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    Treewidth reduction for constrained separation and bipartization problems

    Marx, D. and O'Sullivan, B. and Razgon, Igor (2010) Treewidth reduction for constrained separation and bipartization problems. In: Marion, J.-Y. and Schwentick, T. (eds.) 27th International Symposium on Theoretical Aspects of Computer Science. Leibniz International Proceedings in Informatics. Dagstuhl, Germany: Schloss Dagstuhl, pp. 561-572. ISBN 9783939897163.

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    We present a method for reducing the treewidth of a graph while preserving all the minimal $s-t$ separators. This technique turns out to be very useful for establishing the fixed-parameter tractability of constrained separation and bipartization problems. To demonstrate the power of this technique, we prove the fixed-parameter tractability of a number of well-known separation and bipartization problems with various additional restrictions (e.g., the vertices being removed from the graph form an independent set). These results answer a number of open questions in the area of parameterized complexity.


    Item Type: Book Section
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Sarah Hall
    Date Deposited: 01 Aug 2013 15:27
    Last Modified: 09 Aug 2023 12:34


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