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Kirkman packing designs KPD\((\{3, 5^*\},v)\) - MaRDI portal

Kirkman packing designs KPD\((\{3, 5^*\},v)\) (Q1611360)

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scientific article; zbMATH DE number 1785705
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Kirkman packing designs KPD\((\{3, 5^*\},v)\)
scientific article; zbMATH DE number 1785705

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    Kirkman packing designs KPD\((\{3, 5^*\},v)\) (English)
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    21 August 2002
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    A Kirkman packing design (KPD; also Kirkman school project design) \((\{3,s^{*}\},v)\) is a resolvable packing with maximum possible number of parallel classes, each class containing one block of size \(s\) and all others of size 3. The authors construct KPD\((\{3,5^{*}\},v)\) for all \(v \equiv 3\) (mod 3) with a few possible exceptions. The construction is recurrsive and uses some explicit small KPD and incomplete KPD.
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    Kirkman packing design
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    Kirkman school project design
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