	21	of	of	ADP
ejpam-3715	32	22	g	g	PROPN
ejpam-3715	32	23	and	and	CCONJ
ejpam-3715	32	24	n1	n1	PROPN
ejpam-3715	32	25	copies	copy	NOUN
ejpam-3715	32	26	of	of	ADP
ejpam-3715	32	27	h	h	NOUN
ejpam-3715	32	28	and	and	CCONJ
ejpam-3715	32	29	by	by	ADP
ejpam-3715	32	30	joining	join	VERB
ejpam-3715	32	31	each	each	DET
ejpam-3715	32	32	vertex	vertex	NOUN
ejpam-3715	32	33	of	of	ADP
ejpam-3715	32	34	the	the	DET
ejpam-3715	32	35	ith	ith	PROPN
ejpam-3715	32	36	copy	copy	NOUN
ejpam-3715	32	37	of	of	ADP
ejpam-3715	32	38	h	h	NOUN
ejpam-3715	32	39	to	to	ADP
ejpam-3715	32	40	the	the	DET
ejpam-3715	32	41	ith	ith	PROPN
ejpam-3715	32	42	vertex	vertex	NOUN
ejpam-3715	32	43	of	of	ADP
ejpam-3715	32	44	g	g	NOUN
ejpam-3715	32	45	,	,	PUNCT
ejpam-3715	32	46	where	where	SCONJ
ejpam-3715	32	47	1	1	NUM
ejpam-3715	32	48	≤	≤	NUM
ejpam-3715	32	49	i	i	NOUN
ejpam-3715	32	50	≤	≤	ADJ
ejpam-3715	32	51	n1	n1	NOUN
ejpam-3715	32	52	.	.	PUNCT
ejpam-3715	33	1	in	in	ADP
ejpam-3715	33	2	order	order	NOUN
ejpam-3715	33	3	to	to	PART
ejpam-3715	33	4	study	study	VERB
ejpam-3715	33	5	bounds	bound	NOUN
ejpam-3715	33	6	on	on	ADP
ejpam-3715	33	7	℘-graph	℘-graph	NOUN
ejpam-3715	33	8	,	,	PUNCT
ejpam-3715	33	9	we	we	PRON
ejpam-3715	33	10	divide	divide	VERB
ejpam-3715	33	11	the	the	DET
ejpam-3715	33	12	paper	paper	NOUN
ejpam-3715	33	13	into	into	ADP
ejpam-3715	33	14	few	few	ADJ
ejpam-3715	33	15	sections	section	NOUN
ejpam-3715	33	16	.	.	PUNCT
ejpam-3715	34	1	the	the	DET
ejpam-3715	34	2	section	section	NOUN
ejpam-3715	34	3	one	one	NOUN
ejpam-3715	34	4	contains	contain	VERB
ejpam-3715	34	5	preliminaries	preliminary	NOUN
ejpam-3715	34	6	,	,	PUNCT
ejpam-3715	34	7	definitions	definition	NOUN
ejpam-3715	34	8	of	of	ADP
ejpam-3715	34	9	well	well	ADV
ejpam-3715	34	10	known	know	VERB
ejpam-3715	34	11	topological	topological	ADJ
ejpam-3715	34	12	indices	index	NOUN
ejpam-3715	34	13	which	which	PRON
ejpam-3715	34	14	are	be	AUX
ejpam-3715	34	15	useful	useful	ADJ
ejpam-3715	34	16	to	to	PART
ejpam-3715	34	17	prove	prove	VERB
ejpam-3715	34	18	our	our	PRON
ejpam-3715	34	19	main	main	ADJ
ejpam-3715	34	20	results	result	NOUN
ejpam-3715	34	21	.	.	PUNCT
ejpam-3715	35	1	section	section	NOUN
ejpam-3715	35	2	two	two	NUM
ejpam-3715	35	3	deals	deal	NOUN
ejpam-3715	35	4	with	with	ADP
ejpam-3715	35	5	new	new	ADJ
ejpam-3715	35	6	class	class	NOUN
ejpam-3715	35	7	of	of	ADP
ejpam-3715	35	8	operator	operator	NOUN
ejpam-3715	35	9	graph	graph	NOUN
ejpam-3715	35	10	with	with	ADP
ejpam-3715	35	11	their	their	PRON
ejpam-3715	35	12	properties	property	NOUN
ejpam-3715	35	13	.	.	PUNCT
ejpam-3715	36	1	section	section	NOUN
ejpam-3715	36	2	three	three	NUM
ejpam-3715	36	3	consisting	consist	VERB
ejpam-3715	36	4	of	of	ADP
ejpam-3715	36	5	results	result	NOUN
ejpam-3715	36	6	related	relate	VERB
ejpam-3715	36	7	to	to	ADP
ejpam-3715	36	8	bounds	bound	NOUN
ejpam-3715	36	9	for	for	ADP
ejpam-3715	36	10	defined	define	VERB
ejpam-3715	36	11	class	class	NOUN
ejpam-3715	36	12	of	of	ADP
ejpam-3715	36	13	graph	graph	NOUN
ejpam-3715	36	14	using	use	VERB
ejpam-3715	36	15	recalled	recall	VERB
ejpam-3715	36	16	topological	topological	ADJ
ejpam-3715	36	17	indices	index	NOUN
ejpam-3715	36	18	.	.	PUNCT
ejpam-3715	37	1	paper	paper	NOUN
ejpam-3715	37	2	conclude	conclude	VERB
ejpam-3715	37	3	with	with	ADP
ejpam-3715	37	4	the	the	DET
ejpam-3715	37	5	conclusion	conclusion	NOUN
ejpam-3715	37	6	and	and	CCONJ
ejpam-3715	37	7	references	reference	NOUN
ejpam-3715	37	8	.	.	PUNCT
ejpam-3715	38	1	let	let	VERB
ejpam-3715	38	2	g	g	NOUN
ejpam-3715	39	1	and	and	CCONJ
ejpam-3715	39	2	h	h	NOUN
ejpam-3715	39	3	be	be	AUX
ejpam-3715	39	4	graphs	graph	NOUN
ejpam-3715	39	5	with	with	ADP
ejpam-3715	39	6	vertex	vertex	NOUN
ejpam-3715	39	7	sets	set	NOUN
ejpam-3715	39	8	v	v	ADP
ejpam-3715	39	9	(	(	PUNCT
ejpam-3715	39	10	g	g	NOUN
ejpam-3715	39	11	)	)	PUNCT
ejpam-3715	39	12	,	,	PUNCT
ejpam-3715	39	13	v	v	X
ejpam-3715	39	14	(	(	PUNCT
ejpam-3715	39	15	h	h	NOUN
ejpam-3715	39	16	)	)	PUNCT
ejpam-3715	39	17	and	and	CCONJ
ejpam-3715	39	18	edge	edge	NOUN
ejpam-3715	39	19	sets	set	NOUN
ejpam-3715	39	20	e(g	e(g	PROPN
ejpam-3715	39	21	)	)	PUNCT
ejpam-3715	39	22	,	,	PUNCT
ejpam-3715	39	23	e(h	e(h	PROPN
ejpam-3715	39	24	)	)	PUNCT
ejpam-3715	39	25	respectively	respectively	ADV
ejpam-3715	39	26	.	.	PUNCT
ejpam-3715	40	1	the	the	DET
ejpam-3715	40	2	degree	degree	NOUN
ejpam-3715	40	3	of	of	ADP
ejpam-3715	40	4	vertex	vertex	NOUN
ejpam-3715	40	5	v	v	NOUN
ejpam-3715	40	6	is	be	AUX
ejpam-3715	40	7	the	the	DET
ejpam-3715	40	8	number	number	NOUN
ejpam-3715	40	9	of	of	ADP
ejpam-3715	40	10	vertices	vertex	NOUN
ejpam-3715	40	11	adjacent	adjacent	ADJ
ejpam-3715	40	12	to	to	ADP
ejpam-3715	40	13	v.	v.	INTJ
ejpam-3715	40	14	let	let	VERB
ejpam-3715	40	15	{	{	PUNCT
ejpam-3715	40	16	v	v	NOUN
ejpam-3715	40	17	(	(	PUNCT
ejpam-3715	40	18	g	g	NOUN
ejpam-3715	40	19	)	)	PUNCT
ejpam-3715	40	20	⋂	⋂	PROPN
ejpam-3715	40	21	v	v	NOUN
ejpam-3715	40	22	(	(	PUNCT
ejpam-3715	40	23	h	h	NOUN
ejpam-3715	40	24	)	)	PUNCT
ejpam-3715	40	25	=	=	PUNCT
ejpam-3715	40	26	∅|g	∅|g	NOUN
ejpam-3715	40	27	∈	∈	PROPN
ejpam-3715	40	28	v	v	NOUN
ejpam-3715	40	29	(	(	PUNCT
ejpam-3715	40	30	g	g	NOUN
ejpam-3715	40	31	)	)	PUNCT
ejpam-3715	40	32	,	,	PUNCT
ejpam-3715	40	33	h	h	NOUN
ejpam-3715	40	34	∈	∈	PROPN
ejpam-3715	40	35	v	v	ADP
ejpam-3715	40	36	(	(	PUNCT
ejpam-3715	40	37	h	h	NOUN
ejpam-3715	40	38	)	)	PUNCT
ejpam-3715	40	39	}	}	PUNCT
ejpam-3715	40	40	.	.	PUNCT
ejpam-3715	41	1	the	the	DET
ejpam-3715	41	2	number	number	NOUN
ejpam-3715	41	3	of	of	ADP
ejpam-3715	41	4	vertices	vertex	NOUN
ejpam-3715	41	5	and	and	CCONJ
ejpam-3715	41	6	number	number	NOUN
ejpam-3715	41	7	of	of	ADP
ejpam-3715	41	8	edges	edge	NOUN
ejpam-3715	41	9	in	in	ADP
ejpam-3715	41	10	the	the	DET
ejpam-3715	41	11	graphs	graph	NOUN
ejpam-3715	41	12	g	g	NOUN
ejpam-3715	41	13	and	and	CCONJ
ejpam-3715	41	14	h	h	NOUN
ejpam-3715	41	15	are	be	AUX
ejpam-3715	41	16	represented	represent	VERB
ejpam-3715	41	17	by	by	ADP
ejpam-3715	41	18	n1	n1	PROPN
ejpam-3715	41	19	,	,	PUNCT
ejpam-3715	41	20	n2	n2	NOUN
ejpam-3715	41	21	and	and	CCONJ
ejpam-3715	41	22	m1	m1	PROPN
ejpam-3715	41	23	,	,	PUNCT
ejpam-3715	41	24	m2	m2	PROPN
ejpam-3715	41	25	respectively	respectively	ADV
ejpam-3715	41	26	.	.	PUNCT
ejpam-3715	42	1	we	we	PRON
ejpam-3715	42	2	have	have	VERB
ejpam-3715	42	3	m.	m.	PROPN
ejpam-3715	42	4	manjunath	manjunath	PROPN
ejpam-3715	42	5	,	,	PUNCT
ejpam-3715	42	6	v.	v.	ADP
ejpam-3715	42	7	lokesha	lokesha	PROPN
ejpam-3715	42	8	,	,	PUNCT
ejpam-3715	42	9	suvarna	suvarna	NOUN
ejpam-3715	42	10	,	,	PUNCT
ejpam-3715	42	11	s.	s.	PROPN
ejpam-3715	42	12	jain	jain	PROPN
ejpam-3715	42	13	/	/	SYM
ejpam-3715	42	14	eur	eur	PROPN
ejpam-3715	42	15	.	.	PUNCT
ejpam-3715	43	1	j.	j.	PROPN
ejpam-3715	43	2	pure	pure	PROPN
ejpam-3715	43	3	appl	appl	PROPN
ejpam-3715	43	4	.	.	PROPN
ejpam-3715	43	5	math	math	PROPN
ejpam-3715	43	6	,	,	PUNCT
ejpam-3715	43	7	14	14	NUM
ejpam-3715	43	8	(	(	PUNCT
ejpam-3715	43	9	2	2	NUM
ejpam-3715	43	10	)	)	PUNCT
ejpam-3715	43	11	(	(	PUNCT
ejpam-3715	43	12	2021	2021	NUM
ejpam-3715	43	13	)	)	PUNCT
ejpam-3715	43	14	,	,	PUNCT
ejpam-3715	43	15	340	340	NUM
ejpam-3715	43	16	-	-	SYM
ejpam-3715	43	17	350	350	NUM
ejpam-3715	43	18	342	342	NUM
ejpam-3715	43	19	∆g	∆g	PROPN
ejpam-3715	43	20	≥	≥	NUM
ejpam-3715	43	21	degg(g	degg(g	PROPN
ejpam-3715	43	22	)	)	PUNCT
ejpam-3715	43	23	,	,	PUNCT
ejpam-3715	43	24	δg	δg	VERB
ejpam-3715	43	25	≤	≤	NUM
ejpam-3715	43	26	degg(g	degg(g	PROPN
ejpam-3715	43	27	)	)	PUNCT
ejpam-3715	43	28	∆h	∆h	PROPN
ejpam-3715	43	29	≥	≥	NOUN
ejpam-3715	43	30	degh(h	degh(h	NOUN
ejpam-3715	43	31	)	)	PUNCT
ejpam-3715	43	32	,	,	PUNCT
ejpam-3715	43	33	δh	δh	ADP
ejpam-3715	43	34	≤	≤	NUM
ejpam-3715	43	35	degh(h	degh(h	NOUN
ejpam-3715	43	36	)	)	PUNCT
ejpam-3715	43	37	the	the	DET
ejpam-3715	43	38	bounds	bound	NOUN
ejpam-3715	43	39	for	for	ADP
ejpam-3715	43	40	different	different	ADJ
ejpam-3715	43	41	topological	topological	ADJ
ejpam-3715	43	42	indices	index	NOUN
ejpam-3715	43	43	are	be	AUX
ejpam-3715	43	44	obtained	obtain	VERB
ejpam-3715	43	45	by	by	ADP
ejpam-3715	43	46	many	many	ADJ
ejpam-3715	43	47	researchers	researcher	NOUN
ejpam-3715	43	48	[	[	X
ejpam-3715	43	49	5	5	NUM
ejpam-3715	43	50	]	]	PUNCT
ejpam-3715	43	51	.	.	PUNCT
ejpam-3715	44	1	now	now	ADV
ejpam-3715	44	2	we	we	PRON
ejpam-3715	44	3	will	will	AUX
ejpam-3715	44	4	define	define	VERB
ejpam-3715	44	5	a	a	DET
ejpam-3715	44	6	new	new	ADJ
ejpam-3715	44	7	class	class	NOUN
ejpam-3715	44	8	of	of	ADP
ejpam-3715	44	9	operator	operator	NOUN
ejpam-3715	44	10	graph	graph	NOUN
ejpam-3715	44	11	namely	namely	ADV
ejpam-3715	44	12	j	j	NOUN
ejpam-3715	44	13	-	-	PUNCT
ejpam-3715	44	14	vertex	vertex	NOUN
ejpam-3715	44	15	corona	corona	NOUN
ejpam-3715	44	16	product	product	NOUN
ejpam-3715	44	17	of	of	ADP
ejpam-3715	44	18	graph	graph	NOUN
ejpam-3715	44	19	(	(	PUNCT
ejpam-3715	44	20	℘-graph	℘-graph	NOUN
ejpam-3715	44	21	)	)	PUNCT
ejpam-3715	44	22	.	.	PUNCT
ejpam-3715	45	1	definition	definition	NOUN
ejpam-3715	45	2	1.3	1.3	NUM
ejpam-3715	45	3	.	.	PUNCT
ejpam-3715	46	1	the	the	DET
ejpam-3715	46	2	j(g)	j(g)	PROPN
ejpam-3715	46	3	�	�	PROPN
ejpam-3715	46	4	h	h	NOUN
ejpam-3715	46	5	=	=	PUNCT
ejpam-3715	46	6	℘	℘	PROPN
ejpam-3715	46	7	is	be	AUX
ejpam-3715	46	8	a	a	DET
ejpam-3715	46	9	graph	graph	NOUN
ejpam-3715	46	10	obtained	obtain	VERB
ejpam-3715	46	11	from	from	ADP
ejpam-3715	46	12	one	one	NUM
ejpam-3715	46	13	copy	copy	NOUN
ejpam-3715	46	14	of	of	ADP
ejpam-3715	46	15	graph	graph	NOUN
ejpam-3715	46	16	j(g	j(g	PROPN
ejpam-3715	46	17	)	)	PUNCT
ejpam-3715	46	18	and	and	CCONJ
ejpam-3715	46	19	m1	m1	PROPN
ejpam-3715	46	20	copies	copy	NOUN
ejpam-3715	46	21	of	of	ADP
ejpam-3715	46	22	h	h	NOUN
ejpam-3715	46	23	and	and	CCONJ
ejpam-3715	46	24	joining	join	VERB
ejpam-3715	46	25	a	a	DET
ejpam-3715	46	26	vertex	vertex	NOUN
ejpam-3715	46	27	of	of	ADP
ejpam-3715	46	28	v	v	NOUN
ejpam-3715	46	29	[	[	X
ejpam-3715	46	30	j(g	j(g	X
ejpam-3715	46	31	)	)	PUNCT
ejpam-3715	46	32	]	]	PUNCT
ejpam-3715	46	33	,	,	PUNCT
ejpam-3715	46	34	that	that	ADV
ejpam-3715	46	35	is	is	ADV
ejpam-3715	46	36	,	,	PUNCT
ejpam-3715	46	37	on	on	ADP
ejpam-3715	46	38	the	the	DET
ejpam-3715	46	39	ith	ith	PROPN
ejpam-3715	46	40	position	position	NOUN
ejpam-3715	46	41	in	in	ADP
ejpam-3715	46	42	j(g	j(g	NOUN
ejpam-3715	46	43	)	)	PUNCT
ejpam-3715	46	44	to	to	ADP
ejpam-3715	46	45	every	every	DET
ejpam-3715	46	46	vertex	vertex	NOUN
ejpam-3715	46	47	in	in	ADP
ejpam-3715	46	48	the	the	DET
ejpam-3715	46	49	ith	ith	PROPN
ejpam-3715	46	50	copy	copy	NOUN
ejpam-3715	46	51	of	of	ADP
ejpam-3715	46	52	h.	h.	PROPN
ejpam-3715	46	53	properties	property	NOUN
ejpam-3715	46	54	of	of	ADP
ejpam-3715	46	55	℘-graph	℘-graph	NOUN
ejpam-3715	46	56	:	:	PUNCT
ejpam-3715	46	57	the	the	DET
ejpam-3715	46	58	℘-graph	℘-graph	NOUN
ejpam-3715	46	59	has	have	VERB
ejpam-3715	46	60	(	(	PUNCT
ejpam-3715	46	61	i	i	NOUN
ejpam-3715	46	62	)	)	PUNCT
ejpam-3715	46	63	.	.	PUNCT
ejpam-3715	47	1	m1	m1	PROPN
ejpam-3715	47	2	+	+	ADP
ejpam-3715	47	3	m1n2	m1n2	PROPN
ejpam-3715	47	4	vertices	vertex	NOUN
ejpam-3715	47	5	(	(	PUNCT
ejpam-3715	47	6	ii	ii	NOUN
ejpam-3715	47	7	)	)	PUNCT
ejpam-3715	47	8	.	.	PUNCT
ejpam-3715	48	1	m1[m2	m1[m2	PUNCT
ejpam-3715	49	1	+	+	NUM
ejpam-3715	49	2	n2	n2	ADJ
ejpam-3715	49	3	]	]	X
ejpam-3715	50	1	+	+	X
ejpam-3715	50	2	m1[m1−1	m1[m1−1	NOUN
ejpam-3715	50	3	]	]	X
ejpam-3715	50	4	2	2	NUM
ejpam-3715	50	5	−	−	NOUN
ejpam-3715	50	6	∑	∑	PUNCT
ejpam-3715	50	7	uv∈e(g	uv∈e(g	NUM
ejpam-3715	50	8	)	)	PUNCT
ejpam-3715	50	9	[	[	PUNCT
ejpam-3715	50	10	deggu+deggv−2	deggu+deggv−2	X
ejpam-3715	50	11	2	2	NUM
ejpam-3715	50	12	]	]	PUNCT
ejpam-3715	50	13	edges	edge	NOUN
ejpam-3715	50	14	.	.	PUNCT
ejpam-3715	51	1	(	(	PUNCT
ejpam-3715	51	2	iii	iii	NOUN
ejpam-3715	51	3	)	)	PUNCT
ejpam-3715	51	4	.	.	PUNCT
ejpam-3715	52	1	the	the	DET
ejpam-3715	52	2	degree	degree	NOUN
ejpam-3715	52	3	of	of	ADP
ejpam-3715	52	4	a	a	DET
ejpam-3715	52	5	vertex	vertex	NOUN
ejpam-3715	52	6	v	v	ADP
ejpam-3715	52	7	∈	∈	NOUN
ejpam-3715	52	8	v	v	ADP
ejpam-3715	52	9	[	[	X
ejpam-3715	52	10	℘	℘	X
ejpam-3715	52	11	]	]	PUNCT
ejpam-3715	52	12	is	be	AUX
ejpam-3715	52	13	given	give	VERB
ejpam-3715	52	14	by	by	ADP
ejpam-3715	52	15	deg℘u	deg℘u	PUNCT
ejpam-3715	52	16	=	=	NOUN
ejpam-3715	52	17	{	{	PUNCT
ejpam-3715	52	18	deghu+	deghu+	NOUN
ejpam-3715	52	19	1	1	NUM
ejpam-3715	52	20	,	,	PUNCT
ejpam-3715	52	21	if	if	SCONJ
ejpam-3715	52	22	u	u	PROPN
ejpam-3715	52	23	∈	∈	PROPN
ejpam-3715	52	24	v	v	ADP
ejpam-3715	52	25	[	[	X
ejpam-3715	52	26	h	h	X
ejpam-3715	52	27	]	]	X
ejpam-3715	52	28	degj(g)u+	degj(g)u+	PROPN
ejpam-3715	52	29	n2	n2	NOUN
ejpam-3715	52	30	,	,	PUNCT
ejpam-3715	52	31	ifu	ifu	VERB
ejpam-3715	52	32	∈	∈	PROPN
ejpam-3715	52	33	v	v	ADP
ejpam-3715	53	1	[	[	X
ejpam-3715	53	2	j	j	X
ejpam-3715	54	1	[	[	X
ejpam-3715	54	2	g	g	X
ejpam-3715	54	3	]	]	X
ejpam-3715	54	4	]	]	X
ejpam-3715	54	5	.	.	PUNCT
ejpam-3715	55	1	2	2	X
ejpam-3715	55	2	.	.	NUM
ejpam-3715	55	3	bounds	bound	NOUN
ejpam-3715	55	4	on	on	ADP
ejpam-3715	55	5	various	various	ADJ
ejpam-3715	55	6	topological	topological	ADJ
ejpam-3715	55	7	indices	index	NOUN
ejpam-3715	55	8	of	of	ADP
ejpam-3715	55	9	℘	℘	PROPN
ejpam-3715	55	10	graph	graph	NOUN
ejpam-3715	55	11	in	in	ADP
ejpam-3715	55	12	this	this	DET
ejpam-3715	55	13	section	section	NOUN
ejpam-3715	55	14	,	,	PUNCT
ejpam-3715	55	15	we	we	PRON
ejpam-3715	55	16	formulate	formulate	VERB
ejpam-3715	55	17	the	the	DET
ejpam-3715	55	18	bounds	bound	NOUN
ejpam-3715	55	19	on	on	ADP
ejpam-3715	55	20	the	the	DET
ejpam-3715	55	21	isi	isi	PROPN
ejpam-3715	55	22	,	,	PUNCT
ejpam-3715	55	23	ga	ga	PROPN
ejpam-3715	55	24	,	,	PUNCT
ejpam-3715	55	25	abc	abc	PROPN
ejpam-3715	55	26	,	,	PUNCT
ejpam-3715	55	27	m1	m1	PROPN
ejpam-3715	55	28	and	and	CCONJ
ejpam-3715	55	29	em1	em1	PROPN
ejpam-3715	55	30	indices	index	NOUN
ejpam-3715	55	31	of	of	ADP
ejpam-3715	55	32	℘-graph	℘-graph	NOUN
ejpam-3715	55	33	.	.	PUNCT
ejpam-3715	56	1	theorem	theorem	NOUN
ejpam-3715	56	2	1	1	NUM
ejpam-3715	56	3	.	.	PUNCT
ejpam-3715	57	1	let	let	VERB
ejpam-3715	57	2	g	g	NOUN
ejpam-3715	57	3	and	and	CCONJ
ejpam-3715	57	4	h	h	NOUN
ejpam-3715	57	5	are	be	AUX
ejpam-3715	57	6	two	two	NUM
ejpam-3715	57	7	simple	simple	ADJ
ejpam-3715	57	8	connected	connected	ADJ
ejpam-3715	57	9	graphs	graph	NOUN
ejpam-3715	57	10	,	,	PUNCT
ejpam-3715	57	11	then	then	ADV
ejpam-3715	57	12	the	the	DET
ejpam-3715	57	13	bounds	bound	NOUN
ejpam-3715	57	14	for	for	ADP
ejpam-3715	57	15	the	the	DET
ejpam-3715	57	16	inverse	inverse	NOUN
ejpam-3715	57	17	sum	sum	NOUN
ejpam-3715	57	18	indeg	indeg	NOUN
ejpam-3715	57	19	index	index	NOUN
ejpam-3715	57	20	of	of	ADP
ejpam-3715	57	21	℘	℘	PROPN
ejpam-3715	57	22	are	be	AUX
ejpam-3715	57	23	given	give	VERB
ejpam-3715	57	24	by	by	ADP
ejpam-3715	57	25	isi[℘	isi[℘	X
ejpam-3715	57	26	]	]	X
ejpam-3715	57	27	≥	≥	NOUN
ejpam-3715	57	28	m1m2(∆h	m1m2(∆h	NOUN
ejpam-3715	58	1	+	+	CCONJ
ejpam-3715	58	2	1	1	NUM
ejpam-3715	58	3	)	)	PUNCT
ejpam-3715	58	4	2	2	NUM
ejpam-3715	59	1	+	+	NOUN
ejpam-3715	59	2	m1n2	m1n2	X
ejpam-3715	59	3	[	[	PUNCT
ejpam-3715	59	4	(	(	PUNCT
ejpam-3715	59	5	∆h	∆h	PROPN
ejpam-3715	59	6	+	+	NUM
ejpam-3715	59	7	1).[(m1	1).[(m1	NUM
ejpam-3715	59	8	−	−	PROPN
ejpam-3715	59	9	1)−	1)−	NUM
ejpam-3715	59	10	2[∆g	2[∆g	NUM
ejpam-3715	59	11	−	−	NOUN
ejpam-3715	59	12	1	1	NUM
ejpam-3715	59	13	]	]	PUNCT
ejpam-3715	59	14	+	+	NUM
ejpam-3715	59	15	n2	n2	ADJ
ejpam-3715	59	16	]	]	X
ejpam-3715	59	17	∆h	∆h	PROPN
ejpam-3715	59	18	+	+	PROPN
ejpam-3715	59	19	m1	m1	PROPN
ejpam-3715	59	20	−	−	PROPN
ejpam-3715	59	21	2[∆g	2[∆g	NUM
ejpam-3715	59	22	−	−	NOUN
ejpam-3715	59	23	1	1	NUM
ejpam-3715	59	24	]	]	PUNCT
ejpam-3715	59	25	+	+	NUM
ejpam-3715	59	26	n2	n2	ADJ
ejpam-3715	59	27	]	]	PUNCT
ejpam-3715	59	28	+	+	CCONJ
ejpam-3715	59	29	[	[	PUNCT
ejpam-3715	59	30	m1(m1	m1(m1	NOUN
ejpam-3715	59	31	−	−	PROPN
ejpam-3715	59	32	1	1	NUM
ejpam-3715	59	33	)	)	PUNCT
ejpam-3715	59	34	2	2	NUM
ejpam-3715	59	35	−m1(∆g	−m1(∆g	NOUN
ejpam-3715	59	36	−	−	PROPN
ejpam-3715	59	37	1	1	NUM
ejpam-3715	59	38	)	)	PUNCT
ejpam-3715	59	39	]	]	PUNCT
ejpam-3715	59	40	[	[	PUNCT
ejpam-3715	59	41	(	(	PUNCT
ejpam-3715	59	42	m1	m1	PROPN
ejpam-3715	59	43	−	−	PROPN
ejpam-3715	59	44	1)−	1)−	PROPN
ejpam-3715	59	45	2[∆g	2[∆g	NUM
ejpam-3715	59	46	−	−	NOUN
ejpam-3715	59	47	1	1	NUM
ejpam-3715	59	48	]	]	PUNCT
ejpam-3715	59	49	+	+	NUM
ejpam-3715	59	50	n2	n2	ADJ
ejpam-3715	59	51	2	2	NUM
ejpam-3715	59	52	]	]	PUNCT
ejpam-3715	59	53	and	and	CCONJ
ejpam-3715	59	54	isi[℘	isi[℘	X
ejpam-3715	59	55	]	]	X
ejpam-3715	59	56	≤	≤	NUM
ejpam-3715	59	57	m1m2(δh	m1m2(δh	NOUN
