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The Resource Eigenspaces of graphs, D. Cvetković, P. Rowlinson, S. Simić

Eigenspaces of graphs, D. Cvetković, P. Rowlinson, S. Simić

Label
Eigenspaces of graphs
Title
Eigenspaces of graphs
Statement of responsibility
D. Cvetković, P. Rowlinson, S. Simić
Creator
Contributor
Subject
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)
Member of
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
Instantiates
Publication
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
Publication
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

Library Locations

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      38.944377 -92.326537
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