The Graph Isomorphism Problem [electronic resource] : Its Structural Complexity /

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.

Saved in:
Bibliographic Details
Main Authors: Köbler, Johannes. author., Schöning, Uwe. author., Torán, Jacobo. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 1993
Subjects:Computer science., Algorithms., Computer science, Applied mathematics., Engineering mathematics., Computer mathematics., Combinatorics., Computer Science., Math Applications in Computer Science., Applications of Mathematics., Algorithm Analysis and Problem Complexity., Computational Mathematics and Numerical Analysis.,
Online Access:http://dx.doi.org/10.1007/978-1-4612-0333-9
Tags: Add Tag
No Tags, Be the first to tag this record!
id KOHA-OAI-TEST:195346
record_format koha
spelling KOHA-OAI-TEST:1953462018-07-30T23:21:10ZThe Graph Isomorphism Problem [electronic resource] : Its Structural Complexity / Köbler, Johannes. author. Schöning, Uwe. author. Torán, Jacobo. author. SpringerLink (Online service) textBoston, MA : Birkhäuser Boston : Imprint: Birkhäuser,1993.engRecently, 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.Preliminaries -- 1 Decision Problems, Search Problems, and Counting Problems -- 1.1 NP-Completeness -- 1.2 Reducing the Construction Problem to the Decision Problem -- 1.3 Counting versus Deciding for Graph Isomorphism -- 1.4 Uniqueness of the Solution -- 1.5 Reducing Multiple Questions to One -- 2 Quantifiers, Games, and Interactive Proofs -- 2.1 The Polynomial-Time Hierarchy -- 2.2 Interactive Proof Systems -- 2.3 Probabilistic Classes -- 2.4 Lowness and Collapses -- 3 Circuits and Sparse Sets -- 3.1 Polynomial Size Circuits -- 3.2 Reductions to Sparse Sets -- 4 Counting Properties -- 4.1 Decision Reduces to Parity -- 4.2 Graph Isomorphism is Low for PP -- 4.3 The Reconstruction Conjecture.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.Computer science.Algorithms.Computer scienceApplied mathematics.Engineering mathematics.Computer mathematics.Combinatorics.Computer Science.Math Applications in Computer Science.Applications of Mathematics.Combinatorics.Algorithm Analysis and Problem Complexity.Computational Mathematics and Numerical Analysis.Springer eBookshttp://dx.doi.org/10.1007/978-1-4612-0333-9URN:ISBN:9781461203339
institution COLPOS
collection Koha
country México
countrycode MX
component Bibliográfico
access En linea
En linea
databasecode cat-colpos
tag biblioteca
region America del Norte
libraryname Departamento de documentación y biblioteca de COLPOS
language eng
topic Computer science.
Algorithms.
Computer science
Applied mathematics.
Engineering mathematics.
Computer mathematics.
Combinatorics.
Computer Science.
Math Applications in Computer Science.
Applications of Mathematics.
Combinatorics.
Algorithm Analysis and Problem Complexity.
Computational Mathematics and Numerical Analysis.
Computer science.
Algorithms.
Computer science
Applied mathematics.
Engineering mathematics.
Computer mathematics.
Combinatorics.
Computer Science.
Math Applications in Computer Science.
Applications of Mathematics.
Combinatorics.
Algorithm Analysis and Problem Complexity.
Computational Mathematics and Numerical Analysis.
spellingShingle Computer science.
Algorithms.
Computer science
Applied mathematics.
Engineering mathematics.
Computer mathematics.
Combinatorics.
Computer Science.
Math Applications in Computer Science.
Applications of Mathematics.
Combinatorics.
Algorithm Analysis and Problem Complexity.
Computational Mathematics and Numerical Analysis.
Computer science.
Algorithms.
Computer science
Applied mathematics.
Engineering mathematics.
Computer mathematics.
Combinatorics.
Computer Science.
Math Applications in Computer Science.
Applications of Mathematics.
Combinatorics.
Algorithm Analysis and Problem Complexity.
Computational Mathematics and Numerical Analysis.
Köbler, Johannes. author.
Schöning, Uwe. author.
Torán, Jacobo. author.
SpringerLink (Online service)
The Graph Isomorphism Problem [electronic resource] : Its Structural Complexity /
description 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.
format Texto
topic_facet Computer science.
Algorithms.
Computer science
Applied mathematics.
Engineering mathematics.
Computer mathematics.
Combinatorics.
Computer Science.
Math Applications in Computer Science.
Applications of Mathematics.
Combinatorics.
Algorithm Analysis and Problem Complexity.
Computational Mathematics and Numerical Analysis.
author Köbler, Johannes. author.
Schöning, Uwe. author.
Torán, Jacobo. author.
SpringerLink (Online service)
author_facet Köbler, Johannes. author.
Schöning, Uwe. author.
Torán, Jacobo. author.
SpringerLink (Online service)
author_sort Köbler, Johannes. author.
title The Graph Isomorphism Problem [electronic resource] : Its Structural Complexity /
title_short The Graph Isomorphism Problem [electronic resource] : Its Structural Complexity /
title_full The Graph Isomorphism Problem [electronic resource] : Its Structural Complexity /
title_fullStr The Graph Isomorphism Problem [electronic resource] : Its Structural Complexity /
title_full_unstemmed The Graph Isomorphism Problem [electronic resource] : Its Structural Complexity /
title_sort graph isomorphism problem [electronic resource] : its structural complexity /
publisher Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser,
publishDate 1993
url http://dx.doi.org/10.1007/978-1-4612-0333-9
work_keys_str_mv AT koblerjohannesauthor thegraphisomorphismproblemelectronicresourceitsstructuralcomplexity
AT schoninguweauthor thegraphisomorphismproblemelectronicresourceitsstructuralcomplexity
AT toranjacoboauthor thegraphisomorphismproblemelectronicresourceitsstructuralcomplexity
AT springerlinkonlineservice thegraphisomorphismproblemelectronicresourceitsstructuralcomplexity
AT koblerjohannesauthor graphisomorphismproblemelectronicresourceitsstructuralcomplexity
AT schoninguweauthor graphisomorphismproblemelectronicresourceitsstructuralcomplexity
AT toranjacoboauthor graphisomorphismproblemelectronicresourceitsstructuralcomplexity
AT springerlinkonlineservice graphisomorphismproblemelectronicresourceitsstructuralcomplexity
_version_ 1756266729874391040