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Every non-Euclidean oriented matroid admits a biquadratic final polynomial

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

In: Combinatorica, 2009, vol. 29, no. 6, p. 691-698

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    Title
    • Every non-Euclidean oriented matroid admits a biquadratic final polynomial
    Author
    • Fukuda, Komei. Institute for Operations Research, ETH Zentrum, CH-8092, Zurich, Switzerland
    • Moriyama, Sonoko. Institute for Nano Quantum Information Electronics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, 113-8656, Tokyo, Japan
    • Nakayama, Hiroki. Graduate School of Information Science and Technology, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, 113-8656, Tokyo, Japan
    • Richter-Gebert, Jürgen. Technische Universität München Zentrum Mathematik (M10) Lehrstuhl für Geometrie und Visualisierung, Boltzmannstr. 3, D-85748, Garching bei München, Germany
    Document Type
    • Postprint
    Classification
    • Mathematics
    OAI-PMH Identifier
    • oai:doc.rero.ch:321446
    Summary
    Richter-Gebert proved that every non-Euclidean uniform oriented matroid admits a biquadratic final polynomial. We extend this result to the non-uniform case