General formalism for inhomogeneous random graphs.
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.
Söderberg
Bo
B
Complex Systems Division, Department of Theoretical Physics, Lund University, Sölvegatan 14A, Sweden. Bo.Soderberg@thep.lu.se