Inequalities for Graph Eigenvalues (Paperback)

Zoran Stanic

ISBN 10: 1107545978 / ISBN 13: 9781107545977

Editore: Cambridge University Press, Cambridge, 2015

Paperback. 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. 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 graphs. It presents the main results and then details their proofs, discussions, comparisons, examples, and exercises. Open problems and pointers to the literature are provided. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9781107545977

Riassunto:

This book explores the inequalities for eigenvalues of the six matrices associated with graphs. Includes the main results and selected applications.

Informazioni sull?autore: Zoran Stanić is Assistant Professor in the Faculty of Mathematics at the University of Belgrade. He has published around 40 scientific papers. His current research interests are algebraic graph theory, numerical mathematics, and computer science.

Dati bibliografici

Titolo: Inequalities for Graph Eigenvalues (...
Casa editrice: Cambridge University Press, Cambridge
Data di pubblicazione: 2015
Legatura: Paperback
Condizione: new