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

How to Cite

Hassan, J., & Canoy, Jr., S. R. (2023). Connected Grundy Hop Dominating Sequences in Graphs. European Journal of Pure and Applied Mathematics, 16(2), 1212–1227. https://doi.org/10.29020/nybg.ejpam.v16i2.4687

Issue

Vol. 16 No. 2: (April 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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