Download or read book An Algebraic Theory for Modeling Multistage Interconnection Networks written by S. D. Kaushik and published by . This book was released on 1992 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "An algebraic theory based on tensor products for modeling multistage interconnection networks is presented. This algebraic theory is suitable for mapping numerical algorithms on various network- based architectures. The tensor product representations of the baseline network, the reverse baseline network, the indirect binary n-cube network, the generalized cube network, the flip network and the omega network are described. Properties of multistage interconnection networks, such as network partitioning, topological equivalence, and functional equivalence are specified and verified. A mapping of the matrix transposition algorithm on a specific network using the tensor product notation is presented."
Download or read book An Algebraic Theory for Modeling Direct Interconnection Networks written by S. D. Kaushik and published by . This book was released on 1992 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We present an algebraic theory based on tensor products for modeling direct interconnection networks. The algebraic theory has been used for designing and implementing block recursive numerical algorithms on shared-memory and/or vector multiprocessors. We will use this theory for mapping algorithms onto distributed-memory architectures. In this paper, we focus on direct interconnection networks. Topologies of rings, n-dimensional meshes, and hypercubes are represented in tensor product form. We demonstrate the use of this theory by mapping matrix transposition and matrix multiplication onto different networks. This theory also provides a formal method of specifying and verifying network embedding."
Download or read book Proceedings of the International Conference on Parallel and Distributed Information Systems written by and published by . This book was released on 1992 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Games of No Chance written by Richard J. Nowakowski and published by Cambridge University Press. This book was released on 1998-11-13 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is Nine-Men Morris, in the hands of perfect players, a win for white or for black - or a draw? Can king, rook, and knight always defeat king and two knights in chess? What can Go players learn from economists? What are nimbers, tinies, switches and minies? This book deals with combinatorial games, that is, games not involving chance or hidden information. Their study is at once old and young: though some games, such as chess, have been analyzed for centuries, the first full analysis of a nontrivial combinatorial game (Nim) only appeared in 1902. The first part of this book will be accessible to anyone, regardless of background: it contains introductory expositions, reports of unusual tournaments, and a fascinating article by John H. Conway on the possibly everlasting contest between an angel and a devil. For those who want to delve more deeply, the book also contains combinatorial studies of chess and Go; reports on computer advances such as the solution of Nine-Men Morris and Pentominoes; and theoretical approaches to such problems as games with many players. If you have read and enjoyed Martin Gardner, or if you like to learn and analyze new games, this book is for you.
Download or read book Proceedings ICPADS 92 written by and published by . This book was released on 1992 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Journal of Information Science and Engineering written by and published by . This book was released on 1996 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Languages and Compilers for Parallel Computing written by Utpal Banerjee and published by Springer Science & Business Media. This book was released on 1994-01-28 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains papers selected for presentation at the Sixth Annual Workshop on Languages and Compilers for Parallel Computing. The workshop washosted by the Oregon Graduate Institute of Science and Technology. All the major research efforts in parallel languages and compilers are represented in this workshop series. The 36 papers in the volume aregrouped under nine headings: dynamic data structures, parallel languages, High Performance Fortran, loop transformation, logic and dataflow language implementations, fine grain parallelism, scalar analysis, parallelizing compilers, and analysis of parallel programs. The book represents a valuable snapshot of the state of research in the field in 1993.
Download or read book Mathematical Theory of Multistage Interconnection Networks Analysis written by Zhi-xi Fang and published by . This book was released on 1984 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Network Algebra written by Gheorghe Stefanescu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Network algebra considers the algebraic study of networks and their behavior. It approaches the models in a sharp and simple manner. This book takes an integrated view of a broad range of applications, varying from concrete hardware-oriented models to high-level software-oriented models.
Download or read book Multistage Interconnection Network Design for Engineers written by Shilpa Gupta and published by Bentham Science Publishers. This book was released on 2023-12-14 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a quick and easy understanding of multistage interconnection networks (MINs) for engineers. The book contents focus on the design, performance metrics, and evaluation of these networks which are crucial in modern computer architecture. The contents equip engineering students, apprentices and professionals with in-depth knowledge and analysis of MINS, enabling them to build complex computer architectures for efficient data communications and cost effective solutions for circuit design. The book starts with an introduction to MINS and subsequently progresses to the evaluation of a range of MINS (SEN, Gamma-Minus, FTSN, FTGN, SEGIN). Key highlights of the book include: · Easy to understand notes on design, reliability and fault tolerance · Covers a wide range of MIN types with notes on design variants · Supplementary information aiding comprehension of the main content. · A curated list of references for further exploration and deeper understanding.
