Extremal tetracyclic graphs with respect to the first and second Zagreb indices

Document Type : Research Paper

Authors

1 university of Ayatollah Al-ozma

2 University of Kashan

Abstract

‎The first Zagreb index‎, ‎$M_1(G)$‎, ‎and second Zagreb index‎, ‎$M_2(G)$‎, ‎of the graph $G$ is defined as $M_{1}(G)=\sum_{v\in‎ ‎V(G)}d^{2}(v)$ and $M_{2}(G)=\sum_{e=uv\in E(G)}d(u)d(v),$ where‎ ‎$d(u)$ denotes the degree of vertex $u$‎. ‎In this paper‎, ‎the first‎ ‎and second maximum values of the first and second Zagreb indices‎ ‎in the class of all $n-$vertex tetracyclic graphs are presented‎.

Keywords

Main Subjects

References

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Transactions on Combinatorics
Volume 5, Issue 4 - Serial Number 4
December 2016
Pages 35-55

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History

  • Receive Date: 13 January 2016
  • Revise Date: 28 January 2016
  • Accept Date: 30 January 2016
  • Published Online: 01 December 2016

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