Random Graphs and Complex Networks Remco van der Hofstad is an English-language textbook aimed at models for complex networks. This book covers the theory of random graphs as essential models in network science and is intended for professionals and students who want to delve into this dynamic research field.
The book provides a thorough and coherent introduction to the mathematical foundations of random graphs and complex networks. With a focus on network models that reflect the properties of real networks, it covers important concepts such as convergence of random variables, probabilistic approaches, coupling, martingales, and branching processes. Using examples such as the internet, collaboration networks, and the World Wide Web, it offers insight into crucial network characteristics such as connectivity.
This edition has been tried and tested in education for more than ten years and includes numerous exercises to strengthen theoretical knowledge and build practical experience with the various models. Topics align well with fields such as probability and statistics and network management.
Series: Cambridge Series in Statistical and Probabilistic Mathematics