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    On zeros of the characteristic polynomial of matroids of bounded tree-width

    Chun, C. and Hall, R. and Merino, C. and Noble, Steven (2016) On zeros of the characteristic polynomial of matroids of bounded tree-width. Technical Report. Birkbeck, University of London, London, UK.

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    Abstract

    We develop some basic tools to work with representable matroids of bounded tree-width and use them to prove that, for any prime power q and constant k, the characteristic polynomial of any loopless, GF(q)- representable matroid with tree-width k has no real zero greater than qk−1.

    Metadata

    Item Type: Monograph (Technical Report)
    Additional Information: Birkbeck Pure Mathematics Preprint Series #26
    School: School of Business, Economics & Informatics > Economics, Mathematics and Statistics
    Depositing User: Administrator
    Date Deposited: 22 Mar 2019 13:16
    Last Modified: 13 Jun 2021 09:29
    URI: https://eprints.bbk.ac.uk/id/eprint/26752

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