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

Author:

Ortega Marivir,Isla Rowena

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.

Publisher

New York Business Global LLC

Subject

Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Restrained Global Defensive Alliances in Graphs;European Journal of Pure and Applied Mathematics;2024-07-31

2. On k-Fair Total Domination in Graphs;European Journal of Pure and Applied Mathematics;2021-05-18

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