78 search results - page 1 / 16 » An Incremental Algorithm for Betti Numbers of Simplicial Com... |
COMPGEOM
1993
ACM
13 years 9 months ago
1993
ACM
STOC
1996
ACM
13 years 9 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...
CORR
2011
Springer
13 years 12 days ago
2011
Springer
Given a Poisson process on a d-dimensional torus, its random geometric simplicial complex is the complex whose vertices are the points of the Poisson process and simplices are give...
CORR
2008
Springer
13 years 5 months ago
2008
Springer
We develop a method for measuring homology classes. This involves three problems. First, we define the size of a homology class, using ideas from relative homology. Second, we defi...
ISVD
2010
IEEE
13 years 3 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...