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arXiv · 1910.08587

Frame Matroids, Toric Ideals, and a Conjecture of White

Sean McGuinness
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Abstract

Blasiak verified a conjecture of White for graphic matroids by showing that the toric ideal of a graphic matroid is generated by quadrics. In this paper, we extend this result to frame matroids satisfying a linearity condition. Such classes of matroids include graphic matroids, bicircular matroids, signed graphic matroids, and more generally frame matroids obtained from group-labelled graphs.

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Sean McGuinness. 2020-04-08. Frame Matroids, Toric Ideals, and a Conjecture of White. https://arxiv.org/abs/1910.08587

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