id	sid	eid	entity	type
ejpam-6059	1	1	european journal	ORG
ejpam-6059	1	2	2025	DATE
ejpam-6059	1	3	18	CARDINAL
ejpam-6059	1	4	2	CARDINAL
ejpam-6059	1	5	6059	CARDINAL
ejpam-6059	1	6	1307-5543	DATE
ejpam-6059	1	7	new york	GPE
ejpam-6059	1	8	pongpipat1	ORG
ejpam-6059	1	9	1	CARDINAL
ejpam-6059	1	10	kaen university	ORG
ejpam-6059	1	11	khon kaen	PERSON
ejpam-6059	1	12	40002	DATE
ejpam-6059	1	13	thailand	GPE
ejpam-6059	2	1	zn	ORG
ejpam-6059	2	2	two	CARDINAL
ejpam-6059	2	3	x−y	PERSON
ejpam-6059	2	4	zn	ORG
ejpam-6059	3	1	1	CARDINAL
ejpam-6059	4	1	nonempty	ORG
ejpam-6059	6	1	k vertices	ORG
ejpam-6059	7	1	zn	ORG
ejpam-6059	8	1	2020	DATE
ejpam-6059	8	2	05c25	CARDINAL
ejpam-6059	8	3	05c69	CARDINAL
ejpam-6059	8	4	05c99	CARDINAL
ejpam-6059	8	5	1	CARDINAL
ejpam-6059	9	1	algebraic	PERSON
ejpam-6059	11	1	algebraic system	PERSON
ejpam-6059	11	2	algebras	ORG
ejpam-6059	12	1	algebraic	PERSON
ejpam-6059	13	1	integers modulo n	PERSON
ejpam-6059	13	2	two	CARDINAL
ejpam-6059	15	1	0	CARDINAL
ejpam-6059	15	2	1	CARDINAL
ejpam-6059	15	3	2	CARDINAL
ejpam-6059	18	1	n − 1	ORG
ejpam-6059	20	1	gcd(a	GPE
ejpam-6059	21	1	1	CARDINAL
ejpam-6059	21	2	y ∈	PERSON
ejpam-6059	21	3	1	CARDINAL
ejpam-6059	23	1	greater than 2	CARDINAL
ejpam-6059	25	1	denpong	PERSON
ejpam-6059	25	2	d.	NORP
ejpam-6059	25	3	1	CARDINAL
ejpam-6059	26	1	2025	CARDINAL
ejpam-6059	27	1	n. nupo	PERSON
ejpam-6059	28	1	j. pure	PERSON
ejpam-6059	28	2	18	CARDINAL
ejpam-6059	28	3	2	CARDINAL
ejpam-6059	28	4	2025	CARDINAL
ejpam-6059	28	5	6059 2	DATE
ejpam-6059	28	6	11	CARDINAL
ejpam-6059	30	1	1995	DATE
ejpam-6059	30	2	dejter	PERSON
ejpam-6059	30	3	1	CARDINAL
ejpam-6059	30	4	bipartite	ORG
ejpam-6059	31	1	2007	DATE
ejpam-6059	31	2	klotz	ORG
ejpam-6059	31	3	2	CARDINAL
ejpam-6059	32	1	2012	DATE
ejpam-6059	32	2	kiani	PERSON
ejpam-6059	32	3	3	CARDINAL
ejpam-6059	32	4	jacobson	PERSON
ejpam-6059	33	1	2014	DATE
ejpam-6059	34	1	4	CARDINAL
ejpam-6059	35	1	one	CARDINAL
ejpam-6059	36	1	2009	DATE
ejpam-6059	36	2	5	CARDINAL
ejpam-6059	37	1	2017	DATE
ejpam-6059	38	1	6	CARDINAL
ejpam-6059	43	1	3	CARDINAL
ejpam-6059	43	2	4	DATE
