Fast Parallel Algorithms For Graph Matching Problems

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Fast Parallel Algorithms for Graph Matching Problems

Author : Marek Karpiński
Publisher : Oxford University Press
ISBN 13 : 9780198501626
Total Pages : 228 pages
Book Rating : 4.5/5 (16 download)

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Book Synopsis Fast Parallel Algorithms for Graph Matching Problems by : Marek Karpiński

Download or read book Fast Parallel Algorithms for Graph Matching Problems written by Marek Karpiński and published by Oxford University Press. This book was released on 1998 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The matching problem is central to graph theory and the theory of algorithms. This book provides a comprehensive and straightforward introduction to the basic methods for designing efficient parallel algorithms for graph matching problems. Written for students at the beginning graduate level, the exposition is largely self-contained and example-driven; prerequisites have been kept to a minimum by including relevant background material. The book contains full details of several new techniques and will be of interest to researchers in computer science, operations research, discrete mathematics, and electrical engineering. The main theoretical tools are presented in three independent chapters, devoted to combinatorial tools, probabilistic tools, and algebraic tools. One of the goals of the book is to show how these three approaches can be combined to develop efficient parallel algorithms. The book represents a meeting point of interesting algorithmic techniques and opens up new algebraic and geometric areas.

Fast Parallel Algorithms for Graph-theoretic Problems, Matching, Coloring and Partitioning

Author : Howard Jeffrey Karloff
Publisher :
ISBN 13 :
Total Pages : 166 pages
Book Rating : 4.:/5 (29 download)

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Book Synopsis Fast Parallel Algorithms for Graph-theoretic Problems, Matching, Coloring and Partitioning by : Howard Jeffrey Karloff

Download or read book Fast Parallel Algorithms for Graph-theoretic Problems, Matching, Coloring and Partitioning written by Howard Jeffrey Karloff and published by . This book was released on 1985 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fast Parallel Algorithms for Graphs and Networks

Author : Danny Soroker
Publisher :
ISBN 13 :
Total Pages : 238 pages
Book Rating : 4.:/5 (29 download)

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Book Synopsis Fast Parallel Algorithms for Graphs and Networks by : Danny Soroker

Download or read book Fast Parallel Algorithms for Graphs and Networks written by Danny Soroker and published by . This book was released on 1987 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many theorems in graph theory give simple characterizations for testing the existence of objects with certain properties, which can be translated into fast parallel algorithms. However, transforming these tests into algorithms for constructing such objects is often a real challenge. In this thesis we develop fast parallel ("NC") algorithms for several such construction problems.

Paradigms for Fast Parallel Approximability

Author : Josep Díaz
Publisher : Cambridge University Press
ISBN 13 : 0521431700
Total Pages : 170 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Paradigms for Fast Parallel Approximability by : Josep Díaz

Download or read book Paradigms for Fast Parallel Approximability written by Josep Díaz and published by Cambridge University Press. This book was released on 1997-07-10 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Various problems in computer science are 'hard', that is NP-complete, and so not realistically computable; thus in order to solve them they have to be approximated. This book is a survey of the basic techniques for approximating combinatorial problems using parallel algorithms. Its core is a collection of techniques that can be used to provide parallel approximations for a wide range of problems (for example, flows, coverings, matchings, travelling salesman problems, graphs), but in order to make the book reasonably self-contained, the authors provide an introductory chapter containing the basic definitions and results. A final chapter deals with problems that cannot be approximated, and the book is ended by an appendix that gives a convenient summary of the problems described in the book. This is an up-to-date reference for research workers in the area of algorithms, but it can also be used for graduate courses in the subject.

Fast Parallel Algorithms for the Modular Decomposition

Author : Cornell University. Dept. of Computer Science
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (225 download)

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Book Synopsis Fast Parallel Algorithms for the Modular Decomposition by : Cornell University. Dept. of Computer Science

Download or read book Fast Parallel Algorithms for the Modular Decomposition written by Cornell University. Dept. of Computer Science and published by . This book was released on 1989 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: A module in a graph is like a black box: all the vertices in the module look the same to vertices not in the module. This paper gives the first $NC$ algorithm for finding the modular decomposition of a graph. The algorithm runs in $O$(log $n$) time using $O(n[superscript]{3})$ processors on a CRCW PRAM. This decomposition is used to obtain fast sequential and parallel algorithms for solving graph problems on graphs of bounded module size, e.g. the class of cographs where each module with more than one vertex is either disconnected or its complement is disconnected. These graph problems include minimum coloring, maximum clique, matching, Hamiltonian circuit, and maximum cut. Many of these problems can be solved with $O(n[superscript]{3})$ processors in $O$(log $n$) time. All of them can be solved in $NC$. Our modular decomposition algorithm can be used to obtain more efficient algorithms for recognizing and orienting comparability graphs.

