id	sid	tid	token	lemma	pos
cana-3480	1	1	communications	communication	NOUN
cana-3480	1	2	on	on	ADP
cana-3480	1	3	applied	apply	VERB
cana-3480	1	4	nonlinear	nonlinear	ADJ
cana-3480	1	5	analysis	analysis	NOUN
cana-3480	1	6	issn	issn	NOUN
cana-3480	1	7	:	:	PUNCT
cana-3480	1	8	1074	1074	NUM
cana-3480	1	9	-	-	PUNCT
cana-3480	1	10	133x	133x	NUM
cana-3480	1	11	vol	vol	NOUN
cana-3480	1	12	32	32	NUM
cana-3480	1	13	no	no	NOUN
cana-3480	1	14	.	.	PUNCT
cana-3480	2	1	7s	7	NOUN
cana-3480	2	2	(	(	PUNCT
cana-3480	2	3	2025	2025	NUM
cana-3480	2	4	)	)	PUNCT
cana-3480	2	5	744	744	NUM
cana-3480	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3480	2	7	graph	graph	NOUN
cana-3480	2	8	based	base	VERB
cana-3480	2	9	innovations	innovation	NOUN
cana-3480	2	10	in	in	ADP
cana-3480	2	11	cryptographic	cryptographic	ADJ
cana-3480	2	12	security	security	NOUN
cana-3480	2	13	slashi	slashi	PROPN
cana-3480	2	14	leel	leel	PROPN
cana-3480	2	15	1	1	NUM
cana-3480	2	16	,	,	PUNCT
cana-3480	2	17	dr	dr	PROPN
cana-3480	2	18	.	.	PROPN
cana-3480	2	19	sweta	sweta	PROPN
cana-3480	2	20	srivastav	srivastav	PROPN
cana-3480	2	21	2	2	NUM
cana-3480	2	22	and	and	CCONJ
cana-3480	2	23	dr	dr	PROPN
cana-3480	2	24	.	.	PROPN
cana-3480	2	25	sangeeta	sangeeta	PROPN
cana-3480	2	26	gupta	gupta	PROPN
cana-3480	2	27	3	3	NUM
cana-3480	2	28	1,2,3	1,2,3	NUM
cana-3480	2	29	department	department	NOUN
cana-3480	2	30	of	of	ADP
cana-3480	2	31	mathematics	mathematics	PROPN
cana-3480	2	32	,	,	PUNCT
cana-3480	2	33	sharda	sharda	PROPN
cana-3480	2	34	university	university	PROPN
cana-3480	2	35	,	,	PUNCT
cana-3480	2	36	greater	great	ADJ
cana-3480	2	37	noida	noida	PROPN
cana-3480	2	38	,	,	PUNCT
cana-3480	2	39	uttar	uttar	PROPN
cana-3480	2	40	pradesh	pradesh	PROPN
cana-3480	2	41	201310	201310	NUM
cana-3480	2	42	,	,	PUNCT
cana-3480	2	43	india	india	PROPN
cana-3480	2	44	1	1	NUM
cana-3480	2	45	2022301198.slashi@dr.sharda.ac.in	2022301198.slashi@dr.sharda.ac.in	NUM
cana-3480	2	46	2	2	NUM
cana-3480	2	47	sweta.srivastav@sharda.ac.in	sweta.srivastav@sharda.ac.in	NUM
cana-3480	2	48	(	(	PUNCT
cana-3480	2	49	corresponding	corresponding	ADJ
cana-3480	2	50	author	author	NOUN
cana-3480	2	51	)	)	PUNCT
cana-3480	2	52	3	3	NUM
cana-3480	2	53	sangeeta.gupta@sharda.ac.in	sangeeta.gupta@sharda.ac.in	NUM
cana-3480	2	54	article	article	NOUN
cana-3480	2	55	history	history	NOUN
cana-3480	2	56	:	:	PUNCT
cana-3480	2	57	received	receive	VERB
cana-3480	2	58	:	:	PUNCT
cana-3480	2	59	27	27	NUM
cana-3480	2	60	-	-	SYM
cana-3480	2	61	10	10	NUM
cana-3480	2	62	-	-	PUNCT
cana-3480	2	63	2024	2024	NUM
cana-3480	2	64	revised:11	revised:11	VERB
cana-3480	2	65	-	-	SYM
cana-3480	2	66	11	11	NUM
cana-3480	2	67	-	-	PUNCT
cana-3480	2	68	2024	2024	NUM
cana-3480	2	69	accepted:19	accepted:19	VERB
cana-3480	2	70	-	-	PUNCT
cana-3480	2	71	12	12	NUM
cana-3480	2	72	-	-	PUNCT
cana-3480	2	73	2024	2024	NUM
cana-3480	2	74	abstract	abstract	NOUN
cana-3480	2	75	:	:	PUNCT
cana-3480	2	76	cryptography	cryptography	NOUN
cana-3480	2	77	focuses	focus	VERB
cana-3480	2	78	on	on	ADP
cana-3480	2	79	securely	securely	ADV
cana-3480	2	80	transmitting	transmit	VERB
cana-3480	2	81	messages	message	NOUN
cana-3480	2	82	from	from	ADP
cana-3480	2	83	one	one	NUM
cana-3480	2	84	party	party	NOUN
cana-3480	2	85	to	to	ADP
cana-3480	2	86	another	another	PRON
cana-3480	2	87	,	,	PUNCT
cana-3480	2	88	ensuring	ensure	VERB
cana-3480	2	89	that	that	SCONJ
cana-3480	2	90	an	an	DET
cana-3480	2	91	unauthorized	unauthorized	ADJ
cana-3480	2	92	third	third	ADJ
cana-3480	2	93	party	party	NOUN
cana-3480	2	94	can	can	AUX
cana-3480	2	95	not	not	PART
cana-3480	2	96	comprehend	comprehend	VERB
cana-3480	2	97	them	they	PRON
cana-3480	2	98	.	.	PUNCT
cana-3480	3	1	to	to	PART
cana-3480	3	2	achieve	achieve	VERB
cana-3480	3	3	this	this	PRON
cana-3480	3	4	,	,	PUNCT
cana-3480	3	5	various	various	ADJ
cana-3480	3	6	mathematical	mathematical	ADJ
cana-3480	3	7	concepts	concept	NOUN
cana-3480	3	8	,	,	PUNCT
cana-3480	3	9	particularly	particularly	ADV
cana-3480	3	10	from	from	ADP
cana-3480	3	11	graph	graph	NOUN
cana-3480	3	12	theory	theory	NOUN
cana-3480	3	13	,	,	PUNCT
cana-3480	3	14	have	have	AUX
cana-3480	3	15	been	be	AUX
cana-3480	3	16	incorporated	incorporate	VERB
cana-3480	3	17	into	into	ADP
cana-3480	3	18	cryptographic	cryptographic	ADJ
cana-3480	3	19	techniques	technique	NOUN
cana-3480	3	20	for	for	ADP
cana-3480	3	21	more	more	ADV
cana-3480	3	22	secure	secure	ADJ
cana-3480	3	23	data	data	NOUN
cana-3480	3	24	transmission	transmission	NOUN
cana-3480	3	25	.	.	PUNCT
cana-3480	4	1	the	the	DET
cana-3480	4	2	process	process	NOUN
cana-3480	4	3	of	of	ADP
cana-3480	4	4	converting	convert	VERB
cana-3480	4	5	the	the	DET
cana-3480	4	6	original	original	ADJ
cana-3480	4	7	plain	plain	ADJ
cana-3480	4	8	-	-	PUNCT
cana-3480	4	9	text	text	NOUN
cana-3480	4	10	message	message	NOUN
cana-3480	4	11	into	into	ADP
cana-3480	4	12	an	an	DET
cana-3480	4	13	unreadable	unreadable	ADJ
cana-3480	4	14	cipher	cipher	NOUN
cana-3480	4	15	-	-	PUNCT
cana-3480	4	16	text	text	NOUN
cana-3480	4	17	is	be	AUX
cana-3480	4	18	known	know	VERB
cana-3480	4	19	as	as	ADP
cana-3480	4	20	encryption	encryption	NOUN
cana-3480	4	21	,	,	PUNCT
cana-3480	4	22	while	while	SCONJ
cana-3480	4	23	converting	convert	VERB
cana-3480	4	24	the	the	DET
cana-3480	4	25	cipher	cipher	ADJ
cana-3480	4	26	-	-	PUNCT
cana-3480	4	27	text	text	NOUN
cana-3480	4	28	back	back	ADV
cana-3480	4	29	to	to	ADP
cana-3480	4	30	the	the	DET
cana-3480	4	31	original	original	ADJ
cana-3480	4	32	plain	plain	ADJ
cana-3480	4	33	-	-	PUNCT
cana-3480	4	34	text	text	NOUN
cana-3480	4	35	is	be	AUX
cana-3480	4	36	referred	refer	VERB
cana-3480	4	37	to	to	ADP
cana-3480	4	38	as	as	ADP
cana-3480	4	39	decryption	decryption	NOUN
cana-3480	4	40	.	.	PUNCT
cana-3480	5	1	graph	graph	NOUN
cana-3480	5	2	theory	theory	NOUN
cana-3480	5	3	is	be	AUX
cana-3480	5	4	essential	essential	ADJ
cana-3480	5	5	in	in	ADP
cana-3480	5	6	numerous	numerous	ADJ
cana-3480	5	7	fields	field	NOUN
cana-3480	5	8	,	,	PUNCT
cana-3480	5	9	particularly	particularly	ADV
cana-3480	5	10	in	in	ADP
cana-3480	5	11	cryptography	cryptography	NOUN
cana-3480	5	12	,	,	PUNCT
cana-3480	5	13	where	where	SCONJ
cana-3480	5	14	its	its	PRON
cana-3480	5	15	properties	property	NOUN
cana-3480	5	16	and	and	CCONJ
cana-3480	5	17	straightforward	straightforward	ADJ
cana-3480	5	18	matrix	matrix	NOUN
cana-3480	5	19	representation	representation	NOUN
cana-3480	5	20	in	in	ADP
cana-3480	5	21	computers	computer	NOUN
cana-3480	5	22	make	make	VERB
cana-3480	5	23	it	it	PRON
cana-3480	5	24	highly	highly	ADV
cana-3480	5	25	valuable	valuable	ADJ
cana-3480	5	26	.	.	PUNCT
cana-3480	6	1	in	in	ADP
cana-3480	6	2	this	this	DET
cana-3480	6	3	paper	paper	NOUN
cana-3480	6	4	the	the	DET
cana-3480	6	5	encryption	encryption	NOUN
cana-3480	6	6	and	and	CCONJ
cana-3480	6	7	decryption	decryption	NOUN
cana-3480	6	8	process	process	NOUN
cana-3480	6	9	has	have	AUX
cana-3480	6	10	been	be	AUX
cana-3480	6	11	made	make	VERB
cana-3480	6	12	more	more	ADV
cana-3480	6	13	safer	safe	ADJ
cana-3480	6	14	by	by	ADP
cana-3480	6	15	using	use	VERB
cana-3480	6	16	adjacent	adjacent	ADJ
cana-3480	6	17	matrix	matrix	NOUN
cana-3480	6	18	of	of	ADP
cana-3480	6	19	complement	complement	NOUN
cana-3480	6	20	graph	graph	NOUN
cana-3480	6	21	.	.	PUNCT
cana-3480	7	1	introduction	introduction	NOUN
cana-3480	7	2	:	:	PUNCT
cana-3480	7	3	in	in	ADP
cana-3480	7	4	today	today	NOUN
cana-3480	7	5	's	's	PART
cana-3480	7	6	digital	digital	ADJ
cana-3480	7	7	communication	communication	NOUN
cana-3480	7	8	landscape	landscape	NOUN
cana-3480	7	9	,	,	PUNCT
cana-3480	7	10	ensuring	ensure	VERB
cana-3480	7	11	secure	secure	ADJ
cana-3480	7	12	data	datum	NOUN
cana-3480	7	13	transmission	transmission	NOUN
cana-3480	7	14	is	be	AUX
cana-3480	7	15	essential	essential	ADJ
cana-3480	7	16	,	,	PUNCT
cana-3480	7	17	and	and	CCONJ
cana-3480	7	18	cryptography	cryptography	NOUN
cana-3480	7	19	plays	play	VERB
cana-3480	7	20	a	a	DET
cana-3480	7	21	vital	vital	ADJ
cana-3480	7	22	role	role	NOUN
cana-3480	7	23	in	in	ADP
cana-3480	7	24	safeguarding	safeguard	VERB
cana-3480	7	25	sensitive	sensitive	ADJ
cana-3480	7	26	information	information	NOUN
cana-3480	7	27	.	.	PUNCT
cana-3480	8	1	graph	graph	NOUN
cana-3480	8	2	theory	theory	NOUN
cana-3480	8	3	,	,	PUNCT
cana-3480	8	4	with	with	ADP
cana-3480	8	5	its	its	PRON
cana-3480	8	6	intricate	intricate	ADJ
cana-3480	8	7	structures	structure	NOUN
cana-3480	8	8	and	and	CCONJ
cana-3480	8	9	concepts	concept	NOUN
cana-3480	8	10	,	,	PUNCT
cana-3480	8	11	offers	offer	VERB
cana-3480	8	12	innovative	innovative	ADJ
cana-3480	8	13	frameworks	framework	NOUN
cana-3480	8	14	for	for	ADP
cana-3480	8	15	creating	create	VERB
cana-3480	8	16	robust	robust	ADJ
cana-3480	8	17	encryption	encryption	NOUN
cana-3480	8	18	methods	method	NOUN
cana-3480	8	19	.	.	PUNCT
cana-3480	9	1	this	this	DET
cana-3480	9	2	research	research	NOUN
cana-3480	9	3	explores	explore	NOUN
cana-3480	9	4	using	use	VERB
cana-3480	9	5	adjacency	adjacency	NOUN
cana-3480	9	6	matrices	matrix	NOUN
cana-3480	9	7	,	,	PUNCT
cana-3480	9	8	graph	graph	NOUN
cana-3480	9	9	complements	complement	NOUN
cana-3480	9	10	,	,	PUNCT
cana-3480	9	11	and	and	CCONJ
cana-3480	9	12	disjoint	disjoint	NOUN
cana-3480	9	13	graphs	graph	NOUN
cana-3480	9	14	to	to	PART
cana-3480	9	15	develop	develop	VERB
cana-3480	9	16	secure	secure	ADJ
cana-3480	9	17	cryptographic	cryptographic	ADJ
cana-3480	9	18	systems	system	NOUN
cana-3480	9	19	.	.	PUNCT
cana-3480	10	1	by	by	ADP
cana-3480	10	2	leveraging	leverage	VERB
cana-3480	10	3	graph	graph	NOUN
cana-3480	10	4	complements	complement	NOUN
cana-3480	10	5	and	and	CCONJ
cana-3480	10	6	structural	structural	ADJ
cana-3480	10	7	complexities	complexity	NOUN
cana-3480	10	8	,	,	PUNCT
cana-3480	10	9	these	these	DET
cana-3480	10	10	methods	method	NOUN
cana-3480	10	11	obscure	obscure	VERB
cana-3480	10	12	messages	message	NOUN
cana-3480	10	13	,	,	PUNCT
cana-3480	10	14	enhancing	enhance	VERB
cana-3480	10	15	resistance	resistance	NOUN
cana-3480	10	16	to	to	ADP
cana-3480	10	17	cryptographic	cryptographic	ADJ
cana-3480	10	18	attacks	attack	NOUN
cana-3480	10	19	.	.	PUNCT
cana-3480	11	1	applications	application	NOUN
cana-3480	11	2	range	range	VERB
cana-3480	11	3	from	from	ADP
cana-3480	11	4	securing	secure	VERB
cana-3480	11	5	communication	communication	NOUN
cana-3480	11	6	channels	channel	NOUN
cana-3480	11	7	to	to	ADP
cana-3480	11	8	enhancing	enhance	VERB
cana-3480	11	9	blockchain	blockchain	PROPN
cana-3480	11	10	privacy	privacy	PROPN
cana-3480	11	11	.	.	PUNCT
cana-3480	12	1	building	build	VERB
cana-3480	12	2	on	on	ADP
cana-3480	12	3	previous	previous	ADJ
cana-3480	12	4	studies	study	NOUN
cana-3480	12	5	,	,	PUNCT
cana-3480	12	6	this	this	DET
cana-3480	12	7	work	work	NOUN
cana-3480	12	8	demonstrates	demonstrate	VERB
cana-3480	12	9	the	the	DET
cana-3480	12	10	potential	potential	NOUN
cana-3480	12	11	of	of	ADP
cana-3480	12	12	graphtheory	graphtheory	NOUN
cana-3480	12	13	-	-	PUNCT
cana-3480	12	14	based	base	VERB
cana-3480	12	15	cryptography	cryptography	NOUN
cana-3480	12	16	in	in	ADP
cana-3480	12	17	addressing	address	VERB
cana-3480	12	18	modern	modern	ADJ
cana-3480	12	19	security	security	NOUN
cana-3480	12	20	challenges	challenge	NOUN
cana-3480	12	21	effectively	effectively	ADV
cana-3480	12	22	.	.	PUNCT
cana-3480	13	1	objectives	objective	NOUN
cana-3480	13	2	:	:	PUNCT
cana-3480	13	3	this	this	DET
cana-3480	13	4	research	research	NOUN
cana-3480	13	5	aims	aim	VERB
cana-3480	13	6	to	to	PART
cana-3480	13	7	develop	develop	VERB
cana-3480	13	8	cryptographic	cryptographic	ADJ
cana-3480	13	9	techniques	technique	NOUN
cana-3480	13	10	using	use	VERB
cana-3480	13	11	graph	graph	NOUN
cana-3480	13	12	theory	theory	NOUN
cana-3480	13	13	concepts	concept	NOUN
cana-3480	13	14	like	like	ADP
cana-3480	13	15	adjacency	adjacency	NOUN
cana-3480	13	16	matrices	matrix	NOUN
cana-3480	13	17	and	and	CCONJ
cana-3480	13	18	graph	graph	NOUN
cana-3480	13	19	complements	complement	NOUN
cana-3480	13	20	to	to	PART
cana-3480	13	21	enhance	enhance	VERB
cana-3480	13	22	encryption	encryption	NOUN
cana-3480	13	23	security	security	NOUN
cana-3480	13	24	and	and	CCONJ
cana-3480	13	25	complexity	complexity	NOUN
cana-3480	13	26	,	,	PUNCT
cana-3480	13	27	creating	create	VERB
cana-3480	13	28	systems	system	NOUN
cana-3480	13	29	resistant	resistant	ADJ
cana-3480	13	30	to	to	ADP
cana-3480	13	31	attacks	attack	NOUN
cana-3480	13	32	with	with	ADP
cana-3480	13	33	applications	application	NOUN
cana-3480	13	34	in	in	ADP
cana-3480	13	35	secure	secure	ADJ
cana-3480	13	36	communication	communication	NOUN
cana-3480	13	37	,	,	PUNCT
cana-3480	13	38	data	data	NOUN
cana-3480	13	39	protection	protection	NOUN
cana-3480	13	40	,	,	PUNCT
cana-3480	13	41	and	and	CCONJ
cana-3480	13	42	blockchain	blockchain	PROPN
cana-3480	13	43	technology	technology	PROPN
cana-3480	13	44	.	.	PUNCT
cana-3480	14	1	methods	method	NOUN
cana-3480	14	2	:	:	PUNCT
cana-3480	14	3	this	this	DET
cana-3480	14	4	study	study	NOUN
cana-3480	14	5	utilizes	utilize	VERB
cana-3480	14	6	graph	graph	NOUN
cana-3480	14	7	theory	theory	NOUN
cana-3480	14	8	to	to	PART
cana-3480	14	9	develop	develop	VERB
cana-3480	14	10	cryptographic	cryptographic	ADJ
cana-3480	14	11	techniques	technique	NOUN
cana-3480	14	12	by	by	ADP
cana-3480	14	13	encoding	encode	VERB
cana-3480	14	14	messages	message	NOUN
cana-3480	14	15	using	use	VERB
cana-3480	14	16	graph	graph	NOUN
cana-3480	14	17	complements	complement	NOUN
cana-3480	14	18	,	,	PUNCT
cana-3480	14	19	adjacency	adjacency	NOUN
cana-3480	14	20	matrices	matrix	NOUN
cana-3480	14	21	,	,	PUNCT
cana-3480	14	22	and	and	CCONJ
cana-3480	14	23	adjoint	adjoint	NOUN
cana-3480	14	24	matrices	matrix	NOUN
cana-3480	14	25	.	.	PUNCT
cana-3480	15	1	single	single	ADJ
cana-3480	15	2	words	word	NOUN
cana-3480	15	3	are	be	AUX
cana-3480	15	4	represented	represent	VERB
cana-3480	15	5	as	as	ADP
cana-3480	15	6	graph	graph	NOUN
cana-3480	15	7	complements	complement	NOUN
cana-3480	15	8	,	,	PUNCT
cana-3480	15	9	while	while	SCONJ
cana-3480	15	10	multi	multi	ADJ
cana-3480	15	11	-	-	ADJ
cana-3480	15	12	word	word	ADJ
cana-3480	15	13	messages	message	NOUN
cana-3480	15	14	are	be	AUX
cana-3480	15	15	encoded	encode	VERB
cana-3480	15	16	using	use	VERB
cana-3480	15	17	disjoint	disjoint	NOUN
cana-3480	15	18	graphs	graph	NOUN
cana-3480	15	19	for	for	ADP
cana-3480	15	20	each	each	DET
cana-3480	15	21	word	word	NOUN
cana-3480	15	22	.	.	PUNCT
cana-3480	16	1	encryption	encryption	NOUN
cana-3480	16	2	and	and	CCONJ
cana-3480	16	3	decryption	decryption	NOUN
cana-3480	16	4	leverage	leverage	NOUN
cana-3480	16	5	matrix	matrix	NOUN
cana-3480	16	6	operations	operation	NOUN
cana-3480	16	7	,	,	PUNCT
cana-3480	16	8	enhancing	enhance	VERB
cana-3480	16	9	security	security	NOUN
cana-3480	16	10	through	through	ADP
cana-3480	16	11	graph	graph	NOUN
cana-3480	16	12	structure	structure	NOUN
cana-3480	16	13	complexity	complexity	NOUN
cana-3480	16	14	.	.	PUNCT
cana-3480	17	1	results	result	NOUN
cana-3480	17	2	:	:	PUNCT
cana-3480	17	3	the	the	DET
cana-3480	17	4	study	study	NOUN
cana-3480	17	5	demonstrates	demonstrate	VERB
cana-3480	17	6	that	that	SCONJ
cana-3480	17	7	incorporating	incorporate	VERB
cana-3480	17	8	graph	graph	NOUN
cana-3480	17	9	theory	theory	NOUN
cana-3480	17	10	,	,	PUNCT
cana-3480	17	11	specifically	specifically	ADV
cana-3480	17	12	adjacency	adjacency	VERB
cana-3480	17	13	matrices	matrix	NOUN
cana-3480	17	14	of	of	ADP
cana-3480	17	15	complement	complement	NOUN
cana-3480	17	16	graphs	graph	NOUN
cana-3480	17	17	,	,	PUNCT
cana-3480	17	18	enhances	enhance	VERB
cana-3480	17	19	the	the	DET
cana-3480	17	20	encryption	encryption	NOUN
cana-3480	17	21	and	and	CCONJ
cana-3480	17	22	decryption	decryption	NOUN
cana-3480	17	23	processes	process	NOUN
cana-3480	17	24	by	by	ADP
cana-3480	17	25	adding	add	VERB
cana-3480	17	26	layers	layer	NOUN
cana-3480	17	27	of	of	ADP
cana-3480	17	28	structural	structural	ADJ
cana-3480	17	29	complexity	complexity	NOUN
cana-3480	17	30	.	.	PUNCT
cana-3480	18	1	this	this	DET
cana-3480	18	2	approach	approach	NOUN
cana-3480	18	3	effectively	effectively	ADV
cana-3480	18	4	obscures	obscure	VERB
cana-3480	18	5	the	the	DET
cana-3480	18	6	original	original	ADJ
cana-3480	18	7	message	message	NOUN
cana-3480	18	8	,	,	PUNCT
cana-3480	18	9	making	make	VERB
cana-3480	18	10	it	it	PRON
cana-3480	18	11	more	more	ADV
cana-3480	18	12	resistant	resistant	ADJ
cana-3480	18	13	to	to	ADP
cana-3480	18	14	cryptographic	cryptographic	ADJ
cana-3480	18	15	attacks	attack	NOUN
cana-3480	18	16	.	.	PUNCT
cana-3480	19	1	the	the	DET
cana-3480	19	2	results	result	NOUN
cana-3480	19	3	highlight	highlight	VERB
cana-3480	19	4	the	the	DET
cana-3480	19	5	potential	potential	NOUN
cana-3480	19	6	of	of	ADP
cana-3480	19	7	graph	graph	NOUN
cana-3480	19	8	-	-	PUNCT
cana-3480	19	9	based	base	VERB
cana-3480	19	10	methods	method	NOUN
cana-3480	19	11	in	in	ADP
cana-3480	19	12	achieving	achieve	VERB
cana-3480	19	13	robust	robust	ADJ
cana-3480	19	14	and	and	CCONJ
cana-3480	19	15	secure	secure	ADJ
cana-3480	19	16	data	datum	NOUN
cana-3480	19	17	transmission	transmission	NOUN
cana-3480	19	18	.	.	PUNCT
cana-3480	20	1	conclusions	conclusion	NOUN
cana-3480	20	2	:	:	PUNCT
cana-3480	20	3	this	this	DET
cana-3480	20	4	study	study	NOUN
cana-3480	20	5	demonstrates	demonstrate	VERB
cana-3480	20	6	the	the	DET
cana-3480	20	7	potential	potential	NOUN
cana-3480	20	8	of	of	ADP
cana-3480	20	9	graph	graph	NOUN
cana-3480	20	10	theory	theory	NOUN
cana-3480	20	11	in	in	ADP
cana-3480	20	12	cryptography	cryptography	NOUN
cana-3480	20	13	,	,	PUNCT
cana-3480	20	14	using	use	VERB
cana-3480	20	15	graph	graph	NOUN
cana-3480	20	16	complements	complement	NOUN
cana-3480	20	17	,	,	PUNCT
cana-3480	20	18	adjacency	adjacency	NOUN
cana-3480	20	19	matrices	matrix	NOUN
cana-3480	20	20	,	,	PUNCT
cana-3480	20	21	and	and	CCONJ
cana-3480	20	22	disjoint	disjoint	NOUN
cana-3480	20	23	graphs	graph	NOUN
cana-3480	20	24	to	to	PART
cana-3480	20	25	enhance	enhance	VERB
cana-3480	20	26	communications	communication	NOUN
cana-3480	20	27	on	on	ADP
cana-3480	20	28	applied	apply	VERB
cana-3480	20	29	nonlinear	nonlinear	ADJ
cana-3480	20	30	analysis	analysis	NOUN
cana-3480	20	31	issn	issn	NOUN
cana-3480	20	32	:	:	PUNCT
cana-3480	20	33	1074	1074	NUM
cana-3480	20	34	-	-	PUNCT
cana-3480	20	35	133x	133x	NUM
cana-3480	20	36	vol	vol	NOUN
cana-3480	20	37	32	32	NUM
cana-3480	20	38	no	no	NOUN
cana-3480	20	39	.	.	PUNCT
cana-3480	21	1	7s	7	NOUN
cana-3480	21	2	(	(	PUNCT
cana-3480	21	3	2025	2025	NUM
cana-3480	21	4	)	)	PUNCT
cana-3480	21	5	745	745	NUM
cana-3480	21	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3480	21	7	encryption	encryption	NOUN
cana-3480	21	8	and	and	CCONJ
cana-3480	21	9	decryption	decryption	NOUN
cana-3480	21	10	.	.	PUNCT
cana-3480	22	1	these	these	DET
cana-3480	22	2	methods	method	NOUN
cana-3480	22	3	leverage	leverage	NOUN
cana-3480	22	4	graph	graph	NOUN
cana-3480	22	5	complexity	complexity	NOUN
cana-3480	22	6	to	to	PART
cana-3480	22	7	secure	secure	VERB
cana-3480	22	8	messages	message	NOUN
cana-3480	22	9	,	,	PUNCT
cana-3480	22	10	providing	provide	VERB
cana-3480	22	11	a	a	DET
cana-3480	22	12	robust	robust	ADJ
cana-3480	22	13	and	and	CCONJ
cana-3480	22	14	innovative	innovative	ADJ
cana-3480	22	15	approach	approach	NOUN
cana-3480	22	16	to	to	ADP
cana-3480	22	17	advanced	advanced	ADJ
cana-3480	22	18	cryptographic	cryptographic	ADJ
cana-3480	22	19	techniques	technique	NOUN
cana-3480	22	20	.	.	PUNCT
cana-3480	23	1	keywords	keyword	NOUN
cana-3480	23	2	:	:	PUNCT
cana-3480	23	3	graph	graph	NOUN
cana-3480	23	4	,	,	PUNCT
cana-3480	23	5	adjacency	adjacency	NOUN
cana-3480	23	6	matrix	matrix	NOUN
cana-3480	23	7	,	,	PUNCT
cana-3480	23	8	adjoint	adjoint	NOUN
cana-3480	23	9	of	of	ADP
cana-3480	23	10	a	a	DET
cana-3480	23	11	matrix	matrix	NOUN
cana-3480	23	12	,	,	PUNCT
cana-3480	23	13	cryptography	cryptography	NOUN
cana-3480	23	14	,	,	PUNCT
cana-3480	23	15	encryption	encryption	NOUN
