Construction of Steiner quadruple systems having a prescribed number of blocks in common

DOI10.1016/0012-365X(81)90020-0zbMath0449.05007OpenAlexW2016898626MaRDI QIDQ1147152

Charles C. Lindner, Mario Gionfriddo

Publication date: 1981

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(81)90020-0

zbMATH Keywords

block intersection problemSteiner quadrupel system

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Steiner systems in finite geometry (51E10)

Related Items (20)

Multi-set designs and numbers of common triples ⋮ Intersection problem of Steiner systems S(3,4,2v) ⋮ On Disjoint Partial Quadruple Systems having Seventeen Blocks ⋮ Intersections Among Ordered Quadruple Systems ⋮ The fine triangle intersections for maximum kite packings ⋮ On the intersection of two S(3,4,2v) having a same derived triple system ⋮ On the set \(J(v)\) for Steiner quadruple systems of order \(v=2^ n\) with \(n\geq 4\) ⋮ The fine triangle intersection problem for kite systems ⋮ Intersecting designs ⋮ Unnamed Item ⋮ Intersections and supports of quadruple systems ⋮ Intersections of Steiner quadruple systems ⋮ The 3-way intersection problem for kite systems ⋮ On disjoint partial triple systems ⋮ Orthogonal decomposition and packing of complete graphs ⋮ Intersections among Steiner systemsS(k,k+ 1,v) ⋮ Blocking sets inG-designs andK_3,3- designs ⋮ Pairwise Disjoint intersections Among Steiner Quadruple Systems ⋮ Intersections of Steiner systems S(3,4,v) with \(v=5\cdot 2^ n\) ⋮ Steiner quadruple systems having a prescribed number of quadruples in common

Cites Work

• Finite partial quadruple systems can be finitely embedded
• On the number of 1-factorizations of the complete graph
• A theorem on the maximum number of disjoint Steiner triple systems
• Steiner quadruple systems all of whose derived Steiner triple systems are nonisomorphic
• Steiner quadruple systems - a survey
• Intersections among Steiner systems
• On Quadruple Systems
• Construction of Large Sets of Almost Disjoint Steiner Triple Systems
• Steiner Triple Systems Having a Prescribed Number of Triples in Common
• On the construction of non-isomorphic Steiner quadruple systems
• Construction of Steiner Triple Systems Having Exactly One Triple in Common
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