The Graph Isomorphism Algorithm

Author : Ashay Dharwadker,John-Tagore Tevet
Publisher : Institute of Mathematics
Page : 42 pages
File Size : 54,9 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.

Author : J. Kobler,U. Schöning,J. Toran
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 52,7 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.

Author : Christoph Martin Hoffmann
Publisher : Springer
Page : 328 pages
File Size : 41,6 Mb
Release : 1982
Category : Mathematics
ISBN : UOM:39015002059098

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

Author : Johannes Köbler,Uwe Schöning,Jacobo Torán
Publisher : Unknown
Page : 160 pages
File Size : 46,8 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.

Author : J. M. Bennett,Jennifer J. Edwards
Publisher : Unknown
Page : 20 pages
File Size : 41,9 Mb
Release : 1988
Category : Isomorphisms (Mathematics)
ISBN : 0949100617

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A Graph Isomorphism Algorithm Using Pseudoinverses by J. M. Bennett,Jennifer J. Edwards Pdf

Author : Ming-Yang Kao
Publisher : Springer Science & Business Media
Page : 1200 pages
File Size : 50,9 Mb
Release : 2008-08-06
Category : Computers
ISBN : 9780387307701

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Encyclopedia of Algorithms by Ming-Yang Kao Pdf

One of Springer’s renowned Major Reference Works, this awesome achievement provides a comprehensive set of solutions to important algorithmic problems for students and researchers interested in quickly locating useful information. This first edition of the reference focuses on high-impact solutions from the most recent decade, while later editions will widen the scope of the work. All entries have been written by experts, while links to Internet sites that outline their research work are provided. The entries have all been peer-reviewed. This defining reference is published both in print and on line.

Author : Gabriel Valiente
Publisher : Springer Science & Business Media
Page : 492 pages
File Size : 49,5 Mb
Release : 2013-04-17
Category : Computers
ISBN : 9783662049211

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Algorithms on Trees and Graphs by Gabriel Valiente Pdf

Graph algorithms is a well-established subject in mathematics and computer science. Beyond classical application fields, such as 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.

Author : C. M. Hoffmann
Publisher : Unknown
Page : 324 pages
File Size : 42,7 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662201437

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Group-Theoretic Algorithms and Graph Isomorphism by C. M. Hoffmann Pdf

Author : Ákos Seress
Publisher : Cambridge University Press
Page : 292 pages
File Size : 48,8 Mb
Release : 2003-03-17
Category : Mathematics
ISBN : 052166103X

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Permutation Group Algorithms by Ákos Seress Pdf

Table of contents

Author : Sirakov Boyan,Souza Paulo Ney De,Viana Marcelo
Publisher : World Scientific
Page : 5396 pages
File Size : 55,7 Mb
Release : 2019-02-27
Category : Mathematics
ISBN : 9789813272897

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Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) by Sirakov Boyan,Souza Paulo Ney De,Viana Marcelo Pdf

The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.

Author : Donald L. Kreher,Douglas R. Stinson
Publisher : CRC Press
Page : 346 pages
File Size : 41,8 Mb
Release : 2020-09-24
Category : Computers
ISBN : 9781000141375

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Combinatorial Algorithms by Donald L. Kreher,Douglas R. Stinson Pdf

This textbook thoroughly outlines combinatorial algorithms for generation, enumeration, and search. Topics include backtracking and heuristic search methods applied to various combinatorial structures, such as: Combinations Permutations Graphs Designs Many classical areas are covered as well as new research topics not included in most existing texts, such as: Group algorithms Graph isomorphism Hill-climbing Heuristic search algorithms This work serves as an exceptional textbook for a modern course in combinatorial algorithms, providing a unified and focused collection of recent topics of interest in the area. The authors, synthesizing material that can only be found scattered through many different sources, introduce the most important combinatorial algorithmic techniques - thus creating an accessible, comprehensive text that students of mathematics, electrical engineering, and computer science can understand without needing a prior course on combinatorics.

