Article ID Journal Published Year Pages File Type
4652049 Electronic Notes in Discrete Mathematics 2013 6 Pages PDF
Abstract

We construct a new infinite family of minimal non-orientable matroids of rank 3 with 3n elements starting from . Two minimal non-orientable matroids of rank 3 with 9 elements, and , were discovered in 2012. We then consider the representability of and ; in particular the new infinite family is not representable over fields with characteristic 2.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics