Inequalities for graph eigenvalues:
Written for mathematicians working with the theory of graph spectra, this book explores more than 400 inequalities for eigenvalues of the six matrices associated with finite simple graphs: the adjacency matrix, Laplacian matrix, signless Laplacian matrix, normalized Laplacian matrix, Seidel matrix,...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2015
|
| Series: | London Mathematical Society lecture note series
423 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | Written for mathematicians working with the theory of graph spectra, this book explores more than 400 inequalities for eigenvalues of the six matrices associated with finite simple graphs: the adjacency matrix, Laplacian matrix, signless Laplacian matrix, normalized Laplacian matrix, Seidel matrix, and distance matrix. The book begins with a brief survey of the main results and selected applications to related topics, including chemistry, physics, biology, computer science, and control theory. The author then proceeds to detail proofs, discussions, comparisons, examples, and exercises. Each chapter ends with a brief survey of further results. The author also points to open problems and gives ideas for further reading |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xi, 298 pages) |
| ISBN: | 9781316341308 |
| DOI: | 10.1017/CBO9781316341308 |
Staff View
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| 505 | 8 | |a Introduction -- Spectral radius -- Least eigenvalue -- Second largest eigenvalue -- Other eigenvalues of the adjacency matrix -- Laplacian eigenvalues -- Signless Laplacian eigenvalues -- Inequalities for multiple eigenvalues -- Other spectra of graphs | |
| 520 | |a Written for mathematicians working with the theory of graph spectra, this book explores more than 400 inequalities for eigenvalues of the six matrices associated with finite simple graphs: the adjacency matrix, Laplacian matrix, signless Laplacian matrix, normalized Laplacian matrix, Seidel matrix, and distance matrix. The book begins with a brief survey of the main results and selected applications to related topics, including chemistry, physics, biology, computer science, and control theory. The author then proceeds to detail proofs, discussions, comparisons, examples, and exercises. Each chapter ends with a brief survey of further results. The author also points to open problems and gives ideas for further reading | ||
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Record in the Search Index
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| author | Stanić, Zoran 1975- |
| author_facet | Stanić, Zoran 1975- |
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| contents | Introduction -- Spectral radius -- Least eigenvalue -- Second largest eigenvalue -- Other eigenvalues of the adjacency matrix -- Laplacian eigenvalues -- Signless Laplacian eigenvalues -- Inequalities for multiple eigenvalues -- Other spectra of graphs |
| ctrlnum | (ZDB-20-CBO)CR9781316341308 (OCoLC)930540785 (DE-599)BVBBV043940363 |
| dewey-full | 512.9/436 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.9/436 |
| dewey-search | 512.9/436 |
| dewey-sort | 3512.9 3436 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781316341308 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9781316341308 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349333 |
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| physical | 1 online resource (xi, 298 pages) |
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| publishDate | 2015 |
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| publisher | Cambridge University Press |
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| series2 | London Mathematical Society lecture note series |
| spelling | Stanić, Zoran 1975- Verfasser aut Inequalities for graph eigenvalues Zoran Stanic, University of Belgrade, Serbia Cambridge Cambridge University Press 2015 1 online resource (xi, 298 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 423 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Introduction -- Spectral radius -- Least eigenvalue -- Second largest eigenvalue -- Other eigenvalues of the adjacency matrix -- Laplacian eigenvalues -- Signless Laplacian eigenvalues -- Inequalities for multiple eigenvalues -- Other spectra of graphs Written for mathematicians working with the theory of graph spectra, this book explores more than 400 inequalities for eigenvalues of the six matrices associated with finite simple graphs: the adjacency matrix, Laplacian matrix, signless Laplacian matrix, normalized Laplacian matrix, Seidel matrix, and distance matrix. The book begins with a brief survey of the main results and selected applications to related topics, including chemistry, physics, biology, computer science, and control theory. The author then proceeds to detail proofs, discussions, comparisons, examples, and exercises. Each chapter ends with a brief survey of further results. The author also points to open problems and gives ideas for further reading Graph theory Eigenvalues Graphentheorie (DE-588)4113782-6 gnd rswk-swf Ungleichung (DE-588)4139098-2 gnd rswk-swf Spektrum Mathematik (DE-588)4182180-4 gnd rswk-swf Graphentheorie (DE-588)4113782-6 s Spektrum Mathematik (DE-588)4182180-4 s Ungleichung (DE-588)4139098-2 s 1\p DE-604 Erscheint auch als Druckausgabe 978-1-107-54597-7 https://doi.org/10.1017/CBO9781316341308 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Stanić, Zoran 1975- Inequalities for graph eigenvalues Introduction -- Spectral radius -- Least eigenvalue -- Second largest eigenvalue -- Other eigenvalues of the adjacency matrix -- Laplacian eigenvalues -- Signless Laplacian eigenvalues -- Inequalities for multiple eigenvalues -- Other spectra of graphs Graph theory Eigenvalues Graphentheorie (DE-588)4113782-6 gnd Ungleichung (DE-588)4139098-2 gnd Spektrum Mathematik (DE-588)4182180-4 gnd |
| subject_GND | (DE-588)4113782-6 (DE-588)4139098-2 (DE-588)4182180-4 |
| title | Inequalities for graph eigenvalues |
| title_auth | Inequalities for graph eigenvalues |
| title_exact_search | Inequalities for graph eigenvalues |
| title_full | Inequalities for graph eigenvalues Zoran Stanic, University of Belgrade, Serbia |
| title_fullStr | Inequalities for graph eigenvalues Zoran Stanic, University of Belgrade, Serbia |
| title_full_unstemmed | Inequalities for graph eigenvalues Zoran Stanic, University of Belgrade, Serbia |
| title_short | Inequalities for graph eigenvalues |
| title_sort | inequalities for graph eigenvalues |
| topic | Graph theory Eigenvalues Graphentheorie (DE-588)4113782-6 gnd Ungleichung (DE-588)4139098-2 gnd Spektrum Mathematik (DE-588)4182180-4 gnd |
| topic_facet | Graph theory Eigenvalues Graphentheorie Ungleichung Spektrum Mathematik |
| url | https://doi.org/10.1017/CBO9781316341308 |
| work_keys_str_mv | AT staniczoran inequalitiesforgrapheigenvalues |