Author : Giuseppe Liotta,Roberto Tamassia,Ioannis G. Tollis
Publisher : World Scientific
Page : 378 pages
File Size : 40,7 Mb
Release : 2006
Category : Mathematics
ISBN : 9789812568458

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Graph Algorithms and Applications 5 by Giuseppe Liotta,Roberto Tamassia,Ioannis G. Tollis Pdf

This book contains Volume 8 of the Journal of Graph Algorithms and Applications (JGAA). JGAA is a peer-reviewed scientific journal devoted to the publication of high-quality research papers on the analysis, design, implementation, and applications of graph algorithms. Areas of interest include computational biology, computational geometry, computer graphics, computer-aided design, computer and interconnection networks, constraint systems, databases, graph drawing, graph embedding and layout, knowledge representation, multimedia, software engineering, telecommunications networks, user interfaces and visualization, and VLSI circuit design.Graph Algorithms and Applications 5 presents contributions from prominent authors and includes selected papers from the Tenth International Symposium on Graph Drawing (GD 2002). All papers in the book have extensive diagrams and offer a unique treatment of graph algorithms focusing on the important applications.

Author : Hang T. Lau
Publisher : CRC Press
Page : 386 pages
File Size : 52,6 Mb
Release : 2006-10-20
Category : Computers
ISBN : 9781584887195

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A Java Library of Graph Algorithms and Optimization by Hang T. Lau Pdf

Because of its portability and platform-independence, Java is the ideal computer programming language to use when working on graph algorithms and other mathematical programming problems. Collecting some of the most popular graph algorithms and optimization procedures, A Java Library of Graph Algorithms and Optimization provides the source code for

Author : Merrick Lee Furst
Publisher : Unknown
Page : 84 pages
File Size : 49,7 Mb
Release : 1980
Category : Graph theory
ISBN : CORNELL:31924004337576

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A Subexponential Algorithm for Trivalent Graph Isomorphism by Merrick Lee Furst Pdf

NO ABSTRACT SUPPLIED.

Author : Giuseppe Liotta,Roberto Tamassia,Ioannis G. Tollis
Publisher : World Scientific
Page : 418 pages
File Size : 40,5 Mb
Release : 2004-01-01
Category : Mathematics
ISBN : 9812796606

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Graph Algorithms and Applications 3 by Giuseppe Liotta,Roberto Tamassia,Ioannis G. Tollis Pdf

This book contains Volume 6 of the Journal of Graph Algorithms and Applications (JGAA) . JGAA is a peer-reviewed scientific journal devoted to the publication of high-quality research papers on the analysis, design, implementation, and applications of graph algorithms. Areas of interest include computational biology, computational geometry, computer graphics, computer-aided design, computer and interconnection networks, constraint systems, databases, graph drawing, graph embedding and layout, knowledge representation, multimedia, software engineering, telecommunications networks, user interfaces and visualization, and VLSI circuit design. Graph Algorithms and Applications 3 presents contributions from prominent authors and includes selected papers from the Symposium on Graph Drawing (1999 and 2000). All papers in the book have extensive diagrams and offer a unique treatment of graph algorithms focusing on the important applications. Contents: Triangle-Free Planar Graphs and Segment Intersection Graphs (N de Castro et al.); Traversing Directed Eulerian Mazes (S Bhatt et al.); A Fast Multi-Scale Method for Drawing Large Graphs (D Harel & Y Koren); GRIP: Graph Drawing with Intelligent Placement (P Gajer & S G Kobourov); Graph Drawing in Motion (C Friedrich & P Eades); A 6-Regular Torus Graph Family with Applications to Cellular and Interconnection Networks (M Iridon & D W Matula); and other papers. Readership: Researchers and practitioners in theoretical computer science, computer engineering, and combinatorics and graph theory.