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Regular embeddings of complete bipartite maps: classification and enumeration

Record type: Article

The regular embeddings of complete bipartite graphs Kn, n in orientable surfaces are classified and enumerated, and their automorphism groups and combinatorial properties are determined. The method depends on earlier classifications in the cases where n is a prime power, obtained in collaboration with Du, Kwak, Nedela and koviera, together with results of Itô, Hall, Huppert and Wielandt on factorisable groups and on finite solvable groups.

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Citation

Jones, Gareth (2010) Regular embeddings of complete bipartite maps: classification and enumeration Proceedings of the London Mathematical Society (doi:10.1112/plms/pdp061).

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e-pub ahead of print date: 7 February 2010

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Local EPrints ID: 156467
URI: http://eprints.soton.ac.uk/id/eprint/156467
ISSN: 0024-6115
PURE UUID: f26b9c47-f3d9-403f-a51d-debcd634fb1e

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Date deposited: 01 Jun 2010 09:19
Last modified: 18 Jul 2017 12:42

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