id	sid	eid	entity	type
ejpam-6713	1	1	european journal	ORG
ejpam-6713	1	2	2025	DATE
ejpam-6713	1	3	18	CARDINAL
ejpam-6713	1	4	4	CARDINAL
ejpam-6713	1	5	6713	DATE
ejpam-6713	1	6	1307-5543	DATE
ejpam-6713	1	7	new york	GPE
ejpam-6713	1	8	mohankumar1	PRODUCT
ejpam-6713	1	9	luminiţa-ioana cotîrlă2	PERSON
ejpam-6713	1	10	daniel breaz3,∗ 1 department	ORG
ejpam-6713	1	11	saveetha institute of medical	ORG
ejpam-6713	1	12	602105	DATE
ejpam-6713	1	13	tamil	NORP
ejpam-6713	1	14	india	GPE
ejpam-6713	1	15	2	CARDINAL
ejpam-6713	1	16	university of cluj-napoca	ORG
ejpam-6713	1	17	400114	DATE
ejpam-6713	1	18	3	CARDINAL
ejpam-6713	1	19	1 decembrie 1918	DATE
ejpam-6713	1	20	510009	DATE
ejpam-6713	1	21	alba iulia	PERSON
ejpam-6713	1	22	romania	GPE
ejpam-6713	2	1	zero	CARDINAL
ejpam-6713	2	2	at least two	CARDINAL
ejpam-6713	2	3	\s	ORG
ejpam-6713	5	1	2	CARDINAL
ejpam-6713	5	2	3	CARDINAL
ejpam-6713	6	1	2020	DATE
ejpam-6713	6	2	05c69	CARDINAL
ejpam-6713	6	3	05c75	DATE
ejpam-6713	6	4	1	CARDINAL
ejpam-6713	8	1	1	CARDINAL
ejpam-6713	9	1	⊆	CARDINAL
ejpam-6713	9	2	∈	ORG
ejpam-6713	12	1	https://doi.org/10.29020/nybg.ejpam.v18i4.6713	GPE
ejpam-6713	12	2	navamaniprakash69@gmail.com	ORG
ejpam-6713	13	1	luminita.cotirla@math.utcluj.ro	PRODUCT
ejpam-6713	13	2	l. i. cotîrlă	PERSON
ejpam-6713	13	3	dbreaz@uab.ro	GPE
ejpam-6713	13	4	d.	NORP
ejpam-6713	14	1	1	CARDINAL
ejpam-6713	14	2	2025	CARDINAL
ejpam-6713	16	1	j. pure	PERSON
ejpam-6713	16	2	18	CARDINAL
ejpam-6713	16	3	4	CARDINAL
ejpam-6713	16	4	2025	CARDINAL
ejpam-6713	16	5	6713 2	DATE
ejpam-6713	16	6	15	CARDINAL
ejpam-6713	16	7	2],[3	CARDINAL
ejpam-6713	17	1	one	CARDINAL
ejpam-6713	17	2	magda dettlaff et al	PERSON
ejpam-6713	18	1	4	CARDINAL
ejpam-6713	19	1	zero	CARDINAL
ejpam-6713	19	2	at least two	CARDINAL
ejpam-6713	19	3	\d	GPE
ejpam-6713	21	1	5–9	CARDINAL
ejpam-6713	22	1	w	ORG
ejpam-6713	22	2	two	CARDINAL
ejpam-6713	22	3	vw	GPE
ejpam-6713	24	1	s. arumugam	PERSON
ejpam-6713	24	2	j. paulraj joseph	PERSON
ejpam-6713	25	1	10	CARDINAL
ejpam-6713	25	2	≤ 3	CARDINAL
ejpam-6713	25	3	at least three	CARDINAL
ejpam-6713	26	1	11–16	CARDINAL
ejpam-6713	28	1	17	CARDINAL
ejpam-6713	31	1	one	CARDINAL
ejpam-6713	32	1	∈	ORG
ejpam-6713	32	2	∈	ORG
ejpam-6713	32	3	at least one	CARDINAL
ejpam-6713	32	4	∈	ORG
ejpam-6713	33	1	more than one	CARDINAL
ejpam-6713	35	1	2	CARDINAL
ejpam-6713	35	2	3	CARDINAL
ejpam-6713	36	1	2.	CARDINAL
ejpam-6713	38	1	18	CARDINAL
ejpam-6713	39	1	n(v	ORG
ejpam-6713	40	1	∈	ORG
ejpam-6713	40	2	∈	ORG
ejpam-6713	41	1	n(v	ORG
ejpam-6713	42	1	g. navamani et al	PERSON
ejpam-6713	43	1	j. pure	PERSON
ejpam-6713	43	2	18	CARDINAL
ejpam-6713	43	3	4	CARDINAL
ejpam-6713	43	4	2025	CARDINAL
ejpam-6713	43	5	6713 3 of 15	DATE
ejpam-6713	43	6	⊆	CARDINAL
ejpam-6713	43	7	n(s	GPE
ejpam-6713	44	1	⋃	DATE
ejpam-6713	44	2	n(v	ORG
ejpam-6713	47	1	k-partite	ORG
ejpam-6713	47	2	k ≥ 1	ORG
ejpam-6713	49	1	partite	ORG
ejpam-6713	49	2	vi	PERSON
ejpam-6713	49	3	6=	CARDINAL
ejpam-6713	49	4	j.	PERSON
