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CASC
2006
Springer
106views Mathematics» more  CASC 2006»
14 years 1 months ago
Simplicial Perturbation Techniques and Effective Homology
In this paper, we deal with the problem of the computation of the homology of a finite simplicial complex after an "elementary simplicial perturbation" process such as th...
Rocío González-Díaz, Bel&eacu...
SIAMDM
2010
92views more  SIAMDM 2010»
13 years 4 months ago
On Face Vectors of Barycentric Subdivisions of Manifolds
Abstract. We study face vectors of barycentric subdivisions of simplicial homology manifolds. Recently, Kubitzke and Nevo proved that the g-vector of the barycentric subdivision of...
Satoshi Murai
COMPGEOM
2008
ACM
13 years 11 months ago
Testing contractibility in planar rips complexes
toris-)Rips complex of a discrete point-set P is an abstract simplicial complex in
Erin W. Chambers, Jeff Erickson, Pratik Worah
EJC
2006
13 years 9 months ago
The topology of the independence complex
We introduce a large self-dual class of simplicial complexes for which we show that each member complex is contractible or homotopy equivalent to a sphere. Examples of complexes i...
Richard Ehrenborg, Gábor Hetyei
CORR
2011
Springer
195views Education» more  CORR 2011»
13 years 4 months ago
Simplicial Homology of Random Configurations
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...
Laurent Decreusefond, Eduardo Ferraz, Hugues Randr...