Extremal polyomino chains with respect to Zagreb indices

被引：25

作者：

Yarahmadi, Zahra ^{[1
]}

Ashrafi, Ali Reza ^{[2
]}

Moradi, Sirous ^{[3
]}

机构：

[1] Islamic Azad Univ, Khorramabad Branch, Fac Sci, Dept Math, Khorramabad, Iran

[2] Univ Kashan, Fac Sci, Dept Math Stat & Comp Sci, Kashan 8731751167, Iran

[3] Arak Univ, Fac Sci, Dept Math, Arak 3815688349, Iran

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 02期

关键词：

Zagreb indices; Polyomino chain;

D O I：

10.1016/j.aml.2011.08.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a molecular graph, the first Zagreb index M-1 is equal to the sum of squares of the vertex degrees and second Zagreb index M-2 is equal to the sum of products of degree of pairs of adjacent vertices. In this paper, Zagreb indices of polyomino chains are computed. Also the extremal polyomino chains with respect to Zagreb indices are determined. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：166 / 171

页数：6

共 50 条

[41] The PI Index of Polyomino Chains of 4k-Cycles
Mansour, Toufik
Schork, Matthias
ACTA APPLICANDAE MATHEMATICAE, 2010, 109 (03) : 671 - 681
[42] Comparing Zagreb indices for connected graphs
Horoldagva, Batmend
Lee, Sang-Gu
DISCRETE APPLIED MATHEMATICS, 2010, 158 (10) : 1073 - 1078
[43] Relation between wiener numbers of quasi-hexagonal chains and quasi-polyomino chains
Xie, Mingfang
Zhang, Fuji
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2010, 23 (04) : 873 - 882
[44] A note on polyomino chains with extremum general sum-connectivity index
Ali, Akbar
Idrees, Tahir
COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, 2021, 6 (01) : 81 - 91
[45] Relation between wiener numbers of quasi-hexagonal chains and quasi-polyomino chains
Mingfang Xie
Fuji Zhang
Journal of Systems Science and Complexity, 2010, 23 : 873 - 882
[46] RELATION BETWEEN WIENER NUMBERS OF QUASI-HEXAGONAL CHAINS AND QUASI-POLYOMINO CHAINS
Mingfang XIE College of Jinshan
Journal of Systems Science & Complexity, 2010, 23 (04) : 873 - 882
[47] Omega and related polynomials of polyomino chains of 4 k-cycles
Alaeiyan, Mehdi
Gilani, Alireza
Mojarad, Rasoul
Asadpour, Jafar
KUWAIT JOURNAL OF SCIENCE, 2014, 41 (01) : 85 - 92
[48] Extremal chemical trees of the first reverse Zagreb beta index
Ediz, Suleyman
Semiz, Mesut
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2018, 24 (04) : 144 - 148
[49] ZAGREB ECCENTRICITY INDICES OF CYCLES RELATED GRAPHS
Turaci, Tufan
ARS COMBINATORIA, 2016, 125 : 247 - 256
[50] Reformulated Zagreb Indices of Some Derived Graphs
Liu, Jia-Bao
Ali, Bahadur
Malik, Muhammad Aslam
Siddiqui, Hafiz Muhammad Afzal
Imran, Muhammad
MATHEMATICS, 2019, 7 (04):

← 1 2 3 4 5 →