Séminaire Lotharingien de Combinatoire, B60a (2009), 13 pp.

Christian Stump

On Bijections Between 231-Avoiding Permutations and Dyck Paths

Abstract. We construct a bijection between 231-avoiding permutations and Dyck paths that sends the sum of the major index and the inverse major index of a 231-avoiding permutation to the major index of the corresponding Dyck path. Furthermore, we relate this bijection to others and exhibit a bistatistic on 231-avoiding permutations which is related to the q,t-Catalan numbers.

Received: May 12, 2008. Accepted: May 18, 2009. Final Version: September 8, 2009.

The following versions are available: