Abstract
We derive a multivariate generating function which counts signed permutations by their cycle type and to other descent statistics, analogous to a result of Gessel and Reutenauer [4,5] for (unsigned) permutations. The derivation uses a bijection which is the hyperoctahedral analogue of Gessel’s necklace bijection.
Original language | English (US) |
---|---|
Pages (from-to) | 569-579 |
Number of pages | 11 |
Journal | European Journal of Combinatorics |
Volume | 14 |
Issue number | 6 |
DOIs | |
State | Published - Nov 1993 |