期刊论文

Wang, Shaohui

英文

Bulletin of the Malaysian Mathematical Sciences Society

0126-6705

2019

42

1

67-78

10.1007/s40840-017-0463-2

Acknowledgements This work is partially supported by National Natural Science Foundation of China (Nos. 11601006, 11471016, 11401004, 11571134, 11371162), Anhui Provincial Natural Science Foundation (Nos. KJ2015A331, KJ2013B105, 1408085QA03), the Self-determined Research Funds of Central China Normal University from the colleges basic research and operation of MOE. The authors would like to express their sincere gratitude to the anonymous referees and the editor for many friendly and helpful suggestions, which led to great deal of improvement of the original manuscript.

本校为其他机构

For a graph $$G = (V(G), E(G))$$ , let d(u), d(v) be the degrees of the vertices u, v in G. The first and second Zagreb indices of G are defined as $$ M_1(G) = \sum _{u \in V(G)} d(u)^2$$ and $$ M_2(G) = \sum _{uv \in E(G)} d(u)d(v)$$ , respectively. The first (generalized) and second Multiplicative Zagreb indices of G are defined as $$\Pi _{1,c}(G) = \prod _{v \in V(G)}d(v)^c$$ and $$\Pi _2(G) = \Pi _{uv \in E(G)} d(u)d(v)$$ , respectively. The (Multiplicative) Zagreb indices have been the focus of considerable researc...