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- Title
New Examples of Oriented Matroids with Disconnected Realization Spaces.
- Authors
Tsukamoto, Yasuyuki
- Abstract
We construct oriented matroids of rank 3 on 13 points whose realization spaces are disconnected. They are defined on smaller point-sets than the known examples with this property. Moreover, we construct one on 13 points whose realization space is a connected but non-irreducible semialgebraic variety.
- Subjects
ORIENTED matroids; SPACES of measures; SEMIALGEBRAIC sets; POINT set theory; GRAPH theory
- Publication
Discrete & Computational Geometry, 2013, Vol 49, Issue 2, p287
- ISSN
0179-5376
- Publication type
Article
- DOI
10.1007/s00454-012-9456-y