Binding number for coprime graph of groups

Abstract

AbstractLet G be a finite group with identity e. The coprime of G, ΓG is a graph with G as the vertex set and two distinct vertices u and v are adjacent if and only if [Formula: see text] In this paper, we characterize the groups for which the binding number of coprime graph is 1 and investigate its bound range.

Keywords

• Group
• abelian
• non-abelian
• coprime graph
• binding number
• 05C25