Inequalities for Graph Eigenvalues
Author:   Zoran Stanić (Univerzitet u Beogradu, Serbia)
Publisher:   Cambridge University Press
Volume:   423
ISBN:  

9781107545977


Pages:   312
Publication Date:   23 July 2015
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Inequalities for Graph Eigenvalues


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Overview

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.

Full Product Details

Author:   Zoran Stanić (Univerzitet u Beogradu, Serbia)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Volume:   423
Dimensions:   Width: 15.20cm , Height: 1.70cm , Length: 22.90cm
Weight:   0.420kg
ISBN:  

9781107545977


ISBN 10:   1107545978
Pages:   312
Publication Date:   23 July 2015
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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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Author Information

Zoran Stanić is Assistant Professor in the Faculty of Mathematics at the University of Belgrade. He has published around 40 scientific papers. His current research interests are algebraic graph theory, numerical mathematics, and computer science.

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