Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-11-04
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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