English

A geometric approach to acyclic orientations

Combinatorics 2022-10-07 v1

Abstract

The set of acyclic orientations of a connected graph with a given sink has a natural poset structure. We give a geometric proof of a result of Jim Propp: this poset is the disjoint union of distributive lattices.

Keywords

Cite

@article{arxiv.0907.0046,
  title  = {A geometric approach to acyclic orientations},
  author = {Richard Ehrenborg and MLE Slone},
  journal= {arXiv preprint arXiv:0907.0046},
  year   = {2022}
}

Comments

5 pages, no figures. Accepted for publication in Order

R2 v1 2026-06-21T13:19:51.704Z