cana-3480	23	16	,	,	PUNCT
cana-3480	23	17	decryption	decryption	NOUN
cana-3480	23	18	,	,	PUNCT
cana-3480	23	19	plain	plain	ADJ
cana-3480	23	20	text	text	NOUN
cana-3480	23	21	,	,	PUNCT
cana-3480	23	22	cipher	cipher	ADJ
cana-3480	23	23	text	text	NOUN
cana-3480	23	24	,	,	PUNCT
cana-3480	23	25	complement	complement	NOUN
cana-3480	23	26	of	of	ADP
cana-3480	23	27	graph	graph	NOUN
cana-3480	23	28	,	,	PUNCT
cana-3480	23	29	disjoint	disjoint	NOUN
cana-3480	23	30	matrix	matrix	NOUN
cana-3480	23	31	1	1	NUM
cana-3480	23	32	.	.	PUNCT
cana-3480	23	33	introduction	introduction	NOUN
cana-3480	23	34	in	in	ADP
cana-3480	23	35	the	the	DET
cana-3480	23	36	modern	modern	ADJ
cana-3480	23	37	era	era	NOUN
cana-3480	23	38	of	of	ADP
cana-3480	23	39	digital	digital	ADJ
cana-3480	23	40	communication	communication	NOUN
cana-3480	23	41	,	,	PUNCT
cana-3480	23	42	ensuring	ensure	VERB
cana-3480	23	43	the	the	DET
cana-3480	23	44	security	security	NOUN
cana-3480	23	45	of	of	ADP
cana-3480	23	46	data	datum	NOUN
cana-3480	23	47	transmission	transmission	NOUN
cana-3480	23	48	is	be	AUX
cana-3480	23	49	crucial	crucial	ADJ
cana-3480	23	50	.	.	PUNCT
cana-3480	24	1	cryptography	cryptography	NOUN
cana-3480	24	2	,	,	PUNCT
cana-3480	24	3	the	the	DET
cana-3480	24	4	art	art	NOUN
cana-3480	24	5	of	of	ADP
cana-3480	24	6	secure	secure	ADJ
cana-3480	24	7	communication	communication	NOUN
cana-3480	24	8	,	,	PUNCT
cana-3480	24	9	protects	protect	VERB
cana-3480	24	10	sensitive	sensitive	ADJ
cana-3480	24	11	information	information	NOUN
cana-3480	24	12	from	from	ADP
cana-3480	24	13	unauthorized	unauthorized	ADJ
cana-3480	24	14	access	access	NOUN
cana-3480	24	15	and	and	CCONJ
cana-3480	24	16	tampering	tampering	NOUN
cana-3480	24	17	.	.	PUNCT
cana-3480	25	1	this	this	DET
cana-3480	25	2	research	research	NOUN
cana-3480	25	3	explores	explore	NOUN
cana-3480	25	4	using	use	VERB
cana-3480	25	5	graph	graph	NOUN
cana-3480	25	6	theory	theory	NOUN
cana-3480	25	7	,	,	PUNCT
cana-3480	25	8	specifically	specifically	ADV
cana-3480	25	9	adjacency	adjacency	NOUN
cana-3480	25	10	matrices	matrix	NOUN
cana-3480	25	11	and	and	CCONJ
cana-3480	25	12	graph	graph	NOUN
cana-3480	25	13	complements	complement	NOUN
cana-3480	25	14	,	,	PUNCT
cana-3480	25	15	to	to	PART
cana-3480	25	16	develop	develop	VERB
cana-3480	25	17	robust	robust	ADJ
cana-3480	25	18	cryptographic	cryptographic	ADJ
cana-3480	25	19	techniques	technique	NOUN
cana-3480	25	20	.	.	PUNCT
cana-3480	26	1	graph	graph	NOUN
cana-3480	26	2	theory	theory	NOUN
cana-3480	26	3	,	,	PUNCT
cana-3480	26	4	with	with	ADP
cana-3480	26	5	its	its	PRON
cana-3480	26	6	rich	rich	ADJ
cana-3480	26	7	set	set	NOUN
cana-3480	26	8	of	of	ADP
cana-3480	26	9	concepts	concept	NOUN
cana-3480	26	10	,	,	PUNCT
cana-3480	26	11	provides	provide	VERB
cana-3480	26	12	a	a	DET
cana-3480	26	13	versatile	versatile	ADJ
cana-3480	26	14	framework	framework	NOUN
cana-3480	26	15	for	for	ADP
cana-3480	26	16	creating	create	VERB
cana-3480	26	17	complex	complex	ADJ
cana-3480	26	18	encryption	encryption	NOUN
cana-3480	26	19	schemes	scheme	NOUN
cana-3480	26	20	.	.	PUNCT
cana-3480	27	1	we	we	PRON
cana-3480	27	2	use	use	VERB
cana-3480	27	3	adjacency	adjacency	NOUN
cana-3480	27	4	matrices	matrix	NOUN
cana-3480	27	5	and	and	CCONJ
cana-3480	27	6	graph	graph	NOUN
cana-3480	27	7	complements	complement	NOUN
cana-3480	27	8	to	to	PART
cana-3480	27	9	generate	generate	VERB
cana-3480	27	10	intricate	intricate	ADJ
cana-3480	27	11	cipher	cipher	ADJ
cana-3480	27	12	systems	system	NOUN
cana-3480	27	13	resistant	resistant	ADJ
cana-3480	27	14	to	to	ADP
cana-3480	27	15	common	common	ADJ
cana-3480	27	16	cryptographic	cryptographic	ADJ
cana-3480	27	17	attacks	attack	NOUN
cana-3480	27	18	.	.	PUNCT
cana-3480	28	1	for	for	ADP
cana-3480	28	2	single	single	ADJ
cana-3480	28	3	-	-	PUNCT
cana-3480	28	4	word	word	NOUN
cana-3480	28	5	messages	message	NOUN
cana-3480	28	6	,	,	PUNCT
cana-3480	28	7	we	we	PRON
cana-3480	28	8	utilize	utilize	VERB
cana-3480	28	9	the	the	DET
cana-3480	28	10	complement	complement	NOUN
cana-3480	28	11	of	of	ADP
cana-3480	28	12	a	a	DET
cana-3480	28	13	graph	graph	NOUN
cana-3480	28	14	,	,	PUNCT
cana-3480	28	15	its	its	PRON
cana-3480	28	16	adjacency	adjacency	NOUN
cana-3480	28	17	matrix	matrix	NOUN
cana-3480	28	18	and	and	CCONJ
cana-3480	28	19	adjoint	adjoint	NOUN
cana-3480	28	20	of	of	ADP
cana-3480	28	21	a	a	DET
cana-3480	28	22	matrix	matrix	NOUN
cana-3480	28	23	for	for	ADP
cana-3480	28	24	both	both	DET
cana-3480	28	25	encryption	encryption	NOUN
cana-3480	28	26	and	and	CCONJ
cana-3480	28	27	decryption	decryption	NOUN
cana-3480	28	28	,	,	PUNCT
cana-3480	28	29	leveraging	leverage	VERB
cana-3480	28	30	the	the	DET
cana-3480	28	31	structural	structural	ADJ
cana-3480	28	32	complexity	complexity	NOUN
cana-3480	28	33	of	of	ADP
cana-3480	28	34	graph	graph	NOUN
cana-3480	28	35	complements	complement	NOUN
cana-3480	28	36	to	to	PART
cana-3480	28	37	obscure	obscure	VERB
cana-3480	28	38	the	the	DET
cana-3480	28	39	original	original	ADJ
cana-3480	28	40	message	message	NOUN
cana-3480	28	41	securely	securely	ADV
cana-3480	28	42	.	.	PUNCT
cana-3480	29	1	for	for	ADP
cana-3480	29	2	messages	message	NOUN
cana-3480	29	3	with	with	ADP
cana-3480	29	4	two	two	NUM
cana-3480	29	5	or	or	CCONJ
cana-3480	29	6	more	more	ADJ
cana-3480	29	7	words	word	NOUN
cana-3480	29	8	,	,	PUNCT
cana-3480	29	9	we	we	PRON
cana-3480	29	10	employ	employ	VERB
cana-3480	29	11	a	a	DET
cana-3480	29	12	disjoint	disjoint	ADJ
cana-3480	29	13	matrix	matrix	NOUN
cana-3480	29	14	of	of	ADP
cana-3480	29	15	complement	complement	NOUN
cana-3480	29	16	graph	graph	NOUN
cana-3480	29	17	of	of	ADP
cana-3480	29	18	each	each	DET
cana-3480	29	19	word	word	NOUN
cana-3480	29	20	in	in	ADP
cana-3480	29	21	a	a	DET
cana-3480	29	22	sentence	sentence	NOUN
cana-3480	29	23	,	,	PUNCT
cana-3480	29	24	treating	treat	VERB
cana-3480	29	25	each	each	DET
cana-3480	29	26	word	word	NOUN
cana-3480	29	27	as	as	ADP
cana-3480	29	28	a	a	DET
cana-3480	29	29	separate	separate	ADJ
cana-3480	29	30	complete	complete	ADJ
cana-3480	29	31	graph	graph	NOUN
cana-3480	29	32	and	and	CCONJ
cana-3480	29	33	representing	represent	VERB
cana-3480	29	34	spaces	space	NOUN
cana-3480	29	35	by	by	ADP
cana-3480	29	36	disjoint	disjoint	NOUN
cana-3480	29	37	segments	segment	NOUN
cana-3480	29	38	i.e.	i.e.	X
cana-3480	29	39	zero	zero	NUM
cana-3480	29	40	within	within	ADP
cana-3480	29	41	the	the	DET
cana-3480	29	42	matrix	matrix	NOUN
cana-3480	29	43	.	.	PUNCT
cana-3480	30	1	the	the	DET
cana-3480	30	2	inherent	inherent	ADJ
cana-3480	30	3	complexity	complexity	NOUN
cana-3480	30	4	of	of	ADP
cana-3480	30	5	graph	graph	NOUN
cana-3480	30	6	structures	structure	NOUN
cana-3480	30	7	makes	make	VERB
cana-3480	30	8	it	it	PRON
cana-3480	30	9	challenging	challenge	VERB
cana-3480	30	10	for	for	ADP
cana-3480	30	11	adversaries	adversary	NOUN
cana-3480	30	12	to	to	ADP
cana-3480	30	13	decipher	decipher	NOUN
cana-3480	30	14	encoded	encode	VERB
cana-3480	30	15	messages	message	NOUN
cana-3480	30	16	without	without	ADP
cana-3480	30	17	the	the	DET
cana-3480	30	18	proper	proper	ADJ
cana-3480	30	19	key	key	NOUN
cana-3480	30	20	.	.	PUNCT
cana-3480	31	1	the	the	DET
cana-3480	31	2	use	use	NOUN
cana-3480	31	3	of	of	ADP
cana-3480	31	4	graph	graph	NOUN
cana-3480	31	5	complements	complement	NOUN
cana-3480	31	6	and	and	CCONJ
cana-3480	31	7	disjoint	disjoint	NOUN
cana-3480	31	8	graphs	graph	NOUN
cana-3480	31	9	further	far	ADV
cana-3480	31	10	obfuscates	obfuscate	VERB
cana-3480	31	11	the	the	DET
cana-3480	31	12	data	datum	NOUN
cana-3480	31	13	,	,	PUNCT
cana-3480	31	14	adding	add	VERB
cana-3480	31	15	layers	layer	NOUN
cana-3480	31	16	of	of	ADP
cana-3480	31	17	security	security	NOUN
cana-3480	31	18	.	.	PUNCT
cana-3480	32	1	graph	graph	NOUN
cana-3480	32	2	-	-	PUNCT
cana-3480	32	3	theory	theory	NOUN
cana-3480	32	4	-	-	PUNCT
cana-3480	32	5	based	base	VERB
cana-3480	32	6	cryptographic	cryptographic	ADJ
cana-3480	32	7	techniques	technique	NOUN
cana-3480	32	8	have	have	VERB
cana-3480	32	9	numerous	numerous	ADJ
cana-3480	32	10	applications	application	NOUN
cana-3480	32	11	,	,	PUNCT
cana-3480	32	12	including	include	VERB
cana-3480	32	13	securing	secure	VERB
cana-3480	32	14	communication	communication	NOUN
cana-3480	32	15	channels	channel	NOUN
cana-3480	32	16	,	,	PUNCT
cana-3480	32	17	protecting	protect	VERB
cana-3480	32	18	sensitive	sensitive	ADJ
cana-3480	32	19	data	datum	NOUN
cana-3480	32	20	,	,	PUNCT
cana-3480	32	21	and	and	CCONJ
cana-3480	32	22	ensuring	ensure	VERB
cana-3480	32	23	the	the	DET
cana-3480	32	24	integrity	integrity	NOUN
cana-3480	32	25	of	of	ADP
cana-3480	32	26	information	information	NOUN
cana-3480	32	27	.	.	PUNCT
cana-3480	33	1	they	they	PRON
cana-3480	33	2	can	can	AUX
cana-3480	33	3	enhance	enhance	VERB
cana-3480	33	4	digital	digital	ADJ
cana-3480	33	5	signatures	signature	NOUN
cana-3480	33	6	and	and	CCONJ
cana-3480	33	7	be	be	AUX
cana-3480	33	8	applied	apply	VERB
cana-3480	33	9	in	in	ADP
cana-3480	33	10	blockchain	blockchain	PROPN
cana-3480	33	11	technology	technology	PROPN
cana-3480	33	12	to	to	PART
cana-3480	33	13	safeguard	safeguard	VERB
cana-3480	33	14	transactions	transaction	NOUN
cana-3480	33	15	and	and	CCONJ
cana-3480	33	16	maintain	maintain	VERB
cana-3480	33	17	user	user	NOUN
cana-3480	33	18	privacy	privacy	NOUN
cana-3480	33	19	.	.	PUNCT
cana-3480	34	1	in	in	ADP
cana-3480	34	2	conclusion	conclusion	NOUN
cana-3480	34	3	,	,	PUNCT
cana-3480	34	4	integrating	integrate	VERB
cana-3480	34	5	graph	graph	NOUN
cana-3480	34	6	theory	theory	NOUN
cana-3480	34	7	into	into	ADP
cana-3480	34	8	cryptography	cryptography	NOUN
cana-3480	34	9	offers	offer	NOUN
cana-3480	34	10	promising	promise	VERB
cana-3480	34	11	avenues	avenue	NOUN
cana-3480	34	12	for	for	ADP
cana-3480	34	13	developing	develop	VERB
cana-3480	34	14	advanced	advanced	ADJ
cana-3480	34	15	encryption	encryption	NOUN
cana-3480	34	16	methods	method	NOUN
cana-3480	34	17	.	.	PUNCT
cana-3480	35	1	this	this	DET
cana-3480	35	2	research	research	NOUN
cana-3480	35	3	aims	aim	VERB
cana-3480	35	4	to	to	PART
cana-3480	35	5	explore	explore	VERB
cana-3480	35	6	these	these	DET
cana-3480	35	7	methodologies	methodology	NOUN
cana-3480	35	8	,	,	PUNCT
cana-3480	35	9	demonstrating	demonstrate	VERB
cana-3480	35	10	their	their	PRON
cana-3480	35	11	potential	potential	NOUN
cana-3480	35	12	and	and	CCONJ
cana-3480	35	13	efficacy	efficacy	NOUN
cana-3480	35	14	in	in	ADP
cana-3480	35	15	real	real	ADJ
cana-3480	35	16	-	-	PUNCT
cana-3480	35	17	world	world	NOUN
cana-3480	35	18	cryptographic	cryptographic	ADJ
cana-3480	35	19	applications	application	NOUN
cana-3480	35	20	.	.	PUNCT
cana-3480	36	1	previous	previous	ADJ
cana-3480	36	2	studies	study	NOUN
cana-3480	36	3	have	have	AUX
cana-3480	36	4	shown	show	VERB
cana-3480	36	5	various	various	ADJ
cana-3480	36	6	applications	application	NOUN
cana-3480	36	7	and	and	CCONJ
cana-3480	36	8	methodologies	methodology	NOUN
cana-3480	36	9	in	in	ADP
cana-3480	36	10	this	this	DET
cana-3480	36	11	field	field	NOUN
cana-3480	36	12	,	,	PUNCT
cana-3480	36	13	such	such	ADJ
cana-3480	36	14	as	as	ADP
cana-3480	36	15	a	a	DET
cana-3480	36	16	graph	graph	NOUN
cana-3480	36	17	theory	theory	NOUN
cana-3480	36	18	approach	approach	NOUN
cana-3480	36	19	on	on	ADP
cana-3480	36	20	cryptography	cryptography	NOUN
cana-3480	37	1	[	[	X
cana-3480	37	2	1	1	NUM
cana-3480	37	3	]	]	PUNCT
cana-3480	37	4	,	,	PUNCT
cana-3480	37	5	antimagic	antimagic	ADJ
cana-3480	37	6	labeled	label	VERB
cana-3480	37	7	graphs	graph	NOUN
cana-3480	37	8	for	for	ADP
cana-3480	37	9	cryptographic	cryptographic	ADJ
cana-3480	37	10	applications	application	NOUN
cana-3480	37	11	[	[	X
cana-3480	37	12	2	2	NUM
cana-3480	37	13	]	]	PUNCT
cana-3480	37	14	,	,	PUNCT
cana-3480	37	15	and	and	CCONJ
cana-3480	37	16	the	the	DET
cana-3480	37	17	application	application	NOUN
cana-3480	37	18	of	of	ADP
cana-3480	37	19	graph	graph	NOUN
cana-3480	37	20	theory	theory	NOUN
cana-3480	37	21	in	in	ADP
cana-3480	37	22	secure	secure	ADJ
cana-3480	37	23	communication	communication	NOUN
cana-3480	37	24	[	[	X
cana-3480	37	25	3,4	3,4	NUM
cana-3480	37	26	]	]	PUNCT
cana-3480	37	27	.	.	PUNCT
cana-3480	38	1	additional	additional	ADJ
cana-3480	38	2	research	research	NOUN
cana-3480	38	3	has	have	AUX
cana-3480	38	4	focused	focus	VERB
cana-3480	38	5	on	on	ADP
cana-3480	38	6	specific	specific	ADJ
cana-3480	38	7	graph	graph	NOUN
cana-3480	38	8	types	type	NOUN
cana-3480	38	9	for	for	ADP
cana-3480	38	10	encryption	encryption	NOUN
cana-3480	38	11	[	[	X
cana-3480	38	12	5	5	NUM
cana-3480	38	13	]	]	PUNCT
cana-3480	38	14	,	,	PUNCT
cana-3480	38	15	solving	solve	VERB
cana-3480	38	16	cryptographic	cryptographic	ADJ
cana-3480	38	17	problems	problem	NOUN
cana-3480	38	18	using	use	VERB
cana-3480	38	19	graph	graph	NOUN
cana-3480	38	20	theory	theory	NOUN
cana-3480	38	21	[	[	X
cana-3480	38	22	6	6	NUM
cana-3480	38	23	]	]	PUNCT
cana-3480	38	24	,	,	PUNCT
cana-3480	38	25	graph	graph	NOUN
cana-3480	38	26	-	-	PUNCT
cana-3480	38	27	based	base	VERB
cana-3480	38	28	encryption	encryption	NOUN
cana-3480	38	29	schemes	scheme	NOUN
cana-3480	38	30	[	[	X
cana-3480	38	31	8	8	NUM
cana-3480	38	32	]	]	PUNCT
cana-3480	38	33	and	and	CCONJ
cana-3480	38	34	cryptography	cryptography	NOUN
cana-3480	38	35	is	be	AUX
cana-3480	38	36	also	also	ADV
cana-3480	38	37	discussed	discuss	VERB
cana-3480	38	38	using	use	VERB
cana-3480	38	39	python	python	NOUN
cana-3480	39	1	[	[	X
cana-3480	39	2	7	7	NUM
cana-3480	39	3	]	]	PUNCT
cana-3480	39	4	.	.	PUNCT
cana-3480	40	1	these	these	DET
cana-3480	40	2	works	work	NOUN
cana-3480	40	3	provide	provide	VERB
cana-3480	40	4	a	a	DET
cana-3480	40	5	solid	solid	ADJ
cana-3480	40	6	foundation	foundation	NOUN
cana-3480	40	7	for	for	ADP
cana-3480	40	8	further	further	ADJ
cana-3480	40	9	exploration	exploration	NOUN
cana-3480	40	10	and	and	CCONJ
cana-3480	40	11	development	development	NOUN
cana-3480	40	12	in	in	ADP
cana-3480	40	13	this	this	DET
cana-3480	40	14	area	area	NOUN
cana-3480	40	15	.	.	PUNCT
cana-3480	41	1	2	2	X
cana-3480	41	2	.	.	X
cana-3480	41	3	objectives	objective	VERB
cana-3480	41	4	the	the	DET
cana-3480	41	5	objective	objective	NOUN
cana-3480	41	6	of	of	ADP
cana-3480	41	7	this	this	DET
cana-3480	41	8	research	research	NOUN
cana-3480	41	9	is	be	AUX
cana-3480	41	10	to	to	PART
cana-3480	41	11	explore	explore	VERB
cana-3480	41	12	and	and	CCONJ
cana-3480	41	13	develop	develop	VERB
cana-3480	41	14	novel	novel	ADJ
cana-3480	41	15	cryptographic	cryptographic	ADJ
cana-3480	41	16	techniques	technique	NOUN
cana-3480	41	17	leveraging	leverage	VERB
cana-3480	41	18	graph	graph	NOUN
cana-3480	41	19	theory	theory	NOUN
cana-3480	41	20	concepts	concept	NOUN
cana-3480	41	21	,	,	PUNCT
cana-3480	41	22	such	such	ADJ
cana-3480	41	23	as	as	ADP
cana-3480	41	24	adjacency	adjacency	NOUN
cana-3480	41	25	matrices	matrix	NOUN
cana-3480	41	26	,	,	PUNCT
cana-3480	41	27	graph	graph	NOUN
cana-3480	41	28	complements	complement	NOUN
cana-3480	41	29	,	,	PUNCT
cana-3480	41	30	and	and	CCONJ
cana-3480	41	31	disjoint	disjoint	NOUN
cana-3480	41	32	graphs	graph	NOUN
cana-3480	41	33	,	,	PUNCT
cana-3480	41	34	to	to	PART
cana-3480	41	35	enhance	enhance	VERB
cana-3480	41	36	the	the	DET
cana-3480	41	37	security	security	NOUN
cana-3480	41	38	and	and	CCONJ
cana-3480	41	39	complexity	complexity	NOUN
cana-3480	41	40	of	of	ADP
cana-3480	41	41	encryption	encryption	NOUN
cana-3480	41	42	methods	method	NOUN
cana-3480	41	43	.	.	PUNCT
cana-3480	42	1	by	by	ADP
cana-3480	42	2	utilizing	utilize	VERB
cana-3480	42	3	the	the	DET
cana-3480	42	4	structural	structural	ADJ
cana-3480	42	5	intricacies	intricacy	NOUN
cana-3480	42	6	of	of	ADP
cana-3480	42	7	graphs	graph	NOUN
cana-3480	42	8	,	,	PUNCT
cana-3480	42	9	the	the	DET
cana-3480	42	10	study	study	NOUN
cana-3480	42	11	aims	aim	VERB
cana-3480	42	12	to	to	PART
cana-3480	42	13	create	create	VERB
cana-3480	42	14	encryption	encryption	NOUN
cana-3480	42	15	systems	system	NOUN
cana-3480	42	16	that	that	PRON
cana-3480	42	17	are	be	AUX
cana-3480	42	18	resistant	resistant	ADJ
cana-3480	42	19	to	to	ADP
cana-3480	42	20	common	common	ADJ
cana-3480	42	21	attacks	attack	NOUN
cana-3480	42	22	,	,	PUNCT
cana-3480	42	23	with	with	ADP
cana-3480	42	24	potential	potential	ADJ
cana-3480	42	25	applications	application	NOUN
cana-3480	42	26	in	in	ADP
cana-3480	42	27	secure	secure	ADJ
cana-3480	42	28	communication	communication	NOUN
cana-3480	42	29	,	,	PUNCT
cana-3480	42	30	data	data	NOUN
cana-3480	42	31	protection	protection	NOUN
cana-3480	42	32	,	,	PUNCT
cana-3480	42	33	and	and	CCONJ
cana-3480	42	34	blockchain	blockchain	PROPN
cana-3480	42	35	technology	technology	PROPN
cana-3480	42	36	.	.	PUNCT
cana-3480	43	1	communications	communication	NOUN
cana-3480	43	2	on	on	ADP
cana-3480	43	3	applied	apply	VERB
cana-3480	43	4	nonlinear	nonlinear	ADJ
cana-3480	43	5	analysis	analysis	NOUN
cana-3480	43	6	issn	issn	NOUN
cana-3480	43	7	:	:	PUNCT
cana-3480	43	8	1074	1074	NUM
cana-3480	43	9	-	-	PUNCT
cana-3480	43	10	133x	133x	NUM
cana-3480	43	11	vol	vol	NOUN
cana-3480	43	12	32	32	NUM
cana-3480	43	13	no	no	NOUN
cana-3480	43	14	.	.	PUNCT
cana-3480	44	1	7s	7	NOUN
cana-3480	44	2	(	(	PUNCT
cana-3480	44	3	2025	2025	NUM
cana-3480	44	4	)	)	PUNCT
cana-3480	44	5	746	746	NUM
cana-3480	44	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3480	44	7	methods	method	NOUN
cana-3480	44	8	this	this	DET
cana-3480	44	9	study	study	NOUN
cana-3480	44	10	employs	employ	VERB
cana-3480	44	11	graph	graph	NOUN
cana-3480	44	12	theory	theory	NOUN
cana-3480	44	13	for	for	ADP
cana-3480	44	14	cryptography	cryptography	NOUN
cana-3480	44	15	by	by	ADP
cana-3480	44	16	using	use	VERB
cana-3480	44	17	adjacency	adjacency	NOUN
cana-3480	44	18	matrices	matrix	NOUN
cana-3480	44	19	,	,	PUNCT
cana-3480	44	20	graph	graph	NOUN
cana-3480	44	21	complements	complement	NOUN
cana-3480	44	22	,	,	PUNCT
cana-3480	44	23	and	and	CCONJ
cana-3480	44	24	adjoint	adjoint	NOUN
cana-3480	44	25	matrices	matrix	NOUN
cana-3480	44	26	for	for	ADP
cana-3480	44	27	encryption	encryption	NOUN
cana-3480	44	28	and	and	CCONJ
cana-3480	44	29	decryption	decryption	NOUN
cana-3480	44	30	.	.	PUNCT
cana-3480	45	1	single	single	ADJ
cana-3480	45	2	-	-	PUNCT
cana-3480	45	3	word	word	NOUN
cana-3480	45	4	messages	message	NOUN
cana-3480	45	5	are	be	AUX
cana-3480	45	6	encoded	encode	VERB
cana-3480	45	7	with	with	ADP
cana-3480	45	8	complement	complement	NOUN
cana-3480	45	9	graphs	graph	NOUN
cana-3480	45	10	,	,	PUNCT
cana-3480	45	11	while	while	SCONJ
cana-3480	45	12	multi	multi	ADJ
cana-3480	45	13	-	-	ADJ
cana-3480	45	14	word	word	ADJ
cana-3480	45	15	messages	message	NOUN
cana-3480	45	16	use	use	VERB
cana-3480	45	17	disjoint	disjoint	NOUN
cana-3480	45	18	graphs	graph	NOUN
cana-3480	45	19	with	with	ADP
cana-3480	45	20	spaces	space	NOUN
cana-3480	45	21	represented	represent	VERB
cana-3480	45	22	as	as	ADP
cana-3480	45	23	zero	zero	NUM
cana-3480	45	24	segments	segment	NOUN
cana-3480	45	25	.	.	PUNCT
cana-3480	46	1	these	these	DET
cana-3480	46	2	techniques	technique	NOUN
cana-3480	46	3	enhance	enhance	VERB
cana-3480	46	4	message	message	NOUN
cana-3480	46	5	security	security	NOUN
cana-3480	46	6	through	through	ADP
cana-3480	46	7	graph	graph	NOUN
cana-3480	46	8	-	-	PUNCT
cana-3480	46	9	based	base	VERB
cana-3480	46	10	structural	structural	ADJ
cana-3480	46	11	complexity	complexity	NOUN
cana-3480	46	12	.	.	PUNCT
cana-3480	47	1	3	3	X
cana-3480	47	2	.	.	NOUN
cana-3480	47	3	results	result	VERB
cana-3480	47	4	a	a	DET
cana-3480	47	5	b	b	NOUN
cana-3480	47	6	c	c	NOUN
cana-3480	48	1	d	d	X
cana-3480	48	2	e	e	X
cana-3480	48	3	f	f	PROPN
cana-3480	48	4	g	g	PROPN
cana-3480	48	5	h	h	NOUN
cana-3480	49	1	i	i	NOUN
cana-3480	49	2	j	j	NOUN
cana-3480	49	3	0	0	NUM
cana-3480	49	4	1	1	NUM
cana-3480	49	5	2	2	NUM
cana-3480	49	6	3	3	NUM
cana-3480	49	7	4	4	NUM
cana-3480	49	8	5	5	NUM
cana-3480	49	9	6	6	NUM
cana-3480	49	10	7	7	NUM
cana-3480	49	11	8	8	NUM
cana-3480	49	12	9	9	NUM
cana-3480	49	13	k	k	NOUN
cana-3480	49	14	l	l	NOUN
cana-3480	49	15	m	m	VERB
