Steiner triple systems of order 21 with subsystems

DOI10.3336/gm.58.2.06arXiv2104.06825MaRDI QIDQ6146847

Daniel Heinlein, Patric R. J. Östergård

Publication date: 31 January 2024

Published in: Glasnik Matematicki (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.06825

zbMATH Keywords

classificationSteiner triple systemsubsystem

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Triple systems (05B07)

Cites Work

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• Kirkman triple systems with subsystems
• Classification algorithms for codes and designs
• Steiner triple systems of order 19 and 21 with subsystems of order 7
• Most Latin squares have many subsquares
• Cyclically resolvable cyclic Steiner triple systems of order 21 and 39
• One-factorizations of regular graphs of order 12
• Counting symmetric configurations \(v_3\)
• Practical graph isomorphism. II.
• Kirkman triple systems of order 21 with nontrivial automorphism group
• Almost all Steiner triple systems have perfect matchings
• 284457 Steiner Triple Systems of Order 19 Contain a Subsystem of Order 9
• Algebraic Speculations About Steiner Systems
• Almost All Steiner Triple Systems Are Asymmetric
• A Class of Steiner Triple Systems of Order 21 and Associated Kirkman Systems
• Fast generation of regular graphs and construction of cages
• The Steiner triple systems of order 19
• Isomorph-Free Exhaustive Generation of Designs with Prescribed Groups of Automorphisms
• Enumeration of Steiner triple systems with subsystems
• Sparse Steiner triple systems of order 21

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