Some Properties of Zero Forcing Hop Dominating Sets in a Graph

Authors

  • Jahiri Manditong MSU-Tawi-Tawi College of Technology and Oceanography
  • Aziz Tapeing MSU Tawi-Tawi College of Technology and Oceanography
  • Javier Hassan MSU Tawi-Tawi College of Technology and Oceanography
  • Alcyn R. Bakkang
  • Nurijam Hanna M. Mohommad
  • Sisteta U. Kamdon

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i1.4920

Keywords:

Zero Forcing Hop Dominating set, zero forcing hop dominating number

Abstract

In this paper, we initiate the study of a zero forcing hop domination in a graph. We establish some properties of this parameter and we determine its connections with other known parameters in graph theory. Moreover, we obtain some exact values or bounds of the parameter on the generalized graph, some families of graphs, and graphs under some operations via characterizations.

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Published

2024-01-31

Issue

Vol. 17 No. 1: (January 2024)

Section

Nonlinear Analysis

License

Copyright (c) 2024 European Journal of Pure and Applied Mathematics

Creative Commons License

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

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Some Properties of Zero Forcing Hop Dominating Sets in a Graph. (2024). European Journal of Pure and Applied Mathematics, 17(1), 324-337. https://doi.org/10.29020/nybg.ejpam.v17i1.4920