Graphs, Algorithms, and Optimization, Second Edition
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Description
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. Content: Preface 1 Graphs and Their Complements 2 Paths and Walks 3 Subgraphs 4 Some Special Classes of Graphs 5 Trees and Cycles 6 The Structure of Trees 7 Connectivity 8 Graphs and Symmetry 9 Alternating Paths and Matchings 10 Network Flows 11 Hamilton Cycles 12 Digraphs 13 Graph Colorings 14 Planar Graphs 15 Graphs and Surfaces 16 The Klein Bottle and the Double Torus 17 Linear Programming 18 The Primal-Dual Algorithm 19 Discrete Linear Programming Bibliography Index
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