id	sid	eid	entity	type
iajs-2704	1	1	68	CARDINAL
iajs-2704	1	2	topological	ORG
iajs-2704	1	3	schultz	PERSON
iajs-2704	1	4	𝒁𝒓𝒏 alaa	FAC
iajs-2704	2	1	tikrit university	ORG
iajs-2704	2	2	tikrit	GPE
iajs-2704	2	3	iraq	GPE
iajs-2704	4	1	𝑍𝑟𝑛	PERSON
iajs-2704	6	1	two	CARDINAL
iajs-2704	6	2	|〈𝑐	PRODUCT
iajs-2704	6	3	1	CARDINAL
iajs-2704	6	4	∈	ORG
iajs-2704	7	1	schultz	PERSON
iajs-2704	7	2	2	CARDINAL
iajs-2704	7	3	1	CARDINAL
iajs-2704	8	1	schultz polynomial.	ORG
iajs-2704	9	1	first	ORDINAL
iajs-2704	9	2	zagreb	ORG
iajs-2704	10	1	1.introduction	CARDINAL
iajs-2704	10	2	topological	ORG
iajs-2704	13	1	first	ORDINAL
iajs-2704	14	1	1947	DATE
iajs-2704	14	2	harold	PERSON
iajs-2704	15	1	zagreb	GPE
iajs-2704	15	2	3	CARDINAL
iajs-2704	15	3	3	CARDINAL
iajs-2704	16	1	ibn al haitham	PERSON
iajs-2704	16	2	10.30526/34.4.2704	ORDINAL
iajs-2704	16	3	26	CARDINAL
iajs-2704	16	4	january 2021	DATE
iajs-2704	16	5	29	CARDINAL
iajs-2704	16	6	october 2021	DATE
iajs-2704	17	1	mailto:akr-tel@tu.edu.iq ibn al-haitham jour	PERSON
iajs-2704	19	1	sci	ORG
iajs-2704	20	1	34(4)2021 69	CARDINAL
iajs-2704	20	2	2019),abdussakir	CARDINAL
iajs-2704	20	3	8	CARDINAL
iajs-2704	20	4	2020	DATE
iajs-2704	20	5	g. r. roshini	PERSON
iajs-2704	21	1	9	CARDINAL
iajs-2704	21	2	2021	CARDINAL
iajs-2704	21	3	alaa .j	PERSON
iajs-2704	21	4	akram.s	ORG
iajs-2704	22	1	10	CARDINAL
iajs-2704	22	2	schultz	PERSON
iajs-2704	22	3	𝑍𝑟	ORG
iajs-2704	23	1	one	CARDINAL
iajs-2704	23	2	11	CARDINAL
iajs-2704	24	1	11	CARDINAL
iajs-2704	24	2	ᴦ𝑆𝐼(𝐺))= g-e	PERSON
iajs-2704	24	3	two	CARDINAL
iajs-2704	24	4	ᴦ𝑆𝐼	GPE
iajs-2704	24	5	|〈a〉∩〈b〉|	ORG
iajs-2704	24	6	1	CARDINAL
iajs-2704	25	1	2	CARDINAL
iajs-2704	29	1	0	CARDINAL
iajs-2704	30	1	𝑑(𝑢	GPE
iajs-2704	31	1	∈	ORG
iajs-2704	33	1	2] 𝜉𝐶(𝐺	QUANTITY
iajs-2704	35	1	1	CARDINAL
iajs-2704	36	1	4	CARDINAL
iajs-2704	37	1	1 √𝑑𝑒𝑔(𝑢)+𝑑𝑒𝑔(𝑣)𝑢𝑣∈	CARDINAL
iajs-2704	37	2	first	ORDINAL
iajs-2704	37	3	zagreb	ORG
iajs-2704	37	4	5	CARDINAL
iajs-2704	37	5	second	ORDINAL
iajs-2704	37	6	zagreb	ORG
iajs-2704	37	7	5	CARDINAL
iajs-2704	38	1	𝑑𝑒𝑔(𝑣)𝑢𝑣	TIME
iajs-2704	38	2	6	CARDINAL
