id	sid	eid	entity	type
ejpam-5057	1	1	european journal	ORG
ejpam-5057	2	1	17	CARDINAL
ejpam-5057	2	2	2	CARDINAL
ejpam-5057	2	3	2024	DATE
ejpam-5057	2	4	772	CARDINAL
ejpam-5057	2	5	1307-5543	DATE
ejpam-5057	3	1	new york	GPE
ejpam-5057	3	2	bipartite	ORG
ejpam-5057	3	3	bipartite	ORG
ejpam-5057	3	4	manickam1	PERSON
ejpam-5057	3	5	kalyani	GPE
ejpam-5057	3	6	1	CARDINAL
ejpam-5057	3	7	vellore institute of technology	ORG
ejpam-5057	3	8	tamilnadu	GPE
ejpam-5057	3	9	india	GPE
ejpam-5057	4	1	second	ORDINAL
ejpam-5057	6	1	bipartite	NORP
ejpam-5057	7	1	first	ORDINAL
ejpam-5057	7	2	bipartite	NORP
ejpam-5057	7	3	bipartite	NORP
ejpam-5057	8	1	second	ORDINAL
ejpam-5057	8	2	second	ORDINAL
ejpam-5057	9	1	bipartite	ORG
ejpam-5057	10	1	bipartite	ORG
ejpam-5057	10	2	2	CARDINAL
ejpam-5057	10	3	bipartite	ORG
ejpam-5057	11	1	bipartite	NORP
ejpam-5057	12	1	bipartite	ORG
ejpam-5057	13	1	2020	DATE
ejpam-5057	13	2	05c40	CARDINAL
ejpam-5057	13	3	05c50	CARDINAL
ejpam-5057	13	4	second	ORDINAL
ejpam-5057	13	5	bipartite	ORG
ejpam-5057	13	6	1	CARDINAL
ejpam-5057	15	1	a(g	DATE
ejpam-5057	16	1	aij	ORG
ejpam-5057	16	2	1	CARDINAL
ejpam-5057	16	3	0	CARDINAL
ejpam-5057	18	1	− a(g	PERSON
ejpam-5057	18	2	d(g	ORG
ejpam-5057	20	1	q(g	PERSON
ejpam-5057	23	1	bipartite	ORG
ejpam-5057	24	1	kalyanidesikan@vit.ac.in	PERSON
ejpam-5057	25	1	772	CARDINAL
ejpam-5057	25	2	2024	CARDINAL
ejpam-5057	27	1	j. pure	PERSON
ejpam-5057	27	2	17	CARDINAL
ejpam-5057	27	3	2	CARDINAL
ejpam-5057	27	4	2024	CARDINAL
ejpam-5057	27	5	772	CARDINAL
ejpam-5057	31	1	γ	GPE
ejpam-5057	31	2	bipartite	ORG
ejpam-5057	31	3	|x| = n	PERSON
ejpam-5057	31	4	d(x	ORG
ejpam-5057	33	1	⊆	CARDINAL
ejpam-5057	35	1	at least 1−m	CARDINAL
ejpam-5057	38	1	bipartite	NORP
ejpam-5057	39	1	σ	ORG
ejpam-5057	44	1	two	CARDINAL
ejpam-5057	44	2	d(c	PERSON
ejpam-5057	45	1	linear	ORG
ejpam-5057	47	1	ldpc	ORG
ejpam-5057	47	2	1′s	CARDINAL
ejpam-5057	48	1	section 4	LAW
ejpam-5057	48	2	second	ORDINAL
ejpam-5057	48	3	second	ORDINAL
ejpam-5057	48	4	second	ORDINAL
ejpam-5057	48	5	bipartite	NORP
ejpam-5057	48	6	bipartite	ORG
ejpam-5057	48	7	second	ORDINAL
ejpam-5057	48	8	second	ORDINAL
ejpam-5057	49	1	section 5	LAW
ejpam-5057	49	2	bipartite	NORP
ejpam-5057	49	3	bipartite	ORG
ejpam-5057	51	1	j. pure	PERSON
ejpam-5057	51	2	17	CARDINAL
ejpam-5057	51	3	2	CARDINAL
ejpam-5057	51	4	2024	CARDINAL
ejpam-5057	51	5	772	CARDINAL
ejpam-5057	51	6	bipartite	NORP
ejpam-5057	52	1	section 6	LAW
ejpam-5057	53	1	2.	CARDINAL
ejpam-5057	55	1	second	ORDINAL
ejpam-5057	56	1	chang	PERSON
ejpam-5057	57	1	2	CARDINAL
ejpam-5057	57	2	second	ORDINAL
ejpam-5057	58	1	second	ORDINAL
ejpam-5057	58	2	patrik solv	PERSON
ejpam-5057	59	1	14	CARDINAL
ejpam-5057	60	1	mehatari	PERSON
ejpam-5057	60	2	kannan	PERSON
ejpam-5057	60	3	11	CARDINAL
