Gröbner Bases of Toric Ideals Associated with Matroids
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DOI: 10.1007/s40306-021-00468-5
Abstract: In 1980, White conjectured that the toric ideal of a matroid is generated by quadratic binomials corresponding to a symmetric exchange. In this paper, we compute Gröbner bases of toric ideals associated with matroids and… read more here.
Keywords: toric ideals; ideals associated; associated matroids; bner bases ... See more keywords
Bouquet algebra of toric ideals
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DOI: 10.1016/j.jalgebra.2018.05.016
Abstract: To any toric ideal $I_A$, encoded by an integer matrix $A$, we associate a matroid structure called {\em the bouquet graph} of $A$ and introduce another toric ideal called {\em the bouquet ideal} of $A$.… read more here.
Keywords: bouquet algebra; ideal; algebra toric; toric ideals ... See more keywords