© 2002

Algorithms on Trees and Graphs


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


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


Matchings algorithms combinatorial optimization computer computer science data structures optimization programming

Authors and affiliations

  1. 1.Department of SoftwareTechnical University of CataloniaBarcelonaSpain

Bibliographic information


From the reviews:

"The main theme of this (research) monograph on graph algorithms is the isomorphism problem (for trees and graphs). Algorithms are both described on an intuitive basis and presented (and discussed) in detail using Knuth’s literate programming style (C++, using the LEDA library). Besides offering an introduction to an interesting and important subject (with applications, e.g., in biology and chemistry), it also is a valuable (and unified) reference to material previously only available in research papers." (P. Schmitt, Monatshefte für Mathematik, Vol. 142 (4), 2004)

"The book goes beyond classical graph problems and addresses algorithmic problems with practical applications. … will have a great potential in the hands of a dedicated teacher who is both willing and capable of using the software. Because much of the material in the book was previously only available in specialized research literature, this book will be very valuable also for researchers of algorithmic graph theory. This richly illustrated book has an extensive bibliography and several appendices describing the software." (Matti Vuorinen, Zentralblatt MATH, Vol. 1007, 2003)