ejpam-5057	60	4	second	ORDINAL
ejpam-5057	60	5	second	ORDINAL
ejpam-5057	61	1	1988	DATE
ejpam-5057	61	2	12	CARDINAL
ejpam-5057	61	3	second	ORDINAL
ejpam-5057	61	4	bipartite	ORG
ejpam-5057	62	1	2012	DATE
ejpam-5057	63	1	18	CARDINAL
ejpam-5057	63	2	second	ORDINAL
ejpam-5057	63	3	bipartite	ORG
ejpam-5057	64	1	bipartite	ORG
ejpam-5057	64	2	1	CARDINAL
ejpam-5057	64	3	1 2	CARDINAL
ejpam-5057	67	1	2002	DATE
ejpam-5057	67	2	capalbo et al	PERSON
ejpam-5057	68	1	4	CARDINAL
ejpam-5057	68	2	1	CARDINAL
ejpam-5057	68	3	0	CARDINAL
ejpam-5057	69	1	one	CARDINAL
ejpam-5057	69	2	16	CARDINAL
ejpam-5057	70	1	13]-[15	CARDINAL
ejpam-5057	72	1	17	CARDINAL
ejpam-5057	72	2	bipartite	ORG
ejpam-5057	73	1	bipartite	ORG
ejpam-5057	73	2	2	CARDINAL
ejpam-5057	74	1	3	CARDINAL
ejpam-5057	74	2	1	CARDINAL
ejpam-5057	77	1	mt1	PERSON
ejpam-5057	77	2		ORG
ejpam-5057	77	3	1	CARDINAL
ejpam-5057	77	4	2	DATE
ejpam-5057	79	1	bij	ORG
ejpam-5057	79	2	2	CARDINAL
ejpam-5057	80	1	3](interlacing	CARDINAL
ejpam-5057	80	2	two	CARDINAL
ejpam-5057	84	1	second	ORDINAL
ejpam-5057	84	2	first	ORDINAL
ejpam-5057	84	3	1	CARDINAL
ejpam-5057	84	4	2	DATE
ejpam-5057	86	1	j. pure	PERSON
ejpam-5057	86	2	17	CARDINAL
ejpam-5057	86	3	2	CARDINAL
ejpam-5057	86	4	2024	CARDINAL
ejpam-5057	86	5	772	CARDINAL
ejpam-5057	86	6	k ∈	PERSON
ejpam-5057	87	1	1 ≤	QUANTITY
ejpam-5057	88	1	3	CARDINAL
ejpam-5057	89	1	one	CARDINAL
ejpam-5057	90	1	1	CARDINAL
ejpam-5057	91	1	6]-[10	CARDINAL
ejpam-5057	93	1	xm	ORG
ejpam-5057	94	1	a. (ii	PERSON
ejpam-5057	95	1	4	CARDINAL
ejpam-5057	96	1	8	CARDINAL
ejpam-5057	96	2	⊆	CARDINAL
ejpam-5057	96	3	|s| ≤ n 2	FAC
ejpam-5057	96	4	n(s	GPE
ejpam-5057	96	5	5	CARDINAL
ejpam-5057	97	1	8	CARDINAL
ejpam-5057	98	1	6	CARDINAL
ejpam-5057	99	1	1	CARDINAL
ejpam-5057	100	1	n(s	GPE
ejpam-5057	101	1	⊆	CARDINAL
ejpam-5057	102	1	1 +	DATE
ejpam-5057	103	1	7	CARDINAL
ejpam-5057	104	1	4	CARDINAL
ejpam-5057	104	2	bipartite	ORG
ejpam-5057	104	3	|x| = n	PERSON
ejpam-5057	104	4	⊆	CARDINAL
ejpam-5057	104	5	|s| ≤ γn	ORG
ejpam-5057	104	6	γ	GPE
ejpam-5057	106	1	2	CARDINAL
ejpam-5057	109	1	2	CARDINAL
ejpam-5057	110	1	8	CARDINAL
ejpam-5057	113	1	0	CARDINAL
ejpam-5057	113	2	0	CARDINAL
ejpam-5057	114	1	1− γ	PRODUCT
ejpam-5057	116	1	3	CARDINAL
ejpam-5057	117	1	5	CARDINAL
ejpam-5057	117	2	γ	GPE
ejpam-5057	118	1	2γ(1−	CARDINAL
ejpam-5057	118	2	graph g. m.machasri	PERSON
ejpam-5057	119	1	j. pure	PERSON
ejpam-5057	119	2	17	CARDINAL
ejpam-5057	119	3	2	CARDINAL
ejpam-5057	119	4	2024	CARDINAL
ejpam-5057	119	5	772-789 776 4	QUANTITY
ejpam-5057	120	1	bipartite	NORP
ejpam-5057	120	2	second	ORDINAL
ejpam-5057	120	3	bipartite	ORG
ejpam-5057	121	1	second	ORDINAL
ejpam-5057	121	2	bipartite	ORG
ejpam-5057	122	1	bipartite	NORP
ejpam-5057	122	2	8	CARDINAL
