The Toric Ideal of a Matroid of Rank 3 is Generated by Quadrics

  • Kenji Kashiwabara
DOI: https://doi.org/10.37236/300

Abstract

White conjectured that the toric ideal associated with the basis of a matroid is generated by quadrics corresponding to symmetric exchanges. We present a combinatorial proof of White's conjecture for matroids of rank 3 by using a lemma proposed by Blasiak.

Published
2010-02-15
Issue
Volume 17 (2010)
Article Number
R28