ejpam-3715	59	58	+	+	CCONJ
ejpam-3715	59	59	1	1	X
ejpam-3715	59	60	)	)	PUNCT
ejpam-3715	59	61	2	2	NUM
ejpam-3715	60	1	+	+	NOUN
ejpam-3715	60	2	m1n2	m1n2	X
ejpam-3715	60	3	[	[	PUNCT
ejpam-3715	60	4	(	(	PUNCT
ejpam-3715	60	5	δh	δh	ADP
ejpam-3715	60	6	+	+	NOUN
ejpam-3715	60	7	1).[(m1	1).[(m1	NUM
ejpam-3715	60	8	−	−	PROPN
ejpam-3715	60	9	1)−	1)−	NUM
ejpam-3715	60	10	2[δg	2[δg	NUM
ejpam-3715	60	11	−	−	NOUN
ejpam-3715	60	12	1	1	NUM
ejpam-3715	60	13	]	]	PUNCT
ejpam-3715	60	14	+	+	X
ejpam-3715	60	15	n2	n2	ADJ
ejpam-3715	60	16	]	]	X
ejpam-3715	60	17	δh	δh	ADP
ejpam-3715	60	18	+	+	PROPN
ejpam-3715	60	19	m1	m1	PROPN
ejpam-3715	60	20	−	−	ADP
ejpam-3715	60	21	2[δg	2[δg	NUM
ejpam-3715	60	22	−	−	PROPN
ejpam-3715	60	23	1	1	NUM
ejpam-3715	60	24	]	]	PUNCT
ejpam-3715	60	25	+	+	NUM
ejpam-3715	60	26	n2	n2	ADJ
ejpam-3715	60	27	]	]	PUNCT
ejpam-3715	60	28	+	+	CCONJ
ejpam-3715	60	29	[	[	PUNCT
ejpam-3715	60	30	m1(m1	m1(m1	NOUN
ejpam-3715	60	31	−	−	PROPN
ejpam-3715	60	32	1	1	NUM
ejpam-3715	60	33	)	)	PUNCT
ejpam-3715	60	34	2	2	NUM
ejpam-3715	60	35	−m1(δg	−m1(δg	NUM
ejpam-3715	60	36	−	−	NOUN
ejpam-3715	60	37	1	1	NUM
ejpam-3715	60	38	)	)	PUNCT
ejpam-3715	60	39	]	]	PUNCT
ejpam-3715	60	40	[	[	PUNCT
ejpam-3715	60	41	(	(	PUNCT
ejpam-3715	60	42	m1	m1	PROPN
ejpam-3715	60	43	−	−	PROPN
ejpam-3715	60	44	1)−	1)−	PROPN
ejpam-3715	60	45	2[δg	2[δg	NUM
ejpam-3715	60	46	−	−	NOUN
ejpam-3715	60	47	1	1	NUM
ejpam-3715	60	48	]	]	PUNCT
ejpam-3715	60	49	+	+	NUM
ejpam-3715	60	50	n2	n2	ADJ
ejpam-3715	60	51	2	2	NUM
ejpam-3715	60	52	]	]	PUNCT
ejpam-3715	60	53	.	.	PUNCT
ejpam-3715	61	1	proof	proof	NOUN
ejpam-3715	61	2	.	.	PUNCT
ejpam-3715	62	1	consider	consider	VERB
ejpam-3715	62	2	,	,	PUNCT
ejpam-3715	62	3	m.	m.	PROPN
ejpam-3715	62	4	manjunath	manjunath	PROPN
ejpam-3715	62	5	,	,	PUNCT
ejpam-3715	62	6	v.	v.	ADP
ejpam-3715	62	7	lokesha	lokesha	PROPN
ejpam-3715	62	8	,	,	PUNCT
ejpam-3715	62	9	suvarna	suvarna	NOUN
ejpam-3715	62	10	,	,	PUNCT
ejpam-3715	62	11	s.	s.	PROPN
ejpam-3715	62	12	jain	jain	PROPN
ejpam-3715	62	13	/	/	SYM
ejpam-3715	62	14	eur	eur	PROPN
ejpam-3715	62	15	.	.	PUNCT
ejpam-3715	63	1	j.	j.	PROPN
ejpam-3715	63	2	pure	pure	PROPN
ejpam-3715	63	3	appl	appl	PROPN
ejpam-3715	63	4	.	.	PROPN
ejpam-3715	63	5	math	math	PROPN
ejpam-3715	63	6	,	,	PUNCT
ejpam-3715	63	7	14	14	NUM
ejpam-3715	63	8	(	(	PUNCT
ejpam-3715	63	9	2	2	NUM
ejpam-3715	63	10	)	)	PUNCT
ejpam-3715	63	11	(	(	PUNCT
ejpam-3715	63	12	2021	2021	NUM
ejpam-3715	63	13	)	)	PUNCT
ejpam-3715	63	14	,	,	PUNCT
ejpam-3715	63	15	340	340	NUM
ejpam-3715	63	16	-	-	SYM
ejpam-3715	63	17	350	350	NUM
ejpam-3715	63	18	343	343	NUM
ejpam-3715	63	19	isi[℘	isi[℘	X
ejpam-3715	63	20	]	]	X
ejpam-3715	63	21	=	=	SYM
ejpam-3715	63	22	m1	m1	PROPN
ejpam-3715	63	23	∑	∑	PUNCT
ejpam-3715	63	24	uv∈e(h	uv∈e(h	NUM
ejpam-3715	63	25	)	)	PUNCT
ejpam-3715	63	26	[	[	PUNCT
ejpam-3715	63	27	(	(	PUNCT
ejpam-3715	63	28	deghu+	deghu+	X
ejpam-3715	63	29	1).(deghv	1).(deghv	ADV
ejpam-3715	63	30	+	+	NOUN
ejpam-3715	63	31	1	1	X
ejpam-3715	63	32	)	)	PUNCT
ejpam-3715	63	33	(	(	PUNCT
ejpam-3715	63	34	deghu+	deghu+	NOUN
ejpam-3715	63	35	1	1	NUM
ejpam-3715	63	36	)	)	PUNCT
ejpam-3715	63	37	+	+	CCONJ
ejpam-3715	63	38	(	(	PUNCT
ejpam-3715	63	39	deghv	deghv	NOUN
ejpam-3715	63	40	+	+	NOUN
ejpam-3715	63	41	1	1	NUM
ejpam-3715	63	42	)	)	PUNCT
ejpam-3715	63	43	]	]	PUNCT
ejpam-3715	64	1	+	+	CCONJ
ejpam-3715	64	2	∑	∑	PUNCT
ejpam-3715	64	3	ef∈e(j	ef∈e(j	NOUN
ejpam-3715	64	4	[	[	X
ejpam-3715	64	5	g	g	X
ejpam-3715	64	6	]	]	X
ejpam-3715	64	7	)	)	PUNCT
ejpam-3715	64	8	[	[	PUNCT
ejpam-3715	64	9	(	(	PUNCT
ejpam-3715	64	10	degj	degj	X
ejpam-3715	64	11	[	[	X
ejpam-3715	64	12	g]e+	g]e+	PROPN
ejpam-3715	64	13	n2).(degj	n2).(degj	PROPN
ejpam-3715	65	1	[	[	X
ejpam-3715	65	2	g]f	g]f	NOUN
ejpam-3715	65	3	+	+	CCONJ
ejpam-3715	65	4	n2	n2	ADJ
ejpam-3715	65	5	)	)	PUNCT
ejpam-3715	65	6	(	(	PUNCT
ejpam-3715	65	7	degj	degj	NOUN
ejpam-3715	65	8	[	[	X
ejpam-3715	65	9	g]e+	g]e+	NOUN
ejpam-3715	65	10	n2	n2	NOUN
ejpam-3715	65	11	)	)	PUNCT
ejpam-3715	66	1	+	+	CCONJ
ejpam-3715	66	2	(	(	PUNCT
ejpam-3715	66	3	degj	degj	ADJ
ejpam-3715	66	4	[	[	X
ejpam-3715	66	5	g]f	g]f	NOUN
ejpam-3715	66	6	+	+	CCONJ
ejpam-3715	66	7	n2	n2	ADJ
ejpam-3715	66	8	)	)	PUNCT
ejpam-3715	66	9	]	]	PUNCT
ejpam-3715	67	1	+	+	CCONJ
ejpam-3715	67	2	∑	∑	ADV
ejpam-3715	67	3	e∈v	e∈v	NOUN
ejpam-3715	67	4	(	(	PUNCT
ejpam-3715	67	5	j	j	PROPN
ejpam-3715	67	6	[	[	X
ejpam-3715	67	7	g	g	NOUN
ejpam-3715	67	8	]	]	X
ejpam-3715	67	9	)	)	PUNCT
ejpam-3715	67	10	∑	∑	ADV
ejpam-3715	67	11	u∈v	u∈v	NOUN
ejpam-3715	67	12	(	(	PUNCT
ejpam-3715	67	13	h	h	NOUN
ejpam-3715	67	14	)	)	PUNCT
ejpam-3715	67	15	[	[	PUNCT
ejpam-3715	67	16	(	(	PUNCT
ejpam-3715	67	17	deghu+	deghu+	X
ejpam-3715	67	18	1).(degj(g)e+	1).(degj(g)e+	NUM
ejpam-3715	67	19	n2	n2	NOUN
ejpam-3715	67	20	)	)	PUNCT
ejpam-3715	67	21	(	(	PUNCT
ejpam-3715	67	22	deghu+	deghu+	NOUN
ejpam-3715	67	23	1	1	NUM
ejpam-3715	67	24	)	)	PUNCT
ejpam-3715	67	25	+	+	CCONJ
ejpam-3715	67	26	(	(	PUNCT
ejpam-3715	67	27	degj(g)e+	degj(g)e+	PROPN
ejpam-3715	67	28	n2	n2	PROPN
ejpam-3715	67	29	)	)	PUNCT
ejpam-3715	67	30	]	]	PUNCT
ejpam-3715	68	1	=	=	PUNCT
ejpam-3715	68	2	m1m2	m1m2	X
ejpam-3715	68	3	[	[	PUNCT
ejpam-3715	68	4	(	(	PUNCT
ejpam-3715	68	5	deghu+	deghu+	X
ejpam-3715	68	6	1).(deghv	1).(deghv	ADV
ejpam-3715	68	7	+	+	NOUN
ejpam-3715	68	8	1	1	X
ejpam-3715	68	9	)	)	PUNCT
ejpam-3715	68	10	(	(	PUNCT
ejpam-3715	68	11	deghu+	deghu+	NOUN
ejpam-3715	68	12	1	1	NUM
ejpam-3715	68	13	)	)	PUNCT
ejpam-3715	68	14	+	+	CCONJ
ejpam-3715	68	15	(	(	PUNCT
ejpam-3715	68	16	deghv	deghv	NOUN
ejpam-3715	68	17	+	+	NOUN
ejpam-3715	68	18	1	1	NUM
ejpam-3715	68	19	)	)	PUNCT
ejpam-3715	68	20	]	]	PUNCT
ejpam-3715	69	1	+	+	PUNCT
ejpam-3715	69	2	m1n2	m1n2	X
ejpam-3715	69	3	[	[	PUNCT
ejpam-3715	69	4	(	(	PUNCT
ejpam-3715	69	5	deghu+	deghu+	PROPN
ejpam-3715	69	6	1).(degj	1).(degj	NOUN
ejpam-3715	70	1	[	[	X
ejpam-3715	70	2	g]e+	g]e+	PROPN
ejpam-3715	70	3	n2	n2	NOUN
ejpam-3715	70	4	)	)	PUNCT
ejpam-3715	70	5	(	(	PUNCT
ejpam-3715	70	6	deghu+	deghu+	NOUN
ejpam-3715	70	7	1	1	NUM
ejpam-3715	70	8	)	)	PUNCT
ejpam-3715	70	9	+	+	CCONJ
ejpam-3715	70	10	(	(	PUNCT
ejpam-3715	70	11	degj	degj	ADJ
ejpam-3715	70	12	[	[	X
ejpam-3715	70	13	g]e+	g]e+	NOUN
ejpam-3715	70	14	n2	n2	NOUN
ejpam-3715	70	15	)	)	PUNCT
ejpam-3715	70	16	]	]	PUNCT
ejpam-3715	71	1	+	+	CCONJ
ejpam-3715	71	2	[	[	X
ejpam-3715	71	3	[	[	PUNCT
ejpam-3715	71	4	m1(m1	m1(m1	NOUN
ejpam-3715	71	5	−	−	PROPN
ejpam-3715	71	6	1	1	NUM
ejpam-3715	71	7	)	)	PUNCT
ejpam-3715	71	8	2	2	NUM
ejpam-3715	71	9	]	]	PUNCT
ejpam-3715	71	10	−m1	−m1	X
ejpam-3715	71	11	[	[	PUNCT
ejpam-3715	71	12	deggu+	deggu+	INTJ
ejpam-3715	71	13	deggv	deggv	PROPN
ejpam-3715	71	14	−	−	PROPN
ejpam-3715	71	15	2	2	NUM
ejpam-3715	71	16	2	2	NUM
ejpam-3715	71	17	]	]	PUNCT
ejpam-3715	71	18	]	]	X
ejpam-3715	71	19	[	[	PUNCT
ejpam-3715	71	20	(	(	PUNCT
ejpam-3715	71	21	degj	degj	X
ejpam-3715	71	22	[	[	X
ejpam-3715	71	23	g]e+	g]e+	PROPN
ejpam-3715	71	24	n2).(degj	n2).(degj	PROPN
ejpam-3715	72	1	[	[	X
ejpam-3715	72	2	g]f	g]f	NOUN
ejpam-3715	72	3	+	+	CCONJ
ejpam-3715	72	4	n2	n2	ADJ
ejpam-3715	72	5	)	)	PUNCT
ejpam-3715	72	6	(	(	PUNCT
ejpam-3715	72	7	degj	degj	NOUN
ejpam-3715	72	8	[	[	X
ejpam-3715	72	9	g]e+	g]e+	NOUN
ejpam-3715	72	10	n2	n2	NOUN
ejpam-3715	72	11	)	)	PUNCT
ejpam-3715	72	12	+	+	CCONJ
ejpam-3715	72	13	(	(	PUNCT
ejpam-3715	72	14	degj	degj	ADJ
ejpam-3715	72	15	[	[	X
ejpam-3715	72	16	g]f	g]f	NOUN
ejpam-3715	72	17	+	+	CCONJ
ejpam-3715	72	18	n2	n2	ADJ
ejpam-3715	72	19	)	)	PUNCT
ejpam-3715	72	20	]	]	PUNCT
ejpam-3715	73	1	=	=	PUNCT
ejpam-3715	73	2	m1m2	m1m2	X
ejpam-3715	73	3	[	[	PUNCT
ejpam-3715	73	4	(	(	PUNCT
ejpam-3715	73	5	deghu+	deghu+	X
ejpam-3715	73	6	1).(deghv	1).(deghv	ADV
ejpam-3715	73	7	+	+	NOUN
ejpam-3715	73	8	1	1	X
ejpam-3715	73	9	)	)	PUNCT
ejpam-3715	73	10	(	(	PUNCT
ejpam-3715	73	11	deghu+	deghu+	NOUN
ejpam-3715	73	12	1	1	NUM
ejpam-3715	73	13	)	)	PUNCT
ejpam-3715	73	14	+	+	CCONJ
ejpam-3715	73	15	(	(	PUNCT
ejpam-3715	73	16	deghv	deghv	NOUN
ejpam-3715	73	17	+	+	NOUN
ejpam-3715	73	18	1	1	NUM
ejpam-3715	73	19	)	)	PUNCT
ejpam-3715	73	20	]	]	PUNCT
ejpam-3715	74	1	+	+	CCONJ
ejpam-3715	74	2	[	[	X
ejpam-3715	74	3	[	[	PUNCT
ejpam-3715	74	4	m1(m1	m1(m1	NOUN
ejpam-3715	74	5	−	−	PROPN
ejpam-3715	74	6	1	1	NUM
ejpam-3715	74	7	)	)	PUNCT
ejpam-3715	74	8	2	2	NUM
ejpam-3715	74	9	]	]	PUNCT
ejpam-3715	74	10	−m1	−m1	X
ejpam-3715	74	11	[	[	PUNCT
ejpam-3715	74	12	deggu+	deggu+	INTJ
ejpam-3715	74	13	deggv	deggv	PROPN
ejpam-3715	74	14	−	−	PROPN
ejpam-3715	74	15	2	2	NUM
ejpam-3715	74	16	2	2	NUM
ejpam-3715	74	17	]	]	PUNCT
ejpam-3715	74	18	]	]	X
ejpam-3715	75	1	[	[	PUNCT
ejpam-3715	75	2	[	[	X
ejpam-3715	75	3	(	(	PUNCT
ejpam-3715	75	4	m1	m1	PROPN
ejpam-3715	75	5	−	−	PROPN
ejpam-3715	75	6	1)−	1)−	PROPN
ejpam-3715	76	1	[	[	X
ejpam-3715	76	2	deggu+	deggu+	X
ejpam-3715	76	3	deggv	deggv	PROPN
ejpam-3715	76	4	−	−	PROPN
ejpam-3715	76	5	2	2	X
ejpam-3715	76	6	]	]	PUNCT
ejpam-3715	76	7	+	+	NUM
ejpam-3715	76	8	n2].[(m1	n2].[(m1	NOUN
ejpam-3715	77	1	−	−	PROPN
ejpam-3715	77	2	1)−	1)−	PROPN
ejpam-3715	78	1	[	[	X
ejpam-3715	78	2	deggu+	deggu+	X
ejpam-3715	78	3	deggv	deggv	PROPN
ejpam-3715	78	4	−	−	PROPN
ejpam-3715	78	5	2	2	NUM
ejpam-3715	78	6	]	]	PUNCT
ejpam-3715	78	7	+	+	X
ejpam-3715	78	8	n2	n2	ADJ
ejpam-3715	78	9	]	]	X
ejpam-3715	79	1	[	[	X
ejpam-3715	79	2	(	(	PUNCT
ejpam-3715	79	3	m1	m1	PROPN
ejpam-3715	79	4	−	−	PROPN
ejpam-3715	79	5	1)−	1)−	PROPN
ejpam-3715	80	1	[	[	X
ejpam-3715	80	2	deggu+	deggu+	X
ejpam-3715	80	3	deggv	deggv	PROPN
ejpam-3715	80	4	−	−	PROPN
ejpam-3715	80	5	2	2	NUM
ejpam-3715	80	6	]	]	PUNCT
ejpam-3715	80	7	+	+	X
ejpam-3715	80	8	n2	n2	ADJ
ejpam-3715	80	9	]	]	X
ejpam-3715	80	10	+	+	CCONJ
ejpam-3715	81	1	[	[	X
ejpam-3715	81	2	(	(	PUNCT
ejpam-3715	81	3	m1	m1	PROPN
ejpam-3715	81	4	−	−	PROPN
ejpam-3715	81	5	1)−	1)−	PROPN
ejpam-3715	82	1	[	[	X
ejpam-3715	82	2	deggu+	deggu+	X
ejpam-3715	82	3	deggv	deggv	PROPN
ejpam-3715	82	4	−	−	PROPN
ejpam-3715	82	5	2	2	NUM
ejpam-3715	82	6	]	]	PUNCT
ejpam-3715	82	7	+	+	X
ejpam-3715	82	8	n2	n2	ADJ
ejpam-3715	82	9	]	]	X
ejpam-3715	82	10	]	]	PUNCT
ejpam-3715	83	1	+	+	NUM
ejpam-3715	83	2	m1n2	m1n2	X
ejpam-3715	83	3	[	[	PUNCT
ejpam-3715	83	4	(	(	PUNCT
ejpam-3715	83	5	deghu+	deghu+	ADP
ejpam-3715	83	6	1).[(m1	1).[(m1	NUM
ejpam-3715	83	7	−	−	PROPN
ejpam-3715	83	8	1)−	1)−	PROPN
ejpam-3715	84	1	[	[	X
ejpam-3715	84	2	deggu+	deggu+	X
ejpam-3715	84	3	deggv	deggv	PROPN
ejpam-3715	84	4	−	−	PROPN
ejpam-3715	84	5	2	2	NUM
ejpam-3715	84	6	]	]	PUNCT
ejpam-3715	84	7	+	+	X
ejpam-3715	84	8	n2	n2	ADJ
ejpam-3715	84	9	]	]	X
ejpam-3715	84	10	(	(	PUNCT
ejpam-3715	84	11	deghu+	deghu+	NOUN
ejpam-3715	84	12	1	1	NUM
ejpam-3715	84	13	)	)	PUNCT
ejpam-3715	84	14	+	+	CCONJ
ejpam-3715	85	1	[	[	X
ejpam-3715	85	2	(	(	PUNCT
ejpam-3715	85	3	m1	m1	PROPN
ejpam-3715	85	4	−	−	PROPN
ejpam-3715	85	5	1)−	1)−	PROPN
ejpam-3715	86	1	[	[	X
ejpam-3715	86	2	deggu+	deggu+	X
ejpam-3715	86	3	deggv	deggv	PROPN
ejpam-3715	86	4	−	−	PROPN
ejpam-3715	86	5	2	2	NUM
ejpam-3715	86	6	]	]	PUNCT
ejpam-3715	86	7	+	+	X
ejpam-3715	86	8	n2	n2	ADJ
ejpam-3715	86	9	]	]	X
ejpam-3715	86	10	]	]	PUNCT
ejpam-3715	86	11	≥	≥	X
ejpam-3715	86	12	m1m2	m1m2	X
ejpam-3715	86	13	[	[	PUNCT
ejpam-3715	86	14	(	(	PUNCT
ejpam-3715	86	15	∆h	∆h	PROPN
ejpam-3715	86	16	+	+	NUM
ejpam-3715	86	17	1).(∆h	1).(∆h	NOUN
ejpam-3715	86	18	+	+	NOUN
ejpam-3715	86	19	1	1	NUM
ejpam-3715	86	20	)	)	PUNCT
ejpam-3715	86	21	(	(	PUNCT
ejpam-3715	86	22	∆h	∆h	NOUN
ejpam-3715	86	23	+	+	CCONJ
ejpam-3715	86	24	1	1	NUM
ejpam-3715	86	25	)	)	PUNCT
ejpam-3715	86	26	+	+	CCONJ
ejpam-3715	86	27	(	(	PUNCT
ejpam-3715	86	28	∆h	∆h	NOUN
ejpam-3715	86	29	+	+	NOUN
ejpam-3715	86	30	1	1	NUM
ejpam-3715	86	31	)	)	PUNCT
ejpam-3715	86	32	]	]	PUNCT
ejpam-3715	87	1	+	+	PUNCT
ejpam-3715	87	2	m1n2	m1n2	X
ejpam-3715	87	3	[	[	PUNCT
ejpam-3715	87	4	(	(	PUNCT
ejpam-3715	87	5	∆h	∆h	PROPN
ejpam-3715	87	6	+	+	NUM
ejpam-3715	87	7	1).[(m1	1).[(m1	NUM
ejpam-3715	87	8	−	−	PROPN
ejpam-3715	87	9	1)−	1)−	PROPN
ejpam-3715	87	10	[	[	X
ejpam-3715	87	11	∆g	∆g	PROPN
ejpam-3715	87	12	+	+	CCONJ
ejpam-3715	87	13	∆g	∆g	PROPN
ejpam-3715	87	14	−	−	PROPN
ejpam-3715	87	15	2	2	NUM
ejpam-3715	87	16	]	]	PUNCT
ejpam-3715	87	17	+	+	X
ejpam-3715	87	18	n2	n2	ADJ
ejpam-3715	87	19	]	]	X
ejpam-3715	87	20	(	(	PUNCT
ejpam-3715	87	21	∆h	∆h	NOUN
ejpam-3715	87	22	+	+	CCONJ
ejpam-3715	87	23	1	1	NUM
ejpam-3715	87	24	)	)	PUNCT
ejpam-3715	87	25	+	+	CCONJ
ejpam-3715	88	1	[	[	X
ejpam-3715	88	2	(	(	PUNCT
ejpam-3715	88	3	m1	m1	PROPN
ejpam-3715	88	4	−	−	PROPN
ejpam-3715	88	5	1)−	1)−	PROPN
ejpam-3715	88	6	[	[	X
ejpam-3715	88	7	∆g	∆g	PROPN
ejpam-3715	88	8	+	+	CCONJ
ejpam-3715	88	9	∆g	∆g	PROPN
ejpam-3715	88	10	−	−	PROPN
ejpam-3715	88	11	2	2	NUM
ejpam-3715	88	12	]	]	PUNCT
ejpam-3715	88	13	+	+	X
ejpam-3715	88	14	n2	n2	ADJ
ejpam-3715	88	15	]	]	X
ejpam-3715	88	16	]	]	PUNCT
ejpam-3715	89	1	+	+	CCONJ
ejpam-3715	89	2	[	[	X
ejpam-3715	89	3	[	[	PUNCT
ejpam-3715	89	4	m1(m1	m1(m1	NOUN
ejpam-3715	89	5	−	−	PROPN
ejpam-3715	89	6	1	1	NUM
ejpam-3715	89	7	)	)	PUNCT
ejpam-3715	89	8	2	2	NUM
ejpam-3715	89	9	]	]	PUNCT
ejpam-3715	89	10	−m1	−m1	PROPN
ejpam-3715	89	11	[	[	PUNCT
ejpam-3715	89	12	∆g	∆g	PROPN
ejpam-3715	89	13	+	+	CCONJ
ejpam-3715	89	14	∆g	∆g	PROPN
ejpam-3715	89	15	−	−	NUM
ejpam-3715	89	16	2	2	NUM
ejpam-3715	89	17	2	2	NUM
ejpam-3715	89	18	]	]	PUNCT
ejpam-3715	89	19	]	]	X
ejpam-3715	89	20	[	[	PUNCT
ejpam-3715	89	21	[	[	X
ejpam-3715	89	22	(	(	PUNCT
ejpam-3715	89	23	m1	m1	PROPN
ejpam-3715	89	24	−	−	PROPN
ejpam-3715	89	25	1)−	1)−	PROPN
ejpam-3715	90	1	[	[	X
ejpam-3715	90	2	∆g	∆g	PROPN
ejpam-3715	90	3	+	+	CCONJ
ejpam-3715	90	4	∆g	∆g	PROPN
ejpam-3715	91	1	−	−	PROPN
ejpam-3715	91	2	2	2	NUM
ejpam-3715	91	3	]	]	PUNCT
ejpam-3715	91	4	+	+	NUM
ejpam-3715	91	5	n2].[(m1	n2].[(m1	NOUN
ejpam-3715	91	6	−	−	PROPN
ejpam-3715	92	1	1)−	1)−	PROPN
ejpam-3715	93	1	[	[	X
ejpam-3715	93	2	∆g	∆g	PROPN
ejpam-3715	93	3	+	+	CCONJ
ejpam-3715	93	4	∆g	∆g	PROPN
ejpam-3715	93	5	−	−	PROPN
ejpam-3715	93	6	2	2	NUM
ejpam-3715	93	7	]	]	PUNCT
ejpam-3715	93	8	+	+	X
ejpam-3715	93	9	n2	n2	ADJ
ejpam-3715	93	10	]	]	X
ejpam-3715	94	1	[	[	X
ejpam-3715	94	2	(	(	PUNCT
ejpam-3715	94	3	m1	m1	PROPN
ejpam-3715	94	4	−	−	PROPN
ejpam-3715	94	5	1)−	1)−	PROPN
ejpam-3715	95	1	[	[	X
ejpam-3715	95	2	∆g	∆g	PROPN
ejpam-3715	95	3	+	+	CCONJ
ejpam-3715	95	4	∆g	∆g	PROPN
ejpam-3715	95	5	−	−	PROPN
ejpam-3715	95	6	2	2	NUM
ejpam-3715	95	7	]	]	PUNCT
ejpam-3715	95	8	+	+	X
ejpam-3715	95	9	n2	n2	ADJ
ejpam-3715	95	10	]	]	X
ejpam-3715	96	1	+	+	CCONJ
ejpam-3715	97	1	[	[	X
ejpam-3715	97	2	(	(	PUNCT
ejpam-3715	97	3	m1	m1	PROPN
ejpam-3715	97	4	−	−	PROPN
ejpam-3715	97	5	1)−	1)−	PROPN
ejpam-3715	98	1	[	[	X
ejpam-3715	98	2	∆g	∆g	PROPN
ejpam-3715	98	3	+	+	CCONJ
ejpam-3715	98	4	∆g	∆g	PROPN
ejpam-3715	98	5	−	−	PROPN
ejpam-3715	98	6	2	2	NUM
ejpam-3715	98	7	]	]	PUNCT
ejpam-3715	98	8	+	+	X
ejpam-3715	98	9	n2	n2	ADJ
ejpam-3715	98	10	]	]	X
ejpam-3715	98	11	]	]	PUNCT
ejpam-3715	98	12	≥	≥	NOUN
ejpam-3715	99	1	m1m2(∆h	m1m2(∆h	NOUN
ejpam-3715	99	2	+	+	CCONJ
ejpam-3715	99	3	1	1	NUM
ejpam-3715	99	4	)	)	PUNCT
ejpam-3715	99	5	2	2	NUM
ejpam-3715	100	1	+	+	NOUN
ejpam-3715	100	2	m1n2	m1n2	X
ejpam-3715	100	3	[	[	PUNCT
ejpam-3715	100	4	(	(	PUNCT
ejpam-3715	100	5	∆h	∆h	PROPN
ejpam-3715	100	6	+	+	NUM
ejpam-3715	100	7	1).[(m1	1).[(m1	NUM
ejpam-3715	100	8	−	−	PROPN
ejpam-3715	100	9	1)−	1)−	NUM
ejpam-3715	100	10	2[∆g	2[∆g	NUM
ejpam-3715	100	11	−	−	NOUN
ejpam-3715	100	12	1	1	NUM
ejpam-3715	100	13	]	]	PUNCT
ejpam-3715	100	14	+	+	NUM
ejpam-3715	100	15	n2	n2	ADJ
ejpam-3715	100	16	]	]	X
ejpam-3715	100	17	∆h	∆h	PROPN
ejpam-3715	100	18	+	+	CCONJ
ejpam-3715	100	19	1	1	NUM
ejpam-3715	100	20	+	+	NOUN
ejpam-3715	100	21	m1	m1	NOUN
ejpam-3715	100	22	−	−	PROPN
ejpam-3715	100	23	1−	1−	NUM
ejpam-3715	100	24	2[∆g	2[∆g	NUM
ejpam-3715	100	25	−	−	NOUN
ejpam-3715	100	26	1	1	NUM
ejpam-3715	100	27	]	]	PUNCT
ejpam-3715	100	28	+	+	NUM
ejpam-3715	100	29	n2	n2	ADJ
ejpam-3715	100	30	]	]	PUNCT
ejpam-3715	100	31	+	+	CCONJ
ejpam-3715	101	1	[	[	X
ejpam-3715	101	2	[	[	PUNCT
ejpam-3715	101	3	m1(m1	m1(m1	NOUN
ejpam-3715	101	4	−	−	PROPN
ejpam-3715	101	5	1	1	NUM
ejpam-3715	101	6	)	)	PUNCT
ejpam-3715	101	7	2	2	NUM
ejpam-3715	101	8	]	]	PUNCT
ejpam-3715	101	9	−m1	−m1	PROPN
ejpam-3715	101	10	[	[	PUNCT
ejpam-3715	101	11	2(∆g	2(∆g	NUM
ejpam-3715	101	12	−	−	NOUN
ejpam-3715	101	13	1	1	NUM
ejpam-3715	101	14	)	)	PUNCT
ejpam-3715	101	15	2	2	NUM
ejpam-3715	101	16	]	]	PUNCT
ejpam-3715	101	17	]	]	X
ejpam-3715	101	18	[	[	PUNCT
ejpam-3715	101	19	(	(	PUNCT
ejpam-3715	101	20	m1	m1	PROPN
ejpam-3715	101	21	−	−	PROPN
ejpam-3715	101	22	1)−	1)−	PROPN
ejpam-3715	101	23	2[∆g	2[∆g	NUM
