Inequalities for Graph Eigenvalues 2015 Edition at Meripustak

Inequalities for Graph Eigenvalues 2015 Edition

Books from same Author: Zoran Stanic

Books from same Publisher: CAMBRIDGE

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  • General Information  
    Author(s)Zoran Stanic
    PublisherCAMBRIDGE
    ISBN9781107545977
    Pages312
    BindingPaperback
    LanguageEnglish
    Publish YearOctober 2015

    Description

    CAMBRIDGE Inequalities for Graph Eigenvalues 2015 Edition by Zoran Stanic

    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. 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.