In the last decade we have gained a deep understanding of the topologies of
complex networks, with important breakthrough showing that some aspect of these
networks are universal: the small-world character and the heterogeneous
scale-free distribution, been the most relevant.
In this framework I have worked on complex networks evolution (see the BIANCONI-BARABASI MODEL) and complex networks topologies. In particular I
characterized the interplay between large scale structure and local
distribution of loops and cliques (see the page on SUBGRAPHS :LOOPS AND CLIQUES in complex networks).
I have investigated different CRITICAL CLASSICAL AND QUANTUM PHENOMENA ON NETWORKS,
and off-equilibrium CONDENSATION TRANSITIONS. I have also introduced a statistical mechanicstreatment for characterizing complex network ensembles. I have proposed to
evaluate their complexity by measuring their ENTROPY.
This quantity can be also used for INFERENCE PROBLEMS
IN NETWORKS of practical interest for analyzing social and BIOLOGICAL NETWORKS data.