Eigenspaces of Graphs (Paperback)
Language: English
Published by Cambridge University Press, Cambridge, 2008
Series: Book 49 of 188 - Encyclopedia of Mathematics and its Applications
- Softcover
- New
Seller: CitiRetail, Stevenage, United KingdomCitiRetail
AbeBooks seller since June 29, 2022
Condition: New
£ 68.49
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Paperback. 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. Specialists in graph theory will welcome this treatment of important new research. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…
Seller Inventory # 9780521057189
- Title
- Eigenspaces of Graphs (Paperback)
- Author
- Dragos Cvetkovic
- Publisher
- Cambridge University Press, Cambridge
- Publication year
- 2008
- Condition
- new
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0521057183
- ISBN 13
- 9780521057189
- Series
- Book 49 of 188: Encyclopedia of Mathematics and its Applications
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