On face numbers of neighborly cubical polytopes
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🧮 math.CO
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cubicalpolytopesfaceneighborlynumbersadinanaloguescyclic
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Neighborly cubical polytopes are known as the cubical analogues of the cyclic polytopes. Using the short cubical $h$-vectors of cubical polytopes (introduced by Adin), we derive an explicit formula for the face numbers of the neighborly cubical polytopes. These face numbers form a unimodal sequence.
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