Determination of Total Dominator Colorings in Caterpillars

Vijayalekshmi, A. (2022) Determination of Total Dominator Colorings in Caterpillars. In: Recent Advances in Mathematical Research and Computer Science Vol. 6. B P International, pp. 82-88. ISBN 978-93-5547-328-8

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Abstract

In this chapter we determine total dominator chromatic number in caterpillars. Let be a graph without isolated vertices. A total dominator coloring of a graph is a proper coloring of with the extra property that every vertex in properly dominates a color class. The smallest number of colors for which there exists a total dominator coloring of is called the total dominator chromatic number of and is denoted by

Item Type: Book Section
Subjects: Opene Prints > Computer Science
Depositing User: Managing Editor
Date Deposited: 27 Oct 2023 04:03
Last Modified: 27 Oct 2023 04:03
URI: http://geographical.go2journals.com/id/eprint/2731

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