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 wi...
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Format: | Article |
Language: | English |
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2010-02-07.
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Online Access: | Get fulltext |
LEADER | 00799 am a22001213u 4500 | ||
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001 | 156467 | ||
042 | |a dc | ||
100 | 1 | 0 | |a Jones, Gareth |e author |
245 | 0 | 0 | |a Regular embeddings of complete bipartite maps: classification and enumeration |
260 | |c 2010-02-07. | ||
856 | |z Get fulltext |u https://eprints.soton.ac.uk/156467/1/BipPLMSNewProof.pdf | ||
520 | |a 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. | ||
655 | 7 | |a Article |