Asymptotics of symmetry in matroids.

Journal of Combinatorial Theory, Series B(2019)

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摘要
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.
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关键词
Matroid,Asymptotic enumeration,Automorphism group,Symmetry
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