iajs-2704	39	1	3	CARDINAL
iajs-2704	39	2	al-haitham jour	ORG
iajs-2704	41	1	sci	ORG
iajs-2704	42	1	34(4)2021	CARDINAL
iajs-2704	42	2	70	TIME
iajs-2704	43	1	2√𝑑𝑒𝑔(𝑢).𝑑𝑒𝑔(𝑣	CARDINAL
iajs-2704	43	2	𝑑𝑒𝑔(𝑢)+𝑑𝑒𝑔(𝑣)𝑢𝑣∈ 𝐸(𝐺	GPE
iajs-2704	44	1	2 𝑑𝑒𝑔(𝑢	DATE
iajs-2704	45	1	3	CARDINAL
iajs-2704	46	1	2	CARDINAL
iajs-2704	46	2	1	CARDINAL
iajs-2704	46	3	𝑍𝑟𝑛	ORG
iajs-2704	49	1	two	CARDINAL
iajs-2704	49	2	∩ 〈b〉| > 1	WORK_OF_ART
iajs-2704	49	3	∈	ORG
iajs-2704	49	4	3.1	CARDINAL
iajs-2704	49	5	2	CARDINAL
iajs-2704	50	1	2	CARDINAL
iajs-2704	50	2	𝑑𝑒𝑔(𝑣	PERSON
iajs-2704	51	1	2	CARDINAL
iajs-2704	51	2	∈ 𝑉	ORG
iajs-2704	51	3	1,2	CARDINAL
iajs-2704	52	1	1	CARDINAL
iajs-2704	52	2	∈	PRODUCT
iajs-2704	52	3	1,2	CARDINAL
iajs-2704	55	1	𝑉(ᴦ𝑆𝐼(𝑍𝑟𝑛	PERSON
iajs-2704	57	1	1	CARDINAL
iajs-2704	58	1	1)(𝑟𝑛	CARDINAL
iajs-2704	58	2	2	CARDINAL
iajs-2704	58	3	3.2	CARDINAL
iajs-2704	58	4	2	CARDINAL
iajs-2704	58	5	1	CARDINAL
iajs-2704	59	1	1 + ∑	QUANTITY
iajs-2704	59	2	𝑑𝑒𝑔(𝑣	PERSON
iajs-2704	60	1	2	CARDINAL
iajs-2704	60	2	∈ 𝑉	ORG
iajs-2704	60	3	1,2	CARDINAL
iajs-2704	61	1	al-haitham jour	ORG
iajs-2704	63	1	sci	ORG
iajs-2704	64	1	34(4)2021	CARDINAL
iajs-2704	64	2	71	CARDINAL
iajs-2704	65	1	1	CARDINAL
iajs-2704	67	1	1	CARDINAL
iajs-2704	69	1	1	CARDINAL
iajs-2704	70	1	𝑟𝑛−2)𝑡𝑖𝑚𝑒𝑠	GPE
iajs-2704	71	1	𝑑𝑒𝑔(3	PERSON
iajs-2704	72	1	√𝑑𝑒𝑔(3	GPE
iajs-2704	73	1	√𝑑𝑒𝑔(3	GPE
iajs-2704	75	1	√𝑑𝑒𝑔(3	GPE
iajs-2704	76	1	1)⏟	CARDINAL
iajs-2704	78	1	1	CARDINAL
iajs-2704	78	2	2	CARDINAL
iajs-2704	80	1	2	CARDINAL
iajs-2704	80	2	2	CARDINAL
iajs-2704	80	3	2	CARDINAL
iajs-2704	80	4	2	CARDINAL
iajs-2704	80	5	2	CARDINAL
iajs-2704	80	6	1 + ∑	QUANTITY
iajs-2704	81	1	2	CARDINAL
iajs-2704	81	2	3.3	CARDINAL
iajs-2704	81	3	2	CARDINAL
iajs-2704	82	1	𝑑𝑒𝑔(𝑣	PERSON
iajs-2704	83	1	2	CARDINAL
iajs-2704	83	2	∈ 𝑉	ORG
iajs-2704	83	3	1,2	CARDINAL
iajs-2704	85	1	1	CARDINAL
iajs-2704	87	1	1	CARDINAL
iajs-2704	88	1	1	CARDINAL
iajs-2704	89	1	1)⏟	CARDINAL
iajs-2704	89	2	𝑟𝑛−2)𝑡𝑖𝑚𝑒𝑠	GPE
iajs-2704	89	3	+ 𝑑𝑒𝑔(3	PERSON
iajs-2704	90	1	√𝑑𝑒𝑔(3	GPE
iajs-2704	92	1	1)⏟	CARDINAL
iajs-2704	94	1	1	CARDINAL
iajs-2704	94	2	2	CARDINAL
