Enumerating runs, valleys, and peaks in Catalan wordsBaril, Jean-Luc (Avtor) Harris, Pamela (Avtor) Harry, Kimberly (Avtor) McClinton, Matt (Avtor) Ramírez, José L. (Avtor) Catalan wordgenerating functioncombinatorial statisticDyck pathWe provide generating functions, formulas, and asymptotic expressions for the number of Catalan words based on the number of runs of ascents (descents), runs of weak ascents (descents), l-valleys, valleys, symmetric valleys, l-peaks, peaks, and symmetric peaks. We also establish some bijections with restricted Dyck paths and ordered trees that transports some statistics.Založba Univerze na Primorskem20252025-11-03 11:49:20Članek v reviji22070sl