Sombor spectra of chain graphs

Muhammad Imran, Bilal Ahmad Rather

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We study the Sombor index and the Sombor spectral properties of chain graphs. In particular, an explicit formula for the Sombor index is given, the Sombor eigenvalues are discussed, bounds on the largest and the smallest Sombor eigenvalues are presented, chain graphs with the simple Sombor eigenvalue are characterized, formulae for the Frobenius norm and the determinant of the Sombor quotient matrix of chain graphs are given, the Sombor spread bound and the Sombor energy bounds are presented along with the characterization of graphs attaining them.

Original languageEnglish
Article numbere18135
JournalHeliyon
Volume9
Issue number7
DOIs
Publication statusPublished - Jul 2023

Keywords

  • Adjacency matrix
  • Chain graphs
  • Sombor eigenvalues
  • Sombor energy
  • Sombor matrix

ASJC Scopus subject areas

  • General

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