Inequalities for Graph Eigenvalues Contributor(s): Stanic, Zoran (Author) |
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ISBN: 1107545978 ISBN-13: 9781107545977 Publisher: Cambridge University Press OUR PRICE: $77.89 Product Type: Paperback - Other Formats Published: July 2015 |
Additional Information |
BISAC Categories: - Mathematics | Discrete Mathematics |
Dewey: 512.943 |
LCCN: 2015011588 |
Series: London Mathematical Society Lecture Note |
Physical Information: 0.65" H x 6" W x 9" (0.92 lbs) 312 pages |
Descriptions, Reviews, Etc. |
Publisher 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. |