The Structure of Complex Networks

Ernesto Estrada obtained a PhD in Mathematical Chemistry from the Central University of Las Villas, Cuba in 1997 and completed post-doctoral studies at the University of Valencia, Spain and the Hebrew University of Jerusalem, Israel. In 2008 he was appointed Professor and Chair in Complexity Science at the Department of Mathematics and Statistics and the Department of Physics, University of Strathclyde, Glasgow, U.K. In 2005 he was elected fellow of the International Academy of Mathematical Chemistry (IAMC) and in 2007 he received the IAMC award as Outstanding Scientist for his multidisciplinary research in the field of complex networks. Estrada has published more than 140 scientific papers and has made seminal pioneering contributions in the areas of network matrix functions, communicability, bipartivity, subgraph centrality, generalised topological indices and the so-called Estrada index of a network.

The author presents an up-to-date overview of the study of network structure that is a pleasure to read. It is a great resource for everybody working with complex networks.

• 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