A short note on tetracyclic graphs with extremal values of Randić index

Suresh Elumalai, Toufik Mansour

Research output: Contribution to journalArticlepeer-review

Abstract

Let G be a simple graph. The Randić index of G is defined as the sum of 1/du dv over all edges uv of G, where dv denotes the vertex degree of v in G. Dehghan-Zadeh, Ashrafi and Habibi gave Tetracyclic graphs with extremal values of Randić index. We first point out that Theorem 1 is not completely correct and the number of nonisomorphic tetracyclic graphs on seven vertices given in Fig. 4 is incomplete and incorrect and in this short note, we present the correct version of it.

Original languageEnglish
Article number2050105
JournalAsian-European Journal of Mathematics
Volume13
Issue number6
DOIs
StatePublished - 1 Sep 2020

Bibliographical note

Publisher Copyright:
© 2020 World Scientific Publishing Company.

Keywords

  • Randić index
  • tetracyclic graph

ASJC Scopus subject areas

  • Mathematics (all)

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