The theory of graphs and their parameters has a very broad scope of applications. The domination set is a parameter defined as a subset of the vertex or edge set of a graph. The zero-divisor graph, an algebraic structure representing the monogenic semigroup, has been presented recently. In this study, domination sets and domination numbers of monogenic semigroup graphs are obtained.

domination number, graph theory, monogenic semigroups, zero-divisor graph.

Received: January 21, 2024; Revised: March 11, 2024; Accepted: March 31, 2024; Published: April 6, 2024

How to cite this article: İrfan Dağdeviren and Nihat Akgüneş, A note on domination numbers of zero-divisor graphs of monogenic semigroups, Advances and Applications in Discrete Mathematics 41(4) (2024), 303-310. http://dx.doi.org/10.17654/0974165824021

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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