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arXiv · 1006.2560

Toric Ideals of Lattice Path Matroids and Polymatroids

Jay Schweig
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Abstract

We show that the toric ideal of a lattice path polymatroid is generated by quadrics corresponding to symmetric exchanges, and give a monomial order under which these quadrics form a Gröbner basis. We then obtain an analogous result for lattice path matroids.

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Jay Schweig. 2010-06-13. Toric Ideals of Lattice Path Matroids and Polymatroids. https://arxiv.org/abs/1006.2560

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