iajs-2704	94	3	ibn al-haitham jour	PERSON
iajs-2704	96	1	sci	ORG
iajs-2704	97	1	34(4)2021 72	CARDINAL
iajs-2704	97	2	2	CARDINAL
iajs-2704	97	3	3	CARDINAL
iajs-2704	97	4	4	CARDINAL
iajs-2704	97	5	4 +⋯+ 1	DATE
iajs-2704	97	6	4	CARDINAL
iajs-2704	98	1	4	CARDINAL
iajs-2704	98	2	3.4	CARDINAL
iajs-2704	98	3	2	CARDINAL
iajs-2704	98	4	1	CARDINAL
iajs-2704	98	5	first	ORDINAL
iajs-2704	100	1	1)(𝑟𝑛	CARDINAL
iajs-2704	100	2	𝑑𝑒𝑔(𝑣	PERSON
iajs-2704	101	1	2	CARDINAL
iajs-2704	101	2	∈ 𝑉	ORG
iajs-2704	101	3	1,2	CARDINAL
iajs-2704	103	1	1))2⏟	CARDINAL
iajs-2704	103	2	1)(𝑟𝑛	CARDINAL
iajs-2704	103	3	3.5	CARDINAL
iajs-2704	103	4	2	CARDINAL
iajs-2704	103	5	1	CARDINAL
iajs-2704	103	6	second	ORDINAL
iajs-2704	104	1	2)2∑	CARDINAL
iajs-2704	105	1	𝑑𝑒𝑔(𝑣	PERSON
iajs-2704	106	1	2	CARDINAL
iajs-2704	106	2	∈ 𝑉	ORG
iajs-2704	106	3	1,2	CARDINAL
iajs-2704	109	1	𝑑𝑒𝑔(𝑣)𝑢𝑣	PERSON
iajs-2704	114	1	𝑑𝑒𝑔(3	PERSON
iajs-2704	116	1	1)⏟	CARDINAL
iajs-2704	116	2	+ 𝑑𝑒𝑔(3	PERSON
iajs-2704	120	1	1)⏟	CARDINAL
iajs-2704	120	2	2	CARDINAL
iajs-2704	123	1	2)3 +	DATE
iajs-2704	123	2	al-haitham jour	ORG
iajs-2704	125	1	sci	ORG
iajs-2704	126	1	34(4)2021 73	CARDINAL
iajs-2704	126	2	3.6	CARDINAL
iajs-2704	126	3	2	CARDINAL
iajs-2704	126	4	1	CARDINAL
iajs-2704	127	1	1)(𝑟𝑛	CARDINAL
iajs-2704	127	2	𝑑𝑒𝑔(𝑣	PERSON
iajs-2704	128	1	2	CARDINAL
iajs-2704	128	2	∈ 𝑉	ORG
iajs-2704	128	3	1,2	CARDINAL
iajs-2704	131	1	𝑑𝑒𝑔(1))3 +	DATE
iajs-2704	131	2	1))3⏟	CARDINAL
iajs-2704	132	1	1)(𝑟𝑛	CARDINAL
iajs-2704	132	2	2)3	CARDINAL
iajs-2704	132	3	3.7	CARDINAL
iajs-2704	132	4	2	CARDINAL
iajs-2704	133	1	6	CARDINAL
iajs-2704	133	2	6∑	CARDINAL
iajs-2704	135	1	2	CARDINAL
iajs-2704	135	2	𝑑𝑒𝑔(𝑣	PERSON
iajs-2704	136	1	2	CARDINAL
iajs-2704	136	2	∈ 𝑉	ORG
iajs-2704	136	3	1,2	CARDINAL
iajs-2704	138	1	+ 𝑑𝑒𝑔(𝑣	PERSON
iajs-2704	138	2	2	CARDINAL
iajs-2704	141	1	2	CARDINAL
iajs-2704	144	1	2	CARDINAL
iajs-2704	145	1	1	CARDINAL
iajs-2704	145	2	+ 𝑑𝑒𝑔(3	PERSON
iajs-2704	145	3	2	CARDINAL
iajs-2704	146	1	𝑑𝑒𝑔(3	PERSON
iajs-2704	148	1	2	CARDINAL
iajs-2704	149	1	1	CARDINAL
iajs-2704	150	1	2	CARDINAL
iajs-2704	151	1	𝑑𝑒𝑔(4	ORG
iajs-2704	153	1	2	CARDINAL
