Main Eigenspaces of graphs
Eigenspaces of graphs cover

Eigenspaces of graphs

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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.
Request Code : ZLIBIO107522
Categories:
Year:
2008
Publisher:
Cambridge University Press
Language:
English
Pages:
136
ISBN 10:
0521057183
ISBN 13:
9780521057189
ISBN:
9780521057189,0521057183
Series:
Encyclopedia of Mathematics and its Applications

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