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A Note on (r, λ)-Systems

Published online by Cambridge University Press:  20 November 2018

B. Gardner
B. Gardner*
Affiliation:
Department of Mathematics, Statistics and Computer Science, Memorial University of Newfoundland, St. John's, Newfoundland, Canada A1C5S7
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An (r, λ)-system is an arrangement of v objects (or varieties) into subsets (or blocks) such that each variety appears in exactly r blocks and each pair of distinct varieties appears in exactly λ blocks. To avoid trivial designs, we assume that 1≤λ<r.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 4 , 01 December 1977, pp. 511 - 512
Copyright
Copyright © Canadian Mathematical Society 1977

References

1. Gardner, B., On Coverings and (r, ?)-systems, Ph.D. Thesis, University of Waterloo, 1972.Google Scholar
2. Stanton, R.G. and Mullin, R.C., Inductive Methods for Balanced Incomplete Block Designs, Ann. Math. Stat. 37 (1966), 1348-1354.Google Scholar
3. Vranch, J., On Critical (r, k)-sy stems, Can. Math. Bull. 19 (1976), 217-220.Google Scholar