ejpam-5057	123	1	bipartite	NORP
ejpam-5057	123	2	bipartite	ORG
ejpam-5057	124	1	bipartite	NORP
ejpam-5057	124	2	g. 4.1	PERSON
ejpam-5057	125	1	second	ORDINAL
ejpam-5057	125	2	second	ORDINAL
ejpam-5057	125	3	second	ORDINAL
ejpam-5057	125	4	second	ORDINAL
ejpam-5057	125	5	bipartite	NORP
ejpam-5057	125	6	graph g. theorem 1	PERSON
ejpam-5057	126	1	bipartite	ORG
ejpam-5057	127	1	≥ λn−1	PERSON
ejpam-5057	127	2	bipartite	NORP
ejpam-5057	128	1	λn−1 ≥ η2 ≥	PERSON
ejpam-5057	128	2	λn−1 ≥ −m√	PERSON
ejpam-5057	130	1	a11 a12 a21 a22	ORG
ejpam-5057	131	1	bipartite	NORP
ejpam-5057	133	1	0	CARDINAL
ejpam-5057	134	1	− m2	PERSON
ejpam-5057	135	1	n m.machasri	GPE
ejpam-5057	136	1	j. pure	PERSON
ejpam-5057	136	2	17	CARDINAL
ejpam-5057	136	3	2	CARDINAL
ejpam-5057	136	4	2024	CARDINAL
ejpam-5057	136	5	772	CARDINAL
ejpam-5057	136	6	789 777	CARDINAL
ejpam-5057	138	1	s̃	PERSON
ejpam-5057	140	1	2	CARDINAL
ejpam-5057	141	1	k	PERSON
ejpam-5057	141	2	0 0 n2	QUANTITY
ejpam-5057	143	1	ri1	NORP
ejpam-5057	144	1	1	CARDINAL
ejpam-5057	145	1	1	CARDINAL
ejpam-5057	145	2	1	CARDINAL
ejpam-5057	146	1	n1 √ n1 vi ∈	PERSON
ejpam-5057	146	2	∈	ORG
ejpam-5057	146	3	0	CARDINAL
ejpam-5057	148	1	0	CARDINAL
ejpam-5057	150	1	1	CARDINAL
ejpam-5057	150	2	2	DATE
ejpam-5057	152	1	mn	GPE
ejpam-5057	153	1	2	CARDINAL
ejpam-5057	153	2	3	DATE
ejpam-5057	155	1	1	CARDINAL
ejpam-5057	158	1	λn−1 ≥	GPE
ejpam-5057	160	1	first	ORDINAL
ejpam-5057	163	1	bipartite	ORG
ejpam-5057	165	1	λn−1	PERSON
ejpam-5057	169	1	j. pure	PERSON
ejpam-5057	169	2	17	CARDINAL
ejpam-5057	169	3	2	CARDINAL
ejpam-5057	169	4	2024	CARDINAL
ejpam-5057	169	5	772-789 778	QUANTITY
ejpam-5057	169	6	λn−1 ≥	GPE
ejpam-5057	171	1	1	CARDINAL
ejpam-5057	172	1	bipartite	ORG
ejpam-5057	174	1	1	CARDINAL
ejpam-5057	175	1	2	CARDINAL
ejpam-5057	176	1	bipartite	ORG
ejpam-5057	176	2	λn−1 ≥	ORG
ejpam-5057	178	1	1	CARDINAL
ejpam-5057	179	1	1	CARDINAL
ejpam-5057	180	1	1	CARDINAL
ejpam-5057	181	1	three	CARDINAL
ejpam-5057	182	1	2	CARDINAL
ejpam-5057	182	2	2	CARDINAL
ejpam-5057	182	3	n2 , n 2	PRODUCT
ejpam-5057	183	1	1	CARDINAL
ejpam-5057	183	2	1	CARDINAL
ejpam-5057	185	1	3n−4 4	DATE
ejpam-5057	185	2	0	CARDINAL
ejpam-5057	185	3	1	DATE
ejpam-5057	185	4	2	CARDINAL
ejpam-5057	186	1	3n−5 4	DATE
ejpam-5057	186	2	4	CARDINAL
ejpam-5057	186	3	0	CARDINAL
ejpam-5057	186	4	1	DATE
ejpam-5057	186	5	2	CARDINAL
ejpam-5057	187	1	bipartite	NORP
ejpam-5057	187	2	three	CARDINAL
ejpam-5057	189	1	bipartite	NORP
ejpam-5057	189	2	three	CARDINAL
ejpam-5057	192	1	j. pure	PERSON
ejpam-5057	192	2	17	CARDINAL
ejpam-5057	192	3	2	CARDINAL
ejpam-5057	192	4	2024	CARDINAL
ejpam-5057	192	5	772	CARDINAL
ejpam-5057	192	6	2	CARDINAL
ejpam-5057	193	1	bipartite	ORG
ejpam-5057	196	1	1	CARDINAL
ejpam-5057	197	1	2	CARDINAL
ejpam-5057	198	1	1	CARDINAL