iajs-2704	154	1	1	CARDINAL
iajs-2704	154	2	2	CARDINAL
iajs-2704	154	3	2	CARDINAL
iajs-2704	154	4	2	CARDINAL
iajs-2704	155	1	ibn al-haitham jour	PERSON
iajs-2704	157	1	sci	ORG
iajs-2704	158	1	34(4)2021 74	CARDINAL
iajs-2704	158	2	6 +	DATE
iajs-2704	158	3	3)√2𝑟𝑛	CARDINAL
iajs-2704	158	4	2	CARDINAL
iajs-2704	158	5	4)√2𝑟𝑛	CARDINAL
iajs-2704	158	6	2	CARDINAL
iajs-2704	159	1	2	CARDINAL
iajs-2704	159	2	6	CARDINAL
iajs-2704	159	3	6∑	CARDINAL
iajs-2704	160	1	2	CARDINAL
iajs-2704	160	2	3.8	CARDINAL
iajs-2704	160	3	2	CARDINAL
iajs-2704	160	4	1	CARDINAL
iajs-2704	162	1	𝑑𝑒𝑔(𝑣	PERSON
iajs-2704	163	1	2	CARDINAL
iajs-2704	163	2	∈ 𝑉	ORG
iajs-2704	163	3	1,2	CARDINAL
iajs-2704	165	1	2√𝑑𝑒𝑔(𝑢	CARDINAL
iajs-2704	166	1	𝑑𝑒𝑔(𝑣) 𝑑𝑒𝑔(𝑢	ORG
iajs-2704	168	1	2√𝑑𝑒𝑔(1	CARDINAL
iajs-2704	169	1	2	CARDINAL
iajs-2704	170	1	2	CARDINAL
iajs-2704	170	2	2√𝑑𝑒𝑔(1	CARDINAL
iajs-2704	171	1	1	CARDINAL
iajs-2704	172	1	𝑟𝑛−2)𝑡𝑖𝑚𝑒𝑠	GPE
iajs-2704	173	1	3	CARDINAL
iajs-2704	174	1	3	CARDINAL
iajs-2704	175	1	1	CARDINAL
iajs-2704	177	1	4	CARDINAL
iajs-2704	178	1	4	CARDINAL
iajs-2704	178	2	2√𝑑𝑒𝑔(3	CARDINAL
iajs-2704	180	1	1)⏟	CARDINAL
iajs-2704	181	1	2	CARDINAL
iajs-2704	182	1	2	CARDINAL
iajs-2704	183	1	4 + 2(𝑟𝑛	QUANTITY
iajs-2704	183	2	2	CARDINAL
iajs-2704	183	3	4 + 2(𝑟𝑛	QUANTITY
iajs-2704	183	4	2	CARDINAL
iajs-2704	183	5	4 +⋯+ 2(𝑟𝑛	DATE
iajs-2704	183	6	2	CARDINAL
iajs-2704	183	7	4	CARDINAL
iajs-2704	183	8	2	CARDINAL
iajs-2704	183	9	3.9	CARDINAL
iajs-2704	183	10	2	CARDINAL
iajs-2704	183	11	1	CARDINAL
iajs-2704	183	12	1 + 2 2𝑟𝑛−4 ∑	QUANTITY
iajs-2704	184	1	𝑑𝑒𝑔(𝑣	PERSON
iajs-2704	185	1	2	CARDINAL
iajs-2704	185	2	∈ 𝑉	ORG
iajs-2704	185	3	1,2	CARDINAL
iajs-2704	186	1	al-haitham jour	ORG
iajs-2704	188	1	sci	ORG
iajs-2704	189	1	34(4)2021 75	CARDINAL
iajs-2704	190	1	2 𝑑𝑒𝑔(𝑢	DATE
iajs-2704	190	2	2	CARDINAL
iajs-2704	191	1	2	CARDINAL
iajs-2704	191	2	2	CARDINAL
iajs-2704	193	1	3	CARDINAL
iajs-2704	193	2	2	CARDINAL
iajs-2704	195	1	4	CARDINAL
iajs-2704	195	2	2 𝑑𝑒𝑔(3	PERSON
iajs-2704	196	1	1)⏟	CARDINAL
iajs-2704	196	2	2	CARDINAL
iajs-2704	196	3	2	CARDINAL
iajs-2704	196	4	4 + 2(𝑟𝑛	QUANTITY
