id	sid	eid	entity	type
ejpam-5038	1	1	european journal	ORG
ejpam-5038	2	1	17	CARDINAL
ejpam-5038	2	2	2	CARDINAL
ejpam-5038	2	3	2024	DATE
ejpam-5038	2	4	1307-5543	CARDINAL
ejpam-5038	2	5	new york	GPE
ejpam-5038	2	6	shalini1	PERSON
ejpam-5038	2	7	indra rajasingh1,∗	PERSON
ejpam-5038	2	8	1	CARDINAL
ejpam-5038	2	9	vellore institute of technology	ORG
ejpam-5038	2	10	tamilnadu	GPE
ejpam-5038	2	11	india	GPE
ejpam-5038	3	1	at least one	CARDINAL
ejpam-5038	3	2	γ(g	NORP
ejpam-5038	8	1	2020	DATE
ejpam-5038	8	2	05c69	CARDINAL
ejpam-5038	8	3	1	CARDINAL
ejpam-5038	9	1	24	CARDINAL
ejpam-5038	12	1	22	CARDINAL
ejpam-5038	13	1	⊆	CARDINAL
ejpam-5038	14	1	at least one	CARDINAL
ejpam-5038	14	2	γ(g	NORP
ejpam-5038	15	1	v. shalini	PERSON
ejpam-5038	15	2	i. rajasingh	PERSON
ejpam-5038	15	3	1082	DATE
ejpam-5038	16	1	2024	CARDINAL
ejpam-5038	17	1	v. shalini	PERSON
ejpam-5038	17	2	i. rajasingh	PERSON
ejpam-5038	18	1	j. pure	PERSON
ejpam-5038	18	2	17	CARDINAL
ejpam-5038	18	3	2	CARDINAL
ejpam-5038	18	4	2024	CARDINAL
ejpam-5038	18	5	1082-1093 1083	QUANTITY
ejpam-5038	19	1	13	CARDINAL
ejpam-5038	21	1	networks[4	ORG
ejpam-5038	21	2	15	DATE
ejpam-5038	21	3	25	CARDINAL
ejpam-5038	22	1	np	ORG
ejpam-5038	22	2	10	CARDINAL
ejpam-5038	25	1	14	CARDINAL
ejpam-5038	26	1	kulli	ORG
ejpam-5038	26	2	14	CARDINAL
ejpam-5038	26	3	1991	DATE
ejpam-5038	27	1	d. domke	GPE
ejpam-5038	27	2	dunbar	GPE
ejpam-5038	27	3	markus	PERSON
ejpam-5038	28	1	72	DATE
ejpam-5038	28	2	2004	DATE
ejpam-5038	28	3	149–160)[6	CARDINAL
ejpam-5038	28	4	bipartite	ORG
ejpam-5038	29	1	2	CARDINAL
ejpam-5038	30	1	3	CARDINAL
ejpam-5038	34	1	2	CARDINAL
ejpam-5038	34	2	1	CARDINAL
ejpam-5038	34	3	7	DATE
ejpam-5038	34	4	9	DATE
ejpam-5038	34	5	12	DATE
ejpam-5038	34	6	23	CARDINAL
ejpam-5038	36	1	5	CARDINAL
ejpam-5038	38	1	two	CARDINAL
ejpam-5038	39	1	two	CARDINAL
ejpam-5038	40	1	two	CARDINAL
ejpam-5038	42	1	5	CARDINAL
ejpam-5038	43	1	x(k	ORG
ejpam-5038	43	2	0	CARDINAL
ejpam-5038	44	1	x(k	ORG
ejpam-5038	45	1	2k	CARDINAL
ejpam-5038	45	2	x(k	PERSON
ejpam-5038	46	1	2k+1	CARDINAL
ejpam-5038	46	2	1	CARDINAL
ejpam-5038	46	3	2k+2	CARDINAL
ejpam-5038	47	1	4	CARDINAL
ejpam-5038	47	2	i. rajasingh	PERSON
ejpam-5038	48	1	j. pure	PERSON
ejpam-5038	48	2	17	CARDINAL
ejpam-5038	48	3	2	CARDINAL
ejpam-5038	48	4	2024	CARDINAL
ejpam-5038	48	5	1082-1093 1084	QUANTITY
ejpam-5038	48	6	1	CARDINAL
ejpam-5038	48	7	x(3	PERSON
ejpam-5038	49	1	2	CARDINAL
ejpam-5038	50	1	16	CARDINAL
ejpam-5038	52	1	x(k	ORG
ejpam-5038	53	1	k ≥ 1	ORG
ejpam-5038	54	1	x(3	PERSON
ejpam-5038	54	2	1(a	CARDINAL
ejpam-5038	55	1	1	CARDINAL
