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2007

Parameterized Complexity of Vertex Cover Variants

9 years 7 months ago
Parameterized Complexity of Vertex Cover Variants
Important variants of the Vertex Cover problem (among others, Connected Vertex Cover, Capacitated Vertex Cover, and Maximum Partial Vertex Cover) have been intensively studied in terms of polynomial-time approximability. By way of contrast, their parameterized complexity has so far been completely open. We close this gap here by showing that, with the size of the desired vertex cover as parameter, Connected Vertex Cover and Capacitated Vertex Cover are both fixed-parameter tractable while Maximum Partial Vertex Cover is W[1]-complete. This answers two open questions from the literature. The results extend to several closely related problems. Interestingly, although the considered variants of Vertex Cover behave very similar in terms of constant-factor approximability, they display a wide range of different characteristics when investigating their parameterized complexities.
Jiong Guo, Rolf Niedermeier, Sebastian Wernicke
Added 27 Dec 2010
Updated 27 Dec 2010
Type Journal
Year 2007
Where MST
Authors Jiong Guo, Rolf Niedermeier, Sebastian Wernicke
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