ejpam-6713	49	5	1	CARDINAL
ejpam-6713	50	1	2	CARDINAL
ejpam-6713	50	2	bipartite	ORG
ejpam-6713	51	1	bipartite	NORP
ejpam-6713	51	2	one	CARDINAL
ejpam-6713	52	1	bipartite	ORG
ejpam-6713	52	2	one	CARDINAL
ejpam-6713	53	1	3	CARDINAL
ejpam-6713	53	2	1	CARDINAL
ejpam-6713	54	1	5	CARDINAL
ejpam-6713	54	2	n ≥ 3	DATE
ejpam-6713	55	1	3	CARDINAL
ejpam-6713	55	2	2	CARDINAL
ejpam-6713	57	1	1	CARDINAL
ejpam-6713	57	2	n ≡ 0	ORG
ejpam-6713	58	1	2	CARDINAL
ejpam-6713	58	2	n ≡ 2	ORG
ejpam-6713	58	3	3	CARDINAL
ejpam-6713	58	4	3	CARDINAL
ejpam-6713	58	5	n ≡ 1	ORG
ejpam-6713	63	1	3	CARDINAL
ejpam-6713	65	1	γcer(cn	PERSON
ejpam-6713	65	2	n ≡ 0	ORG
ejpam-6713	66	1	one	CARDINAL
ejpam-6713	69	1	1	CARDINAL
ejpam-6713	69	2	3	CARDINAL
ejpam-6713	69	3	2	CARDINAL
ejpam-6713	70	1	n + 1	ORG
ejpam-6713	70	2	0	CARDINAL
ejpam-6713	74	1	1	CARDINAL
ejpam-6713	74	2	one	CARDINAL
ejpam-6713	78	1	2	CARDINAL
ejpam-6713	78	2	n ≡ 2	ORG
ejpam-6713	80	1	3	CARDINAL
ejpam-6713	81	1	g. navamani et al	PERSON
ejpam-6713	82	1	j. pure	PERSON
ejpam-6713	82	2	18	CARDINAL
ejpam-6713	82	3	4	CARDINAL
ejpam-6713	82	4	2025	CARDINAL
ejpam-6713	82	5	6713 4	DATE
ejpam-6713	82	6	15	CARDINAL
ejpam-6713	82	7	3	CARDINAL
ejpam-6713	83	1	4	CARDINAL
ejpam-6713	83	2	at least three	CARDINAL
ejpam-6713	84	1	γ(g	GPE
ejpam-6713	86	1	at least two	CARDINAL
ejpam-6713	87	1	4	CARDINAL
ejpam-6713	88	1	5	CARDINAL
ejpam-6713	88	2	bipartite	NORP
ejpam-6713	88	3	1 ≤ m ≤ n	QUANTITY
ejpam-6713	88	4	1	CARDINAL
ejpam-6713	88	5	1 2	CARDINAL
ejpam-6713	89	1	5	CARDINAL
ejpam-6713	90	1	bipartite	ORG
ejpam-6713	91	1	3	CARDINAL
ejpam-6713	91	2	2	CARDINAL
ejpam-6713	94	1	3	CARDINAL
ejpam-6713	94	2	2	CARDINAL
ejpam-6713	95	1	2	CARDINAL
ejpam-6713	96	1	2	CARDINAL
ejpam-6713	97	1	subcase	PERSON
ejpam-6713	97	2	2	CARDINAL
ejpam-6713	97	3	k2,2	ORG
ejpam-6713	97	4	2	CARDINAL
ejpam-6713	98	1	3	CARDINAL
ejpam-6713	98	2	sd+γcer(k2,2	PERSON
ejpam-6713	98	3	3	CARDINAL
ejpam-6713	98	4	2	CARDINAL
ejpam-6713	99	1	un ∈ v2	PERSON
ejpam-6713	101	1	γcer(g ′	DATE
ejpam-6713	102	1	1	CARDINAL
ejpam-6713	102	2	g′′	PERSON
ejpam-6713	102	3	g′	PERSON
ejpam-6713	104	1	2	CARDINAL
ejpam-6713	104	2	g′′′	ORG
ejpam-6713	104	3	g′′	PERSON
ejpam-6713	105	1	g′′	PERSON
ejpam-6713	107	1	3	CARDINAL
ejpam-6713	107	2	1	CARDINAL
ejpam-6713	108	1	un ∈ v2	PERSON
ejpam-6713	110	1	1	CARDINAL
ejpam-6713	110	2	some 1	CARDINAL
ejpam-6713	113	1	1	CARDINAL
ejpam-6713	113	2	2	CARDINAL
ejpam-6713	113	3	2	CARDINAL
ejpam-6713	115	1	un ∈ v2	PERSON
ejpam-6713	115	2	4	CARDINAL
ejpam-6713	116	1	2	CARDINAL
ejpam-6713	116	2	∈	ORG
ejpam-6713	116	3	1	CARDINAL
ejpam-6713	117	1	j. pure	PERSON
ejpam-6713	117	2	18	CARDINAL
ejpam-6713	117	3	4	CARDINAL
ejpam-6713	117	4	2025	CARDINAL
ejpam-6713	117	5	6713 5	DATE
ejpam-6713	117	6	15	CARDINAL
ejpam-6713	119	1	1	CARDINAL
ejpam-6713	119	2	g′′	PERSON
ejpam-6713	120	1	v2 /∈	PERSON
ejpam-6713	122	1	∈	ORG
ejpam-6713	125	1	2	CARDINAL
ejpam-6713	126	1	n ≥ 2	ORG
ejpam-6713	126	2	1	CARDINAL
