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 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 Parallel Implementation of a Minimum Spanning Tree Algorithm written by Jarim Seo and published by . This book was released on 2020 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building a Minimum Spanning Tree (MST) of a weighted undirected graph is an important step in various applications, including circuit design, and it is desirable to build the MST quickly. However, current well-known approaches for building MSTs are not highly parallel. In this thesis, I propose a new algorithm to build MSTs in parallel. My new algorithm can be divided into two main steps: adding the ‘obvious edges’ of the MST and connecting the components produced by the first step. I parallelized both steps using various atomic operations. Two serial and two parallel MST implementations were used for performance comparisons. Based on the geometric mean over 14 graphs, my MST implementation is faster than the Edge Pruning MST approach but slower than Boost. Moreover, when run in parallel with 16 threads, my code is slower than both Galois and the Problem Based Benchmark Suite implementation.

Download or read book BSP Implementation of Boruvka s Minimum Spanning Tree Algorithm written by Ding Chu and published by . This book was released on 2015 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, a parallel Minimum Spanning Tree algorithm (MST) is implemented under a Bulk Synchronous Parallel (BSP) graph computation platform. Given a graph with positive weights, MST problem is to find a minimum weight set of edges that connects all of the vertices. MST has been an interesting topic of graph theory for a long time and it has many applications: network design, approximation algorithm of Steiner Tree, cluster analysis, etc. There are classic algorithms of finding the MST. When it comes to the big graph, however, these options do not work very well. In the last decade, many efficient frameworks of dealing big data have been proposed: MapReduce, Pregel, etc. Moreover, the BSP graph processing system makes it possible to run the parallel graph algorithms even in a single machine. In this study, a parallel MST algorithm is implemented based on a BSP-like graph processing platform. In the implementation, there are some classic parallel algorithm design issues: leader selection, information synchronization, etc. One concrete example is provided to go through all the algorithm details. A detailed experimental evaluation is also attached which shows the algorithm performance and possible direction for future improvement.

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 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 GPU Computing Gems Jade Edition written by and published by Elsevier. This book was released on 2011-11-02 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: GPU Computing Gems, Jade Edition, offers hands-on, proven techniques for general purpose GPU programming based on the successful application experiences of leading researchers and developers. One of few resources available that distills the best practices of the community of CUDA programmers, this second edition contains 100% new material of interest across industry, including finance, medicine, imaging, engineering, gaming, environmental science, and green computing. It covers new tools and frameworks for productive GPU computing application development and provides immediate benefit to researchers developing improved programming environments for GPUs. Divided into five sections, this book explains how GPU execution is achieved with algorithm implementation techniques and approaches to data structure layout. More specifically, it considers three general requirements: high level of parallelism, coherent memory access by threads within warps, and coherent control flow within warps. Chapters explore topics such as accelerating database searches; how to leverage the Fermi GPU architecture to further accelerate prefix operations; and GPU implementation of hash tables. There are also discussions on the state of GPU computing in interactive physics and artificial intelligence; programming tools and techniques for GPU computing; and the edge and node parallelism approach for computing graph centrality metrics. In addition, the book proposes an alternative approach that balances computation regardless of node degree variance. Software engineers, programmers, hardware engineers, and advanced students will find this book extremely usefull. For useful source codes discussed throughout the book, the editors invite readers to the following website: ..." This second volume of GPU Computing Gems offers 100% new material of interest across industry, including finance, medicine, imaging, engineering, gaming, environmental science, green computing, and more Covers new tools and frameworks for productive GPU computing application development and offers immediate benefit to researchers developing improved programming environments for GPUs Even more hands-on, proven techniques demonstrating how general purpose GPU computing is changing scientific research Distills the best practices of the community of CUDA programmers; each chapter provides insights and ideas as well as 'hands on' skills applicable to a variety of fields

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 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 Computational Science and Its Applications ICCSA 2012 written by Beniamino Murgante and published by Springer. This book was released on 2012-06-16 with total page 795 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four-volume set LNCS 7333-7336 constitutes the refereed proceedings of the 12th International Conference on Computational Science and Its Applications, ICCSA 2012, held in Salvador de Bahia, Brazil, in June 2012. The four volumes contain papers presented in the following workshops: 7333 - advances in high performance algorithms and applications (AHPAA); bioinspired computing and applications (BIOCA); computational geometry and applicatons (CGA); chemistry and materials sciences and technologies (CMST); cities, technologies and planning (CTP); 7334 - econometrics and multidimensional evaluation in the urban environment (EMEUE); geographical analysis, urban modeling, spatial statistics (Geo-An-Mod); 7335 - optimization techniques and applications (OTA); mobile communications (MC); mobile-computing, sensind and actuation for cyber physical systems (MSA4CPS); remote sensing (RS); 7336 - software engineering processes and applications (SEPA); software quality (SQ); security and privacy in computational sciences (SPCS); soft computing and data engineering (SCDE). The topics of the fully refereed papers are structured according to the four major conference themes: 7333 - computational methods, algorithms and scientific application; 7334 - geometric modelling, graphics and visualization; 7335 - information systems and technologies; 7336 - high performance computing and networks.

Download or read book Implementation of Boruvka s Minimum Spanning Tree Algorithm Using NESL written by Alireza M. Farahani and published by . This book was released on 1996 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Transactions on Engineering Technologies written by Gi-Chul Yang and published by Springer Science & Business. This book was released on 2014-04-26 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains revised and extended research articles written by prominent researchers participating in the international conference on Advances in Engineering Technologies and Physical Science (London, U.K., 3-5 July, 2013). Topics covered include mechanical engineering, bioengineering, internet engineering, image engineering, wireless networks, knowledge engineering, manufacturing engineering, and industrial applications. The book offers state of art of tremendous advances in engineering technologies and physical science and applications, and also serves as an excellent reference work for researchers and graduate students working with/on engineering technologies and physical science.

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 Parallel Update of Minimum Spanning Trees in Logarithmic Time written by I. V. Ramakrishnan and published by . This book was released on 1984 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parallel algorithms are presented for updating a minimum spanning tree when the cost of an edge changes or when a new node is inserted in the underlying graph. The machine model used is a parallel random access machine which allows simultaneous reads but prohibits simultaneous writes into the same memory location. The algorithms described in this paper for updating a minimum spanning tree require O(log n) time and O(n square) processors. These algorithms are efficient when compared to previously known algorithms for initial construction of a minimum spanning tree that require O(log n to the base 2) time and use O(n square) processors.

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 A Practical Minimum Spanning Tree Algorithm Using the Cycle Property written by Irit Katriel and published by . This book was released on 2002 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We present a simple new algorithm for computing minimum spanning trees that is more than two times faster than the best previously known algorithms (for dense, 'difficult' inputs). It is of conceptual interest that the algorithm uses the property that the heaviest edge in a cycle can be discarded. Previously this has only been exploited in asymptotically optimal algorithms that are considered to be impractical. An additional advantage is that the algorithm can greatly profit from pipelined memory access. Hence, an implementation on a vector machine is up to 13 times faster than previous algorithms. We outline additional refinements for MSTs of implicitly defined graphs and the use of the central data structure for querying the heaviest edge between two nodes in the MST. The latter result is also interesting for sparse graphs."

Download or read book Communication Optimal Parallel Minimum Spanning Tree Algorithms written by and published by . This book was released on 1998 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: