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SIROCCO
2000
13 years 9 months ago
On time versus size for monotone dynamic monopolies in regular topologies
: We consider a well known distributed coloring game played on a simple connected graph: initially, each vertex is colored black or white; at each round, each vertex simultaneously...
Paola Flocchini, Rastislav Kralovic, Alessandro Ro...
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,...
COCO
2007
Springer
93views Algorithms» more  COCO 2007»
14 years 1 months ago
S-T Connectivity on Digraphs with a Known Stationary Distribution
We present a deterministic logspace algorithm for solving S-T Connectivity on directed graphs if (i) we are given a stationary distribution of the random walk on the graph in whic...
Kai-Min Chung, Omer Reingold, Salil P. Vadhan
WAOA
2005
Springer
142views Algorithms» more  WAOA 2005»
14 years 1 months ago
On the Minimum Load Coloring Problem
Given a graph G = (V, E) with n vertices, m edges and maximum vertex degree ∆, the load distribution of a coloring ϕ : V → {red, blue} is a pair dϕ = (rϕ, bϕ), where rϕ i...
Nitin Ahuja, Andreas Baltz, Benjamin Doerr, Ales P...
ENDM
2006
70views more  ENDM 2006»
13 years 7 months ago
Quasirandomness in Graphs
Jim Propp's rotor router model is a simple deterministic analogue of a random walk. Instead of distributing chips randomly, it serves the neighbors in a fixed order. We analy...
Benjamin Doerr, Tobias Friedrich