The toric ideal of a graphic matroid is generated by quadrics
Combinatorics
2007-05-23 v1 Rings and Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.math/0511223,
title = {The toric ideal of a graphic matroid is generated by quadrics},
author = {Jonah Blasiak},
journal= {arXiv preprint arXiv:math/0511223},
year = {2007}
}
Comments
19 pages, 4 figures