Marx, Dániel and Végh, László A. ORCID: 0000-0003-1152-200X
(2013)
*Fixed-parameter algorithms for minimum cost edge-connectivity augmentation.*
In: Fomin, Fedor V., Freivalds, Rūsiņš, Kwiatkowska, Marta and Peleg, David, (eds.)
Automata, Languages, and Programming: 40th International Colloquium, Icalp 2013, Riga, Latvia, July 8-12, 2013.
Lecture notes in computer science (7965).
Springer-Verlag, Berlin, pp. 721-732.
ISBN 9783642392054

## Abstract

We consider connectivity-augmentation problems in a setting where each potential new edge has a nonnegative cost associated with it, and the task is to achieve a certain connectivity target with at most p new edges of minimum total cost. The main result is that the minimum cost augmentation of edge-connectivity from k − 1 to k with at most p new edges is fixed-parameter tractable parameterized by p and admits a polynomial kernel. We also prove the fixed-parameter tractability of increasing edge-connectivity from 0 to 2, and increasing node-connectivity from 1 to 2.

Item Type: | Book Section |
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Official URL: | http://link.springer.com/bookseries/558 |

Additional Information: | © 2013 Springer-Verlag |

Divisions: | Management |

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

Date Deposited: | 05 Aug 2013 08:20 |

Last Modified: | 20 Sep 2021 02:27 |

URI: | http://eprints.lse.ac.uk/id/eprint/51380 |

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