𝔖 Bobbio Scriptorium
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A Simple and Unusual Bijection for Dyck Paths and its Consequences

✍ Scribed by Sergi Elizalde; Emeric Deutsch


Book ID
105764631
Publisher
Springer
Year
2003
Tongue
English
Weight
265 KB
Volume
7
Category
Article
ISSN
0218-0006

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πŸ“œ SIMILAR VOLUMES


A bijection on Dyck paths and its conseq
✍ Emeric Deutsch πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 175 KB

A 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.

A Bijection on Ordered Trees and Its Con
✍ Emeric Deutsch πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 214 KB

A bijection is introduced in the set of all ordered trees having n edges from which one derives that, for each positive integer q, the parameters "number of nodes of degree q" and "number of odd-level nodes of degree q-1" are equidistributed.