On electrical self-duality of "small" self-dual matroids


Acketa Dragan M.




All the non-isomorphic ESD (electrically self-dual, in the sense of [5]) matroids on at most 8 elements are determined. The investigation is based on catalogue [4]. It turns out that only ten (out of 266) self-dual matroids on 8 elements are not ESD. We also give all the possible "electrical" permutations for ESD matroids on less than 8 elements. The paper includes a list of all the non-isomorphic self-dual matroids on at most 8 elements, together with the data concerning their "electricity". Some general methods for checking whether an SD matroid is ESD are also presented.