Classification of regular embeddings of \(n\)-dimensional cubes

DOI10.1007/s10801-010-0242-8zbMath1222.05032OpenAlexW2171732148MaRDI QIDQ626438

Roman Nedela, Domenico A. Catalano, Young Soo Kwon, Marston D. E. Conder, Shao-Fei Du, Stephen E. Wilson

Publication date: 18 February 2011

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

Full work available at URL: https://doi.org/10.1007/s10801-010-0242-8

zbMATH Keywords

regular mapscubeshypercubeschiralregular embeddings

Mathematics Subject Classification ID

Hypergraphs (05C65) Planar graphs; geometric and topological aspects of graph theory (05C10) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Related Items (11)

Nonorientable regular embeddings of graphs of order \(p^3\) ⋮ Trinity symmetry and kaleidoscopic regular maps ⋮ Regular maps of graphs of order \(4p\) ⋮ Classification of Regular Embeddings of Complete Multipartite Graphs ⋮ Orientably-regular \(p\)-maps and regular \(p\)-maps ⋮ Classification of nonorientable regular embeddings of complete bipartite graphs ⋮ Regular Cayley maps for cyclic groups ⋮ Nonorientable regular embeddings of graphs of order \(pq\) ⋮ Nilpotent primer hypermaps with hypervertices of valency a prime ⋮ Regular maps with nilpotent automorphism group ⋮ Bipartite graph embeddings, Riemann surfaces and Galois groups

Uses Software

• GAP
• Magma

Cites Work

• Unnamed Item
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