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• W2153264420 abstract "We study a directed network design problem called the k-(S, T )-connectivity problem; we design and analyze approximation algorithms and give hardness results. For each positive integer k, the minimum cost k-vertex connected spanning subgraph problem is a special case of the k(S, T )-connectivity problem. We defer precise statements of the problem and of our results to the introduction. For k = 1, we call the problem the (S, T )-connectivity problem. We study three variants of the problem: the standard (S, T )-connectivity problem, the relaxed (S, T )-connectivity problem, and the unrestricted (S, T )-connectivity problem. We give hardness results for these three variants. We design a 2-approximation algorithm for the standard (S, T )-connectivity problem. We design tight approximation algorithms for the relaxed (S, T )-connectivity problem and one of its special cases. For any k, we give an O(log k log n)-approximation algorithm, where n denotes the number of vertices. The approximation guarantee almost matches the best approximation guarantee known for the minimum cost k-vertex connected spanning subgraph problem which is O(log k log n n−k ) due to Nutov in 2009 [62]." @default.
• W2153264420 created "2016-06-24" @default.
• W2153264420 creator A5005632876 @default.
• W2153264420 date "2010-08-03" @default.
• W2153264420 modified "2023-09-27" @default.
• W2153264420 title "Approximation Algorithms for (S,T)-Connectivity Problems" @default.
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• W2153264420 hasPublicationYear "2010" @default.
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