The toric ideal of a graphic matroid is generated by quadrics

نویسنده

  • Jonah Blasiak
چکیده

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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عنوان ژورنال:
  • Combinatorica

دوره 28  شماره 

صفحات  -

تاریخ انتشار 2008