Eigenspaces of Graphs

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Hardcover | 10 March 1997

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276 Pages

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23.39 x 15.6 x 1.75

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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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'Specialists in graph theory and mathematical chemistry will welcome this treatment of important new research.' European Mathematical Society

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A background in graph spectra
Eigenvectors of graphs
Eigenvectors of techniques
Graph angles
Angle techniques
Graph perturbations
Star partitions
Canonical star bases
Miscellaneous results
Table of Contents provided by Publisher. All Rights Reserved.

Eigenspaces of Graphs

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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Paperback

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