X− Dominating colour transversals in graphs
Resumen
Let G = (X, Y,E) be a bipartite graph. A X-dominating set D ⊆X is called a X−dominating colour transversal set of a graph G if D is
a transversal of at least one $chi$−partition of G.The minimum cardinal-
ity of a X−dominating colour transversal set is called X−dominating
colour transversal number and is denoted by $chi_{dct}(G)$. We find the
bounds of X−dominating colour transversal number and characterize
the graphs attaining the bound.
Descargas
Citas
Gera. R, Horton. S and Ramussen. C, Dominator coloring and safe clique Partitions,Congressus Numerantium, Volume 181 (2006),19-32.
T. W. Haynes, S. T. Hedetniemi and P. J. Slater, Fundamentals of Domination in graphs, Marcel Dekker, New York, 1998.
T. W. Haynes, S. T. Hedetniemi and P. J. Slater, Domination in Graphs - Advanced Topics, Marcel Dekker, New York, 1998.
Stephen Hedetniemi, Renu Laskar, A Bipartite theory of graphs I, Congressus Numerantium, Volume 55; December 1986, 5–14.
Stephen Hedetniemi, Renu Laskar, A Bipartite theory of graphs II, Congressus Numerantium, Volume 64; November 1988, 137-146.
V. Swaminathan and Y. B. Venkatakrishnan, Bipartite theory of irredundant set, Proyecciones Journal of Mathematics, Volume 30;2011, 19-28.
V. Swaminathan and Y. B. Venkatakrishnan, Bipartite theory on domination in complement of a graph, International Journal of Computational and Mathematical Sciences, Volume 3;2009, 96-97.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).