Surface embeddings of Steiner triple systems
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Publication:4222161
DOI<325::AID-JCD2>3.0.CO;2-H 10.1002/(SICI)1520-6610(1998)6:5<325::AID-JCD2>3.0.CO;2-HzbMath0916.05009OpenAlexW2095570923MaRDI QIDQ4222161
Jozef Širáň, Michael John Grannell, Terry S. Griggs
Publication date: 7 March 1999
Full work available at URL: https://doi.org/10.1002/(sici)1520-6610(1998)6:5<325::aid-jcd2>3.0.co;2-h
Combinatorial aspects of block designs (05B05) Planar graphs; geometric and topological aspects of graph theory (05C10) Triple systems (05B07)
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Nonorientable biembeddings of Steiner triple systems ⋮ A visual representation of the Steiner triple systems of order 13 ⋮ Recursive constructions for triangulations ⋮ Cyclic bi‐embeddings of Steiner triple systems on 12s + 7 points ⋮ Another proof of the map color theorem for nonorientable surfaces. ⋮ Settling the genus of the \(n\)-prism ⋮ Maximum genus embeddings of Steiner triple systems ⋮ A note on directed genera of some tournaments ⋮ Face 2-colourable triangular embeddings of complete graphs ⋮ Exponential families of non-isomorphic triangulations of complete graphs ⋮ Bi-embeddings of the projective space PG(3, 2) ⋮ Orientable biembeddings of cyclic Steiner triple systems from current assignments on Möbius ladder graphs ⋮ Chromatic numbers of simplicial manifolds ⋮ Biembedding Steiner Triple Systems in Surfaces Using the Bose Construction ⋮ On the number of nonisomorphic orientable regular embeddings of complete graphs ⋮ Coloring face-hypergraphs of graphs on surfaces ⋮ Exponential families of non-isomorphic non-triangular orientable genus embeddings of complete graphs. ⋮ Biembeddings of 2-rotational Steiner triple systems ⋮ On the bi-embeddability of certain Steiner triple systems of order 15
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