"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.
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