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.
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Guo, J., Hüffner, F., Komusiewicz, C., Zhang, Y. (2008). Improved Algorithms for Bicluster Editing. In: Agrawal, M., Du, D., Duan, Z., Li, A. (eds) Theory and Applications of Models of Computation. TAMC 2008. Lecture Notes in Computer Science, vol 4978. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79228-4_39
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DOI: https://doi.org/10.1007/978-3-540-79228-4_39
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