Inequalities for Graph Eigenvalues

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

Sommario

Preface; 1. Introduction; 2. Spectral radius; 3. Least eigenvalue; 4. Second largest eigenvalue; 5. Other eigenvalues of the adjacency matrix; 6. Laplacian eigenvalues; 7. Signless Laplacian eigenvalues; 8. Inequalities for multiple eigenvalues; 9. Other spectra of graphs; References; Inequalities; Subject index.

Info autore

Zoran Stani¿ 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.

Riassunto

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.

Dettagli sul prodotto

• Autori: Zoran Stani, Zoran Stani?, Zoran Stani¿, Zoran Staniac, Zoran Stanic
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 23.07.2015
• EAN: 9781107545977
• ISBN: 978-1-107-54597-7
• Pagine: 312
• Serie: London Mathematical Society Lecture Note Series; London Mathematical Society Le; London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Altro