cana-3480	49	16	n	n	ADV
cana-3480	49	17	o	o	NOUN
cana-3480	49	18	p	p	X
cana-3480	49	19	q	q	NOUN
cana-3480	49	20	r	r	NOUN
cana-3480	49	21	s	s	PROPN
cana-3480	49	22	t	t	NOUN
cana-3480	49	23	10	10	NUM
cana-3480	49	24	11	11	NUM
cana-3480	49	25	12	12	NUM
cana-3480	49	26	13	13	NUM
cana-3480	49	27	14	14	NUM
cana-3480	49	28	15	15	NUM
cana-3480	49	29	16	16	NUM
cana-3480	49	30	17	17	NUM
cana-3480	49	31	18	18	NUM
cana-3480	49	32	19	19	NUM
cana-3480	49	33	u	u	NOUN
cana-3480	49	34	v	v	ADP
cana-3480	49	35	w	w	NOUN
cana-3480	49	36	x	x	PUNCT
cana-3480	49	37	y	y	PROPN
cana-3480	49	38	z	z	PROPN
cana-3480	49	39	20	20	NUM
cana-3480	49	40	21	21	NUM
cana-3480	49	41	22	22	NUM
cana-3480	49	42	23	23	NUM
cana-3480	49	43	24	24	NUM
cana-3480	49	44	25	25	NUM
cana-3480	49	45	table	table	NOUN
cana-3480	49	46	1	1	NUM
cana-3480	49	47	:	:	PUNCT
cana-3480	49	48	numerical	numerical	ADJ
cana-3480	49	49	representation	representation	NOUN
cana-3480	49	50	of	of	ADP
cana-3480	49	51	the	the	DET
cana-3480	49	52	alphabet	alphabet	NOUN
cana-3480	50	1	a	a	DET
cana-3480	50	2	b	b	NOUN
cana-3480	50	3	c	c	NOUN
cana-3480	50	4	d	d	PROPN
cana-3480	50	5	e	e	X
cana-3480	50	6	f	f	PROPN
cana-3480	50	7	g	g	PROPN
cana-3480	50	8	h	h	NOUN
cana-3480	51	1	i	i	PRON
cana-3480	51	2	j	j	PROPN
cana-3480	51	3	65	65	NUM
cana-3480	51	4	66	66	NUM
cana-3480	51	5	67	67	NUM
cana-3480	51	6	68	68	NUM
cana-3480	51	7	69	69	NUM
cana-3480	51	8	70	70	NUM
cana-3480	51	9	71	71	NUM
cana-3480	51	10	72	72	NUM
cana-3480	51	11	73	73	NUM
cana-3480	51	12	74	74	NUM
cana-3480	52	1	k	k	NOUN
cana-3480	52	2	l	l	NOUN
cana-3480	52	3	m	m	VERB
cana-3480	53	1	n	n	ADV
cana-3480	54	1	o	o	NOUN
cana-3480	54	2	p	p	X
cana-3480	54	3	q	q	NOUN
cana-3480	54	4	r	r	NOUN
cana-3480	54	5	s	s	PROPN
cana-3480	54	6	t	t	NOUN
cana-3480	54	7	75	75	NUM
cana-3480	54	8	76	76	NUM
cana-3480	54	9	77	77	NUM
cana-3480	54	10	78	78	NUM
cana-3480	54	11	79	79	NUM
cana-3480	54	12	80	80	NUM
cana-3480	54	13	81	81	NUM
cana-3480	54	14	82	82	NUM
cana-3480	54	15	83	83	NUM
cana-3480	54	16	84	84	NUM
cana-3480	54	17	u	u	NOUN
cana-3480	54	18	v	v	ADP
cana-3480	54	19	w	w	NOUN
cana-3480	54	20	x	x	PUNCT
cana-3480	54	21	y	y	PROPN
cana-3480	54	22	z	z	PROPN
cana-3480	54	23	85	85	NUM
cana-3480	54	24	86	86	NUM
cana-3480	54	25	87	87	NUM
cana-3480	54	26	88	88	NUM
cana-3480	54	27	89	89	NUM
cana-3480	54	28	90	90	NUM
cana-3480	54	29	table	table	NOUN
cana-3480	54	30	2	2	NUM
cana-3480	54	31	:	:	PUNCT
cana-3480	54	32	ascii	ascii	NOUN
cana-3480	54	33	value	value	NOUN
cana-3480	54	34	representation	representation	NOUN
cana-3480	54	35	of	of	ADP
cana-3480	54	36	the	the	DET
cana-3480	54	37	alphabets	alphabet	NOUN
cana-3480	54	38	0	0	NUM
cana-3480	55	1	1	1	NUM
cana-3480	55	2	2	2	NUM
cana-3480	55	3	3	3	NUM
cana-3480	55	4	4	4	NUM
cana-3480	55	5	5	5	NUM
cana-3480	55	6	6	6	NUM
cana-3480	55	7	7	7	NUM
cana-3480	55	8	8	8	NUM
cana-3480	55	9	9	9	NUM
cana-3480	55	10	48	48	NUM
cana-3480	55	11	49	49	NUM
cana-3480	55	12	50	50	NUM
cana-3480	55	13	51	51	NUM
cana-3480	55	14	52	52	NUM
cana-3480	55	15	53	53	NUM
cana-3480	55	16	54	54	NUM
cana-3480	55	17	55	55	NUM
cana-3480	55	18	56	56	NUM
cana-3480	55	19	57	57	NUM
cana-3480	55	20	communications	communication	NOUN
cana-3480	55	21	on	on	ADP
cana-3480	55	22	applied	apply	VERB
cana-3480	55	23	nonlinear	nonlinear	ADJ
cana-3480	55	24	analysis	analysis	NOUN
cana-3480	55	25	issn	issn	NOUN
cana-3480	55	26	:	:	PUNCT
cana-3480	55	27	1074	1074	NUM
cana-3480	55	28	-	-	PUNCT
cana-3480	55	29	133x	133x	NUM
cana-3480	55	30	vol	vol	NOUN
cana-3480	55	31	32	32	NUM
cana-3480	55	32	no	no	NOUN
cana-3480	55	33	.	.	PUNCT
cana-3480	56	1	7s	7	NOUN
cana-3480	56	2	(	(	PUNCT
cana-3480	56	3	2025	2025	NUM
cana-3480	56	4	)	)	PUNCT
cana-3480	56	5	747	747	NUM
cana-3480	57	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3480	57	2	table	table	NOUN
cana-3480	57	3	3	3	NUM
cana-3480	57	4	:	:	PUNCT
cana-3480	57	5	ascii	ascii	NOUN
cana-3480	57	6	value	value	NOUN
cana-3480	57	7	representation	representation	NOUN
cana-3480	57	8	of	of	ADP
cana-3480	57	9	the	the	DET
cana-3480	57	10	numbers	number	NOUN
cana-3480	57	11	theorem	theorem	VERB
cana-3480	57	12	2.1	2.1	NUM
cana-3480	57	13	:	:	PUNCT
cana-3480	57	14	algorithm	algorithm	NOUN
cana-3480	57	15	for	for	ADP
cana-3480	57	16	encryption	encryption	NOUN
cana-3480	57	17	and	and	CCONJ
cana-3480	57	18	decryption	decryption	NOUN
cana-3480	57	19	of	of	ADP
cana-3480	57	20	a	a	DET
cana-3480	57	21	message	message	NOUN
cana-3480	57	22	.	.	PUNCT
cana-3480	58	1	proof	proof	NOUN
cana-3480	58	2	:	:	PUNCT
cana-3480	58	3	to	to	PART
cana-3480	58	4	encrypt	encrypt	VERB
cana-3480	58	5	and	and	CCONJ
cana-3480	58	6	decrypt	decrypt	VERB
cana-3480	58	7	the	the	DET
cana-3480	58	8	message	message	NOUN
cana-3480	58	9	we	we	PRON
cana-3480	58	10	will	will	AUX
cana-3480	58	11	proceed	proceed	VERB
cana-3480	58	12	with	with	ADP
cana-3480	58	13	the	the	DET
cana-3480	58	14	following	follow	VERB
cana-3480	58	15	two	two	NUM
cana-3480	58	16	cases	case	NOUN
cana-3480	58	17	:	:	PUNCT
cana-3480	58	18	case	case	NOUN
cana-3480	58	19	ialgorithm	ialgorithm	PROPN
cana-3480	58	20	for	for	ADP
cana-3480	58	21	encryption	encryption	NOUN
cana-3480	58	22	and	and	CCONJ
cana-3480	58	23	decryption	decryption	NOUN
cana-3480	58	24	for	for	ADP
cana-3480	58	25	a	a	DET
cana-3480	58	26	single	single	ADJ
cana-3480	58	27	code	code	NOUN
cana-3480	58	28	message	message	NOUN
cana-3480	58	29	.	.	PUNCT
cana-3480	59	1	the	the	DET
cana-3480	59	2	message	message	NOUN
cana-3480	59	3	will	will	AUX
cana-3480	59	4	be	be	AUX
cana-3480	59	5	encrypted	encrypt	VERB
cana-3480	59	6	using	use	VERB
cana-3480	59	7	the	the	DET
cana-3480	59	8	complement	complement	NOUN
cana-3480	59	9	graph	graph	NOUN
cana-3480	59	10	and	and	CCONJ
cana-3480	59	11	the	the	DET
cana-3480	59	12	adjoint	adjoint	NOUN
cana-3480	59	13	of	of	ADP
cana-3480	59	14	a	a	DET
cana-3480	59	15	matrix	matrix	NOUN
cana-3480	59	16	.	.	PUNCT
cana-3480	60	1	the	the	DET
cana-3480	60	2	message	message	NOUN
cana-3480	60	3	can	can	AUX
cana-3480	60	4	be	be	AUX
cana-3480	60	5	a	a	DET
cana-3480	60	6	combination	combination	NOUN
cana-3480	60	7	of	of	ADP
cana-3480	60	8	alphabets	alphabet	NOUN
cana-3480	60	9	and	and	CCONJ
cana-3480	60	10	numbers	number	NOUN
cana-3480	60	11	.	.	PUNCT
cana-3480	61	1	the	the	DET
cana-3480	61	2	secret	secret	PROPN
cana-3480	61	3	code	code	NOUN
cana-3480	61	4	required	require	VERB
cana-3480	61	5	for	for	ADP
cana-3480	61	6	decryption	decryption	NOUN
cana-3480	61	7	will	will	AUX
cana-3480	61	8	be	be	AUX
cana-3480	61	9	securely	securely	ADV
cana-3480	61	10	sent	send	VERB
cana-3480	61	11	to	to	ADP
cana-3480	61	12	the	the	DET
cana-3480	61	13	receiver	receiver	NOUN
cana-3480	61	14	,	,	PUNCT
cana-3480	61	15	ensuring	ensure	VERB
cana-3480	61	16	that	that	SCONJ
cana-3480	61	17	only	only	ADV
cana-3480	61	18	the	the	DET
cana-3480	61	19	intended	intend	VERB
cana-3480	61	20	recipient	recipient	NOUN
cana-3480	61	21	can	can	AUX
cana-3480	61	22	access	access	VERB
cana-3480	61	23	the	the	DET
cana-3480	61	24	original	original	ADJ
cana-3480	61	25	message	message	NOUN
cana-3480	61	26	.	.	PUNCT
cana-3480	62	1	algorithm	algorithm	NOUN
cana-3480	62	2	for	for	ADP
cana-3480	62	3	encryption	encryption	NOUN
cana-3480	62	4	:	:	PUNCT
cana-3480	62	5	to	to	PART
cana-3480	62	6	initiate	initiate	VERB
cana-3480	62	7	the	the	DET
cana-3480	62	8	encryption	encryption	NOUN
cana-3480	62	9	algorithm	algorithm	NOUN
cana-3480	62	10	,	,	PUNCT
cana-3480	62	11	follow	follow	VERB
cana-3480	62	12	the	the	DET
cana-3480	62	13	following	follow	VERB
cana-3480	62	14	steps	step	NOUN
cana-3480	62	15	1	1	NUM
cana-3480	62	16	.	.	PUNCT
cana-3480	62	17	convert	convert	VERB
cana-3480	62	18	each	each	DET
cana-3480	62	19	and	and	CCONJ
cana-3480	62	20	every	every	PRON
cana-3480	62	21	alphabet	alphabet	NOUN
cana-3480	62	22	and	and	CCONJ
cana-3480	62	23	number	number	NOUN
cana-3480	62	24	into	into	ADP
cana-3480	62	25	its	its	PRON
cana-3480	62	26	ascii	ascii	NOUN
cana-3480	62	27	value	value	NOUN
cana-3480	62	28	.	.	PUNCT
cana-3480	63	1	2	2	X
cana-3480	63	2	.	.	X
cana-3480	63	3	apply	apply	VERB
cana-3480	63	4	the	the	DET
cana-3480	63	5	shift	shift	NOUN
cana-3480	63	6	cipher	cipher	ADJ
cana-3480	63	7	as	as	ADP
cana-3480	63	8	(	(	PUNCT
cana-3480	63	9	numerical	numerical	ADJ
cana-3480	63	10	value	value	NOUN
cana-3480	63	11	+	+	CCONJ
cana-3480	63	12	4)mod26	4)mod26	NUM
cana-3480	63	13	3	3	NUM
cana-3480	63	14	.	.	PUNCT
cana-3480	64	1	let	let	VERB
cana-3480	64	2	a1	a1	NOUN
cana-3480	64	3	,	,	PUNCT
cana-3480	64	4	a2	a2	PROPN
cana-3480	64	5	,	,	PUNCT
cana-3480	64	6	a3	a3	NOUN
cana-3480	64	7	,	,	PUNCT
cana-3480	64	8	…	…	PUNCT
cana-3480	64	9	……	……	NOUN
cana-3480	64	10	.	.	NOUN
cana-3480	64	11	,	,	PUNCT
cana-3480	64	12	an	an	DET
cana-3480	64	13	be	be	AUX
cana-3480	64	14	the	the	DET
cana-3480	64	15	variables	variable	NOUN
cana-3480	64	16	assigned	assign	VERB
cana-3480	64	17	to	to	ADP
cana-3480	64	18	the	the	DET
cana-3480	64	19	values	value	NOUN
cana-3480	64	20	.	.	PUNCT
cana-3480	65	1	4	4	X
cana-3480	65	2	.	.	X
cana-3480	65	3	construct	construct	VERB
cana-3480	65	4	a	a	DET
cana-3480	65	5	complete	complete	ADJ
cana-3480	65	6	graph	graph	NOUN
cana-3480	65	7	with	with	ADP
cana-3480	65	8	the	the	DET
cana-3480	65	9	number	number	NOUN
cana-3480	65	10	of	of	ADP
cana-3480	65	11	vertices	vertex	NOUN
cana-3480	65	12	equivalent	equivalent	ADJ
cana-3480	65	13	to	to	ADP
cana-3480	65	14	the	the	DET
cana-3480	65	15	length	length	NOUN
cana-3480	65	16	of	of	ADP
cana-3480	65	17	the	the	DET
cana-3480	65	18	text	text	NOUN
cana-3480	65	19	i.e.	i.e.	X
cana-3480	65	20	cn	cn	X
cana-3480	65	21	5	5	NUM
cana-3480	65	22	.	.	PUNCT
cana-3480	65	23	construct	construct	VERB
cana-3480	65	24	the	the	DET
cana-3480	65	25	complement	complement	NOUN
cana-3480	65	26	to	to	ADP
cana-3480	65	27	the	the	DET
cana-3480	65	28	above	above	ADJ
cana-3480	65	29	graph	graph	NOUN
cana-3480	65	30	i.e.	i.e.	X
cana-3480	65	31	c	c	NOUN
cana-3480	65	32	’	'	PUNCT
cana-3480	65	33	n	n	CCONJ
cana-3480	65	34	this	this	PRON
cana-3480	65	35	is	be	AUX
cana-3480	65	36	a	a	DET
cana-3480	65	37	key	key	ADJ
cana-3480	65	38	-	-	PUNCT
cana-3480	65	39	value	value	NOUN
cana-3480	65	40	graph	graph	NOUN
cana-3480	65	41	.	.	PUNCT
cana-3480	66	1	6	6	X
cana-3480	66	2	.	.	X
cana-3480	66	3	convert	convert	VERB
cana-3480	66	4	the	the	DET
cana-3480	66	5	graph	graph	NOUN
cana-3480	66	6	into	into	ADP
cana-3480	66	7	an	an	DET
cana-3480	66	8	adjacency	adjacency	NOUN
cana-3480	66	9	matrix	matrix	NOUN
cana-3480	66	10	.	.	PUNCT
cana-3480	67	1	7	7	X
cana-3480	67	2	.	.	X
cana-3480	67	3	find	find	VERB
cana-3480	67	4	the	the	DET
cana-3480	67	5	adjoint	adjoint	NOUN
cana-3480	67	6	matrix	matrix	NOUN
cana-3480	67	7	of	of	ADP
cana-3480	67	8	the	the	DET
cana-3480	67	9	adjacency	adjacency	NOUN
cana-3480	67	10	matrix	matrix	NOUN
cana-3480	67	11	obtained	obtain	VERB
cana-3480	67	12	in	in	ADP
cana-3480	67	13	step	step	NOUN
cana-3480	67	14	6	6	NUM
cana-3480	67	15	.	.	NOUN
cana-3480	67	16	8	8	NUM
cana-3480	67	17	.	.	X
cana-3480	67	18	add	add	VERB
cana-3480	67	19	a1	a1	PROPN
cana-3480	67	20	,	,	PUNCT
cana-3480	67	21	a2	a2	PROPN
cana-3480	67	22	,	,	PUNCT
cana-3480	67	23	a3	a3	NOUN
cana-3480	67	24	,	,	PUNCT
cana-3480	67	25	…	…	PUNCT
cana-3480	67	26	…	…	PUNCT
cana-3480	67	27	…	…	PUNCT
cana-3480	67	28	.	.	PUNCT
cana-3480	68	1	an	an	PRON
cana-3480	68	2	to	to	ADP
cana-3480	68	3	the	the	DET
cana-3480	68	4	1st	1st	ADJ
cana-3480	68	5	,	,	PUNCT
cana-3480	68	6	2nd	2nd	PROPN
cana-3480	68	7	,	,	PUNCT
cana-3480	68	8	..........	..........	PUNCT
cana-3480	68	9	,	,	PUNCT
cana-3480	68	10	nth	nth	NOUN
cana-3480	68	11	column	column	NOUN
cana-3480	68	12	respectively	respectively	ADV
cana-3480	68	13	of	of	ADP
cana-3480	68	14	the	the	DET
cana-3480	68	15	adjoint	adjoint	NOUN
cana-3480	68	16	matrix	matrix	NOUN
cana-3480	68	17	.	.	PUNCT
cana-3480	69	1	let	let	VERB
cana-3480	69	2	this	this	DET
cana-3480	69	3	new	new	ADJ
cana-3480	69	4	matrix	matrix	NOUN
cana-3480	69	5	be	be	AUX
cana-3480	69	6	b.	b.	PROPN
cana-3480	69	7	9	9	NUM
cana-3480	69	8	.	.	X
cana-3480	69	9	list	list	VERB
cana-3480	69	10	all	all	DET
cana-3480	69	11	the	the	DET
cana-3480	69	12	elements	element	NOUN
cana-3480	69	13	of	of	ADP
cana-3480	69	14	the	the	DET
cana-3480	69	15	matrix	matrix	NOUN
cana-3480	69	16	row	row	NOUN
cana-3480	69	17	by	by	ADP
cana-3480	69	18	row	row	NOUN
cana-3480	69	19	in	in	ADP
cana-3480	69	20	a	a	DET
cana-3480	69	21	list	list	NOUN
cana-3480	69	22	separately	separately	ADV
cana-3480	69	23	.	.	PUNCT
cana-3480	70	1	for	for	ADP
cana-3480	70	2	any	any	DET
cana-3480	70	3	number	number	NOUN
cana-3480	70	4	in	in	ADP
cana-3480	70	5	the	the	DET
cana-3480	70	6	list	list	NOUN
cana-3480	70	7	that	that	PRON
cana-3480	70	8	is	be	AUX
cana-3480	70	9	10	10	NUM
cana-3480	70	10	or	or	CCONJ
cana-3480	70	11	more	more	ADJ
cana-3480	70	12	,	,	PUNCT
cana-3480	70	13	convert	convert	VERB
cana-3480	70	14	it	it	PRON
cana-3480	70	15	to	to	ADP
cana-3480	70	16	the	the	DET
cana-3480	70	17	corresponding	corresponding	ADJ
cana-3480	70	18	alphabet	alphabet	NOUN
cana-3480	70	19	from	from	ADP
cana-3480	70	20	the	the	DET
cana-3480	70	21	standard	standard	ADJ
cana-3480	70	22	table	table	NOUN
cana-3480	70	23	.	.	PUNCT
cana-3480	71	1	10	10	NUM
cana-3480	71	2	.	.	PUNCT
cana-3480	72	1	send	send	VERB
cana-3480	72	2	the	the	DET
cana-3480	72	3	above	above	ADJ
cana-3480	72	4	list	list	NOUN
cana-3480	72	5	of	of	ADP
cana-3480	72	6	matrices	matrix	NOUN
cana-3480	72	7	along	along	ADP
cana-3480	72	8	with	with	ADP
cana-3480	72	9	the	the	DET
cana-3480	72	10	key	key	ADJ
cana-3480	72	11	-	-	PUNCT
cana-3480	72	12	value	value	NOUN
cana-3480	72	13	graph	graph	NOUN
cana-3480	72	14	and	and	CCONJ
cana-3480	72	15	key	key	ADJ
cana-3480	72	16	operation	operation	NOUN
cana-3480	72	17	to	to	ADP
cana-3480	72	18	the	the	DET
cana-3480	72	19	receiver	receiver	NOUN
cana-3480	72	20	.	.	PUNCT
cana-3480	73	1	additionally	additionally	ADV
cana-3480	73	2	,	,	PUNCT
cana-3480	73	3	notify	notify	VERB
cana-3480	73	4	the	the	DET
cana-3480	73	5	receiver	receiver	NOUN
cana-3480	73	6	of	of	ADP
cana-3480	73	7	the	the	DET
cana-3480	73	8	positions	position	NOUN
cana-3480	73	9	of	of	ADP
cana-3480	73	10	the	the	DET
cana-3480	73	11	numeric	numeric	ADJ
cana-3480	73	12	digits	digit	NOUN
cana-3480	73	13	in	in	ADP
cana-3480	73	14	the	the	DET
cana-3480	73	15	code	code	NOUN
cana-3480	73	16	to	to	PART
cana-3480	73	17	ensure	ensure	VERB
cana-3480	73	18	that	that	SCONJ
cana-3480	73	19	the	the	DET
cana-3480	73	20	key	key	ADJ
cana-3480	73	21	operation	operation	NOUN
cana-3480	73	22	is	be	AUX
cana-3480	73	23	not	not	PART
cana-3480	73	24	performed	perform	VERB
cana-3480	73	25	at	at	ADP
cana-3480	73	26	those	those	DET
cana-3480	73	27	locations	location	NOUN
cana-3480	73	28	.	.	PUNCT
cana-3480	74	1	algorithm	algorithm	NOUN
cana-3480	74	2	for	for	ADP
cana-3480	74	3	decryption	decryption	NOUN
cana-3480	74	4	:	:	PUNCT
cana-3480	74	5	to	to	PART
cana-3480	74	6	initiate	initiate	VERB
cana-3480	74	7	the	the	DET
cana-3480	74	8	decryption	decryption	NOUN
cana-3480	74	9	algorithm	algorithm	NOUN
cana-3480	74	10	,	,	PUNCT
cana-3480	74	11	follow	follow	VERB
cana-3480	74	12	the	the	DET
cana-3480	74	13	following	follow	VERB
cana-3480	74	14	steps	step	NOUN
cana-3480	74	15	1	1	NUM
cana-3480	74	16	.	.	PUNCT
cana-3480	74	17	examine	examine	VERB
cana-3480	74	18	the	the	DET
cana-3480	74	19	code	code	NOUN
cana-3480	74	20	for	for	ADP
cana-3480	74	21	any	any	DET
cana-3480	74	22	alphabets	alphabet	NOUN
cana-3480	74	23	.	.	PUNCT
cana-3480	75	1	if	if	SCONJ
cana-3480	75	2	any	any	DET
cana-3480	75	3	alphabets	alphabet	NOUN
cana-3480	75	4	are	be	AUX
cana-3480	75	5	found	find	VERB
cana-3480	75	6	,	,	PUNCT
cana-3480	75	7	convert	convert	VERB
cana-3480	75	8	them	they	PRON
cana-3480	75	9	to	to	ADP
cana-3480	75	10	their	their	PRON
cana-3480	75	11	corresponding	corresponding	ADJ
cana-3480	75	12	numbers	number	NOUN
cana-3480	75	13	from	from	ADP
cana-3480	75	14	the	the	DET
cana-3480	75	15	standard	standard	ADJ
cana-3480	75	16	table	table	NOUN
cana-3480	75	17	.	.	PUNCT
cana-3480	76	1	also	also	ADV
cana-3480	76	2	form	form	VERB
cana-3480	76	3	the	the	DET
cana-3480	76	4	adjacency	adjacency	NOUN
cana-3480	76	5	matrix	matrix	NOUN
cana-3480	76	6	from	from	ADP
cana-3480	76	7	the	the	DET
cana-3480	76	8	keyvalue	keyvalue	NOUN
cana-3480	76	9	graph	graph	NOUN
cana-3480	76	10	.	.	PUNCT
cana-3480	77	1	2	2	X
cana-3480	77	2	.	.	X
cana-3480	77	3	organize	organize	VERB
cana-3480	77	4	the	the	DET
cana-3480	77	5	code	code	NOUN
cana-3480	77	6	into	into	ADP
cana-3480	77	7	an	an	DET
cana-3480	77	8	n	n	NOUN
cana-3480	77	9	x	x	SYM
cana-3480	77	10	n	n	PRON
cana-3480	77	11	matrix	matrix	NOUN
cana-3480	77	12	,	,	PUNCT
cana-3480	77	13	where	where	SCONJ
cana-3480	77	14	n	n	PRON
cana-3480	77	15	represents	represent	VERB
cana-3480	77	16	the	the	DET
cana-3480	77	17	number	number	NOUN
cana-3480	77	18	of	of	ADP
cana-3480	77	19	elements	element	NOUN
cana-3480	77	20	in	in	ADP
cana-3480	77	21	the	the	DET
cana-3480	77	22	code	code	NOUN
cana-3480	77	23	,	,	PUNCT
cana-3480	77	24	arranging	arrange	VERB
cana-3480	77	25	them	they	PRON
cana-3480	77	26	row	row	NOUN
cana-3480	77	27	by	by	ADP
cana-3480	77	28	row	row	NOUN
cana-3480	77	29	.	.	PUNCT
cana-3480	78	1	3	3	X
cana-3480	78	2	.	.	X
cana-3480	78	3	find	find	VERB
cana-3480	78	4	the	the	DET
cana-3480	78	5	adjoint	adjoint	NOUN
cana-3480	78	6	matrix	matrix	NOUN
cana-3480	78	7	of	of	ADP
cana-3480	78	8	the	the	DET
cana-3480	78	9	adjacency	adjacency	NOUN
cana-3480	78	10	matrix	matrix	NOUN
cana-3480	78	11	obtained	obtain	VERB
cana-3480	78	12	in	in	ADP
cana-3480	78	13	step	step	NOUN
cana-3480	78	14	1	1	NUM
cana-3480	78	15	.	.	PUNCT
cana-3480	79	1	communications	communication	NOUN
cana-3480	79	2	on	on	ADP
cana-3480	79	3	applied	apply	VERB
cana-3480	79	4	nonlinear	nonlinear	ADJ
cana-3480	79	5	analysis	analysis	NOUN
cana-3480	79	6	issn	issn	NOUN
cana-3480	79	7	:	:	PUNCT
cana-3480	79	8	1074	1074	NUM
cana-3480	79	9	-	-	PUNCT
cana-3480	79	10	133x	133x	NUM
cana-3480	79	11	vol	vol	NOUN
cana-3480	79	12	32	32	NUM
cana-3480	79	13	no	no	NOUN
cana-3480	79	14	.	.	PUNCT
cana-3480	80	1	7s	7	NOUN
cana-3480	80	2	(	(	PUNCT
cana-3480	80	3	2025	2025	NUM
cana-3480	80	4	)	)	PUNCT
cana-3480	80	5	748	748	NUM
cana-3480	80	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3480	80	7	4	4	NUM
cana-3480	80	8	.	.	PUNCT
cana-3480	80	9	subtract	subtract	VERB
cana-3480	80	10	the	the	DET
cana-3480	80	11	adjoint	adjoint	NOUN
cana-3480	80	12	matrix	matrix	NOUN
cana-3480	80	13	obtained	obtain	VERB
cana-3480	80	14	in	in	ADP
cana-3480	80	15	step3	step3	PROPN
cana-3480	80	16	from	from	ADP
cana-3480	80	17	the	the	DET
cana-3480	80	18	matrix	matrix	NOUN
cana-3480	80	19	obtained	obtain	VERB
cana-3480	80	20	in	in	ADP
cana-3480	80	21	step2	step2	PROPN
cana-3480	80	22	.	.	PROPN
cana-3480	81	1	5	5	X
cana-3480	81	2	.	.	X
cana-3480	81	3	identify	identify	VERB
cana-3480	81	4	and	and	CCONJ
cana-3480	81	5	extract	extract	VERB
cana-3480	81	6	the	the	DET
cana-3480	81	7	common	common	ADJ
cana-3480	81	8	element	element	NOUN
cana-3480	81	9	present	present	NOUN
cana-3480	81	10	in	in	ADP
cana-3480	81	11	each	each	DET
cana-3480	81	12	column	column	NOUN
cana-3480	81	13	.	.	PUNCT
cana-3480	82	1	6	6	X
cana-3480	82	2	.	.	X
cana-3480	82	3	execute	execute	VERB
cana-3480	82	4	the	the	DET
cana-3480	82	5	operation	operation	NOUN
cana-3480	82	6	n.v	n.v	NOUN
cana-3480	82	7	.	.	PUNCT
cana-3480	83	1	+	+	PUNCT
cana-3480	84	1	9(mod26	9(mod26	NUM
cana-3480	84	2	)	)	PUNCT
cana-3480	84	3	on	on	ADP
cana-3480	84	4	each	each	DET
cana-3480	84	5	value	value	NOUN
cana-3480	84	6	,	,	PUNCT
cana-3480	84	7	excluding	exclude	VERB
cana-3480	84	8	the	the	DET
cana-3480	84	9	positions	position	NOUN
cana-3480	84	10	of	of	ADP
cana-3480	84	11	the	the	DET
cana-3480	84	12	digits	digit	NOUN
cana-3480	84	13	specified	specify	VERB
cana-3480	84	14	by	by	ADP
cana-3480	84	15	the	the	DET
cana-3480	84	16	sender	sender	NOUN
cana-3480	84	17	.	.	PUNCT
