ENGLISH

An Introduction to the Theory of Graph Spectra

By Dragos Cvetkovic , Peter Rowlinson , Slobodan Simic

Book information

Publisher
Cambridge University Press
Year
2009
ISBN
0521118395, 9780521118392
Language
english
Format
PDF
Filesize
3 MB (2716395 bytes)
Series
London Mathematical Society Student Texts
Pages
378\377
Time added
2018-01-03 01:01:47
Graph Theory;Applied;Mathematics;Science & Math;DiUsed & Rental Textbooks;Specialty Boutique

Description

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.

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