Presenting ten expository surveys on the rapidly expanding area of probabilistic graph theory, this book is the sixth, and final, volume of Cambridge University Press's series on 'Topics in Graph Theory'. Comprising contributions by leading experts, with all refined for clarity and consistent terminology, this book provides a uniquely comprehensive treatment of the subject. The reader is presented with an extensive introductory chapter to provide background material, before being brought up to speed with several of the most exciting recent developments in the field. This book will be useful for graduate students and researchers in graph theory, combinatorics, and probability theory, and of interest to mathematicians in related fields wishing to learn the topic as quickly as possible.