Minimal factorizations of permutations into star transpositions

Author(s)
Irving, J.; Rattan, Amarpreet
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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 (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.
Date issued
2009-04
URI
http://hdl.handle.net/1721.1/96203
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
0012365X
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