Edge Cover Domination in Mangoldt Graph

Abstract

In their recent study of arithmetic graphs associated with certain arithmetic functions, the authors have introduced a new class of arithmetic graphs associated with Mangoldt function Λ(n), n ≥ 1, an integer and studied their basic properties and vertex cover. In this paper the edge cover, edge domination set, bondage number, non – bondage number and their parameters have been obtained for these graphs.