ejpam-5057	199	1	2	CARDINAL
ejpam-5057	200	1	2	CARDINAL
ejpam-5057	201	1	2	CARDINAL
ejpam-5057	201	2	1	CARDINAL
ejpam-5057	201	3	1	CARDINAL
ejpam-5057	201	4	3	CARDINAL
ejpam-5057	202	1	2	CARDINAL
ejpam-5057	204	1	4(n−1)√	CARDINAL
ejpam-5057	204	2	0	CARDINAL
ejpam-5057	204	3	1	DATE
ejpam-5057	204	4	2	CARDINAL
ejpam-5057	206	1	4(n−1)√	CARDINAL
ejpam-5057	206	2	0	CARDINAL
ejpam-5057	206	3	1	DATE
ejpam-5057	206	4	2	CARDINAL
ejpam-5057	207	1	three	CARDINAL
ejpam-5057	207	2	1	CARDINAL
ejpam-5057	207	3	√ n−	PERSON
ejpam-5057	207	4	1 ≤ √ 3n2	QUANTITY
ejpam-5057	207	5	16 4 ≤ n 2	QUANTITY
ejpam-5057	208	1	2(n− 1	ORG
ejpam-5057	208	2	3n2 +	DATE
ejpam-5057	208	3	16 ≤ √	QUANTITY
ejpam-5057	208	4	1	CARDINAL
ejpam-5057	209	1	0	CARDINAL
ejpam-5057	209	2	1	DATE
ejpam-5057	209	3	2	CARDINAL
ejpam-5057	210	1	three	CARDINAL
ejpam-5057	210	2	1	CARDINAL
ejpam-5057	210	3	√ n−	PERSON
ejpam-5057	210	4	1 ≤ √ 3n2	QUANTITY
ejpam-5057	212	1	1 2	DATE
ejpam-5057	214	1	j. pure	PERSON
ejpam-5057	214	2	17	CARDINAL
ejpam-5057	214	3	2	CARDINAL
ejpam-5057	214	4	2024	CARDINAL
ejpam-5057	214	5	772	CARDINAL
ejpam-5057	214	6	2(n− 1)√	PRODUCT
ejpam-5057	215	1	3n2 + 6n−	DATE
ejpam-5057	215	2	1	CARDINAL
ejpam-5057	216	1	0	CARDINAL
ejpam-5057	216	2	1	DATE
ejpam-5057	216	3	2	CARDINAL
ejpam-5057	217	1	three	CARDINAL
ejpam-5057	217	2	1	CARDINAL
ejpam-5057	217	3	√ n−	PERSON
ejpam-5057	217	4	1 ≤ √ 3n2	QUANTITY
ejpam-5057	218	1	4 ≤ √ n2	QUANTITY
ejpam-5057	218	2	1 2	DATE
ejpam-5057	219	1	2(n− 1)√	PRODUCT
ejpam-5057	219	2	3n2 +	DATE
ejpam-5057	219	3	25 ≤ √ n−	QUANTITY
ejpam-5057	219	4	1	CARDINAL
ejpam-5057	219	5	three	CARDINAL
ejpam-5057	221	1	2	CARDINAL
ejpam-5057	223	1	3	CARDINAL
ejpam-5057	224	1	bipartite	ORG
ejpam-5057	224	2	λn−1 ≥	GPE
ejpam-5057	227	1	1	CARDINAL
ejpam-5057	228	1	λn−1 ≥ −m √ n1n2	ORG
ejpam-5057	229	1	3	CARDINAL
ejpam-5057	230	1	1	CARDINAL
ejpam-5057	231	1	3	CARDINAL
ejpam-5057	232	1	3n2	CARDINAL
ejpam-5057	233	1	3n2	CARDINAL
ejpam-5057	233	2	0	CARDINAL
ejpam-5057	233	3	1	DATE
ejpam-5057	233	4	2	CARDINAL
ejpam-5057	236	1	3n2	CARDINAL
ejpam-5057	237	1	0	CARDINAL
ejpam-5057	237	2	1	DATE
ejpam-5057	237	3	2	CARDINAL
ejpam-5057	238	1	2	CARDINAL
ejpam-5057	239	1	3	CARDINAL
ejpam-5057	239	2	1)√	CARDINAL
ejpam-5057	239	3	1	CARDINAL
ejpam-5057	239	4	1	CARDINAL
ejpam-5057	241	1	j. pure	PERSON
ejpam-5057	241	2	17	CARDINAL
ejpam-5057	241	3	2	CARDINAL
ejpam-5057	241	4	2024	CARDINAL
ejpam-5057	241	5	772-789 781	QUANTITY
ejpam-5057	241	6	3	CARDINAL
ejpam-5057	242	1	3	CARDINAL
ejpam-5057	244	1	three	CARDINAL
ejpam-5057	244	2	1	CARDINAL
ejpam-5057	244	3	√ n−	PERSON
ejpam-5057	244	4	1 ≤ √ 3n2	QUANTITY
ejpam-5057	244	5	16 4 ≤ n 2	QUANTITY
ejpam-5057	245	1	1	CARDINAL
ejpam-5057	246	1	1))√	CARDINAL
ejpam-5057	247	1	16	CARDINAL
