General Multiplicative Zagreb Indices of Graphs with Bridges

Monther Rashed Alfuraidan, Muhammad Imran, Muhammad Kamran Jamil, Tomas Vetrik

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

Multiplicative Zagreb indices have been studied due to their extensive applications. They play a substantial role in chemistry, pharmaceutical sciences, materials science and engineering, because we can correlate them with numerous physico-chemical properties of molecules. We use graph theory to characterize these chemical structures. The vertices of graphs represent the atoms of a compound and edges of graphs represent the chemical bonds. We present upper and lower bounds on the general multiplicative Zagreb indices for graphs with given number of vertices and cut-edges called bridges. We give all the extremal graphs, which implies that our bounds are best possible.

Original languageEnglish
Article number9125882
Pages (from-to)118725-118731
Number of pages7
JournalIEEE Access
Volume8
DOIs
Publication statusPublished - 2020

Keywords

  • Multiplicative Zagreb index
  • bridge
  • degree

ASJC Scopus subject areas

  • Computer Science(all)
  • Materials Science(all)
  • Engineering(all)

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