ejpam-3715	101	24	−	−	NOUN
ejpam-3715	101	25	1	1	NUM
ejpam-3715	101	26	]	]	PUNCT
ejpam-3715	101	27	+	+	NUM
ejpam-3715	101	28	n2	n2	ADJ
ejpam-3715	101	29	2	2	NUM
ejpam-3715	101	30	]	]	PUNCT
ejpam-3715	101	31	.	.	PUNCT
ejpam-3715	102	1	isi[℘	isi[℘	X
ejpam-3715	102	2	]	]	X
ejpam-3715	102	3	≥	≥	NOUN
ejpam-3715	103	1	m1m2(∆h	m1m2(∆h	NOUN
ejpam-3715	103	2	+	+	CCONJ
ejpam-3715	103	3	1	1	NUM
ejpam-3715	103	4	)	)	PUNCT
ejpam-3715	103	5	2	2	NUM
ejpam-3715	104	1	+	+	NOUN
ejpam-3715	104	2	m1n2	m1n2	X
ejpam-3715	104	3	[	[	PUNCT
ejpam-3715	104	4	(	(	PUNCT
ejpam-3715	104	5	∆h	∆h	PROPN
ejpam-3715	104	6	+	+	NUM
ejpam-3715	104	7	1).[(m1	1).[(m1	NUM
ejpam-3715	104	8	−	−	PROPN
ejpam-3715	104	9	1)−	1)−	NUM
ejpam-3715	104	10	2[∆g	2[∆g	NUM
ejpam-3715	104	11	−	−	NOUN
ejpam-3715	104	12	1	1	NUM
ejpam-3715	104	13	]	]	PUNCT
ejpam-3715	104	14	+	+	NUM
ejpam-3715	104	15	n2	n2	ADJ
ejpam-3715	104	16	]	]	X
ejpam-3715	104	17	∆h	∆h	PROPN
ejpam-3715	104	18	+	+	PROPN
ejpam-3715	104	19	m1	m1	PROPN
ejpam-3715	104	20	−	−	PROPN
ejpam-3715	104	21	2[∆g	2[∆g	NUM
ejpam-3715	104	22	−	−	NOUN
ejpam-3715	104	23	1	1	NUM
ejpam-3715	104	24	]	]	PUNCT
ejpam-3715	104	25	+	+	NUM
ejpam-3715	104	26	n2	n2	ADJ
ejpam-3715	104	27	]	]	PUNCT
ejpam-3715	104	28	+	+	CCONJ
ejpam-3715	104	29	[	[	PUNCT
ejpam-3715	104	30	m1(m1	m1(m1	NOUN
ejpam-3715	104	31	−	−	PROPN
ejpam-3715	104	32	1	1	NUM
ejpam-3715	104	33	)	)	PUNCT
ejpam-3715	104	34	2	2	NUM
ejpam-3715	104	35	−m1(∆g	−m1(∆g	NOUN
ejpam-3715	104	36	−	−	PROPN
ejpam-3715	104	37	1	1	NUM
ejpam-3715	104	38	)	)	PUNCT
ejpam-3715	104	39	]	]	PUNCT
ejpam-3715	104	40	[	[	PUNCT
ejpam-3715	104	41	(	(	PUNCT
ejpam-3715	104	42	m1	m1	PROPN
ejpam-3715	104	43	−	−	PROPN
ejpam-3715	104	44	1)−	1)−	PROPN
ejpam-3715	104	45	2[∆g	2[∆g	NUM
ejpam-3715	104	46	−	−	NOUN
ejpam-3715	104	47	1	1	NUM
ejpam-3715	104	48	]	]	PUNCT
ejpam-3715	104	49	+	+	NUM
ejpam-3715	104	50	n2	n2	ADJ
ejpam-3715	104	51	2	2	NUM
ejpam-3715	104	52	]	]	PUNCT
ejpam-3715	104	53	.	.	PUNCT
ejpam-3715	105	1	similarly	similarly	ADV
ejpam-3715	105	2	,	,	PUNCT
ejpam-3715	105	3	isi[℘	isi[℘	X
ejpam-3715	105	4	]	]	X
ejpam-3715	105	5	≤	≤	NUM
ejpam-3715	105	6	m1m2(δh	m1m2(δh	NOUN
ejpam-3715	105	7	+	+	CCONJ
ejpam-3715	105	8	1	1	X
ejpam-3715	105	9	)	)	PUNCT
ejpam-3715	105	10	2	2	NUM
ejpam-3715	106	1	+	+	NOUN
ejpam-3715	106	2	m1n2	m1n2	X
ejpam-3715	106	3	[	[	PUNCT
ejpam-3715	106	4	(	(	PUNCT
ejpam-3715	106	5	δh	δh	ADP
ejpam-3715	106	6	+	+	NOUN
ejpam-3715	106	7	1).[(m1	1).[(m1	NUM
ejpam-3715	106	8	−	−	PROPN
ejpam-3715	106	9	1)−	1)−	NUM
ejpam-3715	106	10	2[δg	2[δg	NUM
ejpam-3715	106	11	−	−	NOUN
ejpam-3715	106	12	1	1	NUM
ejpam-3715	106	13	]	]	PUNCT
ejpam-3715	106	14	+	+	X
ejpam-3715	106	15	n2	n2	ADJ
ejpam-3715	106	16	]	]	X
ejpam-3715	106	17	δh	δh	ADP
ejpam-3715	106	18	+	+	PROPN
ejpam-3715	106	19	m1	m1	PROPN
ejpam-3715	106	20	−	−	ADP
ejpam-3715	106	21	2[δg	2[δg	NUM
ejpam-3715	106	22	−	−	PROPN
ejpam-3715	106	23	1	1	NUM
ejpam-3715	106	24	]	]	PUNCT
ejpam-3715	106	25	+	+	NUM
ejpam-3715	106	26	n2	n2	ADJ
ejpam-3715	106	27	]	]	PUNCT
ejpam-3715	106	28	m.	m.	PROPN
ejpam-3715	106	29	manjunath	manjunath	PROPN
ejpam-3715	106	30	,	,	PUNCT
ejpam-3715	106	31	v.	v.	ADP
ejpam-3715	106	32	lokesha	lokesha	PROPN
ejpam-3715	106	33	,	,	PUNCT
ejpam-3715	106	34	suvarna	suvarna	NOUN
ejpam-3715	106	35	,	,	PUNCT
ejpam-3715	106	36	s.	s.	PROPN
ejpam-3715	106	37	jain	jain	PROPN
ejpam-3715	106	38	/	/	SYM
ejpam-3715	106	39	eur	eur	PROPN
ejpam-3715	106	40	.	.	PUNCT
ejpam-3715	107	1	j.	j.	PROPN
ejpam-3715	107	2	pure	pure	PROPN
ejpam-3715	107	3	appl	appl	PROPN
ejpam-3715	107	4	.	.	PROPN
ejpam-3715	107	5	math	math	PROPN
ejpam-3715	107	6	,	,	PUNCT
ejpam-3715	107	7	14	14	NUM
ejpam-3715	107	8	(	(	PUNCT
ejpam-3715	107	9	2	2	NUM
ejpam-3715	107	10	)	)	PUNCT
ejpam-3715	107	11	(	(	PUNCT
ejpam-3715	107	12	2021	2021	NUM
ejpam-3715	107	13	)	)	PUNCT
ejpam-3715	107	14	,	,	PUNCT
ejpam-3715	107	15	340	340	NUM
ejpam-3715	107	16	-	-	SYM
ejpam-3715	107	17	350	350	NUM
ejpam-3715	107	18	344	344	NUM
ejpam-3715	107	19	+	+	CCONJ
ejpam-3715	107	20	[	[	PUNCT
ejpam-3715	107	21	m1(m1	m1(m1	NOUN
ejpam-3715	107	22	−	−	PROPN
ejpam-3715	107	23	1	1	NUM
ejpam-3715	107	24	)	)	PUNCT
ejpam-3715	107	25	2	2	NUM
ejpam-3715	107	26	−m1(δg	−m1(δg	NUM
ejpam-3715	107	27	−	−	NOUN
ejpam-3715	107	28	1	1	NUM
ejpam-3715	107	29	)	)	PUNCT
ejpam-3715	107	30	]	]	PUNCT
ejpam-3715	107	31	[	[	PUNCT
ejpam-3715	107	32	(	(	PUNCT
ejpam-3715	107	33	m1	m1	PROPN
ejpam-3715	107	34	−	−	PROPN
ejpam-3715	107	35	1)−	1)−	PROPN
ejpam-3715	107	36	2[δg	2[δg	NUM
ejpam-3715	107	37	−	−	NOUN
ejpam-3715	107	38	1	1	NUM
ejpam-3715	107	39	]	]	PUNCT
ejpam-3715	107	40	+	+	NUM
ejpam-3715	107	41	n2	n2	ADJ
ejpam-3715	107	42	2	2	NUM
ejpam-3715	107	43	]	]	PUNCT
ejpam-3715	107	44	.	.	PUNCT
ejpam-3715	108	1	theorem	theorem	NOUN
ejpam-3715	108	2	2	2	X
ejpam-3715	108	3	.	.	PUNCT
ejpam-3715	109	1	let	let	VERB
ejpam-3715	109	2	g	g	NOUN
ejpam-3715	109	3	and	and	CCONJ
ejpam-3715	109	4	h	h	NOUN
ejpam-3715	109	5	are	be	AUX
ejpam-3715	109	6	two	two	NUM
ejpam-3715	109	7	simple	simple	ADJ
ejpam-3715	109	8	connected	connected	ADJ
ejpam-3715	109	9	graphs	graph	NOUN
ejpam-3715	109	10	,	,	PUNCT
ejpam-3715	109	11	then	then	ADV
ejpam-3715	109	12	the	the	DET
ejpam-3715	109	13	bounds	bound	NOUN
ejpam-3715	109	14	for	for	ADP
ejpam-3715	109	15	the	the	DET
ejpam-3715	109	16	geometric	geometric	ADJ
ejpam-3715	109	17	-	-	PUNCT
ejpam-3715	109	18	arithmetic	arithmetic	ADJ
ejpam-3715	109	19	index	index	NOUN
ejpam-3715	109	20	of	of	ADP
ejpam-3715	109	21	℘	℘	PROPN
ejpam-3715	109	22	are	be	AUX
ejpam-3715	109	23	given	give	VERB
ejpam-3715	109	24	by	by	ADP
ejpam-3715	109	25	ga[℘	ga[℘	PROPN
ejpam-3715	109	26	]	]	X
ejpam-3715	109	27	≥	≥	X
ejpam-3715	109	28	m1m2	m1m2	X
ejpam-3715	109	29	+	+	X
ejpam-3715	109	30	2m1n2	2m1n2	NUM
ejpam-3715	109	31	√	√	NUM
ejpam-3715	109	32	(	(	PUNCT
ejpam-3715	109	33	∆h	∆h	PROPN
ejpam-3715	109	34	+	+	NUM
ejpam-3715	109	35	1).[(m1	1).[(m1	NUM
ejpam-3715	109	36	−	−	PROPN
ejpam-3715	109	37	1)−	1)−	NUM
ejpam-3715	109	38	2[∆g	2[∆g	NUM
ejpam-3715	109	39	−	−	NOUN
ejpam-3715	109	40	1	1	NUM
ejpam-3715	109	41	]	]	PUNCT
ejpam-3715	109	42	+	+	NUM
ejpam-3715	109	43	n2	n2	ADJ
ejpam-3715	109	44	]	]	X
ejpam-3715	109	45	∆h	∆h	PROPN
ejpam-3715	109	46	+	+	PROPN
ejpam-3715	109	47	m1	m1	PROPN
ejpam-3715	109	48	−	−	PROPN
ejpam-3715	109	49	2[∆g	2[∆g	NUM
ejpam-3715	109	50	−	−	NOUN
ejpam-3715	109	51	1	1	NUM
ejpam-3715	109	52	]	]	PUNCT
ejpam-3715	110	1	+	+	CCONJ
ejpam-3715	110	2	n2	n2	ADJ
ejpam-3715	110	3	+	+	CCONJ
ejpam-3715	110	4	m1(m1	m1(m1	NOUN
ejpam-3715	110	5	−	−	NOUN
ejpam-3715	110	6	1	1	NUM
ejpam-3715	110	7	)	)	PUNCT
ejpam-3715	110	8	2	2	NUM
ejpam-3715	110	9	−m1(∆g	−m1(∆g	NOUN
ejpam-3715	110	10	−	−	PROPN
ejpam-3715	110	11	1	1	NUM
ejpam-3715	110	12	)	)	PUNCT
ejpam-3715	110	13	and	and	CCONJ
ejpam-3715	110	14	ga[℘	ga[℘	PROPN
ejpam-3715	110	15	]	]	X
ejpam-3715	110	16	≤	≤	X
ejpam-3715	111	1	m1m2	m1m2	X
ejpam-3715	111	2	+	+	X
ejpam-3715	111	3	2m1n2	2m1n2	NUM
ejpam-3715	111	4	√	√	NUM
ejpam-3715	111	5	(	(	PUNCT
ejpam-3715	111	6	δh	δh	ADP
ejpam-3715	111	7	+	+	CCONJ
ejpam-3715	111	8	1).[(m1	1).[(m1	NUM
ejpam-3715	111	9	−	−	PROPN
ejpam-3715	111	10	1)−	1)−	NUM
ejpam-3715	111	11	2[δg	2[δg	NUM
ejpam-3715	111	12	−	−	NOUN
ejpam-3715	111	13	1	1	NUM
ejpam-3715	111	14	]	]	PUNCT
ejpam-3715	111	15	+	+	X
ejpam-3715	111	16	n2	n2	ADJ
ejpam-3715	111	17	]	]	X
ejpam-3715	111	18	δh	δh	ADP
ejpam-3715	111	19	+	+	PROPN
ejpam-3715	111	20	m1	m1	PROPN
ejpam-3715	111	21	−	−	ADP
ejpam-3715	111	22	2[δg	2[δg	NUM
ejpam-3715	111	23	−	−	PROPN
ejpam-3715	111	24	1	1	NUM
ejpam-3715	111	25	]	]	PUNCT
ejpam-3715	112	1	+	+	CCONJ
ejpam-3715	112	2	n2	n2	ADJ
ejpam-3715	112	3	+	+	CCONJ
ejpam-3715	112	4	m1(m1	m1(m1	NOUN
ejpam-3715	112	5	−	−	NOUN
ejpam-3715	112	6	1	1	NUM
ejpam-3715	112	7	)	)	PUNCT
ejpam-3715	112	8	2	2	NUM
ejpam-3715	112	9	−m1(δg	−m1(δg	NUM
ejpam-3715	112	10	−	−	NOUN
ejpam-3715	112	11	1	1	NUM
ejpam-3715	112	12	)	)	PUNCT
ejpam-3715	112	13	.	.	PUNCT
ejpam-3715	113	1	proof	proof	NOUN
ejpam-3715	113	2	.	.	PUNCT
ejpam-3715	114	1	consider	consider	VERB
ejpam-3715	114	2	ga[℘	ga[℘	NOUN
ejpam-3715	114	3	]	]	X
ejpam-3715	114	4	=	=	SYM
ejpam-3715	114	5	m1	m1	PROPN
ejpam-3715	114	6	∑	∑	PUNCT
ejpam-3715	114	7	uv∈e(h	uv∈e(h	NUM
ejpam-3715	114	8	)	)	PUNCT
ejpam-3715	114	9	[	[	PUNCT
ejpam-3715	114	10	2	2	NUM
ejpam-3715	114	11	√	√	NUM
ejpam-3715	114	12	(	(	PUNCT
ejpam-3715	114	13	deghu+	deghu+	X
ejpam-3715	114	14	1).(deghv	1).(deghv	ADV
ejpam-3715	114	15	+	+	NOUN
ejpam-3715	114	16	1	1	X
ejpam-3715	114	17	)	)	PUNCT
ejpam-3715	114	18	(	(	PUNCT
ejpam-3715	114	19	deghu+	deghu+	NOUN
ejpam-3715	114	20	1	1	NUM
ejpam-3715	114	21	)	)	PUNCT
ejpam-3715	114	22	+	+	CCONJ
ejpam-3715	114	23	(	(	PUNCT
ejpam-3715	114	24	deghv	deghv	NOUN
ejpam-3715	114	25	+	+	NOUN
ejpam-3715	114	26	1	1	NUM
ejpam-3715	114	27	)	)	PUNCT
ejpam-3715	114	28	]	]	PUNCT
ejpam-3715	115	1	+	+	CCONJ
ejpam-3715	115	2	∑	∑	PUNCT
ejpam-3715	115	3	ef∈e(j	ef∈e(j	NOUN
ejpam-3715	115	4	[	[	X
ejpam-3715	115	5	g	g	X
ejpam-3715	115	6	]	]	PUNCT
ejpam-3715	115	7	)	)	PUNCT
ejpam-3715	116	1	[	[	X
ejpam-3715	116	2	2	2	NUM
ejpam-3715	116	3	√	√	NUM
ejpam-3715	116	4	(	(	PUNCT
ejpam-3715	116	5	degj	degj	NOUN
ejpam-3715	116	6	[	[	X
ejpam-3715	116	7	g]e+	g]e+	PROPN
ejpam-3715	116	8	n2).(degj	n2).(degj	PROPN
ejpam-3715	117	1	[	[	X
ejpam-3715	117	2	g]f	g]f	NOUN
ejpam-3715	117	3	+	+	CCONJ
ejpam-3715	117	4	n2	n2	ADJ
ejpam-3715	117	5	)	)	PUNCT
ejpam-3715	117	6	(	(	PUNCT
ejpam-3715	117	7	degj	degj	NOUN
ejpam-3715	117	8	[	[	X
ejpam-3715	117	9	g]e+	g]e+	NOUN
ejpam-3715	117	10	n2	n2	NOUN
ejpam-3715	117	11	)	)	PUNCT
ejpam-3715	117	12	+	+	CCONJ
ejpam-3715	117	13	(	(	PUNCT
ejpam-3715	117	14	degj	degj	ADJ
ejpam-3715	117	15	[	[	X
ejpam-3715	117	16	g]f	g]f	NOUN
ejpam-3715	117	17	+	+	CCONJ
ejpam-3715	117	18	n2	n2	ADJ
ejpam-3715	117	19	)	)	PUNCT
ejpam-3715	117	20	]	]	PUNCT
ejpam-3715	118	1	+	+	CCONJ
ejpam-3715	118	2	∑	∑	ADV
ejpam-3715	118	3	e∈v	e∈v	NOUN
ejpam-3715	118	4	(	(	PUNCT
ejpam-3715	118	5	j	j	PROPN
ejpam-3715	118	6	[	[	X
ejpam-3715	118	7	g	g	NOUN
ejpam-3715	118	8	]	]	X
ejpam-3715	118	9	)	)	PUNCT
ejpam-3715	118	10	∑	∑	ADV
ejpam-3715	118	11	u∈v	u∈v	NOUN
ejpam-3715	118	12	(	(	PUNCT
ejpam-3715	118	13	h	h	NOUN
ejpam-3715	118	14	)	)	PUNCT
ejpam-3715	119	1	[	[	X
ejpam-3715	119	2	2	2	NUM
ejpam-3715	119	3	√	√	VERB
ejpam-3715	119	4	(	(	PUNCT
ejpam-3715	119	5	deghu+	deghu+	PROPN
ejpam-3715	119	6	1).(degj(g)e+	1).(degj(g)e+	NUM
ejpam-3715	119	7	n2	n2	NOUN
ejpam-3715	119	8	)	)	PUNCT
ejpam-3715	119	9	(	(	PUNCT
ejpam-3715	119	10	deghu+	deghu+	NOUN
ejpam-3715	119	11	1	1	NUM
ejpam-3715	119	12	)	)	PUNCT
ejpam-3715	119	13	+	+	CCONJ
ejpam-3715	119	14	(	(	PUNCT
ejpam-3715	119	15	degj(g)e+	degj(g)e+	PROPN
ejpam-3715	119	16	n2	n2	PROPN
ejpam-3715	119	17	)	)	PUNCT
ejpam-3715	119	18	]	]	PUNCT
ejpam-3715	120	1	=	=	PUNCT
ejpam-3715	120	2	m1m2	m1m2	X
ejpam-3715	120	3	[	[	PUNCT
ejpam-3715	120	4	2	2	NUM
ejpam-3715	120	5	√	√	NUM
ejpam-3715	120	6	(	(	PUNCT
ejpam-3715	120	7	deghu+	deghu+	X
ejpam-3715	120	8	1).(deghv	1).(deghv	ADV
ejpam-3715	120	9	+	+	NOUN
ejpam-3715	120	10	1	1	X
ejpam-3715	120	11	)	)	PUNCT
ejpam-3715	120	12	(	(	PUNCT
ejpam-3715	120	13	deghu+	deghu+	NOUN
ejpam-3715	120	14	1	1	NUM
ejpam-3715	120	15	)	)	PUNCT
ejpam-3715	120	16	+	+	CCONJ
ejpam-3715	120	17	(	(	PUNCT
ejpam-3715	120	18	deghv	deghv	NOUN
ejpam-3715	120	19	+	+	NOUN
ejpam-3715	120	20	1	1	NUM
ejpam-3715	120	21	)	)	PUNCT
ejpam-3715	120	22	]	]	PUNCT
ejpam-3715	121	1	+	+	PUNCT
ejpam-3715	121	2	m1n2	m1n2	X
ejpam-3715	121	3	[	[	X
ejpam-3715	121	4	2	2	NUM
ejpam-3715	121	5	√	√	VERB
ejpam-3715	121	6	(	(	PUNCT
ejpam-3715	121	7	deghu+	deghu+	PROPN
ejpam-3715	121	8	1).(degj	1).(degj	NOUN
ejpam-3715	122	1	[	[	X
ejpam-3715	122	2	g]e+	g]e+	PROPN
ejpam-3715	122	3	n2	n2	NOUN
ejpam-3715	122	4	)	)	PUNCT
ejpam-3715	122	5	(	(	PUNCT
ejpam-3715	122	6	deghu+	deghu+	NOUN
ejpam-3715	122	7	1	1	NUM
ejpam-3715	122	8	)	)	PUNCT
ejpam-3715	122	9	+	+	CCONJ
ejpam-3715	122	10	(	(	PUNCT
ejpam-3715	122	11	degj	degj	ADJ
ejpam-3715	122	12	[	[	X
ejpam-3715	122	13	g]e+	g]e+	NOUN
ejpam-3715	122	14	n2	n2	NOUN
ejpam-3715	122	15	)	)	PUNCT
ejpam-3715	122	16	]	]	PUNCT
ejpam-3715	123	1	+	+	CCONJ
ejpam-3715	123	2	[	[	X
ejpam-3715	123	3	[	[	PUNCT
ejpam-3715	123	4	m1(m1	m1(m1	NOUN
ejpam-3715	123	5	−	−	PROPN
ejpam-3715	123	6	1	1	NUM
ejpam-3715	123	7	)	)	PUNCT
ejpam-3715	123	8	2	2	NUM
ejpam-3715	123	9	]	]	PUNCT
ejpam-3715	123	10	−m1	−m1	X
ejpam-3715	123	11	[	[	PUNCT
ejpam-3715	123	12	deggu+	deggu+	INTJ
ejpam-3715	123	13	deggv	deggv	PROPN
ejpam-3715	123	14	−	−	PROPN
ejpam-3715	123	15	2	2	NUM
ejpam-3715	123	16	2	2	NUM
ejpam-3715	123	17	]	]	PUNCT
ejpam-3715	123	18	]	]	X
ejpam-3715	124	1	[	[	X
ejpam-3715	124	2	2	2	NUM
ejpam-3715	124	3	√	√	PROPN
ejpam-3715	124	4	(	(	PUNCT
ejpam-3715	124	5	degj	degj	NOUN
ejpam-3715	124	6	[	[	X
ejpam-3715	124	7	g]e+	g]e+	PROPN
ejpam-3715	124	8	n2).(degj	n2).(degj	PROPN
ejpam-3715	125	1	[	[	X
ejpam-3715	125	2	g]f	g]f	NOUN
ejpam-3715	125	3	+	+	CCONJ
ejpam-3715	125	4	n2	n2	ADJ
ejpam-3715	125	5	)	)	PUNCT
ejpam-3715	125	6	(	(	PUNCT
ejpam-3715	125	7	degj	degj	NOUN
ejpam-3715	125	8	[	[	X
ejpam-3715	125	9	g]e+	g]e+	NOUN
ejpam-3715	125	10	n2	n2	NOUN
ejpam-3715	125	11	)	)	PUNCT
ejpam-3715	126	1	+	+	CCONJ
ejpam-3715	126	2	(	(	PUNCT
ejpam-3715	126	3	degj	degj	ADJ
ejpam-3715	126	4	[	[	X
ejpam-3715	126	5	g]f	g]f	NOUN
ejpam-3715	126	6	+	+	CCONJ
ejpam-3715	126	7	n2	n2	ADJ
ejpam-3715	126	8	)	)	PUNCT
ejpam-3715	126	9	]	]	PUNCT
ejpam-3715	127	1	=	=	PUNCT
ejpam-3715	127	2	m1m2	m1m2	X
ejpam-3715	127	3	[	[	PUNCT
ejpam-3715	127	4	2	2	NUM
ejpam-3715	127	5	√	√	NUM
ejpam-3715	127	6	(	(	PUNCT
ejpam-3715	127	7	deghu+	deghu+	X
ejpam-3715	127	8	1).(deghv	1).(deghv	ADV
ejpam-3715	127	9	+	+	NOUN
ejpam-3715	127	10	1	1	X
ejpam-3715	127	11	)	)	PUNCT
ejpam-3715	127	12	(	(	PUNCT
ejpam-3715	127	13	deghu+	deghu+	NOUN
ejpam-3715	127	14	1	1	NUM
ejpam-3715	127	15	)	)	PUNCT
ejpam-3715	127	16	+	+	CCONJ
ejpam-3715	127	17	(	(	PUNCT
ejpam-3715	127	18	deghv	deghv	NOUN
ejpam-3715	127	19	+	+	NOUN
ejpam-3715	127	20	1	1	NUM
ejpam-3715	127	21	)	)	PUNCT
ejpam-3715	127	22	]	]	PUNCT
ejpam-3715	128	1	+	+	NUM
ejpam-3715	128	2	m1n2	m1n2	X
ejpam-3715	128	3	[	[	PUNCT
ejpam-3715	128	4	2	2	NUM
ejpam-3715	128	5	√	√	VERB
ejpam-3715	128	6	(	(	PUNCT
ejpam-3715	128	7	deghu+	deghu+	NOUN
ejpam-3715	128	8	1).[(m1	1).[(m1	NUM
ejpam-3715	128	9	−	−	PROPN
ejpam-3715	128	10	1)−	1)−	PROPN
ejpam-3715	129	1	[	[	X
ejpam-3715	129	2	deggu+	deggu+	X
ejpam-3715	129	3	deggv	deggv	PROPN
ejpam-3715	129	4	−	−	PROPN
ejpam-3715	129	5	2	2	NUM
ejpam-3715	129	6	]	]	PUNCT
ejpam-3715	129	7	+	+	X
ejpam-3715	129	8	n2	n2	ADJ
ejpam-3715	129	9	]	]	X
ejpam-3715	129	10	(	(	PUNCT
ejpam-3715	129	11	deghu+	deghu+	NOUN
ejpam-3715	129	12	1	1	NUM
ejpam-3715	129	13	)	)	PUNCT
ejpam-3715	129	14	+	+	CCONJ
ejpam-3715	130	1	[	[	X
ejpam-3715	130	2	(	(	PUNCT
ejpam-3715	130	3	m1	m1	PROPN
ejpam-3715	130	4	−	−	PROPN
ejpam-3715	130	5	1)−	1)−	PROPN
ejpam-3715	131	1	[	[	X
ejpam-3715	131	2	deggu+	deggu+	X
ejpam-3715	131	3	deggv	deggv	PROPN
ejpam-3715	131	4	−	−	PROPN
ejpam-3715	131	5	2	2	NUM
ejpam-3715	131	6	]	]	PUNCT
ejpam-3715	131	7	+	+	X
ejpam-3715	131	8	n2	n2	ADJ
ejpam-3715	131	9	]	]	X
ejpam-3715	131	10	]	]	PUNCT
ejpam-3715	132	1	+	+	CCONJ
ejpam-3715	132	2	[	[	X
ejpam-3715	132	3	[	[	PUNCT
ejpam-3715	132	4	m1(m1	m1(m1	NOUN
ejpam-3715	132	5	−	−	PROPN
ejpam-3715	132	6	1	1	NUM
ejpam-3715	132	7	)	)	PUNCT
ejpam-3715	132	8	2	2	NUM
ejpam-3715	132	9	]	]	PUNCT
ejpam-3715	132	10	−m1	−m1	X
ejpam-3715	132	11	[	[	PUNCT
ejpam-3715	132	12	deggu+	deggu+	INTJ
ejpam-3715	132	13	deggv	deggv	PROPN
ejpam-3715	132	14	−	−	PROPN
ejpam-3715	132	15	2	2	NUM
ejpam-3715	132	16	2	2	NUM
ejpam-3715	132	17	]	]	PUNCT
ejpam-3715	132	18	]	]	X
ejpam-3715	133	1	[	[	PUNCT
ejpam-3715	133	2	2	2	NUM
ejpam-3715	133	3	√	√	PROPN
ejpam-3715	134	1	[	[	X
ejpam-3715	134	2	(	(	PUNCT
ejpam-3715	134	3	m1	m1	PROPN
ejpam-3715	134	4	−	−	PROPN
ejpam-3715	134	5	1)−	1)−	PROPN
ejpam-3715	135	1	[	[	X
ejpam-3715	135	2	deggu+	deggu+	X
ejpam-3715	135	3	deggv	deggv	PROPN
ejpam-3715	135	4	−	−	PROPN
ejpam-3715	135	5	2	2	X
ejpam-3715	135	6	]	]	PUNCT
ejpam-3715	135	7	+	+	NUM
ejpam-3715	135	8	n2].[(m1	n2].[(m1	NOUN
ejpam-3715	136	1	−	−	PROPN
ejpam-3715	136	2	1)−	1)−	PROPN
ejpam-3715	137	1	[	[	X
ejpam-3715	137	2	deggu+	deggu+	X
ejpam-3715	137	3	deggv	deggv	PROPN
ejpam-3715	137	4	−	−	PROPN
ejpam-3715	137	5	2	2	NUM
ejpam-3715	137	6	]	]	PUNCT
ejpam-3715	137	7	+	+	X
ejpam-3715	137	8	n2	n2	ADJ
ejpam-3715	137	9	]	]	X
ejpam-3715	138	1	[	[	X
ejpam-3715	138	2	(	(	PUNCT
ejpam-3715	138	3	m1	m1	PROPN
