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This book addresses the emerging body of literature on the study of rare events in random graphs and networks. For example, what does a random graph look like i

This classroom-tested text is the definitive introduction to the mathematics of network science, featuring examples and numerous exercises.

The text covers random graphs from the basic to the advanced, including numerous exercises and recommendations for further reading.

The theory of random graphs began in the late 1950s in several papers by Erdos and Renyi. In the late twentieth century, the notion of six degrees of separation

This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary rese