The minimal number of lines intersected by a set of q + 2 points, blocking sets, and intersecting circles

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Minimum blocking sets of circles for a set of lines in the plane

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15 صفحه اول

Blocking Sets Of External Lines To A Conic In PG(2, q), q ODD

We determine all point-sets of minimum size in PG(2, q), q odd that meet every external line to a conic in PG(2, q). The proof uses a result on the linear system of polynomials vanishing at every internal point to the conic and a corollary to the classification theorem of all subgroups of PGL(2, q).

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series A

سال: 1989

ISSN: 0097-3165

DOI: 10.1016/0097-3165(89)90023-x