2012 · 116 citations · 18 references
ComputingData ScienceComputer NetworksStatisticsStochastic ModelingGraph AlgorithmsGraph AnalyticsGraph TheoryMarkov Chain Monte CarloNetwork ModelingDegree DistributionMarkov Chain Monte Carlo InferenceNetwork SamplingRandom Graph TheoryRandom GraphsSubgraph CountingUniform Random Sampling
Graphlet frequency distribution (GFD) has recently become popular for characterizing large networks. However, the computation of GFD for a network requires the exact count of embedded graphlets in that network, which is a computationally expensive task. As a result, it is practically infeasible to compute the GFD for even a moderately large network. In this paper, we propose GUISE, which uses a Markov Chain Monte Carlo (MCMC) sampling method for constructing the approximate GFD of a large network. Our experiments on networks with millions of nodes show that GUISE obtains the GFD within few minutes, whereas the exhaustive counting based approach takes several days.
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Collective dynamics of ‘small-world’ networks
Duncan J. Watts, Steven H. Strogatz · Nature · 1998 · 43.2K citations
Emergence of Scaling in Random Networks
Albert-Ĺaszló Barabási, Réka Albert · Science · 1999 · 36.4K citations · Full text
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Biological network comparison using graphlet degree distribution
Nataša Pržulj · Bioinformatics · 2007 · 861 citations · Full text