cana-3480	85	1	refer	refer	VERB
cana-3480	85	2	to	to	ADP
cana-3480	85	3	the	the	DET
cana-3480	85	4	standard	standard	ADJ
cana-3480	85	5	table	table	NOUN
cana-3480	85	6	to	to	PART
cana-3480	85	7	obtain	obtain	VERB
cana-3480	85	8	the	the	DET
cana-3480	85	9	corresponding	corresponding	ADJ
cana-3480	85	10	results	result	NOUN
cana-3480	85	11	.	.	PUNCT
cana-3480	86	1	7	7	X
cana-3480	86	2	.	.	X
cana-3480	86	3	thus	thus	ADV
cana-3480	86	4	,	,	PUNCT
cana-3480	86	5	the	the	DET
cana-3480	86	6	original	original	ADJ
cana-3480	86	7	text	text	NOUN
cana-3480	86	8	is	be	AUX
cana-3480	86	9	revealed	reveal	VERB
cana-3480	86	10	.	.	PUNCT
cana-3480	87	1	example	example	NOUN
cana-3480	87	2	:	:	PUNCT
cana-3480	87	3	using	use	VERB
cana-3480	87	4	the	the	DET
cana-3480	87	5	above	above	ADJ
cana-3480	87	6	algorithm	algorithm	NOUN
cana-3480	87	7	,	,	PUNCT
cana-3480	87	8	we	we	PRON
cana-3480	87	9	will	will	AUX
cana-3480	87	10	encrypt	encrypt	VERB
cana-3480	87	11	and	and	CCONJ
cana-3480	87	12	decrypt	decrypt	VERB
cana-3480	87	13	the	the	DET
cana-3480	87	14	code	code	NOUN
cana-3480	87	15	"	"	PUNCT
cana-3480	87	16	t4a9p	t4a9p	NUM
cana-3480	87	17	"	"	PUNCT
cana-3480	87	18	encryption	encryption	NOUN
cana-3480	87	19	the	the	DET
cana-3480	87	20	initial	initial	ADJ
cana-3480	87	21	step	step	NOUN
cana-3480	87	22	is	be	AUX
cana-3480	87	23	to	to	PART
cana-3480	87	24	transform	transform	VERB
cana-3480	87	25	each	each	DET
cana-3480	87	26	letter	letter	NOUN
cana-3480	87	27	into	into	ADP
cana-3480	87	28	its	its	PRON
cana-3480	87	29	corresponding	corresponding	ADJ
cana-3480	87	30	numerical	numerical	ADJ
cana-3480	87	31	value	value	NOUN
cana-3480	87	32	using	use	VERB
cana-3480	87	33	ascii	ascii	NOUN
cana-3480	87	34	index	index	NOUN
cana-3480	87	35	values	value	NOUN
cana-3480	87	36	.	.	PUNCT
cana-3480	88	1	t	t	NOUN
cana-3480	88	2	4	4	NUM
cana-3480	88	3	a	a	DET
cana-3480	88	4	9	9	NUM
cana-3480	88	5	p	p	NOUN
cana-3480	88	6	84	84	NUM
cana-3480	88	7	52	52	NUM
cana-3480	88	8	65	65	NUM
cana-3480	88	9	57	57	NUM
cana-3480	88	10	80	80	NUM
cana-3480	88	11	by	by	ADP
cana-3480	88	12	applying	apply	VERB
cana-3480	88	13	the	the	DET
cana-3480	88	14	given	give	VERB
cana-3480	88	15	cipher	cipher	ADJ
cana-3480	88	16	n.v	n.v	PROPN
cana-3480	88	17	.	.	PUNCT
cana-3480	89	1	+4	+4	PROPN
cana-3480	89	2	(	(	PUNCT
cana-3480	89	3	mod26	mod26	ADJ
cana-3480	89	4	)	)	PUNCT
cana-3480	89	5	,	,	PUNCT
cana-3480	89	6	we	we	PRON
cana-3480	89	7	obtain	obtain	VERB
cana-3480	89	8	the	the	DET
cana-3480	89	9	following	follow	VERB
cana-3480	89	10	numerical	numerical	ADJ
cana-3480	89	11	values	value	NOUN
cana-3480	89	12	for	for	ADP
cana-3480	89	13	the	the	DET
cana-3480	89	14	text	text	NOUN
cana-3480	89	15	.	.	PUNCT
cana-3480	90	1	t	t	PROPN
cana-3480	90	2	4	4	NUM
cana-3480	90	3	a	a	DET
cana-3480	90	4	9	9	NUM
cana-3480	90	5	p	p	NOUN
cana-3480	90	6	10	10	NUM
cana-3480	90	7	4	4	NUM
cana-3480	90	8	17	17	NUM
cana-3480	90	9	9	9	NUM
cana-3480	90	10	6	6	NUM
cana-3480	90	11	assign	assign	NOUN
cana-3480	90	12	the	the	DET
cana-3480	90	13	variables	variable	NOUN
cana-3480	90	14	{	{	PUNCT
cana-3480	90	15	a1	a1	PROPN
cana-3480	90	16	,	,	PUNCT
cana-3480	90	17	a2	a2	PROPN
cana-3480	90	18	,	,	PUNCT
cana-3480	90	19	a3	a3	NOUN
cana-3480	90	20	,	,	PUNCT
cana-3480	90	21	…	…	PUNCT
cana-3480	90	22	……	……	NOUN
cana-3480	90	23	.	.	PUNCT
cana-3480	90	24	,	,	PUNCT
cana-3480	90	25	an	an	PRON
cana-3480	90	26	}	}	PUNCT
cana-3480	90	27	to	to	ADP
cana-3480	90	28	the	the	DET
cana-3480	90	29	values	value	NOUN
cana-3480	90	30	10	10	NUM
cana-3480	90	31	4	4	NUM
cana-3480	90	32	17	17	NUM
cana-3480	90	33	9	9	NUM
cana-3480	90	34	6	6	NUM
cana-3480	90	35	a1	a1	NOUN
cana-3480	90	36	a2	a2	PROPN
cana-3480	90	37	a3	a3	PROPN
cana-3480	90	38	a4	a4	PROPN
cana-3480	90	39	a5	a5	PROPN
cana-3480	90	40	construct	construct	VERB
cana-3480	90	41	a	a	DET
cana-3480	90	42	complete	complete	ADJ
cana-3480	90	43	graph	graph	NOUN
cana-3480	90	44	with	with	ADP
cana-3480	90	45	the	the	DET
cana-3480	90	46	number	number	NOUN
cana-3480	90	47	of	of	ADP
cana-3480	90	48	vertices	vertex	NOUN
cana-3480	90	49	equivalent	equivalent	ADJ
cana-3480	90	50	to	to	ADP
cana-3480	90	51	the	the	DET
cana-3480	90	52	length	length	NOUN
cana-3480	90	53	of	of	ADP
cana-3480	90	54	the	the	DET
cana-3480	90	55	text	text	NOUN
cana-3480	90	56	i.e.	i.e.	X
cana-3480	90	57	c5	c5	PROPN
cana-3480	90	58	figure	figure	VERB
cana-3480	90	59	1	1	NUM
cana-3480	90	60	:	:	PUNCT
cana-3480	90	61	complete	complete	ADJ
cana-3480	90	62	graph	graph	NOUN
cana-3480	90	63	c5	c5	PROPN
cana-3480	90	64	communications	communication	NOUN
cana-3480	90	65	on	on	ADP
cana-3480	90	66	applied	apply	VERB
cana-3480	90	67	nonlinear	nonlinear	ADJ
cana-3480	90	68	analysis	analysis	NOUN
cana-3480	90	69	issn	issn	NOUN
cana-3480	90	70	:	:	PUNCT
cana-3480	90	71	1074	1074	NUM
cana-3480	90	72	-	-	PUNCT
cana-3480	90	73	133x	133x	NUM
cana-3480	90	74	vol	vol	NOUN
cana-3480	90	75	32	32	NUM
cana-3480	90	76	no	no	NOUN
cana-3480	90	77	.	.	PUNCT
cana-3480	91	1	7s	7	NOUN
cana-3480	91	2	(	(	PUNCT
cana-3480	91	3	2025	2025	NUM
cana-3480	91	4	)	)	PUNCT
cana-3480	91	5	749	749	NUM
cana-3480	92	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3480	92	2	construct	construct	VERB
cana-3480	92	3	the	the	DET
cana-3480	92	4	complement	complement	NOUN
cana-3480	92	5	of	of	ADP
cana-3480	92	6	c5	c5	PROPN
cana-3480	92	7	i.e.	i.e.	X
cana-3480	92	8	c	c	X
cana-3480	92	9	’	'	PUNCT
cana-3480	92	10	5	5	NUM
cana-3480	92	11	this	this	PRON
cana-3480	92	12	is	be	AUX
cana-3480	92	13	a	a	DET
cana-3480	92	14	key	key	ADJ
cana-3480	92	15	-	-	PUNCT
cana-3480	92	16	value	value	NOUN
cana-3480	92	17	graph	graph	NOUN
cana-3480	92	18	and	and	CCONJ
cana-3480	92	19	we	we	PRON
cana-3480	92	20	will	will	AUX
cana-3480	92	21	keep	keep	VERB
cana-3480	92	22	the	the	DET
cana-3480	92	23	graph	graph	NOUN
cana-3480	92	24	for	for	ADP
cana-3480	92	25	future	future	ADJ
cana-3480	92	26	use	use	NOUN
cana-3480	92	27	.	.	PUNCT
cana-3480	93	1	figure	figure	NOUN
cana-3480	93	2	2	2	NUM
cana-3480	93	3	:	:	PUNCT
cana-3480	93	4	complement	complement	NOUN
cana-3480	93	5	of	of	ADP
cana-3480	93	6	c5	c5	PROPN
cana-3480	93	7	i.e.	i.e.	X
cana-3480	93	8	c	c	X
cana-3480	93	9	’	'	PUNCT
cana-3480	93	10	5	5	NUM
cana-3480	93	11	converting	convert	VERB
cana-3480	93	12	the	the	DET
cana-3480	93	13	above	above	ADJ
cana-3480	93	14	graph	graph	NOUN
cana-3480	93	15	into	into	ADP
cana-3480	93	16	an	an	DET
cana-3480	93	17	adjacency	adjacency	NOUN
cana-3480	93	18	matrix	matrix	NOUN
cana-3480	93	19	.	.	PUNCT
cana-3480	94	1	let	let	VERB
cana-3480	94	2	a	a	DET
cana-3480	94	3	be	be	AUX
cana-3480	94	4	that	that	DET
cana-3480	94	5	matrix	matrix	NOUN
cana-3480	94	6	a	a	DET
cana-3480	94	7	=	=	SYM
cana-3480	94	8	finding	find	VERB
cana-3480	94	9	the	the	DET
cana-3480	94	10	adjoint	adjoint	NOUN
cana-3480	94	11	matrix	matrix	NOUN
cana-3480	94	12	of	of	ADP
cana-3480	94	13	the	the	DET
cana-3480	94	14	above	above	ADJ
cana-3480	94	15	matrix	matrix	NOUN
cana-3480	94	16	a	a	DET
cana-3480	94	17	adj(a	adj(a	NOUN
cana-3480	94	18	)	)	PUNCT
cana-3480	95	1	=	=	PRON
cana-3480	95	2	add	add	VERB
cana-3480	95	3	the	the	DET
cana-3480	95	4	value	value	NOUN
cana-3480	95	5	of	of	ADP
cana-3480	95	6	{	{	PUNCT
cana-3480	95	7	a1	a1	PROPN
cana-3480	95	8	,	,	PUNCT
cana-3480	95	9	a2	a2	PROPN
cana-3480	95	10	,	,	PUNCT
cana-3480	95	11	a3	a3	NOUN
cana-3480	95	12	,	,	PUNCT
cana-3480	95	13	a4	a4	PROPN
cana-3480	95	14	,	,	PUNCT
cana-3480	95	15	a5	a5	PROPN
cana-3480	95	16	}	}	PUNCT
cana-3480	95	17	to	to	ADP
cana-3480	95	18	each	each	DET
cana-3480	95	19	matrix	matrix	NOUN
cana-3480	95	20	column	column	NOUN
cana-3480	95	21	of	of	ADP
cana-3480	95	22	matrix	matrix	NOUN
cana-3480	95	23	adj(a	adj(a	PROPN
cana-3480	95	24	)	)	PUNCT
cana-3480	95	25	respectively	respectively	ADV
cana-3480	95	26	,	,	PUNCT
cana-3480	95	27	and	and	CCONJ
cana-3480	95	28	we	we	PRON
cana-3480	95	29	will	will	AUX
cana-3480	95	30	get	get	VERB
cana-3480	95	31	a	a	DET
cana-3480	95	32	new	new	ADJ
cana-3480	95	33	matrix	matrix	NOUN
cana-3480	95	34	b	b	NOUN
cana-3480	95	35	a1	a1	NOUN
cana-3480	95	36	a2	a2	PROPN
cana-3480	95	37	a3	a3	PROPN
cana-3480	95	38	a4	a4	PROPN
cana-3480	95	39	a5	a5	NOUN
cana-3480	95	40	a1	a1	NOUN
cana-3480	95	41	1	1	NUM
cana-3480	95	42	0	0	NUM
cana-3480	95	43	1	1	NUM
cana-3480	95	44	1	1	NUM
cana-3480	95	45	0	0	NUM
cana-3480	95	46	a2	a2	PROPN
cana-3480	95	47	0	0	NUM
cana-3480	95	48	1	1	NUM
cana-3480	95	49	0	0	NUM
cana-3480	95	50	1	1	NUM
cana-3480	95	51	1	1	NUM
cana-3480	95	52	a3	a3	NOUN
cana-3480	95	53	1	1	NUM
cana-3480	95	54	0	0	NUM
cana-3480	95	55	1	1	NUM
cana-3480	95	56	0	0	NUM
cana-3480	95	57	1	1	NUM
cana-3480	95	58	a4	a4	NUM
cana-3480	95	59	1	1	NUM
cana-3480	95	60	1	1	NUM
cana-3480	95	61	0	0	NUM
cana-3480	95	62	1	1	NUM
cana-3480	95	63	0	0	NUM
cana-3480	95	64	a5	a5	NOUN
cana-3480	95	65	0	0	NUM
cana-3480	95	66	1	1	NUM
cana-3480	95	67	1	1	NUM
cana-3480	95	68	0	0	NUM
cana-3480	95	69	1	1	NUM
cana-3480	95	70	1	1	NUM
cana-3480	95	71	-1	-1	SYM
cana-3480	95	72	1	1	NUM
cana-3480	95	73	-1	-1	SYM
cana-3480	95	74	1	1	NUM
cana-3480	95	75	-1	-1	SYM
cana-3480	95	76	1	1	NUM
cana-3480	95	77	-1	-1	SYM
cana-3480	95	78	1	1	NUM
cana-3480	95	79	-1	-1	SYM
cana-3480	95	80	1	1	NUM
cana-3480	95	81	-1	-1	SYM
cana-3480	95	82	1	1	NUM
cana-3480	95	83	-1	-1	SYM
cana-3480	95	84	1	1	NUM
cana-3480	95	85	0	0	NUM
cana-3480	95	86	1	1	NUM
cana-3480	95	87	-1	-1	SYM
cana-3480	95	88	1	1	NUM
cana-3480	95	89	-1	-1	SYM
cana-3480	95	90	0	0	NUM
cana-3480	95	91	1	1	NUM
cana-3480	95	92	-1	-1	SYM
cana-3480	95	93	1	1	NUM
cana-3480	95	94	-1	-1	NOUN
cana-3480	95	95	communications	communication	NOUN
cana-3480	95	96	on	on	ADP
cana-3480	95	97	applied	apply	VERB
cana-3480	95	98	nonlinear	nonlinear	ADJ
cana-3480	95	99	analysis	analysis	NOUN
cana-3480	95	100	issn	issn	NOUN
cana-3480	95	101	:	:	PUNCT
cana-3480	95	102	1074	1074	NUM
cana-3480	95	103	-	-	PUNCT
cana-3480	95	104	133x	133x	NUM
cana-3480	95	105	vol	vol	NOUN
cana-3480	95	106	32	32	NUM
cana-3480	95	107	no	no	NOUN
cana-3480	95	108	.	.	PUNCT
cana-3480	96	1	7s	7	NOUN
cana-3480	96	2	(	(	PUNCT
cana-3480	96	3	2025	2025	NUM
cana-3480	96	4	)	)	PUNCT
cana-3480	96	5	750	750	NUM
cana-3480	96	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3480	96	7	b	b	X
cana-3480	96	8	=	=	PRON
cana-3480	96	9	convert	convert	VERB
cana-3480	96	10	the	the	DET
cana-3480	96	11	elements	element	NOUN
cana-3480	96	12	of	of	ADP
cana-3480	96	13	the	the	DET
cana-3480	96	14	above	above	ADJ
cana-3480	96	15	matrix	matrix	NOUN
cana-3480	96	16	row	row	NOUN
cana-3480	96	17	-	-	PUNCT
cana-3480	96	18	wise	wise	ADJ
cana-3480	96	19	into	into	ADP
cana-3480	96	20	the	the	DET
cana-3480	96	21	form	form	NOUN
cana-3480	96	22	of	of	ADP
cana-3480	96	23	a	a	DET
cana-3480	96	24	list	list	NOUN
cana-3480	96	25	as	as	ADP
cana-3480	96	26	below	below	ADP
cana-3480	96	27	[	[	PUNCT
cana-3480	96	28	11	11	NUM
cana-3480	96	29	3	3	NUM
cana-3480	96	30	18	18	NUM
cana-3480	96	31	9	9	NUM
cana-3480	96	32	6	6	NUM
cana-3480	96	33	9	9	NUM
cana-3480	96	34	5	5	NUM
cana-3480	96	35	16	16	NUM
cana-3480	96	36	10	10	NUM
cana-3480	96	37	7	7	NUM
cana-3480	96	38	11	11	NUM
cana-3480	96	39	3	3	NUM
cana-3480	96	40	18	18	NUM
cana-3480	96	41	8	8	NUM
cana-3480	96	42	5	5	NUM
cana-3480	96	43	9	9	NUM
cana-3480	96	44	5	5	NUM
cana-3480	96	45	16	16	NUM
cana-3480	96	46	10	10	NUM
cana-3480	96	47	7	7	NUM
cana-3480	96	48	11	11	NUM
cana-3480	96	49	3	3	NUM
cana-3480	96	50	18	18	NUM
cana-3480	96	51	8	8	NUM
cana-3480	96	52	5	5	NUM
cana-3480	96	53	]	]	PUNCT
cana-3480	96	54	in	in	ADP
cana-3480	96	55	the	the	DET
cana-3480	96	56	above	above	ADJ
cana-3480	96	57	code	code	NOUN
cana-3480	96	58	,	,	PUNCT
cana-3480	96	59	replace	replace	VERB
cana-3480	96	60	the	the	DET
cana-3480	96	61	number	number	NOUN
cana-3480	96	62	which	which	PRON
cana-3480	96	63	is	be	AUX
cana-3480	96	64	more	more	ADJ
cana-3480	96	65	than	than	ADP
cana-3480	96	66	10	10	NUM
cana-3480	96	67	or	or	CCONJ
cana-3480	96	68	10	10	NUM
cana-3480	96	69	with	with	ADP
cana-3480	96	70	an	an	DET
cana-3480	96	71	alphabet	alphabet	NOUN
cana-3480	96	72	from	from	ADP
cana-3480	96	73	the	the	DET
cana-3480	96	74	standard	standard	ADJ
cana-3480	96	75	table	table	NOUN
cana-3480	96	76	.	.	PUNCT
cana-3480	97	1	[	[	PUNCT
cana-3480	97	2	l	l	NOUN
cana-3480	97	3	3	3	NUM
cana-3480	97	4	s	s	NOUN
cana-3480	97	5	9	9	NUM
cana-3480	97	6	6	6	NUM
cana-3480	97	7	9	9	NUM
cana-3480	97	8	5	5	NUM
cana-3480	97	9	q	q	NOUN
cana-3480	97	10	k	k	PROPN
cana-3480	97	11	7	7	NUM
cana-3480	97	12	l	l	NOUN
cana-3480	97	13	3	3	NUM
cana-3480	97	14	s	s	NOUN
cana-3480	97	15	8	8	NUM
cana-3480	97	16	5	5	NUM
cana-3480	97	17	9	9	NUM
cana-3480	97	18	5	5	NUM
cana-3480	97	19	q	q	NOUN
cana-3480	97	20	k	k	PROPN
cana-3480	97	21	7	7	NUM
cana-3480	97	22	l	l	NOUN
cana-3480	97	23	3	3	NUM
cana-3480	97	24	s	s	NOUN
cana-3480	97	25	8	8	NUM
cana-3480	97	26	5	5	NUM
cana-3480	97	27	]	]	PUNCT
cana-3480	97	28	send	send	VERB
cana-3480	97	29	this	this	DET
cana-3480	97	30	code	code	NOUN
cana-3480	97	31	to	to	ADP
cana-3480	97	32	the	the	DET
cana-3480	97	33	receiver	receiver	NOUN
cana-3480	97	34	and	and	CCONJ
cana-3480	97	35	the	the	DET
cana-3480	97	36	key	key	ADJ
cana-3480	97	37	-	-	PUNCT
cana-3480	97	38	value	value	NOUN
cana-3480	97	39	graph	graph	NOUN
cana-3480	97	40	along	along	ADP
cana-3480	97	41	with	with	ADP
cana-3480	97	42	the	the	DET
cana-3480	97	43	key	key	ADJ
cana-3480	97	44	operation	operation	NOUN
cana-3480	97	45	n.v.+	n.v.+	X
cana-3480	98	1	9	9	NUM
cana-3480	98	2	(	(	PUNCT
cana-3480	98	3	mod26	mod26	ADJ
cana-3480	98	4	)	)	PUNCT
cana-3480	98	5	.	.	PUNCT
cana-3480	99	1	also	also	ADV
cana-3480	99	2	,	,	PUNCT
cana-3480	99	3	inform	inform	VERB
cana-3480	99	4	the	the	DET
cana-3480	99	5	receiver	receiver	NOUN
cana-3480	99	6	that	that	PRON
cana-3480	99	7	the	the	DET
cana-3480	99	8	positions	position	NOUN
cana-3480	99	9	to	to	PART
cana-3480	99	10	be	be	AUX
cana-3480	99	11	considered	consider	VERB
cana-3480	99	12	are	be	AUX
cana-3480	99	13	the	the	DET
cana-3480	99	14	2nd	2nd	ADJ
cana-3480	99	15	and	and	CCONJ
cana-3480	99	16	4th	4th	ADJ
cana-3480	99	17	.	.	PUNCT
cana-3480	100	1	decryption	decryption	NOUN
cana-3480	100	2	convert	convert	VERB
cana-3480	100	3	the	the	DET
cana-3480	100	4	alphabet	alphabet	NOUN
cana-3480	100	5	into	into	ADP
cana-3480	100	6	its	its	PRON
cana-3480	100	7	numerical	numerical	ADJ
cana-3480	100	8	value	value	NOUN
cana-3480	100	9	from	from	ADP
cana-3480	100	10	the	the	DET
cana-3480	100	11	standard	standard	ADJ
cana-3480	100	12	table	table	NOUN
cana-3480	100	13	as	as	SCONJ
cana-3480	100	14	shown	show	VERB
cana-3480	100	15	below	below	ADV
cana-3480	100	16	.	.	PUNCT
cana-3480	101	1	also	also	ADV
cana-3480	101	2	construct	construct	VERB
cana-3480	101	3	the	the	DET
cana-3480	101	4	adjacency	adjacency	NOUN
cana-3480	101	5	matrix	matrix	NOUN
cana-3480	101	6	from	from	ADP
cana-3480	101	7	the	the	DET
cana-3480	101	8	key	key	ADJ
cana-3480	101	9	-	-	PUNCT
cana-3480	101	10	value	value	NOUN
cana-3480	101	11	graph	graph	NOUN
cana-3480	101	12	.	.	PUNCT
cana-3480	102	1	let	let	VERB
cana-3480	102	2	c	c	NOUN
cana-3480	102	3	be	be	AUX
cana-3480	102	4	that	that	DET
cana-3480	102	5	matrix	matrix	NOUN
cana-3480	102	6	[	[	PUNCT
cana-3480	102	7	11	11	NUM
cana-3480	102	8	3	3	NUM
cana-3480	102	9	18	18	NUM
cana-3480	102	10	9	9	NUM
cana-3480	102	11	6	6	NUM
cana-3480	102	12	9	9	NUM
cana-3480	102	13	5	5	NUM
cana-3480	102	14	16	16	NUM
cana-3480	102	15	10	10	NUM
cana-3480	102	16	7	7	NUM
cana-3480	102	17	11	11	NUM
cana-3480	102	18	3	3	NUM
cana-3480	102	19	18	18	NUM
cana-3480	102	20	8	8	NUM
cana-3480	102	21	5	5	NUM
cana-3480	102	22	9	9	NUM
cana-3480	102	23	5	5	NUM
cana-3480	102	24	16	16	NUM
cana-3480	102	25	10	10	NUM
cana-3480	102	26	7	7	NUM
cana-3480	102	27	11	11	NUM
cana-3480	102	28	3	3	NUM
cana-3480	102	29	18	18	NUM
cana-3480	102	30	8	8	NUM
cana-3480	102	31	5	5	NUM
cana-3480	102	32	]	]	PUNCT
cana-3480	102	33	c	c	NOUN
cana-3480	102	34	=	=	PRON
cana-3480	102	35	organize	organize	VERB
cana-3480	102	36	the	the	DET
cana-3480	102	37	above	above	ADJ
cana-3480	102	38	code	code	NOUN
cana-3480	102	39	into	into	ADP
cana-3480	102	40	a	a	DET
cana-3480	102	41	5x5	5x5	NUM
cana-3480	102	42	matrix	matrix	NOUN
cana-3480	102	43	.	.	PUNCT
cana-3480	103	1	let	let	VERB
cana-3480	103	2	d	d	NOUN
cana-3480	103	3	be	be	AUX
cana-3480	103	4	that	that	DET
cana-3480	103	5	matrix	matrix	NOUN
cana-3480	103	6	11	11	NUM
cana-3480	103	7	9	9	NUM
cana-3480	103	8	11	11	NUM
cana-3480	103	9	9	9	NUM
cana-3480	103	10	11	11	NUM
cana-3480	103	11	3	3	NUM
cana-3480	103	12	5	5	NUM
cana-3480	103	13	3	3	NUM
cana-3480	103	14	5	5	NUM
cana-3480	103	15	3	3	NUM
cana-3480	103	16	18	18	NUM
cana-3480	103	17	16	16	NUM
cana-3480	103	18	18	18	NUM
cana-3480	103	19	16	16	NUM
cana-3480	103	20	18	18	NUM
cana-3480	103	21	9	9	NUM
cana-3480	103	22	10	10	NUM
cana-3480	103	23	8	8	NUM
cana-3480	103	24	10	10	NUM
cana-3480	103	25	8	8	NUM
cana-3480	103	26	6	6	NUM
cana-3480	103	27	7	7	NUM
cana-3480	103	28	5	5	NUM
cana-3480	103	29	7	7	NUM
cana-3480	103	30	5	5	NUM
cana-3480	103	31	a1	a1	NOUN
cana-3480	103	32	a2	a2	PROPN
cana-3480	103	33	a3	a3	PROPN
cana-3480	103	34	a4	a4	PROPN
cana-3480	103	35	a5	a5	NOUN
cana-3480	103	36	a1	a1	NOUN
cana-3480	103	37	1	1	NUM
cana-3480	103	38	0	0	NUM
cana-3480	103	39	1	1	NUM
cana-3480	103	40	1	1	NUM
cana-3480	103	41	0	0	NUM
cana-3480	103	42	a2	a2	PROPN
cana-3480	103	43	0	0	NUM
cana-3480	103	44	1	1	NUM
cana-3480	103	45	0	0	NUM
cana-3480	103	46	1	1	NUM
cana-3480	103	47	1	1	NUM
cana-3480	103	48	a3	a3	NOUN
cana-3480	103	49	1	1	NUM
cana-3480	103	50	0	0	NUM
cana-3480	103	51	1	1	NUM
cana-3480	103	52	0	0	NUM
cana-3480	103	53	1	1	NUM
cana-3480	103	54	a4	a4	NUM
cana-3480	103	55	1	1	NUM
cana-3480	103	56	1	1	NUM
cana-3480	103	57	0	0	NUM
cana-3480	103	58	1	1	NUM
cana-3480	103	59	0	0	NUM
cana-3480	103	60	a5	a5	NOUN
cana-3480	103	61	0	0	NUM
cana-3480	103	62	1	1	NUM
cana-3480	103	63	1	1	NUM
cana-3480	103	64	0	0	NUM
cana-3480	103	65	1	1	NUM
cana-3480	103	66	communications	communication	NOUN
cana-3480	103	67	on	on	ADP
cana-3480	103	68	applied	apply	VERB
cana-3480	103	69	nonlinear	nonlinear	ADJ
cana-3480	103	70	analysis	analysis	NOUN
cana-3480	103	71	issn	issn	NOUN
cana-3480	103	72	:	:	PUNCT
cana-3480	103	73	1074	1074	NUM
cana-3480	103	74	-	-	PUNCT
cana-3480	103	75	133x	133x	NUM
cana-3480	103	76	vol	vol	NOUN
cana-3480	103	77	32	32	NUM
cana-3480	103	78	no	no	NOUN
cana-3480	103	79	.	.	PUNCT
cana-3480	104	1	7s	7	NOUN
cana-3480	104	2	(	(	PUNCT
cana-3480	104	3	2025	2025	NUM
cana-3480	104	4	)	)	PUNCT
cana-3480	104	5	751	751	NUM
cana-3480	105	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3480	105	2	d	d	NOUN
cana-3480	105	3	=	=	PRON
cana-3480	105	4	find	find	VERB
cana-3480	105	5	the	the	DET
cana-3480	105	6	adjoint	adjoint	NOUN
cana-3480	105	7	matrix	matrix	NOUN
cana-3480	105	8	of	of	ADP
cana-3480	105	9	the	the	DET
cana-3480	105	10	above	above	ADJ
cana-3480	105	11	obtained	obtain	VERB
cana-3480	105	12	matrix	matrix	NOUN
cana-3480	105	13	c	c	NOUN
cana-3480	105	14	adj(c	adj(c	PROPN
cana-3480	105	15	)	)	PUNCT
cana-3480	105	16	=	=	VERB
cana-3480	105	17	now	now	ADV
cana-3480	105	18	perform	perform	VERB
cana-3480	105	19	the	the	DET
cana-3480	105	20	subtraction	subtraction	NOUN
cana-3480	105	21	i.e.	i.e.	X
cana-3480	105	22	matrix	matrix	NOUN
cana-3480	105	23	d	d	X
cana-3480	105	24	adj(c	adj(c	PROPN
cana-3480	105	25	)	)	PUNCT
cana-3480	105	26	.	.	PUNCT
cana-3480	106	1	let	let	VERB
cana-3480	106	2	the	the	DET
cana-3480	106	3	obtained	obtain	VERB
cana-3480	106	4	matrix	matrix	NOUN
cana-3480	106	5	be	be	AUX
cana-3480	106	6	e	e	NOUN
cana-3480	106	7	e	e	NOUN
cana-3480	106	8	=	=	PUNCT
cana-3480	106	9	now	now	ADV
cana-3480	106	10	,	,	PUNCT
cana-3480	106	11	extract	extract	VERB
cana-3480	106	12	the	the	DET
cana-3480	106	13	common	common	ADJ
cana-3480	106	14	numbers	number	NOUN
cana-3480	106	15	from	from	ADP
cana-3480	106	16	each	each	DET
cana-3480	106	17	column	column	NOUN
cana-3480	106	18	.	.	PUNCT
cana-3480	107	1	the	the	DET
cana-3480	107	2	numbers	number	NOUN
