Download or read book Efficient Parallel Algorithms for Planar Chordal and Interval Graphs written by P. N. Klein and published by . This book was released on 1988 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Simple Efficient Parallel Algorithms to Recognize Chordal Graphs as Interval Graphs written by Elias Dahlhaus and published by . This book was released on 1993 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Efficient Parallel Algorithms for Planar St graphs written by Mikhail J. Atallah and published by . This book was released on 1998 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Introduction to Parallel Algorithms written by C. Xavier and published by John Wiley & Sons. This book was released on 1998-08-05 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parallel algorithms Made Easy The complexity of today's applications coupled with the widespread use of parallel computing has made the design and analysis of parallel algorithms topics of growing interest. This volume fills a need in the field for an introductory treatment of parallel algorithms-appropriate even at the undergraduate level, where no other textbooks on the subject exist. It features a systematic approach to the latest design techniques, providing analysis and implementation details for each parallel algorithm described in the book. Introduction to Parallel Algorithms covers foundations of parallel computing; parallel algorithms for trees and graphs; parallel algorithms for sorting, searching, and merging; and numerical algorithms. This remarkable book: * Presents basic concepts in clear and simple terms * Incorporates numerous examples to enhance students' understanding * Shows how to develop parallel algorithms for all classical problems in computer science, mathematics, and engineering * Employs extensive illustrations of new design techniques * Discusses parallel algorithms in the context of PRAM model * Includes end-of-chapter exercises and detailed references on parallel computing. This book enables universities to offer parallel algorithm courses at the senior undergraduate level in computer science and engineering. It is also an invaluable text/reference for graduate students, scientists, and engineers in computer science, mathematics, and engineering.

Download or read book Efficient Parallel Algorithms on Chordal Graphs with a Sparse Tree Representation written by Elias Dahlhaus and published by . This book was released on 1993 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Chordal graphs are nothing else than intersection graphs of subtrees of a tree. We present nearly optimal algorithms for certain graph problems if the input graph is given by a collection of subtrees of a tree and the subtrees are given by their leaves. This generalizes results of Olariu, Schwing, and Zhang [12] concerning the parallel complexity of problems on interval graphs provided the interval structure is given."

Download or read book Parallel Algorithms for Planar Graph Isomorphism and Related Problems written by Joseph Já Já and published by . This book was released on 1987 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Efficient Parallel Algorithms for Path Problems in Planar Directed Graphs written by Andrzej Lingas and published by . This book was released on 1990 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Efficient Parallel Algorithms for Planar DAGs written by Stephen Guattery and published by . This book was released on 1995 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We show that testing reachability in a planar DAG can be performed in parallel in O(log n log* n) time (O(log n) time using randomization) using O(n) processors. In general we give a paradigm for reducing a planar DAG to a constant size and then expanding it back. This paradigm is developed from a property of planar directed graphs we refer to as the Poincaré index formula. Using this new paradigm we then 'overlay' our application in a fashion similar to parallel tree contraction [MR85, MR89]. We also discuss some of the changes needed to extend the reduction procedure to work for general planar digraphs. Using the strongly- connected components algorithm of Kao [Kao93] we can compute multiple- source reachability for general planar digraphs in O(log3 n) time using O(n) processors. This improves the results of Kao and Klein [KK90] who showed that this problem could be performed in O(log5 n) time using O(n) processors. This work represents initial results of an effort to apply similar techniques to arbitrary planar directed graphs, and to develop efficient algorithms for certain problems encountered in parallel compilation."

Download or read book Efficient parallel algorithms for two graph layout problems written by Xin He and published by . This book was released on 1991 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We present efficient parallel algorithms for solving two graph layout problems: Find a Fáry Embedding on a grid and construct a rectangular dual for planar graphs. The algorithm for the first problem takes O(log n log[superscript *] n) time with O(n) processors on a PRAM. The algorithm for the second problem takes O(log2n) time with O(n) processors."