Combinatorial Scientific Computing

Author : Uwe Naumann
Publisher : CRC Press
ISBN 13 : 1439827354
Total Pages : 602 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Combinatorial Scientific Computing by : Uwe Naumann

Download or read book Combinatorial Scientific Computing written by Uwe Naumann and published by CRC Press. This book was released on 2012-01-25 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial Scientific Computing explores the latest research on creating algorithms and software tools to solve key combinatorial problems on large-scale high-performance computing architectures. It includes contributions from international researchers who are pioneers in designing software and applications for high-performance computing systems. The book offers a state-of-the-art overview of the latest research, tool development, and applications. It focuses on load balancing and parallelization on high-performance computers, large-scale optimization, algorithmic differentiation of numerical simulation code, sparse matrix software tools, and combinatorial challenges and applications in large-scale social networks. The authors unify these seemingly disparate areas through a common set of abstractions and algorithms based on combinatorics, graphs, and hypergraphs. Combinatorial algorithms have long played a crucial enabling role in scientific and engineering computations and their importance continues to grow with the demands of new applications and advanced architectures. By addressing current challenges in the field, this volume sets the stage for the accelerated development and deployment of fundamental enabling technologies in high-performance scientific computing.

Fast Optimal Parallel Algorithms for Maximal Matching in Sparse Graphs

Author : Hari S. Asuri
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (254 download)

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Book Synopsis Fast Optimal Parallel Algorithms for Maximal Matching in Sparse Graphs by : Hari S. Asuri

Download or read book Fast Optimal Parallel Algorithms for Maximal Matching in Sparse Graphs written by Hari S. Asuri and published by . This book was released on 1992 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Efficient Parallel Algorithms

Author : Alan Gibbons
Publisher : Cambridge University Press
ISBN 13 : 9780521388412
Total Pages : 280 pages
Book Rating : 4.3/5 (884 download)

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Book Synopsis Efficient Parallel Algorithms by : Alan Gibbons

Download or read book Efficient Parallel Algorithms written by Alan Gibbons and published by Cambridge University Press. This book was released on 1989-11-24 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Parallelism.

Fast, Efficient Parallel Algorithms for Some Graph Problems

Author : Carla Diane Savage
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (371 download)

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Book Synopsis Fast, Efficient Parallel Algorithms for Some Graph Problems by : Carla Diane Savage

Download or read book Fast, Efficient Parallel Algorithms for Some Graph Problems written by Carla Diane Savage and published by . This book was released on 1978 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parallel Algorithms for Labeled Graph Matching

Author : Mohammad A. Abdulrahim
Publisher :
ISBN 13 :
Total Pages : 244 pages
Book Rating : 4.:/5 (397 download)

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Book Synopsis Parallel Algorithms for Labeled Graph Matching by : Mohammad A. Abdulrahim

Download or read book Parallel Algorithms for Labeled Graph Matching written by Mohammad A. Abdulrahim and published by . This book was released on 1998 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parallel Algorithms for Regular Architectures

Author : Russ Miller
Publisher : MIT Press
ISBN 13 : 9780262132336
Total Pages : 336 pages
Book Rating : 4.1/5 (323 download)

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Book Synopsis Parallel Algorithms for Regular Architectures by : Russ Miller

Download or read book Parallel Algorithms for Regular Architectures written by Russ Miller and published by MIT Press. This book was released on 1996 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parallel-Algorithms for Regular Architectures is the first book to concentrate exclusively on algorithms and paradigms for programming parallel computers such as the hypercube, mesh, pyramid, and mesh-of-trees.

Probability and Algorithms

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309047765
Total Pages : 189 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Probability and Algorithms by : National Research Council

Download or read book Probability and Algorithms written by National Research Council and published by National Academies Press. This book was released on 1992-02-01 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some of the hardest computational problems have been successfully attacked through the use of probabilistic algorithms, which have an element of randomness to them. Concepts from the field of probability are also increasingly useful in analyzing the performance of algorithms, broadening our understanding beyond that provided by the worst-case or average-case analyses. This book surveys both of these emerging areas on the interface of the mathematical sciences and computer science. It is designed to attract new researchers to this area and provide them with enough background to begin explorations of their own.

The Complexity of Parallel Algorithms

Author : Richard J. Anderson (Computer scientist)
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis The Complexity of Parallel Algorithms by : Richard J. Anderson (Computer scientist)

Download or read book The Complexity of Parallel Algorithms written by Richard J. Anderson (Computer scientist) and published by . This book was released on 1985 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis addresses a number of theoretical issues in parallel computation. There are many open questions relating to what can be done with parallel computers and what are the most effective techniques to use to develop parallel algorithms. The author examines various problems in hope of gaining insight to the general questions. One topic that is investigated is the relationship between sequential and parallel algorithms. Introduced is the concept of a P-complete algorithm to capture what it means for an algorithm to be inherently sequential . It is shown that a number of sequential greedy algorithms are P-complete, including the greedy algorithm for finding a path in a graph. However, a problem is not necessarily difficult if an algorithm to solve it is P-complete. In some cases, the natural sequential algorithm is P-complete but a different technique gives a fast parallel algorithm. This shows that it is necessary to use different techniques for parallel computation than are used for sequential computation. Fast parallel algorithms for a number of simple graph theory problems are given. The algorithms illustrate a number of different techniques that are useful for parallel algorithms. The final topic that we address is parallel approximation of P-complete problems.

