Algorithms on Trees and Graphs

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. Numerous illustrations, examples, and exercises, and a comprehensive bibliography support students and professionals in using the book as a text and source of reference.

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. Full C++ implementations of all algorithms presented are given using the LEDA library of efficient data structures and algorithms.

Algorithms are first presented on an intuitive basis, followed by a detailed exposition in a literate programming style Correctness proofs are given, together with a worst-case analysis of the algorithms Full C++ implementation of all the algorithms using the LEDA library Interactive demonstration including animations An extensive chapter is devoted to the algorithmic techniques used in the book

Inhalt

1. Introduction.- 2. Algorithmic Techniques.- 3. Tree Traversal.- 4. Tree Isomorphism.- 5. Graph Traversal.- 6. Clique, Independent Set, and Vertex Cover.- 7. Graph Isomorphism.- IV. Appendices.- A. An Overview of LEDA.- A.1 Introduction.- A.2 Data Structures.- A.3 Fundamental Graph Algorithms.- A.4 A Simple Representation of Trees.- A.5 A Simple Implementation of Radix Sort.- Bibliographic Notes.- B. Interactive Demonstration of Graph Algorithms.- C. Program Modules.