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

Buch 49 von 188: Encyclopedia of Mathematics and its Applications

Cvetkovic, Dragos

 
9780521057189: EOM: 66 Eigenspaces of Graphs (Encyclopedia of Mathematics and Its Applications, 66, Band 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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9780521573528: Eigenspaces of Graphs. (Encyclopedia of mathematics and its applications, vol.66)

Vorgestellte Ausgabe

ISBN 10:  0521573521 ISBN 13:  9780521573528
Verlag: Cambridge University Press, 1997
Hardcover