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Blocking Sets in Desarguesian Affine and Projective Planes by Tamás Szőnyi is a Computer Science article available to read on EtoBox.
What is Blocking Sets in Desarguesian Affine and Projective Planes about?
In this paper we show that blocking sets of cardinality less than 3(q ϩ 1)/2 (q ϭ p n ) in Desarguesian projective planes intersect every line in 1 modulo p points. It is also shown that the cardinality of a blocking set must lie in a few relatively short intervals. This is similar to previous results of Re ́dei, which were proved for a special class of blocking sets. In the particular case q ϭ p 2 , the above result implies that a nontrivial blocking set either contains a Baer-subplane or has size at least 3(q ϩ 1)/2; and this result is sharp. As a by-product, new proofs are given for the Jamison, Brouwer-Schrijver theorem on blocking sets in Desarguesian affine planes, and for Blokhuis' theorem on blocking sets in Desarguesian projective planes.
Who reads Blocking Sets in Desarguesian Affine and Projective Planes?
It is typically read by researchers, students, and practitioners in Computer Science.
- Author
- Tamás Szőnyi
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 1071-5797)
- Published
- 1997
- Language
- EN
- Field
- Computer Science (Physical Sciences)