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arXiv · 1912.09662

An $\tilde{O}(\log^2 n)$-approximation algorithm for $2$-edge-connected dominating set

Amir Belgi·Zeev Nutov
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Abstract

In the Connected Dominating Set problem we are given a graph $G=(V,E)$ and seek a minimum size dominating set $S \subseteq V$ such that the subgraph $G[S]$ of $G$ induced by $S$ is connected. In the $2$-Edge-Connected Dominating Set problem $G[S]$ should be $2$-edge-connected. We give the first non-trivial approximation algorithm for this problem, with expected approximation ratio $\tilde{O}(\log^2n)$.

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Amir Belgi, Zeev Nutov. 2019-12-20. An $\tilde{O}(\log^2 n)$-approximation algorithm for $2$-edge-connected dominating set. https://arxiv.org/abs/1912.09662

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