A NOTE ON DOMINATION NUMBERS OF ZERO-DIVISOR GRAPHS OF MONOGENIC SEMIGROUPS
Irfan Dağdeviren, Nihat Akgüneş · Advances and Applications in Discrete Mathematics · 2024
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. Received: January 21, 2024 Revised: March 11, 2024Accepted: March 31, 2024