A NOTE ON DOMINATOR CHROMATIC NUMBER OF LINE GRAPH AND JUMP GRAPH OF SOME GRAPHS

Abstract

A dominator coloring is a coloring of the vertices of a graph suchthat every vertex is either alone in its color class or adjacent to all vertices of atleast one other color class. In this paper, we obtain the dominator chromaticnumber for the Line graph of some graphs, Central graph of Line graph ofStar graph and Central graph of Line graph of Double Star graph. And alsowe obtain the dominator chromatic number for J(Sn); J(Cn) and J(K1;n;n;n)respectively.