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On the embedding of complete graphs in orientable surfaces

Published online by Cambridge University Press:  26 February 2010

D. E. Cohen ,
F. Harary  and
Y. Kodama
D. E. Cohen
Affiliation:
Birkbeck College, London.
F. Harary
Affiliation:
University College, London.
Y. Kodama
Affiliation:
University College, Tokosuka.
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Extract

Our purpose is to develop a new and simple procedure for embedding graphs into orientable surfaces. This will involve the identification of the oriented edges of two oriented polygons, subject to certain rules.

Type
Research Article
Information
Mathematika , Volume 10 , Issue 1 , June 1963 , pp. 79 - 83
Copyright
Copyright © University College London 1963

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References

1. Ball, W. W. R. and Coxeter, H. S. M., Mathematical recreations and essays (London, 1942).Google Scholar
2. König, D., Theorie der endlichen und unendlichen Graphen (Leipzig, 1936; reprinted New York, 1950).Google Scholar
3. Ringel, G., Fürbungsprobleme auf Flächen und Graphen (VEB Deutscher VerLig Wiss., Berlin, 1959).Google Scholar
4. Seifert, H. and Threlfall, W., Lehrbuch der Topologie (Leipzig, 1934; reprinted New York, 1947).Google Scholar