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» The isoperimetric constant of the random graph process
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WWW
2010
ACM
14 years 2 months ago
Tracking the random surfer: empirically measured teleportation parameters in PageRank
PageRank computes the importance of each node in a directed graph under a random surfer model governed by a teleportation parameter. Commonly denoted alpha, this parameter models ...
David F. Gleich, Paul G. Constantine, Abraham D. F...
EJC
2007
13 years 7 months ago
Deterministic random walks on the integers
Jim Propp’s P-machine, also known as the ‘rotor router model’ is a simple deterministic process that simulates a random walk on a graph. Instead of distributing chips to ran...
Joshua N. Cooper, Benjamin Doerr, Joel H. Spencer,...
COMBINATORICA
2007
129views more  COMBINATORICA 2007»
13 years 7 months ago
Birth control for giants
The standard Erd˝os-Renyi model of random graphs begins with n isolated vertices, and at each round a random edge is added. Parametrizing n 2 rounds as one time unit, a phase tra...
Joel H. Spencer, Nicholas C. Wormald
SPAA
2009
ACM
14 years 2 months ago
Locally scalable randomized consensus for synchronous crash failures
We consider bit communication complexity of binary consensus in synchronous message passing systems with processes prone to crashes. A distributed algorithm is locally scalable wh...
Bogdan S. Chlebus, Dariusz R. Kowalski
SODA
2010
ACM
197views Algorithms» more  SODA 2010»
14 years 5 months ago
Quasirandom Load Balancing
We propose a simple distributed algorithm for balancing indivisible tokens on graphs. The algorithm is completely deterministic, though it tries to imitate (and enhance) a random ...
Tobias Friedrich, Martin Gairing, Thomas Sauerwald