| Description |
1 online resource (xiii, 258 pages) : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Encyclopedia of mathematics and its applications ; v. 66
|
|
Encyclopedia of mathematics and its applications ; v. 66.
|
| Bibliography |
Includes bibliographical references (pages 239-255) and index. |
| Contents |
1. A background in graph spectra -- 2. Eigenvectors of graphs -- 3. Eigenvector techniques -- 4. Graph angles -- 5. Angle techniques -- 6. Graph perturbations -- 7. Star partitions -- 8. Canonical star bases -- 9. Miscellaneous results -- App. A. Some results from matrix theory -- App. B.A table of graph angles. |
| Summary |
This book describes how the spectral theory of finite graphs can be strengthened by exploiting properties of the eigenspaces of adjacency matrices associated with a graph. The extension of spectral techniques proceeds at three levels: using eigenvectors associated with an arbitrary labelling of graph vertices, using geometrical invariants of eigenspaces such as graph angles and main angles, and introducing certain kinds of canonical eigenvectors by means of star partitions and star bases. Current research on these topics may be seen as part of a wider effort to forge closer links between algebra and combinatorics (in particular between linear algebra and graph theory). |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Graph theory.
|
|
Graph theory. |
|
Spectral theory (Mathematics)
|
|
Spectral theory (Mathematics) |
| Genre/Form |
Electronic books.
|
| Added Author |
Rowlinson, Peter.
|
|
Simić, S. (Slobodan)
|
| Other Form: |
Print version: Cvetković, Dragoš M. Eigenspaces of graphs. Cambridge ; New York : Cambridge University Press, 1997 0521573521 (DLC) 96002860 (OCoLC)34669215 |
| ISBN |
9781107088979 (electronic book) |
|
1107088976 (electronic book) |
|
0521573521 |
|
9780521573528 |
|
