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

Book 49 of 188: Encyclopedia of Mathematics and its Applications

Cvetkovic, Dragos; Rowlinson, Peter; Simic, Slobodan

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

Synopsis

This book describes the spectral theory of finite graphs.

"synopsis" may belong to another edition of this title.

From the Back Cover

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).

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9780521057189: EOM: 66 Eigenspaces of Graphs (Encyclopedia of Mathematics and its Applications, Series Number 66)

Featured Edition

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