Format:
Online-Ressource (XI, 193 p. 32 illus, online resource)
Edition:
2nd ed. 2014
ISBN:
9781447165699
Series Statement:
Universitext
Content:
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
Additional Edition:
ISBN 9781447165682
Additional Edition:
Erscheint auch als Druck-Ausgabe Bapat, Ravi B. Graphs and matrices New Delhi : HBA, Hindustan Book Agency, 2014 ISBN 9781447165682
Additional Edition:
ISBN 9789380250663
Language:
English
Subjects:
Mathematics
Keywords:
Graphentheorie
;
Matrix
;
Matrizenalgebra
;
Graphentheorie
;
Matrix
;
Matrizenalgebra
DOI:
10.1007/978-1-4471-6569-9
URL:
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