ejpam-6713	126	3	4	CARDINAL
ejpam-6713	127	1	0 ≤	QUANTITY
ejpam-6713	128	1	1	CARDINAL
ejpam-6713	129	1	0 ≤	MONEY
ejpam-6713	130	1	1	CARDINAL
ejpam-6713	131	1	sc ⊆	ORG
ejpam-6713	131	2	1	CARDINAL
ejpam-6713	131	3	2	DATE
ejpam-6713	131	4	3	DATE
ejpam-6713	132	1	⌈	ORG
ejpam-6713	132	2	2	CARDINAL
ejpam-6713	132	3	3	CARDINAL
ejpam-6713	132	4	6	CARDINAL
ejpam-6713	133	1	19	CARDINAL
ejpam-6713	133	2	2	CARDINAL
ejpam-6713	134	1	5	CARDINAL
ejpam-6713	134	2	2	CARDINAL
ejpam-6713	134	3	n ≥ 6, sd+γcer(g	DATE
ejpam-6713	135	1	1	CARDINAL
ejpam-6713	135	2	n ≡ 0	ORG
ejpam-6713	135	3	4	DATE
ejpam-6713	135	4	2	CARDINAL
ejpam-6713	135	5	n ≡ 2,	ORG
ejpam-6713	135	6	3	DATE
ejpam-6713	135	7	5	CARDINAL
ejpam-6713	135	8	3	CARDINAL
ejpam-6713	135	9	n ≡ 1	ORG
ejpam-6713	136	1	2	CARDINAL
ejpam-6713	138	1	v5k−4	DATE
ejpam-6713	138	2	1 ≤ k ≤	QUANTITY
ejpam-6713	138	3	∈	ORG
ejpam-6713	138	4	n(v	ORG
ejpam-6713	138	5	2	CARDINAL
ejpam-6713	139	1	6	CARDINAL
ejpam-6713	139	2	3	CARDINAL
ejpam-6713	139	3	γ(g	NORP
ejpam-6713	141	1	5	CARDINAL
ejpam-6713	142	1	4	DATE
ejpam-6713	142	2	n ≡ 0	ORG
ejpam-6713	142	3	4	CARDINAL
ejpam-6713	142	4	∈	ORG
ejpam-6713	142	5	d.	NORP
ejpam-6713	142	6	n ≡ 4	ORG
ejpam-6713	142	7	4	CARDINAL
ejpam-6713	142	8	∈	ORG
ejpam-6713	142	9	3	CARDINAL
ejpam-6713	142	10	|pn(vn−3	PRODUCT
ejpam-6713	142	11	3	CARDINAL
ejpam-6713	143	1	∈	ORG
ejpam-6713	144	1	n ≡ 0	ORG
ejpam-6713	144	2	4	DATE
ejpam-6713	145	1	g′	PERSON
ejpam-6713	147	1	d′ = d	PERSON
ejpam-6713	148	1	1	CARDINAL
ejpam-6713	148	2	2	CARDINAL
ejpam-6713	148	3	3	DATE
ejpam-6713	148	4	n ≡ 2	ORG
ejpam-6713	148	5	4	CARDINAL
ejpam-6713	148	6	∈	ORG
ejpam-6713	148	7	2	CARDINAL
ejpam-6713	148	8	|pn(vn−1	CARDINAL
ejpam-6713	148	9	2	CARDINAL
ejpam-6713	150	1	n ≡ 3	ORG
ejpam-6713	150	2	4	CARDINAL
ejpam-6713	150	3	∈	ORG
ejpam-6713	150	4	2	CARDINAL
ejpam-6713	150	5	|pn(vn−2	GPE
ejpam-6713	150	6	2	CARDINAL
ejpam-6713	154	1	g′	PERSON
ejpam-6713	157	1	1	CARDINAL
ejpam-6713	158	1	g′′	PERSON
ejpam-6713	160	1	j. pure	PERSON
ejpam-6713	160	2	18	CARDINAL
ejpam-6713	160	3	4	CARDINAL
ejpam-6713	160	4	2025	CARDINAL
ejpam-6713	160	5	6713 6	DATE
ejpam-6713	160	6	15	CARDINAL
ejpam-6713	161	1	n ≡ 2	ORG
ejpam-6713	163	1	d′ = d	PERSON
ejpam-6713	163	2	2	CARDINAL
ejpam-6713	164	1	n ≡ 3	ORG
ejpam-6713	165	1	d′ = d	PERSON
ejpam-6713	165	2	2	CARDINAL
ejpam-6713	165	3	1	CARDINAL
ejpam-6713	166	1	1	CARDINAL
ejpam-6713	166	2	7, sd+γcer	DATE
ejpam-6713	166	3	2	CARDINAL
ejpam-6713	166	4	n ≡ 1	ORG
ejpam-6713	166	5	4	CARDINAL
ejpam-6713	166	6	∈	ORG
ejpam-6713	166	7	2 and |pn(vn	DATE
ejpam-6713	166	8	1	CARDINAL
ejpam-6713	167	1	g′	PERSON
ejpam-6713	170	1	1	CARDINAL
ejpam-6713	170	2	g′′	PERSON
ejpam-6713	170	3	2	CARDINAL
ejpam-6713	172	1	subcase	PERSON
ejpam-6713	174	1	v2 ∈	PERSON
ejpam-6713	174	2	n(vn	ORG
ejpam-6713	175	1	′′	ORG
ejpam-6713	176	1	subcase	PERSON
ejpam-6713	178	1	1 ≤ k ≤ n−6 5	QUANTITY
ejpam-6713	178	2	1 ≤	QUANTITY
ejpam-6713	179	1	j. pure	PERSON
ejpam-6713	179	2	18	CARDINAL
