Ernesto Estrada is a Professor in Mathematics at the University of Strathclyde, UK. He is the Chair in Complexity Science since 2008 and the 1964 Chair in Mathematics since 2014. He holds the Wolfson Research Merit Award from the Royal Society and has published more than 160 papers and 10 book chapters. He is the author of The Structure of Complex Networks: Theory and Applications, published by Oxford University Press (OUP) in 2011. Professor Estrada is also the Editor-in-Chief of the Journal of Complex Networks published by OUP. His research interests are in the mathematical analysis of networks, the use of physical analogies to study networks and applications of network theory to society, chemistry, biology, ecology and engineering.

Philip Knight is a Lecturer in Mathematics at the University of Strathclyde, UK. He obtained his PhD in Mathematics from the University of Manchester in 1993 and has spent most of his career carrying out research into matrix algebra. His interest in applications drew him inexorably towards network theory and his research interests now centre on the algebraic structure of networks as well as on the use of networks to represent other mathematical structures. More recently, Dr Knight has been involved in teaching courses on network theory in different countries and is well regarded among students for his expository abilities.

• 1: Introduction


• 2: General Concepts in Network Theory


• 3: How To Prove It?


• 4: Data Analysis


• 5: Algebraic Concepts in Network Theory


• 6: Spectra of Adjacency Matrices


• 7: The Network Laplacian


• 8: Classical Physcis Analogies


• 9: Degree Distributions


• 10: Clustering Coefficients of Networks


• 11: Random Models of Networks


• 12: Matrix Functions


• 13: Fragment Based Measures


• 14: Classical Node Centrality


• 15: Spectral Node Centrality


• 16: Quantum Physcis Analogies


• 17: Global Properties of Networks I


• 18: Global properties of networks II


• 19: Communicability in Networks


• 20: Statistical Physics Analogies


• 21: Communities in Networks