AbstractA bijection is introduced in the set of all Dyck paths of semilength n from which it follows that (i) the parameters ‘height of the first peak’ and ‘number of returns’ have the same distribution and (ii) the parameter ‘number of high peaks’ has the Narayana distribution
We find a bijection between bi-banded paths and peak-counting paths, applying to two classes of latt...
Dyck paths having height at most $h$ and without valleys at height $h-1$ are combinatorially interpr...
AbstractAn involution is introduced in the set of all Dyck paths of semilength n from which one re-o...
AbstractA bijection is introduced in the set of all Dyck paths of semilength n from which it follows...
AbstractAn involution is introduced in the set of all Dyck paths of semilength n from which one re-o...
We show that the distribution of the number of peaks at height $i$ modulo $k$ in $k$-Dyck paths of a...
AbstractAn elementary technique is used for the enumeration of Dyck paths according to various param...
AbstractThe sum of the areas of (2n+2)-length Dyck paths, or total area, is equal to the number of p...
It is known that both the number of Dyck paths with 2n steps and k peaks, and the number of Dyck pat...
AbstractThe statistics concerning the number of appearances of a string τ in Dyck paths as well as i...
AbstractThe sum of the areas of (2n+2)-length Dyck paths, or total area, is equal to the number of p...
AbstractIn this paper we study the number of humps (peaks) in Dyck, Motzkin and Schröder paths. Rece...
The number of down-steps between pairs of up-steps in $k_t$-Dyck paths, a generalization of Dyck pat...
AbstractIn this paper we study the number of humps (peaks) in Dyck, Motzkin and Schröder paths. Rece...
We find a bijection between bi-banded paths and peak-counting paths, applying to two classes of latt...
We find a bijection between bi-banded paths and peak-counting paths, applying to two classes of latt...
Dyck paths having height at most $h$ and without valleys at height $h-1$ are combinatorially interpr...
AbstractAn involution is introduced in the set of all Dyck paths of semilength n from which one re-o...
AbstractA bijection is introduced in the set of all Dyck paths of semilength n from which it follows...
AbstractAn involution is introduced in the set of all Dyck paths of semilength n from which one re-o...
We show that the distribution of the number of peaks at height $i$ modulo $k$ in $k$-Dyck paths of a...
AbstractAn elementary technique is used for the enumeration of Dyck paths according to various param...
AbstractThe sum of the areas of (2n+2)-length Dyck paths, or total area, is equal to the number of p...
It is known that both the number of Dyck paths with 2n steps and k peaks, and the number of Dyck pat...
AbstractThe statistics concerning the number of appearances of a string τ in Dyck paths as well as i...
AbstractThe sum of the areas of (2n+2)-length Dyck paths, or total area, is equal to the number of p...
AbstractIn this paper we study the number of humps (peaks) in Dyck, Motzkin and Schröder paths. Rece...
The number of down-steps between pairs of up-steps in $k_t$-Dyck paths, a generalization of Dyck pat...
AbstractIn this paper we study the number of humps (peaks) in Dyck, Motzkin and Schröder paths. Rece...
We find a bijection between bi-banded paths and peak-counting paths, applying to two classes of latt...
We find a bijection between bi-banded paths and peak-counting paths, applying to two classes of latt...
Dyck paths having height at most $h$ and without valleys at height $h-1$ are combinatorially interpr...
AbstractAn involution is introduced in the set of all Dyck paths of semilength n from which one re-o...
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