ejpam-6713	179	3	4	CARDINAL
ejpam-6713	179	4	2025	CARDINAL
ejpam-6713	179	5	6713 7 of 15	DATE
ejpam-6713	180	1	′′	ORG
ejpam-6713	181	1	subcase	PERSON
ejpam-6713	182	1	one	CARDINAL
ejpam-6713	182	2	n(vn	ORG
ejpam-6713	183	1	′′	ORG
ejpam-6713	184	1	subcase	PERSON
ejpam-6713	186	1	one	CARDINAL
ejpam-6713	186	2	g′′	PERSON
ejpam-6713	187	1	′′	ORG
ejpam-6713	188	1	subcase	PERSON
ejpam-6713	190	1	1 ≤ k	QUANTITY
ejpam-6713	190	2	5	CARDINAL
ejpam-6713	191	1	′′	ORG
ejpam-6713	192	1	subcase	PERSON
ejpam-6713	193	1	′′	ORG
ejpam-6713	195	1	2	CARDINAL
ejpam-6713	195	2	g′′′	ORG
ejpam-6713	195	3	3	CARDINAL
ejpam-6713	195	4	x3	PERSON
ejpam-6713	196	1	x3 /∈	ORG
ejpam-6713	197	1	∈	ORG
ejpam-6713	197	2	d.	NORP
ejpam-6713	197	3	x3	PERSON
ejpam-6713	197	4	1 ≤ k	QUANTITY
ejpam-6713	197	5	5	CARDINAL
ejpam-6713	197	6	d.	NORP
ejpam-6713	200	1	3	CARDINAL
ejpam-6713	200	2	8	CARDINAL
ejpam-6713	201	1	19	CARDINAL
ejpam-6713	201	2	6	CARDINAL
ejpam-6713	201	3	3	CARDINAL
ejpam-6713	202	1	⌈	ORG
ejpam-6713	202	2	6∈ 4	DATE
ejpam-6713	202	3	n ≡ 4	ORG
ejpam-6713	202	4	9	CARDINAL
ejpam-6713	202	5	3	CARDINAL
ejpam-6713	202	6	n ≥ 6, sd+γcer(g	DATE
ejpam-6713	202	7	1	CARDINAL
ejpam-6713	202	8	n ≡ 0	ORG
ejpam-6713	202	9	5	CARDINAL
ejpam-6713	202	10	2	CARDINAL
ejpam-6713	203	1	3	CARDINAL
ejpam-6713	205	1	v5k−4	DATE
ejpam-6713	205	2	1 ≤ k ≤	QUANTITY
ejpam-6713	205	3	∈	ORG
ejpam-6713	205	4	n(v	ORG
ejpam-6713	205	5	2	CARDINAL
ejpam-6713	206	1	3	CARDINAL
ejpam-6713	206	2	γ(g	NORP
ejpam-6713	208	1	5	CARDINAL
ejpam-6713	210	1	4	CARDINAL
ejpam-6713	210	2	∈	ORG
ejpam-6713	210	3	d.	NORP
ejpam-6713	210	4	v2 /∈	ORG
ejpam-6713	211	1	∈	ORG
ejpam-6713	211	2	d.	NORP
ejpam-6713	212	1	1	CARDINAL
ejpam-6713	212	2	2	CARDINAL
ejpam-6713	213	1	j. pure	PERSON
ejpam-6713	213	2	18	CARDINAL
ejpam-6713	213	3	4	CARDINAL
ejpam-6713	213	4	2025	CARDINAL
ejpam-6713	213	5	6713 8	DATE
ejpam-6713	213	6	15	CARDINAL
ejpam-6713	213	7	2	CARDINAL
ejpam-6713	213	8	9, sd+γcer	DATE
ejpam-6713	214	1	1	CARDINAL
ejpam-6713	214	2	4	CARDINAL
ejpam-6713	214	3	∈	ORG
ejpam-6713	214	4	3	CARDINAL
ejpam-6713	214	5	|pn(vn−2	GPE
ejpam-6713	215	1	g′	PERSON
ejpam-6713	215	2	v2 /∈	ORG
ejpam-6713	216	1	∈	ORG
ejpam-6713	216	2	d.	NORP
ejpam-6713	217	1	1	CARDINAL
ejpam-6713	217	2	4	CARDINAL
ejpam-6713	217	3	∈	ORG
ejpam-6713	217	4	2 and |pn(vn	DATE
ejpam-6713	217	5	2	CARDINAL
ejpam-6713	218	1	g′	PERSON
ejpam-6713	219	1	vn−2 ∈ n	ORG
ejpam-6713	220	1	γcer(g ′	DATE
ejpam-6713	222	1	1	CARDINAL
ejpam-6713	222	2	g′′	PERSON
ejpam-6713	223	1	v2 /∈ ng′′(d	PERSON
ejpam-6713	225	1	′′	ORG
ejpam-6713	225	2	γcer(g ′	DATE
ejpam-6713	226	1	2	CARDINAL
ejpam-6713	226	2	4	CARDINAL
ejpam-6713	226	3	∈	ORG
ejpam-6713	226	4	1	CARDINAL
ejpam-6713	226	5	|pn(vn−1	CARDINAL
ejpam-6713	226	6	1	CARDINAL
ejpam-6713	227	1	g′	PERSON
ejpam-6713	229	1	γcer(g ′	DATE
ejpam-6713	231	1	1	CARDINAL
ejpam-6713	231	2	g′′	PERSON
ejpam-6713	234	1	j. pure	PERSON
ejpam-6713	234	2	18	CARDINAL
ejpam-6713	234	3	4	CARDINAL
