Article ID Journal Published Year Pages File Type
4656370 Journal of Combinatorial Theory, Series A 2007 9 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics