Connected Grundy Hop Dominating Sequences in Graphs

Authors

  • Javier Hassan MSU-Iligan Institute of Technology, 9200, Iligan City, Philippines
  • Sergio R. Canoy, Jr.

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i2.4687

Keywords:

connected Grundy dominating sequence, Connected Grundy domination number

Abstract

In this paper, we introduce and do an initial investigation of a variant of Grundy hop domination in a graph called the connected Grundy hop domination. We show that the connected Grundy hop domination number lies between the connected hop domination and Grundy hop domination number of a graph. In particular, we give realization results involving connected hop domination, connected Grundy hop domination, and Grundy hop domination numbers. Moreover, we determine the connected Grundy hop domination numbers of some graphs.

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Published

2023-04-30

Issue

Vol. 16 No. 2: (April 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 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

Connected Grundy Hop Dominating Sequences in Graphs. (2023). European Journal of Pure and Applied Mathematics, 16(2), 1212-1227. https://doi.org/10.29020/nybg.ejpam.v16i2.4687