ejpam-6713	234	4	2025	CARDINAL
ejpam-6713	234	5	6713 9	DATE
ejpam-6713	234	6	15	CARDINAL
ejpam-6713	235	1	′′	ORG
ejpam-6713	235	2	γcer(g ′	DATE
ejpam-6713	237	1	2	CARDINAL
ejpam-6713	238	1	4	CARDINAL
ejpam-6713	238	2	∈	ORG
ejpam-6713	238	3	2	CARDINAL
ejpam-6713	238	4	|pn(vn−1	CARDINAL
ejpam-6713	238	5	0	CARDINAL
ejpam-6713	238	6	|pn(vn−3	PRODUCT
ejpam-6713	238	7	2	CARDINAL
ejpam-6713	239	1	∈	ORG
ejpam-6713	239	2	d.	NORP
ejpam-6713	239	3	∈	ORG
ejpam-6713	240	1	vn−2 ∈	ORG
ejpam-6713	241	1	γcer(g ′	DATE
ejpam-6713	243	1	1	CARDINAL
ejpam-6713	243	2	g′′	PERSON
ejpam-6713	244	1	v4 /∈	ORG
ejpam-6713	245	1	∈	ORG
ejpam-6713	245	2	d.	NORP
ejpam-6713	246	1	′′	ORG
ejpam-6713	246	2	γcer(g ′	DATE
ejpam-6713	248	1	2	CARDINAL
ejpam-6713	248	2	5	CARDINAL
ejpam-6713	248	3	generalized petersen	PERSON
ejpam-6713	248	4	2n	CARDINAL
ejpam-6713	249	1	{vi	PERSON
ejpam-6713	249	2	0 ≤	MONEY
ejpam-6713	249	3	1	CARDINAL
ejpam-6713	250	1	{vi	PERSON
ejpam-6713	250	2	vi	PERSON
ejpam-6713	250	3	0 ≤	MONEY
ejpam-6713	251	1	1	CARDINAL
ejpam-6713	251	2	modulo n.	ORG
ejpam-6713	251	3	0 ≤	MONEY
ejpam-6713	254	1	10	CARDINAL
ejpam-6713	255	1	20	CARDINAL
ejpam-6713	255	2	n ≥ 3, γ(p	DATE
ejpam-6713	256	1	⌈	ORG
ejpam-6713	256	2	n ≡ 0,	ORG
ejpam-6713	256	3	1	DATE
ejpam-6713	256	4	3	CARDINAL
ejpam-6713	257	1	n ≡ 2	ORG
ejpam-6713	257	2	4	CARDINAL
ejpam-6713	257	3	11	CARDINAL
ejpam-6713	258	1	n ≥ 4, sd+γcer(g	DATE
ejpam-6713	259	1	1	CARDINAL
ejpam-6713	259	2	n ≡ 0	ORG
ejpam-6713	259	3	1	CARDINAL
ejpam-6713	259	4	4	CARDINAL
ejpam-6713	259	5	2	CARDINAL
ejpam-6713	259	6	n ≡ 3	ORG
ejpam-6713	259	7	4	CARDINAL
ejpam-6713	259	8	3	CARDINAL
ejpam-6713	259	9	n ≡ 2	ORG
ejpam-6713	261	1	′′	ORG
ejpam-6713	263	1	′′	ORG
ejpam-6713	264	1	un	ORG
ejpam-6713	264	2	3	CARDINAL
ejpam-6713	264	3	10	CARDINAL
ejpam-6713	264	4	γ(p	PRODUCT
ejpam-6713	266	1	d′	PERSON
ejpam-6713	266	2	d′	PERSON
ejpam-6713	267	1	′′	ORG
ejpam-6713	268	1	d′	PERSON
ejpam-6713	268	2	0 ≤ k ≤	QUANTITY
ejpam-6713	268	3	u4k+3	GPE
ejpam-6713	270	1	un	ORG
ejpam-6713	270	2	n ≡ 2	ORG
ejpam-6713	270	3	u4k+3	GPE
ejpam-6713	270	4	0 ≤ k	QUANTITY
ejpam-6713	270	5	g. navamani et al	PERSON
ejpam-6713	271	1	j. pure	PERSON
ejpam-6713	271	2	18	CARDINAL
ejpam-6713	271	3	4	CARDINAL
ejpam-6713	271	4	2025	CARDINAL
ejpam-6713	271	5	6713 10	DATE
ejpam-6713	271	6	15	CARDINAL
ejpam-6713	272	1	4	CARDINAL
ejpam-6713	273	1	g′	PERSON
ejpam-6713	273	2	∈	ORG
ejpam-6713	273	3	d.	NORP
ejpam-6713	274	1	γcer(g ′	DATE
ejpam-6713	277	1	1	CARDINAL
ejpam-6713	278	1	d′	PERSON
ejpam-6713	278	2	d′	PERSON
ejpam-6713	278	3	1 ≤	QUANTITY
ejpam-6713	279	1	4	CARDINAL
ejpam-6713	279	2	1 ≤	QUANTITY
ejpam-6713	280	1	4	CARDINAL
ejpam-6713	280	2	u3k−2	ORG
ejpam-6713	280	3	1 ≤	QUANTITY
ejpam-6713	280	4	4	CARDINAL
ejpam-6713	280	5	u4k−2	ORG
ejpam-6713	280	6	1 ≤	QUANTITY
ejpam-6713	281	1	γcer(g ′	DATE
ejpam-6713	284	1	1	CARDINAL
ejpam-6713	284	2	3	CARDINAL
ejpam-6713	284	3	11	CARDINAL
ejpam-6713	284	4	2	CARDINAL
ejpam-6713	286	1	n(un	PERSON
