Download or read book A Linear work Parallel Algorithm for Finding Minimum Spanning Trees written by Princeton University. Dept. of Computer Science and published by . This book was released on 1994 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We give the first linear-work parallel algorithm for finding a minimum spanning tree. It is a randomized algorithm, and requires O(2[superscript log*n]log n) expected time. It is a modification of the sequential linear-time algorithm of Klein and Tarjan."
Download or read book Parallel Implementation of Bor vka s Minimum Spanning Tree Algorithm written by Sun Chung and published by . This book was released on 1996 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We study parallel algorithms for the minimum spanning tree problem, based on the sequential algorithm of Borůvka. The target architectures for our algorithm are asynchronous, distributed-memory machines. Analysis of our parallel algorithm, on a simple model that is reminiscent of the LogP model, shows that in principle a speedup proportional to the number of processors can be achieved, but that communication costs can be significant. To reduce these costs, we develop a new randomized linear work pointer jumping scheme that performs better than previous linear work algorithms. We also consider empirically the effects of data imbalance on the running time. For the graphs used in our experiments, load balancing schemes result in little improvement in running times. Our implementations on sparse graphs with 64,000 vertices on Thinking Machine's CM-5 achieve a speedup factor of about 4 on 16 processors. On this environment, packaging of messages turns out to be the most effective way to reduce communication costs."
Download or read book A parallel algorithm for constructing minimum spanning trees written by Carnegie-Mellon University. Computer Science Dept and published by . This book was released on 1979 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Randomization Approximation and Combinatorial Optimization Algorithms and Techniques written by Dorit Hochbaum and published by Springer. This book was released on 2004-04-22 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM'99, held jointly with the Second International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX'99, in Berkeley, California in August 1999. The volume presents 24 revised full papers selected from 44 submissions and four invited contributions. The papers present a wealth of new results and document the state-of-the-art in the areas covered by the workshop.
Download or read book An Adaptive and Cost optimal Parallel Algorithm for Minimum Spanning Trees written by Selim G. Akl and published by . This book was released on 1984 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Approximation Algorithms and Metaheuristics written by Teofilo F. Gonzalez and published by CRC Press. This book was released on 2007-05-15 with total page 1434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Delineating the tremendous growth in this area, the Handbook of Approximation Algorithms and Metaheuristics covers fundamental, theoretical topics as well as advanced, practical applications. It is the first book to comprehensively study both approximation algorithms and metaheuristics. Starting with basic approaches, the handbook presents the methodologies to design and analyze efficient approximation algorithms for a large class of problems, and to establish inapproximability results for another class of problems. It also discusses local search, neural networks, and metaheuristics, as well as multiobjective problems, sensitivity analysis, and stability. After laying this foundation, the book applies the methodologies to classical problems in combinatorial optimization, computational geometry, and graph problems. In addition, it explores large-scale and emerging applications in networks, bioinformatics, VLSI, game theory, and data analysis. Undoubtedly sparking further developments in the field, this handbook provides the essential techniques to apply approximation algorithms and metaheuristics to a wide range of problems in computer science, operations research, computer engineering, and economics. Armed with this information, researchers can design and analyze efficient algorithms to generate near-optimal solutions for a wide range of computational intractable problems.
