Nonorientable biembeddings of Steiner triple systems

DOI10.1016/j.disc.2004.01.013zbMath1044.05024OpenAlexW1986333526MaRDI QIDQ1877654

Vladimir P. Korzhik, Michael John Grannell

Publication date: 19 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.disc.2004.01.013

zbMATH Keywords

Steiner triple systemComplete graphTopological embedding

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Triple systems (05B07)

Related Items

On the number of triangular embeddings of complete graphs and complete tripartite graphs ⋮ Face 2-Colorable Embeddings with Faces of Specified Lengths ⋮ Biembedding a Steiner Triple System With a Hamilton Cycle Decomposition of a Complete Graph ⋮ Dihedral biembeddings and triangulations by complete and complete tripartite graphs ⋮ A lower bound for the number of triangular embeddings of some complete graphs and complete regular tripartite graphs ⋮ Biembeddings of symmetric \(n\)-cycle systems ⋮ Biembedding Steiner Triple Systems in Surfaces Using the Bose Construction ⋮ Heffter arrays and biembedding graphs on surfaces ⋮ Nonorientable biembeddings of cyclic Steiner triple systems generated by Skolem sequences

Cites Work

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• A new solution for the nonorientable case 1 of the Heawood map color theorem
• Face 2-colourable triangular embeddings of complete graphs
• Another proof of the map color theorem for nonorientable surfaces.
• Exponential families of non-isomorphic triangulations of complete graphs
• On the bi-embeddability of certain Steiner triple systems of order 15
• Smooth solutions in case 1 of the Heawood conjecture for non-orientable surfaces
• Les G-Systemes Triples
• Surface embeddings of Steiner triple systems
• Recursive constructions for triangulations
• BIEMBEDDINGS OF LATIN SQUARES AND HAMILTONIAN DECOMPOSITIONS
• A Six Color Problem

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