Regular embeddings of \(K_{n,n}\) where \(n\) is an odd prime power
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Publication:2372446
DOI10.1016/j.ejc.2005.07.021zbMath1125.05033OpenAlexW1980683568MaRDI QIDQ2372446
Roman Nedela, Martin Škoviera, Gareth A. Jones
Publication date: 27 July 2007
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ejc.2005.07.021
Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)
Related Items (30)
Complete circular regular dessins of type \(\{2^e,2^f\}\). I: metacyclic case ⋮ Complete regular dessins of odd prime power order ⋮ Regular embeddings of \(K_{n,n}\) where \(n\) is a power of 2. I: Metacyclic case ⋮ Nonorientable regular embeddings of graphs of order \(p^3\) ⋮ On the number of genus embeddings of complete bipartite graphs ⋮ Classification of regular embeddings of hypercubes of odd dimension ⋮ Galois action on families of generalised Fermat curves ⋮ Regular maps of graphs of order \(4p\) ⋮ On even-closed regular embeddings of graphs ⋮ On the orientably-regular embeddings of graphs of order prime-cube ⋮ Classification of regular embeddings of \(n\)-dimensional cubes ⋮ On the orientable regular embeddings of complete multipartite graphs ⋮ Reflexible complete regular dessins and antibalanced skew morphisms of cyclic groups ⋮ A class of orientably-regular embeddings of graphs of order \(p^3\) ⋮ A classification of orientably-regular embeddings of complete multipartite graphs ⋮ Regular Hamiltonian embeddings of \(K_{n,n}\) and regular triangular embeddings of \(K_{n,n,n}\). ⋮ Circular regular dessins ⋮ Complete bipartite multi-graphs with a unique regular dessin ⋮ A classification of orientably edge-transitive circular embeddings of \(\mathbf{K}_{p^e, p^f}\) ⋮ Complete bipartite graphs with a unique regular embedding ⋮ Classification of nonorientable regular embeddings of complete bipartite graphs ⋮ Classification of reflexible regular embeddings and self-Petrie dual regular embeddings of complete bipartite graphs ⋮ Nonorientable regular embeddings of graphs of order \(pq\) ⋮ A characterization of regular embeddings of \(n\)-dimensional cubes ⋮ Regular embeddings of \(K_{n,n}\) where \(n\) is a power of 2. II: The non-metacyclic case ⋮ Orientably-regular embeddings of a class of multipartite graphs ⋮ Classification of some reflexible edge-transitive embeddings of complete bipartite graphs ⋮ Complete regular dessins and skew-morphisms of cyclic groups ⋮ Complete circular regular dessins of coprime orders ⋮ Bipartite graph embeddings, Riemann surfaces and Galois groups
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