Weak order complexes
Combinatorics
2007-05-23 v1
Abstract
The paper presents geometric models for the set WO of weak orders on a finite set. In particulary, WO is modeled as a set of vertices of a cubical subdivision of a permutahedron. This approach is an alternative to the usual representation of WO by means of weak order polytopes.
Cite
@article{arxiv.math/0403191,
title = {Weak order complexes},
author = {Sergei Ovchinnikov},
journal= {arXiv preprint arXiv:math/0403191},
year = {2007}
}