17 citations · 55 across the 7 of their papers we have counts for
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math.CO2013★ 10 cited
Toric ideals of series and parallel connections of matroids
Kazuki Shibata
In 1980, White conjectured that the toric ideal associated to a matroid is generated by binomials corresponding to a symmetric exchange. In this paper, we prove that classes of mat…
math.CO2013★ 4 cited
Roots of the Ehrhart polynomial of hypersimplices
Hidefumi Ohsugi, Kazuki Shibata
The Ehrhart polynomial of the -th hypersimplex of order is studied. By computational experiments and a known result for , we conjecture that the real part of e…
math.CO2011★ 17 cited
Smooth Fano polytopes whose Ehrhart polynomial has a root with large real part
Hidefumi Ohsugi, Kazuki Shibata
The symmetric edge polytopes of odd cycles (del Pezzo polytopes) are known as smooth Fano polytopes. In this paper, we show that if the length of the cycle is 127, then the Ehrhart…