Modern architecture of random graphs: Constructions and correlations

Details Modern architecture of random graphs: Constructions and correlations Modern architecture of random graphs: Constructions and correlations

2002-06-24

arxiv.org/abs/cond-mat/0206467v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, a talk given at XVIII Sitges Conference

Scientific paper

1. Basic constructions. 2. Equilibrium and nonequilibrium networks. 3. Equilibrium uncorrelated networks. 4. Nonequilibrium nongrowing scale-free nets. 5. Types of correlations. 6. When pair correlations are important. 7. When loops are important. 8. Pair degree-degree correlations in growing networks. 9. How to construct an equilibrium net with given degree-degree correlations. 10. How to construct a growing scale-free net with a given clustering (towards a real-space renormalization group for networks).

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