Advances and Applications in Discrete Mathematics

The Advances and Applications in Discrete Mathematics is a prestigious peer-reviewed journal indexed in the Emerging Sources Citation Index (ESCI). It is dedicated to publishing original research articles in the field of discrete mathematics and combinatorics, including topics such as graphs, coding theory, and block design. The journal emphasizes efficient and powerful tools for real-world applications and welcomes expository articles that highlight current developments in the field.

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ON EVEN MULTIPLICATION DOMINATION NUMBER OF SOME GRAPHS

Authors

  • Sejal H. Karkar

Keywords:

degree of a vertex, domination number, even multiplication domination number

DOI:

https://doi.org/10.17654/0974165824030

Abstract

In this paper, we introduce an even multiplication domination number of a graph and obtain some of its basic results. Also, we provide some bounds for even multiplication domination number for some graphs.

Received: March 19, 2024
Revised: June 24, 2024
Accepted: July 6, 2024

References

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G. Chartrand and P. Zhang, The Steiner number of a graph, Discrete Math. 242 (2002), 41-54.

G. Chartrand, T. W. Haynes, M. A. Henning and P. Zhang, Detour domination in graphs, Ars Combin. 71 (2004), 149-160.

J. Clark and D. A. Holton, A First Look at Graph Theory, World Scientific, 1995.

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

S. T. Hedetniemi and R. C. Laskar, Bibliography on domination in graphs and some basic definitions of domination parameters, Discrete Math. 86 (1990), 257-277.

O. Ore, Theory of graphs, Amer. Math. Soc. Transl. 38 (1962), 206-212.

E. Sampathkumar and L. Pushpa Latha, Strong weak domination and domination balance in graph, Discrete Math. 161 (1996), 235-242.

D. B. West, Introduction to Graph Theory, 2nd ed., Prentice-Hall of India, New Delhi, 2003.

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Published

2024-07-18

Issue

Vol. 41 No. 6 (2024)

Section

Articles

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How to Cite

ON EVEN MULTIPLICATION DOMINATION NUMBER OF SOME GRAPHS. (2024). Advances and Applications in Discrete Mathematics, 41(6), 441-448. https://doi.org/10.17654/0974165824030

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