2 papers
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.
math.CO2002
Dualistic computational algebraic analyses of primal and dual minimum cost flow problems on acyclic tournament graphs
Takayuki Ishizeki, Hiroki Nakayama, Hiroshi Imai
To integer programming problems, computational algebraic approaches using Grobner bases or standard pairs via the discreteness of toric ideals have been studied in recent years. Al…