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On the outer-connected reinforcement and bondage problems in bipartite graphs: the algorithmic complexity

Maliheh Hashemipour; Mohammadreza Hooshmandasl; Ali Shakiba

Volume 51, Issue 2 , December 2019, , Pages 63-74

https://doi.org/10.22059/jac.2019.75163

Abstract
  An outer connected dominating(OCD) set of a graph $G=(V,E)$ is a set $\tilde{D} \subseteq V$ such that every vertex not in $S$ is adjacent to a vertex in $S$, and the induced subgraph of $G$ by $V \setminus \tilde{D}$, i.e. $G [V \setminus \tilde{D}]$, is connected. The OCD number of $G$ is the smallest ...  Read More