Every non-Euclidean oriented matroid admits a biquadratic final polynomial

Komei Fukuda; Sonoko Moriyama; Hiroki Nakayama; Jürgen Richter-Gebert

doi:10.1007/s00493-009-2255-2

Every non-Euclidean oriented matroid admits a biquadratic final polynomial

Komei Fukuda, Sonoko Moriyama, Hiroki Nakayama, Jürgen Richter-Gebert

INF - System Information Sciences

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Richter-Gebert proved that every non-Euclidean uniform oriented matroid admits a biquadratic final polynomial. We extend this result to the non-uniform case.

Original language	English
Pages (from-to)	691-698
Number of pages	8
Journal	Combinatorica
Volume	29
Issue number	6
DOIs	https://doi.org/10.1007/s00493-009-2255-2
Publication status	Published - 2009

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Computational Mathematics

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@article{f165f67a76fe4b7eb101932f3ca6a3ec,

title = "Every non-Euclidean oriented matroid admits a biquadratic final polynomial",

abstract = "Richter-Gebert proved that every non-Euclidean uniform oriented matroid admits a biquadratic final polynomial. We extend this result to the non-uniform case.",

author = "Komei Fukuda and Sonoko Moriyama and Hiroki Nakayama and J{\"u}rgen Richter-Gebert",

note = "Funding Information: * Research supported by the Swiss National Science Foundation Project 200021-105202, “Polytopes, Matroids and Polynomial Systems”.",

year = "2009",

doi = "10.1007/s00493-009-2255-2",

language = "English",

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journal = "Combinatorica",

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AU - Fukuda, Komei

AU - Moriyama, Sonoko

AU - Nakayama, Hiroki

AU - Richter-Gebert, Jürgen

N1 - Funding Information: * Research supported by the Swiss National Science Foundation Project 200021-105202, “Polytopes, Matroids and Polynomial Systems”.

PY - 2009

Y1 - 2009

N2 - Richter-Gebert proved that every non-Euclidean uniform oriented matroid admits a biquadratic final polynomial. We extend this result to the non-uniform case.

AB - Richter-Gebert proved that every non-Euclidean uniform oriented matroid admits a biquadratic final polynomial. We extend this result to the non-uniform case.

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U2 - 10.1007/s00493-009-2255-2

DO - 10.1007/s00493-009-2255-2

M3 - Article

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VL - 29

SP - 691

EP - 698

JO - Combinatorica

JF - Combinatorica

IS - 6

ER -

Every non-Euclidean oriented matroid admits a biquadratic final polynomial

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