ejpam-3715	138	4	−	−	PROPN
ejpam-3715	138	5	1)−	1)−	PROPN
ejpam-3715	139	1	[	[	X
ejpam-3715	139	2	deggu+	deggu+	X
ejpam-3715	139	3	deggv	deggv	PROPN
ejpam-3715	139	4	−	−	PROPN
ejpam-3715	139	5	2	2	NUM
ejpam-3715	139	6	]	]	PUNCT
ejpam-3715	139	7	+	+	X
ejpam-3715	139	8	n2	n2	ADJ
ejpam-3715	139	9	]	]	X
ejpam-3715	139	10	+	+	CCONJ
ejpam-3715	140	1	[	[	X
ejpam-3715	140	2	(	(	PUNCT
ejpam-3715	140	3	m1	m1	PROPN
ejpam-3715	140	4	−	−	PROPN
ejpam-3715	140	5	1)−	1)−	PROPN
ejpam-3715	141	1	[	[	X
ejpam-3715	141	2	deggu+	deggu+	X
ejpam-3715	141	3	deggv	deggv	PROPN
ejpam-3715	141	4	−	−	PROPN
ejpam-3715	141	5	2	2	NUM
ejpam-3715	141	6	]	]	PUNCT
ejpam-3715	141	7	+	+	X
ejpam-3715	141	8	n2	n2	ADJ
ejpam-3715	141	9	]	]	X
ejpam-3715	141	10	]	]	PUNCT
ejpam-3715	141	11	≥	≥	X
ejpam-3715	141	12	m1m2	m1m2	X
ejpam-3715	141	13	[	[	PUNCT
ejpam-3715	141	14	2	2	NUM
ejpam-3715	141	15	√	√	PROPN
ejpam-3715	141	16	(	(	PUNCT
ejpam-3715	141	17	∆h	∆h	PROPN
ejpam-3715	141	18	+	+	NUM
ejpam-3715	141	19	1).(∆h	1).(∆h	NOUN
ejpam-3715	141	20	+	+	NOUN
ejpam-3715	141	21	1	1	NUM
ejpam-3715	141	22	)	)	PUNCT
ejpam-3715	141	23	(	(	PUNCT
ejpam-3715	141	24	∆h	∆h	NOUN
ejpam-3715	141	25	+	+	CCONJ
ejpam-3715	141	26	1	1	NUM
ejpam-3715	141	27	)	)	PUNCT
ejpam-3715	141	28	+	+	CCONJ
ejpam-3715	141	29	(	(	PUNCT
ejpam-3715	141	30	∆h	∆h	NOUN
ejpam-3715	141	31	+	+	NOUN
ejpam-3715	141	32	1	1	NUM
ejpam-3715	141	33	)	)	PUNCT
ejpam-3715	141	34	]	]	PUNCT
ejpam-3715	142	1	+	+	CCONJ
ejpam-3715	142	2	[	[	PUNCT
ejpam-3715	142	3	2m1n2	2m1n2	NUM
ejpam-3715	142	4	√	√	NUM
ejpam-3715	142	5	(	(	PUNCT
ejpam-3715	142	6	∆h	∆h	PROPN
ejpam-3715	142	7	+	+	NUM
ejpam-3715	142	8	1).[(m1	1).[(m1	NUM
ejpam-3715	143	1	−	−	PROPN
ejpam-3715	143	2	1)−	1)−	PROPN
ejpam-3715	144	1	[	[	X
ejpam-3715	144	2	∆g	∆g	PROPN
ejpam-3715	144	3	+	+	CCONJ
ejpam-3715	144	4	∆g	∆g	PROPN
ejpam-3715	144	5	−	−	PROPN
ejpam-3715	144	6	2	2	NUM
ejpam-3715	144	7	]	]	PUNCT
ejpam-3715	144	8	+	+	NUM
ejpam-3715	144	9	n2	n2	ADJ
ejpam-3715	144	10	]	]	X
ejpam-3715	144	11	∆h	∆h	PROPN
ejpam-3715	145	1	+	+	CCONJ
ejpam-3715	145	2	1	1	NUM
ejpam-3715	145	3	+	+	NOUN
ejpam-3715	145	4	m1	m1	NOUN
ejpam-3715	145	5	−	−	NOUN
ejpam-3715	145	6	1−	1−	NUM
ejpam-3715	146	1	[	[	X
ejpam-3715	146	2	∆g	∆g	PROPN
ejpam-3715	146	3	+	+	CCONJ
ejpam-3715	146	4	∆g	∆g	PROPN
ejpam-3715	146	5	−	−	PROPN
ejpam-3715	146	6	2	2	NUM
ejpam-3715	146	7	]	]	PUNCT
ejpam-3715	146	8	+	+	NUM
ejpam-3715	146	9	n2	n2	ADJ
ejpam-3715	146	10	]	]	PUNCT
ejpam-3715	146	11	m.	m.	PROPN
ejpam-3715	146	12	manjunath	manjunath	PROPN
ejpam-3715	146	13	,	,	PUNCT
ejpam-3715	146	14	v.	v.	ADP
ejpam-3715	146	15	lokesha	lokesha	PROPN
ejpam-3715	146	16	,	,	PUNCT
ejpam-3715	146	17	suvarna	suvarna	NOUN
ejpam-3715	146	18	,	,	PUNCT
ejpam-3715	146	19	s.	s.	PROPN
ejpam-3715	146	20	jain	jain	PROPN
ejpam-3715	146	21	/	/	SYM
ejpam-3715	146	22	eur	eur	PROPN
ejpam-3715	146	23	.	.	PUNCT
ejpam-3715	147	1	j.	j.	PROPN
ejpam-3715	147	2	pure	pure	PROPN
ejpam-3715	147	3	appl	appl	PROPN
ejpam-3715	147	4	.	.	PROPN
ejpam-3715	147	5	math	math	PROPN
ejpam-3715	147	6	,	,	PUNCT
ejpam-3715	147	7	14	14	NUM
ejpam-3715	147	8	(	(	PUNCT
ejpam-3715	147	9	2	2	NUM
ejpam-3715	147	10	)	)	PUNCT
ejpam-3715	147	11	(	(	PUNCT
ejpam-3715	147	12	2021	2021	NUM
ejpam-3715	147	13	)	)	PUNCT
ejpam-3715	147	14	,	,	PUNCT
ejpam-3715	147	15	340	340	NUM
ejpam-3715	147	16	-	-	SYM
ejpam-3715	147	17	350	350	NUM
ejpam-3715	147	18	345	345	NUM
ejpam-3715	147	19	+	+	CCONJ
ejpam-3715	148	1	[	[	X
ejpam-3715	148	2	[	[	PUNCT
ejpam-3715	148	3	m1(m1	m1(m1	NOUN
ejpam-3715	148	4	−	−	PROPN
ejpam-3715	148	5	1	1	NUM
ejpam-3715	148	6	)	)	PUNCT
ejpam-3715	148	7	2	2	NUM
ejpam-3715	148	8	]	]	PUNCT
ejpam-3715	148	9	−m1	−m1	PROPN
ejpam-3715	148	10	[	[	PUNCT
ejpam-3715	148	11	∆g	∆g	PROPN
ejpam-3715	148	12	+	+	CCONJ
ejpam-3715	148	13	∆g	∆g	PROPN
ejpam-3715	148	14	−	−	NUM
ejpam-3715	148	15	2	2	NUM
ejpam-3715	148	16	2	2	NUM
ejpam-3715	148	17	]	]	PUNCT
ejpam-3715	148	18	]	]	X
ejpam-3715	149	1	[	[	PUNCT
ejpam-3715	149	2	2	2	NUM
ejpam-3715	149	3	√	√	PROPN
ejpam-3715	150	1	[	[	X
ejpam-3715	150	2	(	(	PUNCT
ejpam-3715	150	3	m1	m1	PROPN
ejpam-3715	150	4	−	−	PROPN
ejpam-3715	150	5	1)−	1)−	PROPN
ejpam-3715	151	1	[	[	X
ejpam-3715	151	2	∆g	∆g	PROPN
ejpam-3715	151	3	+	+	CCONJ
ejpam-3715	151	4	∆g	∆g	PROPN
ejpam-3715	152	1	−	−	PROPN
ejpam-3715	152	2	2	2	NUM
ejpam-3715	152	3	]	]	PUNCT
ejpam-3715	152	4	+	+	NUM
ejpam-3715	152	5	n2].[(m1	n2].[(m1	NOUN
ejpam-3715	152	6	−	−	PROPN
ejpam-3715	153	1	1)−	1)−	PROPN
ejpam-3715	154	1	[	[	X
ejpam-3715	154	2	∆g	∆g	PROPN
ejpam-3715	154	3	+	+	CCONJ
ejpam-3715	154	4	∆g	∆g	PROPN
ejpam-3715	154	5	−	−	PROPN
ejpam-3715	154	6	2	2	NUM
ejpam-3715	154	7	]	]	PUNCT
ejpam-3715	154	8	+	+	X
ejpam-3715	154	9	n2	n2	ADJ
ejpam-3715	154	10	]	]	X
ejpam-3715	155	1	[	[	X
ejpam-3715	155	2	(	(	PUNCT
ejpam-3715	155	3	m1	m1	PROPN
ejpam-3715	155	4	−	−	PROPN
ejpam-3715	155	5	1)−	1)−	PROPN
ejpam-3715	156	1	[	[	X
ejpam-3715	156	2	∆g	∆g	PROPN
ejpam-3715	156	3	+	+	CCONJ
ejpam-3715	156	4	∆g	∆g	PROPN
ejpam-3715	156	5	−	−	PROPN
ejpam-3715	156	6	2	2	NUM
ejpam-3715	156	7	]	]	PUNCT
ejpam-3715	156	8	+	+	X
ejpam-3715	156	9	n2	n2	ADJ
ejpam-3715	156	10	]	]	X
ejpam-3715	157	1	+	+	CCONJ
ejpam-3715	158	1	[	[	X
ejpam-3715	158	2	(	(	PUNCT
ejpam-3715	158	3	m1	m1	PROPN
ejpam-3715	158	4	−	−	PROPN
ejpam-3715	158	5	1)−	1)−	PROPN
ejpam-3715	159	1	[	[	X
ejpam-3715	159	2	∆g	∆g	PROPN
ejpam-3715	159	3	+	+	CCONJ
ejpam-3715	159	4	∆g	∆g	PROPN
ejpam-3715	159	5	−	−	PROPN
ejpam-3715	159	6	2	2	NUM
ejpam-3715	159	7	]	]	PUNCT
ejpam-3715	159	8	+	+	X
ejpam-3715	159	9	n2	n2	ADJ
ejpam-3715	159	10	]	]	X
ejpam-3715	159	11	]	]	PUNCT
ejpam-3715	159	12	.	.	PUNCT
ejpam-3715	160	1	ga[℘	ga[℘	PROPN
ejpam-3715	160	2	]	]	X
ejpam-3715	160	3	≥	≥	X
ejpam-3715	160	4	m1m2	m1m2	X
ejpam-3715	160	5	+	+	X
ejpam-3715	160	6	2m1n2	2m1n2	NUM
ejpam-3715	160	7	√	√	NUM
ejpam-3715	160	8	(	(	PUNCT
ejpam-3715	160	9	∆h	∆h	PROPN
ejpam-3715	160	10	+	+	NUM
ejpam-3715	160	11	1).[(m1	1).[(m1	NUM
ejpam-3715	161	1	−	−	PROPN
ejpam-3715	161	2	1)−	1)−	NUM
ejpam-3715	161	3	2[∆g	2[∆g	NUM
ejpam-3715	161	4	−	−	NOUN
ejpam-3715	161	5	1	1	NUM
ejpam-3715	161	6	]	]	PUNCT
ejpam-3715	161	7	+	+	NUM
ejpam-3715	161	8	n2	n2	ADJ
ejpam-3715	161	9	]	]	X
ejpam-3715	161	10	∆h	∆h	PROPN
ejpam-3715	161	11	+	+	PROPN
ejpam-3715	161	12	m1	m1	PROPN
ejpam-3715	161	13	−	−	PROPN
ejpam-3715	161	14	2[∆g	2[∆g	NUM
ejpam-3715	161	15	−	−	NOUN
ejpam-3715	161	16	1	1	NUM
ejpam-3715	161	17	]	]	PUNCT
ejpam-3715	161	18	+	+	CCONJ
ejpam-3715	161	19	n2	n2	ADJ
ejpam-3715	161	20	+	+	CCONJ
ejpam-3715	161	21	m1(m1	m1(m1	NOUN
ejpam-3715	161	22	−	−	NOUN
ejpam-3715	161	23	1	1	NUM
ejpam-3715	161	24	)	)	PUNCT
ejpam-3715	161	25	2	2	NUM
ejpam-3715	161	26	−m1(∆g	−m1(∆g	NOUN
ejpam-3715	161	27	−	−	PROPN
ejpam-3715	161	28	1	1	NUM
ejpam-3715	161	29	)	)	PUNCT
ejpam-3715	161	30	.	.	PUNCT
ejpam-3715	162	1	similarly	similarly	ADV
ejpam-3715	162	2	,	,	PUNCT
ejpam-3715	162	3	ga[℘	ga[℘	PROPN
ejpam-3715	162	4	]	]	X
ejpam-3715	162	5	≤	≤	X
ejpam-3715	162	6	m1m2	m1m2	X
ejpam-3715	162	7	+	+	X
ejpam-3715	162	8	2m1n2	2m1n2	NUM
ejpam-3715	162	9	√	√	NUM
ejpam-3715	162	10	(	(	PUNCT
ejpam-3715	162	11	δh	δh	ADP
ejpam-3715	162	12	+	+	CCONJ
ejpam-3715	162	13	1).[(m1	1).[(m1	NUM
ejpam-3715	162	14	−	−	PROPN
ejpam-3715	162	15	1)−	1)−	NUM
ejpam-3715	162	16	2[δg	2[δg	NUM
ejpam-3715	162	17	−	−	NOUN
ejpam-3715	162	18	1	1	NUM
ejpam-3715	162	19	]	]	PUNCT
ejpam-3715	162	20	+	+	X
ejpam-3715	162	21	n2	n2	ADJ
ejpam-3715	162	22	]	]	X
ejpam-3715	162	23	δh	δh	ADP
ejpam-3715	162	24	+	+	PROPN
ejpam-3715	162	25	m1	m1	PROPN
ejpam-3715	162	26	−	−	ADP
ejpam-3715	162	27	2[δg	2[δg	NUM
ejpam-3715	162	28	−	−	PROPN
ejpam-3715	162	29	1	1	NUM
ejpam-3715	162	30	]	]	PUNCT
ejpam-3715	162	31	+	+	CCONJ
ejpam-3715	162	32	n2	n2	ADJ
ejpam-3715	162	33	+	+	CCONJ
ejpam-3715	162	34	m1(m1	m1(m1	NOUN
ejpam-3715	162	35	−	−	NOUN
ejpam-3715	162	36	1	1	NUM
ejpam-3715	162	37	)	)	PUNCT
ejpam-3715	162	38	2	2	NUM
ejpam-3715	162	39	−m1(δg	−m1(δg	NUM
ejpam-3715	162	40	−	−	NOUN
ejpam-3715	162	41	1	1	NUM
ejpam-3715	162	42	)	)	PUNCT
ejpam-3715	162	43	.	.	PUNCT
ejpam-3715	163	1	theorem	theorem	NOUN
ejpam-3715	163	2	3	3	X
ejpam-3715	163	3	.	.	PUNCT
ejpam-3715	164	1	let	let	VERB
ejpam-3715	164	2	g	g	NOUN
ejpam-3715	164	3	and	and	CCONJ
ejpam-3715	164	4	h	h	NOUN
ejpam-3715	164	5	are	be	AUX
ejpam-3715	164	6	two	two	NUM
ejpam-3715	164	7	simple	simple	ADJ
ejpam-3715	164	8	connected	connected	ADJ
ejpam-3715	164	9	graphs	graph	NOUN
ejpam-3715	164	10	,	,	PUNCT
ejpam-3715	164	11	then	then	ADV
ejpam-3715	164	12	the	the	DET
ejpam-3715	164	13	bounds	bound	NOUN
ejpam-3715	164	14	for	for	ADP
ejpam-3715	164	15	the	the	DET
ejpam-3715	164	16	atom	atom	NOUN
ejpam-3715	164	17	-	-	PUNCT
ejpam-3715	164	18	bond	bond	NOUN
ejpam-3715	164	19	connective	connective	ADJ
ejpam-3715	164	20	index	index	NOUN
ejpam-3715	164	21	of	of	ADP
ejpam-3715	164	22	℘	℘	PROPN
ejpam-3715	164	23	are	be	AUX
ejpam-3715	164	24	given	give	VERB
ejpam-3715	164	25	by	by	ADP
ejpam-3715	164	26	abc[℘	abc[℘	NOUN
ejpam-3715	164	27	]	]	X
ejpam-3715	164	28	≥	≥	X
ejpam-3715	164	29	m1m2	m1m2	X
ejpam-3715	165	1	[	[	X
ejpam-3715	165	2	√	√	NUM
ejpam-3715	165	3	2∆h	2∆h	NUM
ejpam-3715	165	4	(	(	PUNCT
ejpam-3715	165	5	∆h	∆h	PROPN
ejpam-3715	165	6	+	+	X
ejpam-3715	165	7	1)2	1)2	NUM
ejpam-3715	165	8	]	]	PUNCT
ejpam-3715	166	1	+	+	NOUN
ejpam-3715	166	2	m1n2	m1n2	NOUN
ejpam-3715	166	3	[	[	X
ejpam-3715	166	4	√	√	ADJ
ejpam-3715	166	5	∆h	∆h	PROPN
ejpam-3715	166	6	+	+	NOUN
ejpam-3715	166	7	m1	m1	PROPN
ejpam-3715	166	8	−	−	PROPN
ejpam-3715	166	9	2∆g	2∆g	PROPN
ejpam-3715	166	10	+	+	CCONJ
ejpam-3715	166	11	n2	n2	ADJ
ejpam-3715	167	1	[	[	X
ejpam-3715	167	2	∆h	∆h	PROPN
ejpam-3715	167	3	+	+	PROPN
ejpam-3715	167	4	1].[m1	1].[m1	PROPN
ejpam-3715	167	5	−	−	PROPN
ejpam-3715	167	6	1−	1−	NUM
ejpam-3715	167	7	2[∆g	2[∆g	NUM
ejpam-3715	167	8	−	−	NOUN
ejpam-3715	167	9	1	1	NUM
ejpam-3715	167	10	]	]	PUNCT
ejpam-3715	167	11	+	+	X
ejpam-3715	167	12	n2	n2	ADJ
ejpam-3715	167	13	]	]	X
ejpam-3715	167	14	]	]	PUNCT
ejpam-3715	168	1	+	+	CCONJ
ejpam-3715	168	2	[	[	X
ejpam-3715	168	3	[	[	PUNCT
ejpam-3715	168	4	m1(m1	m1(m1	NOUN
ejpam-3715	168	5	−	−	PROPN
ejpam-3715	168	6	1	1	NUM
ejpam-3715	168	7	)	)	PUNCT
ejpam-3715	168	8	2	2	NUM
ejpam-3715	168	9	]	]	PUNCT
ejpam-3715	168	10	−m1(∆g	−m1(∆g	PROPN
ejpam-3715	168	11	−	−	NOUN
ejpam-3715	168	12	1	1	NUM
ejpam-3715	168	13	)	)	PUNCT
ejpam-3715	168	14	]	]	PUNCT
ejpam-3715	169	1	[	[	X
ejpam-3715	169	2	√	√	ADP
ejpam-3715	169	3	2[m1	2[m1	NUM
ejpam-3715	169	4	−	−	PROPN
ejpam-3715	169	5	2∆g	2∆g	PROPN
ejpam-3715	169	6	+	+	X
ejpam-3715	169	7	n2	n2	ADJ
ejpam-3715	169	8	]	]	X
ejpam-3715	170	1	[	[	X
ejpam-3715	170	2	(	(	PUNCT
ejpam-3715	170	3	m1	m1	PROPN
ejpam-3715	170	4	−	−	PROPN
ejpam-3715	170	5	1)−	1)−	PROPN
ejpam-3715	170	6	2[∆g	2[∆g	NUM
ejpam-3715	170	7	−	−	NOUN
ejpam-3715	170	8	1	1	NUM
ejpam-3715	170	9	]	]	PUNCT
ejpam-3715	170	10	+	+	NUM
ejpam-3715	170	11	n2]2	n2]2	NOUN
ejpam-3715	170	12	]	]	PUNCT
ejpam-3715	170	13	and	and	CCONJ
ejpam-3715	170	14	abc[℘	abc[℘	VERB
ejpam-3715	170	15	]	]	X
ejpam-3715	170	16	≤	≤	NUM
ejpam-3715	170	17	m1m2	m1m2	X
ejpam-3715	171	1	[	[	X
ejpam-3715	171	2	√	√	X
ejpam-3715	171	3	2δh	2δh	NOUN
ejpam-3715	171	4	(	(	PUNCT
ejpam-3715	171	5	δh	δh	ADP
ejpam-3715	171	6	+	+	X
ejpam-3715	171	7	1)2	1)2	NUM
ejpam-3715	171	8	]	]	PUNCT
ejpam-3715	172	1	+	+	NOUN
ejpam-3715	172	2	m1n2	m1n2	NOUN
ejpam-3715	172	3	[	[	X
ejpam-3715	172	4	√	√	INTJ
ejpam-3715	172	5	δh	δh	ADP
ejpam-3715	172	6	+	+	NOUN
ejpam-3715	172	7	m1	m1	PROPN
ejpam-3715	172	8	−	−	ADP
ejpam-3715	172	9	2δg	2δg	NOUN
ejpam-3715	172	10	+	+	CCONJ
ejpam-3715	172	11	n2	n2	ADJ
ejpam-3715	173	1	[	[	X
ejpam-3715	173	2	δh	δh	ADP
ejpam-3715	173	3	+	+	NOUN
ejpam-3715	173	4	1].[m1	1].[m1	NUM
ejpam-3715	173	5	−	−	NOUN
ejpam-3715	173	6	1−	1−	NUM
ejpam-3715	173	7	2[δg	2[δg	NUM
ejpam-3715	174	1	−	−	NOUN
ejpam-3715	174	2	1	1	NUM
ejpam-3715	174	3	]	]	PUNCT
ejpam-3715	174	4	+	+	X
ejpam-3715	174	5	n2	n2	ADJ
ejpam-3715	174	6	]	]	X
ejpam-3715	174	7	]	]	PUNCT
ejpam-3715	175	1	+	+	CCONJ
ejpam-3715	175	2	[	[	X
ejpam-3715	175	3	[	[	PUNCT
ejpam-3715	175	4	m1(m1	m1(m1	NOUN
ejpam-3715	175	5	−	−	PROPN
ejpam-3715	175	6	1	1	NUM
ejpam-3715	175	7	)	)	PUNCT
ejpam-3715	175	8	2	2	NUM
ejpam-3715	175	9	]	]	PUNCT
ejpam-3715	175	10	−m1(δg	−m1(δg	NUM
ejpam-3715	175	11	−	−	NOUN
ejpam-3715	175	12	1	1	NUM
ejpam-3715	175	13	)	)	PUNCT
ejpam-3715	175	14	]	]	PUNCT
ejpam-3715	176	1	[	[	X
ejpam-3715	176	2	√	√	ADP
ejpam-3715	176	3	2[m1	2[m1	NUM
ejpam-3715	176	4	−	−	ADP
ejpam-3715	176	5	2δg	2δg	NOUN
ejpam-3715	176	6	+	+	CCONJ
ejpam-3715	176	7	n2	n2	ADJ
ejpam-3715	176	8	]	]	X
ejpam-3715	177	1	[	[	X
ejpam-3715	177	2	(	(	PUNCT
ejpam-3715	177	3	m1	m1	PROPN
ejpam-3715	177	4	−	−	PROPN
ejpam-3715	177	5	1)−	1)−	PROPN
ejpam-3715	177	6	2[δg	2[δg	NUM
ejpam-3715	177	7	−	−	NOUN
ejpam-3715	177	8	1	1	NUM
ejpam-3715	177	9	]	]	PUNCT
ejpam-3715	177	10	+	+	NUM
ejpam-3715	177	11	n2]2	n2]2	NOUN
ejpam-3715	177	12	]	]	PUNCT
ejpam-3715	177	13	.	.	PUNCT
ejpam-3715	178	1	proof	proof	NOUN
ejpam-3715	178	2	.	.	PUNCT
ejpam-3715	179	1	consider	consider	VERB
ejpam-3715	179	2	abc[℘	abc[℘	VERB
ejpam-3715	179	3	]	]	X
ejpam-3715	179	4	=	=	SYM
ejpam-3715	179	5	m1	m1	PROPN
ejpam-3715	179	6	∑	∑	PUNCT
ejpam-3715	179	7	uv∈e(h	uv∈e(h	NUM
ejpam-3715	179	8	)	)	PUNCT
ejpam-3715	180	1	[	[	X
ejpam-3715	180	2	√	√	INTJ
ejpam-3715	180	3	(	(	PUNCT
ejpam-3715	180	4	deghu+	deghu+	NOUN
ejpam-3715	180	5	1	1	NUM
ejpam-3715	180	6	)	)	PUNCT
ejpam-3715	180	7	+	+	CCONJ
ejpam-3715	180	8	(	(	PUNCT
ejpam-3715	180	9	deghv	deghv	NOUN
ejpam-3715	180	10	+	+	PROPN
ejpam-3715	181	1	1)−	1)−	NUM
ejpam-3715	181	2	2	2	NUM
ejpam-3715	181	3	(	(	PUNCT
ejpam-3715	181	4	deghu+	deghu+	X
ejpam-3715	181	5	1).(deghv	1).(deghv	ADV
ejpam-3715	181	6	+	+	NOUN
ejpam-3715	181	7	1	1	NUM
ejpam-3715	181	8	)	)	PUNCT
ejpam-3715	181	9	]	]	PUNCT
ejpam-3715	182	1	+	+	CCONJ
ejpam-3715	182	2	∑	∑	ADV
ejpam-3715	182	3	e∈v	e∈v	NOUN
ejpam-3715	182	4	(	(	PUNCT
ejpam-3715	182	5	j	j	PROPN
ejpam-3715	182	6	[	[	X
ejpam-3715	182	7	g	g	NOUN
ejpam-3715	182	8	]	]	X
ejpam-3715	182	9	)	)	PUNCT
ejpam-3715	182	10	∑	∑	ADV
ejpam-3715	182	11	u∈v	u∈v	NOUN
ejpam-3715	182	12	(	(	PUNCT
ejpam-3715	182	13	h	h	NOUN
ejpam-3715	182	14	)	)	PUNCT
ejpam-3715	183	1	[	[	X
ejpam-3715	183	2	√	√	INTJ
ejpam-3715	183	3	(	(	PUNCT
ejpam-3715	183	4	deghu+	deghu+	NOUN
ejpam-3715	183	5	1	1	NUM
ejpam-3715	183	6	)	)	PUNCT
ejpam-3715	183	7	+	+	CCONJ
ejpam-3715	183	8	(	(	PUNCT
ejpam-3715	183	9	degj(g)e+	degj(g)e+	PROPN
ejpam-3715	183	10	n2)−	n2)−	PROPN
ejpam-3715	183	11	2	2	NUM
ejpam-3715	183	12	(	(	PUNCT
ejpam-3715	183	13	deghu+	deghu+	PROPN
ejpam-3715	183	14	1).(degj(g)e+	1).(degj(g)e+	NUM
ejpam-3715	183	15	n2	n2	NOUN
ejpam-3715	183	16	)	)	PUNCT
ejpam-3715	183	17	]	]	PUNCT
ejpam-3715	184	1	+	+	CCONJ
ejpam-3715	184	2	∑	∑	PUNCT
ejpam-3715	184	3	ef∈e(j	ef∈e(j	NOUN
ejpam-3715	184	4	[	[	X
ejpam-3715	184	5	g	g	X
ejpam-3715	184	6	]	]	PUNCT
ejpam-3715	184	7	)	)	PUNCT
ejpam-3715	185	1	[	[	X
ejpam-3715	185	2	√	√	INTJ
ejpam-3715	185	3	(	(	PUNCT
ejpam-3715	185	4	degj	degj	NOUN
ejpam-3715	185	5	[	[	X
ejpam-3715	185	6	g]e+	g]e+	NOUN
ejpam-3715	185	7	n2	n2	NOUN
ejpam-3715	185	8	)	)	PUNCT
ejpam-3715	185	9	+	+	CCONJ
ejpam-3715	185	10	(	(	PUNCT
ejpam-3715	185	11	degj	degj	ADJ
ejpam-3715	185	12	[	[	X
ejpam-3715	185	13	g]f	g]f	NOUN
ejpam-3715	185	14	+	+	CCONJ
ejpam-3715	185	15	n2)−	n2)−	ADJ
ejpam-3715	185	16	2	2	NUM
ejpam-3715	185	17	(	(	PUNCT
ejpam-3715	185	18	degj	degj	NOUN
ejpam-3715	185	19	[	[	X
ejpam-3715	185	20	g]e+	g]e+	PROPN
ejpam-3715	185	21	n2).(degj	n2).(degj	PROPN
ejpam-3715	185	22	[	[	X
ejpam-3715	185	23	g]f	g]f	NOUN
ejpam-3715	185	24	+	+	CCONJ
ejpam-3715	185	25	n2	n2	ADJ
ejpam-3715	185	26	)	)	PUNCT
ejpam-3715	185	27	]	]	PUNCT
ejpam-3715	185	28	=	=	PUNCT
ejpam-3715	185	29	m1m2	m1m2	X
ejpam-3715	186	1	[	[	X
ejpam-3715	186	2	√	√	INTJ
ejpam-3715	186	3	(	(	PUNCT
ejpam-3715	186	4	deghu+	deghu+	NOUN
ejpam-3715	186	5	1	1	NUM
ejpam-3715	186	6	)	)	PUNCT
ejpam-3715	186	7	+	+	CCONJ
ejpam-3715	186	8	(	(	PUNCT
ejpam-3715	186	9	deghv	deghv	NOUN
ejpam-3715	186	10	+	+	PROPN
ejpam-3715	187	1	1)−	1)−	NUM
ejpam-3715	187	2	2	2	NUM
ejpam-3715	187	3	(	(	PUNCT
ejpam-3715	187	4	deghu+	deghu+	X
ejpam-3715	187	5	1).(deghv	1).(deghv	ADV
ejpam-3715	187	6	+	+	CCONJ
ejpam-3715	187	7	1	1	NUM
ejpam-3715	187	8	)	)	PUNCT
ejpam-3715	187	9	]	]	PUNCT
ejpam-3715	188	1	+	+	PUNCT
ejpam-3715	188	2	m1n2	m1n2	NOUN
ejpam-3715	188	3	[	[	X
ejpam-3715	188	4	√	√	INTJ
ejpam-3715	188	5	(	(	PUNCT
ejpam-3715	188	6	deghu+	deghu+	NOUN
ejpam-3715	188	7	1	1	NUM
ejpam-3715	188	8	)	)	PUNCT
ejpam-3715	188	9	+	+	CCONJ
