A Study on Dominator Coloring of Friendship and Barbell Graphs
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Keywords:
Coloring, Domination, Dominator coloringAbstract
A dominator coloring of a graph $G$ is a proper coloring of $G$ in which every vertex should dominate every vertex of at least one color class. The dominator chromatic number $\chi_d(G)$ is the minimum number of color classes in a dominator coloring of $G$. In this paper we study the dominator chromatic number of the barbell graph $B_n$ and friendship graph $F_n$.
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