2014/02/12 by Kevin Dilks, Dilks, Kevin · 1 citation
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO
paper · pdf · doi:10.48550/arxiv.1402.2961
27 pages
arxiv created 2014/02/12 · arxiv updated 2014/02/13
Baxter numbers are known to count several families of combinatorial objects, all of which come equipped with natural involutions. In this paper, we add a combinatorial family to the list, and show that the known bijections between these objects respect these involutions. We also give a formula for the number of objects fixed under this involution, showing that it is an instance of Stembridge's "q=-1 phenomenon".