Gorenstein graphic matroids

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

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Submission date: 15. May. 2019
Bibtex
MSC-Numbers: 05B35, 05C75, 13H10, 14M25
Keywords and phrases: Graphic matroid, base polytope, independence polytope, toric ideal, Gorenstein property
Link to arXiv: See the arXiv entry of this preprint.

Abstract:
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.