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- W2509252776 abstract "Abstract An incomplete pairwise balanced design is equivalent to a pairwise balanced design with a distinguished block, viewed as a ‘hole’. If there are v points, a hole of size w, and all (other) block sizes equal k, this is denoted IPBD((v;w), k). In addition to congruence restrictions on v and w, there is also a necessary inequality: v > (k − 1)w. This article establishes two main existence results for IPBD((v;w), k): one in which w is fixed and v is large, and the other in the case v > (k −1+∊)w when w is large (depending on ∊). Several possible generalizations of the problemare also discussed." @default.
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- W2509252776 date "2016-06-01" @default.
- W2509252776 modified "2023-09-25" @default.
- W2509252776 title "An Existence Theory for Incomplete Designs" @default.
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- W2509252776 doi "https://doi.org/10.4153/cmb-2015-073-7" @default.
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