Algorithms on Trees and Graphs
By: by Gabriel Valiente
Publisher: Springer Berlin Heidelberg
Published: 2002
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 490
ISBN-13: 9783642078095; 9783662049211
Subjects: Computational complexity; Algorithms; Computer science; Bioinformatics; Chemistry; Data structures (Computer science); Computer software
Description: Graph algorithms is a well-established subject in mathematics and computer science. Beyond classical application fields, like 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. Numerous illustrations, examples, and exercises, and a comprehensive bibliography support students and professionals in using the book as a text and source of reference.
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Table of contents: title: Preface; title: Part I. Introduction: 1. Introduction. 2. Algorithmic Techniques; title: Part II. Algorithms on Trees: 3. Tree Traversal. 4. Tree Isomorphism; title: Part III. Algorithms on Graphs: 5. Graph Traversal. 6. Clique, Independent Set, and Vertex Cover. 7. Graph Isomorphism; Appendices: A. An Overview of Leda. B. Interactive Demonstration of Graph Algorithms. C. Program Modules. - References; title: Index.