A Note on Open Support of a Graph under
Addition I

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

doi:https://doi.org/10.14445/22315373/IJMTT-V65I5P516

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 5 | Year 2019 | Article Id. IJMTT-V65I5P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I5P516

A Note on Open Support of a Graph under Addition I

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

Abstract

In this paper we defined an open support of a vertex 𝑣 under addition and open support of a graph G under addition. We calculate the open support for some standard graphs.

Keywords

Vertex Degree, Open Support of a Vertex, Open 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] R. Balakrishnan, K. Ranganathan, A Textbook of Graph Theory, Springer,2011.
[3] S. Balamurugan, A study on chromatic strong domination in graphs, Ph.D Thesis, Madurai Kamaraj University, India 2008.
[4] J.A. Bondy, U.S.R. Murthy, Graph theory with Applications, North-Holland, 1982.
[5] F. Harary : Graph Theory, Addsion Wesley, Reading, Mass, (1972).
[6] T. W. Haynes, S. T. Hedetniemi, P. J. Slater: Fundamentals of Domination in Graphs, Marcel Dekker, New York, (1998).
[7] C. Y. Ponnappan: Studies in Graph Theory Support Strong Domination in Graphs, Ph.D thesis, Madurai Kamaraj University (2008).

Citation :

S. Balamurugan, M. Anitha, P. Aristotle ,C. Karnan, "A Note on Open Support of a Graph under Addition I," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 5, pp. 110-114, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I5P516