The toric ideal of a graphic matroid is generated by quadrics

Details The toric ideal of a graphic matroid is generated by quadrics The toric ideal of a graphic matroid is generated by quadrics

2005-11-09

arxiv.org/abs/math/0511223v1

Mathematics

Combinatorics

19 pages, 4 figures

Scientific paper

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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