An introduction to the theory of graph spectra:
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 normali...
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2010
|
| Schriftenreihe: | London Mathematical Society student texts
75 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/CBO9780511801518 https://doi.org/10.1017/CBO9780511801518 https://doi.org/10.1017/CBO9780511801518 https://doi.org/10.1017/CBO9780511801518 |
| Zusammenfassung: | 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 |
| Umfang: | 1 Online-Ressource (xi, 364 Seiten) |
| ISBN: | 9780511801518 |
| DOI: | 10.1017/CBO9780511801518 |
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| 490 | 0 | |a London Mathematical Society student texts |v 75 | |
| 520 | |a 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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| author | Cvetković, Dragoš M. 1941- Rowlinson, Peter Simić, Slobodan |
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| author_facet | Cvetković, Dragoš M. 1941- Rowlinson, Peter Simić, Slobodan |
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| author_sort | Cvetković, Dragoš M. 1941- |
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| dewey-full | 511.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.5 |
| dewey-search | 511.5 |
| dewey-sort | 3511.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511801518 |
| format | Electronic eBook |
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| isbn | 9780511801518 |
| language | English |
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| spelling | Cvetković, Dragoš M. 1941- Verfasser (DE-588)110230485 aut An introduction to the theory of graph spectra Dragoš Cvetković, Peter Rowlinson, Slobodan Simić Cambridge Cambridge University Press 2010 1 Online-Ressource (xi, 364 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 75 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 Graph theory Matrices Rowlinson, Peter Verfasser (DE-588)14136985X aut Simić, Slobodan Verfasser (DE-588)141369922 aut London Mathematical Society Sonstige (DE-588)1011030-6 oth Erscheint auch als Druck-Ausgabe 978-0-521-11839-2 Erscheint auch als Druck-Ausgabe 978-0-521-13408-8 https://doi.org/10.1017/CBO9780511801518 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Cvetković, Dragoš M. 1941- Rowlinson, Peter Simić, Slobodan An introduction to the theory of graph spectra Graph theory Matrices |
| title | An introduction to the theory of graph spectra |
| title_auth | An introduction to the theory of graph spectra |
| title_exact_search | An introduction to the theory of graph spectra |
| title_full | An introduction to the theory of graph spectra Dragoš Cvetković, Peter Rowlinson, Slobodan Simić |
| title_fullStr | An introduction to the theory of graph spectra Dragoš Cvetković, Peter Rowlinson, Slobodan Simić |
| title_full_unstemmed | An introduction to the theory of graph spectra Dragoš Cvetković, Peter Rowlinson, Slobodan Simić |
| title_short | An introduction to the theory of graph spectra |
| title_sort | an introduction to the theory of graph spectra |
| topic | Graph theory Matrices |
| topic_facet | Graph theory Matrices |
| url | https://doi.org/10.1017/CBO9780511801518 |
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