EOM: 66 Eigenspaces of Graphs (Encyclopedia of Mathematics and its Applications, Series Number 66) - Tapa blanda

Libro 49 de 188: Encyclopedia of Mathematics and its Applications

Cvetkovic, Dragos

 
9780521057189: EOM: 66 Eigenspaces of Graphs (Encyclopedia of Mathematics and its Applications, Series Number 66)
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ISBN 10: 0521057183 ISBN 13: 9780521057189
Editorial: Cambridge University Press, 2008

Sinopsis

Current research on the spectral theory of finite graphs 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).This book describes how this topic 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. One objective is to describe graphs by algebraic means as far as possible, and the book discusses the Ulam reconstruction conjecture and the graph isomorphism problem in this context. Further problems of graph reconstruction and identification are used to illustrate the importance of graph angles and star partitions in relation to graph structure. Specialists in graph theory will welcome this treatment of important new research.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.

De la contraportada

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).

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Cambridge University Press
Año de publicación
2008
Idioma
Inglés
ISBN 10 
0521057183
ISBN 13 
9780521057189
Encuadernación
Tapa blanda
Número de páginas
276
Contacto del fabricante
no disponible
Persona responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Alemania

Otras ediciones populares con el mismo título

9780521573528: Eigenspaces of Graphs Hardback: 66 (Encyclopedia of Mathematics and its Applications, Series Number 66)

Edición Destacada

ISBN 10:  0521573521 ISBN 13:  9780521573528
Editorial: Cambridge University Press, 1997
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