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» The Diameter of Sparse Random Graphs
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PODC
2009
ACM
14 years 10 months ago
Fast distributed random walks
Performing random walks in networks is a fundamental primitive that has found applications in many areas of computer science, including distributed computing. In this paper, we fo...
Atish Das Sarma, Danupon Nanongkai, Gopal Panduran...
PODC
2004
ACM
14 years 3 months ago
Analyzing Kleinberg's (and other) small-world Models
We analyze the properties of Small-World networks, where links are much more likely to connect “neighbor nodes” than distant nodes. In particular, our analysis provides new re...
Charles U. Martel, Van Nguyen
CP
2004
Springer
14 years 3 months ago
How Much Backtracking Does It Take to Color Random Graphs? Rigorous Results on Heavy Tails
Many backtracking algorithms exhibit heavy-tailed distributions, in which their running time is often much longer than their median. We analyze the behavior of two natural variant...
Haixia Jia, Cristopher Moore
COMBINATORICA
2007
117views more  COMBINATORICA 2007»
13 years 9 months ago
Embedding nearly-spanning bounded degree trees
We derive a sufficient condition for a sparse graph G on n vertices to contain a copy of a tree T of maximum degree at most d on (1 − )n vertices, in terms of the expansion prop...
Noga Alon, Michael Krivelevich, Benny Sudakov
SIGMETRICS
2003
ACM
150views Hardware» more  SIGMETRICS 2003»
14 years 3 months ago
Conductance and congestion in power law graphs
It has been observed that the degrees of the topologies of several communication networks follow heavy tailed statistics. What is the impact of such heavy tailed statistics on the...
Christos Gkantsidis, Milena Mihail, Amin Saberi