ejpam-6713	287	1	γcer(g ′	DATE
ejpam-6713	289	1	1	CARDINAL
ejpam-6713	289	2	g′′	PERSON
ejpam-6713	289	3	g. navamani et al	PERSON
ejpam-6713	290	1	j. pure	PERSON
ejpam-6713	290	2	18	CARDINAL
ejpam-6713	290	3	4	CARDINAL
ejpam-6713	290	4	2025	CARDINAL
ejpam-6713	290	5	6713 11	DATE
ejpam-6713	290	6	15	CARDINAL
ejpam-6713	290	7	two	CARDINAL
ejpam-6713	291	1	y /∈	PERSON
ejpam-6713	294	1	d′	PERSON
ejpam-6713	295	1	2	CARDINAL
ejpam-6713	295	2	3	CARDINAL
ejpam-6713	297	1	n(un	PERSON
ejpam-6713	298	1	γcer(g ′	DATE
ejpam-6713	300	1	1	CARDINAL
ejpam-6713	300	2	g′′	PERSON
ejpam-6713	300	3	two	CARDINAL
ejpam-6713	302	1	subcase	PERSON
ejpam-6713	302	2	y ∈ n(un	PERSON
ejpam-6713	302	3	un−1 ∈ n(vn−1	ORG
ejpam-6713	302	4	′′	ORG
ejpam-6713	303	1	subcase	PERSON
ejpam-6713	303	2	n(un	PERSON
ejpam-6713	303	3	vn−1 ∈ n(un−1	ORG
ejpam-6713	303	4	′′	ORG
ejpam-6713	304	1	subcase	PERSON
ejpam-6713	304	2	y ∈ n(un	PERSON
ejpam-6713	304	3	∈ n(un	ORG
ejpam-6713	304	4	∈	ORG
ejpam-6713	305	1	′′	ORG
ejpam-6713	306	1	subcase	PERSON
ejpam-6713	306	2	∈	ORG
ejpam-6713	307	1	′′	ORG
ejpam-6713	308	1	subcase	PERSON
ejpam-6713	308	2	one	CARDINAL
ejpam-6713	308	3	n(un	PERSON
ejpam-6713	308	4	∈ n(un	DATE
ejpam-6713	309	1	′′	ORG
ejpam-6713	310	1	subcase	PERSON
ejpam-6713	310	2	n(un	PERSON
ejpam-6713	310	3	∈ n(un	DATE
ejpam-6713	310	4	∈	ORG
ejpam-6713	311	1	′′	ORG
ejpam-6713	313	1	2	CARDINAL
ejpam-6713	313	2	g′′′	ORG
ejpam-6713	313	3	y ∈ n(un	PERSON
ejpam-6713	313	4	z /∈	ORG
ejpam-6713	315	1	d′ = d	PERSON
ejpam-6713	316	1	3	CARDINAL
ejpam-6713	316	2	12	CARDINAL
ejpam-6713	317	1	20	CARDINAL
ejpam-6713	317	2	n ≥ 5	DATE
ejpam-6713	317	3	γ(p	PRODUCT
ejpam-6713	319	1	3n 5	DATE
ejpam-6713	319	2	⌉ g. navamani et al	PERSON
ejpam-6713	320	1	j. pure	PERSON
ejpam-6713	320	2	18	CARDINAL
ejpam-6713	320	3	4	CARDINAL
ejpam-6713	320	4	2025	CARDINAL
ejpam-6713	320	5	6713 12	DATE
ejpam-6713	320	6	15	CARDINAL
ejpam-6713	320	7	13	CARDINAL
ejpam-6713	321	1	n ≥ 5, sd+γcer(g	DATE
ejpam-6713	321	2	1	CARDINAL
ejpam-6713	321	3	n ≡ 0	ORG
ejpam-6713	321	4	3	CARDINAL
ejpam-6713	321	5	5	CARDINAL
ejpam-6713	321	6	2	CARDINAL
ejpam-6713	322	1	′′	ORG
ejpam-6713	324	1	′′	ORG
ejpam-6713	325	1	un	ORG
ejpam-6713	325	2	3	CARDINAL
ejpam-6713	325	3	12	CARDINAL
ejpam-6713	325	4	γ(p	PRODUCT
ejpam-6713	327	1	d′	PERSON
ejpam-6713	327	2	d′ =	PERSON
ejpam-6713	328	1	′′	ORG
ejpam-6713	330	1	d′	PERSON
ejpam-6713	330	2	v5k−4	DATE
ejpam-6713	330	3	1 ≤ k ≤ n 5	QUANTITY
ejpam-6713	330	4	1 ≤ k ≤ n 5	QUANTITY
ejpam-6713	330	5	1 ≤ k ≤ n 5	QUANTITY
ejpam-6713	330	6	g′	PERSON
ejpam-6713	330	7	x /∈ n(v	ORG
ejpam-6713	330	8	∈	ORG
ejpam-6713	331	1	γcer(g ′	DATE
ejpam-6713	334	1	1	CARDINAL
ejpam-6713	334	2	d′	PERSON
ejpam-6713	334	3	v5k−4	DATE
ejpam-6713	334	4	1 ≤ k ≤	QUANTITY
ejpam-6713	334	5	1 ≤ k ≤	QUANTITY
ejpam-6713	334	6	1 ≤ k ≤	QUANTITY
ejpam-6713	334	7	g′	PERSON
ejpam-6713	334	8	n(v6	PERSON
ejpam-6713	335	1	first	ORDINAL
ejpam-6713	335	2	two	CARDINAL
ejpam-6713	337	1	γcer(g ′	DATE
