(s,t)-Dominating polynomials in graphs

Abstract

In this paper, We discuss some properties of dominantly open, and dominantly closed graphs, and polynomial
representation of such graphs.

Dominating, Polynomials, simple graph

Mathematics

Authors Imprint References Funding Related Articles Downloads

N. Murugesan Department of Mathematics, Government Arts College, Coimbatore-641018, Tamil Nadu, India.
B. Samyukthavarthini Department of Mathematics, Government Arts College, Coimbatore-641018, Tamil Nadu, India.

S. Akbari, S. Alikhani, and Y.H. Peng, characterization of graphs using domination polynomial, Europ. J. Combin., $31(2010), 1714-1724$.

S. Alikhani, E. Mahmoudi, and M.R. Oboudi, some new approaches for computation of domination polynomial of specific graphs, J. Math. Ext., 2014, 1-9

S. Alikhani, and Y.H. Peng., Introduction to domination polynomial of a graph, Ars Combin., 114(2014), 257-266.

S. Alikhani, and Y.H. Peng, Dominating sets and domination polynomial of cycles, Global Journal of Pure and Applied Mathematics, 4(2), 2008.

Berge, Theory of Graphs and its Applications, (Methuen, London, 1962) 40-51.

J.A. Bondy, U.S.R. Murty, Graph theory with application, Elsevier Science Publishing Co, Sixth printing, 1984.

F. Harary, Graph Theory, Addison Wesley Reading Mass(1969).

T.W. Haynes, S.T. Hedetniemi, P.J. Slater, Fundamentals of Domination in Graphs, Marcel Dekker, Inc., New York, 1998.

Ore, Theory of Graphs, Amer, Math.Soc.Colloq. Publ. 38 (Amer, Math.Soc., Providence, RI, 1962) 206-212.

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