ejpam-6059	44	1	k vertices	ORG
ejpam-6059	46	1	2	CARDINAL
ejpam-6059	46	2	∈	ORG
ejpam-6059	50	1	k vertices of g	ORG
ejpam-6059	51	1	vi	PERSON
ejpam-6059	51	2	1	CARDINAL
ejpam-6059	51	3	2	DATE
ejpam-6059	55	1	1	CARDINAL
ejpam-6059	57	1	3	CARDINAL
ejpam-6059	58	1	∈	ORG
ejpam-6059	60	1	two	CARDINAL
ejpam-6059	62	1	⊆	CARDINAL
ejpam-6059	63	1	d.	NORP
ejpam-6059	63	2	n. nupo	PERSON
ejpam-6059	64	1	j. pure	PERSON
ejpam-6059	64	2	18	CARDINAL
ejpam-6059	64	3	2	CARDINAL
ejpam-6059	64	4	2025	CARDINAL
ejpam-6059	64	5	6059 3	DATE
ejpam-6059	64	6	one	CARDINAL
ejpam-6059	66	1	w	ORG
ejpam-6059	66	2	∈ w	ORG
ejpam-6059	70	1	1	CARDINAL
ejpam-6059	71	1	8	CARDINAL
ejpam-6059	72	1	nonempty	ORG
ejpam-6059	73	1	g/h	ORG
ejpam-6059	73	2	g ∈	PERSON
ejpam-6059	74	1	2	CARDINAL
ejpam-6059	75	1	2	CARDINAL
ejpam-6059	75	2	2	CARDINAL
ejpam-6059	76	1	zn	ORG
ejpam-6059	76	2	un	ORG
ejpam-6059	76	3	multiplicative	ORG
ejpam-6059	76	4	un	ORG
ejpam-6059	77	1	1	CARDINAL
ejpam-6059	78	1	3	CARDINAL
ejpam-6059	79	1	9	CARDINAL
ejpam-6059	79	2	euler	PERSON
ejpam-6059	79	3	euler	PERSON
ejpam-6059	79	4	euler	PERSON
ejpam-6059	81	1	1 ≤ k ≤ n	QUANTITY
ejpam-6059	81	2	1	CARDINAL
ejpam-6059	81	3	1	CARDINAL
ejpam-6059	82	1	10	CARDINAL
ejpam-6059	82	2	n ≥ 8	DATE
ejpam-6059	83	1	φ(n	GPE
ejpam-6059	83	2	4	CARDINAL
ejpam-6059	83	3	1	CARDINAL
ejpam-6059	84	1	2	CARDINAL
ejpam-6059	85	1	2	CARDINAL
ejpam-6059	85	2	∈	ORG
ejpam-6059	86	1	2	CARDINAL
ejpam-6059	87	1	2	CARDINAL
ejpam-6059	87	2	k ∈ n	PERSON
ejpam-6059	87	3	1	CARDINAL
ejpam-6059	88	1	pk−1	ORG
ejpam-6059	88	2	1	CARDINAL
ejpam-6059	89	1	1	CARDINAL
ejpam-6059	91	1	4	CARDINAL
ejpam-6059	92	1	zn	ORG
ejpam-6059	94	1	3	CARDINAL
ejpam-6059	95	1	11	CARDINAL
ejpam-6059	95	2	k ∈ n	PERSON
ejpam-6059	95	3	1	CARDINAL
ejpam-6059	96	1	pk−1	ORG
ejpam-6059	97	1	1	CARDINAL
ejpam-6059	98	1	at least 2	CARDINAL
ejpam-6059	99	1	5	CARDINAL
ejpam-6059	100	1	7	CARDINAL
ejpam-6059	101	1	d.	NORP
ejpam-6059	101	2	n. nupo	PERSON
ejpam-6059	102	1	j. pure	PERSON
ejpam-6059	102	2	18	CARDINAL
ejpam-6059	102	3	2	CARDINAL
ejpam-6059	102	4	2025	CARDINAL
ejpam-6059	102	5	6059 4 of 11 3	DATE
