An introduction to the theory of graph spectra
Author(s)
Bibliographic Information
An introduction to the theory of graph spectra
（London Mathematical Society student texts, 75）
Cambridge University Press, 2010
- : hbk
- : pbk
Available at / 44 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hbkCVE||1||4200014018379
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Note
Includes bibliographical references (p. 333-357) and indexes
The book size of the paperback version is 23 cm
Description and Table of Contents
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.
Table of Contents
- Preface
- 1. Introduction
- 2. Graph operations and modifications
- 3. Spectrum and structure
- 4. Characterizations by spectra
- 5. Structure and one eigenvalue
- 6. Spectral techniques
- 7. Laplacians
- 8. Additional topics
- 9. Applications
- Appendix
- Bibliography
- Index of symbols
- Index.
by "Nielsen BookData"