$\beta$-Packing Sets in Graphs

Benjamin M. Case, Evan M. Haithcock, Renu C. Laskar

A set $S\subseteq V$ is $\alpha$-dominating if for all $v\in V-S$, $|N(v)\cap S|\ge \alpha |N(v)|.$ The $\alpha$-domination number of $G$ equals the minimum cardinality of an $\alpha$-dominating se…