ejpam-5038	56	1	x(3	PERSON
ejpam-5038	56	2	γ(x(3	GPE
ejpam-5038	57	1	4	CARDINAL
ejpam-5038	58	1	x(3	PERSON
ejpam-5038	59	1	three	CARDINAL
ejpam-5038	59	2	2	CARDINAL
ejpam-5038	59	3	l3	ORG
ejpam-5038	59	4	r3	ORG
ejpam-5038	60	1	1(a	CARDINAL
ejpam-5038	61	1	u,	GPE
ejpam-5038	61	2	r2	GPE
ejpam-5038	61	3	8)	CARDINAL
ejpam-5038	61	4	3	CARDINAL
ejpam-5038	61	5	3	CARDINAL
ejpam-5038	61	6	8)	CARDINAL
ejpam-5038	62	1	7	CARDINAL
ejpam-5038	62	2	5	CARDINAL
ejpam-5038	62	3	at least one	CARDINAL
ejpam-5038	62	4	d.	NORP
ejpam-5038	62	5	|d|≥ 4.	ORG
ejpam-5038	63	1	r2	ORG
ejpam-5038	63	2	3	CARDINAL
ejpam-5038	63	3	6	CARDINAL
ejpam-5038	63	4	x(3	PERSON
ejpam-5038	64	1	γ(x(3	GPE
ejpam-5038	65	1	4	CARDINAL
ejpam-5038	65	2	1	CARDINAL
ejpam-5038	66	1	5	CARDINAL
ejpam-5038	66	2	8	CARDINAL
ejpam-5038	66	3	x(3	PERSON
ejpam-5038	67	1	2	CARDINAL
ejpam-5038	67	2	x(3	PERSON
ejpam-5038	67	3	x(3	PERSON
ejpam-5038	67	4	5	CARDINAL
ejpam-5038	69	1	x(3	PERSON
ejpam-5038	70	1	2	CARDINAL
ejpam-5038	70	2	3	CARDINAL
ejpam-5038	70	3	x(3	PERSON
ejpam-5038	71	1	1(b	CARDINAL
ejpam-5038	72	1	2	CARDINAL
ejpam-5038	72	2	r3	ORG
ejpam-5038	72	3	2	CARDINAL
ejpam-5038	72	4	r2}	PERSON
ejpam-5038	72	5	8	CARDINAL
ejpam-5038	72	6	3	CARDINAL
ejpam-5038	72	7	3	CARDINAL
ejpam-5038	73	1	3	CARDINAL
ejpam-5038	74	1	two	CARDINAL
ejpam-5038	74	2	two	CARDINAL
ejpam-5038	74	3	d.	NORP
ejpam-5038	75	1	1,2,4,5,6	CARDINAL
ejpam-5038	75	2	7	CARDINAL
ejpam-5038	76	1	2	CARDINAL
ejpam-5038	76	2	d.	NORP
ejpam-5038	76	3	|d|= 5	DATE
ejpam-5038	77	1	v. shalini	PERSON
ejpam-5038	77	2	i. rajasingh	PERSON
ejpam-5038	78	1	j. pure	PERSON
ejpam-5038	78	2	17	CARDINAL
ejpam-5038	78	3	2	CARDINAL
ejpam-5038	78	4	2024	CARDINAL
ejpam-5038	78	5	1082	CARDINAL
ejpam-5038	78	6	1085	CARDINAL
ejpam-5038	78	7	2	CARDINAL
ejpam-5038	79	1	b)subgraph	NORP
ejpam-5038	80	1	3	CARDINAL
ejpam-5038	80	2	x(3	PERSON
ejpam-5038	81	1	5	CARDINAL
ejpam-5038	83	1	x(3	PERSON
ejpam-5038	85	1	l3	ORG
ejpam-5038	85	2	1	CARDINAL
ejpam-5038	85	3	3	CARDINAL
ejpam-5038	86	1	subgraphh1	ORG
ejpam-5038	86	2	3	CARDINAL
ejpam-5038	87	1	2(a	CARDINAL
ejpam-5038	90	1	l3	ORG
ejpam-5038	90	2	1	CARDINAL
ejpam-5038	90	3	3	CARDINAL
ejpam-5038	91	1	3	CARDINAL
ejpam-5038	92	1	2(b	CARDINAL
ejpam-5038	93	1	|d|= 5	DATE
ejpam-5038	94	1	x(k	ORG
ejpam-5038	94	2	k ≥	ORG
ejpam-5038	97	1	3	CARDINAL
ejpam-5038	97	2	k ≥ 3.	ORG
ejpam-5038	98	1	i=1 vi	PERSON
ejpam-5038	99	1	vi	PERSON
ejpam-5038	99	2	x(3	PERSON
ejpam-5038	99	3	1 ≤	QUANTITY
ejpam-5038	100	1	x(3	PERSON
ejpam-5038	100	2	3	CARDINAL
ejpam-5038	101	1	1 ≤	QUANTITY
ejpam-5038	102	1	3	CARDINAL
