Algorithms on Trees and Graphs

Gabriel Valiente

500 pages, parution le 04/10/2002

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Résumé

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.

Contents

- 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
Appendices:
A. An Overview of Leda
B. Interactive Demonstration of Graph Algorithms
C. Program Modules
- References
- Index

L'auteur - Gabriel Valiente

Valiente, Gabriel, Technical University of Catalonia, Barcelona, Spain

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Gabriel Valiente
Parution	04/10/2002
Nb. de pages	500
Format	16 x 24
Couverture	Relié
Poids	860g
Intérieur	Noir et Blanc
EAN13	9783540435501