ejpam-6059	103	1	6	CARDINAL
ejpam-6059	104	1	λ(g	PRODUCT
ejpam-6059	104	2	k vertices	ORG
ejpam-6059	104	3	k vertices	ORG
ejpam-6059	105	1	1	CARDINAL
ejpam-6059	105	2	1	CARDINAL
ejpam-6059	106	1	3	CARDINAL
ejpam-6059	107	1	λ(g	WORK_OF_ART
ejpam-6059	108	1	2	CARDINAL
ejpam-6059	108	2	2	CARDINAL
ejpam-6059	109	1	n ≥ 8	DATE
ejpam-6059	110	1	4	CARDINAL
ejpam-6059	112	1	k ∈ n	PERSON
ejpam-6059	112	2	1 ≤ k ≤ n	QUANTITY
ejpam-6059	113	1	1	CARDINAL
ejpam-6059	115	1	1	CARDINAL
ejpam-6059	116	1	1 ≤	QUANTITY
ejpam-6059	117	1	j ≤ φ(n	PERSON
ejpam-6059	118	1	1	CARDINAL
ejpam-6059	120	1	firstly	ORDINAL
ejpam-6059	120	2	1	CARDINAL
ejpam-6059	120	3	1	CARDINAL
ejpam-6059	122	1	0	CARDINAL
ejpam-6059	123	1	1	CARDINAL
ejpam-6059	125	1	1	CARDINAL
ejpam-6059	125	2	a1 + 1	PRODUCT
ejpam-6059	125	3	gcd((a1	PERSON
ejpam-6059	126	1	+ 1	DATE
ejpam-6059	126	2	− a1	PERSON
ejpam-6059	128	1	1	CARDINAL
ejpam-6059	129	1	a1 + 1	PRODUCT
ejpam-6059	130	1	+ 1	DATE
ejpam-6059	131	1	1	CARDINAL
ejpam-6059	131	2	+ 1 and 1	DATE
ejpam-6059	132	1	0	CARDINAL
ejpam-6059	132	2	1	DATE
ejpam-6059	132	3	a1 + 1	PRODUCT
ejpam-6059	132	4	4	CARDINAL
ejpam-6059	133	1	4	CARDINAL
ejpam-6059	133	2	6	DATE
ejpam-6059	133	3	6	CARDINAL
ejpam-6059	133	4	5	CARDINAL
ejpam-6059	133	5	d. pongpipat	PERSON
ejpam-6059	133	6	n. nupo	PERSON
ejpam-6059	134	1	j. pure	PERSON
ejpam-6059	134	2	18	CARDINAL
ejpam-6059	134	3	2	CARDINAL
ejpam-6059	134	4	2025	CARDINAL
ejpam-6059	134	5	6059 5	DATE
ejpam-6059	134	6	11	CARDINAL
ejpam-6059	134	7	2	CARDINAL
ejpam-6059	136	1	2	CARDINAL
ejpam-6059	136	2	4	CARDINAL
ejpam-6059	136	3	6	CARDINAL
ejpam-6059	137	1	λ(γ4	PERSON
ejpam-6059	137	2	3	CARDINAL
ejpam-6059	138	1	5	CARDINAL
ejpam-6059	138	2	3	CARDINAL
ejpam-6059	140	1	n ≥ 3	DATE
ejpam-6059	141	1	3	CARDINAL
ejpam-6059	144	1	c3	PERSON
ejpam-6059	145	1	1	CARDINAL
ejpam-6059	145	2	− 1	PERSON
ejpam-6059	145	3	1	CARDINAL
ejpam-6059	145	4	1	CARDINAL
ejpam-6059	145	5	2	CARDINAL
ejpam-6059	147	1	1	CARDINAL
ejpam-6059	149	1	2	CARDINAL
ejpam-6059	150	1	2	CARDINAL
ejpam-6059	150	2	1	CARDINAL
ejpam-6059	150	3	2	DATE
ejpam-6059	150	4	2	CARDINAL