ejpam-5038	102	2	2,3,4,5	CARDINAL
ejpam-5038	102	3	x(5	PERSON
ejpam-5038	102	4	li1, li2	ORG
ejpam-5038	102	5	ri1	PRODUCT
ejpam-5038	102	6	1 ≤	QUANTITY
ejpam-5038	103	1	3	CARDINAL
ejpam-5038	104	1	2	CARDINAL
ejpam-5038	104	2	k− 1	FAC
ejpam-5038	104	3	6	CARDINAL
ejpam-5038	104	4	v. shalini	PERSON
ejpam-5038	104	5	i. rajasingh	PERSON
ejpam-5038	105	1	j. pure	PERSON
ejpam-5038	105	2	17	CARDINAL
ejpam-5038	105	3	2	CARDINAL
ejpam-5038	105	4	2024	CARDINAL
ejpam-5038	105	5	1082-1093 1086	DATE
ejpam-5038	105	6	4	CARDINAL
ejpam-5038	105	7	1	CARDINAL
ejpam-5038	106	1	2	CARDINAL
ejpam-5038	106	2	1 ≤	QUANTITY
ejpam-5038	107	1	4	CARDINAL
ejpam-5038	108	1	x(k	ORG
ejpam-5038	109	1	3	CARDINAL
ejpam-5038	109	2	k ≥ 3	ORG
ejpam-5038	109	3	γ(h	ORG
ejpam-5038	109	4	2k−1	CARDINAL
ejpam-5038	112	1	1	CARDINAL
ejpam-5038	114	1	3	CARDINAL
ejpam-5038	114	2	4(a	CARDINAL
ejpam-5038	115	1	⊆	CARDINAL
ejpam-5038	115	2	d.	NORP
ejpam-5038	115	3	3	CARDINAL
ejpam-5038	115	4	4(b	CARDINAL
ejpam-5038	116	1	at least 9	CARDINAL
ejpam-5038	116	2	d.	NORP
ejpam-5038	116	3	2	CARDINAL
ejpam-5038	118	1	2	CARDINAL
ejpam-5038	119	1	⊆	CARDINAL
ejpam-5038	119	2	three	CARDINAL
ejpam-5038	120	1	at least 6	CARDINAL
ejpam-5038	120	2	14	CARDINAL
ejpam-5038	120	3	2	CARDINAL
ejpam-5038	120	4	3	CARDINAL
ejpam-5038	120	5	4	CARDINAL
ejpam-5038	120	6	1 ≤	QUANTITY
ejpam-5038	120	7	1	CARDINAL
ejpam-5038	120	8	x(k	PERSON
ejpam-5038	121	1	lemma 1	ORG
ejpam-5038	121	2	3	CARDINAL
ejpam-5038	121	3	6	CARDINAL
ejpam-5038	121	4	d′ 1	PERSON
ejpam-5038	121	5	5	CARDINAL
ejpam-5038	121	6	8	CARDINAL
ejpam-5038	121	7	19	CARDINAL
ejpam-5038	121	8	22	CARDINAL
ejpam-5038	121	9	d′ 3	PERSON
ejpam-5038	121	10	21	DATE
ejpam-5038	121	11	24	DATE
ejpam-5038	122	1	d′ 3	PERSON
ejpam-5038	123	1	more than 4	CARDINAL
ejpam-5038	124	1	5(a	CARDINAL
ejpam-5038	126	1	4	CARDINAL
ejpam-5038	127	1	5(b	CARDINAL
ejpam-5038	128	1	less than 4	CARDINAL
ejpam-5038	129	1	4	CARDINAL
ejpam-5038	129	2	1 ≤	QUANTITY
ejpam-5038	129	3	2k−1	CARDINAL
ejpam-5038	130	1	v. shalini	PERSON
ejpam-5038	130	2	i. rajasingh	PERSON
ejpam-5038	131	1	j. pure	PERSON
ejpam-5038	131	2	17	CARDINAL
ejpam-5038	131	3	2	CARDINAL
ejpam-5038	131	4	2024	CARDINAL
ejpam-5038	131	5	1082	CARDINAL
ejpam-5038	131	6	1087	CARDINAL
ejpam-5038	131	7	5	CARDINAL
ejpam-5038	133	1	1	CARDINAL
ejpam-5038	136	1	x(k	PERSON
ejpam-5038	137	1	2k+3−4 15	DATE
ejpam-5038	138	1	0	CARDINAL
ejpam-5038	141	1	1	CARDINAL
ejpam-5038	141	2	2k+3−1 15	DATE
ejpam-5038	141	3	k + 1	ORG
ejpam-5038	141	4	2	CARDINAL
ejpam-5038	141	5	4	CARDINAL
ejpam-5038	141	6	2k+3−2 15	DATE
