The Resource Eigenspaces of graphs, D. Cvetković, P. Rowlinson, S. Simić
Eigenspaces of graphs, D. Cvetković, P. Rowlinson, S. Simić
Resource Information
The item Eigenspaces of graphs, D. Cvetković, P. Rowlinson, S. Simić represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Eigenspaces of graphs, D. Cvetković, P. Rowlinson, S. Simić represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- Summary
- 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)
- Language
- eng
- Extent
- xiii, 258 pages
- Contents
-
- 1. A background in graph spectra
- 2. Eigenvectors of graphs
- 3. Eigenvector techniques
- 4. Graph angles
- 5. Angle techniques
- 6. Graph perturbations
- 7. Star partitions
- 8. Canonical star bases
- 9. Miscellaneous results
- App. A. Some results from matrix theory
- App. B.A table of graph angles
- Isbn
- 9780521573528
- Label
- Eigenspaces of graphs
- Title
- Eigenspaces of graphs
- Statement of responsibility
- D. Cvetković, P. Rowlinson, S. Simić
- Language
- eng
- Summary
- 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)
- Cataloging source
- DLC
- http://library.link/vocab/creatorName
- Cvetković, Dragoš M
- Dewey number
- 511/.5
- Illustrations
- illustrations
- Index
- index present
- LC call number
- QA166
- LC item number
- .C83 1997
- Literary form
- non fiction
- Nature of contents
- bibliography
- http://library.link/vocab/relatedWorkOrContributorName
-
- Rowlinson, Peter
- Simić, S.
- Series statement
- Encyclopedia of mathematics and its applications
- Series volume
- v. 66
- http://library.link/vocab/subjectName
-
- Graph theory
- Spectral theory (Mathematics)
- Label
- Eigenspaces of graphs, D. Cvetković, P. Rowlinson, S. Simić
- Bibliography note
- Includes bibliographical references (pages 239-255) and index
- Carrier category
- volume
- Carrier category code
-
- nc
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- 1. A background in graph spectra -- 2. Eigenvectors of graphs -- 3. Eigenvector techniques -- 4. Graph angles -- 5. Angle techniques -- 6. Graph perturbations -- 7. Star partitions -- 8. Canonical star bases -- 9. Miscellaneous results -- App. A. Some results from matrix theory -- App. B.A table of graph angles
- Control code
- 34669215
- Dimensions
- 24 cm
- Extent
- xiii, 258 pages
- Isbn
- 9780521573528
- Isbn Type
- (hc)
- Lccn
- 96002860
- Media category
- unmediated
- Media MARC source
- rdamedia
- Media type code
-
- n
- Other physical details
- illustrations
- System control number
- (OCoLC)34669215
- Label
- Eigenspaces of graphs, D. Cvetković, P. Rowlinson, S. Simić
- Bibliography note
- Includes bibliographical references (pages 239-255) and index
- Carrier category
- volume
- Carrier category code
-
- nc
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- 1. A background in graph spectra -- 2. Eigenvectors of graphs -- 3. Eigenvector techniques -- 4. Graph angles -- 5. Angle techniques -- 6. Graph perturbations -- 7. Star partitions -- 8. Canonical star bases -- 9. Miscellaneous results -- App. A. Some results from matrix theory -- App. B.A table of graph angles
- Control code
- 34669215
- Dimensions
- 24 cm
- Extent
- xiii, 258 pages
- Isbn
- 9780521573528
- Isbn Type
- (hc)
- Lccn
- 96002860
- Media category
- unmediated
- Media MARC source
- rdamedia
- Media type code
-
- n
- Other physical details
- illustrations
- System control number
- (OCoLC)34669215
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