Quadratic Gröbner bases for smooth 3×3 transportation polytopes

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Abstract

The toric ideals of 3×3 transportation polytopes Trc are quadratically generated. The only exception is the Birkhoff polytope B 3. If Trcis not a multiple of B 3, these ideals even have square-free quadratic initial ideals. This class contains all smooth 3×3 transportation polytopes. © 2009 Springer Science+Business Media, LLC.

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Haase, C., & Paffenholz, A. (2009). Quadratic Gröbner bases for smooth 3×3 transportation polytopes. Journal of Algebraic Combinatorics, 30(4), 477–489. https://doi.org/10.1007/s10801-009-0173-4

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