ejpam-5038	141	7	k + 1	ORG
ejpam-5038	141	8	3	CARDINAL
ejpam-5038	142	1	lemma 2	ORG
ejpam-5038	142	2	lemma 4	ORG
ejpam-5038	142	3	4	CARDINAL
ejpam-5038	142	4	2k−1	CARDINAL
ejpam-5038	142	5	x(k	PERSON
ejpam-5038	143	1	4	CARDINAL
ejpam-5038	143	2	x(k	ORG
ejpam-5038	143	3	x(k − 4	PERSON
ejpam-5038	144	1	4	CARDINAL
ejpam-5038	144	2	4	CARDINAL
ejpam-5038	144	3	x(0	PERSON
ejpam-5038	144	4	x(3	PERSON
ejpam-5038	144	5	k + 1	ORG
ejpam-5038	144	6	0	CARDINAL
ejpam-5038	144	7	1	DATE
ejpam-5038	144	8	2	CARDINAL
ejpam-5038	144	9	3	CARDINAL
ejpam-5038	147	1	1	CARDINAL
ejpam-5038	148	1	2	CARDINAL
ejpam-5038	148	2	x(k	ORG
ejpam-5038	149	1	k + 1	ORG
ejpam-5038	149	2	0	CARDINAL
ejpam-5038	149	3	2k+3−4 15	DATE
ejpam-5038	149	4	k + 1	ORG
ejpam-5038	149	5	1	CARDINAL
ejpam-5038	149	6	|d|=	CARDINAL
ejpam-5038	149	7	2k+3+7 15	DATE
ejpam-5038	149	8	k + 1	ORG
ejpam-5038	149	9	2	CARDINAL
ejpam-5038	149	10	|d|=	CARDINAL
ejpam-5038	149	11	k + 1 ≡ 3 (mod 4	ORG
ejpam-5038	149	12	|d|=	CARDINAL
ejpam-5038	149	13	r2	ORG
ejpam-5038	149	14	3	CARDINAL
ejpam-5038	149	15	6	CARDINAL
ejpam-5038	149	16	5	CARDINAL
ejpam-5038	149	17	8	CARDINAL
ejpam-5038	149	18	x(3	PERSON
ejpam-5038	149	19	1(a	CARDINAL
ejpam-5038	149	20	x(3	PERSON
ejpam-5038	151	1	2	CARDINAL
ejpam-5038	152	1	x(k	PERSON
ejpam-5038	152	2	0	DATE
ejpam-5038	154	1	k ≥ 0	ORG
ejpam-5038	156	1	two	CARDINAL
ejpam-5038	156	2	d′	PERSON
ejpam-5038	156	3	one	CARDINAL
ejpam-5038	156	4	d′	GPE
ejpam-5038	156	5	x(3	PERSON
ejpam-5038	156	6	1	CARDINAL
ejpam-5038	157	1	x(3	PERSON
ejpam-5038	157	2	x(0	PERSON
ejpam-5038	157	3	k + 1	ORG
ejpam-5038	157	4	1	CARDINAL
ejpam-5038	157	5	2	CARDINAL
ejpam-5038	158	1	6	CARDINAL
ejpam-5038	159	1	k + 1	ORG
ejpam-5038	159	2	1	CARDINAL
ejpam-5038	159	3	r.	NORP
ejpam-5038	159	4	k + 1	ORG
ejpam-5038	159	5	3(mod 4	DATE
ejpam-5038	159	6	2	CARDINAL
ejpam-5038	159	7	i. rajasingh	PERSON
ejpam-5038	160	1	j. pure	PERSON
ejpam-5038	160	2	17	CARDINAL
ejpam-5038	160	3	2	CARDINAL
ejpam-5038	160	4	2024	CARDINAL
ejpam-5038	160	5	1082	CARDINAL
ejpam-5038	160	6	1088	CARDINAL
ejpam-5038	160	7	6	CARDINAL
ejpam-5038	160	8	k + 1	ORG
ejpam-5038	160	9	1	CARDINAL
ejpam-5038	160	10	2	DATE
ejpam-5038	160	11	3	CARDINAL
ejpam-5038	160	12	7	CARDINAL
ejpam-5038	160	13	3	CARDINAL
ejpam-5038	161	1	st	PERSON
ejpam-5038	161	2	2	CARDINAL
ejpam-5038	162	1	x(2	PERSON
ejpam-5038	163	1	d′	PERSON
ejpam-5038	163	2	1	CARDINAL
ejpam-5038	163	3	γ′(x(k	ORG
ejpam-5038	164	1	k ≥ 0	ORG
ejpam-5038	165	1	x(k	PERSON
ejpam-5038	165	2	k ≥ 0	ORG
ejpam-5038	165	3	1	CARDINAL
ejpam-5038	167	1	3	CARDINAL
ejpam-5038	168	1	x(k	PERSON
