Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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BICYCLIC BSEC OF BLOCK SIZE 3

  • Cho, Chung-Je (Department of Mathematics College of Sciences Sookmyung Women's University)
  • Published : 2005.07.01

Abstract

A k-sized balanced sampling plan excluding contiguous units of order v and index denoted by $BSEC(v,\;k,\;{\lambda})$, is said to be bicyclic if it admits an automorphism consisting of two disjoint cycles of length ~. In this paper, we obtain a necessary and sufficient condition for the existence of bicyclic BSEC(v, 3, 2)s.

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References

  1. C. J. Colbourn and A. C. H. Ling, A class of partial triple systems with applications in survey sampling, Comm. Statist. Theory Methods 27 (1998),1009-1018 https://doi.org/10.1080/03610929808832141
  2. R. Peltesohn, Eine Losunq der beiden Heffterschen Differenzenprobleme, Compos. Math. 6 (1939), 251-257
  3. R. Wei, Cyclic BSEC of block size 3, Discrete Math. 250 (2002), 291-298 https://doi.org/10.1016/S0012-365X(01)00429-0

Cited by

  1. Bicyclic BSECs of block size 3 and any λ vol.313, pp.15, 2013, https://doi.org/10.1016/j.disc.2013.04.002