Power graphs and a combinatorial property of abundant semigroups

Abstract

The aim of this paper is to study the power graph of a semigroup. We obtain sufficient and necessary conditions for the independence number of the power graph of an (IC) abundant semigroups (superabundant semigroups) to be finite.

Keywords

• Power graph
• independence number
• abundant semigroup
• superabundant semigroup
• 05C25
• 20M10