English

Gorenstein graphic matroids from multigraphs

Combinatorics 2020-07-02 v3 Commutative Algebra

Abstract

A matroid is Gorenstein if its toric variety is. Hibi, Laso\'n, Matsuda, Micha\l{}ek, and Vodi\v{c}ka provided a full graph-theoretic classification of Gorenstein matroids associated to simple graphs. We extend this classification to multigraphs.

Keywords

Cite

@article{arxiv.1912.03862,
  title  = {Gorenstein graphic matroids from multigraphs},
  author = {Max Kölbl},
  journal= {arXiv preprint arXiv:1912.03862},
  year   = {2020}
}

Comments

9 pages

R2 v1 2026-06-23T12:39:38.574Z