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Coloring maps on surfaces

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Algebraic Topology Barcelona 1986

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1298))

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References

  1. K. Appel and W. Haken, Every planar map is four colorable, part I: Discharging, Illinois J. of Math. 21 (1977), 429–490.

    MathSciNet  MATH  Google Scholar 

  2. K. Appel, W. Haken and J. Koch, Every planar graph is four colorable, part II: Reducibility, Illinois J. of Math. 21 (1977), 491–567.

    MathSciNet  MATH  Google Scholar 

  3. T. Dowling, 2-and 3-valued codes for the gaussian channel, Ph. D. Thesis, University of North Carolina, 1967.

    Google Scholar 

  4. H. Glover, Graph embedding and cycle assignment in nonorientable surfaces, (in preparation).

    Google Scholar 

  5. _____, A new proof of the Heawood theorem for nonorientable surfaces, (in preparation).

    Google Scholar 

  6. _____, Graph embedding and cycle assignment in orientable surfaces, (in preparation).

    Google Scholar 

  7. _____, A new proof of the Heawood theorem for orientable surfaces, (in preparation).

    Google Scholar 

  8. A. Haefliger, Plongements différentiables dans le domaine stable, Comment. Math. Helv. 37 (1963), 155–176.

    Article  MathSciNet  MATH  Google Scholar 

  9. S.T. Hu, Isotopy invariants of topological spaces, Proc. Roy. Soc. London Ser. A 255 (1960), 331–366.

    Article  MathSciNet  MATH  Google Scholar 

  10. Y. Ladegaillerie, Classes d'isotopie de placements de l-complexes dans les surfaces, Topology 23 (1984), 303–311.

    Article  MathSciNet  MATH  Google Scholar 

  11. C.W. Patty, The fundamental group of certain deleted product spaces, Tran. Amer. Math. Soc. 105 (1962), 314–321.

    Article  MathSciNet  MATH  Google Scholar 

  12. G. Ringel, Map Color Theorem, Springer-Verlag, 1974.

    Google Scholar 

  13. G.P. Scott, Braid groups and the group of homeomorphisms of a surface, Proc. Comb. Phil. Soc. 68 (1970), 605–617.

    Article  MathSciNet  MATH  Google Scholar 

  14. J. Spencer, Maximal consistent families of triples, J. Comb. Theory 5 (1968), 1–8.

    Article  MathSciNet  MATH  Google Scholar 

  15. C. Weber, Plongement de polyèdres dans le domain métastable, Comment. Math. Helv. 42 (1967), 1–27.

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Ohio State University, 43210, Columbus, Ohio, USA

    Henry H. Glover

Authors
  1. Henry H. Glover
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J. Aguadé R. Kane

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© 1987 Springer-Verlag

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Glover, H.H. (1987). Coloring maps on surfaces. In: Aguadé, J., Kane, R. (eds) Algebraic Topology Barcelona 1986. Lecture Notes in Mathematics, vol 1298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083006

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  • DOI: https://doi.org/10.1007/BFb0083006

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18729-5

  • Online ISBN: 978-3-540-48122-5

  • eBook Packages: Springer Book Archive

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