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Random Graphs and Complex Networks
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In this book, we study random graphs as models for real-world networks. Since 1999, many real-world networks have been investigated. These networks turned out to have rather different properties than classical random graph models, for example in the number of connections the elements in the network make. As a result, a wealth of new models was invented to capture these properties. This book summarizes the insights developed in this exciting period. This book is intended to be used for a master level course where students have a limited prior knowledge of special topics in probability. We have included many of the preliminaries, such as convergence of random variables, probabilistic bounds, coupling, martingales and branching processes. This book aims to be self-contained. When we do not give proofs of the preliminary results, we provide pointers to the literature.
Remco van der Hofstad - Personal Name
NONE
Information Technology
English
2016
1-344
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