Properties of Steiner triple systems of order 21
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Publication:6589135
DOI10.1016/J.DISC.2024.114158MaRDI QIDQ6589135
Grahame Erskine, Terry S. Griggs
Publication date: 19 August 2024
Published in: (Search for Journal in Brave)
Exact enumeration problems, generating functions (05A15) Triple systems (05B07) Computational methods for problems pertaining to combinatorics (05-08)
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- The cycle switching graph of the Steiner triple systems of order 19 is connected
- Kirkman triple systems with subsystems
- The existence of 5-sparse Steiner triple systems of order \(n \equiv 3 \mod 6\), \(n \notin \{9,15 \}\)
- Properties of the Steiner triple systems of order 19
- Existentially closed BIBD block-intersection graphs
- Anti-mitre Steiner triple systems
- Twin Steiner triple systems
- Sui sistemi ternari di 13 elementi.
- Ueber Tripelsysteme von 13 Elementen.
- On colourings of Steiner triple systems
- Uniquely 3-colourable Steiner triple systems
- Steiner triple systems and existentially closed graphs
- Kirkman triple systems of order 21 with nontrivial automorphism group
- Determination of Steiner Triple Systems of Order 15
- A direct product construction for 5-sparse triple systems
- Some new perfect Steiner triple systems
- Construction Techniques for Anti-Pasch Steiner Triple Systems
- 5‐chromatic steiner triple systems
- The Steiner triple systems of order 19
- A Combinatorial Approach to X-Tolerant Compaction Circuits
- Constructions for anti‐mitre Steiner triple systems
- Isomorph-Free Exhaustive Generation of Designs with Prescribed Groups of Automorphisms
- The resolution of the anti‐mitre Steiner triple system conjecture
- Infinite classes of anti‐mitre and 5‐sparse Steiner triple systems
- Enumerating Steiner triple systems
- Sparse Steiner triple systems of order 21
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