ejpam-5038	168	2	dimension k.	PERSON
ejpam-5038	170	1	γ′(x(k	ORG
ejpam-5038	172	1	3	CARDINAL
ejpam-5038	172	2	tree st	PERSON
ejpam-5038	173	1	0	CARDINAL
ejpam-5038	174	1	i− 1	DATE
ejpam-5038	174	2	r. st	PERSON
ejpam-5038	175	1	2r+1	CARDINAL
ejpam-5038	175	2	1	CARDINAL
ejpam-5038	175	3	3(2r	CARDINAL
ejpam-5038	175	4	1	CARDINAL
ejpam-5038	176	1	st (2	ORG
ejpam-5038	176	2	7(b	CARDINAL
ejpam-5038	179	1	vertex w	ORG
ejpam-5038	179	2	2	CARDINAL
ejpam-5038	180	1	st	GPE
ejpam-5038	180	2	17	CARDINAL
ejpam-5038	181	1	st	GPE
ejpam-5038	182	1	v. shalini	PERSON
ejpam-5038	182	2	i. rajasingh	PERSON
ejpam-5038	183	1	j. pure	PERSON
ejpam-5038	183	2	17	CARDINAL
ejpam-5038	183	3	2	CARDINAL
ejpam-5038	183	4	2024	CARDINAL
ejpam-5038	183	5	1082-1093 1089	QUANTITY
ejpam-5038	183	6	5	CARDINAL
ejpam-5038	184	1	three	CARDINAL
ejpam-5038	184	2	2	CARDINAL
ejpam-5038	184	3	st (2	ORG
ejpam-5038	185	1	γ(h	ORG
ejpam-5038	185	2	2	CARDINAL
ejpam-5038	186	1	w	ORG
ejpam-5038	187	1	5	CARDINAL
ejpam-5038	188	1	γ(h	ORG
ejpam-5038	188	2	2	CARDINAL
ejpam-5038	188	3	2	CARDINAL
ejpam-5038	188	4	4	CARDINAL
ejpam-5038	189	1	tree st	PERSON
ejpam-5038	190	1	γ(st	ORG
ejpam-5038	192	1	1 7(2	CARDINAL
ejpam-5038	192	2	+ 3	DATE
ejpam-5038	193	1	1 7(2	CARDINAL
ejpam-5038	193	2	1	CARDINAL
ejpam-5038	193	3	≡ 1	ORG
ejpam-5038	193	4	1 7(2	CARDINAL
ejpam-5038	193	5	2	CARDINAL
ejpam-5038	193	6	≡ 2	ORG
ejpam-5038	194	1	l3	ORG
ejpam-5038	194	2	st	GPE
ejpam-5038	194	3	3	CARDINAL
ejpam-5038	196	1	0	CARDINAL
ejpam-5038	196	2	l0	ORG
ejpam-5038	196	3	1	CARDINAL
ejpam-5038	196	4	0	CARDINAL
ejpam-5038	196	5	⋃⌊	PRODUCT
ejpam-5038	196	6	3 ⌋−1 i=0	PERCENT
ejpam-5038	196	7	{lr−3i−2	PERSON
ejpam-5038	196	8	1	CARDINAL
ejpam-5038	196	9	l0	NORP
ejpam-5038	196	10	⋃⌊	PRODUCT
ejpam-5038	196	11	3 ⌋−1 i=0	PERCENT
ejpam-5038	196	12	{lr−3i−2	PERSON
ejpam-5038	196	13	2	CARDINAL
ejpam-5038	196	14	3	CARDINAL
ejpam-5038	197	1	2r−3i−2	CARDINAL
ejpam-5038	197	2	0 ≤	MONEY
ejpam-5038	198	1	2r−3i−2	CARDINAL
ejpam-5038	198	2	2	CARDINAL
ejpam-5038	198	3	0 ≤	MONEY
ejpam-5038	198	4	1	CARDINAL
ejpam-5038	199	1	2	CARDINAL
ejpam-5038	199	2	st (	GPE
ejpam-5038	199	3	3	CARDINAL
ejpam-5038	199	4	3	CARDINAL
ejpam-5038	199	5	2r+1 7	DATE
ejpam-5038	199	6	23⌊	CARDINAL
ejpam-5038	199	7	3	CARDINAL
ejpam-5038	199	8	3	CARDINAL
ejpam-5038	200	1	1 7	DATE
ejpam-5038	200	2	2r+1	CARDINAL
ejpam-5038	200	3	2r(mod	CARDINAL
ejpam-5038	200	4	5	CARDINAL
ejpam-5038	200	5	2	CARDINAL
ejpam-5038	200	6	2	CARDINAL
ejpam-5038	201	1	γ(st	ORG
ejpam-5038	203	1	2α	CARDINAL
ejpam-5038	203	2	1(mod 3	CARDINAL
ejpam-5038	203	3	γ(st	ORG
