Regular embeddings of complete bipartite maps: classification and enumeration
Regular embeddings of complete bipartite maps: classification and enumeration
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.
Jones, Gareth
fdb7f584-21c5-4fe4-9e57-b58c78ebe3f5
Jones, Gareth
fdb7f584-21c5-4fe4-9e57-b58c78ebe3f5
Jones, Gareth
(2010)
Regular embeddings of complete bipartite maps: classification and enumeration.
Proceedings of the London Mathematical Society.
(doi:10.1112/plms/pdp061).
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.
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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: 14 Mar 2024 01:43
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Gareth Jones
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