AbstractAn involution is introduced in the set of all Dyck paths of semilength n from which one re-obtains easily the equidistribution of the parameters ‘number of valleys’ and ‘number of doublerises’ and also the equidistribution of the parameters ‘height of the first peak’ and ‘number of returns’
AbstractIt is well known (see [3, 6, 9, 10, 11]) that Dyck paths are in bijection with “Dyck words”,...
International audienceWe study the relationship between rational slope Dyck paths and invariant subs...
The Lalanneâ Kreweras involution (LK) on Dyck paths yields a bijective proof of the symmetry of two...
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...
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...
AbstractA bijection is introduced in the set of all Dyck paths of semilength n from which it follows...
The number of down-steps between pairs of up-steps in $k_t$-Dyck paths, a generalization of Dyck pat...
AbstractThe sum of the areas of (2n+2)-length Dyck paths, or total area, is equal to the number of p...
AbstractThe main result of this paper is an algorithm which generates uniformly at random a Dyck pat...
AbstractIn this paper, we introduce a subclass of the Dyck paths (Delest and Viennot, 1984) called n...
AbstractThe statistics concerning the number of appearances of a string τ in Dyck paths as well as i...
International audienceWe investigate new equivalence relations on the set $\mathcal{D}_n$ of Dyck pa...
International audienceWe investigate new equivalence relations on the set $\mathcal{D}_n$ of Dyck pa...
AbstractIt is well known (see [3, 6, 9, 10, 11]) that Dyck paths are in bijection with “Dyck words”,...
International audienceWe study the relationship between rational slope Dyck paths and invariant subs...
The Lalanneâ Kreweras involution (LK) on Dyck paths yields a bijective proof of the symmetry of two...
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...
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...
AbstractA bijection is introduced in the set of all Dyck paths of semilength n from which it follows...
The number of down-steps between pairs of up-steps in $k_t$-Dyck paths, a generalization of Dyck pat...
AbstractThe sum of the areas of (2n+2)-length Dyck paths, or total area, is equal to the number of p...
AbstractThe main result of this paper is an algorithm which generates uniformly at random a Dyck pat...
AbstractIn this paper, we introduce a subclass of the Dyck paths (Delest and Viennot, 1984) called n...
AbstractThe statistics concerning the number of appearances of a string τ in Dyck paths as well as i...
International audienceWe investigate new equivalence relations on the set $\mathcal{D}_n$ of Dyck pa...
International audienceWe investigate new equivalence relations on the set $\mathcal{D}_n$ of Dyck pa...
AbstractIt is well known (see [3, 6, 9, 10, 11]) that Dyck paths are in bijection with “Dyck words”,...
International audienceWe study the relationship between rational slope Dyck paths and invariant subs...
The Lalanneâ Kreweras involution (LK) on Dyck paths yields a bijective proof of the symmetry of two...
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