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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© 2021 Elsevier B.V.
- Approximation algorithms
- Dominating set