Artículo: AMZ-0131423843

Graph Theory: Modeling, Applications, and Algorithms

Format:

Paperback

Hardcover

Paperback

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0.89 kg
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  • For junior- to senior-level courses in Graph Theory taken by majors in Mathematics, Computer Science, or Engineering or for beginning-level graduate courses.Once considered an “unimportant” branch of topology, graph theory has come into its own through many important contributions to a wide range of fields ― and is now one of the fastest-growing areas in discrete mathematics and computer science. This new text introduces basic concepts, definitions, theorems, and examples from graph theory. The authors present a collection of interesting results from mathematics that involve key concepts and proof techniques; cover design and analysis of computer algorithms for solving problems in graph theory; and discuss applications of graph theory to the sciences. It is mathematically rigorous, but also practical, intuitive, and algorithmic.
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Preface 1 Introduction to Graph Theory 2 Basic Concepts in Graph Theory 3 TreesandForests 4 Spanning Trees 5 Fundamental Properties of Graphs and Digraphs 6 Connectivity and Flow 7 Planar Graphs 8 Graph Coloring 9 Coloring Enumerations and Chordal Graphs 10 Independence,Dominance, and Matchings 11 Cover Parameters and MatchingPolynomials 12 GraphCounting 13 Graph Algorithms APPENDICES A Greek Alphabet B Notation C Top Ten Online References Index ix