On minimal non-orientable matroids with elements and rank |
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| Authors: | Ilda PF da Silva |
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| Institution: | aCELC/University of Lisbon, Faculdade de Ciências - Depto. Matemática, Campo Grande, Edifício C6 - Piso 2, P - 1749-016 - Lisbon, Portugal |
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| Abstract: | We describe an infinite family Mn,k, with n≥4 and 1≤k≤n−2, of minimal non-orientable matroids of rank n on a set with 2n elements. For k=1,n−2, Mn,k is isomorphic to the Bland–Las Vergnas matroid Mn. For every 2≤k≤n−3 a new minimal non-orientable matroid is obtained. All proper minors of the matroids Mn,k are representable over  . |
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