ejpam-5038	205	1	2α + 2	MONEY
ejpam-5038	205	2	3	CARDINAL
ejpam-5038	207	1	5	CARDINAL
ejpam-5038	208	1	tree st	PERSON
ejpam-5038	209	1	γ′(st	NORP
ejpam-5038	212	1	two	CARDINAL
ejpam-5038	212	2	d′	PERSON
ejpam-5038	213	1	one	CARDINAL
ejpam-5038	213	2	d′	GPE
ejpam-5038	213	3	2	CARDINAL
ejpam-5038	213	4	4	CARDINAL
ejpam-5038	214	1	2	CARDINAL
ejpam-5038	214	2	1	CARDINAL
ejpam-5038	214	3	0	CARDINAL
ejpam-5038	214	4	1	CARDINAL
ejpam-5038	215	1	7(b	CARDINAL
ejpam-5038	215	2	st (r	GPE
ejpam-5038	215	3	d′	PERSON
ejpam-5038	215	4	4	CARDINAL
ejpam-5038	215	5	γ ′	ORG
ejpam-5038	217	1	v. shalini	PERSON
ejpam-5038	217	2	i. rajasingh	PERSON
ejpam-5038	218	1	j. pure	PERSON
ejpam-5038	218	2	17	CARDINAL
ejpam-5038	218	3	2	CARDINAL
ejpam-5038	218	4	2024	CARDINAL
ejpam-5038	218	5	1082-1093 1090	QUANTITY
ejpam-5038	218	6	st	GPE
ejpam-5038	218	7	4	CARDINAL
ejpam-5038	220	1	6	CARDINAL
ejpam-5038	221	1	tree st	PERSON
ejpam-5038	222	1	γ(st	ORG
ejpam-5038	226	1	tree st	PERSON
ejpam-5038	226	2	2	CARDINAL
ejpam-5038	227	1	2r	CARDINAL
ejpam-5038	229	1	2	CARDINAL
ejpam-5038	230	1	st	GPE
ejpam-5038	230	2	2	CARDINAL
ejpam-5038	231	1	st (	GPE
ejpam-5038	231	2	1 ≤	QUANTITY
ejpam-5038	232	1	1	CARDINAL
ejpam-5038	233	1	st	GPE
ejpam-5038	234	1	g′	PERSON
ejpam-5038	234	2	st	GPE
ejpam-5038	240	1	∈	ORG
ejpam-5038	240	2	d.	NORP
ejpam-5038	240	3	1 ≤	QUANTITY
ejpam-5038	241	1	1	CARDINAL
ejpam-5038	241	2	d.	NORP
ejpam-5038	241	3	g. hence	PERSON
ejpam-5038	242	1	2r+1	CARDINAL
ejpam-5038	243	1	1− 2r	QUANTITY
ejpam-5038	243	2	2r	CARDINAL
ejpam-5038	244	1	2	CARDINAL
ejpam-5038	244	2	4	CARDINAL
ejpam-5038	244	3	1	CARDINAL
ejpam-5038	245	1	0	CARDINAL
ejpam-5038	246	1	0	CARDINAL
ejpam-5038	246	2	1	CARDINAL
ejpam-5038	247	1	8	CARDINAL
ejpam-5038	248	1	2x	CARDINAL
ejpam-5038	248	2	2x+1	CARDINAL
ejpam-5038	249	1	two	CARDINAL
ejpam-5038	249	2	2i−1	CARDINAL
ejpam-5038	251	1	2n+1− 1 vertices	ORG
ejpam-5038	251	2	3(2n− 1)edges	DATE
ejpam-5038	253	1	11	CARDINAL
ejpam-5038	254	1	8	CARDINAL
ejpam-5038	254	2	3	CARDINAL
ejpam-5038	255	1	4	CARDINAL
ejpam-5038	255	2	n ≡ 0	ORG
ejpam-5038	255	3	1(mod 3	CARDINAL
ejpam-5038	256	1	17	CARDINAL
ejpam-5038	257	1	v. shalini	PERSON
ejpam-5038	257	2	i. rajasingh	PERSON
ejpam-5038	258	1	j. pure	PERSON
ejpam-5038	258	2	17	CARDINAL
ejpam-5038	258	3	2	CARDINAL
ejpam-5038	258	4	2024	CARDINAL
ejpam-5038	258	5	1082	CARDINAL
ejpam-5038	262	1	1 7(2	CARDINAL
ejpam-5038	262	2	+ 3	DATE
ejpam-5038	262	3	1 7(2	CARDINAL
ejpam-5038	262	4	1	CARDINAL
ejpam-5038	262	5	≡ 1	ORG
ejpam-5038	262	6	8.1	CARDINAL
ejpam-5038	266	1	+ 1	CARDINAL