ejpam-6059	151	1	2	CARDINAL
ejpam-6059	151	2	1	CARDINAL
ejpam-6059	152	1	1	CARDINAL
ejpam-6059	152	2	− 0	PERSON
ejpam-6059	153	1	2	CARDINAL
ejpam-6059	154	1	0	CARDINAL
ejpam-6059	154	2	1	CARDINAL
ejpam-6059	154	3	2	CARDINAL
ejpam-6059	154	4	3	CARDINAL
ejpam-6059	156	1	4	CARDINAL
ejpam-6059	157	1	n ≥ 3	DATE
ejpam-6059	158	1	2	CARDINAL
ejpam-6059	159	1	3	CARDINAL
ejpam-6059	160	1	5	CARDINAL
ejpam-6059	161	1	n ≥ 8	DATE
ejpam-6059	162	1	3	CARDINAL
ejpam-6059	163	1	1	CARDINAL
ejpam-6059	164	1	3	CARDINAL
ejpam-6059	164	2	lemma 2	ORG
ejpam-6059	167	1	3	CARDINAL
ejpam-6059	170	1	d.	NORP
ejpam-6059	170	2	n. nupo	PERSON
ejpam-6059	171	1	j. pure	PERSON
ejpam-6059	171	2	18	CARDINAL
ejpam-6059	171	3	2	CARDINAL
ejpam-6059	171	4	2025	CARDINAL
ejpam-6059	171	5	6059 6	DATE
ejpam-6059	174	1	3	CARDINAL
ejpam-6059	176	1	3	CARDINAL
ejpam-6059	178	1	λ(γ4	PERSON
ejpam-6059	178	2	4	CARDINAL
ejpam-6059	179	1	2	CARDINAL
ejpam-6059	179	2	4	CARDINAL
ejpam-6059	180	1	n ≥ 8	DATE
ejpam-6059	181	1	3	CARDINAL
ejpam-6059	183	1	n ≥ 8	DATE
ejpam-6059	184	1	1	CARDINAL
ejpam-6059	186	1	2	CARDINAL
ejpam-6059	186	2	2k	CARDINAL
ejpam-6059	186	3	2k	CARDINAL
ejpam-6059	186	4	gcd(6 − 4,	ORG
ejpam-6059	187	1	2k	CARDINAL
ejpam-6059	187	2	gcd(6 − 2,	ORG
ejpam-6059	187	3	2k	DATE
ejpam-6059	187	4	2k	CARDINAL
ejpam-6059	187	5	4	CARDINAL
ejpam-6059	187	6	6	CARDINAL
ejpam-6059	187	7	6	CARDINAL
ejpam-6059	188	1	2	CARDINAL
ejpam-6059	188	2	4	DATE
ejpam-6059	188	3	6	CARDINAL
ejpam-6059	189	1	2	CARDINAL
ejpam-6059	190	1	1	CARDINAL
ejpam-6059	190	2	pm2 2 ·	PERSON
ejpam-6059	191	1	pmt t	PERSON
ejpam-6059	191	2	1	CARDINAL
ejpam-6059	191	3	2	DATE
ejpam-6059	193	1	gcd(p1−0	GPE
ejpam-6059	194	1	1	CARDINAL
ejpam-6059	194	2	pm2 2 ·	PERSON
ejpam-6059	195	1	pmt t	PERSON
ejpam-6059	196	1	1	CARDINAL
ejpam-6059	196	2	pm2 2 ·	PERSON
ejpam-6059	197	1	pmt t	PERSON
ejpam-6059	197	2	0	CARDINAL
ejpam-6059	197	3	1	CARDINAL
ejpam-6059	197	4	pm2 2 ·	PERSON
ejpam-6059	198	1	pmt t	PERSON
ejpam-6059	198	2	2p1	PRODUCT
ejpam-6059	198	3	2p1	PRODUCT
ejpam-6059	199	1	0	DATE
ejpam-6059	199	2	2p1	CARDINAL
ejpam-6059	200	1	6	CARDINAL
