An alternate C++ programme for the total dominator chromatic number of ladder graphs

Abstract

A total dominator coloring of a graph \(G=(V, E)\) without isolated vertices is a proper coloring of \(G\) in which each vertex of \(\mathrm{G}\) is adjacent to every vertex of some color class. The total dominator chromatic number of \(G\) is the minimum number of colors among all total dominator colorings of \(\mathrm{G}\) and is denoted by \(\chi_{t d}(G)\). In this paper, we provide \(\mathrm{C}_{++}\) programme for the total dominator chromatic number of Ladder graphs.

Keywords:

Total dominator coloring, Total dominator chromatic number, Coloring

Mathematics Subject Classification:

Mathematics
  • A.Vijayalekshmi Department of Mathematics, S.T.Hindu College, Nagercoil-629002, Tamil Nadu, India.
  • J.Virgin Alangara Sheeba Research Scholar [Reg. No: 11813], Department of Mathematics, S.T.Hindu College, Nagercoil-629002, Tamil Nadu, India.
  • Pages: 602-607
  • Date Published: 01-04-2020
  • Vol. 8 No. 02 (2020): Malaya Journal of Matematik (MJM)

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M.I. Jinnah and A. Vijayalekshmi, Total Dominator Colorings in Graphs, Ph.D Thesis, University of Kerala, 2010.

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  • NA

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Published

01-04-2020

How to Cite

A.Vijayalekshmi, and J.Virgin Alangara Sheeba. “An Alternate C++ Programme for the Total Dominator Chromatic Number of Ladder Graphs”. Malaya Journal of Matematik, vol. 8, no. 02, Apr. 2020, pp. 602-7, doi:10.26637/MJM0802/0048.