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» Hierarchies Relating Topology and Geometry
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RSA
2010
89views more  RSA 2010»
13 years 8 months ago
Some remarks on Betti numbers of random polygon spaces
Polygon spaces like Mℓ = {(u1, · · · , un) ∈ S1 × · · · S1 ; n i=1 liui = 0}/SO(2) or they three dimensional analogues Nℓ play an important rle in geometry and topolo...
Clément Dombry, Christian Mazza
GLOBECOM
2009
IEEE
14 years 4 months ago
Hierarchical Network Formation Games in the Uplink of Multi-Hop Wireless Networks
— In this paper, we propose a game theoretic approach to tackle the problem of the distributed formation of the hierarchical network architecture that connects the nodes in the u...
Walid Saad, Quanyan Zhu, Tamer Basar, Zhu Han, Are...
COMPGEOM
2008
ACM
13 years 11 months ago
Robust construction of the three-dimensional flow complex
The Delaunay triangulation and its dual the Voronoi diagram are ubiquitous geometric complexes. From a topological standpoint, the connection has recently been made between these ...
Frédéric Cazals, Aditya G. Parameswa...
TROB
2002
138views more  TROB 2002»
13 years 9 months ago
Interference-free polyhedral configurations for stacking
This paper uses a configuration space ( -space) based method to compute interference-free configuration for stacking polyhedral sheet metal parts. This work forms the interference ...
Venkateswara R. Ayyadevara, David A. Bourne, Kenji...
COMPGEOM
2011
ACM
13 years 1 months ago
Reeb graphs: approximation and persistence
Given a continuous function f : X → IR on a topological space X, its level set f−1 (a) changes continuously as the real value a changes. Consequently, the connected components...
Tamal K. Dey, Yusu Wang