From the 1 of 3 linked papers with an AI index.
3 papers
math.CO2026
The height of skew Dyck paths with two variants of downsteps
Helmut Prodinger
The paper analyzes skew Dyck paths that include two different down‑step types, using generating functions, the kernel method, and linear systems to enumerate these paths and determ…
math.CO2026
The height of Dyck paths and checkerboard labellings
Helmut Prodinger
Dyck paths and certain black/white labelling of nodes leads to the \emph{white-height}. Using generating functions and tricks of the trade, we establish that the average white-heig…
math.CO2025
Skew 2-Dyck paths via the kernel method
Helmut Prodinger
We continue on a recent concept introduced by Kariuki and Okoth, about skew 2-Dyck paths, introducing an additional down-step , together with the usual steps (up) and do…