Generalized hyperfocused arcs in PG(2,p)

A. Blokhuis; G. Marino; F. Mazzocca

doi:10.1002/jcd.21371

Generalized hyperfocused arcs in PG(2,p)

A. Blokhuis, G. Marino, F. Mazzocca

Discrete Algebra and Geometry

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

3 Citations (Scopus)

Abstract

A generalized hyperfocused arc H in PG(2,q) is an arc of size k with the property that the k(k-1)/2 secants can be blocked by a set of k-1 points not belonging to the arc. We show that if q is a prime and H is a generalized hyperfocused arc of size k, then k=1, 2 or 4. Interestingly, this problem is also related to the (strong) cylinder conjecture ( Problem 919), as we point out in the last section. Keywords: hyperfocused arc; dual 3-net

Original language	English
Pages (from-to)	506-513
Number of pages	8
Journal	Journal of Combinatorial Designs
Volume	22
Issue number	12
DOIs	https://doi.org/10.1002/jcd.21371
Publication status	Published - 2014

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AU - Marino, G.

AU - Mazzocca, F.

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