Graph Spectra for Complex Networks - Hardcover

Mieghem, Piet Van

Hardcover

ISBN 10: 052119458X ISBN 13: 9780521194587

Publisher: Cambridge University Press, 2011

Synopsis

Analyzing the behavior of complex networks is an important element in the design of new man-made structures such as communication systems and biologically engineered molecules. Because any complex network can be represented by a graph, and therefore in turn by a matrix, graph theory has become a powerful tool in the investigation of network performance. This self-contained book provides a concise introduction to the theory of graph spectra and its applications to the study of complex networks. Covering a range of types of graphs and topics important to the analysis of complex systems, this guide provides the mathematical foundation needed to understand and apply spectral insight to real-world systems. In particular, the general properties of both the adjacency and Laplacian spectrum of graphs are derived and applied to complex networks. An ideal resource for researchers and students in communications networking as well as in physics and mathematics.

About this title

Book Description

A concise and self-contained 2010 introduction to the theory of graph spectra and its applications to the study of complex networks. Covering a range of types of graphs, this guide provides the mathematical foundation needed to understand and apply spectral insight to real-world communications systems and networks.

About the Author

Piet Van Mieghem is a Professor at the Delft University of Technology with a chair in telecommunication networks, and chairman of the Network Architectures and Services (NAS) section. His main research interests lie in the modeling and analysis of complex networks (such as biological, brain, social, infrastructural, etc. networks) and in new Internet-like architectures and algorithms for future communications networks.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2011
• Language: English
• ISBN 10: 052119458X
• ISBN 13: 9780521194587
• Binding: Hardcover
• Edition number: 1
• Number of pages: 364