Download or read book A Synchronous Parallel Algorithm for the Minimum Spanning Tree Problems written by Tapan K. Mallik and published by . This book was released on 1986 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Boruvka Minimum Spanning Tree Parallel Algorithm with Applications to Satellite Networks written by Colby D. LaRue and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Minimum Spanning Tree (MST) algorithms are used in many fields. This thesis will start by walking through various classical algorithms for finding a minimum spanning tree for a graph and weighing the pros and cons of each algorithm for different types of graphs, such as complete, large, or disconnected graphs. Then, Boruvka’s MST algorithm will be reviewed in greater detail. One of the major issues with most graph algorithms is that they can be slow for large data sets due to the serial nature of classical algorithms, and for many applications, this is acceptable. However, if an application needs to perform this calculation in a matter of seconds, it is not likely to be performant. Consider the use case of a large moving satellite constellation that must continuously find its most optimal network topology. With the rise of ubiquitous computing and the Internet of Things, the efficiency of algorithms is as vital as ever, with applications ranging from agriculture and defense to medical research and finance. Even digital art has applications with the development of new artificial intelligence and machine learning algorithms. This study will focus on a space research application involving prominent moving satellite constellations. There are many techniques to improve existing algorithms. Considering a parallel implementation is often essential when scalability or performance is a concern. Precisely for this study, parallelization of the minimum spanning tree algorithm is considered. After reviewing the techniques used for parallelizing algorithms, a parallel implementation of Boruvka’s algorithm will be written based on the contractive approach. A time complexity analysis of the serial Boruvka algorithm will then be compared to the parallelized version of Boruvka’s algorithm. While graph algorithms for supercomputers, high-performance computers, and GPUs have been studied extensively, few results exist for the emerging multi-core CPU platforms. Our work is addressing one of the fundamental problems in graph theory and applications, the calculation of the MST for a given graph. Multiple algorithms for calculating the MST exist. We are reporting here on our implementation of Boruvka’s MST algorithm that runs either serially on one CPU core, or in parallel on two or more cores. We report the efficiency gains made when applying our implementation of the algorithm to large random graphs, with increasing the number of cores. We then quantify its performance on a real-world graph that represents a large satellite network. An example satellite constellation will be used based on SpaceX’s Starlink commercial constellation. The results will be compared using one instance in time of the constellation. This application of the spanning tree can be easily integrated with a real time simulation framework. This thesis will outline a basic example of how that might be done using the CesiumJS library. The parallelized Boruvka minimum spanning tree implementation was run with various data sets and compared to the classical algorithm implementation. The speedup was on the order of approximately 10% with 8 goroutines.
Download or read book Algorithms ESA 98 written by Gianfranco Bilardi and published by Lecture Notes in Computer Science. This book was released on 1998-07-29 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th Annual European Symposium on Algorithms, ESA'97, held in Venice, Italy, in August 1998. The 40 revised full papers presented together with two invited contributions were carefully reviewed and selected from a total of 131 submissions. The book is divided into sections on data structures, strings and biology, numerical algorithms, geometry, randomized and online algorithms, parallel and distributed algorithms, graph algorithms, and optimization.
Download or read book Parallel Algorithms for the Minimum Spanning Tree Problem written by Narsingh Deo and published by . This book was released on 1981 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algorithms Probability Networks and Games written by Christos Zaroliagis and published by Springer. This book was released on 2015-09-07 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift volume is published in honor of Professor Paul G. Spirakis on the occasion of his 60th birthday. It celebrates his significant contributions to computer science as an eminent, talented, and influential researcher and most visionary thought leader, with a great talent in inspiring and guiding young researchers. The book is a reflection of his main research activities in the fields of algorithms, probability, networks, and games, and contains a biographical sketch as well as essays and research contributions from close collaborators and former PhD students.
Download or read book Handbook of Discrete and Combinatorial Mathematics written by Kenneth H. Rosen and published by CRC Press. This book was released on 2017-10-19 with total page 1612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians. The material is presented so that key information can be located and used quickly and easily. Each chapter includes a glossary. Individual topics are covered in sections and subsections within chapters, each of which is organized into clearly identifiable parts: definitions, facts, and examples. Examples are provided to illustrate some of the key definitions, facts, and algorithms. Some curious and entertaining facts and puzzles are also included. Readers will also find an extensive collection of biographies. This second edition is a major revision. It includes extensive additions and updates. Since the first edition appeared in 1999, many new discoveries have been made and new areas have grown in importance, which are covered in this edition.
