Cheriyan, Joseph and Végh, László A.
(2014)
*Approximating minimum-cost $k$-node connected subgraphs via independence-free graphs.*
SIAM Journal on Computing, 43 (4).
pp. 1342-1362.
ISSN 0097-5397

## 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: | Article |
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Official URL: | http://epubs.siam.org/loi/smjcat |

Additional Information: | © 2014 Society for Industrial and Applied Mathematics |

Divisions: | Management |

Subjects: | Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science |

Sets: | Departments > Management Research centres and groups > Operations Research Group |

Date Deposited: | 07 Oct 2014 11:34 |

Last Modified: | 20 May 2020 03:03 |

URI: | http://eprints.lse.ac.uk/id/eprint/59639 |

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