On Connected Co-Independent Hop Domination in Graphs

Authors

  • Sandra Abo Nanding Mindanao State University-Iligan Institute of Technology
  • Helen Rara Center of Graph Theory, Algebra, and Analysis-Premier Research Institute of Science and Mathematics, Mindanao State University-Iligan Institute of Technology

DOI:

https://doi.org/10.29020/nybg.ejpam.v14i4.4069

Keywords:

connected co-independent hop dominating set, connected co-independent hop domination number, strictly co-independent set, strictly co-independent number, join, corona, lexicographic product

Abstract

Let G be a connected graph. A subset S of V (G) is a connected co-independent hop dominating set in G if the subgraph induced by S is connected and V (G)\S is an independent set where for each v ∈ V (G)\S, there exists a vertex u ∈ S such that dG(u, v) = 2. The smallest cardinality of such an S is called the connected co-independent hop domination number of G. This paper presents the characterizations of the connected co-independent hop dominating sets in the join, corona and lexicographic product of two graphs. It also discusses the corresponding connected co-independent hop domination numbers of the aforementioned graphs.

Author Biography

Helen Rara, Center of Graph Theory, Algebra, and Analysis-Premier Research Institute of Science and Mathematics, Mindanao State University-Iligan Institute of Technology

Deparment of Mathematics and Statistics

Professor VI

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Published

2021-11-10

How to Cite

Nanding, S. A., & Rara, H. (2021). On Connected Co-Independent Hop Domination in Graphs. European Journal of Pure and Applied Mathematics, 14(4), 1226–1236. https://doi.org/10.29020/nybg.ejpam.v14i4.4069

Issue

Vol. 14 No. 4: (October 2021)

Section

Nonlinear Analysis

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.

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