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» The Cover Time of Deterministic Random Walks
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JCT
2007
108views more  JCT 2007»
13 years 5 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
MSWIM
2006
ACM
13 years 11 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
SIAMDM
2010
111views more  SIAMDM 2010»
13 years 15 days ago
Random Walks with Look-Ahead in Scale-Free Random Graphs
If m 2 is constant and 0 r log log n for a small positive constant , then whp a random walk with look-ahead r on a scale-free graph G = G(m, n) has cover time CG(r) (2/(mr-1(...
Colin Cooper, Alan M. Frieze
RSA
2011
157views more  RSA 2011»
13 years 21 days 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
ENDM
2006
70views more  ENDM 2006»
13 years 5 months ago
Quasirandomness in Graphs
Jim Propp's rotor router model is a simple deterministic analogue of a random walk. Instead of distributing chips randomly, it serves the neighbors in a fixed order. We analy...
Benjamin Doerr, Tobias Friedrich