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Fixed-parameter algorithms for minimum-cost edge-connectivity augmentation

Marx, Dániel and Végh, László A. (2015) Fixed-parameter algorithms for minimum-cost edge-connectivity augmentation. ACM Transactions on Algorithms, 11 (4). p. 27. ISSN 1549-6325

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Identification Number: 10.1145/2700210

Abstract

We consider connectivity-augmentation problems in a setting where each potential new edge has a non-negative 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: Article
Official URL: http://talg.acm.org/index.cfm
Additional Information: © 2015 ACM
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Sets: Departments > Mathematics
Date Deposited: 09 Feb 2017 14:04
Last Modified: 30 Jan 2019 20:08
URI: http://eprints.lse.ac.uk/id/eprint/69225

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