Eigenspaces of Graphs: 66 (Encyclopedia of Mathematics and its Applications, Series Number 66) - Hardcover
Book 49 of 188: Encyclopedia of Mathematics and its Applications
Synopsis
This book describes the spectral theory of finite graphs.
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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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Eigenspaces of Graphs (Encyclopedia of Mathematics and its Applications Series - Number 66)
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Encyclopedia of Mathematics and Its Applications: Eigenspaces of Graphs (Volume 66)
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Eigenspaces of Graphs (Encyclopedia of Mathematics and its Applications, Series Number 66)
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Condition: Gut. Zustand: Gut | Seiten: 276 | Sprache: Englisch | Produktart: Bücher | 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). Seller Inventory # 2584894/203
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Eigenspaces of Graphs
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Eigenspaces of Graphs
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Eigenspaces of Graphs
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Eigenspaces of Graphs (Hardcover)
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Hardcover. Condition: new. Hardcover. Current 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. 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. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521573528
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