Algorithms on Trees and Graphs: With Python Code, 2nd Edition
- Length: 402 pages
- Edition: 2
- Language: English
- Publisher: Springer
- Publication Date: 2021-11-17
- ISBN-10: 3030818845
- ISBN-13: 9783030818845
- Sales Rank: #0 (See Top 100 Books)
Graph algorithms is a well-established subject in mathematics and computer science. Beyond classical application fields, such as approximation, combinatorial optimization, graphics, and operations research, graph algorithms have recently attracted increased attention from computational molecular biology and computational chemistry. Centered around the fundamental issue of graph isomorphism, this text goes beyond classical graph problems of shortest paths, spanning trees, flows in networks, and matchings in bipartite graphs. Advanced algorithmic results and techniques of practical relevance are presented in a coherent and consolidated way. This book introduces graph algorithms on an intuitive basis followed by a detailed exposition in a literate programming style, with correctness proofs as well as worst-case analyses. Furthermore, full C++ implementations of all algorithms presented are given using the LEDA library of efficient data structures and algorithms.
Cover Front Matter Part I. Introduction 1. Introduction 2. Algorithmic Techniques Part II. Algorithms on Trees 3. Tree Traversal 4. Tree Isomorphism Part III. Algorithms on Graphs 5. Graph Traversal 6. Clique, Independent Set, and Vertex Cover 7. Graph Isomorphism Back Matter
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