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English
Chapman & Hall/CRC
26 September 2016
The second edition of this popular book presents the theory of graphs from an algorithmic viewpoint. The authors present the graph theory in a rigorous, but informal style and cover most of the main areas of graph theory. The ideas of surface topology are presented from an intuitive point of view. We have also included a discussion on linear programming that emphasizes problems in graph theory. The text is suitable for students in computer science or mathematics programs.

By:   , , ,
Imprint:   Chapman & Hall/CRC
Country of Publication:   United States
Edition:   2nd edition
Volume:   90
Dimensions:   Height: 234mm,  Width: 156mm,  Spine: 36mm
Weight:   960g
ISBN:   9781482251166
ISBN 10:   1482251167
Series:   Discrete Mathematics and Its Applications
Pages:   566
Publication Date:  
Audience:   College/higher education ,  Primary
Format:   Hardback
Publisher's Status:   Active

William Kocay is a professor in the Department of Computer Science at St. Paul's College of the University of Manitoba, Canada. Donald Kreher is a professor of mathematical sciences at Michigan Technological University, Houghton, Michigan.

Reviews for Graphs, Algorithms, and Optimization

Given this is the second edition of a respected text, it is important to examine what has changed and how the text has improved. Using an algorithmic viewpoint, the authors explore the standard aspects of graph theory-complements, paths, walks, subgraphs, trees, cycles, connectivity, symmetry, network flows, digraphs, colorings, graph matchings, and planar graphs. The expanded topics include explorations of subgraph counting, graphs and symmetries via permutation groups, graph embeddings on topological surfaces such as the Klein bottle and the double torus, and the connections of graphs to linear programming, including the primal-dual algorithm and discrete considerations, where the integral variables are bounded. Other text changes include some proof corrections and meaningful content revisions. Each chapter section contains rich exercise sets, complemented by chapter notes and an extensive bibliography. The authors' claim is correct-their style is rigorous, but informal, insightful, and it works. The text's algorithms are generic in style, and usable with any major language. In summary, aimed at computer science and mathematics students, this revised text on graph theory will both challenge upper-level undergraduates and provide a comprehensive foundation for graduate students. --J. Johnson, Western Washington University


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