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Analyze Random Graph Models

Analyze component sizes, degree distributions, power laws, and other properties of random graph models using graph distributions.

    
Uniform graph distribution:
Wolfram Language code: graphs = RandomGraph[UniformGraphDistribution[10, 20], 104];
Wolfram Language code: Histogram[VertexDegree[#, 1]& /@ graphs]
Bernoulli graph distribution:
Wolfram Language code: graphs = RandomGraph[BernoulliGraphDistribution[10, 0.7], 104];
Wolfram Language code: Histogram[VertexDegree[#, 1]& /@ graphs]
Barabasi–Albert graph distribution:
Wolfram Language code: graphs = RandomGraph[BarabasiAlbertGraphDistribution[500, 3]];
Wolfram Language code: Histogram[VertexDegree[graphs], {"Log", 10}]
Price graph distribution:
Wolfram Language code: graphs = RandomGraph[PriceGraphDistribution[103, 3, 1]];
Wolfram Language code: Histogram[VertexDegree[graphs], {"Log", 10}]