Christian Haase, Andreas Paffenholz
Published 2006-07-07Version 1
The toric ideals of $3\times 3$ transportation polytopes $T$ are quadratically generated. The only exception is the Birkhoff polytope $B_3$. If $T$ is not a multiple of $B_3$, these ideals even have squarefree quadratic initial ideals. This class contains all smooth $3 \times 3$ transportation polytopes.
Birkhoff polytopes of different type and the orthant-lattice property
Toric Ideals of Flow Polytopes
Characterization of Gaps and Elements of a Numerical Semigroup Using Groebner Bases
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