The Toric Ideal of a Matroid of Rank 3 is Generated by Quadrics
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.
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| Veröffentlicht in: | The Electronic journal of combinatorics 2010-02, Vol.17 (1) |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
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| ISSN: | 1077-8926 1077-8926 |
| DOI: | 10.37236/300 |