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  3. An Introduction to the Theory of Graph Spectra
  • Cited by 197
Publisher:
Cambridge University Press
Online publication date:
February 2011
Print publication year:
2009
Online ISBN:
9780511801518
DOI:
https://doi.org/10.1017/CBO9780511801518
Subjects:
Mathematics (general), Mathematics, Communications and Signal Processing, Engineering, Discrete Mathematics Information Theory and Coding
Series:
London Mathematical Society Student Texts (75)
Information

Book description

This introductory text explores the theory of graph spectra: a topic with applications across a wide range of subjects, including computer science, quantum chemistry and electrical engineering. The spectra examined here are those of the adjacency matrix, the Seidel matrix, the Laplacian, the normalized Laplacian and the signless Laplacian of a finite simple graph. The underlying theme of the book is the relation between the eigenvalues and structure of a graph. Designed as an introductory text for graduate students, or anyone using the theory of graph spectra, this self-contained treatment assumes only a little knowledge of graph theory and linear algebra. The authors include many developments in the field which arise as a result of rapidly expanding interest in the area. Exercises, spectral data and proofs of required results are also provided. The end-of-chapter notes serve as a practical guide to the extensive bibliography of over 500 items.

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