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math.CO2020★ 3 cited
Strictness of the log-concavity of generating polynomials of matroids
Satoshi Murai, Takahiro Nagaoka, Akiko Yazawa
Recently, it was proved by Anari-Oveis Gharan-Vinzant, Anari-Liu-Oveis Gharan-Vinzant and Brändén-Huh that, for any matroid , its basis generating polynomial and its independent…
math.CO2017★ 2 cited
Reflexive polytopes arising from edge polytopes
Takahiro Nagaoka, Akiyoshi Tsuchiya
It is known that every lattice polytope is unimodularly equivalent to a face of some reflexive polytope. A stronger question is to ask whether every -polytope is unimodularl…