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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A NOTE ON DOMINATION NUMBERS OF ZERO-DIVISOR GRAPHS OF MONOGENIC SEMIGROUPS

Authors

  • Irfan Dağdeviren
  • Nihat Akgüneş

Keywords:

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

DOI:

https://doi.org/10.17654/0974165824021

Abstract

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, 2024
Accepted: March 31, 2024

References

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Published

2024-04-06

Issue

Vol. 41 No. 4 (2024)

Section

Articles

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How to Cite

A NOTE ON DOMINATION NUMBERS OF ZERO-DIVISOR GRAPHS OF MONOGENIC SEMIGROUPS. (2024). Advances and Applications in Discrete Mathematics, 41(4), 303-310. https://doi.org/10.17654/0974165824021

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