๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Generalized Dyck paths

โœ Scribed by Jacques Labelle; Yeong-Nan Yeh


Book ID
103060584
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
348 KB
Volume
82
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Dyck paths of knight moves
โœ Jacques Labelle; Yeong-Nan Yeh ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 287 KB
Two combinatorial statistics on Dyck pat
โœ Alain Denise; Rodica Simion ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 1003 KB

Two 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

Nondecreasing Dyck paths and q-Fibonacci
โœ E. Barcucci; A. Del Lungo; S. Fezzi; R. Pinzani ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 306 KB

In this paper, we introduce a subclass of the Dyck paths (Delest and Viennot, 1984) called nondecreasing Dyck paths which are enumerated by the Fibonacci numbers having odd indexes. We then use two different methods to enumerate these paths according to various parameters. By the first one, used in