Biembeddings of 2-rotational Steiner triple systems

zbMath1311.05131MaRDI QIDQ2344825

Justin Z. Schroeder, Michael John Grannell

Publication date: 18 May 2015

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v22i2p23

zbMATH Keywords

Steiner triple systemtopological embeddingHeffter difference set

Mathematics Subject Classification ID

Triple systems (05B07) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Related Items (1)

Dependence systems with the operator-image exchange property

Cites Work

• Exponential families of nonisomorphic nonorientable genus embeddings of complete graphs
• A lower bound for the number of triangular embeddings of some complete graphs and complete regular tripartite graphs
• A lower bound for the number of orientable triangular embeddings of some complete graphs
• On the number of nonisomorphic orientable regular embeddings of complete graphs
• Exponential families of non-isomorphic non-triangular orientable genus embeddings of complete graphs.
• Exponentially many nonisomorphic orientable triangular embeddings of \(K_{12s}\)
• Cyclic bi-embeddings of Steiner triple systems on 31 points
• Les G-Systemes Triples
• Surface embeddings of Steiner triple systems
• Cyclic bi‐embeddings of Steiner triple systems on 12s + 7 points
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