Toric Ideals of Lattice Path Matroids and Polymatroids

Published 13 Jun 2010 in math.CO and math.AC | (1006.2560v1)

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

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Jay Schweig

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