Graphs and matrices

Graphs and Matrices provides a welcome addition to the rapidly expanding selection of literature in this field. As the title suggests, the book’s primary focus is graph theory, with an emphasis on topics relating to linear algebra and matrix theory. Information is presented at a relatively elementary level with the view of leading the student into further research. In the first part of the book matrix preliminaries are discussed and the basic properties of graph-associated matrices highlighted. Further topics include those of graph theory such as regular graphs and algebraic connectivity, Laplacian eigenvalues of threshold graphs, positive definite completion problem and graph-based matrix games. Whilst this book will be invaluable to researchers in graph theory, it may also be of benefit to a wider, cross-disciplinary readership. • Presents a useful overview of selected topicsin algebraic graph theory. Extensive coverageof topics provides a welcome prompt for further exploration • A broad range of material that may be applied to a selection of sub-disciplines within science and engineering • The inclusion of exercises enables practical learning throughout the book INDICE: Preliminaries.- Incidence Matrix.- Adjacency Matrix.- Laplacian Matrix.- Cycles and Cuts.- Regular Graphs.- Algebraic Connectivity.- Distance Matrix of a Tree.- Resistance Distance.- Laplacian Eigenvalues of Threshold Graphs.- Positive Definite Completion Problem.- Matrix Games Based on Graphs.- Hints and Solutions to Selected Exercises

• ISBN: 978-1-84882-980-0
• Editorial: Springer
• Encuadernacion: Rústica
• Páginas: 171
• Fecha Publicación: 22/06/2010
• Nº Volúmenes: 1
• Idioma: Inglés