Pattern-avoiding Dyck paths
We introduce the notion of $\textit{pattern}$ in the context of lattice paths, and investigate it in the specific case of Dyck paths. Similarly to the case of permutations, the pattern-containment relation defines a poset structure on the set of all Dyck paths, which we call the $\textit{Dyck patter...
Main Authors: | Antonio Bernini, Luca Ferrari, Renzo Pinzani, Julian West |
---|---|
Format: | Article |
Language: | English |
Published: |
Discrete Mathematics & Theoretical Computer Science
2013-01-01
|
Series: | Discrete Mathematics & Theoretical Computer Science |
Subjects: | |
Online Access: | https://dmtcs.episciences.org/2334/pdf |
Similar Items
-
The location of the first maximum in the first sojourn of a Dyck path
by: Helmut Prodinger
Published: (2008-01-01) -
Dyck path triangulations and extendability (extended abstract)
by: Cesar Ceballos, et al.
Published: (2015-01-01) -
Proofs of two conjectures of Kenyon and Wilson on Dyck tilings
by: Jang Soo Kim
Published: (2012-01-01) -
Some equinumerous pattern-avoiding classes of permutations
by: M. D. Atkinson
Published: (2005-01-01) -
Dyck tilings, linear extensions, descents, and inversions
by: Jang Soo Kim, et al.
Published: (2012-01-01)