ejpam-3715	188	10	(	(	PUNCT
ejpam-3715	188	11	degj	degj	ADJ
ejpam-3715	188	12	[	[	X
ejpam-3715	188	13	g]e+	g]e+	PROPN
ejpam-3715	188	14	n2)−	n2)−	ADJ
ejpam-3715	188	15	2	2	NUM
ejpam-3715	188	16	(	(	PUNCT
ejpam-3715	188	17	deghu+	deghu+	PROPN
ejpam-3715	188	18	1).(degj	1).(degj	NOUN
ejpam-3715	189	1	[	[	X
ejpam-3715	189	2	g]e+	g]e+	PROPN
ejpam-3715	189	3	n2	n2	NOUN
ejpam-3715	189	4	)	)	PUNCT
ejpam-3715	189	5	]	]	PUNCT
ejpam-3715	190	1	m.	m.	PROPN
ejpam-3715	190	2	manjunath	manjunath	PROPN
ejpam-3715	190	3	,	,	PUNCT
ejpam-3715	190	4	v.	v.	ADP
ejpam-3715	190	5	lokesha	lokesha	PROPN
ejpam-3715	190	6	,	,	PUNCT
ejpam-3715	190	7	suvarna	suvarna	NOUN
ejpam-3715	190	8	,	,	PUNCT
ejpam-3715	190	9	s.	s.	PROPN
ejpam-3715	190	10	jain	jain	PROPN
ejpam-3715	190	11	/	/	SYM
ejpam-3715	190	12	eur	eur	PROPN
ejpam-3715	190	13	.	.	PUNCT
ejpam-3715	191	1	j.	j.	PROPN
ejpam-3715	191	2	pure	pure	PROPN
ejpam-3715	191	3	appl	appl	PROPN
ejpam-3715	191	4	.	.	PROPN
ejpam-3715	191	5	math	math	PROPN
ejpam-3715	191	6	,	,	PUNCT
ejpam-3715	191	7	14	14	NUM
ejpam-3715	191	8	(	(	PUNCT
ejpam-3715	191	9	2	2	NUM
ejpam-3715	191	10	)	)	PUNCT
ejpam-3715	191	11	(	(	PUNCT
ejpam-3715	191	12	2021	2021	NUM
ejpam-3715	191	13	)	)	PUNCT
ejpam-3715	191	14	,	,	PUNCT
ejpam-3715	191	15	340	340	NUM
ejpam-3715	191	16	-	-	SYM
ejpam-3715	191	17	350	350	NUM
ejpam-3715	191	18	346	346	NUM
ejpam-3715	191	19	+	+	CCONJ
ejpam-3715	192	1	[	[	X
ejpam-3715	192	2	[	[	PUNCT
ejpam-3715	192	3	m1(m1	m1(m1	NOUN
ejpam-3715	192	4	−	−	PROPN
ejpam-3715	192	5	1	1	NUM
ejpam-3715	192	6	)	)	PUNCT
ejpam-3715	192	7	2	2	NUM
ejpam-3715	192	8	]	]	PUNCT
ejpam-3715	192	9	−m1	−m1	X
ejpam-3715	192	10	[	[	PUNCT
ejpam-3715	192	11	deggu+	deggu+	INTJ
ejpam-3715	192	12	deggv	deggv	PROPN
ejpam-3715	192	13	−	−	PROPN
ejpam-3715	192	14	2	2	NUM
ejpam-3715	192	15	2	2	NUM
ejpam-3715	192	16	]	]	PUNCT
ejpam-3715	192	17	]	]	X
ejpam-3715	192	18	[	[	X
ejpam-3715	192	19	√	√	INTJ
ejpam-3715	192	20	(	(	PUNCT
ejpam-3715	192	21	degj	degj	NOUN
ejpam-3715	192	22	[	[	X
ejpam-3715	192	23	g]e+	g]e+	NOUN
ejpam-3715	192	24	n2	n2	NOUN
ejpam-3715	192	25	)	)	PUNCT
ejpam-3715	193	1	+	+	CCONJ
ejpam-3715	193	2	(	(	PUNCT
ejpam-3715	193	3	degj	degj	ADJ
ejpam-3715	193	4	[	[	X
ejpam-3715	193	5	g]f	g]f	NOUN
ejpam-3715	193	6	+	+	CCONJ
ejpam-3715	193	7	n2)−	n2)−	ADJ
ejpam-3715	193	8	2	2	NUM
ejpam-3715	193	9	(	(	PUNCT
ejpam-3715	193	10	degj	degj	NOUN
ejpam-3715	193	11	[	[	X
ejpam-3715	193	12	g]e+	g]e+	PROPN
ejpam-3715	193	13	n2).(degj	n2).(degj	PROPN
ejpam-3715	193	14	[	[	X
ejpam-3715	193	15	g]f	g]f	NOUN
ejpam-3715	193	16	+	+	CCONJ
ejpam-3715	193	17	n2	n2	ADJ
ejpam-3715	193	18	)	)	PUNCT
ejpam-3715	193	19	]	]	PUNCT
ejpam-3715	194	1	=	=	PUNCT
ejpam-3715	194	2	m1m2	m1m2	X
ejpam-3715	195	1	[	[	X
ejpam-3715	195	2	√	√	INTJ
ejpam-3715	195	3	(	(	PUNCT
ejpam-3715	195	4	deghu+	deghu+	NOUN
ejpam-3715	195	5	1	1	NUM
ejpam-3715	195	6	)	)	PUNCT
ejpam-3715	195	7	+	+	CCONJ
ejpam-3715	195	8	(	(	PUNCT
ejpam-3715	195	9	deghv	deghv	NOUN
ejpam-3715	195	10	+	+	PROPN
ejpam-3715	196	1	1)−	1)−	NUM
ejpam-3715	196	2	2	2	NUM
ejpam-3715	196	3	(	(	PUNCT
ejpam-3715	196	4	deghu+	deghu+	X
ejpam-3715	196	5	1).(deghv	1).(deghv	ADV
ejpam-3715	196	6	+	+	NOUN
ejpam-3715	196	7	1	1	NUM
ejpam-3715	196	8	)	)	PUNCT
ejpam-3715	196	9	]	]	PUNCT
ejpam-3715	197	1	+	+	CCONJ
ejpam-3715	197	2	[	[	X
ejpam-3715	197	3	[	[	PUNCT
ejpam-3715	197	4	m1(m1	m1(m1	NOUN
ejpam-3715	197	5	−	−	PROPN
ejpam-3715	197	6	1	1	NUM
ejpam-3715	197	7	)	)	PUNCT
ejpam-3715	197	8	2	2	NUM
ejpam-3715	197	9	]	]	PUNCT
ejpam-3715	197	10	−m1	−m1	X
ejpam-3715	197	11	[	[	PUNCT
ejpam-3715	197	12	deggu+	deggu+	INTJ
ejpam-3715	197	13	deggv	deggv	PROPN
ejpam-3715	197	14	−	−	PROPN
ejpam-3715	197	15	2	2	NUM
ejpam-3715	197	16	2	2	NUM
ejpam-3715	197	17	]	]	PUNCT
ejpam-3715	197	18	]	]	PUNCT
ejpam-3715	198	1	[	[	X
ejpam-3715	198	2	√	√	X
ejpam-3715	198	3	[	[	X
ejpam-3715	198	4	(	(	PUNCT
ejpam-3715	198	5	m1	m1	PROPN
ejpam-3715	198	6	−	−	PROPN
ejpam-3715	198	7	1)−	1)−	PROPN
ejpam-3715	199	1	[	[	X
ejpam-3715	199	2	deggu+	deggu+	X
ejpam-3715	199	3	deggv	deggv	PROPN
ejpam-3715	199	4	−	−	PROPN
ejpam-3715	199	5	2	2	NUM
ejpam-3715	199	6	]	]	PUNCT
ejpam-3715	199	7	+	+	X
ejpam-3715	199	8	n2	n2	ADJ
ejpam-3715	199	9	]	]	X
ejpam-3715	199	10	+	+	CCONJ
ejpam-3715	200	1	[	[	X
ejpam-3715	200	2	(	(	PUNCT
ejpam-3715	200	3	m1	m1	PROPN
ejpam-3715	200	4	−	−	PROPN
ejpam-3715	200	5	1)−	1)−	PROPN
ejpam-3715	201	1	[	[	X
ejpam-3715	201	2	deggu+	deggu+	X
ejpam-3715	201	3	deggv	deggv	PROPN
ejpam-3715	201	4	−	−	PROPN
ejpam-3715	201	5	2	2	NUM
ejpam-3715	201	6	]	]	PUNCT
ejpam-3715	201	7	+	+	CCONJ
ejpam-3715	201	8	n2]−	n2]−	ADV
ejpam-3715	201	9	2	2	NUM
ejpam-3715	201	10	[	[	X
ejpam-3715	201	11	(	(	PUNCT
ejpam-3715	201	12	m1	m1	PROPN
ejpam-3715	201	13	−	−	PROPN
ejpam-3715	201	14	1)−	1)−	PROPN
ejpam-3715	202	1	[	[	X
ejpam-3715	202	2	deggu+	deggu+	X
ejpam-3715	202	3	deggv	deggv	PROPN
ejpam-3715	202	4	−	−	PROPN
ejpam-3715	202	5	2	2	X
ejpam-3715	202	6	]	]	PUNCT
ejpam-3715	202	7	+	+	NUM
ejpam-3715	202	8	n2].[(m1	n2].[(m1	NOUN
ejpam-3715	203	1	−	−	PROPN
ejpam-3715	203	2	1)−	1)−	PROPN
ejpam-3715	204	1	[	[	X
ejpam-3715	204	2	deggu+	deggu+	X
ejpam-3715	204	3	deggv	deggv	PROPN
ejpam-3715	204	4	−	−	PROPN
ejpam-3715	204	5	2	2	NUM
ejpam-3715	204	6	]	]	PUNCT
ejpam-3715	204	7	+	+	X
ejpam-3715	204	8	n2	n2	ADJ
ejpam-3715	204	9	]	]	X
ejpam-3715	204	10	]	]	PUNCT
ejpam-3715	205	1	+	+	PUNCT
ejpam-3715	205	2	m1n2	m1n2	NOUN
ejpam-3715	205	3	[	[	X
ejpam-3715	205	4	√	√	INTJ
ejpam-3715	205	5	(	(	PUNCT
ejpam-3715	205	6	deghu+	deghu+	NOUN
ejpam-3715	205	7	1	1	NUM
ejpam-3715	205	8	)	)	PUNCT
ejpam-3715	205	9	+	+	CCONJ
ejpam-3715	206	1	[	[	X
ejpam-3715	206	2	(	(	PUNCT
ejpam-3715	206	3	m1	m1	PROPN
ejpam-3715	206	4	−	−	PROPN
ejpam-3715	206	5	1)−	1)−	PROPN
ejpam-3715	207	1	[	[	X
ejpam-3715	207	2	deggu+	deggu+	X
ejpam-3715	207	3	deggv	deggv	PROPN
ejpam-3715	207	4	−	−	PROPN
ejpam-3715	207	5	2	2	NUM
ejpam-3715	207	6	]	]	PUNCT
ejpam-3715	207	7	+	+	CCONJ
ejpam-3715	207	8	n2]−	n2]−	ADV
ejpam-3715	207	9	2	2	NUM
ejpam-3715	207	10	(	(	PUNCT
ejpam-3715	207	11	deghu+	deghu+	NOUN
ejpam-3715	207	12	1).[(m1	1).[(m1	NUM
ejpam-3715	207	13	−	−	PROPN
ejpam-3715	207	14	1)−	1)−	PROPN
ejpam-3715	208	1	[	[	X
ejpam-3715	208	2	deggu+	deggu+	X
ejpam-3715	208	3	deggv	deggv	PROPN
ejpam-3715	208	4	−	−	PROPN
ejpam-3715	208	5	2	2	NUM
ejpam-3715	208	6	]	]	PUNCT
ejpam-3715	208	7	+	+	X
ejpam-3715	208	8	n2	n2	ADJ
ejpam-3715	208	9	]	]	X
ejpam-3715	208	10	]	]	PUNCT
ejpam-3715	208	11	≥	≥	X
ejpam-3715	208	12	m1m2	m1m2	X
ejpam-3715	209	1	[	[	X
ejpam-3715	209	2	√	√	INTJ
ejpam-3715	209	3	(	(	PUNCT
ejpam-3715	209	4	∆h	∆h	NOUN
ejpam-3715	209	5	+	+	NOUN
ejpam-3715	209	6	1	1	NUM
ejpam-3715	209	7	)	)	PUNCT
ejpam-3715	209	8	+	+	CCONJ
ejpam-3715	209	9	(	(	PUNCT
ejpam-3715	209	10	∆h	∆h	PROPN
ejpam-3715	209	11	+	+	PROPN
ejpam-3715	209	12	1)−	1)−	PROPN
ejpam-3715	209	13	2	2	NUM
ejpam-3715	209	14	(	(	PUNCT
ejpam-3715	209	15	∆h	∆h	NOUN
ejpam-3715	209	16	+	+	NUM
ejpam-3715	209	17	1).(∆h	1).(∆h	NOUN
ejpam-3715	209	18	+	+	NOUN
ejpam-3715	209	19	1	1	NUM
ejpam-3715	209	20	)	)	PUNCT
ejpam-3715	209	21	]	]	PUNCT
ejpam-3715	210	1	+	+	PUNCT
ejpam-3715	210	2	m1n2	m1n2	NOUN
ejpam-3715	210	3	[	[	X
ejpam-3715	210	4	√	√	ADV
ejpam-3715	210	5	∆h	∆h	PROPN
ejpam-3715	210	6	+	+	CCONJ
ejpam-3715	210	7	1	1	NUM
ejpam-3715	210	8	+	+	NOUN
ejpam-3715	210	9	m1	m1	NOUN
ejpam-3715	210	10	−	−	NOUN
ejpam-3715	210	11	1−	1−	NUM
ejpam-3715	211	1	[	[	X
ejpam-3715	211	2	∆g	∆g	PROPN
ejpam-3715	211	3	+	+	CCONJ
ejpam-3715	211	4	∆g	∆g	PROPN
ejpam-3715	211	5	−	−	PROPN
ejpam-3715	211	6	2	2	NUM
ejpam-3715	211	7	]	]	PUNCT
ejpam-3715	211	8	+	+	NUM
ejpam-3715	211	9	n2	n2	ADJ
ejpam-3715	211	10	−	−	PROPN
ejpam-3715	211	11	2	2	NUM
ejpam-3715	212	1	[	[	X
ejpam-3715	212	2	∆h	∆h	PROPN
ejpam-3715	212	3	+	+	PROPN
ejpam-3715	212	4	1].[m1	1].[m1	PROPN
ejpam-3715	212	5	−	−	NOUN
ejpam-3715	212	6	1−	1−	NUM
ejpam-3715	213	1	[	[	X
ejpam-3715	213	2	∆g	∆g	PROPN
ejpam-3715	213	3	+	+	CCONJ
ejpam-3715	213	4	∆g	∆g	PROPN
ejpam-3715	213	5	−	−	PROPN
ejpam-3715	213	6	2	2	NUM
ejpam-3715	213	7	]	]	PUNCT
ejpam-3715	213	8	+	+	X
ejpam-3715	213	9	n2	n2	ADJ
ejpam-3715	213	10	]	]	X
ejpam-3715	213	11	]	]	PUNCT
ejpam-3715	214	1	+	+	CCONJ
ejpam-3715	214	2	[	[	X
ejpam-3715	214	3	[	[	PUNCT
ejpam-3715	214	4	m1(m1	m1(m1	NOUN
ejpam-3715	214	5	−	−	PROPN
ejpam-3715	214	6	1	1	NUM
ejpam-3715	214	7	)	)	PUNCT
ejpam-3715	214	8	2	2	NUM
ejpam-3715	214	9	]	]	PUNCT
ejpam-3715	214	10	−m1	−m1	PROPN
ejpam-3715	214	11	[	[	PUNCT
ejpam-3715	214	12	∆g	∆g	PROPN
ejpam-3715	214	13	+	+	CCONJ
ejpam-3715	214	14	∆g	∆g	PROPN
ejpam-3715	214	15	−	−	NUM
ejpam-3715	214	16	2	2	NUM
ejpam-3715	214	17	2	2	NUM
ejpam-3715	214	18	]	]	PUNCT
ejpam-3715	214	19	]	]	PUNCT
ejpam-3715	215	1	[	[	X
ejpam-3715	215	2	√	√	X
ejpam-3715	215	3	[	[	X
ejpam-3715	215	4	(	(	PUNCT
ejpam-3715	215	5	m1	m1	PROPN
ejpam-3715	215	6	−	−	PROPN
ejpam-3715	215	7	1)−	1)−	PROPN
ejpam-3715	216	1	[	[	X
ejpam-3715	216	2	∆g	∆g	PROPN
ejpam-3715	216	3	+	+	CCONJ
ejpam-3715	216	4	∆g	∆g	PROPN
ejpam-3715	216	5	−	−	PROPN
ejpam-3715	216	6	2	2	NUM
ejpam-3715	216	7	]	]	PUNCT
ejpam-3715	216	8	+	+	X
ejpam-3715	216	9	n2	n2	ADJ
ejpam-3715	216	10	]	]	X
ejpam-3715	217	1	+	+	CCONJ
ejpam-3715	218	1	[	[	X
ejpam-3715	218	2	(	(	PUNCT
ejpam-3715	218	3	m1	m1	PROPN
ejpam-3715	218	4	−	−	PROPN
ejpam-3715	218	5	1)−	1)−	PROPN
ejpam-3715	219	1	[	[	X
ejpam-3715	219	2	∆g	∆g	PROPN
ejpam-3715	219	3	+	+	CCONJ
ejpam-3715	219	4	∆g	∆g	PROPN
ejpam-3715	219	5	−	−	PROPN
ejpam-3715	219	6	2	2	NUM
ejpam-3715	219	7	]	]	PUNCT
ejpam-3715	219	8	+	+	CCONJ
ejpam-3715	219	9	n2]−	n2]−	ADV
ejpam-3715	219	10	2	2	NUM
ejpam-3715	219	11	[	[	X
ejpam-3715	219	12	(	(	PUNCT
ejpam-3715	219	13	m1	m1	PROPN
ejpam-3715	219	14	−	−	PROPN
ejpam-3715	220	1	1)−	1)−	PROPN
ejpam-3715	221	1	[	[	X
ejpam-3715	221	2	∆g	∆g	PROPN
ejpam-3715	221	3	+	+	CCONJ
ejpam-3715	221	4	∆g	∆g	PROPN
ejpam-3715	222	1	−	−	PROPN
ejpam-3715	222	2	2	2	NUM
ejpam-3715	222	3	]	]	PUNCT
ejpam-3715	222	4	+	+	NUM
ejpam-3715	222	5	n2].[(m1	n2].[(m1	NOUN
ejpam-3715	222	6	−	−	PROPN
ejpam-3715	223	1	1)−	1)−	PROPN
ejpam-3715	224	1	[	[	X
ejpam-3715	224	2	∆g	∆g	PROPN
ejpam-3715	224	3	+	+	CCONJ
ejpam-3715	224	4	∆g	∆g	PROPN
ejpam-3715	224	5	−	−	PROPN
ejpam-3715	224	6	2	2	NUM
ejpam-3715	224	7	]	]	PUNCT
ejpam-3715	224	8	+	+	X
ejpam-3715	224	9	n2	n2	ADJ
ejpam-3715	224	10	]	]	X
ejpam-3715	224	11	]	]	PUNCT
ejpam-3715	224	12	≥	≥	X
ejpam-3715	224	13	m1m2	m1m2	X
ejpam-3715	225	1	[	[	X
ejpam-3715	225	2	√	√	ADP
ejpam-3715	225	3	2(∆h	2(∆h	NUM
ejpam-3715	225	4	+	+	CCONJ
ejpam-3715	225	5	1)−	1)−	NUM
ejpam-3715	225	6	2	2	NUM
ejpam-3715	225	7	(	(	PUNCT
ejpam-3715	225	8	∆h	∆h	PROPN
ejpam-3715	225	9	+	+	PROPN
ejpam-3715	225	10	1)2	1)2	NUM
ejpam-3715	225	11	]	]	PUNCT
ejpam-3715	226	1	+	+	NOUN
ejpam-3715	226	2	m1n2	m1n2	NOUN
ejpam-3715	226	3	[	[	X
ejpam-3715	226	4	√	√	ADJ
ejpam-3715	226	5	∆h	∆h	PROPN
ejpam-3715	226	6	+	+	PROPN
ejpam-3715	226	7	m1	m1	PROPN
ejpam-3715	226	8	−	−	PROPN
ejpam-3715	226	9	2[∆g	2[∆g	NUM
ejpam-3715	226	10	−	−	NOUN
ejpam-3715	226	11	1	1	NUM
ejpam-3715	226	12	]	]	PUNCT
ejpam-3715	226	13	+	+	NUM
ejpam-3715	226	14	n2	n2	ADJ
ejpam-3715	226	15	−	−	PROPN
ejpam-3715	226	16	2	2	NUM
ejpam-3715	226	17	[	[	X
ejpam-3715	226	18	∆h	∆h	PROPN
ejpam-3715	226	19	+	+	PROPN
ejpam-3715	226	20	1].[m1	1].[m1	PROPN
ejpam-3715	226	21	−	−	PROPN
ejpam-3715	226	22	1−	1−	NUM
ejpam-3715	226	23	2[∆g	2[∆g	NUM
ejpam-3715	226	24	−	−	NOUN
ejpam-3715	226	25	1	1	NUM
ejpam-3715	226	26	]	]	PUNCT
ejpam-3715	226	27	+	+	X
ejpam-3715	226	28	n2	n2	ADJ
ejpam-3715	226	29	]	]	X
ejpam-3715	226	30	]	]	PUNCT
ejpam-3715	227	1	+	+	CCONJ
ejpam-3715	227	2	[	[	X
ejpam-3715	227	3	[	[	PUNCT
ejpam-3715	227	4	m1(m1	m1(m1	NOUN
ejpam-3715	227	5	−	−	PROPN
ejpam-3715	227	6	1	1	NUM
ejpam-3715	227	7	)	)	PUNCT
ejpam-3715	227	8	2	2	NUM
ejpam-3715	227	9	]	]	PUNCT
ejpam-3715	227	10	−m1	−m1	PROPN
ejpam-3715	227	11	[	[	PUNCT
ejpam-3715	227	12	2(∆g	2(∆g	NUM
ejpam-3715	227	13	−	−	NOUN
ejpam-3715	227	14	1	1	NUM
ejpam-3715	227	15	)	)	PUNCT
ejpam-3715	227	16	2	2	NUM
ejpam-3715	227	17	]	]	PUNCT
ejpam-3715	227	18	]	]	X
ejpam-3715	228	1	[	[	X
ejpam-3715	228	2	√	√	ADP
ejpam-3715	228	3	2[(m1	2[(m1	NUM
ejpam-3715	228	4	−	−	PROPN
ejpam-3715	228	5	1)−	1)−	NUM
ejpam-3715	228	6	2[∆g	2[∆g	NUM
ejpam-3715	228	7	−	−	NOUN
ejpam-3715	228	8	1	1	NUM
ejpam-3715	228	9	]	]	PUNCT
ejpam-3715	228	10	+	+	CCONJ
ejpam-3715	228	11	n2]−	n2]−	ADV
ejpam-3715	228	12	2	2	NUM
ejpam-3715	228	13	[	[	X
ejpam-3715	228	14	(	(	PUNCT
ejpam-3715	228	15	m1	m1	PROPN
ejpam-3715	228	16	−	−	PROPN
ejpam-3715	228	17	1)−	1)−	PROPN
ejpam-3715	228	18	2[∆g	2[∆g	NUM
ejpam-3715	228	19	−	−	NOUN
ejpam-3715	228	20	1	1	NUM
ejpam-3715	228	21	]	]	PUNCT
ejpam-3715	228	22	+	+	NUM
ejpam-3715	228	23	n2]2	n2]2	NOUN
ejpam-3715	228	24	]	]	PUNCT
ejpam-3715	228	25	≥	≥	X
ejpam-3715	228	26	m1m2	m1m2	X
ejpam-3715	229	1	[	[	X
ejpam-3715	229	2	√	√	ADP
ejpam-3715	229	3	2(∆h	2(∆h	NUM
ejpam-3715	229	4	+	+	NUM
ejpam-3715	229	5	1−	1−	NUM
ejpam-3715	229	6	1	1	NUM
ejpam-3715	229	7	)	)	PUNCT
ejpam-3715	229	8	(	(	PUNCT
ejpam-3715	229	9	∆h	∆h	PROPN
ejpam-3715	229	10	+	+	CCONJ
ejpam-3715	229	11	1)2	1)2	NUM
ejpam-3715	229	12	]	]	PUNCT
ejpam-3715	230	1	+	+	NOUN
ejpam-3715	230	2	m1n2	m1n2	NOUN
ejpam-3715	230	3	[	[	X
ejpam-3715	230	4	√	√	ADJ
ejpam-3715	230	5	∆h	∆h	PROPN
ejpam-3715	230	6	+	+	PROPN
ejpam-3715	230	7	m1	m1	PROPN
ejpam-3715	230	8	−	−	PROPN
ejpam-3715	230	9	2[∆g	2[∆g	NUM
ejpam-3715	230	10	−	−	NOUN
ejpam-3715	230	11	1	1	NUM
ejpam-3715	230	12	+	+	CCONJ
ejpam-3715	230	13	1	1	NUM
ejpam-3715	230	14	]	]	PUNCT
ejpam-3715	230	15	+	+	NUM
ejpam-3715	230	16	n2	n2	ADJ
ejpam-3715	231	1	[	[	X
ejpam-3715	231	2	∆h	∆h	PROPN
ejpam-3715	231	3	+	+	PROPN
ejpam-3715	231	4	1].[m1	1].[m1	PROPN
ejpam-3715	231	5	−	−	PROPN
ejpam-3715	231	6	1−	1−	NUM
ejpam-3715	231	7	2[∆g	2[∆g	NUM
ejpam-3715	231	8	−	−	NOUN
ejpam-3715	231	9	1	1	NUM
ejpam-3715	231	10	]	]	PUNCT
ejpam-3715	231	11	+	+	X
ejpam-3715	231	12	n2	n2	ADJ
ejpam-3715	231	13	]	]	X
ejpam-3715	231	14	]	]	PUNCT
ejpam-3715	232	1	+	+	CCONJ
ejpam-3715	232	2	[	[	X
ejpam-3715	232	3	[	[	PUNCT
ejpam-3715	232	4	m1(m1	m1(m1	NOUN
ejpam-3715	232	5	−	−	PROPN
ejpam-3715	232	6	1	1	NUM
ejpam-3715	232	7	)	)	PUNCT
ejpam-3715	232	8	2	2	NUM
ejpam-3715	232	9	]	]	PUNCT
ejpam-3715	232	10	−m1(∆g	−m1(∆g	PROPN
ejpam-3715	232	11	−	−	NOUN
ejpam-3715	232	12	1	1	NUM
ejpam-3715	232	13	)	)	PUNCT
ejpam-3715	232	14	]	]	PUNCT
ejpam-3715	233	1	[	[	X
ejpam-3715	233	2	√	√	ADP
ejpam-3715	233	3	2[m1	2[m1	NUM
ejpam-3715	233	4	−	−	PROPN
ejpam-3715	233	5	1−	1−	NUM
ejpam-3715	233	6	2[∆g	2[∆g	NUM
ejpam-3715	233	7	−	−	NOUN
ejpam-3715	233	8	1	1	NUM
ejpam-3715	233	9	]	]	PUNCT
ejpam-3715	233	10	+	+	NUM
ejpam-3715	233	11	n2	n2	ADJ
ejpam-3715	233	12	−	−	PROPN
ejpam-3715	233	13	1	1	NUM
ejpam-3715	233	14	]	]	PUNCT
ejpam-3715	234	1	[	[	X
ejpam-3715	234	2	(	(	PUNCT
ejpam-3715	234	3	m1	m1	PROPN
ejpam-3715	234	4	−	−	PROPN
ejpam-3715	234	5	1)−	1)−	PROPN
ejpam-3715	234	6	2[∆g	2[∆g	NUM
ejpam-3715	234	7	−	−	NOUN
ejpam-3715	234	8	1	1	NUM
ejpam-3715	234	9	]	]	PUNCT
ejpam-3715	234	10	+	+	NUM
ejpam-3715	234	11	n2]2	n2]2	NOUN
ejpam-3715	234	12	]	]	PUNCT
ejpam-3715	234	13	.	.	PUNCT
ejpam-3715	235	1	abc[℘	abc[℘	PROPN
ejpam-3715	235	2	]	]	X
ejpam-3715	235	3	≥	≥	X
ejpam-3715	235	4	m1m2	m1m2	X
ejpam-3715	236	1	[	[	X
ejpam-3715	236	2	√	√	NUM
ejpam-3715	236	3	2∆h	2∆h	NUM
ejpam-3715	236	4	(	(	PUNCT
ejpam-3715	236	5	∆h	∆h	PROPN
ejpam-3715	236	6	+	+	X
ejpam-3715	236	7	1)2	1)2	NUM
ejpam-3715	236	8	]	]	PUNCT
ejpam-3715	237	1	+	+	NOUN
ejpam-3715	237	2	m1n2	m1n2	NOUN
ejpam-3715	237	3	[	[	X
ejpam-3715	237	4	√	√	ADJ
ejpam-3715	237	5	∆h	∆h	PROPN
ejpam-3715	237	6	+	+	NOUN
ejpam-3715	237	7	m1	m1	PROPN
ejpam-3715	237	8	−	−	PROPN
ejpam-3715	237	9	2∆g	2∆g	PROPN
ejpam-3715	237	10	+	+	CCONJ
ejpam-3715	237	11	n2	n2	ADJ
ejpam-3715	238	1	[	[	X
ejpam-3715	238	2	∆h	∆h	PROPN
ejpam-3715	238	3	+	+	PROPN
ejpam-3715	238	4	1].[m1	1].[m1	PROPN
ejpam-3715	238	5	−	−	PROPN
ejpam-3715	238	6	1−	1−	NUM
ejpam-3715	238	7	2[∆g	2[∆g	NUM
ejpam-3715	238	8	−	−	NOUN
ejpam-3715	238	9	1	1	NUM
ejpam-3715	238	10	]	]	PUNCT
ejpam-3715	238	11	+	+	X
ejpam-3715	238	12	n2	n2	ADJ
ejpam-3715	238	13	]	]	X
ejpam-3715	238	14	]	]	PUNCT
ejpam-3715	239	1	+	+	CCONJ
ejpam-3715	239	2	[	[	X
ejpam-3715	239	3	[	[	PUNCT
ejpam-3715	239	4	m1(m1	m1(m1	NOUN
ejpam-3715	239	5	−	−	PROPN
ejpam-3715	239	6	1	1	NUM
ejpam-3715	239	7	)	)	PUNCT
ejpam-3715	239	8	2	2	NUM
ejpam-3715	239	9	]	]	PUNCT
ejpam-3715	239	10	−m1(∆g	−m1(∆g	PROPN
ejpam-3715	239	11	−	−	NOUN
ejpam-3715	239	12	1	1	NUM
ejpam-3715	239	13	)	)	PUNCT
ejpam-3715	239	14	]	]	PUNCT
ejpam-3715	240	1	[	[	X
