Inequalities for Graph Eigenvalues

Nonfiction, Science & Nature, Mathematics, Combinatorics, Discrete Mathematics
Cover of the book Inequalities for Graph Eigenvalues by Zoran Stanić, Cambridge University Press
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Author: Zoran Stanić ISBN: 9781316394137
Publisher: Cambridge University Press Publication: July 23, 2015
Imprint: Cambridge University Press Language: English
Author: Zoran Stanić
ISBN: 9781316394137
Publisher: Cambridge University Press
Publication: July 23, 2015
Imprint: Cambridge University Press
Language: English

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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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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