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

Hoon Hong

Mathematics and Computers in Simulation (MATCOM), 1996, vol. 42, issue 4, 571-582

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.

Keywords: Topology; Algebraic curve; Real roots; Isolation; Counting (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:42:y:1996:i:4:p:571-582

DOI: 10.1016/S0378-4754(96)00034-1

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