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- W1965957777 abstract "In the -subgraph problem, we are given an undirected graph with edge costs and two positive integers and , and the goal is to find a minimum cost simple -edge-connected subgraph of with at least nodes. This generalizes several classical problems, such as the minimum cost -spanning tree problem, or -MST (which is a -subgraph), and the minimum cost -edge-connected spanning subgraph (which is a -subgraph). The only previously known results on this problem [L. C. Lau, J. S. Naor, M. R. Salavatipour and M. Singh, SIAM J. Comput., 39 (2009), pp. 1062–1087], [C. Chekuri and N. Korula, in Proceedings of the IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS), Bangalore, India, LIPIcs 2, Schloss Dagstuhl—Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2008, pp. 119–130] show that the -subgraph problem has an -approximation (even for 2-node-connectivity) and that the -subgraph problem in general is almost as hard as the densest -subgraph problem. In this paper we show that if the edge costs are metric (i.e., satisfy the triangle inequality), like in the -MST problem, then there is an -approximation algorithm for the -subgraph problem. This essentially generalizes the -MST constant factor approximability to higher connectivity." @default.
- W1965957777 created "2016-06-24" @default.
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- W1965957777 date "2011-01-01" @default.
- W1965957777 modified "2023-09-26" @default.
- W1965957777 title "A Constant Factor Approximation for Minimum λ-Edge-Connected k-Subgraph with Metric Costs" @default.
- W1965957777 doi "https://doi.org/10.1137/080729918" @default.
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