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Eigenspaces of graphs /

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 grap...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Cvetković, Dragoš M.
Otros Autores: Rowlinson, Peter, Simić, S. (Slobodan)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 1997.
Colección:Encyclopedia of mathematics and its applications ; v. 66.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Eigenspaces of graphs /  |c D. Cvetković, P. Rowlinson, S. Simić. 
260 |a Cambridge ;  |a New York :  |b Cambridge University Press,  |c 1997. 
300 |a 1 online resource (xiii, 258 pages) :  |b illustrations 
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490 1 |a Encyclopedia of mathematics and its applications ;  |v v. 66 
504 |a Includes bibliographical references (pages 239-255) and index. 
505 0 |a 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. 
520 |a 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). 
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650 0 |a Spectral theory (Mathematics) 
650 0 |a Eigenvectors. 
650 6 |a Théorie des graphes. 
650 6 |a Spectre (Mathématiques) 
650 6 |a Vecteurs. 
650 7 |a MATHEMATICS  |x Graphic Methods.  |2 bisacsh 
650 7 |a Eigenvectors.  |2 fast  |0 (OCoLC)fst00904034 
650 7 |a Graph theory.  |2 fast  |0 (OCoLC)fst00946584 
650 7 |a Spectral theory (Mathematics)  |2 fast  |0 (OCoLC)fst01129072 
650 1 7 |a Grafentheorie.  |2 gtt 
650 7 |a Graphes, Théorie des.  |2 ram 
650 7 |a Théorie spectrale (mathématiques)  |2 ram 
700 1 |a Rowlinson, Peter. 
700 1 |a Simić, S.  |q (Slobodan) 
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830 0 |a Encyclopedia of mathematics and its applications ;  |v v. 66. 
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