Some Dominating Applications on Discrete Topological Graphs

Authors

  • Zahraa M. Kalil Department of Mathematics, College of Education for Pure Sciences University of Thi-Qar, Thi-Qar, Iraq
  • Mohammed A. Abdlhusein College of Education for WomenShatrah University, Thi-Qar,Iraq
  • Mohammad R. Farahani Department of Mathematics and Computer Sciences Iran University of Science and Technology (IUST), Narmak, Tehran 16844, Iran
  • Mohammad R. Farahani Department of Mathematics and Computer Sciences Iran University of Science and Technology (IUST), Narmak, Tehran 16844, Iran

DOI:

https://doi.org/10.32792/jeps.v15i1.678

Abstract

In this paper several types of dominating parameters are applied on a  discrete topological graph ) created from the topological space ), where  is the set of vertices in  that includes all subset of  unless  , , and  is a set of edges between any two vertices in which any two vertices in  such that . Some dominating parameters on  are studied such as: general domination, connected domination, doubly connected domination, and polynomial domination. Besides the minimum dominating set is proved for any topological graph formed by corona operation or join operation between two topological graphs. Also, the inverse domination is discussed.

Downloads

Published

2025-03-01

Issue

Vol. 15 No. 1 (2025): JOURNAL OF EDUCATION FOR PURE SCIENCE

Section

Articles

License

Copyright (c) 2025 Journal of Education for Pure Science

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The Authors understand that, the copyright of the articles shall be assigned to Journal of education for Pure Science (JEPS), University of Thi-Qar as publisher of the journal.

Copyright encompasses exclusive rights to reproduce and deliver the article in all form and media, including reprints, photographs, microfilms and any other similar reproductions, as well as translations. The reproduction of any part of this journal, its storage in databases and its transmission by any form or media, such as electronic, electrostatic and mechanical copies, photocopies, recordings, magnetic media, etc. , will be allowed only with a written permission from Journal of education for Pure Science (JEPS), University of Thi-Qar.

Journal of education for Pure Science (JEPS), University of Thi-Qar, the Editors and the Advisory International Editorial Board make every effort to ensure that no wrong or misleading data, opinions or statements be published in the journal. In any way, the contents of the articles and advertisements published in the Journal of education for Pure Science (JEPS), University of Thi-Qar are sole and exclusive responsibility of their respective authors and advertisers.