Minimal transitive factorizations of a permutation of type (p, q)

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초록

We give a combinatorial proof of Goulden and Jackson's formula for the number of minimal transitive factorizations of a permutation when the permutation has two cycles. We use the recent result of Goulden, Nica, and Oancea on the number of maximal chains of annular noncrossing partitions of type B. © 2012 Discrete Mathematics and Theoretical Computer Science (DMTCS), Nancy, France.

키워드

Annular noncrossing partitionsBijective proofMinimal transitive factorizations
제목
Minimal transitive factorizations of a permutation of type (p, q)
저자
Kim, Jang-sooSeo, SeunghyunShin, Heesung
발행일
2012
유형
Conference paper
저널명
Discrete Mathematics and Theoretical Computer Science
페이지
673 ~ 682