ISVD
2010
IEEE
13 years 10 months ago
2010
IEEE
—We study the topology of the Megaparsec Cosmic Web on the basis of the Alpha Shapes of the galaxy distribution. The simplicial complexes of the alpha shapes are used to determin...
JC
2007
13 years 11 months ago
2007
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 ...
CORR
2007
Springer
13 years 11 months ago
2007
Springer
Abstract. We give a survey of algorithms for computing topological invariants of semi-algebraic sets with special emphasis on the more recent developments in designing algorithms f...
STOC
1996
ACM
14 years 3 months ago
1996
ACM
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...
STOC
2002
ACM
14 years 11 months ago
2002
ACM
