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- W2279862644 abstract "We show that the maximum size of a geometry of rank n excluding the (q + 2)-point line, the 3-wheel W_3, and the 3-whirl W^3 as minor is (n - 1)q + 1, and geometries of maximum size are parallel connections of (q + 1)-point lines. We show that the maximum size of a geometry of rank n excluding the 5-point line, the 4-wheel W_4, and the 4-whirl W^4 as minors is 6n - 5, for n ≥ 3. Examples of geometries having rank n and size 6n - 5 include parallel connections of the geometries V_19 and PG(2,3)." @default.
- W2279862644 created "2016-06-24" @default.
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- W2279862644 date "1989-08-01" @default.
- W2279862644 modified "2023-09-27" @default.
- W2279862644 title "The Maximum Size of Combinatorial Geometries Excluding Wheels and Whirls as Minors" @default.
- W2279862644 hasPublicationYear "1989" @default.
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