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.

## Abstract

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) |
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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: | 13 Sep 2024 14:11 |

URI: | http://eprints.lse.ac.uk/id/eprint/56681 |

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