Download or read book Co governed Sovereignty Network written by Hui Li and published by Springer Nature. This book was released on 2021 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book introduces MIN, a novel networking architecture to implement the sovereign equality of all countries in the cyberspace. Combining legal theory and network technology, it first discusses the historical development of sovereignty and expounds the legal basis of cyberspace sovereignty. Then, based on the high-performance blockchain, it describes a new network architecture designed to implement co-governance at the technical level. Explaining network sovereignty and including rich illustrations and tables, the book helps readers new to the field grasp the evolution and necessity of cyberspace sovereignty, gain insights into network trends and develop a preliminary understanding of complex network technologies such as blockchain, security mechanisms and routing strategies. The MIN network implements the our principles of cyberspace adopted by most nations and people: respecting cyber sovereignty; maintaining peace and protection; promoting openness and cooperation; and building good order to provide network system security. There maybe three scales of application scenario for MIN, the big one is for UN of Cyberspace, the middle one is for Smart city, the small one is for enterprise group or organizations as private network, MIN-VPN. We have developed the product of MIN-VPN, you could find its message on the preface if care about the security of your network.
Download or read book Petri Nets and Other Models of Concurrency ICATPN 2007 written by Jetty Kleijn and published by Springer. This book was released on 2007-07-05 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 28th International Conference on Applications and Theory of Petri Nets and Other Models of Concurrency, ICATPN 2007, held in Siedlce, Poland. It covers all current issues on research and development in the area of Petri nets and modeling of concurrent systems including system design and verification, structure and behavior of nets, logical and algebraic calculi, and standardization of nets.
Download or read book Proceedings written by and published by . This book was released on 1994 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Parallel and Distributed Systems 1994 International Conference On written by Lionel M. Ni and published by . This book was released on 1994 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: The complete proceedings of the December 1994 conference, containing some 120 papers, addresses, and sessions on topics such as teraflop computing, architecture-independent parallel programming, parallel algorithms, FDDI/ATM networks, load balancing, distributed mutual exclusion, interconnection net
Download or read book Algebraic Models of Constant Node Degree Interconnection Networks written by Khadidja Bendjilali and published by . This book was released on 2011 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Binary representation has been widely used to model many common interconnection networks such as the Butterflies (BF), Cube Connected Cycles (CCC), Shuffle Exchange (SE), Hypercubes and deBruijn (DB) networks. However, binary models are difficult to analyze and complex to use, except for a few select ones such as the Hypercubes. In this research we exploit new algebraic representations for BF, CCC, SE and DB networks. While algebraic models for BF and DB are available in the literature, this dissertation provides algebraic models for CCC and SE for the first time. The simplicity of the models and access to powerful algebraic techniques allows us to explore the structural properties of these networks. In particular, we have found all the automorphisms of BF and CCC networks and the effect of these automorphisms on graph edges. This has allowed us to provide strategies to map algorithms on networks with faulty edges, which is an important problem in parallel processing. We illustrate our methods by mapping Hamilton cycle on the butterfly under various edge fault scenarios. This dissertation also exploits the algebraic machinery to find paths in SE and optimal paths in the CCC networks.
Download or read book Generating Systems of Equations for Performance Evaluation of Multistage Interconnection Networks written by Dietmar Tutsch and published by . This book was released on 2000 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Multistage interconnection networks (Banyan networks) are frequently proposed as connections in multiprocessor systems, in ATM switches or in Gigabit Ethernet switches. There exist several analytical models describing the performance of such networks. Using analytical models the performance can be determined much faster than by simulation. On the other hand, the development of an analytical model is very time-consuming. In this paper, we present a method for an automatic and fast generation of an analytical network model. The generated analysis copes with networks of arbitrary size, arbitrary switching element sizes, arbitrary buffer lengths in each network stage, an arbitrary (but uniform) traffic pattern including multicast traffic, and an arbitrarily chosen network load."
Download or read book Sequences and the de Bruijn Graph written by Tuvi Etzion and published by Elsevier. This book was released on 2024-05-01 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: The de Bruijn graph was defined in 1949 to enumerate the number of closed sequences where each n-tuple appears exactly once as a window in a sequence. Through the years, the graph and its sequences have found numerous applications – in space technology, wireless communication, cryptography, parallel computation, genome assembly, DNA storage, and microbiome research, among others. Sequences and the de Bruijn Graph: Properties, Constructions, and Applications explores the foundations of theoretical mathematical concepts and the important applications to computer science, electrical engineering, and bioinformatics. The book introduces the various concepts, ideas, and techniques associated with the use of the de Bruijn Graph, providing comprehensive coverage of sequence classification, one-dimensional and two-dimensional applications, graphs, interconnected networks, layouts, and embedded systems. Researchers, graduate students, professors, and professionals working in the fields of applied mathematics, electrical engineering, computer science and bioinformatics will find this book useful. Investigates computational and engineering applications associated with the de Bruijn graph, its sequences, and their generalization Explores one-dimensional and two-dimensional sequences with special properties and their various properties and applications Introduces the rich structure of the de Bruijn graph and its sequences, in both mathematical theory and its applications to computing and engineering problems
