2023/06/21 by González, Nicolle, Harris, Pamela E., Kirby, Gordon Rojas +2 · 1 citation
#05A05 (Primary) #05A15 (Secondary) #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2306.12158
Given a Stirling permutation w, we introduce the mesa set of w as the natural generalization of the pinnacle set of a permutation. Our main results characterize admissible mesa sets and give closed enumerative formulas in terms of rational Catalan numbers by providing an explicit bijection between mesa sets and rational Dyck paths.