A variety of different social, natural and technological systems can be described by the same mathematical framework. This holds from the Internet to food webs and to boards of company directors. In all these situations a graph of the elements of the system and their interconnections displaysa universal feature. There are only few elements with many connections, and many elements with few connections. This book presents the experimental evidence of these Scale-free networks and provides students and researchers with a corpus of theoretical results and algorithms to analyse andunderstand these features. The content of this book and the exposition makes it a clear textbook for beginners, and a reference book for the experts.