Group Theoretic Algorithms And Graph Isomorphism

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Group-theoretic Algorithms and Graph Isomorphism

Author : Christoph Martin Hoffmann
Publisher : Springer
Page : 328 pages
File Size : 46,6 Mb
Release : 1982
Category : Mathematics
ISBN : UOM:39015002059098

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Group-theoretic Algorithms and Graph Isomorphism by Christoph Martin Hoffmann Pdf

The Graph Isomorphism Problem

Author : J. Kobler,U. Schöning,J. Toran
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 48,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461203339

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The Graph Isomorphism Problem by J. Kobler,U. Schöning,J. Toran Pdf

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.

The Graph Isomorphism Algorithm

Author : Ashay Dharwadker,John-Tagore Tevet
Publisher : Institute of Mathematics
Page : 42 pages
File Size : 49,5 Mb
Release : 2009-08-08
Category : Mathematics
ISBN : 9781466394377

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The Graph Isomorphism Algorithm by Ashay Dharwadker,John-Tagore Tevet Pdf

We present a new polynomial-time algorithm for determining whether two given graphs are isomorphic or not. We prove that the algorithm is necessary and sufficient for solving the Graph Isomorphism Problem in polynomial-time, thus showing that the Graph Isomorphism Problem is in P. The semiotic theory for the recognition of graph structure is used to define a canonical form of the sign matrix of a graph. We prove that the canonical form of the sign matrix is uniquely identifiable in polynomial-time for isomorphic graphs. The algorithm is demonstrated by solving the Graph Isomorphism Problem for many of the hardest known examples. We implement the algorithm in C++ and provide a demonstration program for Microsoft Windows.

The Graph Isomorphism Problem

Author : Johannes Köbler,Uwe Schöning,Jacobo Torán
Publisher : Unknown
Page : 160 pages
File Size : 44,5 Mb
Release : 1993-01-01
Category : Complexité de calcul (Informatique)
ISBN : 3764336803

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The Graph Isomorphism Problem by Johannes Köbler,Uwe Schöning,Jacobo Torán Pdf

"The graph isomorphism problem belongs to the part of Complexity Theory that focuses on the structure of complexity classes involved in the classification of computational problems and in the relations among them. It consists in deciding whether two given graphs are isomorphic, i.e. whether there is a bijective mapping from the nodes of one graph to the nodes of the second graph such that the edge connections are respected. It is a problem of considerable practical as wen as theoretical importance that is, as of now, unresolved in the sense that no efficient algorithm for it has yet been found. Given this fact, it is natural to ask whether such an algorithm exists at an or whether the problem is intractable. -Be book focuses on this issue and presents several recent results that provide a better understanding of the relative position of the graph isomorphism problem in the class NP as well as in other complexity classes. It also uses the problem to illustrate important concepts in structural complexity, providing a look into the more general theory. 'The book is basically self-contained; the only prerequisite for reading it is some elementary knowledge from Complexity Theory and Probability Theory. Its level of presentation makes it eminently suitable for a seminar or graduate course devoted to the problem, or as a rich source of examples for a standard graduate course in Complexity Theory." -- Book cover.

Handbook of Graph Theory

Author : Jonathan L. Gross,Jay Yellen
Publisher : CRC Press
Page : 1200 pages
File Size : 51,5 Mb
Release : 2003-12-29
Category : Computers
ISBN : 0203490207

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Handbook of Graph Theory by Jonathan L. Gross,Jay Yellen Pdf

The Handbook of Graph Theory is the most comprehensive single-source guide to graph theory ever published. Best-selling authors Jonathan Gross and Jay Yellen assembled an outstanding team of experts to contribute overviews of more than 50 of the most significant topics in graph theory-including those related to algorithmic and optimization approach

Algorithms and Complexity

Author : Bozzano G Luisa
Publisher : Elsevier
Page : 1014 pages
File Size : 42,8 Mb
Release : 1990-09-12
Category : Computers
ISBN : 0444880712

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Algorithms and Complexity by Bozzano G Luisa Pdf

This first part presents chapters on models of computation, complexity theory, data structures, and efficient computation in many recognized sub-disciplines of Theoretical Computer Science.

Algorithms and Computation

Author : Ying Fei Dong,Ding-Zhu Du,Oscar H. Ibarra
Publisher : Springer
Page : 1228 pages
File Size : 53,7 Mb
Release : 2009-12-04
Category : Computers
ISBN : 9783642106316

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Algorithms and Computation by Ying Fei Dong,Ding-Zhu Du,Oscar H. Ibarra Pdf

This book constitutes the refereed proceedings of the 20th International Symposium on Algorithms and Computation, ISAAC 2009, held in Honolulu, Hawaii, USA in December 2009. The 120 revised full papers presented were carefully reviewed and selected from 279 submissions for inclusion in the book. This volume contains topics such as algorithms and data structures, approximation algorithms, combinatorial optimization, computational biology, computational complexity, computational geometry, cryptography, experimental algorithm methodologies, graph drawing and graph algorithms, internet algorithms, online algorithms, parallel and distributed algorithms, quantum computing and randomized algorithms.

