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Fixed-parameter algorithms for minimum cost edge-connectivity augmentation

Marx, Dániel and Végh, László A. (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

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Identification Number: 10.1007/978-3-642-39206-1_61

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
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
Sets: Departments > Management
Date Deposited: 05 Aug 2013 08:20
Last Modified: 20 Feb 2019 06:07
URI: http://eprints.lse.ac.uk/id/eprint/51380

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