Download or read book Simple Parallel Algorithms for the Replacement Edge Problem and Related Problems on Minimum Spanning Trees written by Jyrki Katajainen and published by . This book was released on 1994 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Let G be a connected, undirected, weighted graph with n vertices and m edges. Further, let S be a spanning tree of G and T and a minimum spanning tree of G. We present parallel algorithms for the following problems: (a) Given G and T, determine, for each edge e of T, a non-tree edge f by which e should be replaced to create a new minimum spanning tree if e is removed from G. (b) Given G, determine a most vital edge of G (with respect to minimum spanning trees), that is, an edge whose removal from G has the largest impact on the weight of a minimum spanning tree of the remaining graph. (c) Given G and S, determine whether S is a minimum spanning tree of G. (d) Given G and T, compute, for each edge e of G, by how much the weight of e can change without affecting the minimality of T. The algorithms run in O(log n) time and O(m) space with m processors. The problems (a), (b), and (d) are solved on a MINIMUM CRCW PRAM, whereas the problem (c) is solved on a CREW PRAM. The algorithms utilize a simple technique for computing functions defined on paths in trees that might be of independent interest."
Download or read book High Performance Computing HiPC 2006 written by Yves Robert and published by Springer Science & Business Media. This book was released on 2006-11-27 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Conference on High-Performance Computing, HiPC 2006, held in Bangalore, India in December 2006. The 52 revised full papers presented together with the abstracts of 7 invited talks were carefully reviewed and selected from 335 submissions. The papers are organized in topical sections on scheduling and load balancing, architectures, network and distributed algorithms, application software, network services, applications, ad-hoc networks, systems software, sensor networks and performance evaluation, as well as routing and data management algorithms.
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.
Download or read book Encyclopedia of Parallel Computing written by David Padua and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 2211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing over 300 entries in an A-Z format, the Encyclopedia of Parallel Computing provides easy, intuitive access to relevant information for professionals and researchers seeking access to any aspect within the broad field of parallel computing. Topics for this comprehensive reference were selected, written, and peer-reviewed by an international pool of distinguished researchers in the field. The Encyclopedia is broad in scope, covering machine organization, programming languages, algorithms, and applications. Within each area, concepts, designs, and specific implementations are presented. The highly-structured essays in this work comprise synonyms, a definition and discussion of the topic, bibliographies, and links to related literature. Extensive cross-references to other entries within the Encyclopedia support efficient, user-friendly searchers for immediate access to useful information. Key concepts presented in the Encyclopedia of Parallel Computing include; laws and metrics; specific numerical and non-numerical algorithms; asynchronous algorithms; libraries of subroutines; benchmark suites; applications; sequential consistency and cache coherency; machine classes such as clusters, shared-memory multiprocessors, special-purpose machines and dataflow machines; specific machines such as Cray supercomputers, IBM’s cell processor and Intel’s multicore machines; race detection and auto parallelization; parallel programming languages, synchronization primitives, collective operations, message passing libraries, checkpointing, and operating systems. Topics covered: Speedup, Efficiency, Isoefficiency, Redundancy, Amdahls law, Computer Architecture Concepts, Parallel Machine Designs, Benmarks, Parallel Programming concepts & design, Algorithms, Parallel applications. This authoritative reference will be published in two formats: print and online. The online edition features hyperlinks to cross-references and to additional significant research. Related Subjects: supercomputing, high-performance computing, distributed computing
Download or read book Iterative Methods in Combinatorial Optimization written by Lap Chi Lau and published by Cambridge University Press. This book was released on 2011-04-18 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the advent of approximation algorithms for NP-hard combinatorial optimization problems, several techniques from exact optimization such as the primal-dual method have proven their staying power and versatility. This book describes a simple and powerful method that is iterative in essence and similarly useful in a variety of settings for exact and approximate optimization. The authors highlight the commonality and uses of this method to prove a variety of classical polyhedral results on matchings, trees, matroids and flows. The presentation style is elementary enough to be accessible to anyone with exposure to basic linear algebra and graph theory, making the book suitable for introductory courses in combinatorial optimization at the upper undergraduate and beginning graduate levels. Discussions of advanced applications illustrate their potential for future application in research in approximation algorithms.
