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arXiv · 1511.01652

Total dominator chromatic number of specific graphs

Saeid Alikhani·Nima Ghanbari
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Abstract

Let $G$ be a simple graph. A total dominator coloring of $G$ is a proper coloring of the vertices of $G$ in which each vertex of the graph is adjacent to every vertex of some color class. The total dominator chromatic number $χ_d^t(G)$ of $G$ is the minimum number of colors among all total dominator coloring of $G$. In this paper, we study the total dominator chromatic number of some specific graphs.

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Saeid Alikhani, Nima Ghanbari. 2015-11-05. Total dominator chromatic number of specific graphs. https://arxiv.org/abs/1511.01652

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