Random Graph Models with Hidden Color

Details Random Graph Models with Hidden Color Random Graph Models with Hidden Color

2003-07-24

arxiv.org/abs/cond-mat/0307617v1

Acta Physica Polonica B 34, 5085-5102 (2003)

Physics

Condensed Matter

Soft Condensed Matter

17 pages, 2 figures; contrib. to the Workshop on Random Geometry in Krakow, May 2003

Scientific paper

We demonstrate how to generalize two of the most well-known random graph models, the classic random graph, and random graphs with a given degree distribution, by the introduction of hidden variables in the form of extra degrees of freedom, color, applied to vertices or stubs (half-edges). The color is assumed unobservable, but is allowed to affect edge probabilities. This serves as a convenient method to define very general classes of models within a common unifying formalism, and allowing for a non-trivial edge correlation structure.

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