Complexity of Planar and Spherical Curves

نویسنده

  • TAHL NOWIK
چکیده

We show that the maximal number of singular moves required to pass between any two regularly homotopic planar or spherical curves with at most n crossings, grows quadratically with respect to n. Furthermore, this can be done with all curves along the way having at most n + 2 crossings.

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تاریخ انتشار 2008