cana-3480	107	3	are	be	AUX
cana-3480	107	4	:	:	PUNCT
cana-3480	107	5	[	[	PUNCT
cana-3480	107	6	10	10	NUM
cana-3480	107	7	4	4	NUM
cana-3480	107	8	17	17	NUM
cana-3480	107	9	9	9	NUM
cana-3480	107	10	6	6	NUM
cana-3480	107	11	]	]	PUNCT
cana-3480	107	12	apply	apply	VERB
cana-3480	107	13	the	the	DET
cana-3480	107	14	key	key	ADJ
cana-3480	107	15	operation	operation	NOUN
cana-3480	107	16	:	:	PUNCT
cana-3480	107	17	n.v	n.v	X
cana-3480	107	18	.	.	PUNCT
cana-3480	108	1	+	+	CCONJ
cana-3480	108	2	9	9	NUM
cana-3480	108	3	(	(	PUNCT
cana-3480	108	4	mod	mod	NOUN
cana-3480	108	5	26	26	NUM
cana-3480	108	6	)	)	PUNCT
cana-3480	108	7	and	and	CCONJ
cana-3480	108	8	refer	refer	VERB
cana-3480	108	9	to	to	ADP
cana-3480	108	10	the	the	DET
cana-3480	108	11	standard	standard	ADJ
cana-3480	108	12	table	table	NOUN
cana-3480	108	13	to	to	PART
cana-3480	108	14	determine	determine	VERB
cana-3480	108	15	the	the	DET
cana-3480	108	16	value	value	NOUN
cana-3480	108	17	.	.	PUNCT
cana-3480	109	1	note	note	VERB
cana-3480	109	2	that	that	SCONJ
cana-3480	109	3	since	since	SCONJ
cana-3480	109	4	the	the	DET
cana-3480	109	5	positions	position	NOUN
cana-3480	109	6	are	be	AUX
cana-3480	109	7	the	the	DET
cana-3480	109	8	2nd	2nd	ADJ
cana-3480	109	9	and	and	CCONJ
cana-3480	109	10	4th	4th	ADJ
cana-3480	109	11	,	,	PUNCT
cana-3480	109	12	this	this	DET
cana-3480	109	13	operation	operation	NOUN
cana-3480	109	14	will	will	AUX
cana-3480	109	15	not	not	PART
cana-3480	109	16	be	be	AUX
cana-3480	109	17	applied	apply	VERB
cana-3480	109	18	to	to	ADP
cana-3480	109	19	the	the	DET
cana-3480	109	20	digits	digit	NOUN
cana-3480	109	21	in	in	ADP
cana-3480	109	22	these	these	DET
cana-3480	109	23	locations	location	NOUN
cana-3480	109	24	.	.	PUNCT
cana-3480	110	1	consequently	consequently	ADV
cana-3480	110	2	,	,	PUNCT
cana-3480	110	3	the	the	DET
cana-3480	110	4	original	original	ADJ
cana-3480	110	5	message	message	NOUN
cana-3480	110	6	is	be	AUX
cana-3480	110	7	revealed	reveal	VERB
cana-3480	110	8	as	as	ADP
cana-3480	110	9	:	:	PUNCT
cana-3480	110	10	“	"	PUNCT
cana-3480	110	11	t	t	X
cana-3480	110	12	4	4	NUM
cana-3480	110	13	a	a	DET
cana-3480	110	14	9	9	NUM
cana-3480	110	15	p	p	NOUN
cana-3480	110	16	”	"	PUNCT
cana-3480	110	17	11	11	NUM
cana-3480	110	18	9	9	NUM
cana-3480	110	19	11	11	NUM
cana-3480	110	20	9	9	NUM
cana-3480	110	21	11	11	NUM
cana-3480	110	22	3	3	NUM
cana-3480	110	23	5	5	NUM
cana-3480	110	24	3	3	NUM
cana-3480	110	25	5	5	NUM
cana-3480	110	26	3	3	NUM
cana-3480	110	27	18	18	NUM
cana-3480	110	28	16	16	NUM
cana-3480	110	29	18	18	NUM
cana-3480	110	30	16	16	NUM
cana-3480	110	31	18	18	NUM
cana-3480	110	32	9	9	NUM
cana-3480	110	33	10	10	NUM
cana-3480	110	34	8	8	NUM
cana-3480	110	35	10	10	NUM
cana-3480	110	36	8	8	NUM
cana-3480	110	37	6	6	NUM
cana-3480	110	38	7	7	NUM
cana-3480	110	39	5	5	NUM
cana-3480	110	40	7	7	NUM
cana-3480	110	41	5	5	NUM
cana-3480	110	42	1	1	NUM
cana-3480	110	43	-1	-1	SYM
cana-3480	110	44	1	1	NUM
cana-3480	110	45	-1	-1	SYM
cana-3480	110	46	1	1	NUM
cana-3480	110	47	-1	-1	SYM
cana-3480	110	48	1	1	NUM
cana-3480	110	49	-1	-1	SYM
cana-3480	110	50	1	1	NUM
cana-3480	110	51	-1	-1	SYM
cana-3480	110	52	1	1	NUM
cana-3480	110	53	-1	-1	SYM
cana-3480	110	54	1	1	NUM
cana-3480	110	55	-1	-1	SYM
cana-3480	110	56	1	1	NUM
cana-3480	110	57	0	0	NUM
cana-3480	110	58	1	1	NUM
cana-3480	110	59	-1	-1	SYM
cana-3480	110	60	1	1	NUM
cana-3480	110	61	-1	-1	SYM
cana-3480	110	62	0	0	NUM
cana-3480	110	63	1	1	NUM
cana-3480	110	64	-1	-1	SYM
cana-3480	110	65	1	1	NUM
cana-3480	110	66	-1	-1	SYM
cana-3480	110	67	10	10	NUM
cana-3480	110	68	10	10	NUM
cana-3480	110	69	10	10	NUM
cana-3480	110	70	10	10	NUM
cana-3480	110	71	10	10	NUM
cana-3480	110	72	4	4	NUM
cana-3480	110	73	4	4	NUM
cana-3480	110	74	4	4	NUM
cana-3480	110	75	4	4	NUM
cana-3480	110	76	4	4	NUM
cana-3480	110	77	17	17	NUM
cana-3480	110	78	17	17	NUM
cana-3480	110	79	17	17	NUM
cana-3480	110	80	17	17	NUM
cana-3480	110	81	17	17	NUM
cana-3480	110	82	9	9	NUM
cana-3480	110	83	9	9	NUM
cana-3480	110	84	9	9	NUM
cana-3480	110	85	9	9	NUM
cana-3480	110	86	9	9	NUM
cana-3480	110	87	6	6	NUM
cana-3480	110	88	6	6	NUM
cana-3480	110	89	6	6	NUM
cana-3480	110	90	6	6	NUM
cana-3480	110	91	6	6	NUM
cana-3480	110	92	communications	communication	NOUN
cana-3480	110	93	on	on	ADP
cana-3480	110	94	applied	apply	VERB
cana-3480	110	95	nonlinear	nonlinear	ADJ
cana-3480	110	96	analysis	analysis	NOUN
cana-3480	110	97	issn	issn	NOUN
cana-3480	110	98	:	:	PUNCT
cana-3480	110	99	1074	1074	NUM
cana-3480	110	100	-	-	PUNCT
cana-3480	110	101	133x	133x	NUM
cana-3480	110	102	vol	vol	NOUN
cana-3480	110	103	32	32	NUM
cana-3480	110	104	no	no	NOUN
cana-3480	110	105	.	.	PUNCT
cana-3480	111	1	7s	7	NOUN
cana-3480	111	2	(	(	PUNCT
cana-3480	111	3	2025	2025	NUM
cana-3480	111	4	)	)	PUNCT
cana-3480	111	5	752	752	NUM
cana-3480	111	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3480	111	7	case	case	NOUN
cana-3480	111	8	iialgorithm	iialgorithm	NOUN
cana-3480	111	9	for	for	ADP
cana-3480	111	10	encryption	encryption	NOUN
cana-3480	111	11	and	and	CCONJ
cana-3480	111	12	decryption	decryption	NOUN
cana-3480	111	13	for	for	ADP
cana-3480	111	14	a	a	DET
cana-3480	111	15	sentence	sentence	NOUN
cana-3480	111	16	message	message	NOUN
cana-3480	111	17	.	.	PUNCT
cana-3480	112	1	the	the	DET
cana-3480	112	2	message	message	NOUN
cana-3480	112	3	will	will	AUX
cana-3480	112	4	be	be	AUX
cana-3480	112	5	encrypted	encrypt	VERB
cana-3480	112	6	using	use	VERB
cana-3480	112	7	the	the	DET
cana-3480	112	8	complement	complement	NOUN
cana-3480	112	9	graph	graph	NOUN
cana-3480	112	10	,	,	PUNCT
cana-3480	112	11	matrix	matrix	NOUN
cana-3480	112	12	of	of	ADP
cana-3480	112	13	disjoint	disjoint	NOUN
cana-3480	112	14	graphs	graph	NOUN
cana-3480	112	15	and	and	CCONJ
cana-3480	112	16	the	the	DET
cana-3480	112	17	adjoint	adjoint	NOUN
cana-3480	112	18	of	of	ADP
cana-3480	112	19	a	a	DET
cana-3480	112	20	matrix	matrix	NOUN
cana-3480	112	21	.	.	PUNCT
cana-3480	113	1	the	the	DET
cana-3480	113	2	space	space	NOUN
cana-3480	113	3	between	between	ADP
cana-3480	113	4	the	the	DET
cana-3480	113	5	words	word	NOUN
cana-3480	113	6	is	be	AUX
cana-3480	113	7	always	always	ADV
cana-3480	113	8	considered	consider	VERB
cana-3480	113	9	to	to	PART
cana-3480	113	10	be	be	AUX
cana-3480	113	11	zero	zero	NUM
cana-3480	113	12	and	and	CCONJ
cana-3480	113	13	no	no	DET
cana-3480	113	14	operation	operation	NOUN
cana-3480	113	15	needs	need	VERB
cana-3480	113	16	to	to	PART
cana-3480	113	17	be	be	AUX
cana-3480	113	18	performed	perform	VERB
cana-3480	113	19	for	for	ADP
cana-3480	113	20	the	the	DET
cana-3480	113	21	space	space	NOUN
cana-3480	113	22	value	value	NOUN
cana-3480	113	23	zero	zero	NUM
cana-3480	113	24	during	during	ADP
cana-3480	113	25	the	the	DET
cana-3480	113	26	encryption	encryption	NOUN
cana-3480	113	27	and	and	CCONJ
cana-3480	113	28	decryption	decryption	NOUN
cana-3480	113	29	process	process	NOUN
cana-3480	113	30	.	.	PUNCT
cana-3480	114	1	the	the	DET
cana-3480	114	2	message	message	NOUN
cana-3480	114	3	will	will	AUX
cana-3480	114	4	contain	contain	VERB
cana-3480	114	5	only	only	ADJ
cana-3480	114	6	alphabets	alphabet	NOUN
cana-3480	114	7	.	.	PUNCT
cana-3480	115	1	the	the	DET
cana-3480	115	2	secret	secret	PROPN
cana-3480	115	3	code	code	NOUN
cana-3480	115	4	required	require	VERB
cana-3480	115	5	for	for	ADP
cana-3480	115	6	decryption	decryption	NOUN
cana-3480	115	7	will	will	AUX
cana-3480	115	8	be	be	AUX
cana-3480	115	9	securely	securely	ADV
cana-3480	115	10	sent	send	VERB
cana-3480	115	11	to	to	ADP
cana-3480	115	12	the	the	DET
cana-3480	115	13	receiver	receiver	NOUN
cana-3480	115	14	,	,	PUNCT
cana-3480	115	15	ensuring	ensure	VERB
cana-3480	115	16	that	that	SCONJ
cana-3480	115	17	only	only	ADV
cana-3480	115	18	the	the	DET
cana-3480	115	19	intended	intend	VERB
cana-3480	115	20	recipient	recipient	NOUN
cana-3480	115	21	can	can	AUX
cana-3480	115	22	access	access	VERB
cana-3480	115	23	the	the	DET
cana-3480	115	24	original	original	ADJ
cana-3480	115	25	message	message	NOUN
cana-3480	115	26	.	.	PUNCT
cana-3480	116	1	algorithm	algorithm	NOUN
cana-3480	116	2	for	for	ADP
cana-3480	116	3	encryption	encryption	NOUN
cana-3480	116	4	:	:	PUNCT
cana-3480	116	5	to	to	PART
cana-3480	116	6	initiate	initiate	VERB
cana-3480	116	7	the	the	DET
cana-3480	116	8	encryption	encryption	NOUN
cana-3480	116	9	algorithm	algorithm	NOUN
cana-3480	116	10	,	,	PUNCT
cana-3480	116	11	follow	follow	VERB
cana-3480	116	12	the	the	DET
cana-3480	116	13	following	follow	VERB
cana-3480	116	14	steps	step	NOUN
cana-3480	116	15	1	1	NUM
cana-3480	116	16	.	.	PUNCT
cana-3480	116	17	convert	convert	VERB
cana-3480	116	18	each	each	DET
cana-3480	116	19	and	and	CCONJ
cana-3480	116	20	every	every	PRON
cana-3480	116	21	alphabet	alphabet	NOUN
cana-3480	116	22	into	into	ADP
cana-3480	116	23	its	its	PRON
cana-3480	116	24	ascii	ascii	NOUN
cana-3480	116	25	value	value	NOUN
cana-3480	116	26	and	and	CCONJ
cana-3480	116	27	consider	consider	VERB
cana-3480	116	28	the	the	DET
cana-3480	116	29	space	space	NOUN
cana-3480	116	30	between	between	ADP
cana-3480	116	31	the	the	DET
cana-3480	116	32	words	word	NOUN
cana-3480	116	33	as	as	ADP
cana-3480	116	34	zero	zero	NUM
cana-3480	116	35	.	.	PUNCT
cana-3480	117	1	2	2	NUM
cana-3480	117	2	.	.	X
cana-3480	117	3	apply	apply	VERB
cana-3480	117	4	the	the	DET
cana-3480	117	5	shift	shift	NOUN
cana-3480	117	6	cipher	cipher	ADJ
cana-3480	117	7	as	as	ADP
cana-3480	117	8	(	(	PUNCT
cana-3480	117	9	numerical	numerical	ADJ
cana-3480	117	10	value	value	NOUN
cana-3480	117	11	+	+	CCONJ
cana-3480	117	12	4)mod26	4)mod26	NUM
cana-3480	117	13	except	except	SCONJ
cana-3480	117	14	for	for	ADP
cana-3480	117	15	the	the	DET
cana-3480	117	16	space	space	NOUN
cana-3480	117	17	value	value	NOUN
cana-3480	117	18	which	which	PRON
cana-3480	117	19	is	be	AUX
cana-3480	117	20	zero	zero	NUM
cana-3480	117	21	.	.	PUNCT
cana-3480	118	1	3	3	X
cana-3480	118	2	.	.	X
cana-3480	118	3	let	let	VERB
cana-3480	118	4	a1	a1	NOUN
cana-3480	118	5	,	,	PUNCT
cana-3480	118	6	a2	a2	PROPN
cana-3480	118	7	,	,	PUNCT
cana-3480	118	8	a3	a3	NOUN
cana-3480	118	9	,	,	PUNCT
cana-3480	118	10	…	…	PUNCT
cana-3480	118	11	……	……	NOUN
cana-3480	118	12	.	.	NOUN
cana-3480	118	13	,	,	PUNCT
cana-3480	118	14	an	an	DET
cana-3480	118	15	be	be	AUX
cana-3480	118	16	the	the	DET
cana-3480	118	17	variables	variable	NOUN
cana-3480	118	18	assigned	assign	VERB
cana-3480	118	19	to	to	ADP
cana-3480	118	20	the	the	DET
cana-3480	118	21	values	value	NOUN
cana-3480	118	22	.	.	PUNCT
cana-3480	119	1	4	4	X
cana-3480	119	2	.	.	X
cana-3480	119	3	for	for	ADP
cana-3480	119	4	each	each	DET
cana-3480	119	5	word	word	NOUN
cana-3480	119	6	in	in	ADP
cana-3480	119	7	the	the	DET
cana-3480	119	8	sentence	sentence	NOUN
cana-3480	119	9	,	,	PUNCT
cana-3480	119	10	construct	construct	VERB
cana-3480	119	11	a	a	DET
cana-3480	119	12	complete	complete	ADJ
cana-3480	119	13	graph	graph	NOUN
cana-3480	119	14	with	with	ADP
cana-3480	119	15	a	a	DET
cana-3480	119	16	number	number	NOUN
cana-3480	119	17	of	of	ADP
cana-3480	119	18	vertices	vertex	NOUN
cana-3480	119	19	equal	equal	ADJ
cana-3480	119	20	to	to	ADP
cana-3480	119	21	the	the	DET
cana-3480	119	22	number	number	NOUN
cana-3480	119	23	of	of	ADP
cana-3480	119	24	letters	letter	NOUN
cana-3480	119	25	in	in	ADP
cana-3480	119	26	the	the	DET
cana-3480	119	27	word	word	NOUN
cana-3480	119	28	.	.	PUNCT
cana-3480	120	1	5	5	X
cana-3480	120	2	.	.	X
cana-3480	120	3	next	next	ADV
cana-3480	120	4	,	,	PUNCT
cana-3480	120	5	determine	determine	VERB
cana-3480	120	6	the	the	DET
cana-3480	120	7	complement	complement	NOUN
cana-3480	120	8	graphs	graph	NOUN
cana-3480	120	9	for	for	ADP
cana-3480	120	10	each	each	DET
cana-3480	120	11	complete	complete	ADJ
cana-3480	120	12	graph	graph	NOUN
cana-3480	120	13	formed	form	VERB
cana-3480	120	14	in	in	ADP
cana-3480	120	15	the	the	DET
cana-3480	120	16	previous	previous	ADJ
cana-3480	120	17	step	step	NOUN
cana-3480	120	18	.	.	PUNCT
cana-3480	121	1	these	these	PRON
cana-3480	121	2	are	be	AUX
cana-3480	121	3	key	key	ADJ
cana-3480	121	4	-	-	PUNCT
cana-3480	121	5	value	value	NOUN
cana-3480	121	6	graphs	graph	NOUN
cana-3480	121	7	and	and	CCONJ
cana-3480	121	8	will	will	AUX
cana-3480	121	9	be	be	AUX
cana-3480	121	10	kept	keep	VERB
cana-3480	121	11	for	for	ADP
cana-3480	121	12	future	future	ADJ
cana-3480	121	13	use	use	NOUN
cana-3480	121	14	.	.	PUNCT
cana-3480	122	1	6	6	X
cana-3480	122	2	.	.	X
cana-3480	122	3	determine	determine	VERB
cana-3480	122	4	the	the	DET
cana-3480	122	5	adjacency	adjacency	NOUN
cana-3480	122	6	matrix	matrix	NOUN
cana-3480	122	7	for	for	ADP
cana-3480	122	8	each	each	DET
cana-3480	122	9	complement	complement	NOUN
cana-3480	122	10	graph	graph	NOUN
cana-3480	122	11	formed	form	VERB
cana-3480	122	12	in	in	ADP
cana-3480	122	13	the	the	DET
cana-3480	122	14	previous	previous	ADJ
cana-3480	122	15	step	step	NOUN
cana-3480	122	16	.	.	PUNCT
cana-3480	123	1	7	7	X
cana-3480	123	2	.	.	X
cana-3480	123	3	now	now	ADV
cana-3480	123	4	,	,	PUNCT
cana-3480	123	5	combine	combine	VERB
cana-3480	123	6	all	all	DET
cana-3480	123	7	the	the	DET
cana-3480	123	8	adjacency	adjacency	NOUN
cana-3480	123	9	matrices	matrice	VERB
cana-3480	123	10	into	into	ADP
cana-3480	123	11	a	a	DET
cana-3480	123	12	single	single	ADJ
cana-3480	123	13	square	square	ADJ
cana-3480	123	14	matrix	matrix	NOUN
cana-3480	123	15	,	,	PUNCT
cana-3480	123	16	resulting	result	VERB
cana-3480	123	17	in	in	ADP
cana-3480	123	18	a	a	DET
cana-3480	123	19	new	new	ADJ
cana-3480	123	20	matrix	matrix	NOUN
cana-3480	123	21	that	that	PRON
cana-3480	123	22	represents	represent	VERB
cana-3480	123	23	the	the	DET
cana-3480	123	24	disjoint	disjoint	NOUN
cana-3480	123	25	graphs	graph	NOUN
cana-3480	123	26	.	.	PUNCT
cana-3480	124	1	8	8	X
cana-3480	124	2	.	.	X
cana-3480	124	3	determine	determine	VERB
cana-3480	124	4	the	the	DET
cana-3480	124	5	adjoint	adjoint	NOUN
cana-3480	124	6	matrix	matrix	NOUN
cana-3480	124	7	of	of	ADP
cana-3480	124	8	the	the	DET
cana-3480	124	9	resulting	result	VERB
cana-3480	124	10	matrix	matrix	NOUN
cana-3480	124	11	from	from	ADP
cana-3480	124	12	the	the	DET
cana-3480	124	13	previous	previous	ADJ
cana-3480	124	14	step	step	NOUN
cana-3480	124	15	.	.	PUNCT
cana-3480	125	1	9	9	X
cana-3480	125	2	.	.	X
cana-3480	125	3	add	add	VERB
cana-3480	125	4	a1	a1	PROPN
cana-3480	125	5	,	,	PUNCT
cana-3480	125	6	a2	a2	PROPN
cana-3480	125	7	,	,	PUNCT
cana-3480	125	8	a3	a3	NOUN
cana-3480	125	9	,	,	PUNCT
cana-3480	125	10	…	…	PUNCT
cana-3480	125	11	…	…	PUNCT
cana-3480	125	12	…	…	PUNCT
cana-3480	125	13	.	.	PUNCT
cana-3480	126	1	an	an	PRON
cana-3480	126	2	to	to	ADP
cana-3480	126	3	the	the	DET
cana-3480	126	4	1st	1st	ADJ
cana-3480	126	5	,	,	PUNCT
cana-3480	126	6	2nd	2nd	PROPN
cana-3480	126	7	,	,	PUNCT
cana-3480	126	8	..........	..........	PUNCT
cana-3480	126	9	,	,	PUNCT
cana-3480	126	10	nth	nth	NOUN
cana-3480	126	11	column	column	NOUN
cana-3480	126	12	respectively	respectively	ADV
cana-3480	126	13	of	of	ADP
cana-3480	126	14	the	the	DET
cana-3480	126	15	adjoint	adjoint	NOUN
cana-3480	126	16	matrix	matrix	NOUN
cana-3480	126	17	.	.	PUNCT
cana-3480	127	1	10	10	NUM
cana-3480	127	2	.	.	X
cana-3480	127	3	list	list	VERB
cana-3480	127	4	all	all	DET
cana-3480	127	5	the	the	DET
cana-3480	127	6	elements	element	NOUN
cana-3480	127	7	of	of	ADP
cana-3480	127	8	the	the	DET
cana-3480	127	9	matrix	matrix	NOUN
cana-3480	127	10	row	row	NOUN
cana-3480	127	11	by	by	ADP
cana-3480	127	12	row	row	NOUN
cana-3480	127	13	in	in	ADP
cana-3480	127	14	a	a	DET
cana-3480	127	15	list	list	NOUN
cana-3480	127	16	separately	separately	ADV
cana-3480	127	17	.	.	PUNCT
cana-3480	128	1	for	for	ADP
cana-3480	128	2	any	any	DET
cana-3480	128	3	number	number	NOUN
cana-3480	128	4	in	in	ADP
cana-3480	128	5	the	the	DET
cana-3480	128	6	list	list	NOUN
cana-3480	128	7	that	that	PRON
cana-3480	128	8	is	be	AUX
cana-3480	128	9	10	10	NUM
cana-3480	128	10	or	or	CCONJ
cana-3480	128	11	more	more	ADJ
cana-3480	128	12	,	,	PUNCT
cana-3480	128	13	convert	convert	VERB
cana-3480	128	14	it	it	PRON
cana-3480	128	15	to	to	ADP
cana-3480	128	16	the	the	DET
cana-3480	128	17	corresponding	corresponding	ADJ
cana-3480	128	18	alphabet	alphabet	NOUN
cana-3480	128	19	from	from	ADP
cana-3480	128	20	the	the	DET
cana-3480	128	21	standard	standard	ADJ
cana-3480	128	22	table	table	NOUN
cana-3480	128	23	.	.	PUNCT
cana-3480	129	1	11	11	NUM
cana-3480	129	2	.	.	PUNCT
cana-3480	129	3	send	send	VERB
cana-3480	129	4	the	the	DET
cana-3480	129	5	above	above	ADJ
cana-3480	129	6	list	list	NOUN
cana-3480	129	7	of	of	ADP
cana-3480	129	8	matrices	matrix	NOUN
cana-3480	129	9	along	along	ADP
cana-3480	129	10	with	with	ADP
cana-3480	129	11	the	the	DET
cana-3480	129	12	key	key	ADJ
cana-3480	129	13	-	-	PUNCT
cana-3480	129	14	value	value	NOUN
cana-3480	129	15	graphs	graph	NOUN
cana-3480	129	16	and	and	CCONJ
cana-3480	129	17	key	key	ADJ
cana-3480	129	18	operation	operation	NOUN
cana-3480	129	19	to	to	ADP
cana-3480	129	20	the	the	DET
cana-3480	129	21	receiver	receiver	NOUN
cana-3480	129	22	.	.	PUNCT
cana-3480	130	1	algorithm	algorithm	NOUN
cana-3480	130	2	for	for	ADP
cana-3480	130	3	decryption	decryption	NOUN
cana-3480	130	4	:	:	PUNCT
cana-3480	130	5	to	to	PART
cana-3480	130	6	initiate	initiate	VERB
cana-3480	130	7	the	the	DET
cana-3480	130	8	decryption	decryption	NOUN
cana-3480	130	9	algorithm	algorithm	NOUN
cana-3480	130	10	,	,	PUNCT
cana-3480	130	11	follow	follow	VERB
cana-3480	130	12	the	the	DET
cana-3480	130	13	following	follow	VERB
cana-3480	130	14	steps	step	NOUN
cana-3480	130	15	1	1	NUM
cana-3480	130	16	.	.	PUNCT
cana-3480	130	17	examine	examine	VERB
cana-3480	130	18	the	the	DET
cana-3480	130	19	code	code	NOUN
cana-3480	130	20	for	for	ADP
cana-3480	130	21	any	any	DET
cana-3480	130	22	alphabets	alphabet	NOUN
cana-3480	130	23	.	.	PUNCT
cana-3480	131	1	if	if	SCONJ
cana-3480	131	2	any	any	DET
cana-3480	131	3	alphabets	alphabet	NOUN
cana-3480	131	4	are	be	AUX
cana-3480	131	5	found	find	VERB
cana-3480	131	6	,	,	PUNCT
cana-3480	131	7	convert	convert	VERB
cana-3480	131	8	them	they	PRON
cana-3480	131	9	to	to	ADP
cana-3480	131	10	their	their	PRON
cana-3480	131	11	corresponding	corresponding	ADJ
cana-3480	131	12	numbers	number	NOUN
cana-3480	131	13	from	from	ADP
cana-3480	131	14	the	the	DET
cana-3480	131	15	standard	standard	ADJ
cana-3480	131	16	table	table	NOUN
cana-3480	131	17	.	.	PUNCT
cana-3480	132	1	also	also	ADV
cana-3480	132	2	form	form	VERB
cana-3480	132	3	the	the	DET
cana-3480	132	4	corresponding	correspond	VERB
cana-3480	132	5	adjacency	adjacency	NOUN
cana-3480	132	6	matrix	matrix	NOUN
cana-3480	132	7	from	from	ADP
cana-3480	132	8	all	all	DET
cana-3480	132	9	the	the	DET
cana-3480	132	10	key	key	ADJ
cana-3480	132	11	-	-	PUNCT
cana-3480	132	12	value	value	NOUN
cana-3480	132	13	graphs	graph	NOUN
cana-3480	132	14	.	.	PUNCT
cana-3480	133	1	2	2	X
cana-3480	133	2	.	.	X
cana-3480	133	3	organize	organize	VERB
cana-3480	133	4	the	the	DET
cana-3480	133	5	code	code	NOUN
cana-3480	133	6	into	into	ADP
cana-3480	133	7	an	an	DET
cana-3480	133	8	n	n	NOUN
cana-3480	133	9	x	x	SYM
cana-3480	133	10	n	n	PRON
cana-3480	133	11	matrix	matrix	NOUN
cana-3480	133	12	,	,	PUNCT
cana-3480	133	13	where	where	SCONJ
cana-3480	133	14	n	n	PRON
cana-3480	133	15	represents	represent	VERB
cana-3480	133	16	the	the	DET
cana-3480	133	17	number	number	NOUN
cana-3480	133	18	of	of	ADP
cana-3480	133	19	elements	element	NOUN
cana-3480	133	20	in	in	ADP
cana-3480	133	21	the	the	DET
cana-3480	133	22	code	code	NOUN
cana-3480	133	23	,	,	PUNCT
cana-3480	133	24	arranging	arrange	VERB
cana-3480	133	25	them	they	PRON
cana-3480	133	26	row	row	NOUN
cana-3480	133	27	by	by	ADP
cana-3480	133	28	row	row	NOUN
cana-3480	133	29	.	.	PUNCT
cana-3480	134	1	3	3	X
cana-3480	134	2	.	.	PUNCT
cana-3480	134	3	now	now	ADV
cana-3480	134	4	,	,	PUNCT
cana-3480	134	5	combine	combine	VERB
cana-3480	134	6	all	all	DET
cana-3480	134	7	the	the	DET
cana-3480	134	8	adjacency	adjacency	NOUN
cana-3480	134	9	matrices	matrice	VERB
cana-3480	134	10	into	into	ADP
