Improved algorithms for bicluster editing

  • Authors:
  • Jiong Guo;Falk Hüffner;Christian Komusiewicz;Yong Zhang

  • Affiliations:
  • Institut für Informatik, Friedrich-Schiller-Universität Jena, Jena, Germany;Institut für Informatik, Friedrich-Schiller-Universität Jena, Jena, Germany;Institut für Informatik, Friedrich-Schiller-Universität Jena, Jena, Germany;Department of Mathematical Sciences, Eastern Mennonite University, Harrisonburg, VA

  • Venue:
  • TAMC'08 Proceedings of the 5th international conference on Theory and applications of models of computation
  • Year:
  • 2008

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Abstract

The NP-hard BICLUSTER EDITING is to add or remove at most k edges to make a bipartite graph G = (V, E) a vertex-disjoint union of complete bipartite subgraphs. It has applications in the analysis of gene expression data. We show that by polynomial-time preprocessing, one can shrink a problem instance to one with 4k vertices, thus proving that the problem has a linear kernel, improving a quadratic kernel result. We further give a search tree algorithm that improves the running time bound from the trivial O(4k + |E|) to O(3.24k + |E|). Finally, we give a randomized 4-approximation, improving a known approximation with factor 11.