The Structure of Complex Networks: Theory and Applications

ISBN : 9780198783800

Ernesto Estrada
480 ページ
189 x 246 mm

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.


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


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.