  Much recent research activity has been devoted to empirical study and
theoretical models of complex networks (random graphs) with three qualitative
features: power-law degree distribution, local clustering of edges, and small
diameter. We point out a new (in this context) platform for such models -- the
stochastic mean-field model of distance -- and within this platform study a
simple two-parameter proportional attachment model. The model is
mathematicallly natural, permits a wide variety of explicit calculations, has
the desired three qualitative features, and fits the complete range of degree
scaling exponents and clustering parameters; in these respects it compares
favorably to existing models.
