The Second Zagreb Indices of Graphs with Given Degree Sequences

Wei-Gang Yuan; Xiao-Dong Zhang

The Second Zagreb Indices of Graphs with Given Degree Sequences

Combinatorics 2015-03-30 v1

Authors: Wei-Gang Yuan , Xiao-Dong Zhang

Abstract

The second Zagreb index of a graph G is denoted by $M_2(G)=\sum_{uv\in E(G)}d(u)d(v)$ . In this paper, we investigate properties of the extremal graphs with the maximum second Zagreb indices with given graphic sequences, in particular graphic bicyclic sequences. Moreover, we obtain the relations of the second Zagreb indices among the extremal graphs with different degree sequences.

Keywords

second Zagreb index degree sequences extremal graphs graphic sequences bicyclic graphs graph invariants topological indices

Cite

@article{arxiv.1503.07946,
  title  = {The Second Zagreb Indices of Graphs with Given Degree Sequences},
  author = {Wei-Gang Yuan and Xiao-Dong Zhang},
  journal= {arXiv preprint arXiv:1503.07946},
  year   = {2015}
}

Comments

18 pages 2 figures in Discrete Applied Mathematics, 2015

The Second Zagreb Indices of Graphs with Given Degree Sequences

Abstract

Keywords

Cite

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