The Graph Isomorphism Problem
Its Structural Complexity
Authors: Kobler, J., Schöning, U., Toran, Jacobo
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- About this book
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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.
- Table of contents (6 chapters)
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Introduction
Pages 1-4
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Preliminaries
Pages 5-10
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Decision Problems, Search Problems, and Counting Problems
Pages 11-50
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Quantifiers, Games, and Interactive Proofs
Pages 51-90
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Circuits and Sparse Sets
Pages 91-116
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Table of contents (6 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- The Graph Isomorphism Problem
- Book Subtitle
- Its Structural Complexity
- Authors
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- J. Kobler
- U. Schöning
- Jacobo Toran
- Series Title
- Progress in Theoretical Computer Science
- Copyright
- 1993
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer Science+Business Media New York
- eBook ISBN
- 978-1-4612-0333-9
- DOI
- 10.1007/978-1-4612-0333-9
- Hardcover ISBN
- 978-0-8176-3680-7
- Softcover ISBN
- 978-1-4612-6712-6
- Edition Number
- 1
- Number of Pages
- VII, 160
- Topics
