HUB-INTEGRITY OF SPLITTING GRAPH AND DUPLICATION OF GRAPH ELEMENTS

Abstract

The hub-integrity of a graph G = V G ;E G is denoted as HI G and dened by HI G = minfjSj + m G S ; S is a hub set of Gg, where m G S is the order of a maximum component of G S. In this paper, we discuss hub-integrity of splitting graph and duplication of an edge by vertex and duplication of vertex by an edge of some graphs.