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A polyhedral theory on graphs

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Abstract

This paper provides a polyhedral theory on graphs from which the criteria of Whitney and MacLane for the planarity of graphs are unified, and a brief proof of the Gauss crossing conjecture is obtained.

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Authors and Affiliations

  1. Institute of Applied Mathematics, Academia Sinica, 100080, Beijing, China

    Liu Yanpei

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  1. Liu Yanpei
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Supported by the National Natural Science Foundation of China.

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Yanpei, L. A polyhedral theory on graphs. Acta Mathematica Sinica 10, 136–142 (1994). https://doi.org/10.1007/BF02580420

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  • DOI: https://doi.org/10.1007/BF02580420

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