ejpam-6059	201	1	n ≥ 8	DATE
ejpam-6059	202	1	2	CARDINAL
ejpam-6059	204	1	two	CARDINAL
ejpam-6059	205	1	1	CARDINAL
ejpam-6059	206	1	lemma 4	ORG
ejpam-6059	206	2	2	CARDINAL
ejpam-6059	206	3	2	CARDINAL
ejpam-6059	209	1	d.	NORP
ejpam-6059	209	2	n. nupo	PERSON
ejpam-6059	210	1	j. pure	PERSON
ejpam-6059	210	2	18	CARDINAL
ejpam-6059	210	3	2	CARDINAL
ejpam-6059	210	4	2025	CARDINAL
ejpam-6059	210	5	6059 7	DATE
ejpam-6059	211	1	7	CARDINAL
ejpam-6059	212	1	nonempty	ORG
ejpam-6059	213	1	λ(g	PRODUCT
ejpam-6059	213	2	λ(g	WORK_OF_ART
ejpam-6059	216	1	4	CARDINAL
ejpam-6059	217	1	1	CARDINAL
ejpam-6059	218	1	λ(g	WORK_OF_ART
ejpam-6059	219	1	6	CARDINAL
ejpam-6059	221	1	two	CARDINAL
ejpam-6059	221	2	4	CARDINAL
ejpam-6059	221	3	6	DATE
ejpam-6059	222	1	5	CARDINAL
ejpam-6059	223	1	0	CARDINAL
ejpam-6059	223	2	1	DATE
ejpam-6059	223	3	2	CARDINAL
ejpam-6059	223	4	2	CARDINAL
ejpam-6059	223	5	0	CARDINAL
ejpam-6059	223	6	1	DATE
ejpam-6059	223	7	2	DATE
ejpam-6059	223	8	3	CARDINAL
ejpam-6059	223	9	3	CARDINAL
ejpam-6059	224	1	λ(γ4	PERSON
ejpam-6059	224	2	3 and λ(γ4	CARDINAL
ejpam-6059	224	3	4	CARDINAL
ejpam-6059	224	4	6	CARDINAL
ejpam-6059	225	1	0	CARDINAL
ejpam-6059	225	2	1	DATE
ejpam-6059	225	3	2	DATE
ejpam-6059	225	4	3	DATE
ejpam-6059	225	5	4	CARDINAL
ejpam-6059	225	6	2	CARDINAL
ejpam-6059	226	1	0	CARDINAL
ejpam-6059	226	2	1	DATE
ejpam-6059	226	3	2	DATE
ejpam-6059	226	4	3	CARDINAL
ejpam-6059	226	5	3	CARDINAL
ejpam-6059	227	1	5	CARDINAL
ejpam-6059	228	1	4	CARDINAL
ejpam-6059	229	1	3	CARDINAL
ejpam-6059	230	1	2	CARDINAL
ejpam-6059	233	1	3	CARDINAL
ejpam-6059	234	1	2	CARDINAL
ejpam-6059	235	1	8	CARDINAL
ejpam-6059	236	1	k ∈	ORG
ejpam-6059	238	1	+1	DATE
ejpam-6059	240	1	k ∈ n	PERSON
ejpam-6059	240	2	1	CARDINAL
ejpam-6059	241	1	2	CARDINAL
ejpam-6059	241	2	pk−1	ORG
ejpam-6059	244	1	∈	ORG
ejpam-6059	246	1	γn[p	GPE
ejpam-6059	248	1	+ 1	DATE
ejpam-6059	248	2	+ 1	DATE
ejpam-6059	251	1	two	CARDINAL
ejpam-6059	252	1	1	CARDINAL
ejpam-6059	253	1	k ≥ 2	ORG
ejpam-6059	254	1	xz	ORG
ejpam-6059	254	2	4	CARDINAL
ejpam-6059	254	3	4	CARDINAL
ejpam-6059	256	1	∈	PRODUCT
ejpam-6059	256	2	p3 ̸= p1	ORG
