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    A weighted graph polynomial from chromatic invariants of knots

    Noble, Steven and Welsh, D.J.A. (1999) A weighted graph polynomial from chromatic invariants of knots. Annales de l'Institut Fourier 49 (3), pp. 1057-1087. ISSN 0373-0956.

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    Motivated by the work of Chmutov, Duzhin and Lando on Vassiliev invariants, we define a polynomial on weighted graphs which contains as specialisations the weighted chromatic invariants but also contains many other classical invariants including the Tutte and matching polynomials. It also gives the symmetric function generalisation of the chromatic polynomial introduced by Stanley. We study its complexity and prove hardness results for very restricted classes of graphs.


    Item Type: Article
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Sarah Hall
    Date Deposited: 20 Jul 2020 13:57
    Last Modified: 09 Aug 2023 12:48


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