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- W1989856656 abstract "White has conjectured that the toric ideal of a matroid is generated by quadric binomials corresponding to symmetric basis exchanges. We prove a stronger version of this conjecture for lattice path polymatroids by constructing a monomial order under which these sets of quadrics form Gröbner bases. We then introduce a larger class of polymatroids for which an analogous theorem holds. Finally, we obtain the same result for lattice path matroids as a corollary." @default.
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- W1989856656 date "2011-11-01" @default.
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- W1989856656 title "Toric ideals of lattice path matroids and polymatroids" @default.
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- W1989856656 doi "https://doi.org/10.1016/j.jpaa.2011.03.010" @default.
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