On graphs whose chromatic transversal domination number is two
DOI:
https://doi.org/10.4067/S0716-09172011000100006Keywords:
Domination number, Chromatic transversal domination number, Double star, Cubic graphs, Block graphs, Cactus graphs.Abstract
In this paper we characterize the class of trees, block graphs, cactus graphs and cubic graphs for which the chromatic transversal domination number is equal to two.References
[1] L. Benedict Michaelraj, S. K. Ayyaswamy and S. Arumugam, Chromatic transversal domination in graphs; J. Comb. Math. Comb. Comput. (Accepted for publication).
[2] L. Benedict Michaelraj, A Study on Chromatic Transversal Domination in graphs; (Ph.d Thesis), Bharathidasan University, Trichy, Tamilnadu, India, April 2008.
[3] T. W. Haynes, S. T. Hedetniemi and P. J. Slater, Fundamentals of Domination in graphs, Marcel Dekker, New York, (1998).
[2] L. Benedict Michaelraj, A Study on Chromatic Transversal Domination in graphs; (Ph.d Thesis), Bharathidasan University, Trichy, Tamilnadu, India, April 2008.
[3] T. W. Haynes, S. T. Hedetniemi and P. J. Slater, Fundamentals of Domination in graphs, Marcel Dekker, New York, (1998).
Published
2011-05-25
How to Cite
[1]
S. K. Ayyaswamy and C. Natarajan, “On graphs whose chromatic transversal domination number is two”, Proyecciones (Antofagasta, On line), vol. 30, no. 1, pp. 59-64, May 2011.
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