A catalogue of small regular matroids and their Tutte polynomials

Details A catalogue of small regular matroids and their Tutte polynomials A catalogue of small regular matroids and their Tutte polynomials

2011-07-07

arxiv.org/abs/1107.1403v1

Mathematics

Combinatorics

Eight pages, one figure on page 6

Scientific paper

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

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