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Inequalities for Graph Eigenvalues

Paperback Engels 2015 9781107545977
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Samenvatting

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.

Specificaties

ISBN13:9781107545977
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:312

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Inhoudsopgave

Preface; 1. Introduction; 2. Spectral radius; 3. Least eigenvalue; 4. Second largest eigenvalue; 5. Other eigenvalues of the adjacency matrix; 6. Laplacian eigenvalues; 7. Signless Laplacian eigenvalues; 8. Inequalities for multiple eigenvalues; 9. Other spectra of graphs; References; Inequalities; Subject index.

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€ 44,46
Levertijd ongeveer 9 werkdagen
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        Inequalities for Graph Eigenvalues