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On the topology of planar algebraic curves

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Academic year: 2021

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Figure 1: (a) Maple plot and isotopic graph computed by isotop of the curve of equation 16 x 5 − 20 x 3 + 5 x − 4 y 3 + 3 y = 0
Figure 2: Distributions of (a) degrees and (b) num- num-ber of critical points in our 650 examples.
Figure 3: Distributions of running time ratios for (a) Cad2d, (b) Alcix, (c) Top, and (d) Insulate over isotop.
Table 1: Running times in seconds (averaged over 5 runs) for random bivariate polynomials with 50% non-zero coefficients of bitsize 32.

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