Determination of Total Dominator Colorings in Caterpillars

Authors

  • A. Vijayalekshmi S.T. Hindu College, Nagercoil, Tamil Nadu-629 002, India.

DOI:

https://doi.org/10.9734/bpi/ramrcs/v6/1642A

Keywords:

Total domination number, chromatic number and total dominator chromatic number, smarandachely k-dominator coloring, smarandachely k-dominator chromatic number

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  

Published

2022-01-01

How to Cite

A. Vijayalekshmi. (2022). Determination of Total Dominator Colorings in Caterpillars. Recent Advances in Mathematical Research and Computer Science Vol. 6, 82–88. https://doi.org/10.9734/bpi/ramrcs/v6/1642A

Issue

Recent Advances in Mathematical Research and Computer Science Vol. 6

Section

Chapters