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Science/Engineering Eigenspaces of Graphs

Posted on 2010-03-15




Name:Science/Engineering Eigenspaces of Graphs
ASIN/ISBN:0521573521
Language:English
File size:1.9 Mb
Publish Date: 1997-01-28
ISBN: 0521573521
Pages: 272 pages
File Size: 1,9 MB
Other Info: Cambridge University Press; Djvu
   Science/Engineering Eigenspaces of Graphs

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Dragos Cvetkovic, "Eigenspaces of Graphs"

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.

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