iajs-2704	196	5	3	CARDINAL
iajs-2704	196	6	4 + 2(𝑟𝑛	QUANTITY
iajs-2704	196	7	4	CARDINAL
iajs-2704	196	8	4 +⋯+ 2	DATE
iajs-2704	196	9	4	CARDINAL
iajs-2704	196	10	1 + 2	CARDINAL
iajs-2704	196	11	4	CARDINAL
iajs-2704	196	12	hosoya	PERSON
iajs-2704	196	13	schultz	PERSON
iajs-2704	196	14	schultz	PERSON
iajs-2704	197	1	4.1(12	DATE
iajs-2704	197	2	∑ 𝑑(𝐺	PERSON
iajs-2704	197	3	k=0	PERSON
iajs-2704	197	4	𝑑(𝐺	ORG
iajs-2704	197	5	0,1,2	DATE
iajs-2704	198	1	𝑑(𝐺	ORG
iajs-2704	198	2	0	DATE
iajs-2704	198	3	4.2(13	CARDINAL
iajs-2704	198	4	2𝑑(𝐺	CARDINAL
iajs-2704	198	5	1	CARDINAL
iajs-2704	198	6	4.3(14	DATE
iajs-2704	199	1	𝑑𝑒𝑔(𝑣	PERSON
iajs-2704	199	2	4.4	CARDINAL
iajs-2704	199	3	2	CARDINAL
iajs-2704	199	4	1	CARDINAL
iajs-2704	199	5	al-haitham jour	ORG
iajs-2704	201	1	sci	ORG
iajs-2704	202	1	34(4)2021	CARDINAL
iajs-2704	202	2	76	CARDINAL
iajs-2704	202	3	2	CARDINAL
iajs-2704	202	4	1	CARDINAL
iajs-2704	203	1	1	CARDINAL
iajs-2704	207	1	1	CARDINAL
iajs-2704	207	2	− 𝑖 𝑟𝑛−1 𝑖=2	ORG
iajs-2704	207	3	4.5	CARDINAL
iajs-2704	209	1	4)𝑥𝑟𝑛−1	CARDINAL
iajs-2704	210	1	2	CARDINAL
iajs-2704	210	2	1	CARDINAL
iajs-2704	211	1	𝑑𝑒𝑔(𝑣	PERSON
iajs-2704	212	1	2	CARDINAL
iajs-2704	212	2	∈ 𝑉	ORG
iajs-2704	212	3	1,2	CARDINAL
iajs-2704	213	1	1	CARDINAL
iajs-2704	219	1	1))𝑥⏟	CARDINAL
iajs-2704	219	2	𝑟𝑛−2)𝑡𝑖𝑚𝑒𝑠	GPE
iajs-2704	221	1	1	CARDINAL
iajs-2704	221	2	2))𝑥	CARDINAL
iajs-2704	221	3	4)𝑥	CARDINAL
iajs-2704	221	4	5	CARDINAL
iajs-2704	221	5	topological	ORG
iajs-2704	221	6	𝑍𝑟𝑛	PERSON
iajs-2704	221	7	2	CARDINAL
iajs-2704	221	8	1	CARDINAL
iajs-2704	221	9	𝑍𝑟𝑛	PERSON
iajs-2704	221	10	2	CARDINAL
iajs-2704	221	11	1	CARDINAL
iajs-2704	222	1	ibn al-haitham jour	PERSON
iajs-2704	223	1	sci	ORG
iajs-2704	224	1	34(4)2021 77	CARDINAL
iajs-2704	224	2	1	CARDINAL
iajs-2704	225	1	h.q u	GPE
iajs-2704	225	2	s. cao	PERSON
iajs-2704	227	1	plos one	PERSON
iajs-2704	227	2	1-12 2015	PERCENT
iajs-2704	227	3	mukwembi s.	PERSON
iajs-2704	227	4	swart h.c.	PERSON
iajs-2704	228	1	2011	DATE
iajs-2704	228	2	311	CARDINAL
iajs-2704	228	3	2009	DATE
iajs-2704	228	4	1229-1234	CARDINAL
iajs-2704	229	1	3	CARDINAL
