Total dominator chromatic number of some operations on a graph
Journal Title: Bulletin of Computational Applied Mathematics (Bull CompAMa) - Year 2018, Vol 6, Issue 2
Abstract
Let <i>G</i> be a simple graph. A total dominator coloring of <i>G</i> is a proper coloring of the vertices of <i>G</i> in which each vertex of the graph is adjacent to every vertex of some color class. The total dominator chromatic number Χ<sup>t</sup><sub>d</sub>(<i>G</i>) of <i>G</i> is the minimum number of colors among all total dominator coloring of <i>G</i>. In this paper, we examine the effects on Χ<sup>t</sup><sub>d</sub>(<i>G</i>) when <i>G</i> is modified by operations on vertex and edge of <i>G</i>.
Authors and Affiliations
Nima Ghanbari, Saeid Alikhani
Keywords
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