Minimal factorizations of permutations into star transpositions
Name
Irving-2009-Minimal factorizatio.pdf
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546.95 KB
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Author(s)
Irving, J.
Rattan, Amarpreet
Date Issued
April 2009
Journal
Discrete Mathematics
Publisher
Elsevier B.V.
Citation
Irving, J., and A. Rattan. “Minimal Factorizations of Permutations into Star Transpositions.” Discrete Mathematics 309, no. 6 (April 2009): 1435–1442. © 2008 Elsevier B.V.
Version
Final published version
Abstract
We give a compact expression for the number of factorizations of any permutation into a minimal number of transpositions of the form (1 i). 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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1016/j.disc.2008.02.018
