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 new 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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