Random Graphs and Complex Networks

This rigorous introduction to network science presents random graphs as models for real-world networks. Such networks have distinctive empirical properties and a wealth of new models have emerged to capture them. Classroom tested for over ten years, this text places recent advances in a unified framework to enable systematic study. Designed for a master's-level course, where students may only have a basic background in probability, the text covers such important preliminaries as convergence of random variables, probabilistic bounds, coupling, martingales, and branching processes. Building on this base - and motivated by many examples of real-world networks, including the Internet, collaboration networks, and the World Wide Web - it focuses on several important models for complex networks and investigates key properties, such as the connectivity of nodes. Numerous exercises allow students to develop intuition and experience in working with the models.

Author: Remco Van Der Hofstad
Binding Type: Hardcover
Publisher: Cambridge University Press
Published: 12/24/2016
Series: Cambridge Statistical and Probabilistic Mathematics #43
Pages: 236
Weight: 1.68lbs
Size: 10.42h x 7.13w x 0.96d
ISBN: 9781107172876