This new edition illustrates the power of linear algebra in the
study of graphs. The emphasis on matrix techniques is greater than
in other texts on algebraic graph theory. Important matrices
associated with graphs (for example, incidence, adjacency and
Laplacian matrices) are treated in detail. Presenting a useful
overview of selected topics in algebraic graph theory, early
chapters of the text focus on regular graphs, algebraic
connectivity, the distance matrix of a tree, and its generalized
version for arbitrary graphs, known as the resistance matrix.
Coverage of later topics include Laplacian eigenvalues of threshold
graphs, the positive definite completion problem and matrix games
based on a graph. Such an extensive coverage of the subject area
provides a welcome prompt for further exploration. The inclusion of
exercises enables practical learning throughout the book. In the
new edition, a new chapter is added on the line graph of a tree,
while some results in Chapter 6 on Perron-Frobenius theory are
reorganized. Whilst this book will be invaluable to students and
researchers in graph theory and combinatorial matrix theory, it
will also benefit readers in the sciences and engineering.
General
Imprint: |
Springer London
|
Country of origin: |
United Kingdom |
Series: |
Universitext |
Release date: |
October 2014 |
First published: |
2014 |
Authors: |
Ravindra B. Bapat
|
Dimensions: |
235 x 155 x 12mm (L x W x T) |
Format: |
Paperback
|
Pages: |
193 |
Edition: |
2nd ed. 2014 |
ISBN-13: |
978-1-4471-6568-2 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
LSN: |
1-4471-6568-3 |
Barcode: |
9781447165682 |
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