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Inequalities for Graph Eigenvalues

Inequalities for Graph Eigenvalues

Paperback

Series: London Mathematical Society Lecture Note, Book 423

General Mathematics

ISBN10: 1107545978
ISBN13: 9781107545977
Publisher: Cambridge
Published: Jul 23 2015
Pages: 312
Weight: 0.92
Height: 0.65 Width: 6.00 Depth: 9.00
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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General Mathematics