Geodesic
Multi-index planar transportation polytopes with a~maximum number of vertices
Diskretnaya Matematika, Tome 4 (1992) no. 1, pp. 3-18.

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Using the methods of combinatorial topology we establish a criterion for a polytope to belong to the class of multi-index planar transportation polytopes with a maximum number of vertices. We also obtain a number of results concerning the structure of polytopes of this class. 
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V. A. Emelichev; M. K. Kravtsov; A. P. Krachkovskii. Multi-index planar transportation polytopes with a~maximum number of vertices. Diskretnaya Matematika, Tome 4 (1992) no. 1, pp. 3-18. http://geodesic.mathdoc.fr/item/DM_1992_4_1_a0/