Sombor index and eigenvalues of comaximal graphs of commutative rings

Bilal Ahmad Rather, Muhammed Imran, S. Pirzada

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

The comaximal graph Γ(R) of a commutative ring R is a simple graph with vertex set R and two distinct vertices u and v of Γ(R) are adjacent if and only if uR + vR = R. In this paper, we find the sharp bounds for the Sombor index for comaximal graphs of integer modulo ring Zn and give the corresponding extremal graphs. Also, we find the Sombor eigenvalues and the bounds for the Sombor energy of comaximal graphs of Zn.

Original languageEnglish
Article number2450115
JournalJournal of Algebra and its Applications
Volume23
Issue number6
DOIs
Publication statusAccepted/In press - 2023

Keywords

  • Adjacency matrix; Sombor index; Sombor matrix
  • comaximal graphs; eigenvalues
  • integers

ASJC Scopus subject areas

  • Applied Mathematics
  • Algebra and Number Theory

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