Counting smaller trees in the Tamari order
We introduce new combinatorial objects, the interval-posets, that encode intervals of the Tamari lattice. We then find a combinatorial interpretation of the bilinear form that appears in the functional equation of Tamari intervals described by Chapoton. Thus, we retrieve this functional equation and...
Main Authors: | Grégory Chatel, Viviane Pons |
---|---|
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/12824/pdf |
Similar Items
-
Two bijections on Tamari Intervals
by: Frédéric Chapoton, et al.
Published: (2014-01-01) -
On a Subposet of the Tamari Lattice
by: Sebastian A. Csar, et al.
Published: (2012-01-01) -
An extension of Tamari lattices
by: Louis-François Préville-Ratelle, et al.
Published: (2015-01-01) -
Lattice structure of Grassmann-Tamari orders
by: Thomas McConville
Published: (2015-01-01) -
A lattice on decreasing trees : the metasylvester lattice
by: Viviane Pons
Published: (2015-01-01)