English

A catalogue of small regular matroids and their Tutte polynomials

Combinatorics 2011-07-08 v1

Abstract

A catalogue of all non-isomorphic simple connected regular matroids M{\cal M} of cardinality n15n \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.

Keywords

Cite

@article{arxiv.1107.1403,
  title  = {A catalogue of small regular matroids and their Tutte polynomials},
  author = {Harald Fripertinger and Marcel Wild},
  journal= {arXiv preprint arXiv:1107.1403},
  year   = {2011}
}

Comments

Eight pages, one figure on page 6