An introduction to the theory of graph spectra [EBook] / Dragoš Cvetković, Peter Rowlinson, Slobodan Simić.
An introduction to the theory of graph spectra [EBook] / Dragoš Cvetković, Peter Rowlinson, Slobodan Simić.
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 normali...
Personal Name(s):  Cvetković, Dragoš M., (author) 

Rowlinson, Peter, (author) / Simić, S., (author)  
Imprint: 
Cambridge :
Cambridge University Press,
2010

Physical Description: 
1 online resource (xi, 364 pages) 
Note: 
englisch 
ISBN: 
9780521134088 9780511801518 9780521118392 
Series Title: 
London Mathematical Society student texts ;
75 
Subject (LOC):  
Full Text 
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 selfcontained treatment assumes only a little knowledge of graph theory and linear algebra. The authors include many 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 endofchapter notes serve as a practical guide to the extensive bibliography of over 500 items. 