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  3. An Introduction to the Theory of Graph Spectra
  • Cited by 197
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    • Publisher:
      Cambridge University Press
      Publication date:
      February 2011
      October 2009
      ISBN:
      9780511801518
      9780521118392
      9780521134088
      DOI:
      https://doi.org/10.1017/CBO9780511801518
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.72kg, 378 Pages
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.51kg, 378 Pages
      • Subjects:
      Mathematics (general), Mathematics, Communications and Signal Processing, Engineering, Discrete Mathematics Information Theory and Coding
      Series:
      London Mathematical Society Student Texts (75)
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    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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