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    2005
    ACM
    115views Algorithms» more  STOC 2005»
    Computing the first Betti number and the connected components of semi-algebraic sets
    14 years 4 months ago
    Computing the first Betti number and the connected components of semi-algebraic sets
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    In this paper we describe the first singly exponential algorithm for computing the first Betti number of a given semi-algebraic set. We also describe algorithms for obtaining semi...
    Saugata Basu, Richard Pollack, Marie-Franço...
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