Sharp Bounds on the Sombor Energy of Graphs

Bilal Ahmad Rather, Muhammad Imran

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

For a simple graph G with vertex set {v1, v2, . . ., vn} and edge set E(G). The Sombor matrix S(G) of G is an n × n matrix, whose (i, j)-entry is equal is q d2i + d2j, if i and j are adjacent and 0, otherwise. The multi-set of the eigenvalues of S(G) is known as the Sombor spectrum of G, denoted by µ1 ≥ µ2 ≥ · · · ≥ µn, where µ1 is the Sombor spectral radius of G. The absolute sum of the Sombor eigenvalues if known as the Sombor energy. In this article, we find the bounds for the Sombor energy of G and characterize the corresponding extremal graphs. These bounds are better than already known results on Sombor energy.

Original languageEnglish
Pages (from-to)605-624
Number of pages20
JournalMatch
Volume88
Issue number3
DOIs
Publication statusPublished - 2022

ASJC Scopus subject areas

  • Chemistry(all)
  • Computer Science Applications
  • Computational Theory and Mathematics
  • Applied Mathematics

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