Random Graphs And Complex Networks Volume 2

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Random Graphs and Complex Networks

Author: Remco van der Hofstad
language: en
Publisher: Cambridge University Press
Release Date: 2017
This classroom-tested text is the definitive introduction to the mathematics of network science, featuring examples and numerous exercises.
Random Graphs and Complex Networks

Author: Remco van der Hofstad
language: en
Publisher: Cambridge University Press
Release Date: 2024-02-08
The definitive introduction to the local and global structure of random graph models for complex networks.
Random Graphs and Complex Networks: Volume 2

Author: Remco van der Hofstad
language: en
Publisher: Cambridge University Press
Release Date: 2024-02-08
Complex networks are key to describing the connected nature of the society that we live in. This book, the second of two volumes, describes the local structure of random graph models for real-world networks and determines when these models have a giant component and when they are small-, and ultra-small, worlds. This is the first book to cover the theory and implications of local convergence, a crucial technique in the analysis of sparse random graphs. Suitable as a resource for researchers and PhD-level courses, it uses examples of real-world networks, such as the Internet and citation networks, as motivation for the models that are discussed, and includes exercises at the end of each chapter to develop intuition. The book closes with an extensive discussion of related models and problems that demonstratemodern approaches to network theory, such as community structure and directed models.