The energy and sombor index of graphs

Ulker A., GÜRSOY A., Gursoy N. K.

Match, vol.87, no.1, pp.51-58, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 87 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.46793/match.87-1.051u
  • Journal Name: Match
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.51-58
  • Istanbul Kültür University Affiliated: Yes

Abstract

The energy of a graph is defined to be the sum of absolute values of eigenvalues of its adjacency matrix. The Sombor index of a graph is a novel topological index of a graph. In this paper, we study relations between energy and Sombor index of a graph G in terms of its degrees. Moreover, we give upper bound for a regular graph in terms of its Sombor index.