Completing the spectrum of 2-chromatic S(2, 4, v)

Franek, F.; Griggs, T.S.; Lindner, C.C and Rosa, A. (2002). Completing the spectrum of 2-chromatic S(2, 4, v). Discrete Mathematics, 247(1-3) pp. 225–228.

DOI: https://doi.org/10.1016/S0012-365X(01)00308-9

URL: http://www.elsevier.com/wps/find/journaldescriptio...

Abstract

We construct 2-chromatic S(2,4,v) for v=37,40, and 73. This completes the proof of the existence of 2-chromatic Steiner systems S(2,4,v) [equivalently, of Steiner systems S(2,4,v) with a blocking set] for all v≡1 or 4 (mod 12).

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