| An Introduction to the Theory of Graph Spectra Contributor(s): Cvetković, Dragos (Author), Rowlinson, Peter (Author), Simić, Slobodan (Author) |
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ISBN: 110736079X ISBN-13: 9781107360792 Publisher: Cambridge University Press OUR PRICE: $165.75 Product Type: Open Ebook - Other Formats Published: May 2014 |
| Additional Information |
| BISAC Categories: - Mathematics | Discrete Mathematics - Mathematics | Graphic Methods |
| Dewey: 511.5 |
| Series: London Mathematical Society Student Texts |
| Physical Information: 377 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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 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. |