An Introduction to the Theory of Graph Spectra (London Mathematical Society Student Texts, Series Number 75) - Softcover

Cvetković, Dragoš; Rowlinson, Peter; Simić, Slobodan

Softcover

ISBN 10: 0521134080 ISBN 13: 9780521134088

Publisher: Cambridge University Press, 2009

Synopsis

This introductory text explores the theory of graph spectra: a topic with applications across a wide range of subjects, including computer science, quantum chemistry and electrical engineering. The spectra examined here are those of the adjacency matrix, the Seidel matrix, the Laplacian, the normalized Laplacian and the signless Laplacian of a finite simple graph. The underlying theme of the book is the relation between the eigenvalues and structure of a graph. Designed as an introductory text for graduate students, or anyone using the theory of graph spectra, this self-contained treatment assumes only a little knowledge of graph theory and linear algebra. The authors include many new developments in the field which arise as a result of rapidly expanding interest in the area. Exercises, spectral data and proofs of required results are also provided. The end-of-chapter notes serve as a practical guide to the extensive bibliography of over 500 items.

About this title

Book Description

This is an introductory text for graduate students, or anyone using the theory of graph spectra, that assumes only a little knowledge of graph theory and linear algebra. The authors include developments in the field, exercises, spectral data, detailed proofs and an extensive bibliography.

About the Author

Dragoš Cvetković is Professor in the Mathematical Institute at the Serbian Academy of Sciences and Arts, Belgrade.

About this edition

• Publisher: Cambridge University Press
• Publication date: 2009
• ISBN 10: 0521134080
• ISBN 13: 9780521134088
• Binding: Paperback
• Edition number: 1
• Number of pages: 378