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An involution on Dyck paths and its consequences

โœ Scribed by Emeric Deutsch


Book ID
108316320
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
159 KB
Volume
204
Category
Article
ISSN
0012-365X

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A bijection on Dyck paths and its conseq
โœ Emeric Deutsch ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.