Abstract
We introduce permutrees, a unified model for permutations, binary trees, Cambrian trees and binary sequences. In this extended abstract, we summarize our main results describing combinatorial and geometric properties of permutrees, in particular the permutree lattices (specializing to the weak order, the Tamari, the Cambrian and the boolean lattice) and permutreehedra (specializing to the permutahedron, the associahedra, and the cube).
| Original language | English |
|---|---|
| Pages (from-to) | 987-993 |
| Number of pages | 7 |
| Journal | Electronic Notes in Discrete Mathematics |
| Volume | 61 |
| DOIs | |
| Publication status | Published - 1 Aug 2017 |
Keywords
- Associahedron
- Binary trees
- Cambrian trees
- Hopf Algebra
- Permutahedron
- Symmetric group
- Tamari lattice
Fingerprint
Dive into the research topics of 'Permutrees'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver