Name: Eom: 66 Eigenspaces of Graphs (Encyclopedia of Mathematics and its Applications) (en Inglés)
Price: 60.83 USD
Availability: InStock
Author: Dragos Cvetkovic
ISBN: 9780521057189

portada Eom: 66 Eigenspaces of Graphs (Encyclopedia of Mathematics and its Applications) (en Inglés)

Formato

Libro Físico

Editorial

Cambridge University Press

Autor

Dragos Cvetkovic

Año

2008

Idioma

Inglés

N° páginas

276

Encuadernación

Tapa Blanda

ISBN

0521057183

ISBN13

9780521057189

Categorías

Matemáticas discretas

Eom: 66 Eigenspaces of Graphs (Encyclopedia of Mathematics and its Applications) (en Inglés)

Dragos Cvetkovic (Autor) · Cambridge University Press · Tapa Blanda

Libro Físico

$ 60.83

$ 67.99

Ahorras: $ 7.16

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Reseña del libro "Eom: 66 Eigenspaces of Graphs (Encyclopedia of Mathematics and its Applications) (en Inglés)"

Graph theory is an important branch of contemporary combinatorial mathematics. By describing recent results in algebraic graph theory and demonstrating how linear algebra can be used to tackle graph-theoretical problems, the authors provide new techniques for specialists in graph theory. The book explains 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 labeling 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 is part of a wider effort to forge closer links between algebra and combinatorics. 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.