Abstract
An infinite family of normal (0,1) -polytopes, none of whose unimodular triangulations is regular, is constructed. For the construction, we discuss triangulations of convex polytopes and flips of triangulations by studying markings on the set of circuits of toric ideals.
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Ohsugi Toric Ideals and an Infinite Family of Normal (0, 1)-Polytopes without Unimodular Regular Triangulations. Discrete Comput Geom 27, 551–565 (2002). https://doi.org/10.1007/s00454-001-0087-y
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DOI: https://doi.org/10.1007/s00454-001-0087-y