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» Computation of Homology Groups and Generators
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FOCM
2011
96views more  FOCM 2011»
12 years 9 months ago
Persistent Intersection Homology
The theory of intersection homology was developed to study the singularities of a topologically stratified space. This paper incorporates this theory into the already developed f...
Paul Bendich, John Harer
CORR
2010
Springer
65views Education» more  CORR 2010»
13 years 3 months ago
Uniqueness of models in persistent homology: the case of curves
We consider generic curves in R2 , i.e. generic C1 functions f : S1 R2 . We analyze these curves through the persistent homology groups of a filtration induced on S1 by f. In parti...
Patrizio Frosini, Claudia Landi
BMCBI
2006
72views more  BMCBI 2006»
13 years 6 months ago
Cluster analysis of networks generated through homology: automatic identification of important protein communities involved in c
Background: Protein-protein interactions have traditionally been studied on a small scale, using classical biochemical methods to investigate the proteins of interest. More recent...
Pall F. Jonsson, Tamara Cavanna, Daniel Zicha, Pau...
ICIP
2002
IEEE
14 years 7 months ago
Analysis of blood vessel topology by cubical homology
In this note, we segment and topologically classify brain vessel data obtained from magnetic resonance angiography (MRA). The segmentation is done adaptively and the classificatio...
Konstantin Mischaikow, Pawel Pilarczyk, William D....
FOCS
1997
IEEE
13 years 10 months ago
Computable Obstructions to Wait-free Computability
Abstract. We show how to associate e ectively computableobstructions to a waitfree distributed decision task (I;O; ) in the asynchronous shared-memory, readwrite model. The key new...
John Havlicek