Classification of nonorientable regular embeddings of Hamming graphs

DOI10.1016/j.ejc.2012.04.001zbMath1248.05124arXiv1107.3187OpenAlexW2038028295MaRDI QIDQ449207

Gareth A. Jones, Young Soo Kwon

Publication date: 12 September 2012

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.3187

zbMATH Keywords

2-cell embedding of a graph in a compact connected surface

Mathematics Subject Classification ID

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

Related Items (2)

Classification of nonorientable regular embeddings of Cartesian products of graphs ⋮ Classification of Regular Embeddings of Complete Multipartite Graphs

Cites Work

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• Classification of nonorientable regular embeddings of complete bipartite graphs
• Nonexistence of nonorientable regular embeddings of \(n\)-dimensional cubes
• Regular maps and hypermaps of Euler characteristic \(-1\) to \(-200\)
• Regular combinatorial maps
• Regular orientable imbeddings of complete graphs
• Operators over regular maps
• Cantankerous maps and rotary embeddings of \(K_ n\)
• Operations on maps, and outer automorphisms
• Classification and Galois conjugacy of Hamming maps
• Theory of Maps on Orientable Surfaces
• Characterisation of Graphs which Underlie Regular Maps on Closed Surfaces

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