Van der Hofstad R Random Graphs and Complex Networks Vol 2 2024

Van der Hofstad R Random Graphs and Complex Networks Vol 2 2024

General:

Name: Van der Hofstad R Random Graphs and Complex Networks Vol 2 2024
Format: pdf
Size: 41.37 MB

Book:

Title: Random graphs and complex networks
Author: Remco van der Hofstad
Language: angielski
Year: 2024
Subjects: Science & Technology, Mathematics, Probability Theory, Statistics
Publisher: Cambridge University Press
ISBN: 9781107174009
Total pages: 507

Description:

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.

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