Graphical \(t\)-designs via polynomial Kramer-Mesner matrices

DOI10.1016/S0012-365X(99)90045-6zbMath0936.05011OpenAlexW4210284507MaRDI QIDQ1292815

Anton Betten, Alfred Wassermann, Mikhail H. Klin, Reinhard Laue

Publication date: 25 May 2000

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(99)90045-6

zbMATH Keywords

symmetric groupgraphical \(t\)-designsmaximal subgroupKramer-Mesner matrices

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Subgroups of symmetric groups (20B35)

Related Items (7)

Design of designs ⋮ New Infinite Families of 2-Edge-Balanced Graphs ⋮ An enumeration of graphical designs ⋮ The Paulus–Rozenfeld–Thompson Graph on 26 Vertices Revisited and Related Combinatorial Structures ⋮ Hypergraphical \(t\)-designs ⋮ A combinatorial approach to transitive extensions of generously unitransitive permutation groups ⋮ Search for combinatorial objects using lattice algorithms -- revisited

Uses Software

• DISCRETA

Cites Work

• The existence of a simple 3-(28,5,30) design
• Block-transitive \(t\)-designs. I: Point-imprimitive designs
• An \(S_ 3(3,5,21)\) using graphs
• Graphical t-wise balanced designs
• A classification of the maximal subgroups of the finite alternating and symmetric groups
• Graphical \(t\)-designs with block sizes three and four
• On graphical quintuple systems
• t-designs on hypergraphs
• Simple \(8\)-designs with small parameters
• Parallel concepts in graph theory
• Zu einem Isomorphiesatz von H. Whitney für Graphen
• The t‐designs with prescribed automorphism group, new simple 6‐designs
• On the construction of block designs
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