Analysis of Vulnerability of Some Transformation Networks

Abstract

In several different applications and contexts, networks are essential frameworks and appear.Vulnerability value is a measure of the network’s durability in the face of damage that may lead to a reduction or complete loss of the network’s particular functionality. The domination number and it’s types can be used network vulnerability parameters. Recently, the disjunctive total domination number has been defined by Henning and Naicker. In this paper, the disjunctive total domination numbers of the transformation graph [Formula: see text] when [Formula: see text] of some graphs [Formula: see text] have been obtained. Furthermore, some new general results have been given for the parameter mentioned above.