Domination in vague graphs and its applications

Abstract

The concept of vague graph introduced by Ramakrishna in [ 8 ]. The main purpose of this paper is to introduce the concepts of cardinality, dominating set, independent set, total dominating number and independent dominating number of a vague graph. The notion of irredundance number of a vague graph is discussed, too. Finally we give an application of domination in vague graphs.