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  3. Graph Spectra for Complex Networks
  • Cited by 240
Publisher:
Cambridge University Press
Online publication date:
March 2011
Print publication year:
2010
Online ISBN:
9780511921681
DOI:
https://doi.org/10.1017/CBO9780511921681
Subjects:
Mathematics, Communications and Signal Processing, Engineering, Discrete Mathematics Information Theory and Coding
Information

Book description

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 2010 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.

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