Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4655710 | Journal of Combinatorial Theory, Series A | 2011 | 31 Pages |
Abstract
For a class of parapolar spaces that includes the geometries E6,4, E7,7, and E8,1 with lines of size at least three, the metasymplectic spaces with lines of size at least four, and the polar line Grassmannians with lines of size at least four except D4,2(3), we show that the subgraph of the point-collinearity graph induced on the complement of a hyperplane is simply connected. We also show that these parapolar spaces have Veldkamp lines.
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Mathematics
Discrete Mathematics and Combinatorics