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RSA
2011
157views more  RSA 2011»
13 years 5 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
RSA
2008
118views more  RSA 2008»
13 years 10 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
DCOSS
2010
Springer
13 years 11 months ago
Self-stabilizing Synchronization in Mobile Sensor Networks with Covering
Synchronization is widely considered as an important service in distributed systems which may simplify protocol design. Phase clock is a general synchronization tool that provides ...
Joffroy Beauquier, Janna Burman
SODA
2003
ACM
126views Algorithms» more  SODA 2003»
14 years 7 days 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
MSWIM
2006
ACM
14 years 4 months ago
The power of choice in random walks: an empirical study
In recent years different authors have proposed the used of random-walk-based algorithms for varying tasks in the networking community. These proposals include searching, routing...
Chen Avin, Bhaskar Krishnamachari
ICALP
2009
Springer
14 years 11 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