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Curve singularities and graphs

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Abstract

To each curve singularity there associates a tree with suitably defined weights and special paths. These combinatorial data reflect the topological properties of the singularity. It is shown that such a curve can be specified by several axioms, so that every tree satisfying these axioms arises from a curve singularity.

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Authors and Affiliations

  1. Department of Mathematics, Fudan University, People's Republic of China

    Yang Jingen

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  1. Yang Jingen
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Project Supported by the Science Fund of the Chinese Academy of Sciences.

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Jingen, Y. Curve singularities and graphs. Acta Mathematica Sinica 6, 87–96 (1990). https://doi.org/10.1007/BF02108868

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  • DOI: https://doi.org/10.1007/BF02108868

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