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Showing 1 to 1 of 1 for “"simple matroids"”.

  1. Maximum-Sized Matroids with no Minors Isomorphic to U2,5, F7, F7¯, OR P7

    Mecay, Stefan TerenceUniversity of North Texas2000

    Let M be the class of simple matroids which do not contain the 5-point line U2,5 , the Fano plane F7 , the non-Fano plane F7- , or the matroid P7 , as minors. Let h(n) be the maximum number of points in a rank-n matroid in M. We show that h(2)=4, h(3)=7, and h(n)=n(n+1)/2 for n>3, and we also find …

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