Some Properties and Realization Problems Involving Connected Outer-hop Independent Hop Domination in Graphs

Authors

  • Javier Hassan MSU-Iligan Institute of Technology, 9200, Iligan City, Philippines
  • Abdurajan B. Lintasan
  • Nurijam Hanna M. Mohammad

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i3.4684

Keywords:

Connected Outer-hop Independent Hop Dominating set, Connected Outer-hop Independent Hop Domination number

Abstract

In this paper, we construct a realization problems involving connected outer-hop independent hop domination and we determine its connections with other known parameters in graph theory. In particular, given two positive integers a and b with 2 ≤ a ≤ b are realizable as the connected hop domination, connected outer-hop independent hop domination, and connected outer-independent hop domination numbers, respectively, of a connected graph. In addition, we characterize the connected outer-hop independent hop dominating sets in some families of graphs, join and corona of two graphs, and we use these results to derive formulas for the parameters of these graphs.

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Published

2023-07-30

Issue

Vol. 16 No. 3: (July 2023)

Section

Nonlinear Analysis

License

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

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How to Cite

Some Properties and Realization Problems Involving Connected Outer-hop Independent Hop Domination in Graphs . (2023). European Journal of Pure and Applied Mathematics, 16(3), 1848-1861. https://doi.org/10.29020/nybg.ejpam.v16i3.4684