Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Books
  3. Random Graphs and Complex Networks
  • Cited by 24
Publisher:
Cambridge University Press
Online publication date:
February 2024
Print publication year:
2024
Online ISBN:
9781316795552
DOI:
https://doi.org/10.1017/9781316795552
Subjects:
Algorithmics, Complexity, Computer Algebra, Computational Geometry, Computer Science, General Statistics and Probability, Applied Probability and Stochastic Networks, Statistics and Probability
Series:
Cambridge Series in Statistical and Probabilistic Mathematics
Information

Book 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.

Reviews

‘Even before its publication, the second volume of ‘Random graphs and complex networks’ has become a classic for anyone working in random graph theory. Remco van der Hofstad manages to treat in detail a very large extent of this fascinating theory, while staying extremely pedagogical and accessible to a broad audience. It covers in depth the local convergence and small-world properties of scale-free random graphs. Together with the first volume, these are among the essential books every probabilist should have on their shelf!’

Nicolas Curien - Université Paris-Saclay

‘This is a wonderful book, covering major topics at the forefront of modern random graph theory and its application to the modelling and description of real-world complex networks. Whereas Volume 1 covers basic models, ideas and techniques, Volume 2 focusses on two key topics - connected components and small world properties – for three different classes of random graphs - inhomogeneous random graphs, configuration models, preferential attachment models. At the basis is the notion of local convergence, which is powerful tool to describe large sparse random graphs. Suitable for researchers at the level of PhD and above, the two volumes will become a landmark in network science.’

Frank den Hollander - Leiden University

Refine List

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

Contents

Contents

Metrics

Altmetric attention score

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Book summary page views

Total views: 0 *
Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.