ejpam-5057	247	2	− √ n−	ORG
ejpam-5057	247	3	1	CARDINAL
ejpam-5057	248	1	0	CARDINAL
ejpam-5057	248	2	1	DATE
ejpam-5057	248	3	2	CARDINAL
ejpam-5057	249	1	three	CARDINAL
ejpam-5057	249	2	1	CARDINAL
ejpam-5057	249	3	√ n−	PERSON
ejpam-5057	249	4	1 ≤ √ 3n2	QUANTITY
ejpam-5057	251	1	1 2	DATE
ejpam-5057	252	1	2(n− 1)√	PRODUCT
ejpam-5057	252	2	3n2 + 6n−	DATE
ejpam-5057	252	3	1	CARDINAL
ejpam-5057	252	4	0	CARDINAL
ejpam-5057	252	5	1	DATE
ejpam-5057	252	6	2	CARDINAL
ejpam-5057	255	1	three	CARDINAL
ejpam-5057	255	2	1	CARDINAL
ejpam-5057	255	3	√ n−	PERSON
ejpam-5057	255	4	1 ≤ √ 3n2	QUANTITY
ejpam-5057	256	1	4 ≤ √ n2	QUANTITY
ejpam-5057	256	2	1 2	DATE
ejpam-5057	257	1	2(n− 1)√	PRODUCT
ejpam-5057	257	2	3n2 +	DATE
ejpam-5057	257	3	25 ≤ √ n−	QUANTITY
ejpam-5057	257	4	1	CARDINAL
ejpam-5057	257	5	three	CARDINAL
ejpam-5057	259	1	3	CARDINAL
ejpam-5057	259	2	λn−1 ≥	GPE
ejpam-5057	262	1	j. pure	PERSON
ejpam-5057	262	2	17	CARDINAL
ejpam-5057	262	3	2	CARDINAL
ejpam-5057	262	4	2024	CARDINAL
ejpam-5057	262	5	772	CARDINAL
ejpam-5057	262	6	second	ORDINAL
ejpam-5057	262	7	second	ORDINAL
ejpam-5057	262	8	bipartite	NORP
ejpam-5057	262	9	graph g. theorem 4	PERSON
ejpam-5057	262	10	bipartite	ORG
ejpam-5057	263	1	bipartite	NORP
ejpam-5057	263	2	lq	PRODUCT
ejpam-5057	265	1	1	CARDINAL
ejpam-5057	268	1	bipartite	NORP
ejpam-5057	269	1	lq	ORG
ejpam-5057	269	2	0	CARDINAL
ejpam-5057	270	1	0	CARDINAL
ejpam-5057	272	1	s̃	PERSON
ejpam-5057	272	2	0n1×1	CARDINAL
ejpam-5057	272	3	2	MONEY
ejpam-5057	274	1	0 0 n2	QUANTITY
ejpam-5057	276	1	1	CARDINAL
ejpam-5057	276	2	2	DATE
ejpam-5057	278	1	1	CARDINAL
ejpam-5057	278	2	2	DATE
ejpam-5057	281	1	1	CARDINAL
ejpam-5057	281	2	lq = stls	PERSON
ejpam-5057	282	1	4	CARDINAL
ejpam-5057	282	2	4	CARDINAL
ejpam-5057	285	1	vi ∈	PERSON
ejpam-5057	285	2	vi ∈	PERSON
ejpam-5057	286	1	j. pure	PERSON
ejpam-5057	286	2	17	CARDINAL
ejpam-5057	286	3	2	CARDINAL
ejpam-5057	286	4	2024	CARDINAL
ejpam-5057	286	5	772-789 783	QUANTITY
ejpam-5057	289	1	0	DATE
ejpam-5057	291	1	2	CARDINAL
ejpam-5057	291	2	3	DATE
ejpam-5057	292	1	n.	PERSON
ejpam-5057	299	1	3	CARDINAL
ejpam-5057	300	1	bipartite	ORG
ejpam-5057	303	1	4	CARDINAL
ejpam-5057	304	1	bipartite	NORP
ejpam-5057	304	2	bipartite	ORG
ejpam-5057	304	3	bipartite	ORG
ejpam-5057	305	1	bipartite	ORG
ejpam-5057	306	1	9	CARDINAL
ejpam-5057	307	1	bipartite	NORP
ejpam-5057	307	2	bipartite	NORP
ejpam-5057	307	3	4	CARDINAL
ejpam-5057	307	4	4	CARDINAL
ejpam-5057	311	1	yn1a	PERSON
ejpam-5057	312	1	yn2b	PERSON
ejpam-5057	314	1	= da	PERSON
ejpam-5057	315	1	∈	ORG
ejpam-5057	315	2	1	CARDINAL
ejpam-5057	317	1	1	CARDINAL
ejpam-5057	317	2	′| = 8	PERSON
ejpam-5057	317	3	4	CARDINAL
ejpam-5057	317	4	8 m.machasri	DATE
ejpam-5057	318	1	j. pure	PERSON
ejpam-5057	318	2	17	CARDINAL
