General multiplicative zagreb indices of unicyclic graphs

Monther R. Alfuraidan, Selvaraj Balachandran*, Tomáš Vetrík

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

General multiplicative Zagreb indices generalize well-known multiplicative Zagreb indices of graphs. We present lower and upper bounds on the general multiplicative Zagreb indices for unicyclic graphs with given number of vertices and diameter/number of pendant vertices/cycle of given length. All bounds are best possible. Bounds on the classical multiplicative Zagreb indices of unicyclic graphs are corollaries of the general results.

Original languageEnglish
Pages (from-to)1-11
Number of pages11
JournalCarpathian Journal of Mathematics
Volume37
Issue number1
DOIs
StatePublished - 2021

Bibliographical note

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Keywords

  • Diameter
  • Multiplicative Zagreb index
  • Unicyclic graph

ASJC Scopus subject areas

  • General Mathematics

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