Defining statistical ensembles of random graphs

Details Defining statistical ensembles of random graphs Defining statistical ensembles of random graphs

2001-10-27

arxiv.org/abs/cond-mat/0110574v3

Physics

Condensed Matter

Statistical Mechanics

11 latex pages, 4 eps figures, talk at the workshop "Discrete random geometries and quantum gravity", Utrecht, October 2001, c

Scientific paper

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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