Random Graphs and Complex Networks by Remco van der Hofstad
Random Graphs and Complex Networks - Table of Contents
- 1. Introduction
- 2. Probabilistic Methods
- 3. Theory of Branching Processes
- 4. Phase Transition for the Erdos–Rényi Random Graph
- 5. The Erdos–Rényi Random Graph Revisited
- 6. Analysis of Inhomogeneous Random Graphs
- 7. Structure of the Configuration Model
- 8. Dynamics of Preferential Attachment Models
- 9. Inhomogeneous Random Graphs Revisited
- 10. Configuration Model Revisited
- 11. Preferential Attachment Revisited
What You Will Learn in Random Graphs and Complex Networks
Random Graphs and Complex Networks (Volume 1) by Remco van der Hofstad is a highly acclaimed, mathematically rigorous introduction to the probabilistic foundations of network science. Designed for advanced undergraduate and graduate courses, this foundational text breaks down key structural properties like degree distributions, phase transitions, connectivity, small-world phenomena, and power-law degree sequences into clear, self-contained mathematical arguments.
Perfect for students and researchers in probability theory, discrete mathematics, computer science, statistical physics, and network science, this book systematically analyzes canonical network models. Professor van der Hofstad provides deep rigorous analyses of Erdos-Rényi random graphs, configuration models, and preferential attachment graphs. Whether you are studying local convergence, exploring giant component formation, or calculating graph distances, this text provides a clear, structured roadmap through every chapter.
Recognized globally for its clarity, pedagogical depth, and focus on modern real-world complex networks, it remains one of the best random graphs books pdf available for academic study. It systematically equips readers with necessary probabilistic tools for mastering modern network topology and graph theory with confidence.
Book Details & Specifications
Title:
Random Graphs and Complex Networks by Remco van der Hofstad
Publisher:
Cambridge University Press
Year:
2010
Pages:
363
Type:
PDF
Language:
English
ISBN-10 #:
110717287X
ISBN-13 #:
978-1107172876
License:
External Educational Resource
Amazon:
Amazon
About the Author: Remco van der Hofstad
The author Remco van der Hofstad
is Professor of Probability in the Department of Mathematics and Computer Science at Eindhoven University of Technology (TU/e) in the Netherlands. He received his Ph.D. from Universiteit Utrecht and serves as the scientific director of the EURANDOM research institute.
An internationally recognized leader in probability theory and network science, Professor van der Hofstad was awarded the prestigious Spinoza Prize in 2017 for his outstanding contributions to stochastic processes on random graphs. His extensive research on complex networks and statistical physics models provides students and researchers worldwide with a rigorous mathematical foundation for analyzing interconnected systems.
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