A Note on the Chromatic Transversal Domination Number of a Class of Graphs

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Authors

  • C. Natarajan
     Department of Mathematics, School of Humanities and Sciences, SASTRA University, Thanjavur-613 401 ,IN
  • S. K. Ayyaswamy
     Department of Mathematics, School of Humanities and Sciences, SASTRA University, Thanjavur-613 401 ,IN

Keywords:

Domination, Colouring, Chromatic Transversal Domination.

Abstract

Let G = (V, E) be a graph with chromatic number Χ(G). A dominating set D of G is called a chromatic transversal dominating set (ctd-set, in short) if D intersects every colour class of every Χ-partition of G. The minimum cardinality of a ctd-set of G is called the chromatic transversal domination number of G and is denoted by ϒct(G). In this paper we solve a few open problems pertaining to this parameter for Shadow graph and Mycielskian graph of any graph G.

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Published

2016-12-01

How to Cite

Natarajan, C., & Ayyaswamy, S. K. (2016). A Note on the Chromatic Transversal Domination Number of a Class of Graphs. The Journal of the Indian Mathematical Society, 83(3-4), 323–328. Retrieved from http://informaticsjournals.com/index.php/jims/article/view/6612

Issue

Volume 83, Issue 3-4, July-December 2016

Section

Articles

License

Copyright (c) 2016 C. Natarajan, S. K. Ayyaswamy

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

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