Regular embeddings of complete bipartite graphs

DOI10.1016/S0012-365X(02)00539-3zbMath1009.05049MaRDI QIDQ1850076

Andrej Zlatoš, Roman Nedela, Martin Škoviera

Publication date: 2 December 2002

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

Mathematics Subject Classification ID

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

Related Items (26)

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 ⋮ Regular embeddings of \(K_{n,n}\) where \(n\) is an odd prime power ⋮ Nonorientable regular embeddings of graphs of order \(p^3\) ⋮ 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 ⋮ 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 \(pq\) ⋮ Regular embeddings of complete multipartite graphs ⋮ Nonorientable regular embeddings of graphs of order \(p^{2}\) ⋮ A characterization of regular embeddings of \(n\)-dimensional cubes ⋮ 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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