ejpam-5057	318	3	2	CARDINAL
ejpam-5057	318	4	2024	CARDINAL
ejpam-5057	318	5	772	CARDINAL
ejpam-5057	318	6	789 784	CARDINAL
ejpam-5057	318	7	1	CARDINAL
ejpam-5057	318	8	5.1	CARDINAL
ejpam-5057	319	1	bipartite	NORP
ejpam-5057	319	2	bipartite	NORP
ejpam-5057	320	1	1	CARDINAL
ejpam-5057	320	2	2	CARDINAL
ejpam-5057	320	3	5	CARDINAL
ejpam-5057	321	1	2	CARDINAL
ejpam-5057	321	2	2	CARDINAL
ejpam-5057	321	3	2k	CARDINAL
ejpam-5057	322	1	1√ 2	DATE
ejpam-5057	322	2	≥ k.	PERSON
ejpam-5057	325	1	g′	PERSON
ejpam-5057	325	2	bipartite	ORG
ejpam-5057	325	3	1	CARDINAL
ejpam-5057	325	4	2 ≤ 2k	QUANTITY
ejpam-5057	325	5	1√ 2	DATE
ejpam-5057	326	1	5	CARDINAL
ejpam-5057	326	2	1	CARDINAL
ejpam-5057	326	3	2n2	CARDINAL
ejpam-5057	326	4	2	CARDINAL
ejpam-5057	327	1	2	CARDINAL
ejpam-5057	328	1	2	CARDINAL
ejpam-5057	328	2	2	CARDINAL
ejpam-5057	328	3	2	CARDINAL
ejpam-5057	329	1	1	CARDINAL
ejpam-5057	330	1	6	CARDINAL
ejpam-5057	330	2	2	CARDINAL
ejpam-5057	330	3	1	CARDINAL
ejpam-5057	331	1	6	CARDINAL
ejpam-5057	331	2	2 ≤	MONEY
ejpam-5057	331	3	2	CARDINAL
ejpam-5057	331	4	2	CARDINAL
ejpam-5057	331	5	2 ≤ 2k	QUANTITY
ejpam-5057	331	6	2	CARDINAL
ejpam-5057	332	1	bipartite	NORP
ejpam-5057	332	2	k5,5	PERSON
ejpam-5057	333	1	k5,5	PERSON
ejpam-5057	333	2	2	CARDINAL
ejpam-5057	333	3	second	ORDINAL
ejpam-5057	333	4	2	CARDINAL
ejpam-5057	333	5	2.34	CARDINAL
ejpam-5057	334	1	1	CARDINAL
ejpam-5057	334	2	2	CARDINAL
ejpam-5057	334	3	2k−1√	CARDINAL
ejpam-5057	334	4	2.121	CARDINAL
ejpam-5057	335	1	j. pure	PERSON
ejpam-5057	335	2	17	CARDINAL
ejpam-5057	335	3	2	CARDINAL
ejpam-5057	335	4	2024	CARDINAL
ejpam-5057	335	5	772-789 785	QUANTITY
ejpam-5057	335	6	2	CARDINAL
ejpam-5057	335	7	k5,5	GPE
ejpam-5057	335	8	6	DATE
ejpam-5057	336	1	2	CARDINAL
ejpam-5057	336	2	≥ k. proof	PERSON
ejpam-5057	338	1	g′	PERSON
ejpam-5057	338	2	bipartite	ORG
ejpam-5057	338	3	1	CARDINAL
ejpam-5057	338	4	2	CARDINAL
ejpam-5057	339	1	1	CARDINAL
ejpam-5057	339	2	2n2	CARDINAL
ejpam-5057	339	3	2	CARDINAL
ejpam-5057	341	1	2	CARDINAL
ejpam-5057	341	2	2	CARDINAL
ejpam-5057	341	3	2	CARDINAL
ejpam-5057	341	4	≥ k.	PERSON
ejpam-5057	341	5	1	CARDINAL
ejpam-5057	343	1	1d	CARDINAL
ejpam-5057	343	2	2d	DATE
ejpam-5057	344	1	1	CARDINAL
ejpam-5057	344	2	1	CARDINAL
ejpam-5057	344	3	2 ≤	QUANTITY
ejpam-5057	344	4	2n1n2	CARDINAL
ejpam-5057	344	5	2n1n2	CARDINAL
ejpam-5057	344	6	2 ≤	QUANTITY
ejpam-5057	344	7	1)√ 2n1n2	CARDINAL
ejpam-5057	346	1	j. pure	PERSON
ejpam-5057	346	2	17	CARDINAL
ejpam-5057	346	3	2	CARDINAL
ejpam-5057	346	4	2024	CARDINAL
ejpam-5057	346	5	772	CARDINAL
ejpam-5057	347	1	bipartite	ORG
ejpam-5057	347	2	bipartite	NORP
ejpam-5057	347	3	bipartite	ORG
ejpam-5057	348	1	7	CARDINAL
ejpam-5057	349	1	bipartite	NORP
ejpam-5057	349	2	graph km	PERSON
ejpam-5057	349	3	bipartite	NORP
