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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 5 | Year 2019 | Article Id. IJMTT-V65I5P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I5P519

Closed Support of a Graph under Addition II


S. Balamurugan ,M. Anitha , C. Karnan , P. Palanikumar
Abstract

In this paper we defined closed support of a vertex 𝑣 under addition and closed support of a graph G under addition. We calculate the closed support for Dutch windmill graph, Butterfly graph and Ladder graph. Also, we generalized the value of closed support under addition for any given graph 𝐺. AMS Subject Code: 05C07

Keywords
Vertex Degree, Closed Support of a Vertex, Closed Support of a Graph.
References

[1] M. Anitha, S. Balamurugan: Strong (Weak) Efficient Open Domination on Product Graphs, International Journal of Pure and Applied Mathematics, (J.No. 23425), IISN 1311 - 8080, communicated.
[2] S. Balamurugan, M. Anitha, C. Karnan and P. Aristotle: A Note on Open Support of a Graph under Addition I, Communicated
[3] S. Balamurugan, M. Anitha, C. Karnan and P. Aristotle: A Note on Open Support of a Graph under Addition II, Communicated
[4] S. Balamurugan, M. Anitha, C. Karnan and P. Palanikumar: Closed Support of a Graph Under Addition I , Communicated
[5] R. Balakrishnan, K. Ranganathan, A Textbook of Graph Theory, Springer,2011.
[6] S. Balamurugan, A study on chromatic strong domination in graphs, Ph.D Thesis, Madurai Kamaraj University, India 2008.
[7] J.A. Bondy, U.S.R. Murthy, Graph theory with Applications, North-Holland, 1982.
[8] F. Harary : Graph Theory, Addsion Wesley, Reading, Mass, (1972).
[9] T. W. Haynes, S. T. Hedetniemi, P. J. Slater: Fundamentals of Domination in Graphs, Marcel Dekker, New York, (1998).
[10] C. Y. Ponnappan: Studies in Graph Theory Support Strong Domination in Graphs, Ph.D thesis, Madurai Kamaraj University (2008).

Citation :

S. Balamurugan ,M. Anitha , C. Karnan , P. Palanikumar, "Closed Support of a Graph under Addition II," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 5, pp. 123-128, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I5P519

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