Eigenspaces of Graphs. (Encyclopedia of mathematics and its applications, vol.66) - Hardcover

Buch 49 von 188: Encyclopedia of Mathematics and its Applications

Dragos Cvetkovic; Peter Rowlinson; Slobodan Simic

 
9780521573528: Eigenspaces of Graphs. (Encyclopedia of mathematics and its applications, vol.66)

Inhaltsangabe

This book describes the spectral theory of finite graphs.

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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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Weitere beliebte Ausgaben desselben Titels

9780521057189: EOM: 66 Eigenspaces of Graphs (Encyclopedia of Mathematics and Its Applications, 66, Band 66)

Vorgestellte Ausgabe

ISBN 10:  0521057183 ISBN 13:  9780521057189
Verlag: Cambridge University Press, 2008
Softcover