Beautifully Ordered Balanced Incomplete Block Designs
نویسندگان
چکیده
Beautifully Ordered Balanced Incomplete Block Designs, BOBIBD(v, k, λ, k1, λ1), are defined and the proof is given to show that necessary conditions are sufficient for the existence of BOBIBD with block size k=3 and k1=2 and for k=4 and k1=2 except possibly for eleven exceptions. Existence of BOBIBDs with block size k=4 and k1=3 is demonstrated for all but one infinite family and the non-existence of BOBIBD(7, 4, 2, 3, 1), the first member of the series, is shown.
منابع مشابه
On the Type-1 Optimality of Nearly Balanced Incomplete Block Designs with Small Concurrence Range
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