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APPROX
2007
Springer
99views Algorithms» more  APPROX 2007»
15 years 8 months ago
Eigenvectors of Random Graphs: Nodal Domains
We initiate a systematic study of eigenvectors of random graphs. Whereas much is known about eigenvalues of graphs and how they reflect properties of the underlying graph, relati...
Yael Dekel, James R. Lee, Nathan Linial
SODA
2010
ACM
201views Algorithms» more  SODA 2010»
15 years 12 months ago
Efficient Broadcast on Random Geometric Graphs
A Random Geometric Graph (RGG) in two dimensions is constructed by distributing n nodes independently and uniformly at random in [0, n ]2 and creating edges between every pair of...
Milan Bradonji, Robert Elsässer, Tobias Friedrich...
108
Voted
ICRA
2002
IEEE
106views Robotics» more  ICRA 2002»
15 years 7 months ago
An Improved Random Neighborhood Graph Approach
As a general framework to determine a collision-free feedback motion strategies, the Random Neighborhood Graph (RNG) approach [19] defines a global navigation function over an ap...
Libo Yang, Steven M. LaValle
DATE
2007
IEEE
92views Hardware» more  DATE 2007»
15 years 8 months ago
Random sampling of moment graph: a stochastic Krylov-reduction algorithm
In this paper we introduce a new algorithm for model order reduction in the presence of parameter or process variation. Our analysis is performed using a graph interpretation of t...
Zhenhai Zhu, Joel R. Phillips
ESA
2001
Springer
132views Algorithms» more  ESA 2001»
15 years 7 months ago
Greedy Algorithms for Minimisation Problems in Random Regular Graphs
In this paper we introduce a general strategy for approximating the solution to minimisation problems in random regular graphs. We describe how the approach can be applied to the m...
Michele Zito