46 citations · 100 across the 13 of their papers we have counts for
4 papers · 1 filter
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.
On f-vectors of Minkowski additions of convex polytopes
Komei Fukuda, Christophe Weibel
The objective of this paper is to present two types of results on Minkowski sums of convex polytopes. The first is about a special class of polytopes we call perfectly centered and…
Computing Groebner Fans
Komei Fukuda, Anders N. Jensen, Rekha R. Thomas
This paper presents algorithms for computing the Groebner fan of an arbitrary polynomial ideal. The computation involves enumeration of all reduced Groebner bases of the ideal. Our…
The generic Groebner walk
K. Fukuda, A. N. Jensen, N. Lauritzen +1
The Groebner walk is an algorithm for conversion between Groebner bases for different term orders. It is based on the polyhedral geometry of the Groebner fan and involves tracking…