Recski András: A class of self-dual matroids

Matroid seminar

A matroid M on the set E is self-dual if there exists a permutation p of E so that p(M) equals the dual of M. Motivated by some applications in electric network theory, we propose to study the class of those self-dual matroids where p consists of disjoint cycles of length 2. We present some infinite families of such matroids, some operations within this class and propose some conjectures.