cana-3480	134	11	a	a	DET
cana-3480	134	12	single	single	ADJ
cana-3480	134	13	disjoint	disjoint	ADJ
cana-3480	134	14	square	square	ADJ
cana-3480	134	15	matrix	matrix	NOUN
cana-3480	134	16	,	,	PUNCT
cana-3480	134	17	resulting	result	VERB
cana-3480	134	18	in	in	ADP
cana-3480	134	19	a	a	DET
cana-3480	134	20	new	new	ADJ
cana-3480	134	21	matrix	matrix	NOUN
cana-3480	134	22	that	that	PRON
cana-3480	134	23	represents	represent	VERB
cana-3480	134	24	the	the	DET
cana-3480	134	25	disjoint	disjoint	NOUN
cana-3480	134	26	graphs	graph	NOUN
cana-3480	134	27	.	.	PUNCT
cana-3480	135	1	4	4	X
cana-3480	135	2	.	.	X
cana-3480	135	3	determine	determine	VERB
cana-3480	135	4	the	the	DET
cana-3480	135	5	adjoint	adjoint	NOUN
cana-3480	135	6	matrix	matrix	NOUN
cana-3480	135	7	of	of	ADP
cana-3480	135	8	the	the	DET
cana-3480	135	9	resulting	result	VERB
cana-3480	135	10	matrix	matrix	NOUN
cana-3480	135	11	from	from	ADP
cana-3480	135	12	the	the	DET
cana-3480	135	13	previous	previous	ADJ
cana-3480	135	14	step	step	NOUN
cana-3480	135	15	.	.	PUNCT
cana-3480	136	1	5	5	X
cana-3480	136	2	.	.	X
cana-3480	136	3	subtract	subtract	VERB
cana-3480	136	4	the	the	DET
cana-3480	136	5	adjoint	adjoint	NOUN
cana-3480	136	6	matrix	matrix	NOUN
cana-3480	136	7	obtained	obtain	VERB
cana-3480	136	8	in	in	ADP
cana-3480	136	9	step4	step4	PROPN
cana-3480	136	10	from	from	ADP
cana-3480	136	11	the	the	DET
cana-3480	136	12	matrix	matrix	NOUN
cana-3480	136	13	obtained	obtain	VERB
cana-3480	136	14	in	in	ADP
cana-3480	136	15	step2	step2	PROPN
cana-3480	136	16	.	.	PROPN
cana-3480	137	1	6	6	X
cana-3480	137	2	.	.	X
cana-3480	137	3	identify	identify	VERB
cana-3480	137	4	and	and	CCONJ
cana-3480	137	5	extract	extract	VERB
cana-3480	137	6	the	the	DET
cana-3480	137	7	common	common	ADJ
cana-3480	137	8	element	element	NOUN
cana-3480	137	9	present	present	NOUN
cana-3480	137	10	in	in	ADP
cana-3480	137	11	each	each	DET
cana-3480	137	12	column	column	NOUN
cana-3480	137	13	.	.	PUNCT
cana-3480	138	1	communications	communication	NOUN
cana-3480	138	2	on	on	ADP
cana-3480	138	3	applied	apply	VERB
cana-3480	138	4	nonlinear	nonlinear	ADJ
cana-3480	138	5	analysis	analysis	NOUN
cana-3480	138	6	issn	issn	NOUN
cana-3480	138	7	:	:	PUNCT
cana-3480	138	8	1074	1074	NUM
cana-3480	138	9	-	-	PUNCT
cana-3480	138	10	133x	133x	NUM
cana-3480	138	11	vol	vol	NOUN
cana-3480	138	12	32	32	NUM
cana-3480	138	13	no	no	NOUN
cana-3480	138	14	.	.	PUNCT
cana-3480	139	1	7s	7	NOUN
cana-3480	139	2	(	(	PUNCT
cana-3480	139	3	2025	2025	NUM
cana-3480	139	4	)	)	PUNCT
cana-3480	139	5	753	753	NUM
cana-3480	140	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3480	140	2	7	7	X
cana-3480	140	3	.	.	PUNCT
cana-3480	140	4	perform	perform	VERB
cana-3480	140	5	the	the	DET
cana-3480	140	6	operation	operation	NOUN
cana-3480	140	7	n.v	n.v	PROPN
cana-3480	140	8	.	.	PUNCT
cana-3480	141	1	+	+	CCONJ
cana-3480	141	2	9	9	NUM
cana-3480	141	3	(	(	PUNCT
cana-3480	141	4	mod	mod	NOUN
cana-3480	141	5	26	26	NUM
cana-3480	141	6	)	)	PUNCT
cana-3480	141	7	on	on	ADP
cana-3480	141	8	each	each	DET
cana-3480	141	9	value	value	NOUN
cana-3480	141	10	and	and	CCONJ
cana-3480	141	11	refer	refer	VERB
cana-3480	141	12	to	to	ADP
cana-3480	141	13	the	the	DET
cana-3480	141	14	standard	standard	ADJ
cana-3480	141	15	table	table	NOUN
cana-3480	141	16	for	for	ADP
cana-3480	141	17	the	the	DET
cana-3480	141	18	corresponding	corresponding	ADJ
cana-3480	141	19	result	result	NOUN
cana-3480	141	20	and	and	CCONJ
cana-3480	141	21	consider	consider	VERB
cana-3480	141	22	0	0	NUM
cana-3480	141	23	as	as	ADP
cana-3480	141	24	a	a	DET
cana-3480	141	25	space	space	NOUN
cana-3480	141	26	between	between	ADP
cana-3480	141	27	the	the	DET
cana-3480	141	28	words	word	NOUN
cana-3480	141	29	.	.	PUNCT
cana-3480	142	1	8	8	NUM
cana-3480	142	2	.	.	PUNCT
cana-3480	143	1	thus	thus	ADV
cana-3480	143	2	,	,	PUNCT
cana-3480	143	3	the	the	DET
cana-3480	143	4	original	original	ADJ
cana-3480	143	5	text	text	NOUN
cana-3480	143	6	is	be	AUX
cana-3480	143	7	revealed	reveal	VERB
cana-3480	143	8	.	.	PUNCT
cana-3480	144	1	example	example	NOUN
cana-3480	144	2	:	:	PUNCT
cana-3480	144	3	using	use	VERB
cana-3480	144	4	the	the	DET
cana-3480	144	5	above	above	ADJ
cana-3480	144	6	algorithm	algorithm	NOUN
cana-3480	144	7	,	,	PUNCT
cana-3480	144	8	we	we	PRON
cana-3480	144	9	will	will	AUX
cana-3480	144	10	encrypt	encrypt	VERB
cana-3480	144	11	and	and	CCONJ
cana-3480	144	12	decrypt	decrypt	VERB
cana-3480	144	13	the	the	DET
cana-3480	144	14	code	code	NOUN
cana-3480	144	15	"	"	PUNCT
cana-3480	144	16	the	the	DET
cana-3480	144	17	kite	kite	NOUN
cana-3480	144	18	"	"	PUNCT
cana-3480	144	19	encryption	encryption	NOUN
cana-3480	144	20	the	the	DET
cana-3480	144	21	first	first	ADJ
cana-3480	144	22	step	step	NOUN
cana-3480	144	23	is	be	AUX
cana-3480	144	24	to	to	PART
cana-3480	144	25	convert	convert	VERB
cana-3480	144	26	each	each	DET
cana-3480	144	27	letter	letter	NOUN
cana-3480	144	28	into	into	ADP
cana-3480	144	29	its	its	PRON
cana-3480	144	30	ascii	ascii	ADJ
cana-3480	144	31	numerical	numerical	ADJ
cana-3480	144	32	value	value	NOUN
cana-3480	144	33	.	.	PUNCT
cana-3480	145	1	spaces	space	NOUN
cana-3480	145	2	between	between	ADP
cana-3480	145	3	words	word	NOUN
cana-3480	145	4	are	be	AUX
cana-3480	145	5	treated	treat	VERB
cana-3480	145	6	as	as	ADP
cana-3480	145	7	zeros	zero	NOUN
cana-3480	145	8	,	,	PUNCT
cana-3480	145	9	and	and	CCONJ
cana-3480	145	10	no	no	DET
cana-3480	145	11	operation	operation	NOUN
cana-3480	145	12	is	be	AUX
cana-3480	145	13	needed	need	VERB
cana-3480	145	14	for	for	ADP
cana-3480	145	15	these	these	DET
cana-3480	145	16	zeros	zero	NOUN
cana-3480	145	17	.	.	PUNCT
cana-3480	146	1	t	t	PROPN
cana-3480	146	2	h	h	NOUN
cana-3480	147	1	e	e	PROPN
cana-3480	147	2	k	k	NOUN
cana-3480	148	1	i	i	PRON
cana-3480	148	2	t	t	X
cana-3480	148	3	e	e	NOUN
cana-3480	148	4	84	84	NUM
cana-3480	148	5	72	72	NUM
cana-3480	148	6	69	69	NUM
cana-3480	148	7	0	0	NUM
cana-3480	148	8	75	75	NUM
cana-3480	148	9	73	73	NUM
cana-3480	148	10	84	84	NUM
cana-3480	148	11	69	69	NUM
cana-3480	148	12	apply	apply	VERB
cana-3480	148	13	the	the	DET
cana-3480	148	14	shift	shift	NOUN
cana-3480	148	15	cipher	cipher	ADJ
cana-3480	148	16	using	use	VERB
cana-3480	148	17	the	the	DET
cana-3480	148	18	formula	formula	NOUN
cana-3480	148	19	n.v	n.v	NOUN
cana-3480	148	20	+	+	CCONJ
cana-3480	148	21	4	4	NUM
cana-3480	148	22	(	(	PUNCT
cana-3480	148	23	mod26	mod26	ADJ
cana-3480	148	24	)	)	PUNCT
cana-3480	148	25	to	to	ADP
cana-3480	148	26	all	all	DET
cana-3480	148	27	values	value	NOUN
cana-3480	148	28	,	,	PUNCT
cana-3480	148	29	excluding	exclude	VERB
cana-3480	148	30	the	the	DET
cana-3480	148	31	zeros	zero	NOUN
cana-3480	148	32	that	that	PRON
cana-3480	148	33	represent	represent	VERB
cana-3480	148	34	spaces	space	NOUN
cana-3480	148	35	.	.	PUNCT
cana-3480	149	1	t	t	PROPN
cana-3480	149	2	h	h	NOUN
cana-3480	150	1	e	e	PROPN
cana-3480	150	2	k	k	NOUN
cana-3480	151	1	i	i	PRON
cana-3480	151	2	t	t	X
cana-3480	151	3	e	e	NOUN
cana-3480	151	4	10	10	NUM
cana-3480	151	5	24	24	NUM
cana-3480	151	6	21	21	NUM
cana-3480	151	7	0	0	NUM
cana-3480	151	8	1	1	NUM
cana-3480	151	9	25	25	NUM
cana-3480	151	10	10	10	NUM
cana-3480	151	11	21	21	NUM
cana-3480	151	12	assign	assign	NOUN
cana-3480	151	13	the	the	DET
cana-3480	151	14	variables	variable	NOUN
cana-3480	151	15	{	{	PUNCT
cana-3480	151	16	a1	a1	PROPN
cana-3480	151	17	,	,	PUNCT
cana-3480	151	18	a2	a2	PROPN
cana-3480	151	19	,	,	PUNCT
cana-3480	151	20	a3	a3	NOUN
cana-3480	151	21	,	,	PUNCT
cana-3480	151	22	…	…	PUNCT
cana-3480	151	23	……	……	NOUN
cana-3480	151	24	.	.	PUNCT
cana-3480	151	25	,	,	PUNCT
cana-3480	151	26	an	an	PRON
cana-3480	151	27	}	}	PUNCT
cana-3480	151	28	to	to	ADP
cana-3480	151	29	the	the	DET
cana-3480	151	30	values	value	NOUN
cana-3480	151	31	10	10	NUM
cana-3480	151	32	24	24	NUM
cana-3480	151	33	21	21	NUM
cana-3480	151	34	0	0	NUM
cana-3480	151	35	1	1	NUM
cana-3480	151	36	25	25	NUM
cana-3480	151	37	10	10	NUM
cana-3480	151	38	21	21	NUM
cana-3480	151	39	a1	a1	NOUN
cana-3480	151	40	a2	a2	PROPN
cana-3480	151	41	a3	a3	PROPN
cana-3480	151	42	a4	a4	PROPN
cana-3480	151	43	a5	a5	PROPN
cana-3480	151	44	a6	a6	NOUN
cana-3480	151	45	a7	a7	PROPN
cana-3480	151	46	a8	a8	PROPN
cana-3480	151	47	next	next	ADV
cana-3480	151	48	,	,	PUNCT
cana-3480	151	49	we	we	PRON
cana-3480	151	50	need	need	VERB
cana-3480	151	51	to	to	PART
cana-3480	151	52	construct	construct	VERB
cana-3480	151	53	a	a	DET
cana-3480	151	54	complete	complete	ADJ
cana-3480	151	55	graph	graph	NOUN
cana-3480	151	56	for	for	ADP
cana-3480	151	57	each	each	DET
cana-3480	151	58	word	word	NOUN
cana-3480	151	59	in	in	ADP
cana-3480	151	60	the	the	DET
cana-3480	151	61	sentence	sentence	NOUN
cana-3480	151	62	.	.	PUNCT
cana-3480	152	1	here	here	ADV
cana-3480	152	2	,	,	PUNCT
cana-3480	152	3	c3	c3	PROPN
cana-3480	152	4	will	will	AUX
cana-3480	152	5	be	be	AUX
cana-3480	152	6	created	create	VERB
cana-3480	152	7	for	for	ADP
cana-3480	152	8	the	the	DET
cana-3480	152	9	word	word	NOUN
cana-3480	152	10	"	"	PUNCT
cana-3480	152	11	the	the	PRON
cana-3480	152	12	"	"	PUNCT
cana-3480	152	13	and	and	CCONJ
cana-3480	152	14	c4	c4	NOUN
cana-3480	152	15	will	will	AUX
cana-3480	152	16	be	be	AUX
cana-3480	152	17	created	create	VERB
cana-3480	152	18	for	for	ADP
cana-3480	152	19	the	the	DET
cana-3480	152	20	word	word	NOUN
cana-3480	152	21	"	"	PUNCT
cana-3480	152	22	kite	kite	NOUN
cana-3480	152	23	.	.	PUNCT
cana-3480	152	24	"	"	PUNCT
cana-3480	152	25	figure	figure	VERB
cana-3480	152	26	3	3	NUM
cana-3480	152	27	:	:	PUNCT
cana-3480	152	28	complete	complete	ADJ
cana-3480	152	29	graph	graph	NOUN
cana-3480	152	30	c3	c3	NOUN
cana-3480	152	31	figure	figure	NOUN
cana-3480	152	32	4	4	NUM
cana-3480	152	33	:	:	PUNCT
cana-3480	152	34	complete	complete	ADJ
cana-3480	152	35	graph	graph	NOUN
cana-3480	152	36	c4	c4	NOUN
cana-3480	152	37	communications	communication	NOUN
cana-3480	152	38	on	on	ADP
cana-3480	152	39	applied	apply	VERB
cana-3480	152	40	nonlinear	nonlinear	ADJ
cana-3480	152	41	analysis	analysis	NOUN
cana-3480	152	42	issn	issn	NOUN
cana-3480	152	43	:	:	PUNCT
cana-3480	152	44	1074	1074	NUM
cana-3480	152	45	-	-	PUNCT
cana-3480	152	46	133x	133x	NUM
cana-3480	152	47	vol	vol	NOUN
cana-3480	152	48	32	32	NUM
cana-3480	152	49	no	no	NOUN
cana-3480	152	50	.	.	PUNCT
cana-3480	153	1	7s	7	NOUN
cana-3480	153	2	(	(	PUNCT
cana-3480	153	3	2025	2025	NUM
cana-3480	153	4	)	)	PUNCT
cana-3480	153	5	754	754	NUM
cana-3480	154	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3480	154	2	construct	construct	VERB
cana-3480	154	3	the	the	DET
cana-3480	154	4	complement	complement	NOUN
cana-3480	154	5	of	of	ADP
cana-3480	154	6	c3	c3	PROPN
cana-3480	154	7	i.e.	i.e.	X
cana-3480	154	8	c	c	X
cana-3480	154	9	’	'	PUNCT
cana-3480	154	10	3	3	NUM
cana-3480	154	11	and	and	CCONJ
cana-3480	154	12	c4	c4	VERB
cana-3480	154	13	i.e.	i.e.	X
cana-3480	154	14	c	c	X
cana-3480	154	15	’	'	PUNCT
cana-3480	154	16	4	4	NUM
cana-3480	154	17	this	this	PRON
cana-3480	154	18	is	be	AUX
cana-3480	154	19	a	a	DET
cana-3480	154	20	key	key	ADJ
cana-3480	154	21	-	-	PUNCT
cana-3480	154	22	value	value	NOUN
cana-3480	154	23	graph	graph	NOUN
cana-3480	154	24	and	and	CCONJ
cana-3480	154	25	we	we	PRON
cana-3480	154	26	will	will	AUX
cana-3480	154	27	keep	keep	VERB
cana-3480	154	28	the	the	DET
cana-3480	154	29	graph	graph	NOUN
cana-3480	154	30	for	for	ADP
cana-3480	154	31	future	future	ADJ
cana-3480	154	32	use	use	NOUN
cana-3480	154	33	.	.	PUNCT
cana-3480	155	1	figure	figure	NOUN
cana-3480	155	2	5	5	NUM
cana-3480	155	3	:	:	PUNCT
cana-3480	155	4	complement	complement	NOUN
cana-3480	155	5	of	of	ADP
cana-3480	155	6	c3	c3	PROPN
cana-3480	155	7	i.e.	i.e.	X
cana-3480	155	8	c	c	X
cana-3480	155	9	’	'	PUNCT
cana-3480	155	10	3	3	NUM
cana-3480	155	11	figure	figure	NOUN
cana-3480	155	12	6	6	NUM
cana-3480	155	13	:	:	PUNCT
cana-3480	155	14	complement	complement	NOUN
cana-3480	155	15	of	of	ADP
cana-3480	155	16	c4	c4	NOUN
cana-3480	155	17	i.e.	i.e.	X
cana-3480	155	18	c	c	X
cana-3480	155	19	’	'	PUNCT
cana-3480	155	20	4	4	NUM
cana-3480	155	21	next	next	ADV
cana-3480	155	22	,	,	PUNCT
cana-3480	155	23	we	we	PRON
cana-3480	155	24	need	need	VERB
cana-3480	155	25	to	to	PART
cana-3480	155	26	transform	transform	VERB
cana-3480	155	27	the	the	DET
cana-3480	155	28	two	two	NUM
cana-3480	155	29	graphs	graph	NOUN
cana-3480	155	30	mentioned	mention	VERB
cana-3480	155	31	above	above	ADV
cana-3480	155	32	into	into	ADP
cana-3480	155	33	their	their	PRON
cana-3480	155	34	corresponding	corresponding	ADJ
cana-3480	155	35	adjacency	adjacency	NOUN
cana-3480	155	36	matrices	matrix	NOUN
cana-3480	155	37	.	.	PUNCT
cana-3480	156	1	a	a	DET
cana-3480	156	2	=	=	SYM
cana-3480	156	3	b	b	NOUN
cana-3480	156	4	=	=	PUNCT
cana-3480	156	5	now	now	ADV
cana-3480	156	6	,	,	PUNCT
cana-3480	156	7	merge	merge	VERB
cana-3480	156	8	the	the	DET
cana-3480	156	9	adjacency	adjacency	NOUN
cana-3480	156	10	matrices	matrix	NOUN
cana-3480	156	11	,	,	PUNCT
cana-3480	156	12	namely	namely	ADV
cana-3480	156	13	matrix	matrix	VERB
cana-3480	156	14	a	a	PRON
cana-3480	156	15	and	and	CCONJ
cana-3480	156	16	matrix	matrix	NOUN
cana-3480	156	17	b	b	NOUN
cana-3480	156	18	,	,	PUNCT
cana-3480	156	19	into	into	ADP
cana-3480	156	20	a	a	DET
cana-3480	156	21	single	single	ADJ
cana-3480	156	22	square	square	ADJ
cana-3480	156	23	matrix	matrix	NOUN
cana-3480	156	24	.	.	PUNCT
cana-3480	157	1	this	this	PRON
cana-3480	157	2	will	will	AUX
cana-3480	157	3	produce	produce	VERB
cana-3480	157	4	a	a	DET
cana-3480	157	5	new	new	ADJ
cana-3480	157	6	matrix	matrix	NOUN
cana-3480	157	7	c	c	NOUN
cana-3480	157	8	,	,	PUNCT
cana-3480	157	9	which	which	PRON
cana-3480	157	10	represents	represent	VERB
cana-3480	157	11	the	the	DET
cana-3480	157	12	disjoint	disjoint	NOUN
cana-3480	157	13	graphs	graph	NOUN
cana-3480	157	14	.	.	PUNCT
cana-3480	158	1	c	c	NOUN
cana-3480	158	2	=	=	NOUN
cana-3480	158	3	a1	a1	PROPN
cana-3480	158	4	a2	a2	PROPN
cana-3480	158	5	a3	a3	NOUN
cana-3480	158	6	a1	a1	NOUN
cana-3480	158	7	1	1	NUM
cana-3480	158	8	0	0	NUM
cana-3480	158	9	0	0	NUM
cana-3480	158	10	a2	a2	PROPN
cana-3480	158	11	0	0	NUM
cana-3480	158	12	1	1	NUM
cana-3480	158	13	0	0	NUM
cana-3480	158	14	a3	a3	NOUN
cana-3480	158	15	0	0	NUM
cana-3480	158	16	0	0	NUM
cana-3480	158	17	1	1	NUM
cana-3480	158	18	a5	a5	NOUN
cana-3480	158	19	a6	a6	NOUN
cana-3480	158	20	a7	a7	PROPN
cana-3480	158	21	a8	a8	PROPN
cana-3480	158	22	a5	a5	PROPN
cana-3480	158	23	1	1	NUM
cana-3480	158	24	0	0	NUM
cana-3480	158	25	1	1	NUM
cana-3480	158	26	0	0	NUM
cana-3480	158	27	a6	a6	NOUN
cana-3480	158	28	0	0	NUM
cana-3480	158	29	1	1	NUM
cana-3480	158	30	0	0	NUM
cana-3480	158	31	1	1	NUM
cana-3480	158	32	a7	a7	NOUN
cana-3480	158	33	1	1	NUM
cana-3480	158	34	0	0	NUM
cana-3480	158	35	1	1	NUM
cana-3480	158	36	0	0	NUM
cana-3480	158	37	a8	a8	NOUN
cana-3480	158	38	0	0	NUM
cana-3480	158	39	1	1	NUM
cana-3480	158	40	0	0	NUM
cana-3480	158	41	1	1	NUM
cana-3480	158	42	1	1	NUM
cana-3480	158	43	0	0	NUM
cana-3480	158	44	0	0	NUM
cana-3480	158	45	0	0	NUM
cana-3480	158	46	0	0	NUM
cana-3480	158	47	0	0	NUM
cana-3480	158	48	0	0	NUM
cana-3480	158	49	0	0	NUM
cana-3480	158	50	0	0	NUM
cana-3480	158	51	1	1	NUM
cana-3480	158	52	0	0	NUM
cana-3480	158	53	0	0	NUM
cana-3480	158	54	0	0	NUM
cana-3480	158	55	0	0	NUM
cana-3480	158	56	0	0	NUM
cana-3480	158	57	0	0	NUM
cana-3480	158	58	0	0	NUM
cana-3480	158	59	0	0	NUM
cana-3480	158	60	1	1	NUM
cana-3480	158	61	0	0	NUM
cana-3480	158	62	0	0	NUM
cana-3480	158	63	0	0	NUM
cana-3480	158	64	0	0	NUM
cana-3480	158	65	0	0	NUM
cana-3480	158	66	0	0	NUM
cana-3480	158	67	0	0	NUM
cana-3480	158	68	0	0	NUM
cana-3480	158	69	0	0	NUM
cana-3480	158	70	0	0	NUM
cana-3480	158	71	0	0	NUM
cana-3480	158	72	0	0	NUM
cana-3480	158	73	0	0	NUM
cana-3480	158	74	0	0	NUM
cana-3480	158	75	0	0	NUM
cana-3480	158	76	0	0	NUM
cana-3480	158	77	0	0	NUM
cana-3480	158	78	1	1	NUM
cana-3480	158	79	0	0	NUM
cana-3480	158	80	1	1	NUM
cana-3480	158	81	0	0	NUM
cana-3480	158	82	0	0	NUM
cana-3480	158	83	0	0	NUM
cana-3480	158	84	0	0	NUM
cana-3480	158	85	0	0	NUM
cana-3480	158	86	0	0	NUM
cana-3480	158	87	1	1	NUM
cana-3480	158	88	0	0	NUM
cana-3480	158	89	1	1	NUM
cana-3480	158	90	0	0	NUM
cana-3480	158	91	0	0	NUM
cana-3480	158	92	0	0	NUM
cana-3480	158	93	0	0	NUM
cana-3480	158	94	1	1	NUM
cana-3480	158	95	0	0	NUM
cana-3480	158	96	1	1	NUM
cana-3480	158	97	0	0	NUM
cana-3480	158	98	0	0	NUM
cana-3480	158	99	0	0	NUM
cana-3480	158	100	0	0	NUM
cana-3480	158	101	0	0	NUM
cana-3480	158	102	0	0	NUM
cana-3480	158	103	1	1	NUM
cana-3480	158	104	0	0	NUM
cana-3480	158	105	1	1	NUM
cana-3480	158	106	communications	communication	NOUN
cana-3480	158	107	on	on	ADP
cana-3480	158	108	applied	apply	VERB
cana-3480	158	109	nonlinear	nonlinear	ADJ
cana-3480	158	110	analysis	analysis	NOUN
cana-3480	158	111	issn	issn	NOUN
cana-3480	158	112	:	:	PUNCT
cana-3480	158	113	1074	1074	NUM
cana-3480	158	114	-	-	PUNCT
cana-3480	158	115	133x	133x	NUM
cana-3480	158	116	vol	vol	NOUN
cana-3480	158	117	32	32	NUM
cana-3480	158	118	no	no	NOUN
cana-3480	158	119	.	.	PUNCT
cana-3480	159	1	7s	7	NOUN
cana-3480	159	2	(	(	PUNCT
cana-3480	159	3	2025	2025	NUM
cana-3480	159	4	)	)	PUNCT
cana-3480	159	5	755	755	NUM
cana-3480	159	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3480	159	7	find	find	VERB
cana-3480	159	8	the	the	DET
cana-3480	159	9	adjoint	adjoint	NOUN
cana-3480	159	10	matrix	matrix	NOUN
cana-3480	159	11	of	of	ADP
cana-3480	159	12	the	the	DET
cana-3480	159	13	above	above	ADJ
cana-3480	159	14	obtained	obtain	VERB
cana-3480	159	15	matrix	matrix	NOUN
cana-3480	159	16	c	c	NOUN
cana-3480	159	17	adj(c	adj(c	PROPN
cana-3480	159	18	)	)	PUNCT
cana-3480	160	1	=	=	PRON
cana-3480	160	2	add	add	VERB
cana-3480	160	3	the	the	DET
cana-3480	160	4	value	value	NOUN
cana-3480	160	5	of	of	ADP
cana-3480	160	6	{	{	PUNCT
cana-3480	160	7	a1	a1	PROPN
cana-3480	160	8	,	,	PUNCT
cana-3480	160	9	a2	a2	PROPN
cana-3480	160	10	,	,	PUNCT
cana-3480	160	11	a3	a3	NOUN
cana-3480	160	12	,	,	PUNCT
cana-3480	160	13	a4	a4	PROPN
cana-3480	160	14	,	,	PUNCT
cana-3480	160	15	a5	a5	NOUN
cana-3480	160	16	,	,	PUNCT
cana-3480	160	17	a6	a6	NOUN
cana-3480	160	18	,	,	PUNCT
cana-3480	160	19	a7	a7	PROPN
cana-3480	160	20	,	,	PUNCT
cana-3480	160	21	a8	a8	PROPN
cana-3480	160	22	}	}	PUNCT
cana-3480	160	23	to	to	ADP
cana-3480	160	24	each	each	DET
cana-3480	160	25	matrix	matrix	NOUN
cana-3480	160	26	column	column	NOUN
cana-3480	160	27	of	of	ADP
cana-3480	160	28	matrix	matrix	NOUN
cana-3480	160	29	adj(c	adj(c	NOUN
cana-3480	160	30	)	)	PUNCT
cana-3480	160	31	respectively	respectively	ADV
cana-3480	160	32	,	,	PUNCT
cana-3480	160	33	and	and	CCONJ
cana-3480	160	34	we	we	PRON
cana-3480	160	35	will	will	AUX
cana-3480	160	36	get	get	VERB
cana-3480	160	37	a	a	DET
cana-3480	160	38	new	new	ADJ
cana-3480	160	39	matrix	matrix	NOUN
cana-3480	160	40	d	d	X
cana-3480	160	41	d	d	NOUN
cana-3480	160	42	=	=	PRON
cana-3480	160	43	convert	convert	VERB
cana-3480	160	44	the	the	DET
cana-3480	160	45	elements	element	NOUN
cana-3480	160	46	of	of	ADP
cana-3480	160	47	the	the	DET
cana-3480	160	48	above	above	ADJ
cana-3480	160	49	matrix	matrix	NOUN
cana-3480	160	50	row	row	NOUN
cana-3480	160	51	-	-	PUNCT
cana-3480	160	52	wise	wise	ADJ
cana-3480	160	53	into	into	ADP
cana-3480	160	54	the	the	DET
cana-3480	160	55	form	form	NOUN
cana-3480	160	56	of	of	ADP
cana-3480	160	57	a	a	DET
cana-3480	160	58	list	list	NOUN
cana-3480	160	59	as	as	ADP
cana-3480	160	60	below	below	ADP
cana-3480	160	61	[	[	PUNCT
cana-3480	160	62	11	11	NUM
cana-3480	160	63	24	24	NUM
cana-3480	160	64	21	21	NUM
cana-3480	160	65	0	0	NUM
cana-3480	160	66	1	1	NUM
cana-3480	160	67	25	25	NUM
cana-3480	160	68	10	10	NUM
cana-3480	160	69	21	21	NUM
cana-3480	160	70	10	10	NUM
cana-3480	160	71	25	25	NUM
cana-3480	160	72	21	21	NUM
cana-3480	160	73	0	0	NUM
cana-3480	160	74	1	1	NUM
cana-3480	160	75	25	25	NUM
cana-3480	160	76	10	10	NUM
cana-3480	160	77	21	21	NUM
cana-3480	160	78	10	10	NUM
cana-3480	160	79	24	24	NUM
cana-3480	160	80	22	22	NUM
cana-3480	160	81	0	0	NUM
cana-3480	160	82	1	1	NUM