ejpam-6713	339	1	1	CARDINAL
ejpam-6713	339	2	g′′	PERSON
ejpam-6713	339	3	two	CARDINAL
ejpam-6713	343	1	d′ = d	PERSON
ejpam-6713	343	2	′′	ORG
ejpam-6713	344	1	2	CARDINAL
ejpam-6713	344	2	d′	PERSON
ejpam-6713	344	3	v5k−4	DATE
ejpam-6713	344	4	1 ≤ k ≤	QUANTITY
ejpam-6713	344	5	1 ≤ k ≤ ⌈ n 5	QUANTITY
ejpam-6713	344	6	1 ≤ k ≤	QUANTITY
ejpam-6713	344	7	g′	PERSON
ejpam-6713	347	1	γcer(g ′	DATE
ejpam-6713	349	1	1	CARDINAL
ejpam-6713	349	2	g′′	PERSON
ejpam-6713	349	3	two	CARDINAL
ejpam-6713	351	1	un	ORG
ejpam-6713	353	1	un	ORG
ejpam-6713	354	1	′′	ORG
ejpam-6713	356	1	2	CARDINAL
ejpam-6713	356	2	d′	PERSON
ejpam-6713	356	3	v5k−4	DATE
ejpam-6713	356	4	1 ≤ k ≤	QUANTITY
ejpam-6713	356	5	1 ≤ k ≤ ⌈ n 5	QUANTITY
ejpam-6713	356	6	1 ≤ k ≤ ⌈ n 5	QUANTITY
ejpam-6713	356	7	g′	PERSON
ejpam-6713	359	1	γcer(g ′	DATE
ejpam-6713	361	1	1	CARDINAL
ejpam-6713	361	2	g′′	PERSON
ejpam-6713	362	1	j. pure	PERSON
ejpam-6713	362	2	18	CARDINAL
ejpam-6713	362	3	4	CARDINAL
ejpam-6713	362	4	2025	CARDINAL
ejpam-6713	362	5	6713 13	DATE
ejpam-6713	362	6	15	CARDINAL
ejpam-6713	362	7	two	CARDINAL
ejpam-6713	366	1	′′	ORG
ejpam-6713	367	1	2	CARDINAL
ejpam-6713	368	1	3n 5	DATE
ejpam-6713	368	2	d′	PERSON
ejpam-6713	368	3	v5k−4	EVENT
ejpam-6713	368	4	1 ≤ k ≤	QUANTITY
ejpam-6713	368	5	4	CARDINAL
ejpam-6713	368	6	13	CARDINAL
ejpam-6713	368	7	1	CARDINAL
ejpam-6713	368	8	1 ≤	QUANTITY
ejpam-6713	368	9	1 ≤	QUANTITY
ejpam-6713	369	1	g′	PERSON
ejpam-6713	370	1	u3 /∈ n	PRODUCT
ejpam-6713	373	1	γcer(g ′	DATE
ejpam-6713	376	1	1	CARDINAL
ejpam-6713	376	2	european journal	ORG
ejpam-6713	377	1	g. navamani et al	PERSON
ejpam-6713	378	1	j. pure	PERSON
ejpam-6713	378	2	18	CARDINAL
ejpam-6713	378	3	4	CARDINAL
ejpam-6713	378	4	2025	CARDINAL
ejpam-6713	378	5	6713 14	DATE
ejpam-6713	380	1	2	CARDINAL
ejpam-6713	380	2	3	CARDINAL
ejpam-6713	382	1	bipartite	ORG
ejpam-6713	384	1	1	CARDINAL
ejpam-6713	384	2	w haynes	PERSON
ejpam-6713	384	3	stephen hedetniemi	PERSON
ejpam-6713	384	4	peter slater	PERSON
ejpam-6713	386	1	crc press	ORG
ejpam-6713	386	2	2013	DATE
ejpam-6713	387	1	2	CARDINAL
ejpam-6713	387	2	enrico enriquez	PERSON
ejpam-6713	387	3	grace estrada	PERSON
ejpam-6713	387	4	carmelita	PERSON
ejpam-6713	387	5	reuella j bacalso	PERSON
ejpam-6713	387	6	lanndon ocampo	PERSON
ejpam-6713	389	1	9(17):2143	CARDINAL
ejpam-6713	389	2	2021	CARDINAL
ejpam-6713	390	1	3	CARDINAL
ejpam-6713	390	2	t miranda	GPE
ejpam-6713	390	3	rolito g eballe	PERSON
ejpam-6713	392	1	15(12):615–623	DATE
ejpam-6713	392	2	2021	DATE
ejpam-6713	393	1	4	CARDINAL
ejpam-6713	393	2	magdalena lemańska	PERSON
ejpam-6713	393	3	mateusz miotk	PERSON
ejpam-6713	393	4	paweł żyliński	PERSON
ejpam-6713	395	1	arxiv preprint arxiv:1710.02059	ORG
ejpam-6713	395	2	2017	DATE
ejpam-6713	396	1	5	CARDINAL
ejpam-6713	396	2	magdalena lemańska	PERSON
ejpam-6713	396	3	paweł żyliński	PERSON
ejpam-6713	398	1	akce international journal	ORG
ejpam-6713	398	2	2020	DATE
ejpam-6713	399	1	6	CARDINAL