iajs-2704	229	2	m.s.	GPE
iajs-2704	230	1	wang	PERSON
iajs-2704	230	2	c. ; mohamed	PERSON
iajs-2704	230	3	s.a.	GPE
iajs-2704	231	1	2018,6(33	CARDINAL
iajs-2704	232	1	4	CARDINAL
iajs-2704	232	2	kinkar	PERSON
iajs-2704	232	3	das, s.	ORG
iajs-2704	232	4	china	GPE
iajs-2704	233	1	2016	DATE
iajs-2704	233	2	11(1),47-54	DATE
iajs-2704	234	1	5	CARDINAL
iajs-2704	234	2	khalifeh	PERSON
iajs-2704	234	3	m.h.	GPE
iajs-2704	234	4	yousefiazari, h.	ORG
iajs-2704	236	1	first	ORDINAL
iajs-2704	236	2	second	ORDINAL
iajs-2704	236	3	zagreb	ORG
iajs-2704	236	4	.2009	ORG
iajs-2704	236	5	157, 2008	DATE
iajs-2704	236	6	804	CARDINAL
iajs-2704	237	1	khaksari, a.	ORG
iajs-2704	237	2	topological	ORG
iajs-2704	237	3	iranian	NORP
iajs-2704	238	1	2017	CARDINAL
iajs-2704	238	2	327	CARDINAL
iajs-2704	239	1	zhong	PERSON
iajs-2704	239	2	8	CARDINAL
iajs-2704	240	1	105	CARDINAL
iajs-2704	241	1	9	CARDINAL
iajs-2704	241	2	g. r. some	PERSON
iajs-2704	241	3	topological	ORG
iajs-2704	244	1	2020	DATE
iajs-2704	244	2	10(2	DATE
iajs-2704	244	3	225	CARDINAL
iajs-2704	245	1	10	CARDINAL
iajs-2704	246	1	alaa	PERSON
iajs-2704	246	2	j. nawaf	PERSON
iajs-2704	246	3	akram	GPE
iajs-2704	246	4	s. mohammad	PERSON
iajs-2704	246	5	schultz	PERSON
iajs-2704	246	6	𝑍𝑟	ORG
iajs-2704	246	7	al-qadisiyah	PERSON
iajs-2704	246	8	13(1),120-130	CARDINAL
iajs-2704	246	9	11	CARDINAL
iajs-2704	247	1	tamizh chelvam	ORG
iajs-2704	247	2	sattanathan	GPE
iajs-2704	247	3	m.	PERSON
iajs-2704	248	1	adv.	ORG
iajs-2704	249	1	10.5373/	CARDINAL
iajs-2704	250	1	2011	DATE
iajs-2704	250	2	3(4),44-49	DATE
iajs-2704	251	1	594.100910	DATE
iajs-2704	252	1	12	CARDINAL
iajs-2704	252	2	hosoya	PERSON
iajs-2704	252	3	13	CARDINAL
iajs-2704	253	1	chartrand	GPE
iajs-2704	253	2	g.; lesniak .	PERSON
iajs-2704	253	3	6th	ORDINAL
iajs-2704	253	4	wadsworth	ORG
iajs-2704	253	5	brooks/cole	ORG
iajs-2704	254	1	california	GPE
iajs-2704	255	1	2016	DATE
iajs-2704	256	1	14	CARDINAL
iajs-2704	257	1	the schultz molecular topological	ORG
iajs-2704	258	1	comput	PERSON
iajs-2704	259	1	sci	ORG
iajs-2704	259	2	𝟏𝟗𝟗𝟒,34	DATE
iajs-2704	259	3	1087-1089	CARDINAL