Kazuki Shibata

activity

20112020

most citedSmooth Fano polytopes whose Ehrhart polynomial has a root with large real part

17 citations · 55 across the 7 of their papers we have counts for

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Showing 2013Show all

2 papers · 1 filter

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 $d$ -th hypersimplex $Δ (d, n)$ of order $n$ is studied. By computational experiments and a known result for $d = 2$ , we conjecture that the real part of e…