cana-3480	160	83	25	25	NUM
cana-3480	160	84	10	10	NUM
cana-3480	160	85	21	21	NUM
cana-3480	160	86	10	10	NUM
cana-3480	160	87	24	24	NUM
cana-3480	160	88	21	21	NUM
cana-3480	160	89	0	0	NUM
cana-3480	160	90	1	1	NUM
cana-3480	160	91	25	25	NUM
cana-3480	160	92	10	10	NUM
cana-3480	160	93	21	21	NUM
cana-3480	160	94	10	10	NUM
cana-3480	160	95	24	24	NUM
cana-3480	160	96	21	21	NUM
cana-3480	160	97	0	0	NUM
cana-3480	160	98	0	0	NUM
cana-3480	160	99	25	25	NUM
cana-3480	160	100	11	11	NUM
cana-3480	160	101	21	21	NUM
cana-3480	160	102	10	10	NUM
cana-3480	160	103	24	24	NUM
cana-3480	160	104	21	21	NUM
cana-3480	160	105	0	0	NUM
cana-3480	160	106	1	1	NUM
cana-3480	160	107	24	24	NUM
cana-3480	160	108	10	10	NUM
cana-3480	160	109	22	22	NUM
cana-3480	160	110	10	10	NUM
cana-3480	160	111	24	24	NUM
cana-3480	160	112	21	21	NUM
cana-3480	160	113	0	0	NUM
cana-3480	160	114	2	2	NUM
cana-3480	160	115	25	25	NUM
cana-3480	160	116	9	9	NUM
cana-3480	160	117	21	21	NUM
cana-3480	160	118	10	10	NUM
cana-3480	160	119	24	24	NUM
cana-3480	160	120	21	21	NUM
cana-3480	160	121	0	0	NUM
cana-3480	160	122	1	1	NUM
cana-3480	160	123	26	26	NUM
cana-3480	160	124	10	10	NUM
cana-3480	160	125	20	20	NUM
cana-3480	160	126	]	]	PUNCT
cana-3480	160	127	in	in	ADP
cana-3480	160	128	the	the	DET
cana-3480	160	129	above	above	ADJ
cana-3480	160	130	code	code	NOUN
cana-3480	160	131	,	,	PUNCT
cana-3480	160	132	replace	replace	VERB
cana-3480	160	133	the	the	DET
cana-3480	160	134	numbers	number	NOUN
cana-3480	160	135	which	which	PRON
cana-3480	160	136	are	be	AUX
cana-3480	160	137	more	more	ADJ
cana-3480	160	138	than	than	ADP
cana-3480	160	139	10	10	NUM
cana-3480	160	140	or	or	CCONJ
cana-3480	160	141	10	10	NUM
cana-3480	160	142	with	with	ADP
cana-3480	160	143	an	an	DET
cana-3480	160	144	alphabet	alphabet	NOUN
cana-3480	160	145	from	from	ADP
cana-3480	160	146	the	the	DET
cana-3480	160	147	standard	standard	ADJ
cana-3480	160	148	table	table	NOUN
cana-3480	160	149	.	.	PUNCT
cana-3480	161	1	[	[	PUNCT
cana-3480	161	2	l	l	X
cana-3480	161	3	y	y	PROPN
cana-3480	161	4	v	v	NOUN
cana-3480	161	5	0	0	NUM
cana-3480	161	6	1	1	NUM
cana-3480	161	7	z	z	NOUN
cana-3480	161	8	k	k	NOUN
cana-3480	161	9	v	v	X
cana-3480	161	10	k	k	PROPN
cana-3480	161	11	z	z	NOUN
cana-3480	161	12	v	v	NOUN
cana-3480	161	13	0	0	NUM
cana-3480	161	14	1	1	NUM
cana-3480	161	15	z	z	NOUN
cana-3480	161	16	k	k	NOUN
cana-3480	162	1	v	v	X
cana-3480	162	2	k	k	PROPN
cana-3480	162	3	y	y	PROPN
cana-3480	162	4	w	w	PROPN
cana-3480	162	5	0	0	NUM
cana-3480	162	6	1	1	NUM
cana-3480	162	7	z	z	NOUN
cana-3480	162	8	k	k	NOUN
cana-3480	162	9	v	v	X
cana-3480	162	10	k	k	PROPN
cana-3480	162	11	y	y	PROPN
cana-3480	162	12	v	v	NOUN
cana-3480	162	13	0	0	NUM
cana-3480	162	14	1	1	NUM
cana-3480	162	15	z	z	NOUN
cana-3480	162	16	k	k	NOUN
cana-3480	163	1	v	v	X
cana-3480	163	2	k	k	PROPN
cana-3480	163	3	y	y	PROPN
cana-3480	163	4	v	v	NUM
cana-3480	163	5	0	0	NUM
cana-3480	163	6	0	0	NUM
cana-3480	163	7	z	z	NOUN
cana-3480	163	8	l	l	NOUN
cana-3480	164	1	v	v	X
cana-3480	164	2	k	k	X
cana-3480	164	3	y	y	PROPN
cana-3480	164	4	v	v	NOUN
cana-3480	164	5	0	0	NUM
cana-3480	164	6	1	1	NUM
cana-3480	164	7	y	y	PROPN
cana-3480	164	8	k	k	PROPN
cana-3480	164	9	w	w	PROPN
cana-3480	164	10	k	k	PROPN
cana-3480	164	11	y	y	PROPN
cana-3480	164	12	v	v	NOUN
cana-3480	164	13	0	0	NUM
cana-3480	164	14	2	2	NUM
cana-3480	164	15	z	z	NOUN
cana-3480	164	16	9	9	NUM
cana-3480	164	17	v	v	NOUN
cana-3480	164	18	k	k	PROPN
cana-3480	164	19	y	y	PROPN
cana-3480	164	20	v	v	NUM
cana-3480	164	21	0	0	NUM
cana-3480	164	22	1	1	NUM
cana-3480	164	23	a	a	DET
cana-3480	164	24	k	k	PROPN
cana-3480	164	25	u	u	X
cana-3480	164	26	]	]	PUNCT
cana-3480	164	27	send	send	VERB
cana-3480	164	28	this	this	DET
cana-3480	164	29	code	code	NOUN
cana-3480	164	30	to	to	ADP
cana-3480	164	31	the	the	DET
cana-3480	164	32	receiver	receiver	NOUN
cana-3480	164	33	and	and	CCONJ
cana-3480	164	34	the	the	DET
cana-3480	164	35	key	key	ADJ
cana-3480	164	36	-	-	PUNCT
cana-3480	164	37	value	value	NOUN
cana-3480	164	38	graph	graph	NOUN
cana-3480	164	39	along	along	ADP
cana-3480	164	40	with	with	ADP
cana-3480	164	41	the	the	DET
cana-3480	164	42	key	key	ADJ
cana-3480	164	43	operation	operation	NOUN
cana-3480	164	44	n.v.+	n.v.+	X
cana-3480	165	1	9	9	NUM
cana-3480	165	2	(	(	PUNCT
cana-3480	165	3	mod26	mod26	ADJ
cana-3480	165	4	)	)	PUNCT
cana-3480	165	5	1	1	NUM
cana-3480	165	6	0	0	NUM
cana-3480	165	7	0	0	NUM
cana-3480	165	8	0	0	NUM
cana-3480	165	9	0	0	NUM
cana-3480	165	10	0	0	NUM
cana-3480	165	11	0	0	NUM
cana-3480	165	12	0	0	NUM
cana-3480	165	13	0	0	NUM
cana-3480	165	14	1	1	NUM
cana-3480	165	15	0	0	NUM
cana-3480	165	16	0	0	NUM
cana-3480	165	17	0	0	NUM
cana-3480	165	18	0	0	NUM
cana-3480	165	19	0	0	NUM
cana-3480	165	20	0	0	NUM
cana-3480	165	21	0	0	NUM
cana-3480	165	22	0	0	NUM
cana-3480	165	23	1	1	NUM
cana-3480	165	24	0	0	NUM
cana-3480	165	25	0	0	NUM
cana-3480	165	26	0	0	NUM
cana-3480	165	27	0	0	NUM
cana-3480	165	28	0	0	NUM
cana-3480	165	29	0	0	NUM
cana-3480	165	30	0	0	NUM
cana-3480	165	31	0	0	NUM
cana-3480	165	32	0	0	NUM
cana-3480	165	33	0	0	NUM
cana-3480	165	34	0	0	NUM
cana-3480	165	35	0	0	NUM
cana-3480	165	36	0	0	NUM
cana-3480	165	37	0	0	NUM
cana-3480	165	38	0	0	NUM
cana-3480	165	39	0	0	NUM
cana-3480	165	40	0	0	NUM
cana-3480	165	41	-1	-1	SYM
cana-3480	165	42	0	0	NUM
cana-3480	166	1	1	1	NUM
cana-3480	166	2	0	0	NUM
cana-3480	166	3	0	0	NUM
cana-3480	166	4	0	0	NUM
cana-3480	166	5	0	0	NUM
cana-3480	166	6	0	0	NUM
cana-3480	166	7	0	0	NUM
cana-3480	166	8	-1	-1	SYM
cana-3480	166	9	0	0	NUM
cana-3480	167	1	1	1	NUM
cana-3480	167	2	0	0	NUM
cana-3480	167	3	0	0	NUM
cana-3480	167	4	0	0	NUM
cana-3480	167	5	0	0	NUM
cana-3480	167	6	1	1	NUM
cana-3480	167	7	0	0	NUM
cana-3480	167	8	-1	-1	SYM
cana-3480	167	9	0	0	NUM
cana-3480	168	1	0	0	NUM
cana-3480	168	2	0	0	NUM
cana-3480	168	3	0	0	NUM
cana-3480	168	4	0	0	NUM
cana-3480	168	5	0	0	NUM
cana-3480	168	6	1	1	NUM
cana-3480	168	7	0	0	NUM
cana-3480	168	8	-1	-1	SYM
cana-3480	168	9	11	11	NUM
cana-3480	168	10	10	10	NUM
cana-3480	168	11	10	10	NUM
cana-3480	168	12	10	10	NUM
cana-3480	168	13	10	10	NUM
cana-3480	168	14	10	10	NUM
cana-3480	168	15	10	10	NUM
cana-3480	168	16	10	10	NUM
cana-3480	168	17	24	24	NUM
cana-3480	168	18	25	25	NUM
cana-3480	168	19	24	24	NUM
cana-3480	168	20	24	24	NUM
cana-3480	168	21	24	24	NUM
cana-3480	168	22	24	24	NUM
cana-3480	168	23	24	24	NUM
cana-3480	168	24	24	24	NUM
cana-3480	168	25	21	21	NUM
cana-3480	168	26	21	21	NUM
cana-3480	168	27	22	22	NUM
cana-3480	168	28	21	21	NUM
cana-3480	168	29	21	21	NUM
cana-3480	168	30	21	21	NUM
cana-3480	168	31	21	21	NUM
cana-3480	168	32	21	21	NUM
cana-3480	168	33	0	0	NUM
cana-3480	168	34	0	0	NUM
cana-3480	168	35	0	0	NUM
cana-3480	168	36	0	0	NUM
cana-3480	168	37	0	0	NUM
cana-3480	168	38	0	0	NUM
cana-3480	168	39	0	0	NUM
cana-3480	168	40	0	0	NUM
cana-3480	168	41	1	1	NUM
cana-3480	168	42	1	1	NUM
cana-3480	168	43	1	1	NUM
cana-3480	168	44	1	1	NUM
cana-3480	168	45	0	0	NUM
cana-3480	168	46	1	1	NUM
cana-3480	168	47	2	2	NUM
cana-3480	168	48	1	1	NUM
cana-3480	168	49	25	25	NUM
cana-3480	168	50	25	25	NUM
cana-3480	168	51	25	25	NUM
cana-3480	168	52	25	25	NUM
cana-3480	168	53	25	25	NUM
cana-3480	168	54	24	24	NUM
cana-3480	168	55	25	25	NUM
cana-3480	168	56	26	26	NUM
cana-3480	168	57	10	10	NUM
cana-3480	168	58	10	10	NUM
cana-3480	168	59	10	10	NUM
cana-3480	168	60	10	10	NUM
cana-3480	168	61	11	11	NUM
cana-3480	168	62	10	10	NUM
cana-3480	168	63	9	9	NUM
cana-3480	168	64	10	10	NUM
cana-3480	168	65	21	21	NUM
cana-3480	168	66	21	21	NUM
cana-3480	168	67	21	21	NUM
cana-3480	168	68	21	21	NUM
cana-3480	168	69	21	21	NUM
cana-3480	168	70	22	22	NUM
cana-3480	168	71	21	21	NUM
cana-3480	168	72	20	20	NUM
cana-3480	168	73	communications	communication	NOUN
cana-3480	168	74	on	on	ADP
cana-3480	168	75	applied	apply	VERB
cana-3480	168	76	nonlinear	nonlinear	ADJ
cana-3480	168	77	analysis	analysis	NOUN
cana-3480	168	78	issn	issn	NOUN
cana-3480	168	79	:	:	PUNCT
cana-3480	168	80	1074	1074	NUM
cana-3480	168	81	-	-	PUNCT
cana-3480	168	82	133x	133x	NUM
cana-3480	168	83	vol	vol	NOUN
cana-3480	168	84	32	32	NUM
cana-3480	168	85	no	no	NOUN
cana-3480	168	86	.	.	PUNCT
cana-3480	169	1	7s	7	NOUN
cana-3480	169	2	(	(	PUNCT
cana-3480	169	3	2025	2025	NUM
cana-3480	169	4	)	)	PUNCT
cana-3480	169	5	756	756	NUM
cana-3480	169	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3480	169	7	decryption	decryption	NOUN
cana-3480	169	8	convert	convert	VERB
cana-3480	169	9	the	the	DET
cana-3480	169	10	alphabet	alphabet	NOUN
cana-3480	169	11	into	into	ADP
cana-3480	169	12	its	its	PRON
cana-3480	169	13	numerical	numerical	ADJ
cana-3480	169	14	value	value	NOUN
cana-3480	169	15	from	from	ADP
cana-3480	169	16	the	the	DET
cana-3480	169	17	standard	standard	ADJ
cana-3480	169	18	table	table	NOUN
cana-3480	169	19	as	as	SCONJ
cana-3480	169	20	shown	show	VERB
cana-3480	169	21	below	below	ADV
cana-3480	169	22	.	.	PUNCT
cana-3480	170	1	also	also	ADV
cana-3480	170	2	construct	construct	VERB
cana-3480	170	3	the	the	DET
cana-3480	170	4	adjacency	adjacency	NOUN
cana-3480	170	5	matrices	matrix	NOUN
cana-3480	170	6	from	from	ADP
cana-3480	170	7	the	the	DET
cana-3480	170	8	key	key	ADJ
cana-3480	170	9	-	-	PUNCT
cana-3480	170	10	value	value	NOUN
cana-3480	170	11	graphs	graph	NOUN
cana-3480	170	12	.	.	PUNCT
cana-3480	171	1	let	let	VERB
cana-3480	171	2	a	a	PRON
cana-3480	171	3	and	and	CCONJ
cana-3480	171	4	b	b	NOUN
cana-3480	171	5	be	be	AUX
cana-3480	171	6	that	that	DET
cana-3480	171	7	matrix	matrix	NOUN
cana-3480	171	8	[	[	PUNCT
cana-3480	171	9	11	11	NUM
cana-3480	171	10	24	24	NUM
cana-3480	171	11	21	21	NUM
cana-3480	171	12	0	0	NUM
cana-3480	171	13	1	1	NUM
cana-3480	171	14	25	25	NUM
cana-3480	171	15	10	10	NUM
cana-3480	171	16	21	21	NUM
cana-3480	171	17	10	10	NUM
cana-3480	171	18	25	25	NUM
cana-3480	171	19	21	21	NUM
cana-3480	171	20	0	0	NUM
cana-3480	171	21	1	1	NUM
cana-3480	171	22	25	25	NUM
cana-3480	171	23	10	10	NUM
cana-3480	171	24	21	21	NUM
cana-3480	171	25	10	10	NUM
cana-3480	171	26	24	24	NUM
cana-3480	171	27	22	22	NUM
cana-3480	171	28	0	0	NUM
cana-3480	171	29	1	1	NUM
cana-3480	171	30	25	25	NUM
cana-3480	171	31	10	10	NUM
cana-3480	171	32	21	21	NUM
cana-3480	171	33	10	10	NUM
cana-3480	171	34	24	24	NUM
cana-3480	171	35	21	21	NUM
cana-3480	171	36	0	0	NUM
cana-3480	171	37	1	1	NUM
cana-3480	171	38	25	25	NUM
cana-3480	171	39	10	10	NUM
cana-3480	171	40	21	21	NUM
cana-3480	171	41	10	10	NUM
cana-3480	171	42	24	24	NUM
cana-3480	171	43	21	21	NUM
cana-3480	171	44	0	0	NUM
cana-3480	171	45	0	0	NUM
cana-3480	172	1	25	25	NUM
cana-3480	172	2	11	11	NUM
cana-3480	172	3	21	21	NUM
cana-3480	172	4	10	10	NUM
cana-3480	172	5	24	24	NUM
cana-3480	172	6	21	21	NUM
cana-3480	172	7	0	0	NUM
cana-3480	172	8	1	1	NUM
cana-3480	172	9	24	24	NUM
cana-3480	172	10	10	10	NUM
cana-3480	172	11	22	22	NUM
cana-3480	172	12	10	10	NUM
cana-3480	172	13	24	24	NUM
cana-3480	172	14	21	21	NUM
cana-3480	172	15	0	0	NUM
cana-3480	172	16	2	2	NUM
cana-3480	172	17	25	25	NUM
cana-3480	172	18	9	9	NUM
cana-3480	172	19	21	21	NUM
cana-3480	172	20	10	10	NUM
cana-3480	172	21	24	24	NUM
cana-3480	172	22	21	21	NUM
cana-3480	172	23	0	0	NUM
cana-3480	172	24	1	1	NUM
cana-3480	172	25	26	26	NUM
cana-3480	172	26	10	10	NUM
cana-3480	172	27	20	20	NUM
cana-3480	172	28	]	]	PUNCT
cana-3480	172	29	a	a	PRON
cana-3480	172	30	=	=	SYM
cana-3480	172	31	b	b	NOUN
cana-3480	172	32	=	=	PRON
cana-3480	172	33	organize	organize	VERB
cana-3480	172	34	the	the	DET
cana-3480	172	35	above	above	ADJ
cana-3480	172	36	code	code	NOUN
cana-3480	172	37	into	into	ADP
cana-3480	172	38	a	a	DET
cana-3480	172	39	8x8	8x8	NUM
cana-3480	172	40	matrix	matrix	NOUN
cana-3480	172	41	.	.	PUNCT
cana-3480	173	1	let	let	VERB
cana-3480	173	2	c	c	NOUN
cana-3480	173	3	be	be	AUX
cana-3480	173	4	that	that	DET
cana-3480	173	5	matrix	matrix	NOUN
cana-3480	173	6	c	c	NOUN
cana-3480	173	7	=	=	PUNCT
cana-3480	173	8	now	now	ADV
cana-3480	173	9	,	,	PUNCT
cana-3480	173	10	merge	merge	VERB
cana-3480	173	11	the	the	DET
cana-3480	173	12	adjacency	adjacency	NOUN
cana-3480	173	13	matrices	matrice	VERB
cana-3480	173	14	a	a	PRON
cana-3480	173	15	and	and	CCONJ
cana-3480	173	16	b	b	NOUN
cana-3480	173	17	into	into	ADP
cana-3480	173	18	a	a	DET
cana-3480	173	19	single	single	ADJ
cana-3480	173	20	disjoint	disjoint	ADJ
cana-3480	173	21	square	square	ADJ
cana-3480	173	22	matrix	matrix	NOUN
cana-3480	173	23	,	,	PUNCT
cana-3480	173	24	forming	form	VERB
cana-3480	173	25	a	a	DET
cana-3480	173	26	new	new	ADJ
cana-3480	173	27	matrix	matrix	NOUN
cana-3480	173	28	d	d	NOUN
cana-3480	173	29	that	that	PRON
cana-3480	173	30	represents	represent	VERB
cana-3480	173	31	the	the	DET
cana-3480	173	32	combined	combined	ADJ
cana-3480	173	33	disjoint	disjoint	NOUN
cana-3480	173	34	graphs	graph	NOUN
cana-3480	173	35	.	.	PUNCT
cana-3480	174	1	a1	a1	NOUN
cana-3480	174	2	a2	a2	PROPN
cana-3480	174	3	a3	a3	NOUN
cana-3480	174	4	a1	a1	NOUN
cana-3480	174	5	1	1	NUM
cana-3480	174	6	0	0	NUM
cana-3480	174	7	0	0	NUM
cana-3480	174	8	a2	a2	PROPN
cana-3480	174	9	0	0	NUM
cana-3480	174	10	1	1	NUM
cana-3480	174	11	0	0	NUM
cana-3480	174	12	a3	a3	NOUN
cana-3480	174	13	0	0	NUM
cana-3480	174	14	0	0	NUM
cana-3480	174	15	1	1	NUM
cana-3480	174	16	a5	a5	NOUN
cana-3480	174	17	a6	a6	NOUN
cana-3480	174	18	a7	a7	PROPN
cana-3480	174	19	a8	a8	PROPN
cana-3480	174	20	a5	a5	PROPN
cana-3480	174	21	1	1	NUM
cana-3480	174	22	0	0	NUM
cana-3480	174	23	1	1	NUM
cana-3480	174	24	0	0	NUM
cana-3480	174	25	a6	a6	NOUN
cana-3480	174	26	0	0	NUM
cana-3480	174	27	1	1	NUM
cana-3480	174	28	0	0	NUM
cana-3480	174	29	1	1	NUM
cana-3480	174	30	a7	a7	NOUN
cana-3480	174	31	1	1	NUM
cana-3480	174	32	0	0	NUM
cana-3480	174	33	1	1	NUM
cana-3480	174	34	0	0	NUM
cana-3480	175	1	a8	a8	NOUN
cana-3480	175	2	0	0	NUM
cana-3480	175	3	1	1	NUM
cana-3480	175	4	0	0	NUM
cana-3480	175	5	1	1	NUM
cana-3480	175	6	11	11	NUM
cana-3480	175	7	10	10	NUM
cana-3480	175	8	10	10	NUM
cana-3480	175	9	10	10	NUM
cana-3480	175	10	10	10	NUM
cana-3480	175	11	10	10	NUM
cana-3480	175	12	10	10	NUM
cana-3480	175	13	10	10	NUM
cana-3480	175	14	24	24	NUM
cana-3480	175	15	25	25	NUM
cana-3480	175	16	24	24	NUM
cana-3480	175	17	24	24	NUM
cana-3480	175	18	24	24	NUM
cana-3480	175	19	24	24	NUM
cana-3480	175	20	24	24	NUM
cana-3480	175	21	24	24	NUM
cana-3480	175	22	21	21	NUM
cana-3480	175	23	21	21	NUM
cana-3480	175	24	22	22	NUM
cana-3480	175	25	21	21	NUM
cana-3480	175	26	21	21	NUM
cana-3480	175	27	21	21	NUM
cana-3480	175	28	21	21	NUM
cana-3480	175	29	21	21	NUM
cana-3480	175	30	0	0	NUM
cana-3480	175	31	0	0	NUM
cana-3480	175	32	0	0	NUM
cana-3480	175	33	0	0	NUM
cana-3480	175	34	0	0	NUM
cana-3480	175	35	0	0	NUM
cana-3480	175	36	0	0	NUM
cana-3480	175	37	0	0	NUM
cana-3480	175	38	1	1	NUM
cana-3480	175	39	1	1	NUM
cana-3480	175	40	1	1	NUM
cana-3480	175	41	1	1	NUM
cana-3480	175	42	0	0	NUM
cana-3480	175	43	1	1	NUM
cana-3480	175	44	2	2	NUM
cana-3480	175	45	1	1	NUM
cana-3480	175	46	25	25	NUM
cana-3480	175	47	25	25	NUM
cana-3480	175	48	25	25	NUM
cana-3480	175	49	25	25	NUM
cana-3480	175	50	25	25	NUM
cana-3480	175	51	24	24	NUM
cana-3480	175	52	25	25	NUM
cana-3480	175	53	26	26	NUM
cana-3480	175	54	10	10	NUM
cana-3480	175	55	10	10	NUM
cana-3480	175	56	10	10	NUM
cana-3480	175	57	10	10	NUM
cana-3480	175	58	11	11	NUM
cana-3480	175	59	10	10	NUM
cana-3480	175	60	9	9	NUM
cana-3480	175	61	10	10	NUM
cana-3480	175	62	21	21	NUM
cana-3480	175	63	21	21	NUM
cana-3480	175	64	21	21	NUM
cana-3480	175	65	21	21	NUM
cana-3480	175	66	21	21	NUM
cana-3480	175	67	22	22	NUM
cana-3480	175	68	21	21	NUM
cana-3480	175	69	20	20	NUM
cana-3480	175	70	communications	communication	NOUN
cana-3480	175	71	on	on	ADP
cana-3480	175	72	applied	apply	VERB
cana-3480	175	73	nonlinear	nonlinear	ADJ
cana-3480	175	74	analysis	analysis	NOUN
cana-3480	175	75	issn	issn	NOUN
cana-3480	175	76	:	:	PUNCT
cana-3480	175	77	1074	1074	NUM
cana-3480	175	78	-	-	PUNCT
cana-3480	175	79	133x	133x	NUM
cana-3480	175	80	vol	vol	NOUN
cana-3480	175	81	32	32	NUM
cana-3480	175	82	no	no	NOUN
cana-3480	175	83	.	.	PUNCT
cana-3480	176	1	7s	7	NOUN
cana-3480	176	2	(	(	PUNCT
cana-3480	176	3	2025	2025	NUM
cana-3480	176	4	)	)	PUNCT
cana-3480	176	5	757	757	PROPN
cana-3480	177	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3480	177	2	d	d	NOUN
cana-3480	177	3	=	=	PRON
cana-3480	177	4	find	find	VERB
cana-3480	177	5	the	the	DET
cana-3480	177	6	adjoint	adjoint	NOUN
cana-3480	177	7	matrix	matrix	NOUN
cana-3480	177	8	of	of	ADP
cana-3480	177	9	the	the	DET
cana-3480	177	10	above	above	ADJ
cana-3480	177	11	obtained	obtain	VERB
cana-3480	177	12	matrix	matrix	NOUN
cana-3480	177	13	d	d	NOUN
cana-3480	177	14	adj(d	adj(d	PROPN
cana-3480	177	15	)	)	PUNCT
cana-3480	177	16	=	=	PRON
cana-3480	177	17	subtract	subtract	VERB
cana-3480	177	18	the	the	DET
cana-3480	177	19	adjoint	adjoint	NOUN
cana-3480	177	20	matrix	matrix	NOUN
cana-3480	177	21	d	d	NOUN
cana-3480	177	22	from	from	ADP
cana-3480	177	23	the	the	DET
cana-3480	177	24	matrix	matrix	NOUN
cana-3480	177	25	c	c	NOUN
cana-3480	177	26	and	and	CCONJ
cana-3480	177	27	obtain	obtain	VERB
cana-3480	177	28	a	a	DET
cana-3480	177	29	new	new	ADJ
cana-3480	177	30	matrix	matrix	NOUN
cana-3480	177	31	e	e	X
cana-3480	177	32	e	e	NOUN
cana-3480	177	33	=	=	PUNCT
cana-3480	177	34	now	now	ADV
cana-3480	177	35	,	,	PUNCT
cana-3480	177	36	extract	extract	VERB
cana-3480	177	37	the	the	DET
cana-3480	177	38	common	common	ADJ
cana-3480	177	39	numbers	number	NOUN
cana-3480	177	40	from	from	ADP
cana-3480	177	41	each	each	DET
cana-3480	177	42	column	column	NOUN
cana-3480	177	43	.	.	PUNCT
cana-3480	178	1	the	the	DET
cana-3480	178	2	numbers	number	NOUN
cana-3480	178	3	are	be	AUX
cana-3480	178	4	:	:	PUNCT
cana-3480	178	5	[	[	PUNCT
cana-3480	178	6	10	10	NUM
cana-3480	178	7	24	24	NUM
cana-3480	178	8	21	21	NUM
cana-3480	178	9	0	0	NUM
cana-3480	178	10	1	1	NUM
cana-3480	178	11	25	25	NUM
cana-3480	178	12	10	10	NUM
cana-3480	178	13	21	21	NUM
cana-3480	178	14	]	]	SYM
cana-3480	178	15	1	1	NUM
cana-3480	178	16	0	0	NUM
cana-3480	178	17	0	0	NUM
cana-3480	178	18	0	0	NUM
cana-3480	178	19	0	0	NUM
cana-3480	178	20	0	0	NUM
cana-3480	178	21	0	0	NUM
cana-3480	178	22	0	0	NUM
cana-3480	178	23	0	0	NUM
cana-3480	178	24	1	1	NUM
cana-3480	178	25	0	0	NUM
cana-3480	178	26	0	0	NUM
cana-3480	178	27	0	0	NUM
cana-3480	178	28	0	0	NUM
cana-3480	178	29	0	0	NUM
cana-3480	178	30	0	0	NUM
cana-3480	178	31	0	0	NUM
cana-3480	178	32	0	0	NUM
cana-3480	178	33	1	1	NUM
cana-3480	178	34	0	0	NUM
cana-3480	178	35	0	0	NUM
cana-3480	178	36	0	0	NUM
cana-3480	178	37	0	0	NUM
cana-3480	178	38	0	0	NUM
cana-3480	178	39	0	0	NUM
cana-3480	178	40	0	0	NUM
cana-3480	178	41	0	0	NUM
cana-3480	178	42	0	0	NUM
cana-3480	178	43	0	0	NUM
cana-3480	178	44	0	0	NUM
cana-3480	178	45	0	0	NUM
cana-3480	178	46	0	0	NUM
cana-3480	178	47	0	0	NUM
cana-3480	178	48	0	0	NUM
cana-3480	178	49	0	0	NUM
cana-3480	178	50	0	0	NUM
cana-3480	178	51	1	1	NUM
cana-3480	178	52	0	0	NUM
cana-3480	178	53	1	1	NUM
cana-3480	178	54	0	0	NUM
cana-3480	178	55	0	0	NUM
cana-3480	178	56	0	0	NUM
cana-3480	178	57	0	0	NUM
cana-3480	178	58	0	0	NUM
cana-3480	178	59	0	0	NUM
cana-3480	178	60	1	1	NUM
cana-3480	178	61	0	0	NUM
cana-3480	178	62	1	1	NUM
cana-3480	178	63	0	0	NUM
cana-3480	178	64	0	0	NUM
cana-3480	178	65	0	0	NUM
cana-3480	178	66	0	0	NUM
cana-3480	178	67	1	1	NUM
cana-3480	178	68	0	0	NUM
cana-3480	178	69	1	1	NUM
cana-3480	178	70	0	0	NUM
cana-3480	178	71	0	0	NUM
cana-3480	178	72	0	0	NUM
cana-3480	178	73	0	0	NUM
cana-3480	178	74	0	0	NUM
cana-3480	178	75	0	0	NUM
cana-3480	178	76	1	1	NUM
cana-3480	178	77	0	0	NUM
cana-3480	178	78	1	1	NUM
cana-3480	178	79	1	1	NUM
cana-3480	178	80	0	0	NUM
cana-3480	178	81	0	0	NUM
cana-3480	178	82	0	0	NUM
cana-3480	178	83	0	0	NUM
cana-3480	178	84	0	0	NUM
cana-3480	178	85	0	0	NUM
cana-3480	178	86	0	0	NUM
cana-3480	178	87	0	0	NUM
cana-3480	178	88	1	1	NUM
cana-3480	178	89	0	0	NUM
cana-3480	178	90	0	0	NUM
cana-3480	178	91	0	0	NUM
cana-3480	178	92	0	0	NUM
cana-3480	178	93	0	0	NUM
cana-3480	178	94	0	0	NUM
cana-3480	178	95	0	0	NUM
cana-3480	178	96	0	0	NUM
cana-3480	178	97	1	1	NUM
cana-3480	178	98	0	0	NUM
