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arxiv: cond-mat/0110574 · v3 · submitted 2001-10-27 · ❄️ cond-mat.stat-mech · cond-mat.dis-nn

Defining statistical ensembles of random graphs

classification ❄️ cond-mat.stat-mech cond-mat.dis-nn
keywords graphsdefiningensemblerandomstatisticalarbitraryclassesconnectivity
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The problem of defining a statistical ensemble of random graphs with an arbitrary connectivity distribution is discussed. Introducing such an ensemble is a step towards uderstanding the geometry of wide classes of graphs independently of any specific model. This research was triggered by the recent interest in the so-called scale-free networks.

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