Large sets of disjoint packings on \(6k+5\) points (Q703680)
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scientific article; zbMATH DE number 2126382
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Large sets of disjoint packings on \(6k+5\) points |
scientific article; zbMATH DE number 2126382 |
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Large sets of disjoint packings on \(6k+5\) points (English)
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11 January 2005
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\textit{P. J. Schellenberg} and \textit{D. R. Stinson} [J. Comb. Math. Comb. Comput. 5, 143--160 (1989; Zbl 0674.94008)] introduced this large set problem and used it to construct perfect threshold schemes. The authors show that a large set of maximal packings on \(6k+5\) points exists for every \(k\) (that is, a set of \(6k+1\) disjoint packings, all of which omit a cycle of length four).
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combinatorics
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packing
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large set
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perfect threshold scheme
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partitionable candelabra system
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\(t\)-wise balanced design
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