This comprehensive text features clear exposition on modern algorithmic graph theory presented in a rigorous yet approachable way. It covers the major areas of graph theory, including discrete optimization and its connection to graph algorithms. The authors explore surface topology from an intuitive point of view and include detailed discussions on linear programming that emphasize graph theory problems useful in mathematics and computer science. Many algorithms are provided along with the data structure needed to program the algorithms efficiently.
This comprehensive text features clear exposition on modern algorithmic graph theory presented in a rigorous yet approachable way. It covers the major areas of graph theory, including discrete optimization and its connection to graph algorithms. The authors explore surface topology from an intuitive point of view and include detailed discussions on linear programming that emphasize graph theory problems useful in mathematics and computer science. Many algorithms are provided along with the data structure needed to program the algorithms efficiently.
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.
Inhaltsangabe
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
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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