Abstract
Among the most important combinatorial designs are balanced incomplete block designs. A balanced incomplete block design with parameters (v, b, r, k, λ) is a way of choosing b subsets of size k from a v-set so that any element belongs to precisely r of the sets and any two elements commonly belong to λ of them. The k-sets are called blocks. It is easy to see that these parameters are not independent — in fact, r(k — 1) = λ(v — 1) and bk = vr — and that the constancy of r is implied by the constancy of k and λ.
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© 1997 Springer Science+Business Media Dordrecht
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Wallis, W.D. (1997). One-Factorizations and Triple Systems. In: One-Factorizations. Mathematics and Its Applications, vol 390. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2564-3_9
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DOI: https://doi.org/10.1007/978-1-4757-2564-3_9
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-4766-6
Online ISBN: 978-1-4757-2564-3
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