ejpam-6059	256	3	n. nupo	PERSON
ejpam-6059	257	1	j. pure	PERSON
ejpam-6059	257	2	18	CARDINAL
ejpam-6059	257	3	2	CARDINAL
ejpam-6059	257	4	2025	CARDINAL
ejpam-6059	257	5	6059 8	DATE
ejpam-6059	257	6	11	CARDINAL
ejpam-6059	257	7	4	CARDINAL
ejpam-6059	257	8	two	CARDINAL
ejpam-6059	257	9	4	CARDINAL
ejpam-6059	257	10	3	DATE
ejpam-6059	257	11	xy	ORG
ejpam-6059	257	12	3	CARDINAL
ejpam-6059	257	13	4	CARDINAL
ejpam-6059	258	1	2	CARDINAL
ejpam-6059	258	2	∈	PRODUCT
ejpam-6059	259	1	3	CARDINAL
ejpam-6059	259	2	4	CARDINAL
ejpam-6059	260	1	two	CARDINAL
ejpam-6059	261	1	+ 1	DATE
ejpam-6059	262	1	n ≥ 8	DATE
ejpam-6059	263	1	n p	ORG
ejpam-6059	264	1	2 + 1	DATE
ejpam-6059	266	1	n ≥ 8	DATE
ejpam-6059	267	1	0	CARDINAL
ejpam-6059	267	2	2p	CARDINAL
ejpam-6059	268	1	n−p	ORG
ejpam-6059	273	1	∈	ORG
ejpam-6059	274	1	γn[a	GPE
ejpam-6059	277	1	+ 1	DATE
ejpam-6059	278	1	2	CARDINAL
ejpam-6059	279	1	1	CARDINAL
ejpam-6059	279	2	∈	ORG
ejpam-6059	279	3	2	CARDINAL
ejpam-6059	280	1	n ≥ 8	DATE
ejpam-6059	280	2	1	CARDINAL
ejpam-6059	280	3	4	CARDINAL
ejpam-6059	280	4	2	CARDINAL
ejpam-6059	281	1	lemma 1	ORG
ejpam-6059	283	1	2	CARDINAL
ejpam-6059	285	1	1	CARDINAL
ejpam-6059	289	1	2	CARDINAL
ejpam-6059	292	1	d.	NORP
ejpam-6059	292	2	n. nupo	PERSON
ejpam-6059	293	1	j. pure	PERSON
ejpam-6059	293	2	18	CARDINAL
ejpam-6059	293	3	2	CARDINAL
ejpam-6059	293	4	2025	CARDINAL
ejpam-6059	293	5	6059 9	DATE
ejpam-6059	294	1	9	CARDINAL
ejpam-6059	295	1	7	CARDINAL
ejpam-6059	296	1	5	CARDINAL
ejpam-6059	298	1	23−1	CARDINAL
ejpam-6059	298	2	5	CARDINAL
ejpam-6059	298	3	8 2 + 1	DATE
ejpam-6059	298	4	9	CARDINAL
ejpam-6059	299	1	5	CARDINAL
ejpam-6059	300	1	9	CARDINAL
ejpam-6059	300	2	10	CARDINAL
ejpam-6059	301	1	k ∈ n	PERSON
ejpam-6059	301	2	1	CARDINAL
ejpam-6059	302	1	2p	CARDINAL
ejpam-6059	304	1	3	CARDINAL
ejpam-6059	304	2	pk−1	ORG
ejpam-6059	305	1	two	CARDINAL
ejpam-6059	307	1	more than two	CARDINAL
ejpam-6059	307	2	one	CARDINAL
ejpam-6059	308	1	2p	CARDINAL
ejpam-6059	310	1	combinatorics	ORG
ejpam-6059	310	2	at least one	CARDINAL
ejpam-6059	310	3	more than one	CARDINAL
ejpam-6059	311	1	11	CARDINAL
ejpam-6059	312	1	n ≥ 4	DATE
