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RSA
2011
157views more  RSA 2011»
13 years 2 months ago
The cover time of random geometric graphs
We study the cover time of random geometric graphs. Let I(d) = [0, 1]d denote the unit torus in d dimensions. Let D(x, r) denote the ball (disc) of radius r. Let Υd be the volume...
Colin Cooper, Alan M. Frieze
AI
2008
Springer
13 years 7 months ago
Conditional independence and chain event graphs
Graphs provide an excellent framework for interrogating symmetric models of measurement random variables and discovering their implied conditional independence structure. However,...
Jim Q. Smith, Paul E. Anderson
CPC
2006
116views more  CPC 2006»
13 years 7 months ago
Finding Large Independent Sets in Polynomial Expected Time
We consider instances of the maximum independent set problem that are constructed according to the following semirandom model. Let Gn,p be a random graph, and let S be a set consis...
Amin Coja-Oghlan
COMBINATORICS
2006
131views more  COMBINATORICS 2006»
13 years 7 months ago
Encores on Cores
We give a new derivation of the threshold of appearance of the k-core of a random graph. Our method uses a hybrid model obtained from a simple model of random graphs based on rand...
Julie Cain, Nicholas C. Wormald
STOC
2002
ACM
124views Algorithms» more  STOC 2002»
14 years 8 months ago
Clairvoyant scheduling of random walks
Two infinite walks on the same finite graph are called compatible if it is possible to introduce delays into them in such a way that they never collide. Years ago, Peter Winkler a...
Péter Gács