ejpam-6713	399	2	azham ilyass	PERSON
ejpam-6713	399	3	kaur bhagwat	PERSON
ejpam-6713	401	1	aip	ORG
ejpam-6713	401	2	2735	CARDINAL
ejpam-6713	401	3	040029	DATE
ejpam-6713	402	1	aip publishing llc	ORG
ejpam-6713	402	2	2023	CARDINAL
ejpam-6713	403	1	7	CARDINAL
ejpam-6713	403	2	mateusz miotk	PERSON
ejpam-6713	405	1	16	CARDINAL
ejpam-6713	405	2	2025	DATE
ejpam-6713	406	1	8	CARDINAL
ejpam-6713	406	2	durai raj	PERSON
ejpam-6713	406	3	sg shiji kumari	PERSON
ejpam-6713	408	1	turkish	NORP
ejpam-6713	408	2	turcomat	FAC
ejpam-6713	408	3	11(3):1166–1170	CARDINAL
ejpam-6713	408	4	2020	DATE
ejpam-6713	409	1	9	CARDINAL
ejpam-6713	409	2	b mahavir	PERSON
ejpam-6713	410	1	g. navamani et al	PERSON
ejpam-6713	411	1	j. pure	PERSON
ejpam-6713	411	2	18	CARDINAL
ejpam-6713	411	3	4	CARDINAL
ejpam-6713	411	4	2025	CARDINAL
ejpam-6713	411	5	6713 15	DATE
ejpam-6713	411	6	15	CARDINAL
ejpam-6713	412	1	16(06):2350068	CARDINAL
ejpam-6713	412	2	2024	DATE
ejpam-6713	413	1	10	CARDINAL
ejpam-6713	413	2	j paulraj joseph.	PERSON
ejpam-6713	415	1	j. indian	PERSON
ejpam-6713	416	1	62(1-4):274–282	CARDINAL
ejpam-6713	417	1	11	CARDINAL
ejpam-6713	417	2	seyed mahmoud	PERSON
ejpam-6713	417	3	odile favaron	PERSON
ejpam-6713	419	1	309(4):622–628	CARDINAL
ejpam-6713	419	2	2009	DATE
ejpam-6713	420	1	12	CARDINAL
ejpam-6713	420	2	ammar babikir	PERSON
ejpam-6713	420	3	magda dettlaff	PERSON
ejpam-6713	420	4	michael a henning	PERSON
ejpam-6713	420	5	magdalena	NORP
ejpam-6713	422	1	37(3):691–709	CARDINAL
ejpam-6713	422	2	2021	CARDINAL
ejpam-6713	423	1	13	CARDINAL
ejpam-6713	424	1	22(2):335–347, 2002	DATE
ejpam-6713	425	1	14	CARDINAL
ejpam-6713	425	2	odile favaron	PERSON
ejpam-6713	425	3	w haynes	PERSON
ejpam-6713	425	4	stephen t hedetniemi	PERSON
ejpam-6713	427	1	utilitas mathematica	PERSON
ejpam-6713	427	2	66:195–209, 2004	DATE
ejpam-6713	428	1	15	CARDINAL
ejpam-6713	428	2	odile favaron	PERSON
ejpam-6713	428	3	hossein karami	PERSON
ejpam-6713	428	4	seyed mahmoud	PERSON
ejpam-6713	430	1	25(1):41–47, 2009	DATE
ejpam-6713	431	1	16	CARDINAL
ejpam-6713	431	2	haynes	ORG
ejpam-6713	431	3	sandra hedetniemi	PERSON
ejpam-6713	431	4	stephen hedetniemi	PERSON
ejpam-6713	431	5	david jacobs	PERSON
ejpam-6713	431	6	james knisely	PERSON
ejpam-6713	431	7	lucas van der merwe	PERSON
ejpam-6713	432	1	21(2):239–253, 2001	DATE
ejpam-6713	433	1	17	CARDINAL
ejpam-6713	435	1	20(11):6161	CARDINAL
ejpam-6713	435	2	2022	CARDINAL
ejpam-6713	436	1	18	CARDINAL
ejpam-6713	438	1	addison wesley	PERSON
ejpam-6713	439	1	massachusetts	GPE
ejpam-6713	439	2	1969	DATE
ejpam-6713	440	1	19	CARDINAL
ejpam-6713	440	2	nader jafari rad	PERSON
ejpam-6713	441	1	seria matematica	ORG
ejpam-6713	441	2	17	DATE
ejpam-6713	441	3	01 2009	DATE
ejpam-6713	442	1	20	CARDINAL
ejpam-6713	442	2	b javad ebrahimi	PERSON
ejpam-6713	442	3	nafiseh jahanbakht	PERSON
ejpam-6713	443	1	vertex domination	ORG
ejpam-6713	443	2	generalized petersen	ORG
ejpam-6713	444	1	309(13):4355–4361	CARDINAL
ejpam-6713	444	2	2009	DATE