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» The isoperimetric constant of the random graph process
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WWW
2010
ACM
15 years 6 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
14 years 11 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»
14 years 11 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
15 years 6 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»
15 years 9 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