ejpam-3715	240	2	√	√	ADP
ejpam-3715	240	3	2[m1	2[m1	NUM
ejpam-3715	240	4	−	−	PROPN
ejpam-3715	240	5	2∆g	2∆g	PROPN
ejpam-3715	240	6	+	+	X
ejpam-3715	240	7	n2	n2	ADJ
ejpam-3715	240	8	]	]	X
ejpam-3715	241	1	[	[	X
ejpam-3715	241	2	(	(	PUNCT
ejpam-3715	241	3	m1	m1	PROPN
ejpam-3715	241	4	−	−	PROPN
ejpam-3715	241	5	1)−	1)−	PROPN
ejpam-3715	241	6	2[∆g	2[∆g	NUM
ejpam-3715	241	7	−	−	NOUN
ejpam-3715	241	8	1	1	NUM
ejpam-3715	241	9	]	]	PUNCT
ejpam-3715	241	10	+	+	NUM
ejpam-3715	241	11	n2]2	n2]2	NOUN
ejpam-3715	241	12	]	]	PUNCT
ejpam-3715	241	13	.	.	PUNCT
ejpam-3715	242	1	similarly	similarly	ADV
ejpam-3715	242	2	,	,	PUNCT
ejpam-3715	242	3	abc[℘	abc[℘	VERB
ejpam-3715	242	4	]	]	X
ejpam-3715	242	5	≤	≤	NUM
ejpam-3715	243	1	m1m2	m1m2	X
ejpam-3715	244	1	[	[	X
ejpam-3715	244	2	√	√	X
ejpam-3715	244	3	2δh	2δh	NOUN
ejpam-3715	244	4	(	(	PUNCT
ejpam-3715	244	5	δh	δh	ADP
ejpam-3715	244	6	+	+	X
ejpam-3715	244	7	1)2	1)2	NUM
ejpam-3715	244	8	]	]	PUNCT
ejpam-3715	245	1	+	+	NOUN
ejpam-3715	245	2	m1n2	m1n2	NOUN
ejpam-3715	245	3	[	[	X
ejpam-3715	245	4	√	√	INTJ
ejpam-3715	245	5	δh	δh	ADP
ejpam-3715	245	6	+	+	NOUN
ejpam-3715	245	7	m1	m1	PROPN
ejpam-3715	245	8	−	−	ADP
ejpam-3715	245	9	2δg	2δg	NOUN
ejpam-3715	245	10	+	+	CCONJ
ejpam-3715	245	11	n2	n2	ADJ
ejpam-3715	246	1	[	[	X
ejpam-3715	246	2	δh	δh	ADP
ejpam-3715	246	3	+	+	NOUN
ejpam-3715	246	4	1].[m1	1].[m1	NUM
ejpam-3715	246	5	−	−	NOUN
ejpam-3715	246	6	1−	1−	NUM
ejpam-3715	246	7	2[δg	2[δg	NUM
ejpam-3715	246	8	−	−	NOUN
ejpam-3715	246	9	1	1	NUM
ejpam-3715	246	10	]	]	PUNCT
ejpam-3715	246	11	+	+	X
ejpam-3715	246	12	n2	n2	ADJ
ejpam-3715	246	13	]	]	X
ejpam-3715	246	14	]	]	PUNCT
ejpam-3715	246	15	m.	m.	PROPN
ejpam-3715	246	16	manjunath	manjunath	PROPN
ejpam-3715	246	17	,	,	PUNCT
ejpam-3715	246	18	v.	v.	ADP
ejpam-3715	246	19	lokesha	lokesha	PROPN
ejpam-3715	246	20	,	,	PUNCT
ejpam-3715	246	21	suvarna	suvarna	NOUN
ejpam-3715	246	22	,	,	PUNCT
ejpam-3715	246	23	s.	s.	PROPN
ejpam-3715	246	24	jain	jain	PROPN
ejpam-3715	246	25	/	/	SYM
ejpam-3715	246	26	eur	eur	PROPN
ejpam-3715	246	27	.	.	PUNCT
ejpam-3715	247	1	j.	j.	PROPN
ejpam-3715	247	2	pure	pure	PROPN
ejpam-3715	247	3	appl	appl	PROPN
ejpam-3715	247	4	.	.	PROPN
ejpam-3715	247	5	math	math	PROPN
ejpam-3715	247	6	,	,	PUNCT
ejpam-3715	247	7	14	14	NUM
ejpam-3715	247	8	(	(	PUNCT
ejpam-3715	247	9	2	2	NUM
ejpam-3715	247	10	)	)	PUNCT
ejpam-3715	247	11	(	(	PUNCT
ejpam-3715	247	12	2021	2021	NUM
ejpam-3715	247	13	)	)	PUNCT
ejpam-3715	247	14	,	,	PUNCT
ejpam-3715	247	15	340	340	NUM
ejpam-3715	247	16	-	-	SYM
ejpam-3715	247	17	350	350	NUM
ejpam-3715	247	18	347	347	NUM
ejpam-3715	247	19	+	+	CCONJ
ejpam-3715	248	1	[	[	X
ejpam-3715	248	2	[	[	PUNCT
ejpam-3715	248	3	m1(m1	m1(m1	NOUN
ejpam-3715	248	4	−	−	PROPN
ejpam-3715	248	5	1	1	NUM
ejpam-3715	248	6	)	)	PUNCT
ejpam-3715	248	7	2	2	NUM
ejpam-3715	248	8	]	]	PUNCT
ejpam-3715	248	9	−m1(δg	−m1(δg	NUM
ejpam-3715	248	10	−	−	NOUN
ejpam-3715	248	11	1	1	NUM
ejpam-3715	248	12	)	)	PUNCT
ejpam-3715	248	13	]	]	PUNCT
ejpam-3715	249	1	[	[	X
ejpam-3715	249	2	√	√	ADP
ejpam-3715	249	3	2[m1	2[m1	NUM
ejpam-3715	249	4	−	−	ADP
ejpam-3715	249	5	2δg	2δg	NOUN
ejpam-3715	249	6	+	+	CCONJ
ejpam-3715	249	7	n2	n2	ADJ
ejpam-3715	249	8	]	]	X
ejpam-3715	250	1	[	[	X
ejpam-3715	250	2	(	(	PUNCT
ejpam-3715	250	3	m1	m1	PROPN
ejpam-3715	250	4	−	−	PROPN
ejpam-3715	250	5	1)−	1)−	PROPN
ejpam-3715	250	6	2[δg	2[δg	NUM
ejpam-3715	250	7	−	−	NOUN
ejpam-3715	250	8	1	1	NUM
ejpam-3715	250	9	]	]	PUNCT
ejpam-3715	250	10	+	+	NUM
ejpam-3715	250	11	n2]2	n2]2	NOUN
ejpam-3715	250	12	]	]	PUNCT
ejpam-3715	250	13	.	.	PUNCT
ejpam-3715	251	1	theorem	theorem	ADJ
ejpam-3715	251	2	4	4	NUM
ejpam-3715	251	3	.	.	PUNCT
ejpam-3715	252	1	let	let	VERB
ejpam-3715	252	2	g	g	NOUN
ejpam-3715	252	3	and	and	CCONJ
ejpam-3715	252	4	h	h	NOUN
ejpam-3715	252	5	are	be	AUX
ejpam-3715	252	6	two	two	NUM
ejpam-3715	252	7	simple	simple	ADJ
ejpam-3715	252	8	connected	connected	ADJ
ejpam-3715	252	9	graphs	graph	NOUN
ejpam-3715	252	10	,	,	PUNCT
ejpam-3715	252	11	then	then	ADV
ejpam-3715	252	12	the	the	DET
ejpam-3715	252	13	bounds	bound	NOUN
ejpam-3715	252	14	for	for	ADP
ejpam-3715	252	15	the	the	DET
ejpam-3715	252	16	first	first	ADJ
ejpam-3715	252	17	zagreb	zagreb	PROPN
ejpam-3715	252	18	index	index	NOUN
ejpam-3715	252	19	of	of	ADP
ejpam-3715	252	20	℘	℘	PROPN
ejpam-3715	252	21	are	be	AUX
ejpam-3715	252	22	given	give	VERB
ejpam-3715	252	23	by	by	ADP
ejpam-3715	252	24	m1[℘	m1[℘	PROPN
ejpam-3715	252	25	]	]	X
ejpam-3715	252	26	≥	≥	NOUN
ejpam-3715	252	27	2m1m2(∆h	2m1m2(∆h	NUM
ejpam-3715	252	28	+	+	CCONJ
ejpam-3715	252	29	1	1	NUM
ejpam-3715	252	30	)	)	PUNCT
ejpam-3715	252	31	+	+	NOUN
ejpam-3715	252	32	m1n2[∆h	m1n2[∆h	NOUN
ejpam-3715	252	33	+	+	ADJ
ejpam-3715	252	34	m1	m1	PROPN
ejpam-3715	252	35	−	−	PROPN
ejpam-3715	252	36	2[∆g	2[∆g	NUM
ejpam-3715	252	37	−	−	NOUN
ejpam-3715	252	38	1	1	NUM
ejpam-3715	252	39	]	]	PUNCT
ejpam-3715	252	40	+	+	X
ejpam-3715	252	41	n2	n2	ADJ
ejpam-3715	252	42	]	]	X
ejpam-3715	253	1	+	+	CCONJ
ejpam-3715	253	2	2	2	NUM
ejpam-3715	254	1	[	[	X
ejpam-3715	254	2	[	[	PUNCT
ejpam-3715	254	3	m1(m1	m1(m1	NOUN
ejpam-3715	254	4	−	−	PROPN
ejpam-3715	254	5	1	1	NUM
ejpam-3715	254	6	)	)	PUNCT
ejpam-3715	254	7	2	2	NUM
ejpam-3715	254	8	]	]	PUNCT
ejpam-3715	254	9	−m1(∆g	−m1(∆g	PROPN
ejpam-3715	254	10	−	−	PROPN
ejpam-3715	254	11	1	1	NUM
ejpam-3715	254	12	)	)	PUNCT
ejpam-3715	254	13	]	]	PUNCT
ejpam-3715	255	1	[	[	X
ejpam-3715	255	2	m1	m1	NOUN
ejpam-3715	255	3	−	−	PROPN
ejpam-3715	255	4	1−	1−	NUM
ejpam-3715	255	5	2[∆g	2[∆g	NUM
ejpam-3715	255	6	−	−	NOUN
ejpam-3715	255	7	1	1	NUM
ejpam-3715	255	8	]	]	PUNCT
ejpam-3715	255	9	+	+	X
ejpam-3715	255	10	n2	n2	ADJ
ejpam-3715	255	11	]	]	PUNCT
ejpam-3715	255	12	and	and	CCONJ
ejpam-3715	255	13	m1[℘	m1[℘	PROPN
ejpam-3715	255	14	]	]	X
ejpam-3715	255	15	≤	≤	NOUN
ejpam-3715	255	16	2m1m2(δh	2m1m2(δh	NUM
ejpam-3715	255	17	+	+	CCONJ
ejpam-3715	255	18	1	1	NUM
ejpam-3715	255	19	)	)	PUNCT
ejpam-3715	255	20	+	+	NOUN
ejpam-3715	255	21	m1n2[δh	m1n2[δh	NOUN
ejpam-3715	255	22	+	+	ADJ
ejpam-3715	255	23	m1	m1	PROPN
ejpam-3715	255	24	−	−	ADP
ejpam-3715	255	25	2[δg	2[δg	NUM
ejpam-3715	255	26	−	−	PROPN
ejpam-3715	255	27	1	1	NUM
ejpam-3715	255	28	]	]	PUNCT
ejpam-3715	255	29	+	+	X
ejpam-3715	255	30	n2	n2	ADJ
ejpam-3715	255	31	]	]	X
ejpam-3715	255	32	+	+	CCONJ
ejpam-3715	255	33	2	2	NUM
ejpam-3715	256	1	[	[	X
ejpam-3715	256	2	[	[	PUNCT
ejpam-3715	256	3	m1(m1	m1(m1	NOUN
ejpam-3715	256	4	−	−	PROPN
ejpam-3715	256	5	1	1	NUM
ejpam-3715	256	6	)	)	PUNCT
ejpam-3715	256	7	2	2	NUM
ejpam-3715	256	8	]	]	PUNCT
ejpam-3715	256	9	−m1(δg	−m1(δg	NUM
ejpam-3715	256	10	−	−	NOUN
ejpam-3715	256	11	1	1	NUM
ejpam-3715	256	12	)	)	PUNCT
ejpam-3715	256	13	]	]	PUNCT
ejpam-3715	257	1	[	[	X
ejpam-3715	257	2	m1	m1	NOUN
ejpam-3715	257	3	−	−	NOUN
ejpam-3715	257	4	1−	1−	NUM
ejpam-3715	257	5	2[δg	2[δg	NUM
ejpam-3715	257	6	−	−	NOUN
ejpam-3715	257	7	1	1	NUM
ejpam-3715	257	8	]	]	PUNCT
ejpam-3715	257	9	+	+	NUM
ejpam-3715	257	10	n2	n2	ADJ
ejpam-3715	257	11	]	]	PUNCT
ejpam-3715	257	12	.	.	PUNCT
ejpam-3715	258	1	proof	proof	NOUN
ejpam-3715	258	2	.	.	PUNCT
ejpam-3715	259	1	consider	consider	VERB
ejpam-3715	259	2	m1[℘	m1[℘	NOUN
ejpam-3715	259	3	]	]	PUNCT
ejpam-3715	259	4	=	=	SYM
ejpam-3715	259	5	m1	m1	PROPN
ejpam-3715	259	6	∑	∑	PUNCT
ejpam-3715	259	7	uv∈e(h	uv∈e(h	NUM
ejpam-3715	259	8	)	)	PUNCT
ejpam-3715	260	1	[	[	X
ejpam-3715	260	2	(	(	PUNCT
ejpam-3715	260	3	deghu+	deghu+	ADP
ejpam-3715	260	4	1	1	NUM
ejpam-3715	260	5	)	)	PUNCT
ejpam-3715	260	6	+	+	CCONJ
ejpam-3715	260	7	(	(	PUNCT
ejpam-3715	260	8	deghv	deghv	NOUN
ejpam-3715	260	9	+	+	X
ejpam-3715	260	10	1	1	NUM
ejpam-3715	260	11	)	)	PUNCT
ejpam-3715	260	12	]	]	PUNCT
ejpam-3715	261	1	+	+	CCONJ
ejpam-3715	261	2	∑	∑	ADV
ejpam-3715	261	3	e∈v	e∈v	NOUN
ejpam-3715	261	4	(	(	PUNCT
ejpam-3715	261	5	j	j	PROPN
ejpam-3715	261	6	[	[	X
ejpam-3715	261	7	g	g	NOUN
ejpam-3715	261	8	]	]	X
ejpam-3715	261	9	)	)	PUNCT
ejpam-3715	261	10	∑	∑	ADV
ejpam-3715	261	11	u∈v	u∈v	NOUN
ejpam-3715	261	12	(	(	PUNCT
ejpam-3715	261	13	h	h	NOUN
ejpam-3715	261	14	)	)	PUNCT
ejpam-3715	262	1	[	[	X
ejpam-3715	262	2	(	(	PUNCT
ejpam-3715	262	3	deghu+	deghu+	ADP
ejpam-3715	262	4	1	1	NUM
ejpam-3715	262	5	)	)	PUNCT
ejpam-3715	262	6	+	+	CCONJ
ejpam-3715	262	7	(	(	PUNCT
ejpam-3715	262	8	degj(g)e+	degj(g)e+	PROPN
ejpam-3715	262	9	n2	n2	PROPN
ejpam-3715	262	10	)	)	PUNCT
ejpam-3715	262	11	]	]	PUNCT
ejpam-3715	263	1	+	+	CCONJ
ejpam-3715	263	2	∑	∑	PUNCT
ejpam-3715	263	3	ef∈e(j	ef∈e(j	NOUN
ejpam-3715	263	4	[	[	X
ejpam-3715	263	5	g	g	X
ejpam-3715	263	6	]	]	PUNCT
ejpam-3715	263	7	)	)	PUNCT
ejpam-3715	264	1	[	[	X
ejpam-3715	264	2	(	(	PUNCT
ejpam-3715	264	3	degj	degj	NOUN
ejpam-3715	264	4	[	[	X
ejpam-3715	264	5	g]e+	g]e+	NOUN
ejpam-3715	264	6	n2	n2	NOUN
ejpam-3715	264	7	)	)	PUNCT
ejpam-3715	264	8	+	+	CCONJ
ejpam-3715	264	9	(	(	PUNCT
ejpam-3715	264	10	degj	degj	ADJ
ejpam-3715	264	11	[	[	X
ejpam-3715	264	12	g]f	g]f	NOUN
ejpam-3715	264	13	+	+	CCONJ
ejpam-3715	264	14	n2	n2	ADJ
ejpam-3715	264	15	)	)	PUNCT
ejpam-3715	264	16	]	]	PUNCT
ejpam-3715	264	17	=	=	PUNCT
ejpam-3715	264	18	m1m2[(deghu+	m1m2[(deghu+	X
ejpam-3715	264	19	1	1	NUM
ejpam-3715	264	20	)	)	PUNCT
ejpam-3715	264	21	+	+	CCONJ
ejpam-3715	264	22	(	(	PUNCT
ejpam-3715	264	23	deghv	deghv	NOUN
ejpam-3715	264	24	+	+	X
ejpam-3715	264	25	1	1	NUM
ejpam-3715	264	26	)	)	PUNCT
ejpam-3715	264	27	]	]	PUNCT
ejpam-3715	265	1	+	+	PUNCT
ejpam-3715	265	2	m1n2[(deghu+	m1n2[(deghu+	X
ejpam-3715	265	3	1	1	NUM
ejpam-3715	265	4	)	)	PUNCT
ejpam-3715	265	5	+	+	CCONJ
ejpam-3715	265	6	(	(	PUNCT
ejpam-3715	265	7	degj	degj	ADJ
ejpam-3715	265	8	[	[	X
ejpam-3715	265	9	g]e+	g]e+	NOUN
ejpam-3715	265	10	n2	n2	NOUN
ejpam-3715	265	11	)	)	PUNCT
ejpam-3715	265	12	]	]	PUNCT
ejpam-3715	266	1	+	+	CCONJ
ejpam-3715	266	2	[	[	X
ejpam-3715	266	3	[	[	PUNCT
ejpam-3715	266	4	m1(m1	m1(m1	NOUN
ejpam-3715	266	5	−	−	PROPN
ejpam-3715	266	6	1	1	NUM
ejpam-3715	266	7	)	)	PUNCT
ejpam-3715	266	8	2	2	NUM
ejpam-3715	266	9	]	]	PUNCT
ejpam-3715	266	10	−m1	−m1	X
ejpam-3715	266	11	[	[	PUNCT
ejpam-3715	266	12	deggu+	deggu+	INTJ
ejpam-3715	266	13	deggv	deggv	PROPN
ejpam-3715	266	14	−	−	PROPN
ejpam-3715	266	15	2	2	NUM
ejpam-3715	266	16	2	2	NUM
ejpam-3715	266	17	]	]	PUNCT
ejpam-3715	266	18	]	]	X
ejpam-3715	267	1	[	[	X
ejpam-3715	267	2	(	(	PUNCT
ejpam-3715	267	3	degj	degj	NOUN
ejpam-3715	267	4	[	[	X
ejpam-3715	267	5	g]e+	g]e+	NOUN
ejpam-3715	267	6	n2	n2	NOUN
ejpam-3715	267	7	)	)	PUNCT
ejpam-3715	267	8	+	+	CCONJ
ejpam-3715	267	9	(	(	PUNCT
ejpam-3715	267	10	degj	degj	ADJ
ejpam-3715	267	11	[	[	X
ejpam-3715	267	12	g]f	g]f	NOUN
ejpam-3715	267	13	+	+	CCONJ
ejpam-3715	267	14	n2	n2	ADJ
ejpam-3715	267	15	)	)	PUNCT
ejpam-3715	267	16	]	]	PUNCT
ejpam-3715	268	1	=	=	PUNCT
ejpam-3715	268	2	m1m2[(deghu+	m1m2[(deghu+	X
ejpam-3715	268	3	1	1	NUM
ejpam-3715	268	4	)	)	PUNCT
ejpam-3715	268	5	+	+	CCONJ
ejpam-3715	268	6	(	(	PUNCT
ejpam-3715	268	7	deghv	deghv	NOUN
ejpam-3715	268	8	+	+	X
ejpam-3715	268	9	1	1	NUM
ejpam-3715	268	10	)	)	PUNCT
ejpam-3715	268	11	]	]	PUNCT
ejpam-3715	269	1	+	+	CCONJ
ejpam-3715	269	2	[	[	X
ejpam-3715	269	3	[	[	PUNCT
ejpam-3715	269	4	m1(m1	m1(m1	NOUN
ejpam-3715	269	5	−	−	PROPN
ejpam-3715	269	6	1	1	NUM
ejpam-3715	269	7	)	)	PUNCT
ejpam-3715	269	8	2	2	NUM
ejpam-3715	269	9	]	]	PUNCT
ejpam-3715	269	10	−m1	−m1	X
ejpam-3715	269	11	[	[	PUNCT
ejpam-3715	269	12	deggu+	deggu+	INTJ
ejpam-3715	269	13	deggv	deggv	PROPN
ejpam-3715	269	14	−	−	PROPN
ejpam-3715	269	15	2	2	NUM
ejpam-3715	269	16	2	2	NUM
ejpam-3715	269	17	]	]	PUNCT
ejpam-3715	269	18	]	]	PUNCT
ejpam-3715	270	1	[	[	X
ejpam-3715	270	2	[	[	X
ejpam-3715	270	3	(	(	PUNCT
ejpam-3715	270	4	m1	m1	PROPN
ejpam-3715	270	5	−	−	PROPN
ejpam-3715	270	6	1)−	1)−	PROPN
ejpam-3715	271	1	[	[	X
ejpam-3715	271	2	deggu+	deggu+	X
ejpam-3715	271	3	deggv	deggv	PROPN
ejpam-3715	271	4	−	−	PROPN
ejpam-3715	271	5	2	2	NUM
ejpam-3715	271	6	]	]	PUNCT
ejpam-3715	271	7	+	+	X
ejpam-3715	271	8	n2	n2	ADJ
ejpam-3715	271	9	]	]	X
ejpam-3715	271	10	+	+	CCONJ
ejpam-3715	272	1	[	[	X
ejpam-3715	272	2	(	(	PUNCT
ejpam-3715	272	3	m1	m1	PROPN
ejpam-3715	272	4	−	−	PROPN
ejpam-3715	272	5	1)−	1)−	PROPN
ejpam-3715	273	1	[	[	X
ejpam-3715	273	2	deggu+	deggu+	X
ejpam-3715	273	3	deggv	deggv	PROPN
ejpam-3715	273	4	−	−	PROPN
ejpam-3715	273	5	2	2	NUM
ejpam-3715	273	6	]	]	PUNCT
ejpam-3715	273	7	+	+	CCONJ
ejpam-3715	273	8	n2	n2	ADJ
ejpam-3715	273	9	]	]	X
ejpam-3715	273	10	]	]	X
ejpam-3715	274	1	+	+	NOUN
ejpam-3715	274	2	m1n2[(deghu+	m1n2[(deghu+	X
ejpam-3715	274	3	1	1	NUM
ejpam-3715	274	4	)	)	PUNCT
ejpam-3715	274	5	+	+	CCONJ
ejpam-3715	275	1	[	[	X
ejpam-3715	275	2	(	(	PUNCT
ejpam-3715	275	3	m1	m1	PROPN
ejpam-3715	275	4	−	−	PROPN
ejpam-3715	275	5	1)−	1)−	PROPN
ejpam-3715	276	1	[	[	X
ejpam-3715	276	2	deggu+	deggu+	X
ejpam-3715	276	3	deggv	deggv	PROPN
ejpam-3715	276	4	−	−	PROPN
ejpam-3715	276	5	2	2	NUM
ejpam-3715	276	6	]	]	PUNCT
ejpam-3715	276	7	+	+	CCONJ
ejpam-3715	276	8	n2	n2	ADJ
ejpam-3715	276	9	]	]	X
ejpam-3715	276	10	]	]	X
ejpam-3715	276	11	≥	≥	PRON
ejpam-3715	276	12	m1m2[(∆h	m1m2[(∆h	PROPN
ejpam-3715	276	13	+	+	CCONJ
ejpam-3715	276	14	1	1	NUM
ejpam-3715	276	15	)	)	PUNCT
ejpam-3715	276	16	+	+	CCONJ
ejpam-3715	276	17	(	(	PUNCT
ejpam-3715	276	18	∆h	∆h	NOUN
ejpam-3715	276	19	+	+	NOUN
ejpam-3715	276	20	1	1	NUM
ejpam-3715	276	21	)	)	PUNCT
ejpam-3715	276	22	]	]	PUNCT
ejpam-3715	277	1	+	+	NOUN
ejpam-3715	277	2	m1n2[∆h	m1n2[∆h	X
ejpam-3715	277	3	+	+	SYM
ejpam-3715	277	4	1	1	NUM
ejpam-3715	277	5	+	+	ADJ
ejpam-3715	277	6	m1	m1	NOUN
ejpam-3715	277	7	−	−	NOUN
ejpam-3715	277	8	1−	1−	NUM
ejpam-3715	278	1	[	[	X
ejpam-3715	278	2	∆g	∆g	PROPN
ejpam-3715	278	3	+	+	CCONJ
ejpam-3715	278	4	∆g	∆g	PROPN
ejpam-3715	278	5	−	−	PROPN
ejpam-3715	278	6	2	2	NUM
ejpam-3715	278	7	]	]	PUNCT
ejpam-3715	278	8	+	+	X
ejpam-3715	278	9	n2	n2	ADJ
ejpam-3715	278	10	]	]	X
ejpam-3715	279	1	+	+	CCONJ
ejpam-3715	280	1	[	[	X
ejpam-3715	280	2	[	[	PUNCT
ejpam-3715	280	3	m1(m1	m1(m1	NOUN
ejpam-3715	280	4	−	−	PROPN
ejpam-3715	280	5	1	1	NUM
ejpam-3715	280	6	)	)	PUNCT
ejpam-3715	280	7	2	2	NUM
ejpam-3715	280	8	]	]	PUNCT
ejpam-3715	280	9	−m1	−m1	PROPN
ejpam-3715	280	10	[	[	PUNCT
ejpam-3715	280	11	∆g	∆g	PROPN
ejpam-3715	280	12	+	+	CCONJ
ejpam-3715	280	13	∆g	∆g	PROPN
ejpam-3715	280	14	−	−	NUM
ejpam-3715	280	15	2	2	NUM
ejpam-3715	280	16	2	2	NUM
ejpam-3715	280	17	]	]	PUNCT
ejpam-3715	280	18	]	]	X
ejpam-3715	281	1	[	[	X
ejpam-3715	281	2	2[(m1	2[(m1	NUM
ejpam-3715	281	3	−	−	PROPN
ejpam-3715	281	4	1)−	1)−	PROPN
ejpam-3715	281	5	[	[	X
ejpam-3715	281	6	∆g	∆g	PROPN
ejpam-3715	281	7	+	+	CCONJ
ejpam-3715	281	8	∆g	∆g	PROPN
ejpam-3715	282	1	−	−	PROPN
ejpam-3715	282	2	2	2	NUM
ejpam-3715	282	3	]	]	PUNCT
ejpam-3715	282	4	+	+	CCONJ
ejpam-3715	282	5	n2	n2	ADJ
ejpam-3715	282	6	]	]	X
ejpam-3715	282	7	]	]	X
ejpam-3715	282	8	≥	≥	NUM
ejpam-3715	282	9	2m1m2(∆h	2m1m2(∆h	NUM
ejpam-3715	282	10	+	+	CCONJ
ejpam-3715	282	11	1	1	NUM
ejpam-3715	282	12	)	)	PUNCT
ejpam-3715	283	1	+	+	NOUN
ejpam-3715	283	2	m1n2[∆h	m1n2[∆h	NOUN
ejpam-3715	283	3	+	+	ADJ
ejpam-3715	283	4	m1	m1	PROPN
ejpam-3715	283	5	−	−	PROPN
ejpam-3715	283	6	2[∆g	2[∆g	NUM
ejpam-3715	283	7	−	−	NOUN
ejpam-3715	283	8	1	1	NUM
ejpam-3715	283	9	]	]	PUNCT
ejpam-3715	283	10	+	+	X
ejpam-3715	283	11	n2	n2	ADJ
ejpam-3715	283	12	]	]	X
ejpam-3715	283	13	+	+	CCONJ
ejpam-3715	283	14	2	2	NUM
ejpam-3715	283	15	[	[	PUNCT
ejpam-3715	283	16	m1(m1	m1(m1	NOUN
ejpam-3715	283	17	−	−	PROPN
ejpam-3715	283	18	1	1	NUM
ejpam-3715	283	19	)	)	PUNCT
ejpam-3715	283	20	2	2	NUM
ejpam-3715	283	21	−m1	−m1	NOUN
ejpam-3715	283	22	[	[	PUNCT
ejpam-3715	283	23	2(∆g	2(∆g	NUM
ejpam-3715	283	24	−	−	NOUN
ejpam-3715	283	25	1	1	NUM
ejpam-3715	283	26	)	)	PUNCT
ejpam-3715	283	27	2	2	NUM
ejpam-3715	283	28	]	]	PUNCT
ejpam-3715	283	29	]	]	X
ejpam-3715	284	1	[	[	X
ejpam-3715	284	2	m1	m1	NOUN
ejpam-3715	284	3	−	−	PROPN
ejpam-3715	284	4	1−	1−	NUM
ejpam-3715	284	5	2[∆g	2[∆g	NUM
ejpam-3715	284	6	−	−	NOUN
ejpam-3715	284	7	1	1	NUM
ejpam-3715	284	8	]	]	PUNCT
ejpam-3715	284	9	+	+	NUM
ejpam-3715	284	10	n2	n2	ADJ
ejpam-3715	284	11	]	]	PUNCT
ejpam-3715	284	12	.	.	PUNCT
ejpam-3715	284	13	m.	m.	PROPN
ejpam-3715	284	14	manjunath	manjunath	PROPN
ejpam-3715	284	15	,	,	PUNCT
ejpam-3715	284	16	v.	v.	ADP
ejpam-3715	284	17	lokesha	lokesha	PROPN
ejpam-3715	284	18	,	,	PUNCT
ejpam-3715	284	19	suvarna	suvarna	NOUN
ejpam-3715	284	20	,	,	PUNCT
ejpam-3715	284	21	s.	s.	PROPN
ejpam-3715	284	22	jain	jain	PROPN
ejpam-3715	284	23	/	/	SYM
ejpam-3715	284	24	eur	eur	PROPN
ejpam-3715	284	25	.	.	PUNCT
ejpam-3715	285	1	j.	j.	PROPN
ejpam-3715	285	2	pure	pure	PROPN
ejpam-3715	285	3	appl	appl	PROPN
ejpam-3715	285	4	.	.	PROPN
