A General Formalism for Inhomogeneous Random Graphs

Details A General Formalism for Inhomogeneous Random Graphs A General Formalism for Inhomogeneous Random Graphs

2002-11-04

arxiv.org/abs/cond-mat/0211063v1

Physical Review E 66, 066121 (2002)

Physics

Condensed Matter

Statistical Mechanics

7 pages, no figures. To appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.66.066121

We present and investigate an extension of the classical random graph to a general class of inhomogeneous random graph models, where vertices come in different types, and the probability of realizing an edge depends on the types of its terminal vertices. This approach provides a general framework for the analysis of a large class of models. The generic phase structure is derived using generating function techniques, and relations to other classes of models are pointed out.

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