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

Autor: Rowena T. Isla, Marivir Ortega
Rok vydání: 2020
Předmět:
Zdroj: European Journal of Pure and Applied Mathematics. 13:779-793
ISSN: 1307-5543
DOI: 10.29020/nybg.ejpam.v13i4.3812
Popis: 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.
Databáze: OpenAIRE