Geodesic
The toric ideal of a matroid of rank 3 is generated by quadrics
The electronic journal of combinatorics, Tome 17 (2010)
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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.
DOI : 10.37236/300
Classification : 05B35, 05B25, 05C40, 52B40
Mots-clés : toric ideal, matroid, quadric 
@article{10_37236_300,
     author = {Kenji Kashiwabara},
     title = {The toric ideal of a matroid of rank 3 is generated by quadrics},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/300},
     zbl = {1205.05041},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/300/}
}
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Kenji Kashiwabara. The toric ideal of a matroid of rank 3 is generated by quadrics. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/300

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