Machine generated contents note:. -- 1. Introduction. -- 2. Adjacency Relationships in Networks. -- 3. Metric and Topological Structure of Networks. -- 4. Fragments (Subgraphs) in Complex Networks. -- 5. Accounting for all parts (subgraphs). -- 6. Communicability Functions in Networks. -- 7. Centrality Measures. -- 8. Global Network Invariants. -- 9. Expansion and Network Classes. -- 10. Community Structure in Networks. -- 11. Network Bipartivity. -- 12. Random Models of Networks. -- 13. Genetic Networks. -- 14. Protein Residue Networks. -- 15. Protein-protein Interaction Networks. -- 16. The Structure of Reaction Networks. -- 17. Intercellular Networks. -- 18. Networks in Ecology. -- 19. Socio-Economic Networks. -- 20. Conclusions.