The Krakow-Orsay collaboration has applied methods borrowed from equilibrium statistical mechanics and analytic combinatorics to study the geometry of random networks. Results contained in a series of recent publications and concerning networks that are either uncorrelated or causal are briefly overviewed.

PACS numbers: 02.50.Cw, 05.40.--a, 05.50.+q, 87.18.Sn