An Introduction to the Theory of Graph Spectra

Dragoš Cvetković, Peter Rowlinson (University of Stirling), Slobodan Simić

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English

Cambridge University Press
15 October 2009

Combinatorics & graph theory

Series: London Mathematical Society Student Texts

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.

By: Dragoš Cvetković, Peter Rowlinson (University of Stirling), Slobodan Simić
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 75
Dimensions: Height: 229mm, Width: 152mm, Spine: 25mm
Weight: 720g
ISBN: 9780521118392
ISBN 10: 0521118395
Series: London Mathematical Society Student Texts
Pages: 378
Publication Date: 15 October 2009
Audience: College/higher education , Further / Higher Education
Format: Hardback
Publisher's Status: Active

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.

Dragoš Cvetković is Professor in the Mathematical Institute at the Serbian Academy of Sciences and Arts, Belgrade. Peter Rowlinson is Emeritus Professor of Mathematics in the Department of Computing Science and Mathematics at the University of Stirling. Slobodan Simić is Full Research Professor in the Mathematical Institute at the Serbian Academy of Sciences and Arts, Belgrade.