Download or read book Parallel Algorithms for Computing Maximal Independent Sets in Trees and for Updating Minimum Spanning Trees written by Hermann Jung and published by . This book was released on 1987 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algorithms on Trees and Graphs written by Gabriel Valiente and published by Springer Nature. This book was released on 2021-10-11 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph algorithms is a well-established subject in mathematics and computer science. Beyond classical application fields, such as approximation, combinatorial optimization, graphics, and operations research, graph algorithms have recently attracted increased attention from computational molecular biology and computational chemistry. Centered around the fundamental issue of graph isomorphism, this text goes beyond classical graph problems of shortest paths, spanning trees, flows in networks, and matchings in bipartite graphs. Advanced algorithmic results and techniques of practical relevance are presented in a coherent and consolidated way. This book introduces graph algorithms on an intuitive basis followed by a detailed exposition in a literate programming style, with correctness proofs as well as worst-case analyses. Furthermore, full C++ implementations of all algorithms presented are given using the LEDA library of efficient data structures and algorithms.
Download or read book Parallel Algorithms written by Pranay Chaudhuri and published by . This book was released on 1992 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Parallelism.
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 Algorithms written by Tetsuo Asano and published by Springer Science & Business Media. This book was released on 1990-08-02 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the proceedings of the SIGAL International Symposium on Algorithms held at CSK Information Education Center, Tokyo, Japan, August 16-18, 1990. SIGAL (Special Interest Group on Algorithms) was organized within the Information Processing Society of Japan in 1988 to encourage research in the field of discrete algorithms, and held 6-8 research meetings each year. This symposium is the first international symposium organized by SIGAL. In response to the call for papers, 88 papers were submitted from around the world. The program committee selected 34 for presentation at the symposium. The symposium also included 5 invited lectures and 10 invited presentations. The subjects of the papers range widely in the field of discrete algorithms in theoretical computer science. Keywords for these subjects are: computational geometry, graph algorithms, complexity theory, parallel algorithms, distributed computing, and computational algebra.
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 Graph Theoretic Concepts in Computer Science written by Rolf H. Möhring and published by Springer Science & Business Media. This book was released on 1991-04-24 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gives the proceedings of WG '90, the 16th in a series of workshops. The aim of the workshop series is to contribute to integration in computer science by applying graph-theoretic concepts. The workshops are unusual in that they combine theoretical aspects with practice and applications. The volume is organized into sections on: - Graph algorithms and complexity, - VLSI layout, - Multiprocessor systems and concurrency, - Computational geometry, - Graphs, languages and databases, - Graph grammars. The volume contains revised versions of nearly all the papers presented at the workshop. Several papers take the form of preliminary reports on ongoing research.
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 Computing Minimum Spanning Trees on a Fat tree Architecture written by Bruce MacDowell Maggs and published by . This book was released on 1985 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents two parallel algorithms for computing the minimum spanning forest of an input graph on a fat-tree architecture. One algorithms if deterministic, and the other probabilistic. The deterministic algorithm generates O(cv log/V/) message sets, each of which can be delivered in O(beta (G) delivery cycles. The probabilistic algorithm generates O(sq log/V/) message sets, each of which can be delivered in O(beta(G)) delivery cycles. (Author).
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 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 Proceedings of the Sixteenth Annual ACM Symposium on Theory of Computing Washington D C April 30 May 2 1984 written by and published by . This book was released on 1984 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 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 Optimal Parallel and Sequential Algorithms for the Vertex Updating Problem of a Minimum Spanning Tree written by Donald B. Johnson and published by . This book was released on 1991 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Efficient Parallel Algorithms for Delta 1 coloring and Maximal Independent Set Problems written by Andrew V. Goldberg and published by . This book was released on 1987 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: We described an efficient technique for breaking symmetry in parallel. The technique works especially well on rooted trees and on graphs with a small maximum degree. In particular, we can find a maximal independent set on a constant-degree graph in O(lg*n) time on an EREW PRAM using a linear number of processors. We show how to apply this technique to construct more efficient parallel algorithms for several problems, including coloring of planar graphs and (delta + 1)-coloring of constant-degree graphs. We also prove lower bounds for two related problems. (Author).
