English

$M$-Shellability of Discrete Polymatroids

Combinatorics 2010-12-07 v1

Abstract

In this note we show that every discrete polymatroid is MM-shellable. This gives, in a partial case, a positive answer to a conjecture of Chari and improves a recent result of Schweig where he proved that the hh-vector of a lattice path matroid satisfies a conjecture of Stanley.

Cite

@article{arxiv.1012.1075,
  title  = {$M$-Shellability of Discrete Polymatroids},
  author = {Majid Alizadeh and Afshin Goodarzi and Siamak Yassemi},
  journal= {arXiv preprint arXiv:1012.1075},
  year   = {2010}
}

Comments

4 pages

R2 v1 2026-06-21T16:53:50.640Z