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A series of group divisible designs
Authors:DVS Sastry
Institution:A-63, Jalada, Prabhadevi, Bombay, 400025
Abstract:Bose and Shrikhande C19763 proved that if D(m, k, ?) is a Baer subdesign of another SBIBD D1 (v1, k1 ?), k1>k, then it also contains a complementary subdesign D* which is symmetric GDD, D* (v*, k*; ?-1, ?; m, n). Utilising this, we give a necessary condition for a SBIBD D to be a Baer subdesign of D1 and also give the parameters. Some GD designs are constructed.
Keywords:Baer Subdesigns  SBIBD  GD  Semiregular  regular
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