Reformulated Zagreb indices of some derived graphs

Jia Bao Liu, Bahadur Ali, Muhammad Aslam Malik, Hafiz Muhammad Afzal Siddiqui, Muhammad Imran

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

A topological index is a numeric quantity that is closely related to the chemical constitution to establish the correlation of its chemical structure with chemical reactivity or physical properties. Miličević reformulated the original Zagreb indices in 2004, replacing vertex degrees by edge degrees. In this paper, we established the expressions for the reformulated Zagreb indices of some derived graphs such as a complement, line graph, subdivision graph, edge-semitotal graph, vertex-semitotal graph, total graph, and paraline graph of a graph.

Original languageEnglish
Article number366
JournalMathematics
Volume7
Issue number4
DOIs
Publication statusPublished - Apr 1 2019

Keywords

  • Degree of edge
  • Degree of vertex
  • Reformulated Zagreb indices
  • Zagreb indices

ASJC Scopus subject areas

  • General Mathematics

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