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  3. Inequalities for Graph Eigenvalues
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  • Publisher:
    Cambridge University Press
    Publication date:
    05 August 2015
    23 July 2015
    ISBN:
    9781316341308
    9781107545977
    DOI:
    https://doi.org/10.1017/CBO9781316341308
    Dimensions:
    Weight & Pages:
    Dimensions:
    (228 x 152 mm)
    Weight & Pages:
    0.42kg, 312 Pages
    • Subjects:
    Mathematics (general), Mathematics, Algorithmics, Complexity, Computer Algebra, Computational Geometry, Computer Science, Discrete Mathematics Information Theory and Coding
    Series:
    London Mathematical Society Lecture Note Series (423)
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    Subjects:
    Mathematics (general), Mathematics, Algorithmics, Complexity, Computer Algebra, Computational Geometry, Computer Science, Discrete Mathematics Information Theory and Coding
    Series:
    London Mathematical Society Lecture Note Series (423)
    Information

    Book description

    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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