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» The cover time of sparse random graphs
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SIAMCOMP
1998
124views more  SIAMCOMP 1998»
13 years 4 months ago
Near-Linear Time Construction of Sparse Neighborhood Covers
This paper introduces a near-linear time sequential algorithm for constructing a sparse neighborhood cover. This implies analogous improvements (from quadratic to near-linear time)...
Baruch Awerbuch, Bonnie Berger, Lenore Cowen, Davi...
ICALP
2009
Springer
14 years 5 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
RSA
2008
118views more  RSA 2008»
13 years 4 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
RSA
2011
157views more  RSA 2011»
12 years 11 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
MFCS
2007
Springer
13 years 11 months ago
Expander Properties and the Cover Time of Random Intersection Graphs
Sotiris E. Nikoletseas, Christoforos Raptopoulos, ...