Annular noncrossing permutations and minimal transitive factorizations

Details Annular noncrossing permutations and minimal transitive factorizations Annular noncrossing permutations and minimal transitive factorizations

2012-01-27

arxiv.org/abs/1201.5703v2

Mathematics

Combinatorics

13 pages, 3 Figures

Scientific paper

We give two combinatorial proofs 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 $B$.

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