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An efficient method for analyzing the topology of plane real algebraic curves

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  • Hong, Hoon

Abstract

A practically efficient algorithm for analyzing the topology of plane real algebraic curves is given. Given a bivariate polynomial, the algorithm produces a planar graph which is topologically equivalent to the real variety of the polynomial on the Euclidean plane.

Suggested Citation

  • Hong, Hoon, 1996. "An efficient method for analyzing the topology of plane real algebraic curves," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 42(4), pages 571-582.
    • Handle: RePEc:eee:matcom:v:42:y:1996:i:4:p:571-582
    DOI: 10.1016/S0378-4754(96)00034-1
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    Cited by:

    1. Elena Campo-Montalvo & Marián Fernández de Sevilla & Sonia Pérez-Díaz, 2022. "Asymptotic Behavior of a Surface Implicitly Defined," Mathematics, MDPI, vol. 10(9), pages 1-19, April.

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