ejpam-6059	313	1	4	CARDINAL
ejpam-6059	314	1	n ≥ 4	DATE
ejpam-6059	314	2	0	CARDINAL
ejpam-6059	314	3	1	DATE
ejpam-6059	314	4	2	DATE
ejpam-6059	314	5	3	CARDINAL
ejpam-6059	316	1	4	CARDINAL
ejpam-6059	316	2	five	CARDINAL
ejpam-6059	317	1	at least three	CARDINAL
ejpam-6059	317	2	∈	ORG
ejpam-6059	318	1	two	CARDINAL
ejpam-6059	319	1	vl	ORG
ejpam-6059	319	2	∈	ORG
ejpam-6059	320	1	vl	ORG
ejpam-6059	320	2	∈	ORG
ejpam-6059	321	1	3	CARDINAL
ejpam-6059	323	1	5	CARDINAL
ejpam-6059	323	2	λ(γn	PERSON
ejpam-6059	323	3	4	CARDINAL
ejpam-6059	324	1	d.	NORP
ejpam-6059	324	2	n. nupo	PERSON
ejpam-6059	325	1	j. pure	PERSON
ejpam-6059	325	2	18	CARDINAL
ejpam-6059	325	3	2	CARDINAL
ejpam-6059	325	4	2025	CARDINAL
ejpam-6059	325	5	6059 10	DATE
ejpam-6059	325	6	11	CARDINAL
ejpam-6059	325	7	12	CARDINAL
ejpam-6059	326	1	n ≥ 5	DATE
ejpam-6059	327	1	3 ≤	QUANTITY
ejpam-6059	327	2	≤ 2p	CARDINAL
ejpam-6059	330	1	1	CARDINAL
ejpam-6059	330	2	pm2 2 ·	PERSON
ejpam-6059	331	1	pmt t	PERSON
ejpam-6059	331	2	1	CARDINAL
ejpam-6059	331	3	2	DATE
ejpam-6059	333	1	0	CARDINAL
ejpam-6059	333	2	1	DATE
ejpam-6059	333	3	2	CARDINAL
ejpam-6059	335	1	+ 1	DATE
ejpam-6059	341	1	∈	ORG
ejpam-6059	341	2	a and	QUANTITY
ejpam-6059	341	3	3 ≤ k ≤	QUANTITY
ejpam-6059	341	4	3	CARDINAL
ejpam-6059	341	5	2 ≤ j ≤ k.	QUANTITY
ejpam-6059	344	1	2	CARDINAL
ejpam-6059	344	2	3	DATE
ejpam-6059	345	1	k.	PERSON
ejpam-6059	347	1	two	CARDINAL
ejpam-6059	348	1	1	CARDINAL
ejpam-6059	348	2	2)|n	CARDINAL
ejpam-6059	349	1	2p	CARDINAL
ejpam-6059	349	2	2	CARDINAL
ejpam-6059	352	1	2	CARDINAL
ejpam-6059	352	2	2	CARDINAL
ejpam-6059	352	3	∈	ORG
ejpam-6059	356	1	+ 3	DATE
ejpam-6059	360	1	0 ≤	MONEY
ejpam-6059	361	1	1	CARDINAL
ejpam-6059	365	1	one	CARDINAL
ejpam-6059	365	2	at least three	CARDINAL
ejpam-6059	365	3	z.	PERSON
ejpam-6059	365	4	0 ≤	MONEY
ejpam-6059	366	1	1	CARDINAL
ejpam-6059	368	1	∈ z.	PERSON
ejpam-6059	370	1	y − z	PERSON
ejpam-6059	370	2	x−z	CARDINAL
ejpam-6059	373	1	1	CARDINAL
ejpam-6059	374	1	5	CARDINAL
ejpam-6059	376	1	d.	NORP
ejpam-6059	376	2	n. nupo	PERSON
ejpam-6059	377	1	j. pure	PERSON
ejpam-6059	377	2	18	CARDINAL
