Steiner triple systems of order 19 and 21 with subsystems of order 7

DOI10.1016/j.disc.2006.06.038zbMath1142.05005OpenAlexW2075578888MaRDI QIDQ924955

Petteri Kaski, Svetlana Topalova, Patric R. J. Östergård, Rosen Zlatarski

Publication date: 29 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.disc.2006.06.038

zbMATH Keywords

Steiner triple systemsubsystemFano plane

Mathematics Subject Classification ID

Triple systems (05B07)

Related Items

On the Wilson monoid of a pairwise balanced design, Enumerating Steiner triple systems, Steiner triple systems of order 21 with a transversal subdesign \(\mathrm{TD}(3, 6)\), Steiner triple systems of order 21 with subsystems, Miklós-Manickam-Singhi conjectures on partial geometries, Nearly Kirkman triple systems of order 18 and Hanani triple systems of order 19, Enumeration of the doubles of the projective plane of order 4, Kirkman triple systems with subsystems, Enumeration of Steiner triple systems with subsystems, Classification of designs with nontrivial automorphism groups

Uses Software

• nauty

Cites Work

• The existence of Kirkman squares -- doubly resolvable \((v,3,1)\)-BIBDs
• Embeddings of Steiner triple systems
• Nonisomorphic Steiner triple systems
• Kirkman triple systems of order 21 with nontrivial automorphism group
• 284457 Steiner Triple Systems of Order 19 Contain a Subsystem of Order 9
• A Class of Steiner Triple Systems of Order 21 and Associated Kirkman Systems
• Steiner triple systems of order 19 with nontrivial automorphism group
• The Steiner triple systems of order 19
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