13 citations · 18 across the 7 of their papers we have counts for
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math.CO2012★ 1 cited
Complete enumeration of small realizable oriented matroids
Komei Fukuda, Hiroyuki Miyata, Sonoko Moriyama
Enumeration of all combinatorial types of point configurations and polytopes is a fundamental problem in combinatorial geometry. Although many studies have been done, most of them…
math.CO2006
The Holt-Klee condition for oriented matroids
Komei Fukuda, Sonoko Moriyama, Yoshio Okamoto
Holt and Klee have recently shown that every (generic) LP orientation of the graph of a -polytope satisfies a directed version of the -connectivity property, i.e. there are $…
math.CO2005
Every non-Euclidean oriented matroid admits a biquadratic final polynomial
Komei Fukuda, Sonoko Moriyama, Hiroki Nakayama
Richter-Gebert proved that every non-Euclidean uniform oriented matroid admits a biquadratic final polynomial. We extend this result to the non-uniform case.