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    The equivalence of Two Graph Polynomials and a Symmetric Function

    Merino, C. and Noble, Steven (2009) The equivalence of Two Graph Polynomials and a Symmetric Function. Combinatorics, Probability and Computing 18 (4), pp. 601-615. ISSN 0963-5483.

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    The U-polynomial, the polychromate and the symmetric function generalization of the Tutte polynomial, due to Stanley, are known to be equivalent in the sense that the coefficients of any one of them can be obtained as a function of the coefficients of any other. The definition of each of these functions suggests a natural way in which to strengthen them, which also captures Tutte's universal V-function as a specialization. We show that the equivalence remains true for the strong functions, thus answering a question raised by Dominic Welsh.


    Item Type: Article
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Administrator
    Date Deposited: 06 Jan 2023 16:20
    Last Modified: 09 Aug 2023 12:54


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