ejpam-5057	352	1	g′	PERSON
ejpam-5057	353	1	bipartite	NORP
ejpam-5057	353	2	2n	CARDINAL
ejpam-5057	354	1	⊆	CARDINAL
ejpam-5057	354	2	2	CARDINAL
ejpam-5057	356	1	1	CARDINAL
ejpam-5057	356	2	2	CARDINAL
ejpam-5057	356	3	2	CARDINAL
ejpam-5057	356	4	1 + 2 n	QUANTITY
ejpam-5057	357	1	2	CARDINAL
ejpam-5057	357	2	2n	CARDINAL
ejpam-5057	358	1	2	CARDINAL
ejpam-5057	358	2	1	CARDINAL
ejpam-5057	358	3	3	CARDINAL
ejpam-5057	358	4	2n	CARDINAL
ejpam-5057	359	1	2	CARDINAL
ejpam-5057	359	2	2	CARDINAL
ejpam-5057	359	3	3	DATE
ejpam-5057	360	1	1+	CARDINAL
ejpam-5057	360	2	2	CARDINAL
ejpam-5057	360	3	3	DATE
ejpam-5057	363	1	4	CARDINAL
ejpam-5057	363	2	bipartite	NORP
ejpam-5057	365	1	4	CARDINAL
ejpam-5057	366	1	bipartite	ORG
ejpam-5057	366	2	2	DATE
ejpam-5057	366	3	1−	ORDINAL
ejpam-5057	368	1	g′	PERSON
ejpam-5057	368	2	1 + ϵ	DATE
ejpam-5057	369	1	lemma 2	ORG
ejpam-5057	369	2	g′	PERSON
ejpam-5057	369	3	1	CARDINAL
ejpam-5057	369	4	d′	PERSON
ejpam-5057	369	5	6	CARDINAL
ejpam-5057	370	1	2	CARDINAL
ejpam-5057	371	1	bipartite	NORP
ejpam-5057	372	1	bipartite	NORP
ejpam-5057	373	1	j. pure	PERSON
ejpam-5057	373	2	17	CARDINAL
ejpam-5057	373	3	2	CARDINAL
ejpam-5057	373	4	2024	CARDINAL
ejpam-5057	373	5	772-789 787	MONEY
ejpam-5057	373	6	4	CARDINAL
ejpam-5057	374	1	∪y	ORG
ejpam-5057	376	1	2 ⌋.	PERCENT
ejpam-5057	376	2	bipartite	NORP
ejpam-5057	378	1	g′	PERSON
ejpam-5057	379	1	2n2	CARDINAL
ejpam-5057	382	1	|x′| 2	FAC
ejpam-5057	382	2	2	CARDINAL
ejpam-5057	383	1	2 + 1	DATE
ejpam-5057	386	1	8	CARDINAL
ejpam-5057	387	1	x∪y	ORG
ejpam-5057	387	2	2	CARDINAL
ejpam-5057	389	1	bipartite	ORG
ejpam-5057	389	2	lemma 4.	ORG
ejpam-5057	390	1	2	CARDINAL
ejpam-5057	390	2	2	CARDINAL
ejpam-5057	392	1	2	CARDINAL
ejpam-5057	393	1	2	CARDINAL
ejpam-5057	393	2	4	CARDINAL
ejpam-5057	395	1	2n1	CARDINAL
ejpam-5057	395	2	1 2	CARDINAL
ejpam-5057	396	1	5	CARDINAL
ejpam-5057	397	1	γ	GPE
ejpam-5057	398	1	2d21	DATE
ejpam-5057	400	1	4	CARDINAL
ejpam-5057	400	2	γ	GPE
ejpam-5057	400	3	1	CARDINAL
ejpam-5057	400	4	+2 4	DATE
ejpam-5057	400	5	2n1	CARDINAL
ejpam-5057	401	1	3	CARDINAL
ejpam-5057	402	1	7	CARDINAL
ejpam-5057	402	2	first	ORDINAL
ejpam-5057	402	3	bipartite	NORP
ejpam-5057	402	4	bipartite	ORG
ejpam-5057	402	5	two	CARDINAL
ejpam-5057	402	6	bipartite	NORP
ejpam-5057	402	7	two	CARDINAL
ejpam-5057	402	8	bipartite	ORG
ejpam-5057	403	1	second	ORDINAL
ejpam-5057	403	2	second	ORDINAL
ejpam-5057	403	3	bipartite	ORG
ejpam-5057	404	1	three	CARDINAL
ejpam-5057	404	2	two	CARDINAL
ejpam-5057	405	1	second	ORDINAL
ejpam-5057	406	1	second	ORDINAL
ejpam-5057	406	2	bipartite	ORG
ejpam-5057	406	3	second	ORDINAL
ejpam-5057	407	1	bipartite	NORP
ejpam-5057	407	2	graph km	PERSON
ejpam-5057	407	3	biregular bipartite	NORP
ejpam-5057	407	4	bipartite	ORG
