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The Graph Isomorphism Problem

Its Structural Complexity

  • Johannes Köbler
  • Uwe Schöning
  • Jacobo Torán

Part of the Progress in Theoretical Computer Science book series (PTCS)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Johannes Köbler, Uwe Schöning, Jacobo Torán
    Pages 1-4
  3. Johannes Köbler, Uwe Schöning, Jacobo Torán
    Pages 5-10
  4. Johannes Köbler, Uwe Schöning, Jacobo Torán
    Pages 11-50
  5. Johannes Köbler, Uwe Schöning, Jacobo Torán
    Pages 51-90
  6. Johannes Köbler, Uwe Schöning, Jacobo Torán
    Pages 91-116
  7. Johannes Köbler, Uwe Schöning, Jacobo Torán
    Pages 117-148
  8. Back Matter
    Pages 149-160

About this book

Introduction

Recently, a variety ofresults on the complexitystatusofthegraph isomorphism problem has been obtained. These results belong to the so-called structural part of Complexity Theory. Our idea behind this book is to summarize such results which might otherwise not be easily accessible in the literature, and also, to give the reader an understanding of the aims and topics in Structural Complexity Theory, in general. The text is basically self contained; the only prerequisite for reading it is some elementary knowledge from Complexity Theory and Probability Theory. It can be used to teach a seminar or a monographic graduate course, but also parts of it (especially Chapter 1) provide a source of examples for a standard graduate course on Complexity Theory. Many people have helped us in different ways III the process of writing this book. Especially, we would like to thank V. Arvind, R.V. Book, E. May­ ordomo, and the referee who gave very constructive comments. This book project was especially made possible by a DAAD grant in the "Acciones In­ tegrada" program. The third author has been supported by the ESPRIT project ALCOM-II.

Keywords

NP NP-completeness Zero-Knowledge clsmbc complexity complexity theory linear optimization probability

Authors and affiliations

  • Johannes Köbler
    • 1
  • Uwe Schöning
    • 2
  • Jacobo Torán
    • 3
  1. 1.Abteilung Theoretische InformatikUniversität UlmUlmGermany
  2. 2.Fakultät für InformatikUniversität UlmUlmGermany
  3. 3.Dept. de Leng. i. Sist. InformaticsUniversitat Politécnica de CatalunyaBarcelonaSpain

Bibliographic information

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