EL-Shelling on Comodernistic Lattices
Combinatorics
2019-07-26 v2
Abstract
We prove the equivalence of EL-shellability and the existence of recursive atom ordering independent of roots. We show that a comodernistic lattice, as defined by Schweig and Woodroofe, admits a recursive atom ordering independent of roots, therefore is EL-shellable. We also present and discuss a simpler EL-shelling on one of the most important classes of comodernistic lattice, the order congruence lattices.
Keywords
Cite
@article{arxiv.1907.06824,
title = {EL-Shelling on Comodernistic Lattices},
author = {Tiansi Li},
journal= {arXiv preprint arXiv:1907.06824},
year = {2019}
}