English

Kostka semigroups and generalized Dyck paths

Combinatorics 2021-05-18 v1

Abstract

We prove a conjecture of S. Gao-J. Kiers-G. Orelowitz-A. Yong which asserts the reducibility of certain generalized Dyck paths. This gives a strengthening, and new proof, for their Width Bound Theorem on the Hilbert basis of the Kostka semigroup.

Keywords

Cite

@article{arxiv.2105.07015,
  title  = {Kostka semigroups and generalized Dyck paths},
  author = {Jaehyung Kim},
  journal= {arXiv preprint arXiv:2105.07015},
  year   = {2021}
}

Comments

14 pages

R2 v1 2026-06-24T02:07:38.976Z