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» The Cover Time of Random Digraphs
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RSA
2008
118views more  RSA 2008»
13 years 7 months ago
The cover time of the giant component of a random graph
We study the cover time of a random walk on the largest component of the random graph Gn,p. We determine its value up to a factor 1 + o(1) whenever np = c > 1, c = O(ln n). In ...
Colin Cooper, Alan M. Frieze
SODA
2003
ACM
126views Algorithms» more  SODA 2003»
13 years 9 months ago
The cover time of sparse random graphs
We study the cover time of a random walk on graphs G ∈ Gn,p when p = c log n
Colin Cooper, Alan M. Frieze
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
ICALP
2009
Springer
14 years 8 months ago
Tight Bounds for the Cover Time of Multiple Random Walks
We study the cover time of multiple random walks. Given a graph G of n vertices, assume that k independent random walks start from the same vertex. The parameter of interest is the...
Robert Elsässer, Thomas Sauerwald
JCT
2007
108views more  JCT 2007»
13 years 7 months ago
The cover time of the preferential attachment graph
The preferential attachment graph Gm(n) is a random graph formed by adding a new vertex at each time step, with m edges which point to vertices selected at random with probability...
Colin Cooper, Alan M. Frieze