Classification of regular embeddings of hypercubes of odd dimension
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Publication:861801
DOI10.1016/j.disc.2006.05.035zbMath1112.05027OpenAlexW2019628954MaRDI QIDQ861801
Roman Nedela, Shao-Fei Du, Jin Ho Kwok
Publication date: 2 February 2007
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.disc.2006.05.035
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)
Related Items (13)
Regular embeddings of \(K_{n,n}\) where \(n\) is a power of 2. I: Metacyclic case ⋮ Nonorientable regular embeddings of graphs of order \(p^3\) ⋮ Nonexistence of nonorientable regular embeddings of \(n\)-dimensional cubes ⋮ Regular maps of graphs of order \(4p\) ⋮ Classification of primer hypermaps with a prime number of hyperfaces ⋮ Classification of regular embeddings of \(n\)-dimensional cubes ⋮ Regular Hamiltonian embeddings of \(K_{n,n}\) and regular triangular embeddings of \(K_{n,n,n}\). ⋮ A classification of primer hypermaps with a product of two primes number of hyperfaces ⋮ A classification of regular embeddings of hypercubes \(Q_{2m}\) with \(m\) odd ⋮ 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 ⋮ A sufficient condition for a tree to be \((\Delta+1)\)-\((2,1)\)-totally labelable
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