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The 2-Blocking Number and the Upper Chromatic Number ofPG(2,q)
2013
Journal of combinatorial designs (Print)
A 2-fold blocking set (double blocking set) in a finite projective plane Π is a set of points, intersecting every line in at least two points. The minimum number of points in a double blocking set of Π is denoted by τ 2 (Π). Let PG(2, q) be the Desarguesian projective plane over GF(q), the finite field of q elements. We show that if q is odd, not a prime, and r is the order of the largest proper subfield of GF(q), then τ 2 (PG(2, q)) ≤ 2(q + (q − 1)/(r − 1)). For a finite projective plane Π,
doi:10.1002/jcd.21347
fatcat:fkalrojogjcapn246msvlsy7vq