Extremum sum-connectivity index of trees and unicyclic graphs


Shooshtari H., Motamedi R., Cancan M.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022 (Peer-Reviewed Journal) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1142/s1793557122501972
  • Journal Name: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index, Scopus, zbMATH
  • Keywords: Sum-connectivity index, tree, unicyclic graphs

Abstract

The sum-connectivity index of a graph G is defined as the sum of weights 1/root d(w) +d(z ) over all edges wz of G, where d(w) and d(z) are the degrees of the vertices w and z in G, respectively. In this paper, we provide a simpler method to the extremal trees and unicyclic graph of the sum-connectivity index.