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Parallel Algorithms For Series Parallel Graphs


Parallel Algorithms For Series Parallel Graphs
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Parallel Algorithms For Series Parallel Graphs


Parallel Algorithms For Series Parallel Graphs
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Author : Hans Leo Bodlaender
language : en
Publisher:
Release Date : 1996

Parallel Algorithms For Series Parallel Graphs written by Hans Leo Bodlaender and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Computer algorithms categories.


Abstract: "In this paper, a parallel algorithm is given that, given a graph G = (V, E), decides whether G is a series parallel graph, and if so, builds a decomposition tree for G of series and parallel composition rules. The algorithm uses O(log[absolute value of E]log*[absolute value of E]) time and O([absolute value of E]) operations on an EREW PRAM, and O(log [absolute value of E]) time and O([absolute value of E]) operations on a CRCW PRAM (note that if G is a simple series parallel graph, then [absolute value of E] = O([absolute value of V]). With the same time and processor resources, a tree-decomposition of width at most two can be built of a given series parallel graph, and hence, very efficient parallel algorithms can be found for a large number of graph problems on series parallel graphs, including many well known problems, e.g., all problems that can be stated in monadic second order logic. The results hold for undirected series parallel graphs graphs [sic], as well as for directed series parallel graphs."



Efficient Parallel Algorithms For Series Parallel Graphs


Efficient Parallel Algorithms For Series Parallel Graphs
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Author : State University of New York at Buffalo. Dept. of Computer Science
language : en
Publisher:
Release Date : 1988

Efficient Parallel Algorithms For Series Parallel Graphs written by State University of New York at Buffalo. Dept. of Computer Science and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Algorithms categories.




Efficient Parallel Algorithms


Efficient Parallel Algorithms
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Author : Alan Gibbons
language : en
Publisher: Cambridge University Press
Release Date : 1989-11-24

Efficient Parallel Algorithms written by Alan Gibbons and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-11-24 with Computers categories.


Mathematics of Computing -- Parallelism.



Introduction To Parallel Algorithms


Introduction To Parallel Algorithms
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Author : C. Xavier
language : en
Publisher: John Wiley & Sons
Release Date : 1998-08-05

Introduction To Parallel Algorithms written by C. Xavier and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-08-05 with Computers categories.


Parallel algorithms Made Easy The complexity of today's applications coupled with the widespread use of parallel computing has made the design and analysis of parallel algorithms topics of growing interest. This volume fills a need in the field for an introductory treatment of parallel algorithms-appropriate even at the undergraduate level, where no other textbooks on the subject exist. It features a systematic approach to the latest design techniques, providing analysis and implementation details for each parallel algorithm described in the book. Introduction to Parallel Algorithms covers foundations of parallel computing; parallel algorithms for trees and graphs; parallel algorithms for sorting, searching, and merging; and numerical algorithms. This remarkable book: * Presents basic concepts in clear and simple terms * Incorporates numerous examples to enhance students' understanding * Shows how to develop parallel algorithms for all classical problems in computer science, mathematics, and engineering * Employs extensive illustrations of new design techniques * Discusses parallel algorithms in the context of PRAM model * Includes end-of-chapter exercises and detailed references on parallel computing. This book enables universities to offer parallel algorithm courses at the senior undergraduate level in computer science and engineering. It is also an invaluable text/reference for graduate students, scientists, and engineers in computer science, mathematics, and engineering.



Fast Parallel Algorithms For Graph Matching Problems


Fast Parallel Algorithms For Graph Matching Problems
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Author : Marek Karpiński
language : en
Publisher: Oxford University Press
Release Date : 1998

Fast Parallel Algorithms For Graph Matching Problems written by Marek Karpiński and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Computers categories.


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.



Efficient Parallel Algorithms For Some Np Complete Problems On Series Parallel Graphs


Efficient Parallel Algorithms For Some Np Complete Problems On Series Parallel Graphs
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Author : Arobinda Gupta
language : en
Publisher:
Release Date : 1992

Efficient Parallel Algorithms For Some Np Complete Problems On Series Parallel Graphs written by Arobinda Gupta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Computer algorithms categories.




Parallel Algorithms


Parallel Algorithms
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Author : M H Alsuwaiyel
language : en
Publisher: World Scientific
Release Date : 2022-05-30

Parallel Algorithms written by M H Alsuwaiyel and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-30 with Computers categories.


This book is an introduction to the field of parallel algorithms and the underpinning techniques to realize the parallelization. The emphasis is on designing algorithms within the timeless and abstracted context of a high-level programming language. The focus of the presentation is on practical applications of the algorithm design using different models of parallel computation. Each model is illustrated by providing an adequate number of algorithms to solve some problems that quite often arise in many applications in science and engineering.The book is largely self-contained, presuming no special knowledge of parallel computers or particular mathematics. In addition, the solutions to all exercises are included at the end of each chapter.The book is intended as a text in the field of the design and analysis of parallel algorithms. It includes adequate material for a course in parallel algorithms at both undergraduate and graduate levels.



Paradigms For Fast Parallel Approximability


Paradigms For Fast Parallel Approximability
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Author : Josep Díaz
language : en
Publisher: Cambridge University Press
Release Date : 1997-07-10

Paradigms For Fast Parallel Approximability written by Josep Díaz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-10 with Computers categories.


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.



A New Algorithm For The Recognition Of Series Parallel Graphs


A New Algorithm For The Recognition Of Series Parallel Graphs
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Author : L. A. M. Schoenmakers
language : en
Publisher:
Release Date : 1995

A New Algorithm For The Recognition Of Series Parallel Graphs written by L. A. M. Schoenmakers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Computer algorithms categories.


Abstract: "In this paper we develop a new linear-time algorithm for the recognition of series parallel graphs. The algorithm is based on a succinct representation of series parallel graphs for which the presence of an arc can be tested in constant time; space utilization is linear in the number of vertices. We show how to compute such a representation in linear time from a breadth-first spanning tree. Furthermore, we present a precise condition for the existence of such succinct representations in general, which is, for instance, satisfied by planar graphs."



Parallel Processing And Parallel Algorithms


Parallel Processing And Parallel Algorithms
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Author : Seyed H Roosta
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Parallel Processing And Parallel Algorithms written by Seyed H Roosta and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.


Motivation It is now possible to build powerful single-processor and multiprocessor systems and use them efficiently for data processing, which has seen an explosive ex pansion in many areas of computer science and engineering. One approach to meeting the performance requirements of the applications has been to utilize the most powerful single-processor system that is available. When such a system does not provide the performance requirements, pipelined and parallel process ing structures can be employed. The concept of parallel processing is a depar ture from sequential processing. In sequential computation one processor is in volved and performs one operation at a time. On the other hand, in parallel computation several processors cooperate to solve a problem, which reduces computing time because several operations can be carried out simultaneously. Using several processors that work together on a given computation illustrates a new paradigm in computer problem solving which is completely different from sequential processing. From the practical point of view, this provides sufficient justification to investigate the concept of parallel processing and related issues, such as parallel algorithms. Parallel processing involves utilizing several factors, such as parallel architectures, parallel algorithms, parallel programming lan guages and performance analysis, which are strongly interrelated. In general, four steps are involved in performing a computational problem in parallel. The first step is to understand the nature of computations in the specific application domain.