Eigenspaces of Graphs
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Eigenspaces of Graphs by Dragos M. Cvetkovic
Book DescriptionCurrent 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.
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Book DetailsISBN: 9780521573528
(234mm x 156mm x 17mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 9-Jan-1997
Country of Publication: United Kingdom
Books By Author Dragos M. Cvetkovic
Eigenspaces of Graphs, Paperback (March 2008)» View all books by Dragos M. Cvetkovic
This book describes the spectral theory of finite graphs.
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