20.500.12556/RUP-22070 Enumerating runs, valleys, and peaks in Catalan words Naštevanje vzponov in spustov, dolin in vrhov v Catalanovih besedah We 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. Catalan word generating function combinatorial statistic Dyck path Catalanova beseda rodovna funkcija kombinatorna statistika Dyckova pot true false true Založba Univerze na Primorskem Angleški jezik Slovenski jezik Članek v reviji 2025-11-03 11:49:20 2025-11-03 11:49:21 2025-11-18 03:04:55 0000-00-00 00:00:00 2025 0 0 23 str. no. 2, [article no.] P2.07 Vol. 8 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2025-03-19 51 2590-9770 https://doi.org/10.26493/2590-9770.1794.fc5 ADAM_Baril,Harris,Harry,McClinton,Ramirez_2025.pdf ADAM_Baril,Harris,Harry,McClinton,Ramirez_2025.pdf 1 ABB7886C044FB40214AE0FDB45F9B466 d3021866e0b2b3539e2d7ff92edef3022588244abf4f2eb8fed984513a7d6295 50f77c12-b8a3-11f0-8f0b-005056ac49c0 https://repozitorij.upr.si/Dokument.php?lang=slv&id=32015 Založba Univerze na Primorskem 0 0 0