Generating Random Networks and Graphs

This book describes how to correctly and efficiently generate random networks based on certain constraints. Being able to test a hypothesis against a properly specified control case is at the heart of the 'scientific method'.

A.C.C. Coolen, Professor of Applied Mathematics, Institute for Mathematical and Molecular Biomedicine, King's College London, UK,A. Annibale, Lecturer in Disordered Systems, Institute for Mathematical and Molecular Biomedicine, King's College London, UK,E.S. Roberts, Institute for Mathematical and Molecular Biomedicine, King's College London, UK

Ton Coolen received his PhD in Theoretical Physics from the University of Utrecht, followed by postdoctoral work at Utrecht, Nijmegen and Oxford. Since 1995 he has been working at King's College London. During this time he had developed a special interest in multidisciplinary research. This is expressed firstly through applying his expertise in statistical mechanics to problems including medical survival analysis, cellular signalling networks, econophysics and immunology. He also set up the Institute for Mathematical and Molecular Biomedicine in order to bring together colleagues in biology, medicine, physics, computer science and mathematics to work on developing effective quantitative tools for biomedical researchers.

Alessia Annibale obtained her undergraduate and Master degrees from the University of Rome "La Sapienza" before moving to the Disordered System and Neural Networks group in King's College London to complete her PhD. She has continued to work as a lecturer in King's College London, with papers published on spin glasses, network dynamics and stochastic processes on finitely connected random graphs. She is a member of the Institute for Mathematical and Molecular Biomedicine, and in recent years has taken a particular interest in applying the mathematical tools of disordered systems to understand the properties of biological networks.

Ekaterina Roberts obtained her undergraduate degree from Imperial College, London. After this she worked at the UK's Financial Services Authority, contributing to regulatory policies on how financial institutions should measure and capitalise their credit risk, as well as undertaking direct supervisory oversight of some small banks and insurers. She then joined the Randall Division of Cell and Molecular Biophysics to complete a cross-disciplinary PhD which used statistical mechanics to create tools to analyse random graph ensembles which share topological properties with real molecular networks.