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The classification of closed surfaces using colored graphs

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Abstract

A short graph theoretic proof of the classification of closed surfaces is given. The new proof has the feature that the symmetric canonical graphs for the surfaces do not correspond to the canonical polygons in the usual proof of the classification.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of Florida, 32611, Gainesville, FL, USA

    Andrew Vince

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  1. Andrew Vince
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Vince, A. The classification of closed surfaces using colored graphs. Graphs and Combinatorics 9, 75–84 (1993). https://doi.org/10.1007/BF01195329

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  • DOI: https://doi.org/10.1007/BF01195329

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