A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf
.
Bijections for Baxter families and related objects
2011
Journal of combinatorial theory. Series A
The Baxter number B n can be written as B n = n k=0 Θ k,n−k−1 with These numbers have first appeared in the enumeration of so-called Baxter permutations; B n is the number of Baxter permutations of size n, and Θ k, is the number of Baxter permutations with k descents and rises. With a series of bijections we identify several families of combinatorial objects counted by the numbers Θ k, . Apart from Baxter permutations, these include plane bipolar orientations with k + 2 vertices and + 2 faces,
doi:10.1016/j.jcta.2010.03.017
fatcat:l4kpf5aggnb5beocsyj77qsjmu