Article ID Journal Published Year Pages File Type
419701 Discrete Applied Mathematics 2013 4 Pages PDF
Abstract

The question of unimodality of ff-vectors of cyclic polytopes (which enumerate the number of faces of each dimension) is settled in the affirmative. More generally, the stronger property of log-concavity of ff-vectors is seen to hold for the larger class of ordinary polytopes.

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Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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Unimodality and log-concavity of ff-vectors for cyclic and ordinary polytopes
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