ejpam-3715	285	5	math	math	PROPN
ejpam-3715	285	6	,	,	PUNCT
ejpam-3715	285	7	14	14	NUM
ejpam-3715	285	8	(	(	PUNCT
ejpam-3715	285	9	2	2	NUM
ejpam-3715	285	10	)	)	PUNCT
ejpam-3715	285	11	(	(	PUNCT
ejpam-3715	285	12	2021	2021	NUM
ejpam-3715	285	13	)	)	PUNCT
ejpam-3715	285	14	,	,	PUNCT
ejpam-3715	285	15	340	340	NUM
ejpam-3715	285	16	-	-	SYM
ejpam-3715	285	17	350	350	NUM
ejpam-3715	285	18	348	348	NUM
ejpam-3715	285	19	m1[℘	m1[℘	NOUN
ejpam-3715	285	20	]	]	PUNCT
ejpam-3715	285	21	≥	≥	NOUN
ejpam-3715	285	22	2m1m2(∆h	2m1m2(∆h	NUM
ejpam-3715	285	23	+	+	CCONJ
ejpam-3715	285	24	1	1	NUM
ejpam-3715	285	25	)	)	PUNCT
ejpam-3715	286	1	+	+	NOUN
ejpam-3715	286	2	m1n2[∆h	m1n2[∆h	NOUN
ejpam-3715	286	3	+	+	ADJ
ejpam-3715	286	4	m1	m1	PROPN
ejpam-3715	286	5	−	−	PROPN
ejpam-3715	286	6	2[∆g	2[∆g	NUM
ejpam-3715	286	7	−	−	NOUN
ejpam-3715	286	8	1	1	NUM
ejpam-3715	286	9	]	]	PUNCT
ejpam-3715	286	10	+	+	X
ejpam-3715	286	11	n2	n2	ADJ
ejpam-3715	286	12	]	]	X
ejpam-3715	286	13	+	+	CCONJ
ejpam-3715	286	14	2	2	NUM
ejpam-3715	286	15	[	[	X
ejpam-3715	286	16	[	[	PUNCT
ejpam-3715	286	17	m1(m1	m1(m1	NOUN
ejpam-3715	286	18	−	−	PROPN
ejpam-3715	286	19	1	1	NUM
ejpam-3715	286	20	)	)	PUNCT
ejpam-3715	286	21	2	2	NUM
ejpam-3715	286	22	]	]	PUNCT
ejpam-3715	286	23	−m1(∆g	−m1(∆g	PROPN
ejpam-3715	286	24	−	−	PROPN
ejpam-3715	286	25	1	1	NUM
ejpam-3715	286	26	)	)	PUNCT
ejpam-3715	286	27	]	]	PUNCT
ejpam-3715	287	1	[	[	X
ejpam-3715	287	2	m1	m1	NOUN
ejpam-3715	287	3	−	−	PROPN
ejpam-3715	287	4	1−	1−	NUM
ejpam-3715	287	5	2[∆g	2[∆g	NUM
ejpam-3715	287	6	−	−	NOUN
ejpam-3715	287	7	1	1	NUM
ejpam-3715	287	8	]	]	PUNCT
ejpam-3715	287	9	+	+	NUM
ejpam-3715	287	10	n2	n2	ADJ
ejpam-3715	287	11	]	]	X
ejpam-3715	287	12	.	.	PUNCT
ejpam-3715	288	1	similarly	similarly	ADV
ejpam-3715	288	2	,	,	PUNCT
ejpam-3715	288	3	m1[℘	m1[℘	PROPN
ejpam-3715	288	4	]	]	X
ejpam-3715	288	5	≤	≤	NOUN
ejpam-3715	288	6	2m1m2(δh	2m1m2(δh	NUM
ejpam-3715	288	7	+	+	CCONJ
ejpam-3715	288	8	1	1	NUM
ejpam-3715	288	9	)	)	PUNCT
ejpam-3715	288	10	+	+	NOUN
ejpam-3715	288	11	m1n2[δh	m1n2[δh	NOUN
ejpam-3715	288	12	+	+	ADJ
ejpam-3715	288	13	m1	m1	PROPN
ejpam-3715	288	14	−	−	ADP
ejpam-3715	288	15	2[δg	2[δg	NUM
ejpam-3715	288	16	−	−	PROPN
ejpam-3715	288	17	1	1	NUM
ejpam-3715	288	18	]	]	PUNCT
ejpam-3715	288	19	+	+	X
ejpam-3715	288	20	n2	n2	ADJ
ejpam-3715	288	21	]	]	X
ejpam-3715	288	22	+	+	CCONJ
ejpam-3715	288	23	2	2	NUM
ejpam-3715	289	1	[	[	X
ejpam-3715	289	2	[	[	PUNCT
ejpam-3715	289	3	m1(m1	m1(m1	NOUN
ejpam-3715	289	4	−	−	PROPN
ejpam-3715	289	5	1	1	NUM
ejpam-3715	289	6	)	)	PUNCT
ejpam-3715	289	7	2	2	NUM
ejpam-3715	289	8	]	]	PUNCT
ejpam-3715	289	9	−m1(δg	−m1(δg	NUM
ejpam-3715	289	10	−	−	NOUN
ejpam-3715	289	11	1	1	NUM
ejpam-3715	289	12	)	)	PUNCT
ejpam-3715	289	13	]	]	PUNCT
ejpam-3715	290	1	[	[	X
ejpam-3715	290	2	m1	m1	NOUN
ejpam-3715	290	3	−	−	NOUN
ejpam-3715	290	4	1−	1−	NUM
ejpam-3715	290	5	2[δg	2[δg	NUM
ejpam-3715	290	6	−	−	NOUN
ejpam-3715	290	7	1	1	NUM
ejpam-3715	290	8	]	]	PUNCT
ejpam-3715	290	9	+	+	NUM
ejpam-3715	290	10	n2	n2	ADJ
ejpam-3715	290	11	]	]	PUNCT
ejpam-3715	290	12	.	.	PUNCT
ejpam-3715	291	1	theorem	theorem	NOUN
ejpam-3715	291	2	5	5	NUM
ejpam-3715	291	3	.	.	PUNCT
ejpam-3715	292	1	let	let	VERB
ejpam-3715	292	2	g	g	NOUN
ejpam-3715	292	3	and	and	CCONJ
ejpam-3715	292	4	h	h	NOUN
ejpam-3715	292	5	are	be	AUX
ejpam-3715	292	6	two	two	NUM
ejpam-3715	292	7	simple	simple	ADJ
ejpam-3715	292	8	connected	connected	ADJ
ejpam-3715	292	9	graphs	graph	NOUN
ejpam-3715	292	10	,	,	PUNCT
ejpam-3715	292	11	then	then	ADV
ejpam-3715	292	12	the	the	DET
ejpam-3715	292	13	bounds	bound	NOUN
ejpam-3715	292	14	for	for	ADP
ejpam-3715	292	15	the	the	DET
ejpam-3715	292	16	first	first	ADJ
ejpam-3715	292	17	reformulated	reformulate	VERB
ejpam-3715	292	18	zagreb	zagreb	PROPN
ejpam-3715	292	19	index	index	NOUN
ejpam-3715	292	20	of	of	ADP
ejpam-3715	292	21	℘	℘	PROPN
ejpam-3715	292	22	are	be	AUX
ejpam-3715	292	23	given	give	VERB
ejpam-3715	292	24	by	by	ADP
ejpam-3715	292	25	em1[℘	em1[℘	NOUN
ejpam-3715	292	26	]	]	PUNCT
ejpam-3715	292	27	≥	≥	PROPN
ejpam-3715	292	28	4m1m2∆	4m1m2∆	NUM
ejpam-3715	292	29	2	2	NUM
ejpam-3715	292	30	h	h	NOUN
ejpam-3715	293	1	+	+	NOUN
ejpam-3715	293	2	m1n2[∆h	m1n2[∆h	NOUN
ejpam-3715	293	3	+	+	ADJ
ejpam-3715	293	4	m1	m1	PROPN
ejpam-3715	293	5	−	−	PROPN
ejpam-3715	293	6	2∆g	2∆g	PROPN
ejpam-3715	293	7	+	+	X
ejpam-3715	293	8	n2	n2	ADJ
ejpam-3715	293	9	]	]	X
ejpam-3715	293	10	2	2	NUM
ejpam-3715	294	1	+	+	SYM
ejpam-3715	294	2	4	4	NUM
ejpam-3715	294	3	[	[	X
ejpam-3715	294	4	[	[	PUNCT
ejpam-3715	294	5	m1(m1	m1(m1	NOUN
ejpam-3715	294	6	−	−	PROPN
ejpam-3715	294	7	1	1	NUM
ejpam-3715	294	8	)	)	PUNCT
ejpam-3715	294	9	2	2	NUM
ejpam-3715	294	10	]	]	PUNCT
ejpam-3715	294	11	−m1(∆g	−m1(∆g	PROPN
ejpam-3715	294	12	−	−	PROPN
ejpam-3715	294	13	1	1	NUM
ejpam-3715	294	14	)	)	PUNCT
ejpam-3715	294	15	]	]	PUNCT
ejpam-3715	295	1	[	[	X
ejpam-3715	295	2	m1	m1	NOUN
ejpam-3715	295	3	−	−	PROPN
ejpam-3715	295	4	2∆g	2∆g	PROPN
ejpam-3715	295	5	+	+	X
ejpam-3715	295	6	n2	n2	ADJ
ejpam-3715	295	7	]	]	X
ejpam-3715	295	8	2	2	NUM
ejpam-3715	295	9	and	and	CCONJ
ejpam-3715	295	10	em1[℘	em1[℘	NOUN
ejpam-3715	295	11	]	]	PUNCT
ejpam-3715	295	12	≤	≤	NUM
ejpam-3715	295	13	4m1m2δ	4m1m2δ	NUM
ejpam-3715	295	14	2	2	NUM
ejpam-3715	295	15	h	h	NOUN
ejpam-3715	295	16	+	+	NOUN
ejpam-3715	295	17	m1n2[δh	m1n2[δh	NOUN
ejpam-3715	295	18	+	+	ADJ
ejpam-3715	295	19	m1	m1	NOUN
ejpam-3715	295	20	−	−	NOUN
ejpam-3715	295	21	2δg	2δg	NOUN
ejpam-3715	295	22	+	+	CCONJ
ejpam-3715	295	23	n2	n2	ADJ
ejpam-3715	295	24	]	]	X
ejpam-3715	295	25	2	2	NUM
ejpam-3715	295	26	+	+	SYM
ejpam-3715	295	27	4	4	NUM
ejpam-3715	295	28	[	[	X
ejpam-3715	295	29	[	[	PUNCT
ejpam-3715	295	30	m1(m1	m1(m1	NOUN
ejpam-3715	295	31	−	−	PROPN
ejpam-3715	295	32	1	1	NUM
ejpam-3715	295	33	)	)	PUNCT
ejpam-3715	295	34	2	2	NUM
ejpam-3715	295	35	]	]	PUNCT
ejpam-3715	295	36	−m1(δg	−m1(δg	NUM
ejpam-3715	295	37	−	−	NOUN
ejpam-3715	295	38	1	1	NUM
ejpam-3715	295	39	)	)	PUNCT
ejpam-3715	295	40	]	]	PUNCT
ejpam-3715	296	1	[	[	X
ejpam-3715	296	2	m1	m1	NOUN
ejpam-3715	296	3	−	−	NUM
ejpam-3715	296	4	2δg	2δg	NOUN
ejpam-3715	296	5	+	+	CCONJ
ejpam-3715	296	6	n2	n2	ADJ
ejpam-3715	296	7	]	]	X
ejpam-3715	296	8	2	2	X
ejpam-3715	296	9	.	.	PUNCT
ejpam-3715	296	10	proof	proof	NOUN
ejpam-3715	296	11	.	.	PUNCT
ejpam-3715	297	1	consider	consider	VERB
ejpam-3715	297	2	,	,	PUNCT
ejpam-3715	297	3	em1[℘	em1[℘	NOUN
ejpam-3715	297	4	]	]	PUNCT
ejpam-3715	297	5	=	=	SYM
ejpam-3715	297	6	m1	m1	PROPN
ejpam-3715	297	7	∑	∑	PUNCT
ejpam-3715	297	8	uv∈e(h	uv∈e(h	NUM
ejpam-3715	297	9	)	)	PUNCT
ejpam-3715	298	1	[	[	X
ejpam-3715	298	2	(	(	PUNCT
ejpam-3715	298	3	deghu+	deghu+	ADP
ejpam-3715	298	4	1	1	NUM
ejpam-3715	298	5	)	)	PUNCT
ejpam-3715	298	6	+	+	CCONJ
ejpam-3715	298	7	(	(	PUNCT
ejpam-3715	298	8	deghv	deghv	NOUN
ejpam-3715	298	9	+	+	PROPN
ejpam-3715	298	10	1)−	1)−	NUM
ejpam-3715	298	11	2]2	2]2	NUM
ejpam-3715	299	1	+	+	CCONJ
ejpam-3715	299	2	∑	∑	PUNCT
ejpam-3715	299	3	e∈v	e∈v	NOUN
ejpam-3715	299	4	(	(	PUNCT
ejpam-3715	299	5	j	j	PROPN
ejpam-3715	300	1	[	[	X
ejpam-3715	300	2	g	g	NOUN
ejpam-3715	300	3	]	]	X
ejpam-3715	300	4	)	)	PUNCT
ejpam-3715	300	5	∑	∑	ADV
ejpam-3715	300	6	u∈v	u∈v	NOUN
ejpam-3715	300	7	(	(	PUNCT
ejpam-3715	300	8	h	h	NOUN
ejpam-3715	300	9	)	)	PUNCT
ejpam-3715	301	1	[	[	X
ejpam-3715	301	2	(	(	PUNCT
ejpam-3715	301	3	deghu+	deghu+	ADP
ejpam-3715	301	4	1	1	NUM
ejpam-3715	301	5	)	)	PUNCT
ejpam-3715	302	1	+	+	CCONJ
ejpam-3715	302	2	(	(	PUNCT
ejpam-3715	302	3	degj(g)e+	degj(g)e+	PROPN
ejpam-3715	302	4	n2)−	n2)−	PROPN
ejpam-3715	302	5	2]2	2]2	PROPN
ejpam-3715	303	1	+	+	CCONJ
ejpam-3715	303	2	∑	∑	PUNCT
ejpam-3715	303	3	ef∈e(j	ef∈e(j	NOUN
ejpam-3715	303	4	[	[	X
ejpam-3715	303	5	g	g	X
ejpam-3715	303	6	]	]	PUNCT
ejpam-3715	303	7	)	)	PUNCT
ejpam-3715	304	1	[	[	X
ejpam-3715	304	2	(	(	PUNCT
ejpam-3715	304	3	degj	degj	NOUN
ejpam-3715	304	4	[	[	X
ejpam-3715	304	5	g]e+	g]e+	NOUN
ejpam-3715	304	6	n2	n2	NOUN
ejpam-3715	304	7	)	)	PUNCT
ejpam-3715	304	8	+	+	CCONJ
ejpam-3715	304	9	(	(	PUNCT
ejpam-3715	304	10	degj	degj	ADJ
ejpam-3715	304	11	[	[	X
ejpam-3715	304	12	g]f	g]f	NOUN
ejpam-3715	304	13	+	+	CCONJ
ejpam-3715	304	14	n2)−	n2)−	ADJ
ejpam-3715	304	15	2]2	2]2	NUM
ejpam-3715	304	16	=	=	SYM
ejpam-3715	304	17	m1m2[(deghu+	m1m2[(deghu+	X
ejpam-3715	304	18	1	1	NUM
ejpam-3715	304	19	)	)	PUNCT
ejpam-3715	304	20	+	+	CCONJ
ejpam-3715	304	21	(	(	PUNCT
ejpam-3715	304	22	deghv	deghv	NOUN
ejpam-3715	304	23	+	+	PROPN
ejpam-3715	304	24	1)−	1)−	NUM
ejpam-3715	304	25	2]2	2]2	NUM
ejpam-3715	305	1	+	+	PUNCT
ejpam-3715	305	2	m1n2[(deghu+	m1n2[(deghu+	X
ejpam-3715	305	3	1	1	NUM
ejpam-3715	305	4	)	)	PUNCT
ejpam-3715	305	5	+	+	CCONJ
ejpam-3715	305	6	(	(	PUNCT
ejpam-3715	305	7	degj	degj	ADJ
ejpam-3715	305	8	[	[	X
ejpam-3715	305	9	g]e+	g]e+	PROPN
ejpam-3715	305	10	n2)−	n2)−	ADJ
ejpam-3715	305	11	2]2	2]2	PUNCT
ejpam-3715	306	1	+	+	PUNCT
ejpam-3715	307	1	[	[	X
ejpam-3715	307	2	[	[	PUNCT
ejpam-3715	307	3	m1(m1	m1(m1	NOUN
ejpam-3715	307	4	−	−	PROPN
ejpam-3715	307	5	1	1	NUM
ejpam-3715	307	6	)	)	PUNCT
ejpam-3715	307	7	2	2	NUM
ejpam-3715	307	8	]	]	PUNCT
ejpam-3715	307	9	−m1	−m1	X
ejpam-3715	307	10	[	[	PUNCT
ejpam-3715	307	11	deggu+	deggu+	INTJ
ejpam-3715	307	12	deggv	deggv	PROPN
ejpam-3715	307	13	−	−	PROPN
ejpam-3715	307	14	2	2	NUM
ejpam-3715	307	15	2	2	NUM
ejpam-3715	307	16	]	]	PUNCT
ejpam-3715	307	17	]	]	X
ejpam-3715	308	1	[	[	X
ejpam-3715	308	2	(	(	PUNCT
ejpam-3715	308	3	degj	degj	NOUN
ejpam-3715	308	4	[	[	X
ejpam-3715	308	5	g]e+	g]e+	NOUN
ejpam-3715	308	6	n2	n2	NOUN
ejpam-3715	308	7	)	)	PUNCT
ejpam-3715	308	8	+	+	CCONJ
ejpam-3715	308	9	(	(	PUNCT
ejpam-3715	308	10	degj	degj	ADJ
ejpam-3715	308	11	[	[	X
ejpam-3715	308	12	g]f	g]f	NOUN
ejpam-3715	308	13	+	+	CCONJ
ejpam-3715	308	14	n2)−	n2)−	ADJ
ejpam-3715	308	15	2]2	2]2	NUM
ejpam-3715	308	16	=	=	SYM
ejpam-3715	308	17	m1m2[(deghu+	m1m2[(deghu+	X
ejpam-3715	308	18	1	1	NUM
ejpam-3715	308	19	)	)	PUNCT
ejpam-3715	308	20	+	+	CCONJ
ejpam-3715	308	21	(	(	PUNCT
ejpam-3715	308	22	deghv	deghv	NOUN
ejpam-3715	308	23	+	+	PROPN
ejpam-3715	308	24	1)−	1)−	NUM
ejpam-3715	308	25	2]2	2]2	NUM
ejpam-3715	309	1	+	+	PUNCT
ejpam-3715	310	1	[	[	X
ejpam-3715	310	2	[	[	PUNCT
ejpam-3715	310	3	m1(m1	m1(m1	NOUN
ejpam-3715	310	4	−	−	PROPN
ejpam-3715	310	5	1	1	NUM
ejpam-3715	310	6	)	)	PUNCT
ejpam-3715	310	7	2	2	NUM
ejpam-3715	310	8	]	]	PUNCT
ejpam-3715	310	9	−m1	−m1	X
ejpam-3715	310	10	[	[	PUNCT
ejpam-3715	310	11	deggu+	deggu+	INTJ
ejpam-3715	310	12	deggv	deggv	PROPN
ejpam-3715	310	13	−	−	PROPN
ejpam-3715	310	14	2	2	NUM
ejpam-3715	310	15	2	2	NUM
ejpam-3715	310	16	]	]	PUNCT
ejpam-3715	310	17	]	]	PUNCT
ejpam-3715	311	1	[	[	X
ejpam-3715	311	2	[	[	X
ejpam-3715	311	3	(	(	PUNCT
ejpam-3715	311	4	m1	m1	PROPN
ejpam-3715	311	5	−	−	PROPN
ejpam-3715	311	6	1)−	1)−	PROPN
ejpam-3715	312	1	[	[	X
ejpam-3715	312	2	deggu+	deggu+	X
ejpam-3715	312	3	deggv	deggv	PROPN
ejpam-3715	312	4	−	−	PROPN
ejpam-3715	312	5	2	2	NUM
ejpam-3715	312	6	]	]	PUNCT
ejpam-3715	312	7	+	+	X
ejpam-3715	312	8	n2	n2	ADJ
ejpam-3715	312	9	]	]	X
ejpam-3715	312	10	+	+	CCONJ
ejpam-3715	313	1	[	[	X
ejpam-3715	313	2	(	(	PUNCT
ejpam-3715	313	3	m1	m1	PROPN
ejpam-3715	313	4	−	−	PROPN
ejpam-3715	313	5	1)−	1)−	PROPN
ejpam-3715	314	1	[	[	X
ejpam-3715	314	2	deggu+	deggu+	X
ejpam-3715	314	3	deggv	deggv	PROPN
ejpam-3715	314	4	−	−	PROPN
ejpam-3715	314	5	2	2	NUM
ejpam-3715	314	6	]	]	PUNCT
ejpam-3715	314	7	+	+	CCONJ
ejpam-3715	314	8	n2]−	n2]−	ADV
ejpam-3715	314	9	2]2	2]2	NUM
ejpam-3715	315	1	+	+	SCONJ
ejpam-3715	315	2	m1n2[(deghu+	m1n2[(deghu+	X
ejpam-3715	315	3	1	1	NUM
ejpam-3715	315	4	)	)	PUNCT
ejpam-3715	315	5	+	+	CCONJ
ejpam-3715	316	1	[	[	X
ejpam-3715	316	2	(	(	PUNCT
ejpam-3715	316	3	m1	m1	PROPN
ejpam-3715	316	4	−	−	PROPN
ejpam-3715	316	5	1)−	1)−	PROPN
ejpam-3715	317	1	[	[	X
ejpam-3715	317	2	deggu+	deggu+	X
ejpam-3715	317	3	deggv	deggv	PROPN
ejpam-3715	317	4	−	−	PROPN
ejpam-3715	317	5	2	2	NUM
ejpam-3715	317	6	]	]	PUNCT
ejpam-3715	317	7	+	+	CCONJ
ejpam-3715	317	8	n2]−	n2]−	ADV
ejpam-3715	317	9	2]2	2]2	NUM
ejpam-3715	317	10	≥	≥	NOUN
ejpam-3715	317	11	m1m2[(∆h	m1m2[(∆h	PROPN
ejpam-3715	317	12	+	+	CCONJ
ejpam-3715	317	13	1	1	NUM
ejpam-3715	317	14	)	)	PUNCT
ejpam-3715	317	15	+	+	CCONJ
ejpam-3715	317	16	(	(	PUNCT
ejpam-3715	317	17	∆h	∆h	PROPN
ejpam-3715	317	18	+	+	PROPN
ejpam-3715	317	19	1)−	1)−	PROPN
ejpam-3715	317	20	2]2	2]2	NUM
ejpam-3715	318	1	+	+	PUNCT
ejpam-3715	319	1	[	[	X
ejpam-3715	319	2	[	[	PUNCT
ejpam-3715	319	3	m1(m1	m1(m1	NOUN
ejpam-3715	319	4	−	−	PROPN
ejpam-3715	319	5	1	1	NUM
ejpam-3715	319	6	)	)	PUNCT
ejpam-3715	319	7	2	2	NUM
ejpam-3715	319	8	]	]	PUNCT
ejpam-3715	319	9	−m1	−m1	PROPN
ejpam-3715	319	10	[	[	PUNCT
ejpam-3715	319	11	∆g	∆g	PROPN
ejpam-3715	319	12	+	+	CCONJ
ejpam-3715	319	13	∆g	∆g	PROPN
ejpam-3715	319	14	−	−	NUM
ejpam-3715	319	15	2	2	NUM
ejpam-3715	319	16	2	2	NUM
ejpam-3715	319	17	]	]	PUNCT
ejpam-3715	319	18	]	]	PUNCT
ejpam-3715	320	1	[	[	X
ejpam-3715	320	2	[	[	X
ejpam-3715	320	3	(	(	PUNCT
ejpam-3715	320	4	m1	m1	PROPN
ejpam-3715	320	5	−	−	PROPN
ejpam-3715	320	6	1)−	1)−	PROPN
ejpam-3715	321	1	[	[	X
ejpam-3715	321	2	∆g	∆g	PROPN
ejpam-3715	321	3	+	+	CCONJ
ejpam-3715	321	4	∆g	∆g	PROPN
ejpam-3715	321	5	−	−	PROPN
ejpam-3715	321	6	2	2	NUM
ejpam-3715	321	7	]	]	PUNCT
ejpam-3715	321	8	+	+	X
ejpam-3715	321	9	n2	n2	ADJ
ejpam-3715	321	10	]	]	X
ejpam-3715	322	1	+	+	CCONJ
ejpam-3715	323	1	[	[	X
ejpam-3715	323	2	(	(	PUNCT
ejpam-3715	323	3	m1	m1	PROPN
ejpam-3715	323	4	−	−	PROPN
ejpam-3715	323	5	1)−	1)−	PROPN
ejpam-3715	324	1	[	[	X
ejpam-3715	324	2	∆g	∆g	PROPN
ejpam-3715	324	3	+	+	CCONJ
ejpam-3715	324	4	∆g	∆g	PROPN
ejpam-3715	324	5	−	−	PROPN
ejpam-3715	324	6	2	2	NUM
ejpam-3715	324	7	]	]	PUNCT
ejpam-3715	324	8	+	+	CCONJ
ejpam-3715	324	9	n2]−	n2]−	ADV
ejpam-3715	324	10	2]2	2]2	NUM
ejpam-3715	324	11	references	reference	NOUN
ejpam-3715	324	12	349	349	NUM
ejpam-3715	325	1	+	+	NOUN
ejpam-3715	325	2	m1n2[∆h	m1n2[∆h	NOUN
ejpam-3715	325	3	+	+	SYM
ejpam-3715	325	4	1	1	NUM
ejpam-3715	325	5	+	+	ADJ
ejpam-3715	325	6	m1	m1	NOUN
ejpam-3715	325	7	−	−	NOUN
ejpam-3715	325	8	1−	1−	NUM
ejpam-3715	326	1	[	[	X
ejpam-3715	326	2	∆g	∆g	PROPN
ejpam-3715	326	3	+	+	CCONJ
ejpam-3715	326	4	∆g	∆g	PROPN
ejpam-3715	326	5	−	−	PROPN
ejpam-3715	326	6	2	2	NUM
ejpam-3715	326	7	]	]	PUNCT
ejpam-3715	326	8	+	+	NUM
ejpam-3715	326	9	n2	n2	ADJ
ejpam-3715	326	10	−	−	PROPN
ejpam-3715	326	11	2]2	2]2	NUM
ejpam-3715	326	12	≥	≥	NOUN
ejpam-3715	327	1	m1m2[2(∆h	m1m2[2(∆h	VERB
ejpam-3715	327	2	+	+	PROPN
ejpam-3715	327	3	1)−	1)−	PROPN
ejpam-3715	327	4	2]2	2]2	NUM
ejpam-3715	328	1	+	+	PUNCT
ejpam-3715	329	1	[	[	X
ejpam-3715	329	2	[	[	PUNCT
ejpam-3715	329	3	m1(m1	m1(m1	NOUN
ejpam-3715	329	4	−	−	PROPN
ejpam-3715	329	5	1	1	NUM
ejpam-3715	329	6	)	)	PUNCT
ejpam-3715	329	7	2	2	NUM
ejpam-3715	329	8	]	]	PUNCT
ejpam-3715	329	9	−m1	−m1	PROPN
ejpam-3715	329	10	[	[	PUNCT
ejpam-3715	329	11	2(∆g	2(∆g	NUM
ejpam-3715	329	12	−	−	NOUN
ejpam-3715	329	13	1	1	NUM
ejpam-3715	329	14	)	)	PUNCT
ejpam-3715	329	15	2	2	NUM
ejpam-3715	329	16	]	]	PUNCT
ejpam-3715	329	17	]	]	X
ejpam-3715	330	1	[	[	X
ejpam-3715	330	2	2[(m1	2[(m1	NUM
ejpam-3715	330	3	−	−	PROPN
ejpam-3715	330	4	1)−	1)−	NUM
ejpam-3715	330	5	2[∆g	2[∆g	NUM
ejpam-3715	330	6	−	−	NOUN
ejpam-3715	330	7	1	1	NUM
ejpam-3715	330	8	]	]	PUNCT
ejpam-3715	330	9	+	+	CCONJ
ejpam-3715	330	10	n2]−	n2]−	ADV
ejpam-3715	330	11	2]2	2]2	NUM
ejpam-3715	331	1	+	+	NOUN
ejpam-3715	331	2	m1n2[∆h	m1n2[∆h	NOUN
ejpam-3715	331	3	+	+	ADJ
ejpam-3715	331	4	m1	m1	PROPN
ejpam-3715	331	5	−	−	PROPN
ejpam-3715	331	6	2[∆g	2[∆g	NUM
ejpam-3715	331	7	−	−	NOUN
ejpam-3715	331	8	1	1	NUM
ejpam-3715	331	9	]	]	PUNCT
ejpam-3715	331	10	+	+	NUM
ejpam-3715	331	11	n2	n2	ADJ
ejpam-3715	331	12	−	−	PROPN
ejpam-3715	331	13	2]2	2]2	NUM
ejpam-3715	331	14	≥	≥	NOUN
ejpam-3715	331	15	4m1m2[∆h	4m1m2[∆h	NUM
ejpam-3715	331	16	+	+	CCONJ
ejpam-3715	331	17	1−	1−	NUM
ejpam-3715	331	18	1]2	1]2	NUM
ejpam-3715	332	1	+	+	CCONJ
ejpam-3715	333	1	[	[	X
ejpam-3715	333	2	[	[	PUNCT
ejpam-3715	333	3	m1(m1	m1(m1	NOUN
ejpam-3715	333	4	−	−	PROPN
ejpam-3715	333	5	1	1	NUM
ejpam-3715	333	6	)	)	PUNCT
ejpam-3715	333	7	2	2	NUM
ejpam-3715	333	8	]	]	PUNCT
ejpam-3715	333	9	−m1(∆g	−m1(∆g	PROPN
ejpam-3715	333	10	−	−	PROPN
ejpam-3715	333	11	1	1	NUM
ejpam-3715	333	12	)	)	PUNCT
ejpam-3715	333	13	]	]	PUNCT
ejpam-3715	334	1	[	[	X
ejpam-3715	334	2	2[m1	2[m1	NUM
ejpam-3715	334	3	−	−	PROPN
ejpam-3715	334	4	1−	1−	NUM
ejpam-3715	334	5	2[∆g	2[∆g	NUM
ejpam-3715	334	6	−	−	NOUN
ejpam-3715	334	7	1	1	NUM
ejpam-3715	334	8	]	]	PUNCT
ejpam-3715	334	9	+	+	NUM
ejpam-3715	334	10	n2	n2	ADJ
ejpam-3715	334	11	−	−	PROPN
ejpam-3715	334	12	1]]2	1]]2	NUM