Groups and Computation

Author : Larry Finkelstein,William M. Kantor
Publisher : American Mathematical Soc.
Page : 340 pages
File Size : 42,8 Mb
Release : 1993-01-01
Category : Mathematics
ISBN : 0821870580

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Groups and Computation by Larry Finkelstein,William M. Kantor Pdf

This volume contains papers presented at the Workshop on Groups and Computation, held in October, 1991. The workshop explored interactions among four areas: symbolic algebra and computer algebra, theoretical computer science, group theory, and applications of group computation. The relationships between implementation and complexity form a recurrent theme, though the papers also discuss such topics as parallel algorithms for groups, computation in associative algebras, asymptotic behavior of permutation groups, the study of finite groups using infinite reflection groups, combinatorial searching, computing with representations, and Cayley graphs as models for interconnection networks.

Foundations of Software Technology and Theoretical Computer Science

Author : S. Ramesh
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 47,9 Mb
Release : 1997-11-28
Category : Computers
ISBN : 3540638768

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Foundations of Software Technology and Theoretical Computer Science by S. Ramesh Pdf

This book constitutes the refereed proceedings of the 17th International Conference on Foundations of Software Technology and Theoretical Computer Science, FSTTCS'97. The 18 revised full papers presented were selected from a total of 68 submissions. Also included are five invited papers by Ed Clarke, Deepak Kapur, Madhu Sudan, Vijaya Ramachandran, and Moshe Vardi. Among the topics addressed are concurrency, Petri nets, graph computations, program verification, model checking, recursion theory, rewriting, and error-correcting codes.

Foundations of Software Technology and Theoretical Computer Science

Author : V. Arvind,R. Ramanujam
Publisher : Springer
Page : 369 pages
File Size : 43,6 Mb
Release : 2004-01-24
Category : Computers
ISBN : 9783540493822

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Foundations of Software Technology and Theoretical Computer Science by V. Arvind,R. Ramanujam Pdf

This book constitutes the refereed proceedings of the 18th Conference on Foundations of Software Technology and Theoretical Computer Science, FSTTCS'98, held in Chennai, India, in December 1998. The 28 revised full papers presented were carefully selected from a total of 93 submissions; also included are six invited contributions. The papers deal with theoretical topics ranging from discrete mathematics and algorithmic aspects to software engineering, program semantics and mathematical logic.

Algorithms and Classification in Combinatorial Group Theory

Author : Gilbert Baumslag,Charles F. III Miller
Publisher : Springer Science & Business Media
Page : 235 pages
File Size : 46,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461397304

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Algorithms and Classification in Combinatorial Group Theory by Gilbert Baumslag,Charles F. III Miller Pdf

The papers in this volume are the result of a workshop held in January 1989 at the Mathematical Sciences Research Institute. Topics covered include decision problems, finitely presented simple groups, combinatorial geometry and homology, and automatic groups and related topics.

Computer Science - Theory and Applications

Author : Edward A. Hirsch,Alexander A. Razborov,Alexei Semenov,Anatol Slissenko
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 45,5 Mb
Release : 2008-05-08
Category : Computers
ISBN : 9783540797081

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Computer Science - Theory and Applications by Edward A. Hirsch,Alexander A. Razborov,Alexei Semenov,Anatol Slissenko Pdf

The Third International Computer Science Symposium in Russia (CSR-2008) was held during June 7–12, 2008 in Moscow, Russia, hosted by Dorodnicyn Computing Centre of Russian Academy of Sciences, Institute for System P- gramming of Russian Academy of Sciences, Moscow State University, Moscow Institute of Open Education,andInstitute ofNew Technologies.It was the third event in the series of regular international meetings following CSR-2006 in St. Petersburg and CSR-2007 in Ekaterinburg. The symposiumwascomposedof twotracks:Theory andApplications/Te- nology.The opening lecture was given by Avi Wigdersonand eight other invited plenarylecturesweregivenby EricAllender,ZurabKhasidashvili,LeonidLevin, Pavel Pudl´ ak, Florin Spanachi, Limsoon Wong, Yuri Zhuravlev and Konstantin Rudakov, and Uri Zwick. This volume contains the accepted papers of both tracks and also some of the abstracts of the invited speakers. The scope of the proposed topics for the symposium was quite broad and covered basically all areas of computer science and its applications. We received 103 papers in total. The Program Committee of the Theory Track selected 27 papers out of 62 submissions. The Program Committee of the Applications/Technology Track selected 6 papers out of 41 submissions.

Permutation Group Algorithms

Author : Ákos Seress
Publisher : Cambridge University Press
Page : 292 pages
File Size : 48,9 Mb
Release : 2003-03-17
Category : Mathematics
ISBN : 052166103X

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Permutation Group Algorithms by Ákos Seress Pdf

Table of contents

STACS 96

Author : Claude Puech,Rüdiger Reischuk
Publisher : Springer Science & Business Media
Page : 710 pages
File Size : 41,7 Mb
Release : 1996-02-14
Category : Computers
ISBN : 3540609229

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STACS 96 by Claude Puech,Rüdiger Reischuk Pdf

This book constitutes the refereed proceedings of the 13th Symposium on Theoretical Aspects of Computer Science, STACS 96, held in Grenoble, France in February 1996. The 52 revised papers presented were selected from a total of 185 submissions; also included are three invited papers. The volume addresses all current aspects of theoretical computer science and is organized in sections on complexity theory, automata theory, parallel algorithms, learning, parallel and distributed systems, cryptography, logic and database theory, algorithms, semantics and program verification, and communication complexity.