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Asymptotics of Symmetry in Matroids

Combinatorics 2016-09-19 v1

Abstract

We prove that asymptotically almost all matroids have a trivial automorphism group, or an automorphism group generated by a single transposition. Additionally, we show that asymptotically almost all sparse paving matroids have a trivial automorphism group.

Keywords

Cite

@article{arxiv.1609.04975,
  title  = {Asymptotics of Symmetry in Matroids},
  author = {Rudi Pendavingh and Jorn van der Pol},
  journal= {arXiv preprint arXiv:1609.04975},
  year   = {2016}
}

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10 pages