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RSA
2010
89views more  RSA 2010»
14 years 7 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
RSA
2010
89views more  RSA 2010»
14 years 7 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...
RSA
2010
108views more  RSA 2010»
14 years 7 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
RSA
2010
104views more  RSA 2010»
14 years 7 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 4 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