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» The topology of the independence complex
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GIS
2010
ACM
13 years 8 months ago
Topological reasoning between complex regions in databases with frequent updates
Reasoning about space has been a considerable field of study both in Artificial Intelligence and in spatial information theory. Many applications benefit from the inference of ...
Arif Khan, Markus Schneider
DGCI
2006
Springer
14 years 1 months ago
Topological and Geometrical Reconstruction of Complex Objects on Irregular Isothetic Grids
In this paper, we address the problem of vectorization of binary images on irregular isothetic grids. The representation of graphical elements by lines is common in document analys...
Antoine Vacavant, David Coeurjolly, Laure Tougne
GD
2009
Springer
14 years 1 months ago
Complexity of Some Geometric and Topological Problems
We show that recognizing intersection graphs of convex sets has the same complexity as deciding truth in the existential theory of the reals. Comparing this to similar results on t...
Marcus Schaefer
CORR
2006
Springer
105views Education» more  CORR 2006»
13 years 9 months ago
Cohomology in Grothendieck Topologies and Lower Bounds in Boolean Complexity II: A Simple Example
In a previous paper we have suggested a number of ideas to attack circuit size complexity with cohomology. As a simple example, we take circuits that can only compute the AND of t...
Joel Friedman