ejpam-5038	266	2	1 7(2	CARDINAL
ejpam-5038	266	3	2	CARDINAL
ejpam-5038	266	4	2	CARDINAL
ejpam-5038	267	1	9	CARDINAL
ejpam-5038	268	1	5	CARDINAL
ejpam-5038	271	1	x(k	GPE
ejpam-5038	271	2	st (k	GPE
ejpam-5038	272	1	x(k	ORG
ejpam-5038	272	2	st (k	GPE
ejpam-5038	273	1	9	CARDINAL
ejpam-5038	274	1	x(k	PERSON
ejpam-5038	274	2	k ≥ 0.	ORG
ejpam-5038	275	1	6	CARDINAL
ejpam-5038	276	1	christmas	DATE
ejpam-5038	277	1	1092	CARDINAL
ejpam-5038	277	2	1	CARDINAL
ejpam-5038	277	3	robert glen arnold	PERSON
ejpam-5038	279	1	3rd	ORDINAL
ejpam-5038	279	2	annual	DATE
ejpam-5038	279	3	1976	DATE
ejpam-5038	280	1	2	CARDINAL
ejpam-5038	280	2	gs grace	PERSON
ejpam-5038	282	1	95:103–111	CARDINAL
ejpam-5038	282	2	2010	DATE
ejpam-5038	283	1	3	CARDINAL
ejpam-5038	283	2	kavitha	GPE
ejpam-5038	284	1	2	CARDINAL
ejpam-5038	284	2	3	CARDINAL
ejpam-5038	285	1	advances & applications	ORG
ejpam-5038	285	2	23(2	CARDINAL
ejpam-5038	285	3	2020	DATE
ejpam-5038	286	1	4	CARDINAL
ejpam-5038	286	2	bevan das	PERSON
ejpam-5038	286	3	vaduvur bharghavan	PERSON
ejpam-5038	288	1	1	CARDINAL
ejpam-5038	288	2	376–380	CARDINAL
ejpam-5038	289	1	1997	DATE
ejpam-5038	290	1	5	CARDINAL
ejpam-5038	290	2	despain	PERSON
ejpam-5038	290	3	david	PERSON
ejpam-5038	290	4	patterson	PERSON
ejpam-5038	292	1	5th	ORDINAL
ejpam-5038	292	2	144–151, 1978	DATE
ejpam-5038	293	1	6	CARDINAL
ejpam-5038	293	2	s domke	ORG
ejpam-5038	293	3	jean e dunbar	PERSON
ejpam-5038	293	4	lisa r markus	PERSON
ejpam-5038	295	1	72:149–160	CARDINAL
ejpam-5038	295	2	2004	DATE
ejpam-5038	296	1	7	CARDINAL
ejpam-5038	300	1	9(1):103–129	CARDINAL
ejpam-5038	300	2	mar 1977	DATE
ejpam-5038	301	1	8	CARDINAL
ejpam-5038	301	2	allan frendrup	PERSON
ejpam-5038	301	3	michael a henning	PERSON
ejpam-5038	301	4	bert randerath	PERSON
ejpam-5038	303	1	2009	DATE
ejpam-5038	304	1	9	CARDINAL
ejpam-5038	304	2	john k	PERSON
ejpam-5038	304	3	levy raskin	PERSON
ejpam-5038	304	4	paul	PERSON
ejpam-5038	304	5	rubinfeld	GPE
ejpam-5038	304	6	pj sindhu	PERSON
ejpam-5038	304	7	richard j swan	PERSON
ejpam-5038	306	1	66(2):216–228, 1978	DATE
ejpam-5038	307	1	10	CARDINAL
ejpam-5038	307	2	m. r. garey	PERSON
ejpam-5038	307	3	david s. johnson	PERSON
ejpam-5038	309	1	1978	DATE
ejpam-5038	310	1	11	CARDINAL
ejpam-5038	310	2	james r. goodman	PERSON
ejpam-5038	310	3	carlo h. séquin	PERSON
ejpam-5038	310	4	hypertree	PERSON
ejpam-5038	311	1	1981	DATE
ejpam-5038	312	1	12	CARDINAL
ejpam-5038	312	2	wolfgang händler	PERSON
ejpam-5038	312	3	fridolin hofmann	PERSON
ejpam-5038	312	4	hans jorgen schneider	PERSON
ejpam-5038	314	1	informatik erlangen	PERSON
