Fixed-parameter algorithms for minimum cost edge-connectivity augmentation

Marx, Dániel and Végh, László (2013) Fixed-parameter algorithms for minimum cost edge-connectivity augmentation. LECTURE NOTES IN COMPUTER SCIENCE, 7965. pp. 721-732. ISSN 0302-9743

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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. © 2013 Springer-Verlag.

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