Closed Support of a Graph under Multiplication

S. Balamurugan; M. Anitha; C. Karnan; P. Palanikumar

doi:https://doi.org/10.14445/22315373/IJMTT-V65I5P520

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 5 | Year 2019 | Article Id. IJMTT-V65I5P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I5P520

Closed Support of a Graph under Multiplication

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

Abstract

In this paper, the Closed support of a vertex 𝑣 under multiplication and Closed support of a graph 𝐺 under multiplication is defined and studied. Also, we find the value of Closed support of some namely graphs like Dutch windmill graph, Butterfly graph and Ladder graph. AMS Subject Code: 05C07

Keywords

Vertex Degree, Closed Support under multiplication of a Vertex, Closed Support under multiplication 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), ISSN 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] S. Balamurugan, M. Anitha, C. Karnan and P. Palanikumar: Closed Support of a Graph Under Addition II , Communicated
[6] S. Balamurugan, M. Anitha, C. Karnan and P. Palanikumar: Open Support of a Graph Under Multiplication , Communicated
[7] R. Balakrishnan, K. Ranganathan, A Textbook of Graph Theory, Springer,2011.
[8] S. Balamurugan, A study on chromatic strong domination in graphs, Ph.D Thesis, Madurai Kamaraj University, India 2008.
[9] J.A. Bondy, U.S.R. Murthy, Graph theory with Applications, North-Holland, 1982.
[10] F. Harary : Graph Theory, Addsion Wesley, Reading, Mass, (1972).
[11] T. W. Haynes, S. T. Hedetniemi, P. J. Slater: Fundamentals of Domination in Graphs, Marcel Dekker, New York, (1998).
[12] 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 Multiplication," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 5, pp. 129-133, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I5P520