ejpam-3715	334	13	+	+	NOUN
ejpam-3715	334	14	m1n2[∆h	m1n2[∆h	NOUN
ejpam-3715	334	15	+	+	ADJ
ejpam-3715	334	16	m1	m1	PROPN
ejpam-3715	334	17	−	−	PROPN
ejpam-3715	334	18	2[∆g	2[∆g	NUM
ejpam-3715	334	19	−	−	NOUN
ejpam-3715	334	20	1	1	NUM
ejpam-3715	334	21	+	+	CCONJ
ejpam-3715	334	22	1	1	NUM
ejpam-3715	334	23	]	]	X
ejpam-3715	334	24	+	+	NUM
ejpam-3715	334	25	n2	n2	ADJ
ejpam-3715	334	26	]	]	X
ejpam-3715	334	27	2	2	NUM
ejpam-3715	334	28	≥	≥	NOUN
ejpam-3715	334	29	4m1m2∆	4m1m2∆	NUM
ejpam-3715	334	30	2	2	NUM
ejpam-3715	334	31	h	h	NOUN
ejpam-3715	334	32	+	+	NOUN
ejpam-3715	334	33	m1n2[∆h	m1n2[∆h	NOUN
ejpam-3715	334	34	+	+	ADJ
ejpam-3715	334	35	m1	m1	PROPN
ejpam-3715	334	36	−	−	PROPN
ejpam-3715	334	37	2∆g	2∆g	PROPN
ejpam-3715	334	38	+	+	X
ejpam-3715	334	39	n2	n2	ADJ
ejpam-3715	334	40	]	]	X
ejpam-3715	334	41	2	2	NUM
ejpam-3715	334	42	+	+	SYM
ejpam-3715	334	43	4	4	NUM
ejpam-3715	335	1	[	[	X
ejpam-3715	335	2	[	[	PUNCT
ejpam-3715	335	3	m1(m1	m1(m1	NOUN
ejpam-3715	335	4	−	−	PROPN
ejpam-3715	335	5	1	1	NUM
ejpam-3715	335	6	)	)	PUNCT
ejpam-3715	335	7	2	2	NUM
ejpam-3715	335	8	]	]	PUNCT
ejpam-3715	335	9	−m1(∆g	−m1(∆g	PROPN
ejpam-3715	335	10	−	−	PROPN
ejpam-3715	335	11	1	1	NUM
ejpam-3715	335	12	)	)	PUNCT
ejpam-3715	335	13	]	]	PUNCT
ejpam-3715	336	1	[	[	X
ejpam-3715	336	2	m1	m1	NOUN
ejpam-3715	336	3	−	−	PROPN
ejpam-3715	336	4	2∆g	2∆g	PROPN
ejpam-3715	336	5	+	+	X
ejpam-3715	336	6	n2	n2	ADJ
ejpam-3715	336	7	]	]	X
ejpam-3715	336	8	2	2	NUM
ejpam-3715	336	9	.	.	NUM
ejpam-3715	336	10	em1[℘	em1[℘	NOUN
ejpam-3715	336	11	]	]	PUNCT
ejpam-3715	336	12	≥	≥	PROPN
ejpam-3715	336	13	4m1m2∆	4m1m2∆	NUM
ejpam-3715	336	14	2	2	NUM
ejpam-3715	336	15	h	h	NOUN
ejpam-3715	336	16	+	+	NOUN
ejpam-3715	336	17	m1n2[∆h	m1n2[∆h	NOUN
ejpam-3715	336	18	+	+	ADJ
ejpam-3715	336	19	m1	m1	PROPN
ejpam-3715	336	20	−	−	PROPN
ejpam-3715	336	21	2∆g	2∆g	PROPN
ejpam-3715	336	22	+	+	X
ejpam-3715	336	23	n2	n2	ADJ
ejpam-3715	336	24	]	]	X
ejpam-3715	336	25	2	2	NUM
ejpam-3715	336	26	+	+	SYM
ejpam-3715	336	27	4	4	NUM
ejpam-3715	336	28	[	[	X
ejpam-3715	336	29	[	[	PUNCT
ejpam-3715	336	30	m1(m1	m1(m1	NOUN
ejpam-3715	336	31	−	−	PROPN
ejpam-3715	336	32	1	1	NUM
ejpam-3715	336	33	)	)	PUNCT
ejpam-3715	336	34	2	2	NUM
ejpam-3715	336	35	]	]	PUNCT
ejpam-3715	336	36	−m1(∆g	−m1(∆g	PROPN
ejpam-3715	336	37	−	−	PROPN
ejpam-3715	336	38	1	1	NUM
ejpam-3715	336	39	)	)	PUNCT
ejpam-3715	336	40	]	]	PUNCT
ejpam-3715	337	1	[	[	X
ejpam-3715	337	2	m1	m1	NOUN
ejpam-3715	337	3	−	−	PROPN
ejpam-3715	337	4	2∆g	2∆g	PROPN
ejpam-3715	337	5	+	+	X
ejpam-3715	337	6	n2	n2	ADJ
ejpam-3715	337	7	]	]	X
ejpam-3715	337	8	2	2	X
ejpam-3715	337	9	.	.	PUNCT
ejpam-3715	337	10	similarly	similarly	ADV
ejpam-3715	337	11	,	,	PUNCT
ejpam-3715	337	12	em1[℘	em1[℘	NOUN
ejpam-3715	337	13	]	]	PUNCT
ejpam-3715	337	14	≤	≤	NUM
ejpam-3715	337	15	4m1m2δ	4m1m2δ	NUM
ejpam-3715	337	16	2	2	NUM
ejpam-3715	337	17	h	h	NOUN
ejpam-3715	337	18	+	+	NOUN
ejpam-3715	337	19	m1n2[δh	m1n2[δh	NOUN
ejpam-3715	337	20	+	+	ADJ
ejpam-3715	337	21	m1	m1	NOUN
ejpam-3715	337	22	−	−	NOUN
ejpam-3715	337	23	2δg	2δg	NOUN
ejpam-3715	337	24	+	+	CCONJ
ejpam-3715	337	25	n2	n2	ADJ
ejpam-3715	337	26	]	]	X
ejpam-3715	337	27	2	2	NUM
ejpam-3715	337	28	+	+	SYM
ejpam-3715	337	29	4	4	NUM
ejpam-3715	337	30	[	[	X
ejpam-3715	337	31	[	[	PUNCT
ejpam-3715	337	32	m1(m1	m1(m1	NOUN
ejpam-3715	337	33	−	−	PROPN
ejpam-3715	337	34	1	1	NUM
ejpam-3715	337	35	)	)	PUNCT
ejpam-3715	337	36	2	2	NUM
ejpam-3715	337	37	]	]	PUNCT
ejpam-3715	337	38	−m1(δg	−m1(δg	NUM
ejpam-3715	337	39	−	−	NOUN
ejpam-3715	337	40	1	1	NUM
ejpam-3715	337	41	)	)	PUNCT
ejpam-3715	337	42	]	]	PUNCT
ejpam-3715	338	1	[	[	X
ejpam-3715	338	2	m1	m1	NOUN
ejpam-3715	338	3	−	−	NUM
ejpam-3715	338	4	2δg	2δg	NOUN
ejpam-3715	338	5	+	+	CCONJ
ejpam-3715	338	6	n2	n2	ADJ
ejpam-3715	338	7	]	]	X
ejpam-3715	338	8	2	2	NUM
ejpam-3715	338	9	.	.	NOUN
ejpam-3715	338	10	3	3	NUM
ejpam-3715	338	11	.	.	X
ejpam-3715	338	12	conclusion	conclusion	NOUN
ejpam-3715	338	13	in	in	ADP
ejpam-3715	338	14	this	this	DET
ejpam-3715	338	15	work	work	NOUN
ejpam-3715	338	16	,	,	PUNCT
ejpam-3715	338	17	we	we	PRON
ejpam-3715	338	18	considered	consider	VERB
ejpam-3715	338	19	℘-graph	℘-graph	NOUN
ejpam-3715	338	20	and	and	CCONJ
ejpam-3715	338	21	concentrated	concentrate	VERB
ejpam-3715	338	22	five	five	NUM
ejpam-3715	338	23	important	important	ADJ
ejpam-3715	338	24	topological	topological	ADJ
ejpam-3715	338	25	indices	index	NOUN
ejpam-3715	338	26	and	and	CCONJ
ejpam-3715	338	27	determine	determine	VERB
ejpam-3715	338	28	their	their	PRON
ejpam-3715	338	29	bounds	bound	NOUN
ejpam-3715	338	30	.	.	PUNCT
ejpam-3715	339	1	similar	similar	ADJ
ejpam-3715	339	2	way	way	NOUN
ejpam-3715	339	3	,	,	PUNCT
ejpam-3715	339	4	researchers	researcher	NOUN
ejpam-3715	339	5	can	can	AUX
ejpam-3715	339	6	considering	consider	VERB
ejpam-3715	339	7	different	different	ADJ
ejpam-3715	339	8	class	class	NOUN
ejpam-3715	339	9	of	of	ADP
ejpam-3715	339	10	topological	topological	ADJ
ejpam-3715	339	11	indices	index	NOUN
ejpam-3715	339	12	and	and	CCONJ
ejpam-3715	339	13	determine	determine	VERB
ejpam-3715	339	14	their	their	PRON
ejpam-3715	339	15	corresponding	correspond	VERB
ejpam-3715	339	16	bounds	bound	NOUN
ejpam-3715	339	17	for	for	ADP
ejpam-3715	339	18	℘-graph	℘-graph	NOUN
ejpam-3715	339	19	.	.	PUNCT
ejpam-3715	340	1	acknowledgements	acknowledgement	VERB
ejpam-3715	340	2	the	the	DET
ejpam-3715	340	3	authors	author	NOUN
ejpam-3715	340	4	thankful	thankful	ADJ
ejpam-3715	340	5	to	to	ADP
ejpam-3715	340	6	referee	referee	NOUN
ejpam-3715	340	7	for	for	ADP
ejpam-3715	340	8	improvement	improvement	NOUN
ejpam-3715	340	9	of	of	ADP
ejpam-3715	340	10	the	the	DET
ejpam-3715	340	11	paper	paper	NOUN
ejpam-3715	340	12	.	.	PUNCT
ejpam-3715	341	1	references	reference	NOUN
ejpam-3715	341	2	[	[	X
ejpam-3715	341	3	1	1	X
ejpam-3715	341	4	]	]	PUNCT
ejpam-3715	341	5	e.	e.	PROPN
ejpam-3715	341	6	estrada	estrada	PROPN
ejpam-3715	341	7	.	.	PUNCT
ejpam-3715	342	1	atom	atom	NOUN
ejpam-3715	342	2	-	-	PUNCT
ejpam-3715	342	3	bond	bond	NOUN
ejpam-3715	342	4	connectivity	connectivity	NOUN
ejpam-3715	342	5	and	and	CCONJ
ejpam-3715	342	6	the	the	DET
ejpam-3715	342	7	energetic	energetic	ADJ
ejpam-3715	342	8	of	of	ADP
ejpam-3715	342	9	branched	branched	ADJ
ejpam-3715	342	10	alkanes	alkane	NOUN
ejpam-3715	342	11	.	.	PUNCT
ejpam-3715	343	1	chemical	chemical	PROPN
ejpam-3715	343	2	physics	physics	PROPN
ejpam-3715	343	3	letters	letter	NOUN
ejpam-3715	343	4	,	,	PUNCT
ejpam-3715	343	5	463:422–425	463:422–425	NUM
ejpam-3715	343	6	,	,	PUNCT
ejpam-3715	343	7	2008	2008	NUM
ejpam-3715	343	8	.	.	PUNCT
ejpam-3715	344	1	[	[	X
ejpam-3715	344	2	2	2	NUM
ejpam-3715	344	3	]	]	PUNCT
ejpam-3715	344	4	i.	i.	NOUN
ejpam-3715	344	5	gutman	gutman	PROPN
ejpam-3715	344	6	and	and	CCONJ
ejpam-3715	344	7	n.	n.	PROPN
ejpam-3715	344	8	trinajstic	trinajstic	PROPN
ejpam-3715	344	9	.	.	PUNCT
ejpam-3715	345	1	graph	graph	NOUN
ejpam-3715	345	2	theory	theory	NOUN
ejpam-3715	345	3	and	and	CCONJ
ejpam-3715	345	4	molecular	molecular	ADJ
ejpam-3715	345	5	obitals	obital	NOUN
ejpam-3715	345	6	.	.	PUNCT
ejpam-3715	346	1	total	total	ADJ
ejpam-3715	346	2	π	π	ADJ
ejpam-3715	346	3	-	-	PUNCT
ejpam-3715	346	4	electron	electron	NOUN
ejpam-3715	346	5	energy	energy	NOUN
ejpam-3715	346	6	of	of	ADP
ejpam-3715	346	7	alternate	alternate	ADJ
ejpam-3715	346	8	hydrocarbons	hydrocarbon	NOUN
ejpam-3715	346	9	.	.	PUNCT
ejpam-3715	347	1	chemical	chemical	PROPN
ejpam-3715	347	2	physics	physics	PROPN
ejpam-3715	347	3	letters	letter	NOUN
ejpam-3715	347	4	,	,	PUNCT
ejpam-3715	347	5	17:535–538	17:535–538	NUM
ejpam-3715	347	6	,	,	PUNCT
ejpam-3715	347	7	1972	1972	NUM
ejpam-3715	347	8	.	.	PUNCT
ejpam-3715	348	1	references	reference	NOUN
ejpam-3715	348	2	350	350	NUM
ejpam-3715	348	3	[	[	X
ejpam-3715	348	4	3	3	NUM
ejpam-3715	348	5	]	]	PUNCT
ejpam-3715	348	6	winer	winer	NOUN
ejpam-3715	348	7	.	.	PUNCT
ejpam-3715	349	1	h.	h.	PROPN
ejpam-3715	349	2	structural	structural	ADJ
ejpam-3715	349	3	determination	determination	NOUN
ejpam-3715	349	4	of	of	ADP
ejpam-3715	349	5	paraffin	paraffin	NOUN
ejpam-3715	349	6	boiling	boiling	NOUN
ejpam-3715	349	7	points	point	NOUN
ejpam-3715	349	8	.	.	PUNCT
ejpam-3715	350	1	journal	journal	PROPN
ejpam-3715	350	2	of	of	ADP
ejpam-3715	350	3	american	american	PROPN
ejpam-3715	350	4	chemical	chemical	PROPN
ejpam-3715	350	5	society	society	PROPN
ejpam-3715	350	6	,	,	PUNCT
ejpam-3715	350	7	69:17–20	69:17–20	NUM
ejpam-3715	350	8	,	,	PUNCT
ejpam-3715	350	9	1947	1947	NUM
ejpam-3715	350	10	.	.	PUNCT
ejpam-3715	351	1	[	[	X
ejpam-3715	351	2	4	4	X
ejpam-3715	351	3	]	]	X
ejpam-3715	351	4	v.	v.	ADP
ejpam-3715	351	5	lokesha	lokesha	PROPN
ejpam-3715	351	6	,	,	PUNCT
ejpam-3715	351	7	m.	m.	PROPN
ejpam-3715	351	8	manjunath	manjunath	PROPN
ejpam-3715	351	9	,	,	PUNCT
ejpam-3715	351	10	b.	b.	PROPN
ejpam-3715	351	11	chaluvaraju	chaluvaraju	PROPN
ejpam-3715	351	12	,	,	PUNCT
ejpam-3715	351	13	k.	k.	PROPN
ejpam-3715	351	14	m.	m.	PROPN
ejpam-3715	351	15	devendraiah	devendraiah	PROPN
ejpam-3715	351	16	,	,	PUNCT
ejpam-3715	351	17	i.	i.	PROPN
ejpam-3715	351	18	n.	n.	PROPN
ejpam-3715	351	19	cangul	cangul	PROPN
ejpam-3715	351	20	,	,	PUNCT
ejpam-3715	351	21	and	and	CCONJ
ejpam-3715	351	22	a.	a.	PROPN
ejpam-3715	351	23	s.	s.	PROPN
ejpam-3715	351	24	cevik	cevik	PROPN
ejpam-3715	351	25	.	.	PUNCT
ejpam-3715	352	1	computation	computation	NOUN
ejpam-3715	352	2	of	of	ADP
ejpam-3715	352	3	adriatic	adriatic	ADJ
ejpam-3715	352	4	indices	index	NOUN
ejpam-3715	352	5	of	of	ADP
ejpam-3715	352	6	certain	certain	ADJ
ejpam-3715	352	7	operators	operator	NOUN
ejpam-3715	352	8	of	of	ADP
ejpam-3715	352	9	regular	regular	ADJ
ejpam-3715	352	10	and	and	CCONJ
ejpam-3715	352	11	complete	complete	ADJ
ejpam-3715	352	12	bipartite	bipartite	NOUN
ejpam-3715	352	13	graphs	graph	NOUN
ejpam-3715	352	14	.	.	PUNCT
ejpam-3715	353	1	advanced	advanced	ADJ
ejpam-3715	353	2	studies	study	NOUN
ejpam-3715	353	3	in	in	ADP
ejpam-3715	353	4	contemporary	contemporary	ADJ
ejpam-3715	353	5	mathematics	mathematic	NOUN
ejpam-3715	353	6	,	,	PUNCT
ejpam-3715	353	7	28(2):231	28(2):231	NUM
ejpam-3715	353	8	–	–	PUNCT
ejpam-3715	353	9	244	244	NUM
ejpam-3715	353	10	,	,	PUNCT
ejpam-3715	353	11	2018	2018	NUM
ejpam-3715	353	12	.	.	PUNCT
ejpam-3715	354	1	[	[	X
ejpam-3715	354	2	5	5	X
ejpam-3715	354	3	]	]	PUNCT
ejpam-3715	354	4	v.	v.	ADP
ejpam-3715	354	5	lokesha	lokesha	PROPN
ejpam-3715	354	6	,	,	PUNCT
ejpam-3715	354	7	b.	b.	PROPN
ejpam-3715	354	8	shwetha	shwetha	PROPN
ejpam-3715	354	9	shetty	shetty	PROPN
ejpam-3715	354	10	,	,	PUNCT
ejpam-3715	354	11	p.	p.	PROPN
ejpam-3715	354	12	s.	s.	PROPN
ejpam-3715	354	13	ranjini	ranjini	PROPN
ejpam-3715	354	14	,	,	PUNCT
ejpam-3715	354	15	i.	i.	PROPN
ejpam-3715	354	16	n.	n.	PROPN
ejpam-3715	354	17	cangul	cangul	PROPN
ejpam-3715	354	18	,	,	PUNCT
ejpam-3715	354	19	and	and	CCONJ
ejpam-3715	354	20	a.	a.	PROPN
ejpam-3715	354	21	s.	s.	PROPN
ejpam-3715	354	22	cevik	cevik	PROPN
ejpam-3715	354	23	.	.	PUNCT
ejpam-3715	355	1	new	new	ADJ
ejpam-3715	355	2	bounds	bound	NOUN
ejpam-3715	355	3	for	for	ADP
ejpam-3715	355	4	randic	randic	ADJ
ejpam-3715	355	5	and	and	CCONJ
ejpam-3715	355	6	ga	ga	NOUN
ejpam-3715	355	7	indices	index	NOUN
ejpam-3715	355	8	.	.	PUNCT
ejpam-3715	356	1	journal	journal	NOUN
ejpam-3715	356	2	of	of	ADP
ejpam-3715	356	3	inequalities	inequality	NOUN
ejpam-3715	356	4	and	and	CCONJ
ejpam-3715	356	5	applications	application	NOUN
ejpam-3715	356	6	,	,	PUNCT
ejpam-3715	356	7	1(180):01–07	1(180):01–07	NUM
ejpam-3715	356	8	,	,	PUNCT
ejpam-3715	356	9	2013	2013	NUM
ejpam-3715	356	10	.	.	PUNCT
ejpam-3715	357	1	[	[	X
ejpam-3715	357	2	6	6	NUM
ejpam-3715	357	3	]	]	PUNCT
ejpam-3715	357	4	m.	m.	NOUN
ejpam-3715	357	5	manjunath	manjunath	PROPN
ejpam-3715	357	6	and	and	CCONJ
ejpam-3715	357	7	v.	v.	ADP
ejpam-3715	357	8	lokesha	lokesha	PROPN
ejpam-3715	357	9	.	.	PUNCT
ejpam-3715	358	1	s	s	X
ejpam-3715	358	2	-	-	PUNCT
ejpam-3715	358	3	corona	corona	NOUN
ejpam-3715	358	4	operations	operation	NOUN
ejpam-3715	358	5	of	of	ADP
ejpam-3715	358	6	standard	standard	ADJ
ejpam-3715	358	7	graphs	graph	NOUN
ejpam-3715	358	8	in	in	ADP
ejpam-3715	358	9	terms	term	NOUN
ejpam-3715	358	10	of	of	ADP
ejpam-3715	358	11	degree	degree	NOUN
ejpam-3715	358	12	sequences	sequence	NOUN
ejpam-3715	358	13	.	.	PUNCT
ejpam-3715	359	1	proceedings	proceeding	NOUN
ejpam-3715	359	2	of	of	ADP
ejpam-3715	359	3	the	the	DET
ejpam-3715	359	4	jangjeon	jangjeon	PROPN
ejpam-3715	359	5	mathematical	mathematical	PROPN
ejpam-3715	359	6	society	society	NOUN
ejpam-3715	359	7	,	,	PUNCT
ejpam-3715	359	8	23(2):149–157	23(2):149–157	NUM
ejpam-3715	359	9	,	,	PUNCT
ejpam-3715	359	10	2020	2020	NUM
ejpam-3715	359	11	.	.	PUNCT
ejpam-3715	360	1	[	[	X
ejpam-3715	360	2	7	7	NUM
ejpam-3715	360	3	]	]	PUNCT
ejpam-3715	360	4	a.	a.	NOUN
ejpam-3715	360	5	milicevic	milicevic	PROPN
ejpam-3715	360	6	,	,	PUNCT
ejpam-3715	360	7	s.	s.	PROPN
ejpam-3715	360	8	nikolic	nikolic	PROPN
ejpam-3715	360	9	,	,	PUNCT
ejpam-3715	360	10	and	and	CCONJ
ejpam-3715	360	11	n.	n.	PROPN
ejpam-3715	360	12	trinajstic	trinajstic	PROPN
ejpam-3715	360	13	.	.	PUNCT
ejpam-3715	361	1	on	on	ADP
ejpam-3715	361	2	reformulated	reformulate	VERB
ejpam-3715	361	3	zagreb	zagreb	PROPN
ejpam-3715	361	4	indices	index	NOUN
ejpam-3715	361	5	.	.	PUNCT
ejpam-3715	362	1	molecular	molecular	ADJ
ejpam-3715	362	2	divers	diver	NOUN
ejpam-3715	362	3	,	,	PUNCT
ejpam-3715	362	4	8:393–399	8:393–399	NUM
ejpam-3715	362	5	,	,	PUNCT
ejpam-3715	362	6	2004	2004	NUM
ejpam-3715	362	7	.	.	PUNCT
ejpam-3715	363	1	[	[	X
ejpam-3715	363	2	8	8	NUM
ejpam-3715	363	3	]	]	X
ejpam-3715	363	4	d.	d.	PROPN
ejpam-3715	363	5	vukicevic	vukicevic	PROPN
ejpam-3715	363	6	.	.	PUNCT
ejpam-3715	364	1	bond	bond	NOUN
ejpam-3715	364	2	additive	additive	NOUN
ejpam-3715	364	3	modeling	model	VERB
ejpam-3715	364	4	2	2	NUM
ejpam-3715	364	5	.	.	PUNCT
ejpam-3715	364	6	mathematical	mathematical	ADJ
ejpam-3715	364	7	properties	property	NOUN
ejpam-3715	364	8	of	of	ADP
ejpam-3715	364	9	max	max	PROPN
ejpam-3715	364	10	-	-	PUNCT
ejpam-3715	364	11	min	min	PROPN
ejpam-3715	364	12	rodeg	rodeg	PROPN
ejpam-3715	364	13	index	index	NOUN
ejpam-3715	364	14	.	.	PUNCT
ejpam-3715	365	1	croatica	croatica	PROPN
ejpam-3715	365	2	chemical	chemical	PROPN
ejpam-3715	365	3	acta	acta	PROPN
ejpam-3715	365	4	,	,	PUNCT
ejpam-3715	365	5	83(3):261–273	83(3):261–273	PROPN
ejpam-3715	365	6	,	,	PUNCT
ejpam-3715	365	7	2010	2010	NUM
ejpam-3715	365	8	.	.	PUNCT
ejpam-3715	366	1	[	[	X
ejpam-3715	366	2	9	9	NUM
ejpam-3715	366	3	]	]	X
ejpam-3715	366	4	d.	d.	NOUN
ejpam-3715	366	5	vukicevic	vukicevic	PROPN
ejpam-3715	366	6	and	and	CCONJ
ejpam-3715	366	7	b.	b.	PROPN
ejpam-3715	366	8	furtula	furtula	PROPN
ejpam-3715	366	9	.	.	PUNCT
ejpam-3715	367	1	topological	topological	ADJ
ejpam-3715	367	2	index	index	NOUN
ejpam-3715	367	3	based	base	VERB
ejpam-3715	367	4	on	on	ADP
ejpam-3715	367	5	the	the	DET
ejpam-3715	367	6	ratios	ratio	NOUN
ejpam-3715	367	7	of	of	ADP
ejpam-3715	367	8	geometrical	geometrical	ADJ
ejpam-3715	367	9	and	and	CCONJ
ejpam-3715	367	10	arithmetical	arithmetical	ADJ
ejpam-3715	367	11	mean	mean	NOUN
ejpam-3715	367	12	of	of	ADP
ejpam-3715	367	13	end	end	NOUN
ejpam-3715	367	14	-	-	PUNCT
ejpam-3715	367	15	vertex	vertex	NOUN
ejpam-3715	367	16	degrees	degree	NOUN
ejpam-3715	367	17	of	of	ADP
ejpam-3715	367	18	edges	edge	NOUN
ejpam-3715	367	19	of	of	ADP
ejpam-3715	367	20	edges	edge	NOUN
ejpam-3715	367	21	.	.	PUNCT
ejpam-3715	368	1	journal	journal	PROPN
ejpam-3715	368	2	of	of	ADP
ejpam-3715	368	3	mathematical	mathematical	ADJ
ejpam-3715	368	4	chemistry	chemistry	NOUN
ejpam-3715	368	5	,	,	PUNCT
ejpam-3715	368	6	26:1369–1376	26:1369–1376	NUM
ejpam-3715	368	7	,	,	PUNCT
ejpam-3715	368	8	2009	2009	NUM
ejpam-3715	368	9	.	.	PUNCT
ejpam-3715	369	1	[	[	X
ejpam-3715	369	2	10	10	NUM
ejpam-3715	369	3	]	]	X
ejpam-3715	369	4	d.	d.	NOUN
ejpam-3715	369	5	vukicevic	vukicevic	PROPN
ejpam-3715	369	6	and	and	CCONJ
ejpam-3715	369	7	m.	m.	NOUN
ejpam-3715	369	8	gasperov	gasperov	PROPN
ejpam-3715	369	9	.	.	PUNCT
ejpam-3715	370	1	bond	bond	NOUN
ejpam-3715	370	2	additive	additive	VERB
ejpam-3715	370	3	modeling	model	VERB
ejpam-3715	370	4	1	1	NUM
ejpam-3715	370	5	.	.	PUNCT
ejpam-3715	371	1	adriatic	adriatic	ADJ
ejpam-3715	371	2	indices	index	NOUN
ejpam-3715	371	3	.	.	PUNCT
ejpam-3715	372	1	croatica	croatica	PROPN
ejpam-3715	372	2	chemical	chemical	PROPN
ejpam-3715	372	3	acta	acta	PROPN
ejpam-3715	372	4	,	,	PUNCT
ejpam-3715	372	5	pages	page	NOUN
ejpam-3715	372	6	243–260	243–260	NUM
ejpam-3715	372	7	,	,	PUNCT
ejpam-3715	372	8	2010	2010	NUM
ejpam-3715	372	9	.	.	PUNCT