Finding k-Connected Subgraphs with Minimum Average Weight
نویسندگان
چکیده
We consider the problems of finding k-connected spanning subgraphs with minimum average weight. We show that the problems are NP-hard for k > 1. Approximation algorithms are given for four versions of the minimum average edge weight problem: 1. 3-approximation for k-edge-connectivity, 2. O(logk) approximation for k-node-connectivity 3. 2+ approximation for k-node-connectivity in Euclidian graphs, for any constant > 0, 4. 5.8-approximation for k-node-connectivity in graphs satisfying the triangle inequality.
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