Download or read book Efficient Parallel Algorithms for Planar DAGs written by Stephen Guattery and published by . This book was released on 1995 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We show that testing reachability in a planar DAG can be performed in parallel in O(log n log* n) time (O(log n) time using randomization) using O(n) processors. In general we give a paradigm for reducing a planar DAG to a constant size and then expanding it back. This paradigm is developed from a property of planar directed graphs we refer to as the Poincaré index formula. Using this new paradigm we then 'overlay' our application in a fashion similar to parallel tree contraction [MR85, MR89]. We also discuss some of the changes needed to extend the reduction procedure to work for general planar digraphs. Using the strongly- connected components algorithm of Kao [Kao93] we can compute multiple- source reachability for general planar digraphs in O(log3 n) time using O(n) processors. This improves the results of Kao and Klein [KK90] who showed that this problem could be performed in O(log5 n) time using O(n) processors. This work represents initial results of an effort to apply similar techniques to arbitrary planar directed graphs, and to develop efficient algorithms for certain problems encountered in parallel compilation."

Download or read book Extending Planar Graph Algorithms to K subscript 3 3 free Graphs written by Cornell University. Dept. of Computer Science and published by . This book was released on 1988 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: For several problems, restricting attention to special classes of graphs has yielded better algorithms. In particular, restricting to planar graphs yields efficient parallel algorithms for several graph problems. In this paper we extend these algorithms to $K_{3}$,$_{3}$-free graphs, showing that the restriction of planarity is not important. The three problems dealt with are: graph coloring, depth first search and maximal independent sets. As a corollary we show that $K_{3}$,$_{3}$-free graphs are five colorable (this bound is tight).

Download or read book Graph Theoretic Concepts in Computer Science written by Ulrik Brandes and published by Springer. This book was released on 2003-07-31 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 26th International Workshop on Graph-Theoretic Concepts in Computer Science (WG 2000) was held at Waldhaus Jakob, in Konstanz, Germany, on 15{ 17 June 2000. It was organized by the Algorithms and Data Structures Group of the Department of Computer and Information Science, University of K- stanz, and sponsored by Deutsche Forschungsgemeinschaft (DFG) and Univ- sit ̈atsgesellschaft Konstanz. The workshop aims at uniting theory and practice by demonstrating how graph-theoretic concepts can be applied to various areas in computer science, or by extracting new problems from applications. The goal is to present recent research results and to identify and explore directions for future research. The workshop looks back on a remarkable tradition of more than a quarter of a century. Previous Workshops have been organized in various places in Europe, and submissions come from all over the world. This year, 57 attendees from 13 di erent countries gathered in the relaxing atmosphere of Lake Constance, also known as the Bodensee. Out of 51 submis- ons, the program committee carefully selected 26 papers for presentation at the workshop. This selection re?ects current research directions, among them graph and network algorithms and their complexity, algorithms for special graph cl- ses, communication networks, and distributed algorithms. The present volume contains these papers together with the survey presented in an invited lecture by Ingo Wegener (University of Dortmund) and an extended abstract of the invited lecture given by Emo Welzl (ETH Zuric ̈ h).

Download or read book Fundamentals of Sensor Network Programming written by S. Sitharama Iyengar and published by John Wiley & Sons. This book was released on 2011-03-29 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the basics needed to develop sensor network software and supplements it with many case studies covering network applications. It also examines how to develop onboard applications on individual sensors, how to interconnect these sensors, and how to form networks of sensors, although the major aim of this book is to provide foundational principles of developing sensor networking software and critically examine sensor network applications.

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).

Download or read book SIAM Journal on Computing written by Society for Industrial and Applied Mathematics and published by . This book was released on 1996 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Topics in Algorithmic Graph Theory written by Lowell W. Beineke and published by Cambridge University Press. This book was released on 2021-06-03 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithmic graph theory has been expanding at an extremely rapid rate since the middle of the twentieth century, in parallel with the growth of computer science and the accompanying utilization of computers, where efficient algorithms have been a prime goal. This book presents material on developments on graph algorithms and related concepts that will be of value to both mathematicians and computer scientists, at a level suitable for graduate students, researchers and instructors. The fifteen expository chapters, written by acknowledged international experts on their subjects, focus on the application of algorithms to solve particular problems. All chapters were carefully edited to enhance readability and standardize the chapter structure as well as the terminology and notation. The editors provide basic background material in graph theory, and a chapter written by the book's Academic Consultant, Martin Charles Golumbic (University of Haifa, Israel), provides background material on algorithms as connected with graph theory.

Download or read book Broadcast Domination Algorithms for Interval Graphs Series parallel Graphs and Trees written by Jean R. S. Blair and published by . This book was released on 2003 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: