Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6423480 | Discrete Mathematics | 2012 | 9 Pages |
Abstract
The number of minimal transitive star factorizations of a permutation was shown by Irving and Rattan to depend only on the conjugacy class of the permutation, a surprising result given that the pivot plays a very particular role in such factorizations. Here, we explain this symmetry and provide a bijection between minimal transitive star factorizations of a permutation Ï having pivot k and those having pivot kâ².
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Bridget Eileen Tenner,