Nonexistence of nonorientable regular embeddings of \(n\)-dimensional cubes

DOI10.1016/j.disc.2005.09.041zbMath1109.05034OpenAlexW1985317622MaRDI QIDQ864139

Roman Nedela, Young Soo Kwon

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.disc.2005.09.041

zbMATH Keywords

surfacegraphregular mapgroup

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10)

Related Items (12)

Nonorientable regular embeddings of graphs of order \(p^3\) ⋮ Classification of regular embeddings of hypercubes of odd dimension ⋮ Classification of nonorientable regular embeddings of Cartesian products of graphs ⋮ Classification of regular embeddings of \(n\)-dimensional cubes ⋮ Classification of Regular Embeddings of Complete Multipartite Graphs ⋮ Orientably-regular \(p\)-maps and regular \(p\)-maps ⋮ Classification of nonorientable regular embeddings of Hamming graphs ⋮ A classification of regular embeddings of hypercubes \(Q_{2m}\) with \(m\) odd ⋮ Classification of nonorientable regular embeddings of complete bipartite graphs ⋮ Nonorientable regular embeddings of graphs of order \(pq\) ⋮ Nonorientable regular embeddings of graphs of order \(p^{2}\) ⋮ A characterization of regular embeddings of \(n\)-dimensional cubes

Cites Work

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• Classification of regular embeddings of hypercubes of odd dimension
• Regular combinatorial maps
• Cantankerous maps and rotary embeddings of \(K_ n\)
• Regular maps from voltage assignments and exponent groups
• Operations on maps, and outer automorphisms
• Theory of Maps on Orientable Surfaces
• Characterisation of Graphs which Underlie Regular Maps on Closed Surfaces
• New regular embeddings of n‐cubes Q_n

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