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APPROX
2007
Springer
100views Algorithms» more  APPROX 2007»
14 years 1 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
BIOINFORMATICS
2007
83views more  BIOINFORMATICS 2007»
13 years 7 months ago
Exploring biological network structure using exponential random graph models
Motivation: The functioning of biological networks depends in large part on their complex underlying structure. When studying their systemic nature many modeling approaches focus ...
Zachary M. Saul, Vladimir Filkov
CPC
2007
125views more  CPC 2007»
13 years 7 months ago
Adversarial Deletion in a Scale-Free Random Graph Process
We study a dynamically evolving random graph which adds vertices and edges using preferential attachment and is “attacked by an adversary”. At time t, we add a new vertex xt a...
Abraham D. Flaxman, Alan M. Frieze, Juan Vera
RSA
2010
104views more  RSA 2010»
13 years 6 months ago
Random graphs with forbidden vertex degrees
We study the random graph Gn,λ/n conditioned on the event that all vertex degrees lie in some given subset S of the nonnegative integers. Subject to a certain hypothesis on S, the...
Geoffrey R. Grimmett, Svante Janson
CP
2004
Springer
14 years 1 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