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» The Cover Time of Random Digraphs
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RSA
2008
118views more  RSA 2008»
14 years 9 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»
14 years 11 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»
14 years 4 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
15 years 9 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»
14 years 9 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