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CASC
2006
Springer
106views Mathematics» more  CASC 2006»
13 years 9 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 16 days 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 7 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 5 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 23 days 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...