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

A. Blokhuis; A.A. Bruen

doi:10.1016/0097-3165(89)90023-X

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

A. Blokhuis, A.A. Bruen

Discrete Algebra and Geometry

Research output: Contribution to journal › Article › Academic › peer-review

13 Citations (Scopus)

Abstract

Lower bounds are given for the number of lines blocked by a set of q + 2 points in a projective plane of order q. Implications are discussed to the theory of blocking sets and bounds are obtained for the size of a double intersecting set of circles in a Möbius plane.

Original language	English
Pages (from-to)	308-315
Number of pages	8
Journal	Journal of Combinatorial Theory, Series A
Volume	50
Issue number	2
DOIs	https://doi.org/10.1016/0097-3165(89)90023-X
Publication status	Published - 1989

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

abstract = "Lower bounds are given for the number of lines blocked by a set of q + 2 points in a projective plane of order q. Implications are discussed to the theory of blocking sets and bounds are obtained for the size of a double intersecting set of circles in a M{\"o}bius plane.",

author = "A. Blokhuis and A.A. Bruen",

year = "1989",

doi = "10.1016/0097-3165(89)90023-X",

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T1 - The minimal number of lines intersected by a set of q + 2 points, blocking sets, and intersecting circles

AU - Blokhuis, A.

AU - Bruen, A.A.

PY - 1989

Y1 - 1989

N2 - Lower bounds are given for the number of lines blocked by a set of q + 2 points in a projective plane of order q. Implications are discussed to the theory of blocking sets and bounds are obtained for the size of a double intersecting set of circles in a Möbius plane.

AB - Lower bounds are given for the number of lines blocked by a set of q + 2 points in a projective plane of order q. Implications are discussed to the theory of blocking sets and bounds are obtained for the size of a double intersecting set of circles in a Möbius plane.

U2 - 10.1016/0097-3165(89)90023-X

DO - 10.1016/0097-3165(89)90023-X

M3 - Article

VL - 50

SP - 308

EP - 315

JO - Journal of Combinatorial Theory, Series A

JF - Journal of Combinatorial Theory, Series A

SN - 0097-3165

IS - 2

ER -

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

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