2 papers
math.CO2022
Some statistics on generalized Motzkin paths with vertical steps
Yidong Sun, Di Zhao, Wenle Shi +1
Recently, several authors have considered lattice paths with various steps, including vertical steps permitted. In this paper, we consider a kind of generalized Motzkin paths, call…
math.CO2021
Symmetric and asymmetric peaks or valleys in (partial) Dyck paths
Yidong Sun, Wenle Shi, Di Zhao
The concepts of symmetric and asymmetric peaks in Dyck paths were introduced by Flórez and Ram\'ırez, who counted the total number of such peaks over all Dyck paths of a given leng…