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Partitions of sets of designs on seven, eight and nine points

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Publication:1361668
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DOI10.1016/S0378-3758(96)00066-3zbMath0974.05017MaRDI QIDQ1361668

Anne Penfold Street, Rudolf A. Mathon

Publication date: 26 November 2001

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)


zbMATH Keywords

strongly regular graphsSteiner triple systemsSteiner quadruple systemsbalanced designsoverlarge sets


Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30) Triple systems (05B07)


Related Items (5)

Overlarge sets and partial geometries ⋮ Additional constructions to solve the generalized Russian cards problem using combinatorial designs ⋮ Point-missing \(s\)-resolvable \(t\)-designs: infinite series of 4-designs with constant index ⋮ Reaction graphs of double Fano planes ⋮ Constructing partial geometries from overlarge sets of Steiner systems


Uses Software

  • nauty


Cites Work

  • On Identifying PG(3,2) and the Complete 3-Design on Seven Points
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