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    Minimal factorizations of permutations into star transpositions

    Irving, J. and Rattan, Amarpreet (2009) Minimal factorizations of permutations into star transpositions. Discrete Mathematics 309 (6), pp. 1435-1442. ISSN 0012365X.

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    Abstract

    We give a compact expression for the number of factorizations of any permutation into a minimal number of transpositions of the form (excluded due to format error) source. This generalizes earlier work of Pak in which substantial restrictions were placed on the permutation being factored. Our result exhibits an unexpected and simple symmetry of star factorizations that has yet to be explained in a satisfactory manner.

    Metadata

    Item Type: Article
    Keyword(s) / Subject(s): Factorizations, permutations, star transpositions, symmetrical group
    School: Birkbeck Schools and Departments > School of Business, Economics & Informatics > Economics, Mathematics and Statistics
    Depositing User: Administrator
    Date Deposited: 01 Dec 2010 12:24
    Last Modified: 22 Aug 2016 15:17
    URI: http://eprints.bbk.ac.uk/id/eprint/2890

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