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Some new results on the number of fair dominating sets

Saeid Alikhani; Davood Bakhshesh; Nasrin Jafari; Maryam Safazadeh

Volume 54, Issue 2 , December 2022, , Pages 1-12

https://doi.org/10.22059/jac.2022.90381

Abstract
  Let $G=(V, E)$ be a simple graph. A dominating set of $G$ is a subset $D\subseteq V$ such that every vertex not in $D$ is adjacent to at least one vertex in $D$. The cardinality of the smallest dominating set of $G$, denoted by $\gamma(G)$, is the domination number of $G$. For $k \geq 1$, a $k$-fair ...  Read More