Dihedral biembeddings and triangulations by complete and complete tripartite graphs

DOI10.1007/s00373-012-1163-1zbMath1268.05031OpenAlexW1987602560MaRDI QIDQ354470

Martin Knor, Michael John Grannell

Publication date: 19 July 2013

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-012-1163-1

zbMATH Keywords

embeddingdihedral groupCayley tablesbiembeddings of Latin squarescomplete tripartite graph

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (4)

A note on the directed genus of K_n,n,n and K_n ⋮ A simple proof of the map color theorem for nonorientable surfaces ⋮ Auxiliary embeddings and constructing triangular embeddings of joins of complete graphs with edgeless graphs ⋮ Recursive constructions and nonisomorphic minimal nonorientable embeddings of complete graphs

Cites Work

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• 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
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• Twofold triple systems and graph imbeddings
• Three nonisomorphic triangulations of an orientable surface with the same complete graph
• Exponential families of non-isomorphic triangulations of 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.
• Nonorientable biembeddings of Steiner triple systems
• On biembeddings of Latin squares
• Exponentially many nonisomorphic orientable triangular embeddings of \(K_{12s}\)
• Triangulations of orientable surfaces by complete tripartite graphs
• Biembeddings of Abelian groups
• Recursive constructions for triangulations
• BIEMBEDDINGS OF LATIN SQUARES AND HAMILTONIAN DECOMPOSITIONS
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