A catalogue of small regular matroids and their Tutte polynomials

preprint2011arXivOpen access

Abstract

A catalogue of all non-isomorphic simple connected regular matroids M{\cal M} of cardinality n≤15n \leq 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 ≤15\leq 15. For each M{\cal M} its Tutte polynomial is determined by an algorithm based on internal and external base activity.

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