A catalogue of small regular matroids and their Tutte polynomials

Abstract

A catalogue of all non-isomorphic simple connected regular matroids $\mathcal{M}$ of cardinality $n\le 15$ is provided on the net. These matroids are given as binary matrix matroids and are sieved from the large pool of all non-isomorphic binary matrix matroids of cardinality $\le 15$. For each $\mathcal{M}$ its Tutte polynomial is determined by an algorithm based on internal and external base activity.

Eight pages, one figure on page 6