ejpam-5038	314	2	1975	DATE
ejpam-5038	314	3	311–335	CARDINAL
ejpam-5038	314	4	1976	DATE
ejpam-5038	315	1	13	CARDINAL
ejpam-5038	315	2	w. haynes	PERSON
ejpam-5038	315	3	stephen t. hedetniemi	PERSON
ejpam-5038	315	4	peter j. slater	PERSON
ejpam-5038	317	1	1998	DATE
ejpam-5038	318	1	1093	CARDINAL
ejpam-5038	319	1	14	CARDINAL
ejpam-5038	319	2	v. kulli	PERSON
ejpam-5038	319	3	s.c.	GPE
ejpam-5038	320	1	national academy science letters	ORG
ejpam-5038	320	2	14	DATE
ejpam-5038	320	3	01 1991	DATE
ejpam-5038	321	1	15	CARDINAL
ejpam-5038	321	2	li	PERSON
ejpam-5038	321	3	hongwei du	PERSON
ejpam-5038	321	4	peng-jun wan	PERSON
ejpam-5038	321	5	xiaofeng gao	PERSON
ejpam-5038	321	6	zhao zhang	PERSON
ejpam-5038	321	7	wu	PERSON
ejpam-5038	322	1	asymmetric multihop	LOC
ejpam-5038	323	1	410(8-10):661–669	CARDINAL
ejpam-5038	323	2	2009	DATE
ejpam-5038	324	1	16	CARDINAL
ejpam-5038	324	2	arthur l liestman	PERSON
ejpam-5038	324	3	thomas c shermer	PERSON
ejpam-5038	325	1	siam journal	ORG
ejpam-5038	325	2	8(2):291–321, 1995	DATE
ejpam-5038	326	1	17	CARDINAL
ejpam-5038	326	2	indra rajasingh	PERSON
ejpam-5038	326	3	sundara rajan	PERSON
ejpam-5038	328	1	280:237–245	CARDINAL
ejpam-5038	328	2	2020	DATE
ejpam-5038	329	1	18	CARDINAL
ejpam-5038	331	1	j. math	PERSON
ejpam-5038	332	1	1979	DATE
ejpam-5038	333	1	19	CARDINAL
ejpam-5038	333	2	indra rajasingh	PERSON
ejpam-5038	335	1	15(4):1055–1063	CARDINAL
ejpam-5038	335	2	2020	DATE
ejpam-5038	336	1	20	CARDINAL
ejpam-5038	336	2	indra rajasingh	PERSON
ejpam-5038	338	1	procedia computer science	ORG
ejpam-5038	338	2	172:66–70	DATE
ejpam-5038	338	3	2020	DATE
ejpam-5038	339	1	21	CARDINAL
ejpam-5038	339	2	indra rajasingh	PERSON
ejpam-5038	341	1	1012	CARDINAL
ejpam-5038	341	2	012066	DATE
ejpam-5038	342	1	iop publishing	ORG
ejpam-5038	342	2	2021	CARDINAL
ejpam-5038	343	1	22	CARDINAL
ejpam-5038	343	2	howard jay siegel	PERSON
ejpam-5038	343	3	craig b. stunkel	PERSON
ejpam-5038	346	1	sci	ORG
ejpam-5038	347	1	eng	GPE
ejpam-5038	347	2	3(3):69–71	DATE
ejpam-5038	347	3	sep 1996	DATE
ejpam-5038	348	1	23	CARDINAL
ejpam-5038	348	2	richard j swan	PERSON
ejpam-5038	348	3	samuel h fuller	PERSON
ejpam-5038	348	4	daniel p	ORG
ejpam-5038	350	1	june 13-16, 1977	DATE
ejpam-5038	350	2	637–644, 1977	DATE
ejpam-5038	351	1	24	CARDINAL
ejpam-5038	351	2	yahya talebi	PERSON
ejpam-5038	351	3	hossein	PERSON
ejpam-5038	353	1	10(4):375–389	CARDINAL
ejpam-5038	353	2	2019	DATE
ejpam-5038	354	1	25	CARDINAL
ejpam-5038	354	2	jie wu	PERSON
ejpam-5038	354	3	hailan li	PERSON
ejpam-5038	356	1	3rd	ORDINAL
ejpam-5038	356	2	1999	DATE