Abstract
In the Connected Dominating Set (CDS) problem we are given a graph G and seek a min-size dominating set S 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 O(log2n⋅loglogn⋅(logloglogn)3). We also show that the Subset Steiner CDS problem is approximation equivalent to the Group Steiner Tree problem.
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