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Size functions of subgeometry-closed classes of representable combinatorial geometries

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Size functions of subgeometry-closed classes of representable combinatorial geometries
Let exq(G; n) be the maximum number of points in a rank-n geometry (simple matroid) that is representable over GF(q) and that has no restriction isomorphic to the geometry G. We find exq(G; n) for several infinite families of geometries G, and we show that if G is a binary affine geometry, then lim n ex2(G; n) 2n - 1 = 0.
Joseph E. Bonin, Hongxun Qin
Added 18 Dec 2010
Updated 18 Dec 2010
Type Journal
Year 2000
Where DM
Authors Joseph E. Bonin, Hongxun Qin
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