Regular embeddings of complete bipartite graphs : classification and enumeration

@inproceedings{Jones2010RegularEO,
  title={Regular embeddings of complete bipartite graphs : classification and enumeration},
  author={Gareth A. Jones},
  year={2010}
}
The regular embeddings of complete bipartite graphs Kn,n in orientable surfaces are classified 5 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 Škoviera, together with results of Itô, Hall, Huppert and Wielandt on factorisable groups and on finite solvable groups. 

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References

Publications referenced by this paper.
Showing 1-10 of 29 references

Über das Produkt von paarweise vertauschbaren nilpotenten Gruppen

  • H. Wielandt
  • Math. Z
  • 1951
Highly Influential
7 Excerpts

A note on soluble groups

  • P. Hall
  • J. London Math. Soc
  • 1928
Highly Influential
15 Excerpts

Škoviera, ‘Complete bipartite graphs with a unique regular embedding

  • G. A. Jones, M. R. Nedela
  • J. Combin. Theory Ser. B
  • 2008
Highly Influential
8 Excerpts

Metacyclic case’, European J

  • S.-F. Du, G. A. Jones, +4 authors I nwhere980nisapowerof2.
  • Combin. 28
  • 2007
Highly Influential
8 Excerpts

Škoviera, ‘Regular embeddings of Kn,n where n is an odd prime power

  • G. A. Jones, M. R. Nedela
  • European J. Combin
  • 2007
Highly Influential
10 Excerpts

Automorphisms of imbedded graphs

  • N. L. Biggs
  • J. Combin. Theory Ser. B
  • 1971
Highly Influential
3 Excerpts

Some asymptotic formulas in number theory

  • P. Erdős
  • J. Indian Math. Soc
  • 1948
Highly Influential
4 Excerpts

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