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...

Full description

Bibliographic Details
Main Author: Jones, Gareth (Author)
Format: Article
Language:English
Published: 2010-02-07.
Subjects:
Online Access:Get fulltext
LEADER 00799 am a22001213u 4500
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