cana-3480	178	99	0	0	NUM
cana-3480	178	100	0	0	NUM
cana-3480	178	101	0	0	NUM
cana-3480	178	102	0	0	NUM
cana-3480	178	103	0	0	NUM
cana-3480	178	104	0	0	NUM
cana-3480	178	105	0	0	NUM
cana-3480	178	106	0	0	NUM
cana-3480	178	107	0	0	NUM
cana-3480	178	108	0	0	NUM
cana-3480	178	109	0	0	NUM
cana-3480	178	110	0	0	NUM
cana-3480	178	111	0	0	NUM
cana-3480	178	112	0	0	NUM
cana-3480	178	113	0	0	NUM
cana-3480	178	114	0	0	NUM
cana-3480	179	1	-1	-1	SYM
cana-3480	179	2	0	0	NUM
cana-3480	180	1	1	1	NUM
cana-3480	180	2	0	0	NUM
cana-3480	180	3	0	0	NUM
cana-3480	180	4	0	0	NUM
cana-3480	180	5	0	0	NUM
cana-3480	180	6	0	0	NUM
cana-3480	180	7	0	0	NUM
cana-3480	180	8	-1	-1	SYM
cana-3480	180	9	0	0	NUM
cana-3480	181	1	1	1	NUM
cana-3480	181	2	0	0	NUM
cana-3480	181	3	0	0	NUM
cana-3480	181	4	0	0	NUM
cana-3480	181	5	0	0	NUM
cana-3480	181	6	1	1	NUM
cana-3480	181	7	0	0	NUM
cana-3480	181	8	-1	-1	SYM
cana-3480	181	9	0	0	NUM
cana-3480	182	1	0	0	NUM
cana-3480	182	2	0	0	NUM
cana-3480	182	3	0	0	NUM
cana-3480	182	4	0	0	NUM
cana-3480	182	5	0	0	NUM
cana-3480	182	6	1	1	NUM
cana-3480	182	7	0	0	NUM
cana-3480	182	8	-1	-1	SYM
cana-3480	183	1	10	10	NUM
cana-3480	183	2	10	10	NUM
cana-3480	183	3	10	10	NUM
cana-3480	183	4	10	10	NUM
cana-3480	183	5	10	10	NUM
cana-3480	183	6	10	10	NUM
cana-3480	183	7	10	10	NUM
cana-3480	183	8	10	10	NUM
cana-3480	183	9	24	24	NUM
cana-3480	183	10	24	24	NUM
cana-3480	183	11	24	24	NUM
cana-3480	183	12	24	24	NUM
cana-3480	183	13	24	24	NUM
cana-3480	183	14	24	24	NUM
cana-3480	183	15	24	24	NUM
cana-3480	183	16	24	24	NUM
cana-3480	183	17	21	21	NUM
cana-3480	183	18	21	21	NUM
cana-3480	183	19	21	21	NUM
cana-3480	183	20	21	21	NUM
cana-3480	183	21	21	21	NUM
cana-3480	183	22	21	21	NUM
cana-3480	183	23	21	21	NUM
cana-3480	183	24	21	21	NUM
cana-3480	183	25	0	0	NUM
cana-3480	183	26	0	0	NUM
cana-3480	183	27	0	0	NUM
cana-3480	183	28	0	0	NUM
cana-3480	183	29	0	0	NUM
cana-3480	183	30	0	0	NUM
cana-3480	183	31	0	0	NUM
cana-3480	183	32	0	0	NUM
cana-3480	183	33	1	1	NUM
cana-3480	183	34	1	1	NUM
cana-3480	183	35	1	1	NUM
cana-3480	183	36	1	1	NUM
cana-3480	183	37	1	1	NUM
cana-3480	183	38	1	1	NUM
cana-3480	183	39	1	1	NUM
cana-3480	183	40	1	1	NUM
cana-3480	183	41	25	25	NUM
cana-3480	183	42	25	25	NUM
cana-3480	183	43	25	25	NUM
cana-3480	183	44	25	25	NUM
cana-3480	183	45	25	25	NUM
cana-3480	183	46	25	25	NUM
cana-3480	183	47	25	25	NUM
cana-3480	183	48	25	25	NUM
cana-3480	183	49	10	10	NUM
cana-3480	183	50	10	10	NUM
cana-3480	183	51	10	10	NUM
cana-3480	183	52	10	10	NUM
cana-3480	183	53	10	10	NUM
cana-3480	183	54	10	10	NUM
cana-3480	183	55	10	10	NUM
cana-3480	183	56	10	10	NUM
cana-3480	183	57	21	21	NUM
cana-3480	183	58	21	21	NUM
cana-3480	183	59	21	21	NUM
cana-3480	183	60	21	21	NUM
cana-3480	183	61	21	21	NUM
cana-3480	183	62	21	21	NUM
cana-3480	183	63	21	21	NUM
cana-3480	183	64	21	21	NUM
cana-3480	183	65	communications	communication	NOUN
cana-3480	183	66	on	on	ADP
cana-3480	183	67	applied	apply	VERB
cana-3480	183	68	nonlinear	nonlinear	ADJ
cana-3480	183	69	analysis	analysis	NOUN
cana-3480	183	70	issn	issn	NOUN
cana-3480	183	71	:	:	PUNCT
cana-3480	183	72	1074	1074	NUM
cana-3480	183	73	-	-	PUNCT
cana-3480	183	74	133x	133x	NUM
cana-3480	183	75	vol	vol	NOUN
cana-3480	183	76	32	32	NUM
cana-3480	183	77	no	no	NOUN
cana-3480	183	78	.	.	PUNCT
cana-3480	184	1	7s	7	NOUN
cana-3480	184	2	(	(	PUNCT
cana-3480	184	3	2025	2025	NUM
cana-3480	184	4	)	)	PUNCT
cana-3480	184	5	758	758	NUM
cana-3480	184	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3480	184	7	apply	apply	VERB
cana-3480	184	8	the	the	DET
cana-3480	184	9	key	key	ADJ
cana-3480	184	10	operation	operation	NOUN
cana-3480	184	11	:	:	PUNCT
cana-3480	185	1	n.v	n.v	X
cana-3480	185	2	.	.	PUNCT
cana-3480	186	1	+	+	CCONJ
cana-3480	186	2	9	9	NUM
cana-3480	186	3	(	(	PUNCT
cana-3480	186	4	mod	mod	NOUN
cana-3480	186	5	26	26	NUM
cana-3480	186	6	)	)	PUNCT
cana-3480	186	7	and	and	CCONJ
cana-3480	186	8	refer	refer	VERB
cana-3480	186	9	to	to	ADP
cana-3480	186	10	the	the	DET
cana-3480	186	11	standard	standard	ADJ
cana-3480	186	12	table	table	NOUN
cana-3480	186	13	to	to	PART
cana-3480	186	14	determine	determine	VERB
cana-3480	186	15	the	the	DET
cana-3480	186	16	value	value	NOUN
cana-3480	186	17	and	and	CCONJ
cana-3480	186	18	consider	consider	VERB
cana-3480	186	19	0	0	NUM
cana-3480	186	20	as	as	ADP
cana-3480	186	21	a	a	DET
cana-3480	186	22	space	space	NOUN
cana-3480	186	23	between	between	ADP
cana-3480	186	24	the	the	DET
cana-3480	186	25	words	word	NOUN
cana-3480	186	26	.	.	PUNCT
cana-3480	187	1	consequently	consequently	ADV
cana-3480	187	2	,	,	PUNCT
cana-3480	187	3	the	the	DET
cana-3480	187	4	original	original	ADJ
cana-3480	187	5	message	message	NOUN
cana-3480	187	6	is	be	AUX
cana-3480	187	7	revealed	reveal	VERB
cana-3480	187	8	as	as	ADP
cana-3480	187	9	:	:	PUNCT
cana-3480	187	10	“	"	PUNCT
cana-3480	187	11	the	the	DET
cana-3480	187	12	kite	kite	NOUN
cana-3480	187	13	”	"	PUNCT
cana-3480	187	14	4	4	NUM
cana-3480	187	15	.	.	PUNCT
cana-3480	187	16	discussion	discussion	NOUN
cana-3480	187	17	in	in	ADP
cana-3480	187	18	conclusion	conclusion	NOUN
cana-3480	187	19	,	,	PUNCT
cana-3480	187	20	our	our	PRON
cana-3480	187	21	research	research	NOUN
cana-3480	187	22	demonstrates	demonstrate	VERB
cana-3480	187	23	the	the	DET
cana-3480	187	24	effectiveness	effectiveness	NOUN
cana-3480	187	25	of	of	ADP
cana-3480	187	26	leveraging	leverage	VERB
cana-3480	187	27	graph	graph	NOUN
cana-3480	187	28	theory	theory	NOUN
cana-3480	187	29	in	in	ADP
cana-3480	187	30	cryptography	cryptography	NOUN
cana-3480	187	31	,	,	PUNCT
cana-3480	187	32	specifically	specifically	ADV
cana-3480	187	33	through	through	ADP
cana-3480	187	34	the	the	DET
cana-3480	187	35	use	use	NOUN
cana-3480	187	36	of	of	ADP
cana-3480	187	37	graph	graph	NOUN
cana-3480	187	38	complements	complement	NOUN
cana-3480	187	39	,	,	PUNCT
cana-3480	187	40	adjacency	adjacency	NOUN
cana-3480	187	41	matrices	matrix	NOUN
cana-3480	187	42	,	,	PUNCT
cana-3480	187	43	and	and	CCONJ
cana-3480	187	44	adjoints	adjoint	NOUN
cana-3480	187	45	of	of	ADP
cana-3480	187	46	matrices	matrix	NOUN
cana-3480	187	47	for	for	ADP
cana-3480	187	48	encryption	encryption	NOUN
cana-3480	187	49	and	and	CCONJ
cana-3480	187	50	decryption	decryption	NOUN
cana-3480	187	51	.	.	PUNCT
cana-3480	188	1	by	by	ADP
cana-3480	188	2	utilizing	utilize	VERB
cana-3480	188	3	the	the	DET
cana-3480	188	4	structural	structural	ADJ
cana-3480	188	5	intricacies	intricacy	NOUN
cana-3480	188	6	of	of	ADP
cana-3480	188	7	graph	graph	NOUN
cana-3480	188	8	complements	complement	NOUN
cana-3480	188	9	,	,	PUNCT
cana-3480	188	10	we	we	PRON
cana-3480	188	11	successfully	successfully	ADV
cana-3480	188	12	obscure	obscure	VERB
cana-3480	188	13	single	single	ADJ
cana-3480	188	14	-	-	PUNCT
cana-3480	188	15	word	word	NOUN
cana-3480	188	16	messages	message	NOUN
cana-3480	188	17	,	,	PUNCT
cana-3480	188	18	enhancing	enhance	VERB
cana-3480	188	19	security	security	NOUN
cana-3480	188	20	through	through	ADP
cana-3480	188	21	inherent	inherent	ADJ
cana-3480	188	22	graph	graph	NOUN
cana-3480	188	23	complexity	complexity	NOUN
cana-3480	188	24	.	.	PUNCT
cana-3480	189	1	for	for	ADP
cana-3480	189	2	multi	multi	ADJ
cana-3480	189	3	-	-	ADJ
cana-3480	189	4	word	word	NOUN
cana-3480	189	5	messages	message	NOUN
cana-3480	189	6	,	,	PUNCT
cana-3480	189	7	the	the	DET
cana-3480	189	8	application	application	NOUN
cana-3480	189	9	of	of	ADP
cana-3480	189	10	disjoint	disjoint	ADJ
cana-3480	189	11	matrices	matrix	NOUN
cana-3480	189	12	for	for	ADP
cana-3480	189	13	each	each	DET
cana-3480	189	14	word	word	NOUN
cana-3480	189	15	,	,	PUNCT
cana-3480	189	16	treated	treat	VERB
cana-3480	189	17	as	as	ADP
cana-3480	189	18	separate	separate	ADJ
cana-3480	189	19	complete	complete	ADJ
cana-3480	189	20	graphs	graph	NOUN
cana-3480	189	21	,	,	PUNCT
cana-3480	189	22	further	far	ADV
cana-3480	189	23	complicates	complicate	VERB
cana-3480	189	24	the	the	DET
cana-3480	189	25	cryptographic	cryptographic	ADJ
cana-3480	189	26	process	process	NOUN
cana-3480	189	27	,	,	PUNCT
cana-3480	189	28	with	with	ADP
cana-3480	189	29	spaces	space	NOUN
cana-3480	189	30	represented	represent	VERB
cana-3480	189	31	by	by	ADP
cana-3480	189	32	zero	zero	NUM
cana-3480	189	33	segments	segment	NOUN
cana-3480	189	34	within	within	ADP
cana-3480	189	35	the	the	DET
cana-3480	189	36	matrix	matrix	NOUN
cana-3480	189	37	.	.	PUNCT
cana-3480	190	1	this	this	DET
cana-3480	190	2	method	method	NOUN
cana-3480	190	3	robustly	robustly	ADV
cana-3480	190	4	secures	secure	VERB
cana-3480	190	5	encoded	encode	VERB
cana-3480	190	6	messages	message	NOUN
cana-3480	190	7	,	,	PUNCT
cana-3480	190	8	making	make	VERB
cana-3480	190	9	it	it	PRON
cana-3480	190	10	significantly	significantly	ADV
cana-3480	190	11	challenging	challenge	VERB
cana-3480	190	12	for	for	ADP
cana-3480	190	13	adversaries	adversary	NOUN
cana-3480	190	14	to	to	ADP
cana-3480	190	15	decipher	decipher	NOUN
cana-3480	190	16	without	without	ADP
cana-3480	190	17	the	the	DET
cana-3480	190	18	appropriate	appropriate	ADJ
cana-3480	190	19	key	key	NOUN
cana-3480	190	20	.	.	PUNCT
cana-3480	191	1	our	our	PRON
cana-3480	191	2	findings	finding	NOUN
cana-3480	191	3	underscore	underscore	VERB
cana-3480	191	4	the	the	DET
cana-3480	191	5	potential	potential	NOUN
cana-3480	191	6	of	of	ADP
cana-3480	191	7	graph	graph	NOUN
cana-3480	191	8	theory	theory	NOUN
cana-3480	191	9	to	to	PART
cana-3480	191	10	contribute	contribute	VERB
cana-3480	191	11	to	to	ADP
cana-3480	191	12	advanced	advanced	ADJ
cana-3480	191	13	cryptographic	cryptographic	ADJ
cana-3480	191	14	techniques	technique	NOUN
cana-3480	191	15	,	,	PUNCT
cana-3480	191	16	offering	offer	VERB
cana-3480	191	17	a	a	DET
cana-3480	191	18	novel	novel	ADJ
cana-3480	191	19	approach	approach	NOUN
cana-3480	191	20	to	to	PART
cana-3480	191	21	secure	secure	VERB
cana-3480	191	22	communication	communication	NOUN
cana-3480	191	23	.	.	PUNCT
cana-3480	192	1	references	reference	NOUN
cana-3480	192	2	[	[	X
cana-3480	192	3	1	1	NUM
cana-3480	192	4	]	]	SYM
cana-3480	192	5	nandhini	nandhini	PROPN
cana-3480	192	6	,	,	PUNCT
cana-3480	192	7	r.	r.	PROPN
cana-3480	192	8	,	,	PUNCT
cana-3480	192	9	maheswari	maheswari	PROPN
cana-3480	192	10	,	,	PUNCT
cana-3480	192	11	v.	v.	PROPN
cana-3480	192	12	and	and	CCONJ
cana-3480	192	13	balaji	balaji	PROPN
cana-3480	192	14	,	,	PUNCT
cana-3480	192	15	v.(2018	v.(2018	PROPN
cana-3480	192	16	)	)	PUNCT
cana-3480	192	17	'	'	PUNCT
cana-3480	192	18	a	a	DET
cana-3480	192	19	graph	graph	NOUN
cana-3480	192	20	theory	theory	NOUN
cana-3480	192	21	approach	approach	NOUN
cana-3480	192	22	on	on	ADP
cana-3480	192	23	cryptography	cryptography	NOUN
cana-3480	192	24	'	'	PUNCT
cana-3480	192	25	,	,	PUNCT
cana-3480	192	26	journal	journal	NOUN
cana-3480	192	27	of	of	ADP
cana-3480	192	28	computational	computational	ADJ
cana-3480	192	29	mathematica	mathematica	PROPN
cana-3480	192	30	,	,	PUNCT
cana-3480	192	31	2(1	2(1	NUM
cana-3480	192	32	)	)	PUNCT
cana-3480	192	33	,	,	PUNCT
cana-3480	192	34	pp	pp	PROPN
cana-3480	192	35	.	.	PUNCT
cana-3480	193	1	97	97	NUM
cana-3480	193	2	-	-	SYM
cana-3480	193	3	104	104	NUM
cana-3480	193	4	.	.	PUNCT
cana-3480	194	1	[	[	X
cana-3480	194	2	2	2	NUM
cana-3480	194	3	]	]	PUNCT
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cana-3480	194	5	,	,	PUNCT
cana-3480	194	6	d.k	d.k	PROPN
cana-3480	194	7	.	.	PROPN
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cana-3480	194	10	,	,	PUNCT
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cana-3480	194	12	)	)	PUNCT
cana-3480	194	13	'	'	PUNCT
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cana-3480	194	15	antimagic	antimagic	NOUN
cana-3480	194	16	labeled	label	VERB
cana-3480	194	17	graphs	graph	NOUN
cana-3480	194	18	from	from	ADP
cana-3480	194	19	graph	graph	NOUN
cana-3480	194	20	theory	theory	NOUN
cana-3480	194	21	for	for	ADP
cana-3480	194	22	cryptography	cryptography	NOUN
cana-3480	194	23	applications	application	NOUN
cana-3480	194	24	'	'	PART
cana-3480	194	25	,	,	PUNCT
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cana-3480	194	27	journal	journal	NOUN
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cana-3480	194	30	research	research	NOUN
cana-3480	194	31	in	in	ADP
cana-3480	194	32	mathematical	mathematical	ADJ
cana-3480	194	33	and	and	CCONJ
cana-3480	194	34	statistical	statistical	ADJ
cana-3480	194	35	sciences	science	NOUN
cana-3480	194	36	,	,	PUNCT
cana-3480	194	37	9(3	9(3	NUM
cana-3480	194	38	)	)	PUNCT
cana-3480	194	39	,	,	PUNCT
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cana-3480	194	41	.	.	PUNCT
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cana-3480	195	2	.	.	PUNCT
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cana-3480	196	2	3	3	NUM
cana-3480	196	3	]	]	X
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cana-3480	196	5	,	,	PUNCT
cana-3480	196	6	p.	p.	PROPN
cana-3480	196	7	,	,	PUNCT
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cana-3480	196	11	a.c	a.c	PROPN
cana-3480	196	12	.	.	PROPN
cana-3480	196	13	and	and	CCONJ
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cana-3480	196	15	sheela	sheela	PROPN
cana-3480	196	16	,	,	PUNCT
cana-3480	196	17	a.c.(2018	a.c.(2018	PROPN
cana-3480	196	18	)	)	PUNCT
cana-3480	196	19	'	'	PUNCT
cana-3480	196	20	an	an	DET
cana-3480	196	21	application	application	NOUN
cana-3480	196	22	of	of	ADP
cana-3480	196	23	graph	graph	NOUN
cana-3480	196	24	theory	theory	NOUN
cana-3480	196	25	in	in	ADP
cana-3480	196	26	cryptography	cryptography	NOUN
cana-3480	196	27	'	'	PUNCT
cana-3480	196	28	,	,	PUNCT
cana-3480	196	29	international	international	ADJ
cana-3480	196	30	journal	journal	NOUN
cana-3480	196	31	of	of	ADP
cana-3480	196	32	pure	pure	ADJ
cana-3480	196	33	and	and	CCONJ
cana-3480	196	34	applied	applied	ADJ
cana-3480	196	35	mathematics	mathematic	NOUN
cana-3480	196	36	,	,	PUNCT
cana-3480	196	37	119(13	119(13	NUM
cana-3480	196	38	)	)	PUNCT
cana-3480	196	39	,	,	PUNCT
cana-3480	196	40	pp	pp	PROPN
cana-3480	196	41	.	.	PUNCT
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cana-3480	197	2	-	-	SYM
cana-3480	197	3	383	383	NUM
cana-3480	197	4	.	.	PUNCT
cana-3480	198	1	[	[	X
cana-3480	198	2	4	4	NUM
cana-3480	198	3	]	]	X
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cana-3480	198	5	,	,	PUNCT
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cana-3480	198	11	)	)	PUNCT
cana-3480	198	12	'	'	PUNCT
cana-3480	198	13	applying	apply	VERB
cana-3480	198	14	graph	graph	NOUN
cana-3480	198	15	theory	theory	NOUN
cana-3480	198	16	to	to	PART
cana-3480	198	17	secure	secure	VERB
cana-3480	198	18	data	datum	NOUN
cana-3480	198	19	by	by	ADP
cana-3480	198	20	cryptography	cryptography	NOUN
cana-3480	198	21	'	'	PUNCT
cana-3480	198	22	,	,	PUNCT
cana-3480	198	23	international	international	ADJ
cana-3480	198	24	journal	journal	NOUN
cana-3480	198	25	of	of	ADP
cana-3480	198	26	linguistics	linguistic	NOUN
cana-3480	198	27	and	and	CCONJ
cana-3480	198	28	computational	computational	ADJ
cana-3480	198	29	applications	application	NOUN
cana-3480	198	30	(	(	PUNCT
cana-3480	198	31	ijlca	ijlca	NOUN
cana-3480	198	32	)	)	PUNCT
cana-3480	198	33	,	,	PUNCT
cana-3480	198	34	8(1	8(1	NOUN
cana-3480	198	35	)	)	PUNCT
cana-3480	198	36	,	,	PUNCT
cana-3480	198	37	pp	pp	ADJ
cana-3480	198	38	.	.	PUNCT
cana-3480	198	39	1	1	NUM
cana-3480	198	40	-	-	SYM
cana-3480	198	41	3	3	NUM
cana-3480	198	42	[	[	X
cana-3480	198	43	5	5	NUM
cana-3480	198	44	]	]	X
cana-3480	198	45	krishnaa	krishnaa	ADJ
cana-3480	198	46	,	,	PUNCT
cana-3480	198	47	a.(2021	a.(2021	PROPN
cana-3480	198	48	)	)	PUNCT
cana-3480	198	49	'	'	PUNCT
cana-3480	198	50	certain	certain	ADJ
cana-3480	198	51	specific	specific	ADJ
cana-3480	198	52	graphs	graph	NOUN
cana-3480	198	53	in	in	ADP
cana-3480	198	54	cryptography	cryptography	NOUN
cana-3480	198	55	'	'	PUNCT
cana-3480	198	56	,	,	PUNCT
cana-3480	198	57	advances	advance	NOUN
cana-3480	198	58	and	and	CCONJ
cana-3480	198	59	applications	application	NOUN
cana-3480	198	60	in	in	ADP
cana-3480	198	61	discrete	discrete	ADJ
cana-3480	198	62	mathematics	mathematic	NOUN
cana-3480	198	63	,	,	PUNCT
cana-3480	198	64	26(2	26(2	NUM
cana-3480	198	65	)	)	PUNCT
cana-3480	198	66	,	,	PUNCT
cana-3480	198	67	pp	pp	ADP
cana-3480	198	68	.	.	PUNCT
cana-3480	199	1	157	157	NUM
cana-3480	199	2	-	-	SYM
cana-3480	199	3	177	177	NUM
cana-3480	199	4	[	[	X
cana-3480	199	5	6	6	NUM
cana-3480	199	6	]	]	PUNCT
cana-3480	199	7	chowdhury	chowdhury	PROPN
cana-3480	199	8	,	,	PUNCT
cana-3480	199	9	s.	s.	PROPN
cana-3480	199	10	,	,	PUNCT
cana-3480	199	11	ghosh	ghosh	PROPN
cana-3480	199	12	,	,	PUNCT
cana-3480	199	13	p.	p.	PROPN
cana-3480	199	14	and	and	CCONJ
cana-3480	199	15	jana	jana	PROPN
cana-3480	199	16	,	,	PUNCT
cana-3480	199	17	m.(2020	m.(2020	PROPN
cana-3480	199	18	)	)	PUNCT
cana-3480	199	19	'	'	PUNCT
cana-3480	199	20	an	an	DET
cana-3480	199	21	approach	approach	NOUN
cana-3480	199	22	of	of	ADP
cana-3480	199	23	graph	graph	NOUN
cana-3480	199	24	theory	theory	NOUN
cana-3480	199	25	for	for	ADP
cana-3480	199	26	solving	solve	VERB
cana-3480	199	27	cryptographic	cryptographic	ADJ
cana-3480	199	28	problem	problem	NOUN
cana-3480	199	29	'	'	PUNCT
cana-3480	199	30	,	,	PUNCT
cana-3480	199	31	bkgc	bkgc	PROPN
cana-3480	199	32	scholars	scholars	PROPN
cana-3480	199	33	,	,	PUNCT
cana-3480	199	34	1(2	1(2	NUM
cana-3480	199	35	)	)	PUNCT
cana-3480	199	36	,	,	PUNCT
cana-3480	200	1	pp	pp	ADP
cana-3480	200	2	.	.	PUNCT
cana-3480	201	1	64	64	NUM
cana-3480	201	2	-	-	SYM
cana-3480	201	3	68	68	NUM
cana-3480	201	4	.	.	PUNCT
cana-3480	202	1	[	[	X
cana-3480	202	2	7	7	NUM
cana-3480	202	3	]	]	X
cana-3480	202	4	lalitha	lalitha	X
cana-3480	202	5	,	,	PUNCT
cana-3480	202	6	m.	m.	NOUN
cana-3480	202	7	and	and	CCONJ
cana-3480	202	8	vasu	vasu	PROPN
cana-3480	202	9	,	,	PUNCT
cana-3480	202	10	s.(2023	s.(2023	PROPN
cana-3480	202	11	)	)	PUNCT
cana-3480	202	12	'	'	PUNCT
cana-3480	202	13	a	a	DET
cana-3480	202	14	study	study	NOUN
cana-3480	202	15	on	on	ADP
cana-3480	202	16	graph	graph	NOUN
cana-3480	202	17	theory	theory	NOUN
cana-3480	202	18	in	in	ADP
cana-3480	202	19	cryptography	cryptography	NOUN
cana-3480	202	20	using	use	VERB
cana-3480	202	21	python	python	NOUN
cana-3480	202	22	'	'	PART
cana-3480	202	23	,	,	PUNCT
cana-3480	202	24	journal	journal	NOUN
cana-3480	202	25	of	of	ADP
cana-3480	202	26	emerging	emerge	VERB
cana-3480	202	27	technologies	technology	NOUN
cana-3480	202	28	and	and	CCONJ
cana-3480	202	29	innovative	innovative	ADJ
cana-3480	202	30	research	research	NOUN
cana-3480	202	31	(	(	PUNCT
cana-3480	202	32	jetir	jetir	NOUN
cana-3480	202	33	)	)	PUNCT
cana-3480	202	34	,	,	PUNCT
cana-3480	202	35	10(4	10(4	NUM
cana-3480	202	36	)	)	PUNCT
cana-3480	202	37	,	,	PUNCT
cana-3480	202	38	pp	pp	PROPN
cana-3480	202	39	.	.	PUNCT
cana-3480	203	1	97	97	NUM
cana-3480	203	2	-	-	SYM
cana-3480	203	3	107	107	NUM
cana-3480	203	4	[	[	X
cana-3480	203	5	8	8	NUM
cana-3480	203	6	]	]	SYM
cana-3480	203	7	ni	ni	PROPN
cana-3480	203	8	,	,	PUNCT
cana-3480	203	9	b.	b.	PROPN
cana-3480	203	10	,	,	PUNCT
cana-3480	203	11	qazi	qazi	PROPN
cana-3480	203	12	,	,	PUNCT
cana-3480	203	13	r.	r.	PROPN
cana-3480	203	14	,	,	PUNCT
cana-3480	203	15	ur	ur	PROPN
cana-3480	203	16	rehman	rehman	PROPN
cana-3480	203	17	,	,	PUNCT
cana-3480	203	18	s.	s.	PROPN
cana-3480	203	19	and	and	CCONJ
cana-3480	203	20	farid	farid	PROPN
cana-3480	203	21	,	,	PUNCT
cana-3480	203	22	g.(2021	g.(2021	PROPN
cana-3480	203	23	)	)	PUNCT
cana-3480	203	24	'	'	PUNCT
cana-3480	203	25	some	some	DET
cana-3480	203	26	graph	graph	NOUN
cana-3480	203	27	-	-	PUNCT
cana-3480	203	28	based	base	VERB
cana-3480	203	29	encryption	encryption	NOUN
cana-3480	203	30	schemes	scheme	NOUN
cana-3480	203	31	'	'	PART
cana-3480	203	32	,	,	PUNCT
cana-3480	203	33	hindawi	hindawi	ADJ
cana-3480	203	34	journal	journal	NOUN
cana-3480	203	35	of	of	ADP
cana-3480	203	36	mathematics	mathematic	NOUN
cana-3480	203	37	,	,	PUNCT
cana-3480	203	38	pp	pp	ADJ
cana-3480	203	39	.	.	PUNCT
cana-3480	204	1	1	1	NUM
cana-3480	204	2	-	-	SYM
cana-3480	204	3	8	8	NUM