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    Exact computation of maximum induced forest

    Razgon, Igor (2006) Exact computation of maximum induced forest. In: Arge, L. and Freivalds, R. (eds.) SWAT 2006: Algorithm Theory. Lecture Notes in Computer Science 4059. Springer, pp. 160-171. ISBN 9783540357537.

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    We propose a backtrack algorithm that solves a generalized version of the Maximum Induced Forest problem (MIF) in time O∗(1.8899n). The MIF problem is complementary to finding a minimum Feedback Vertex Set (FVS), a well-known intractable problem. Therefore the proposed algorithm can find a minimum FVS as well. To the best of our knowledge, this is the first algorithm that breaks the O∗(2n) barrier for the general case of FVS. Doing the analysis, we apply a more sophisticated measure of the problem size than the number of nodes of the underlying graph.


    Item Type: Book Section
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Sarah Hall
    Date Deposited: 11 Oct 2021 11:51
    Last Modified: 09 Aug 2023 12:52


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