Kirkman triple systems of order 21 with nontrivial automorphism group

DOI10.1090/S0025-5718-01-01372-2zbMath0989.05017OpenAlexW2009390864MaRDI QIDQ2781233

Alan C. H. Ling, Charles J. Colbourn, Myra B. Cohen, Lee A. Ives

Publication date: 19 March 2002

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-01-01372-2

zbMATH Keywords

Steiner triple systemKirkman triple systemconstructive enumerationdoubly resolvable design

Mathematics Subject Classification ID

Triple systems (05B07)

Related Items

Enumerating Steiner triple systems ⋮ Steiner triple systems of order 21 with subsystems ⋮ Sparse Steiner triple systems of order 21 ⋮ Steiner triple systems of order 19 and 21 with subsystems of order 7 ⋮ Solving Kirkman's schoolgirl problem in a few seconds ⋮ Kirkman triple systems with subsystems

Uses Software

• nauty

Cites Work

• The existence of Kirkman squares -- doubly resolvable \((v,3,1)\)-BIBDs
• Asymptotically optimal erasure-resilient codes for large disk arrays.
• Dynamic matchings and quasidynamic fractional matchings. I
• A Class of Steiner Triple Systems of Order 21 and Associated Kirkman Systems
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