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:
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.
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.
Download or read book Distributed Graph Coloring written by Leonid Barenboim and published by Morgan & Claypool Publishers. This book was released on 2013-07-01 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of our monograph is to cover the developments on the theoretical foundations of distributed symmetry breaking in the message-passing model. We hope that our monograph will stimulate further progress in this exciting area.
Download or read book Graph Partitioning written by Charles-Edmond Bichot and published by John Wiley & Sons. This book was released on 2013-01-24 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph partitioning is a theoretical subject with applications in many areas, principally: numerical analysis, programs mapping onto parallel architectures, image segmentation, VLSI design. During the last 40 years, the literature has strongly increased and big improvements have been made. This book brings together the knowledge accumulated during many years to extract both theoretical foundations of graph partitioning and its main applications.
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.
Download or read book Efficient Parallel Algorithms for Graph Coloring and Partitioning Problems written by Harvard University. Center for Research in Computing Technology and published by . This book was released on 1985 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Randomized Parallel Algorithms for Some Graph theoretic Problems written by Sung-Bong Yang and published by . This book was released on 1992 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings of the Southeastern Conference on Combinatorics Graph Theory and Computing written by and published by . This book was released on 1986 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algorithm Engineering written by Lasse Kliemann and published by Springer. This book was released on 2016-11-10 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithm Engineering is a methodology for algorithmic research that combines theory with implementation and experimentation in order to obtain better algorithms with high practical impact. Traditionally, the study of algorithms was dominated by mathematical (worst-case) analysis. In Algorithm Engineering, algorithms are also implemented and experiments conducted in a systematic way, sometimes resembling the experimentation processes known from fields such as biology, chemistry, or physics. This helps in counteracting an otherwise growing gap between theory and practice.
Download or read book Graph Partitioning and Its Applications to Scientific Computing written by George Karypis and published by . This book was released on 1996 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Parallel Algorithms for Graph Theoretic Problems written by Carla Diane Savage and published by . This book was released on 1977 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: The existence of parallel computers has motivated the development of parallel problems solving techniques for many problems. Techniques are studied for solving graph problems on an unbounded parallel model of computation. It is shown that solutions to graph problems can be organized to reveal a large amount of parallelism, which can be exploited to substantially reduce the computation time. Precisely, for an appropriate measure of time complexity, algorithms of time complexity 0 log-squared n are developed to solve each of the following problems for graphs with n vertices: finding minimum spanning trees, biconnected components, dominators, bridges, cycles, cycle bases, and shortest cycles. The number of processors needed to execute each algorithm is bounded above by a polynomial function of n. It is shown that 2 log n + c is a lower bound on the time required to solve each of these graph problems. Thus, the algorithms obtained have time complexities which are optimal to within a factor of log n.
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:
Download or read book Parallel Graph Algorithms written by David A. Bader and published by Chapman and Hall/CRC. This book was released on 2015-03-15 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theoretic problems are representative of fundamental kernels in traditional and emerging scientific applications, such as complex network analysis, data mining, and computational biology, as well as applications in national security. Graph abstractions are also extensively used to understand and solve challenging problems in scientific computing. Real-world systems, such as the Internet, telephone networks, social interactions, and transportation networks, are analyzed by modeling them as graphs. To efficiently solve large-scale graph problems, it is necessary to design high performance computing systems and novel parallel algorithms. In this book, some of the world’s most renowned experts explore the latest research and applications in this important area
Download or read book Graph Partitioning and Graph Clustering written by David A. Bader and published by American Mathematical Soc.. This book was released on 2013-03-18 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph partitioning and graph clustering are ubiquitous subtasks in many applications where graphs play an important role. Generally speaking, both techniques aim at the identification of vertex subsets with many internal and few external edges. To name only a few, problems addressed by graph partitioning and graph clustering algorithms are: What are the communities within an (online) social network? How do I speed up a numerical simulation by mapping it efficiently onto a parallel computer? How must components be organized on a computer chip such that they can communicate efficiently with each other? What are the segments of a digital image? Which functions are certain genes (most likely) responsible for? The 10th DIMACS Implementation Challenge Workshop was devoted to determining realistic performance of algorithms where worst case analysis is overly pessimistic and probabilistic models are too unrealistic. Articles in the volume describe and analyze various experimental data with the goal of getting insight into realistic algorithm performance in situations where analysis fails.
Download or read book Congressus Numerantium written by and published by . This book was released on 1970 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
