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 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 Parallel Algorithms for the Most Vital Edge Problem with Respect to a Minimum Spanning Tree of a Graph written by Francis Suraweera and published by . This book was released on 1995 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Parallel and Distributed Processing written by Jose Rolim and published by Springer Science & Business Media. This book was released on 1998-03-18 with total page 1194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of 10 international workshops held in conjunction with the merged 1998 IPPS/SPDP symposia, held in Orlando, Florida, US in March/April 1998. The volume comprises 118 revised full papers presenting cutting-edge research or work in progress. In accordance with the workshops covered, the papers are organized in topical sections on reconfigurable architectures, run-time systems for parallel programming, biologically inspired solutions to parallel processing problems, randomized parallel computing, solving combinatorial optimization problems in parallel, PC based networks of workstations, fault-tolerant parallel and distributed systems, formal methods for parallel programming, embedded HPC systems and applications, and parallel and distributed real-time systems.
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 Spanning Trees and Optimization Problems written by Bang Ye Wu and published by CRC Press. This book was released on 2004-01-27 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: The design of approximation algorithms for spanning tree problems has become an exciting and important area of theoretical computer science and also plays a significant role in emerging fields such as biological sequence alignments and evolutionary tree construction. While work in this field remains quite active, the time has come to collect under one cover spanning tree properties, classical results, and recent research developments. Spanning Trees and Optimization Problems offers the first complete treatment of spanning tree algorithms, from their role in classical computer science to their most modern applications. The authors first explain the general properties of spanning trees, then focus on three main categories: minimum spanning trees, shortest-paths trees, and minimum routing cost spanning trees. Along with the theoretical descriptions of the methods, numerous examples and applications illustrate the concepts in practice. The final chapter explores several other interesting spanning trees, including maximum leaf spanning trees, minimum diameter spanning trees, Steiner trees, and evolutionary trees. With logical organization, well chosen topics, and easy to understand pseudocode, the authors provide not only a full, rigorous treatment of theory and applications, but also an excellent handbook for spanning tree algorithms. This book will be a welcome addition to your reference shelf whether your interests lie in graph and approximation algorithms for theoretical work or you use graph techniques to solve practical problems
Download or read book Parallel and Distributed Processing written by and published by . This book was released on 1998 with total page 1196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Parallel Algorithms for Irregular Problems State of the Art written by Alfonso Ferreira and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Efficient parallel solutions have been found to many problems. Some of them can be obtained automatically from sequential programs, using compilers. However, there is a large class of problems - irregular problems - that lack efficient solutions. IRREGULAR 94 - a workshop and summer school organized in Geneva - addressed the problems associated with the derivation of efficient solutions to irregular problems. This book, which is based on the workshop, draws on the contributions of outstanding scientists to present the state of the art in irregular problems, covering aspects ranging from scientific computing, discrete optimization, and automatic extraction of parallelism. Audience: This first book on parallel algorithms for irregular problems is of interest to advanced graduate students and researchers in parallel computer science.
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 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 Parallel Problem Solving from Nature PPSN VIII written by Xin Yao and published by Springer Science & Business Media. This book was released on 2004-09-13 with total page 1204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 8th International Conference on Parallel Problem Solving from Nature, PPSN 2004, held in Birmingham, UK, in September 2004. The 119 revised full papers presented were carefully reviewed and selected from 358 submissions. The papers address all current issues in biologically inspired computing; they are organized in topical sections on theoretical and foundational issues, new algorithms, applications, multi-objective optimization, co-evolution, robotics and multi-agent systems, and learning classifier systems and data mining.
Download or read book Mathematical Reviews written by and published by . This book was released on 2003 with total page 1448 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 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 Algorithms for the Minimun Spanning Tree Problem written by Narsingh Deo and published by . This book was released on 1981 with total page 40 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.
