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On group feedback Vertex Set parameterized by the size of the cutset
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Cygan, Marek, Pilipczuk, Marcin and Pilipczuk, Michał (2016) On group feedback Vertex Set parameterized by the size of the cutset. Algorithmica, 74 (2). pp. 630-642. doi:10.1007/s00453-014-9966-5
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Official URL: http://dx.doi.org/10.1007/s00453-014-9966-5
Abstract
We study parameterized complexity of a generalization of the classical Feedback Vertex Set problem, namely the Group Feedback Vertex Set problem: we are given a graph G with edges labeled with group elements, and the goal is to compute the smallest set of vertices that hits all cycles of G that evaluate to a non-null element of the group. This problem generalizes not only Feedback Vertex Set, but also Subset Feedback Vertex Set, Multiway Cut and Odd Cycle Transversal . Completing the results of Guillemot (Discrete Optim 8(1):61–71, 2011), we provide a fixed-parameter algorithm for the parameterization by the size of the cutset only. Our algorithm works even if the group is given as a blackbox performing group operations.
| Item Type: | Journal Article | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software | ||||||||
| Divisions: | Faculty of Science > Computer Science | ||||||||
| Library of Congress Subject Headings (LCSH): | Computational complexity, Vertex operator algebras | ||||||||
| Journal or Publication Title: | Algorithmica | ||||||||
| Publisher: | Springer Verlag | ||||||||
| ISSN: | 0178-4617 | ||||||||
| Official Date: | February 2016 | ||||||||
| Dates: |
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| Date of first compliant deposit: | 28 December 2015 | ||||||||
| Volume: | 74 | ||||||||
| Number: | 2 | ||||||||
| Page Range: | pp. 630-642 | ||||||||
| DOI: | 10.1007/s00453-014-9966-5 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
| Funder: | Narodowe Centrum Nauki (NCN), Fundacja na rzecz Nauki Polskiej [Foundation for Polish Science] (FNP), European Research Council (ERC), Seventh Framework Programme (European Commission) (FP7) | ||||||||
| Grant number: | N206567140 (NCN), 267959 (MRC) | ||||||||
| Embodied As: | 1 |
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