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    » Computing the betti numbers of arrangements
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    STOC
    2002
    ACM
    79views Algorithms» more  STOC 2002»
    Computing the betti numbers of arrangements
    14 years 5 months ago
    Computing the betti numbers of arrangements
    Download  www.math.purdue.edu
    Saugata Basu
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    STOC
    2005
    ACM
    115views Algorithms» more  STOC 2005»
    Computing the first Betti number and the connected components of semi-algebraic sets
    14 years 5 months ago
    Computing the first Betti number and the connected components of semi-algebraic sets
    Download  www.math.uchicago.edu
    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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    JC
    2007
    130views more  JC 2007»
    On the complexity of deciding connectedness and computing Betti numbers of a complex algebraic variety
    13 years 4 months ago
    On the complexity of deciding connectedness and computing Betti numbers of a complex algebraic variety
    Download  math-www.uni-paderborn.de
    We extend the lower bounds on the complexity of computing Betti numbers proved in [6] to complex algebraic varieties. More precisely, we first prove that the problem of deciding ...
    Peter Scheiblechner
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    STOC
    1996
    ACM
    197views Algorithms» more  STOC 1996»
    Computing Betti Numbers via Combinatorial Laplacians
    13 years 9 months ago
    Computing Betti Numbers via Combinatorial Laplacians
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    We use the Laplacian and power method to compute Betti numbers of simplicial complexes. This has a number of advantages over other methods, both in theory and in practice. It requ...
    Joel Friedman
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    CORR
    2006
    Springer
    89views Education» more  CORR 2006»
    Computing the First Few Betti Numbers of Semi-algebraic Sets in Single Exponential Time
    13 years 4 months ago
    Computing the First Few Betti Numbers of Semi-algebraic Sets in Single Exponential Time
    Download  www.math.purdue.edu
    Saugata Basu
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