Add to ORKGTwo combinatorial statistics, the pyramid weight and the number of exterior pairs, are investigated on the set of Dyck paths. Explicit formulae are given for the generating functions of Dyck paths of prescribed pyramid weight and prescribed number of exterior pairs. The proofs are combinatorial and rely on the method of q-grammars as well as on two new q-analogues of the Catalan numbers derived from statistics on noncrossing partitions. Connections with the combinatorics of Motzkin paths are pointed out
International audienceWe investigate new equivalence relations on the set $\mathcal{D}_n$ of Dyck pa...
International audienceWe investigate new equivalence relations on the set D of Dyck paths relatively...
International audienceWe investigate new equivalence relations on the set D of Dyck paths relatively...
AbstractTwo combinatorial statistics, the pyramid weight and the number of exterior pairs, are inves...
The number of down-steps between pairs of up-steps in kt-Dyck paths, a generalization of Dyck paths ...
The number of down-steps between pairs of up-steps in kt-Dyck paths, a generalization of Dyck paths ...
The number of down-steps between pairs of up-steps in kt-Dyck paths, a generalization of Dyck paths ...
AMS Subject Classication: 05A15, 05A05 Abstract. In this paper we introduce a new bijection from the...
The number of down-steps between pairs of up-steps in kt-Dyck paths, a generalization of Dyck paths ...
AMS Subject Classification: 05A15, 05A05 Abstract. In this paper we introduce a new bijection from t...
ABSTRACT: In the present paper we consider the statistic \number of udu's " in Dyck paths....
The number of down-steps between pairs of up-steps in $k_t$-Dyck paths, ageneralization of Dyck path...
AbstractThe Catalan numbers occur ubiquitously in combinatorics. R. Stanley’s book Enumerative Combi...
22 pages, 3 figures, 2 tablesWe introduce and study the new combinatorial class of Dyck paths with a...
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...
International audienceWe investigate new equivalence relations on the set D of Dyck paths relatively...
International audienceWe investigate new equivalence relations on the set D of Dyck paths relatively...
AbstractTwo combinatorial statistics, the pyramid weight and the number of exterior pairs, are inves...
The number of down-steps between pairs of up-steps in kt-Dyck paths, a generalization of Dyck paths ...
The number of down-steps between pairs of up-steps in kt-Dyck paths, a generalization of Dyck paths ...
The number of down-steps between pairs of up-steps in kt-Dyck paths, a generalization of Dyck paths ...
AMS Subject Classication: 05A15, 05A05 Abstract. In this paper we introduce a new bijection from the...
The number of down-steps between pairs of up-steps in kt-Dyck paths, a generalization of Dyck paths ...
AMS Subject Classification: 05A15, 05A05 Abstract. In this paper we introduce a new bijection from t...
ABSTRACT: In the present paper we consider the statistic \number of udu's " in Dyck paths....
The number of down-steps between pairs of up-steps in $k_t$-Dyck paths, ageneralization of Dyck path...
AbstractThe Catalan numbers occur ubiquitously in combinatorics. R. Stanley’s book Enumerative Combi...
22 pages, 3 figures, 2 tablesWe introduce and study the new combinatorial class of Dyck paths with a...
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...
International audienceWe investigate new equivalence relations on the set D of Dyck paths relatively...
International audienceWe investigate new equivalence relations on the set D of Dyck paths relatively...