On Zagreb Indices and Coindices

被引：0

作者：

Gutman, Ivan ^{[1
,2
]}

Furtula, Boris ^{[1
]}

Vukicevic, Zana Kovijanic ^{[3
]}

Popivoda, Goran ^{[3
]}

机构：

[1] Univ Kragujevac, Fac Sci, Kragujevac 34000, Serbia

[2] State Univ Novi Pazar, Novi Pazar, Serbia

[3] Univ Montenegro, Dept Math, Podgorica 81000, Montenegro

来源：

MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY | 2015年 / 74卷 / 01期

关键词：

MOLECULAR-ORBITALS; GRAPH-THEORY; DISTANCE;

D O I：

暂无

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

A complete set of relations is established between the first and second Zagreb index and coindex of a graph and of its complements. Formulas for the first Zagreb index of several derived graphs are also obtained. A remarkable result is that the first Zagreb coindices of a graph and of its complement are always equal.

引用

页码：5 / 16

页数：12

共 23 条

[1]

Ashrafi AR, 2011, MATCH-COMMUN MATH CO, V65, P85

[2] The Zagreb coindices of graph operations [J].

Ashrafi, A. R. ;

Doslic, T. ;

Hamzeh, A. .

DISCRETE APPLIED MATHEMATICS, 2010, 158 (15) :1571-1578

[3]

Baskar Babujee J., 2012, COMP MATH MATH PHYS, P357

[4]

Das KC, 2004, MATCH-COMMUN MATH CO, P103

[5]

Das KC, 2012, MATCH-COMMUN MATH CO, V68, P189

[6]

Doslic T, 2011, MATCH-COMMUN MATH CO, V66, P613

[7] Vertex-Weighted Wiener Polynomials for Composite Graphs [J].

Doslic, Tomislav .

ARS MATHEMATICA CONTEMPORANEA, 2008, 1 (01) :66-80

[8] A forgotten topological index [J].

Furtula, Boris ;

Gutman, Ivan .

JOURNAL OF MATHEMATICAL CHEMISTRY, 2015, 53 (04) :1184-1190

[9] On structure-sensitivity of degree-based topological indices [J].

Furtula, Boris ;

Gutman, Ivan ;

Dehmer, Matthias .

APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (17) :8973-8978

[10]

Gutman I, 2004, MATCH-COMMUN MATH CO, P83

← 1 2 3 →