Regular embeddings of complete bipartite maps: classification and enumeration


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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Description/Abstract

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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1112/plms/pdp061
ISSNs: 0024-6115 (print)
ePrint ID: 156467
Date :
Date Event
7 February 2010e-pub ahead of print
Date Deposited: 01 Jun 2010 09:19
Last Modified: 18 Apr 2017 04:01
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/156467

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