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CP
2004
Springer
13 years 11 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
APPROX
2007
Springer
100views Algorithms» more  APPROX 2007»
13 years 12 months ago
Implementing Huge Sparse Random Graphs
Consider a scenario where one desires to simulate the execution of some graph algorithm on random input graphs of huge, perhaps even exponential size. Sampling and storing these h...
Moni Naor, Asaf Nussboim
CORR
2010
Springer
124views Education» more  CORR 2010»
13 years 5 months ago
Component Evolution in General Random Intersection Graphs
Abstract. Random intersection graphs (RIGs) are an important random structure with algorithmic applications in social networks, epidemic networks, blog readership, and wireless sen...
Milan Bradonjic, Aric A. Hagberg, Nicolas W. Henga...
JCT
2008
65views more  JCT 2008»
13 years 5 months ago
Random graphs on surfaces
Counting labelled planar graphs, and typical properties of random labelled planar graphs, have received much attention recently. We start the process here of extending these invest...
Colin McDiarmid
STOC
2000
ACM
112views Algorithms» more  STOC 2000»
13 years 10 months ago
A random graph model for massive graphs
We propose a random graph model which is a special case of sparse random graphs with given degree sequences. This model involves only a small number of parameters, called logsize ...
William Aiello, Fan R. K. Chung, Linyuan Lu