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    Fractional covers of Hypergraphs with bounded multi-intersection

    Gottlob, G. and Lanzinger, M. and Pichler, R. and Razgon, Igor (2020) Fractional covers of Hypergraphs with bounded multi-intersection. In: 45th International Symposium on Mathematical Foundations of Computer Science (MFCS 2020), 24-28 Oct 2020, Prague, Czech Republic.

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    Abstract

    Fractional (hyper-)graph theory is concerned with the specific problems that arise when fractional analogues of otherwise integer-valued (hyper-)graph invariants are considered. The focus of this paper is on fractional edge covers of hypergraphs. Our main technical result generalizes and unifies previous conditions under which the size of the support of fractional edge covers is bounded independently of the size of the hypergraph itself. This allows us to extend previous tractability results for checking if the fractional hypertree width of a given hypergraph is ≤ k for some constant k. We also show how our results translate to fractional vertex covers.

    Metadata

    Item Type: Conference or Workshop Item (Paper)
    Additional Information: Leibniz International Proceedings in Informatics (LIPIcs) v.170, ISBN: 9783959771597, ISSN: 1868-8969
    School: School of Business, Economics & Informatics > Computer Science and Information Systems
    Depositing User: Igor Razgon
    Date Deposited: 26 Oct 2020 08:28
    Last Modified: 18 Jun 2021 09:39
    URI: https://eprints.bbk.ac.uk/id/eprint/40897

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