ejpam-6059	377	3	2	CARDINAL
ejpam-6059	377	4	2025	CARDINAL
ejpam-6059	377	5	6059 11	DATE
ejpam-6059	377	6	11	CARDINAL
ejpam-6059	382	1	first	ORDINAL
ejpam-6059	382	2	thailand	GPE
ejpam-6059	383	1	kaen university	ORG
ejpam-6059	385	1	1	CARDINAL
ejpam-6059	385	2	i. dejter	PERSON
ejpam-6059	385	3	r. e. giudici	PERSON
ejpam-6059	387	1	18:121–124, 1995	DATE
ejpam-6059	388	1	2	CARDINAL
ejpam-6059	388	2	w. klotz	PERSON
ejpam-6059	388	3	t. sander	PERSON
ejpam-6059	390	1	journal of combinatorics	ORG
ejpam-6059	390	2	14(1):r45, 2007	DATE
ejpam-6059	391	1	3	CARDINAL
ejpam-6059	391	2	d. kiani	PERSON
ejpam-6059	391	3	m. m. h. aghaei	PERSON
ejpam-6059	393	1	journal of combinatorics	ORG
ejpam-6059	393	2	19(2):p10, 2012	DATE
ejpam-6059	394	1	4	CARDINAL
ejpam-6059	394	2	a. naghipour	PERSON
ejpam-6059	396	1	17(2):965–977	DATE
ejpam-6059	396	2	2016	DATE
ejpam-6059	397	1	5	CARDINAL
ejpam-6059	399	1	acta mathematica	PERSON
ejpam-6059	399	2	25(1):1–7	CARDINAL
ejpam-6059	399	3	2009	DATE
ejpam-6059	400	1	6	CARDINAL
ejpam-6059	400	2	m. petrusevski	PERSON
ejpam-6059	400	3	r. škrekovski	PERSON
ejpam-6059	402	1	ars mathematica contemporanea	PERSON
ejpam-6059	402	2	13(2):317–322	DATE
ejpam-6059	402	3	2017	DATE
ejpam-6059	403	1	7	CARDINAL
ejpam-6059	403	2	d. b. west	PERSON
ejpam-6059	405	1	singapore	GPE
ejpam-6059	405	2	2 edition	QUANTITY
ejpam-6059	405	3	2002	DATE
ejpam-6059	406	1	8	CARDINAL
ejpam-6059	408	1	danex intercorporation co., ltd.	ORG
ejpam-6059	408	2	bangkok	GPE
ejpam-6059	408	3	thailand	GPE
ejpam-6059	408	4	2015	DATE
ejpam-6059	409	1	9	CARDINAL
ejpam-6059	409	2	h. e.	PERSON
ejpam-6059	411	1	oxford	NORP
ejpam-6059	412	1	oxford university press	ORG
ejpam-6059	412	2	oxford	NORP
ejpam-6059	412	3	england	GPE
ejpam-6059	412	4	1994	DATE
ejpam-6059	413	1	10	CARDINAL
ejpam-6059	415	1	chulalongkorn university press	ORG
ejpam-6059	415	2	bangkok	GPE
ejpam-6059	415	3	thailand	GPE
ejpam-6059	415	4	2012	DATE
ejpam-6059	416	1	11	CARDINAL
ejpam-6059	416	2	n. nupo	PERSON
ejpam-6059	418	1	combinatorics	ORG
ejpam-6059	418	2	11(2):111–122	CARDINAL
ejpam-6059	418	3	2022	CARDINAL