On the Graph Parameters of Special Networks

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Domination in graphs has become one of the major areas of graph theory with extensive applications in design and analysis of communication networks, computational complexity, and algorithm design. This paper mainly research on domination number and bondage number of the graph, especially, these parameters measure to some extent the robustness of an interconnection network with respect to link failures. By constructing a family of minimum dominating sets we compute the domination number and bondage number of the sun graph.

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2977-2980

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March 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] T.W. Haynes, S.T. Hedetniemi, and P.J. Slater, Domination in Graphs: Advanced Topics, Marcel Dekker, New York, (1998).

Google Scholar

[2] T. W. Haynes, S.T. Hedetniemi, and P.J. Slater, Fundamentals of Domination in Graphs, Marcel Dekker, New York, (1998).

Google Scholar

[3] J. F. Fink, M. S. Jacobson, L. F. Kinch, J. Roberts, "The bondage number of a graph. Discrete Mathematics, 86(1990) 47-57.

DOI: 10.1016/0012-365x(90)90348-l

Google Scholar

[4] J.A. Bondy and U.S.R. Murty, Graph Theory with Application, North-Hokkand, New York, (1976).

Google Scholar

[5] John Clark , Derek Holton, Graph Theory, World Scientific Publishing , (1991).

Google Scholar

[6] J.F. Fink et al., The bondage number of a graph, Discrete Math., 86 (1990) 47-57.

Google Scholar