This article is cited in 1 scientific paper (total in 1 paper)
Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes
M. A. Kozachokab
a Steklov Mathematical Institute of the Russian Academy of Sciences
b P. G. Demidov Yaroslavl State University
In this paper we introduce and study a class of centrally symmetric polytopes — perfect prismatoids — and some its properties related to the famous conjecture concerning face numbers of centrally symmetric polytopes are proved. It is proved that any Hanner polytope is a perfect prismatoid and any perfect prismatoid is affine equivalent to some $0/1$-polytope.
polytopes, Hanner polytopes, Kalai's conjecture.
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M. A. Kozachok, “Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes”, Model. Anal. Inform. Sist., 19:6 (2012), 137–147
Citation in format AMSBIB
\paper Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes
\jour Model. Anal. Inform. Sist.
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M. A. Kozachok, A. N. Magazinov, “Sovershennye prizmoidy i reshetchatye mnogogranniki Delone”, Model. i analiz inform. sistem, 21:4 (2014), 47–53
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