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RSA
2010
89views more  RSA 2010»
14 years 10 months ago
Edge flows in the complete random-lengths network
Consider the complete n-vertex graph whose edge-lengths are independent exponentially distributed random variables. Simultaneously for each pair of vertices, put a constant flow ...
David J. Aldous, Shankar Bhamidi
87
Voted
RSA
2010
89views more  RSA 2010»
14 years 10 months ago
A system of grabbing particles related to Galton-Watson trees
We consider a system of particles with arms that are activated randomly to grab other particles as a toy model for polymerization. We assume that the following two rules are ful...
Jean Bertoin, Vladas Sidoravicius, Maria Eulalia V...
92
Voted
RSA
2010
108views more  RSA 2010»
14 years 10 months ago
Resolvent of large random graphs
We analyze the convergence of the spectrum of large random graphs to the spectrum of a limit infinite graph. We apply these results to graphs converging locally to trees and deri...
Charles Bordenave, Marc Lelarge
86
Voted
RSA
2010
104views more  RSA 2010»
14 years 10 months ago
An approximation algorithm for counting contingency tables
Abstract. We present a randomized approximation algorithm for counting contingency tables, m × n non-negative integer matrices with given row sums R = (r1, . . . , rm) and column ...
Alexander I. Barvinok, Zur Luria, Alex Samorodnits...
RSA
2011
102views more  RSA 2011»
14 years 7 months ago
Dependent random choice
: We describe a simple and yet surprisingly powerful probabilistic technique which shows how to find in a dense graph a large subset of vertices in which all (or almost all) small...
Jacob Fox, Benny Sudakov