On Semitotal k-Fair and Independent k-Fair Domination in Graphs

Authors

  • Marivir Ortega Department of Mathematics and Statistics, College of Science and Mathematics, Mindanao State University-Iligan Institute of Technology, 9200 Iligan City, Philippines
  • Rowena Isla Department of Mathematics and Statistics, College of Science and Mathematics, Mindanao State University-Iligan Institute of Technology, 9200 Iligan City, Philippines

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i4.3812

Keywords:

Semitotal domination, Independent domination, $k$-Fair domination, Join, Corona, Lexicographic product, Cartesian product

Abstract

In this paper, we introduce and investigate the concepts of semitotal k-fair domination and independent k-fair domination, where k is a positive integer. We also characterize the semitotal 1-fair dominating sets and independent k-fair dominating sets in the join, corona, lexicographic product, and Cartesian product of graphs and determine the exact value or sharp bounds of the corresponding semitotal 1-fair domination number and independent k-fair domination number.

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Published

2020-10-31

Issue

Vol. 13 No. 4: (October 2020)

Section

Nonlinear Analysis

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How to Cite

On Semitotal k-Fair and Independent k-Fair Domination in Graphs. (2020). European Journal of Pure and Applied Mathematics, 13(4), 779-793. https://doi.org/10.29020/nybg.ejpam.v13i4.3812