Graphs and Matrices

by R.B. Bapat

"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.

Genres: Mathematics

193 pages, Hardcover

First published January 1, 2010

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