arXiv Analytics

Sign in

arXiv:1702.06150 [math.CO]AbstractReferencesReviewsResources

Bijections for Dyck paths with all peak heights of the same parity

David Callan

Published 2017-02-20Version 1

We show bijectively that Dyck paths with all peaks at odd height are counted by the Motzkin numbers and Dyck paths with all peaks at even height are counted by the Riordan numbers.

Comments: 4 pages
Categories: math.CO
Subjects: 05A15, 05A19
Related articles: Most relevant | Search more
arXiv:1705.05984 [math.CO] (Published 2017-05-17)
A bijection between bargraphs and Dyck paths
arXiv:math/0611698 [math.CO] (Published 2006-11-22)
A bijection on Dyck paths and its cycle structure
arXiv:1010.5673 [math.CO] (Published 2010-10-27)
Exterior Pairs and Up Step Statistics on Dyck Paths

Links

Toolbox