The Structure of Complex Networks: Theory and Applications

by Ernesto Estrada

Overview

This book deals with the analysis of the structure of complex networks by combining results from graph theory, physics, and pattern recognition. The book is divided into two parts. 11 chapters are dedicated to the development of theoretical tools for the structural analysis of networks, and 7 chapters are illustrating, in a critical way, applications of these tools to real-world scenarios. The first chapters provide detailed coverage of adjacency and metric and topological properties of networks, followed by chapters devoted to the analysis of individual fragments and fragment-based global invariants in complex networks. Chapters that analyse the concepts of communicability, centrality, bipartivity, expansibility and communities in networks follow. The second part of this book is devoted to the analysis of genetic, protein residue, protein-protein interaction, intercellular, ecological and socio-economic networks, including important breakthroughs as well as examples of the misuse of structural concepts.

Product Details

ISBN-13:	9780191613425
Publisher:	OUP Oxford
Publication date:	10/20/2011
Sold by:	Barnes & Noble
Format:	eBook
File size:	40 MB
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About the Author

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.

Table of Contents

1. Introduction2. Adjacency Relationships in Networks3. Metric and Topological Structure of Networks4. Fragments (Subgraphs) in Complex Networks5. Accounting for all parts (subgraphs)6. Communicability Functions in Networks7. Centrality Measures8. Global Network Invariants9. Expansion and Network Classes10. Community Structure in Networks11. Network Bipartivity12. Random Models of Networks13. Genetic Networks14. Protein Residue Networks15. Protein-protein Interaction Networks16. The Structure of Reaction Networks17. Intercellular Networks18. Networks in Ecology19. Socio-Economic Networks20. Conclusions

Editorial Reviews

"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." — Contemporary Physics

From the Publisher