Abstract
In this note, we completely settle the existence of 2-chromatic (v, 5, 1)-designs. This settles a problem posed by Rosa and Colbourn.
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References
F.E. Bennett, C.J. Colbourn, and R.C. Mullin, Quintessential pairwise balanced designs, J. Stat. Plann. Infer., to appear.
F.E. Bennett, H.D.O.F. Gronau, A.C.H. Ling and R.C. Mullin, PBD-closure, in:CRC Handbook of Combinatorial Designs (C.J. Colbourn and J.H. Dinitz, eds.), CRC Press, Boca Raton FL, 1996, 203–213.
T. Beth, D. Jungnickel and H. Lenz,Design Theory, Cambridge University Press, 1986.
M. Gionfriddo and B. Micale, Blocking sets in 3-designs,J. of Geometry 35 (1989), 75–86.
D.G. Hoffman, C.C. Lindner, and K.T. Phelps, Blocking sets in designs with block size 4,Europ J. Combin. 11 (1990), 451–457.
A. Rosa and C. J. Colbourn, “Colorings of block designs”,Contemporary Design Theory (J.H. Dinitz and D.R. Stinson, eds.), John Wiley & Sons, New York, 1992, pp. 401–430.
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Ling, A.C.H. On 2-chromatic (v, 5, 1)-designs. J Geom 66, 144–148 (1999). https://doi.org/10.1007/BF01225678
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DOI: https://doi.org/10.1007/BF01225678