Going Weighted: Parameterized Algorithms for Cluster Editing

  • Authors:
  • Sebastian Böcker;Sebastian Briesemeister;Quang B. Bui;Anke Truss

  • Affiliations:
  • Lehrstuhl für Bioinformatik, Friedrich-Schiller-Universität Jena, Jena, Germany 07743;Div. for Simulation of Biological Systems, ZBIT/WSI, Eberhard Karls Universität Tübingen, Germany;Lehrstuhl für Bioinformatik, Friedrich-Schiller-Universität Jena, Jena, Germany 07743;Lehrstuhl für Bioinformatik, Friedrich-Schiller-Universität Jena, Jena, Germany 07743

  • Venue:
  • COCOA 2008 Proceedings of the 2nd international conference on Combinatorial Optimization and Applications
  • Year:
  • 2008

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Abstract

The goal of the Cluster Editingproblem is to make the fewest changes to the edge set of an input graph such that the resulting graph is a disjoint union of cliques. This problem is NP-complete but recently, several parameterized algorithms have been proposed. In this paper we present a surprisingly simple branching strategy for Cluster Editing. We generalize the problem assuming that edge insertion and deletion costs are positive integers. We show that the resulting search tree has size O(1.82k) for edit cost k, resulting in the currently fastest parameterized algorithm for this problem. We have implemented and evaluated our approach, and find that it outperforms other parametrized algorithms for the problem.