Minimal non-orientable matroids in a projective plane |
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| Authors: | Rigoberto Flórez David Forge |
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| Institution: | a University of South Carolina Sumter, Sumter, SC 29150-2498, USA
b Laboratoire de Recherche en Informatique UMR 8623, Bât 490 Université Paris-Sud, 91405 Orsay Cedex, France |
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| Abstract: | We construct a new family of minimal non-orientable matroids of rank three. Some of these matroids embed in Desarguesian projective planes. This answers a question of Ziegler: for every prime power q, find a minimal non-orientable submatroid of the projective plane over the q-element field. |
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| Keywords: | Orientable matroid Non-orientable matroid Projective plane Pseudoline arrangement Rank-3 matroid |
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