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The toric ideal of a graphic matroid is generated by quadrics
Journal article   Open access   Peer reviewed

The toric ideal of a graphic matroid is generated by quadrics

Jonah Blasiak
Combinatorica (Budapest. 1981), v 28(3), 283
May 2008
url
https://arxiv.org/pdf/math/0511223View

Abstract

Article Combinatorics General Mathematics Mathematics and Statistics
Describing minimal generating sets of toric ideals is a well-studied and difficult problem. Neil White conjectured in 1980 that the toric ideal associated to a matroid is generated by quadrics corresponding to single element symmetric exchanges. We give a combinatorial proof of White’s conjecture for graphic matroids.

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