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A fast branching algorithm for cluster vertex deletion
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Boral, Anudhyan, Cygan, Marek, Kociumaka, Tomasz and Pilipczuk, Marcin (2014) A fast branching algorithm for cluster vertex deletion. In: Hirsch, Edward A. and Kuznetsov, Sergei O. and Pin , Jean Eric and Vereshchagin, Nikolai Konstantinovich, 1958-, (eds.) Computer Science - Theory and Applications: Proceedings of 9th International Computer Science Symposium in Russia, CSR 2014, Moscow, Russia, June 7-11, 2014. Lecture Notes in Computer Science (8476). Berlin: Springer International, pp. 111-124. ISBN 9783319066851
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Official URL: http://dx.doi.org/10.1007/978-3-319-06686-8_9
Abstract
In the family of clustering problems we are given a set of objects (vertices of the graph), together with some observed pairwise similarities (edges). The goal is to identify clusters of similar objects by slightly modifying the graph to obtain a cluster graph (disjoint union of cliques).
Hüffner et al. [LATIN 2008, Theory Comput. Syst. 2010] initiated the parameterized study of Cluster Vertex Deletion, where the allowed modification is vertex deletion, and presented an elegant O(2kk9+nm)-time fixed-parameter algorithm, parameterized by the solution size. In the last 5 years, this algorithm remained the fastest known algorithm for Cluster Vertex Deletion and, thanks to its simplicity, became one of the textbook examples of an application of the iterative compression principle. In our work we break the 2 k -barrier for Cluster Vertex Deletion and present an O(1.9102k(n+m))-time branching algorithm.
| Item Type: | Book Item | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science > Computer Science | ||||
| Library of Congress Subject Headings (LCSH): | Cluster analysis | ||||
| Series Name: | Lecture Notes in Computer Science | ||||
| Publisher: | Springer International | ||||
| Place of Publication: | Berlin | ||||
| ISBN: | 9783319066851 | ||||
| ISSN: | 0302-9743 | ||||
| Book Title: | Computer Science - Theory and Applications: Proceedings of 9th International Computer Science Symposium in Russia, CSR 2014, Moscow, Russia, June 7-11, 2014 | ||||
| Editor: | Hirsch, Edward A. and Kuznetsov, Sergei O. and Pin , Jean Eric and Vereshchagin, Nikolai Konstantinovich, 1958- | ||||
| Official Date: | 2014 | ||||
| Dates: |
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| Number: | 8476 | ||||
| Page Range: | pp. 111-124 | ||||
| DOI: | 10.1007/978-3-319-06686-8_9 | ||||
| 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) | ||||
| Grant number: | N206567140 (NCN) |
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