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Eigenspaces of Graphs (Encyclopedia of Mathematics and its Applications, Series Number 66) - Hardcover
Synopsis
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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Book Description
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. Current research on this topic 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). Specialists in graph theory will welcome this treatment of important new research.
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).
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- PublisherCambridge University Press
- Publication date1997
- ISBN 10 0521573521
- ISBN 13 9780521573528
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages276
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Eigenspaces of Graphs (Encyclopedia of Mathematics and its Applications Series - Number 66)
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ISBN 10: 0521573521
ISBN 13: 9780521573528
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Encyclopedia of Mathematics and Its Applications: Eigenspaces of Graphs (Volume 66)
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ISBN 10: 0521573521
ISBN 13: 9780521573528
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Eigenspaces of Graphs
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Eigenspaces of Graphs (Encyclopedia of Mathematics and its Applications, Series Number 66)
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ISBN 13: 9780521573528
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Eigenspaces of Graphs (Encyclopedia of Mathematics and its Applications, Series Number 66)
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ISBN 10: 0521573521
ISBN 13: 9780521573528
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Eigenspaces of Graphs (Encyclopedia of Mathematics and its Applications, Series Number 66)
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ISBN 10: 0521573521
ISBN 13: 9780521573528
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Eigenspaces of Graphs
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Eigenspaces of Graphs (Hardcover)
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ISBN 10: 0521573521
ISBN 13: 9780521573528
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Hardcover. Condition: new. Hardcover. 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. 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). Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521573528
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Eigenspaces of Graphs
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