دوستعلی مژده

A given graph G has a total dominator coloring if it has a proper coloring in which each vertex of G is adjacent to every vertex (or all vertices) of some color class. The total dominator chromatic number ) (G t d  of G is the minimum number of color classes in a total dominator coloring of a graph G . In this paper we study the total dominator chromatic number on several classes of graphs.