MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Gorenstein graphic matroids

Takayuki Hibi, Michal Lason, Kazunori Matsuda, Mateusz Michałek and Martin Vodička


The toric variety of a matroid is projectively normal, and therefore it is Cohen-Macaulay. We provide a complete graph-theoretic classification when the toric variety of a graphic matroid is Gorenstein.

MSC Codes:
05B35, 05C75, 13H10, 14M25
Graphic matroid, base polytope, independence polytope, toric ideal, Gorenstein property

Related publications

2021 Repository Open Access
Takayuki Hibi, Michał Lasoń, Kazunori Matsuda, Mateusz Michałek and Martin Vodička

Gorenstein graphic matroids

In: Israel journal of mathematics, 243 (2021) 1, pp. 1-26