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Algorithms on Trees and Graphs

  • Gabriel┬áValiente

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Introduction

    1. Front Matter
      Pages 1-1
    2. Gabriel Valiente
      Pages 3-53
    3. Gabriel Valiente
      Pages 55-110
  3. Algorithms on Trees

    1. Front Matter
      Pages 111-111
    2. Gabriel Valiente
      Pages 113-149
    3. Gabriel Valiente
      Pages 151-251
  4. Algorithms on Graphs

    1. Front Matter
      Pages 253-253
    2. Gabriel Valiente
      Pages 255-298
    3. Gabriel Valiente
      Pages 299-350
    4. Gabriel Valiente
      Pages 351-397
  5. Back Matter
    Pages 399-490

About this book

Introduction

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

Keywords

Matchings algorithms combinatorial optimization computer computer science data structures optimization programming

Authors and affiliations

  • Gabriel┬áValiente
    • 1
  1. 1.Department of SoftwareTechnical University of CataloniaBarcelonaSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-04921-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-07809-5
  • Online ISBN 978-3-662-04921-1
  • Buy this book on publisher's site
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