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Erschienen in:
2003 | OriginalPaper | Buchkapitel
Combinatorial Generation of Small Point Configurations and Hyperplane Arrangements
verfasst von : Lukas Finschi, Komei Fukuda
Erschienen in: Discrete and Computational Geometry
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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A recent progress on the complete enumeration of oriented matroids enables us to generate all combinatorial types of small point configurations and hyperplane arrangements in general dimension, including degenerate ones. This extends a number of former works which concentrated on the non-degenerate case and are usually limited to dimension 2 or 3. Our initial study on the complete list for small cases has shown its potential in resolving geometric conjectures.