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Approximating minimum-cost k-node connected subgraphs via independence-free graphs

Cheriyan, Joseph and Végh, László A. ORCID: 0000-0003-1152-200X (2013) Approximating minimum-cost k-node connected subgraphs via independence-free graphs. In: FOCS 2013 - 54th Annual Symposium on Foundations of Computer Science, 2013-10-27 - 2013-10-29, Berkeley CA, United States, USA.

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We present a 6-approximation algorithm for the minimum-cost k-node connected spanning subgraph problem, assuming that the number of nodes is at least k^3(k-1)+k. We apply a combinatorial preprocessing, based on the Frank-Tardos algorithm for k-outconnectivity, to transform any input into an instance such that the iterative rounding method gives a 2-approximation guarantee. This is the first constant-factor approximation algorithm even in the asymptotic setting of the problem, that is, the restriction to instances where the number of nodes is lower bounded by a function of k.

Item Type: Conference or Workshop Item (Paper)
Additional Information: © 2013 The Authors
Divisions: Mathematics
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Date Deposited: 03 Dec 2014 10:30
Last Modified: 16 May 2024 11:08

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