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Steiner graphical \(t\)-wise balanced designs of type \(n^r\) - MaRDI portal

Steiner graphical \(t\)-wise balanced designs of type \(n^r\) (Q1569875)

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scientific article; zbMATH DE number 1471131
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English
Steiner graphical \(t\)-wise balanced designs of type \(n^r\)
scientific article; zbMATH DE number 1471131

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    Steiner graphical \(t\)-wise balanced designs of type \(n^r\) (English)
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    13 September 2001
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    The authors give a complete determination of all proper Steiner graphical \(t\)-wise balanced designs whose automorphism group contains the wreath product of \(S_n\) and \(S_r\) acting on the set of \(n^2\binom{r}{2}\) edges of the complete \(r\)-partite graph \(K_{n,n, \dots,n}\).
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    Steiner graphical \(t\)-wise balanced designs
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    automorphism group
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