ejpam-5057	407	5	2	CARDINAL
ejpam-5057	408	1	788	CARDINAL
ejpam-5057	409	1	1	CARDINAL
ejpam-5057	411	1	combinatorica	PERSON
ejpam-5057	411	2	6(2):83–96, 1986	DATE
ejpam-5057	412	1	2	CARDINAL
ejpam-5057	412	2	chang	PERSON
ejpam-5057	412	3	second	ORDINAL
ejpam-5057	413	1	linear	ORG
ejpam-5057	413	2	283(1	CARDINAL
ejpam-5057	413	3	1998	DATE
ejpam-5057	414	1	3	CARDINAL
ejpam-5057	414	2	willem	PERSON
ejpam-5057	416	1	springer science & business media	ORG
ejpam-5057	416	2	2011	DATE
ejpam-5057	417	1	4	CARDINAL
ejpam-5057	417	2	michael capalbo	PERSON
ejpam-5057	417	3	omer reingold	PERSON
ejpam-5057	417	4	salil vadhan	PERSON
ejpam-5057	417	5	avi wigderson	ORG
ejpam-5057	419	1	659–668, 2002	DATE
ejpam-5057	420	1	5	CARDINAL
ejpam-5057	420	2	venkatesan guruswami	PERSON
ejpam-5057	422	1	2010	DATE
ejpam-5057	423	1	6	CARDINAL
ejpam-5057	424	1	121	CARDINAL
ejpam-5057	425	1	centrum	PERSON
ejpam-5057	425	2	amsterdam	GPE
ejpam-5057	425	3	1980	DATE
ejpam-5057	426	1	7	CARDINAL
ejpam-5057	428	1	226:593–616, 1995	DATE
ejpam-5057	429	1	8	CARDINAL
ejpam-5057	429	2	nathan linial	PERSON
ejpam-5057	429	3	avi wigderson	ORG
ejpam-5057	431	1	american	NORP
ejpam-5057	431	2	43(4):439–561, 2006	DATE
ejpam-5057	432	1	9	CARDINAL
ejpam-5057	432	2	chih-wen weng	PERSON
ejpam-5057	433	1	bipartite	ORG
ejpam-5057	434	1	linear	ORG
ejpam-5057	434	2	474:30–43	DATE
ejpam-5057	434	3	2015	DATE
ejpam-5057	435	1	10	CARDINAL
ejpam-5057	435	2	huiqing liu	PERSON
ejpam-5057	435	3	mei lu	PERSON
ejpam-5057	435	4	feng tian	PERSON
ejpam-5057	437	1	439(12):3777–3784	CARDINAL
ejpam-5057	437	2	2013	DATE
ejpam-5057	438	1	11	CARDINAL
ejpam-5057	438	2	ranjit mehatari	PERSON
ejpam-5057	438	3	rajesh kannan	PERSON
ejpam-5057	440	1	czechoslovak mathematical journal	ORG
ejpam-5057	440	2	71:231–251	CARDINAL
ejpam-5057	440	3	2021	DATE
ejpam-5057	441	1	12	CARDINAL
ejpam-5057	441	2	david l	PERSON
ejpam-5057	443	1	linear	ORG
ejpam-5057	443	2	101:121–133, 1988	DATE
ejpam-5057	444	1	13	CARDINAL
ejpam-5057	444	2	michael sipser	PERSON
ejpam-5057	446	1	42(6):1710–1722, 1996	DATE
ejpam-5057	447	1	14	CARDINAL
ejpam-5057	447	2	patrick solé.	PERSON
ejpam-5057	447	3	second	ORDINAL
ejpam-5057	448	1	56(2):239–249, 1992	DATE
ejpam-5057	449	1	789	CARDINAL
ejpam-5057	449	2	15	CARDINAL
ejpam-5057	451	1	twenty-seventh	DATE
ejpam-5057	451	2	annual	DATE
ejpam-5057	451	3	388–397, 1995	DATE
ejpam-5057	452	1	16	CARDINAL
ejpam-5057	454	1	27(5):533–547	ORG
ejpam-5057	454	2	1981	DATE
ejpam-5057	455	1	17	CARDINAL
ejpam-5057	457	1	47(2):835–837, 2001	DATE
ejpam-5057	458	1	18	CARDINAL
ejpam-5057	458	2	mingqing zhai	PERSON
ejpam-5057	458	3	huiqiu lin	PERSON
ejpam-5057	458	4	bingwang	GPE
ejpam-5057	459	1	second	ORDINAL
ejpam-5057	460	1	437(1):236–241	CARDINAL
ejpam-5057	460	2	2012	DATE