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Bounds on sombor index and inverse sum indeg (ISI) index of graph operations

  • Fareeha Jamal
  • , Muhammed Imran

Research output: Contribution to journalArticlepeer-review

Abstract

Let G be a graph with vertex set V (G) and edge set E(G). Denote by dG(u) the degree of a vertex u ∈ V (G). The Sombor index of G is defined as SO(G) = Puv∈E(G)pd2u + d2v, whereas, the inverse sum indeg (ISI) index is defined as ISI(G) = Puv∈E(G) dduu+ddvv . In this paper, we compute the bounds in terms of maximum degree, minimum degree, order and size of the original graphs G and H for Sombor and ISI indices of several graph operations like corona product, cartesian product, strong product, composition and join of graphs.

Original languageEnglish
Pages (from-to)785-798
Number of pages14
JournalCommunications in Combinatorics and Optimization
Volume9
Issue number4
DOIs
Publication statusPublished - 2024

Keywords

  • Sombor index
  • cartesian product
  • corona product
  • graph operations
  • inverse sum indeg index

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Control and Optimization

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