A fast parallel algorithm for computing all maximal cliques in a graph and the related problems

Author : Elias Dahlhaus
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (461 download)

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Book Synopsis A fast parallel algorithm for computing all maximal cliques in a graph and the related problems by : Elias Dahlhaus

Download or read book A fast parallel algorithm for computing all maximal cliques in a graph and the related problems written by Elias Dahlhaus and published by . This book was released on 1987 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Guide to Graph Algorithms

Author : K Erciyes
Publisher : Springer
ISBN 13 : 3319732358
Total Pages : 475 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Guide to Graph Algorithms by : K Erciyes

Download or read book Guide to Graph Algorithms written by K Erciyes and published by Springer. This book was released on 2018-04-13 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: This clearly structured textbook/reference presents a detailed and comprehensive review of the fundamental principles of sequential graph algorithms, approaches for NP-hard graph problems, and approximation algorithms and heuristics for such problems. The work also provides a comparative analysis of sequential, parallel and distributed graph algorithms – including algorithms for big data – and an investigation into the conversion principles between the three algorithmic methods. Topics and features: presents a comprehensive analysis of sequential graph algorithms; offers a unifying view by examining the same graph problem from each of the three paradigms of sequential, parallel and distributed algorithms; describes methods for the conversion between sequential, parallel and distributed graph algorithms; surveys methods for the analysis of large graphs and complex network applications; includes full implementation details for the problems presented throughout the text; provides additional supporting material at an accompanying website. This practical guide to the design and analysis of graph algorithms is ideal for advanced and graduate students of computer science, electrical and electronic engineering, and bioinformatics. The material covered will also be of value to any researcher familiar with the basics of discrete mathematics, graph theory and algorithms.

An Introduction to Data Structures and Algorithms

Author : J.A. Storer
Publisher : Springer Science & Business Media
ISBN 13 : 146120075X
Total Pages : 609 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis An Introduction to Data Structures and Algorithms by : J.A. Storer

Download or read book An Introduction to Data Structures and Algorithms written by J.A. Storer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data structures and algorithms are presented at the college level in a highly accessible format that presents material with one-page displays in a way that will appeal to both teachers and students. The thirteen chapters cover: Models of Computation, Lists, Induction and Recursion, Trees, Algorithm Design, Hashing, Heaps, Balanced Trees, Sets Over a Small Universe, Graphs, Strings, Discrete Fourier Transform, Parallel Computation. Key features: Complicated concepts are expressed clearly in a single page with minimal notation and without the "clutter" of the syntax of a particular programming language; algorithms are presented with self-explanatory "pseudo-code." * Chapters 1-4 focus on elementary concepts, the exposition unfolding at a slower pace. Sample exercises with solutions are provided. Sections that may be skipped for an introductory course are starred. Requires only some basic mathematics background and some computer programming experience. * Chapters 5-13 progress at a faster pace. The material is suitable for undergraduates or first-year graduates who need only review Chapters 1 -4. * This book may be used for a one-semester introductory course (based on Chapters 1-4 and portions of the chapters on algorithm design, hashing, and graph algorithms) and for a one-semester advanced course that starts at Chapter 5. A year-long course may be based on the entire book. * Sorting, often perceived as rather technical, is not treated as a separate chapter, but is used in many examples (including bubble sort, merge sort, tree sort, heap sort, quick sort, and several parallel algorithms). Also, lower bounds on sorting by comparisons are included with the presentation of heaps in the context of lower bounds for comparison-based structures. * Chapter 13 on parallel models of computation is something of a mini-book itself, and a good way to end a course. Although it is not clear what parallel

Parallel Algorithms for Maximum Matching and Other Problems on Interval Graphs

Author : Cornell University. Department of Computer Science
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (25 download)

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Book Synopsis Parallel Algorithms for Maximum Matching and Other Problems on Interval Graphs by : Cornell University. Department of Computer Science

Download or read book Parallel Algorithms for Maximum Matching and Other Problems on Interval Graphs written by Cornell University. Department of Computer Science and published by . This book was released on 1988 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we consider parallel algorithms on interval graphs. An interval graph is a graph having a one-to-one correspondence with a sequence of intervals on the real line, such that each vertex maps to an interval in the sequence and an edge exists between two vertices if and only if the corresponding intervals overlap. Throughout the paper we use the CREW PRAM model. Our main result is an $O(\log[superscript]{2} n)$ time, $O(n[superscript]{6}/\log n)$ processor algorithm for maximum matching on interval graphs. We give PT-optimal algorithms for maximum weighted clique, maximum independent set, minimum clique cover, and minimum dominating set for representations of interval graphs; and Hamiltonian circuit for representations of proper interval graphs. We also give an improved algorithm for minimum bandwidth on representations of proper interval graphs. In addition, we present $O (\log n)$ time, $O (n[superscript]{2}/\log n)$ processor algorithms for depth-first search on representations of interval graphs and maximum matching on representations of proper interval graphs.