Toric Ideals of Lattice Path Matroids and Polymatroids

Details Toric Ideals of Lattice Path Matroids and Polymatroids Toric Ideals of Lattice Path Matroids and Polymatroids

2010-06-13

arxiv.org/abs/1006.2560v1

Mathematics

Combinatorics

9 pages, 4 figures

Scientific paper

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 Gr\"obner basis. We then obtain an analogous result
for lattice path matroids.

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