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 Combinatorial Network Theory written by Ding-Zhu Du and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: A basic problem for the interconnection of communications media is to design interconnection networks for specific needs. For example, to minimize delay and to maximize reliability, networks are required that have minimum diameter and maximum connectivity under certain conditions. The book provides a recent solution to this problem. The subject of all five chapters is the interconnection problem. The first two chapters deal with Cayley digraphs which are candidates for networks of maximum connectivity with given degree and number of nodes. Chapter 3 addresses Bruijn digraphs, Kautz digraphs, and their generalizations, which are candidates for networks of minimum diameter and maximum connectivity with given degree and number of nodes. Chapter 4 studies double loop networks, and Chapter 5 considers broadcasting and the Gossiping problem. All the chapters emphasize the combinatorial aspects of network theory. Audience: A vital reference for graduate students and researchers in applied mathematics and theoretical computer science.

Download or read book Fundamentals of Complex Networks written by Guanrong Chen and published by John Wiley & Sons. This book was released on 2015-06-29 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex networks such as the Internet, WWW, transportation networks, power grids, biological neural networks, and scientific cooperation networks of all kinds provide challenges for future technological development. • The first systematic presentation of dynamical evolving networks, with many up-to-date applications and homework projects to enhance study • The authors are all very active and well-known in the rapidly evolving field of complex networks • Complex networks are becoming an increasingly important area of research • Presented in a logical, constructive style, from basic through to complex, examining algorithms, through to construct networks and research challenges of the future

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 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 Cayley Graph Interconnection Networks of Constant Degrees Three and Four written by Premkumar Vadapalli and published by . This book was released on 1994 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Interconnection Networks for Multiprocessors and Multicomputers written by Anujan Varma and published by . This book was released on 1994 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Systems Organization -- Computer-Communication Networks.

Download or read book Proceedings Sixth IEEE Symposium on Parallel and Distributed Processing written by IEEE Computer Society. TC on Distributed Processing and published by . This book was released on 1994 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the October 1994 symposium comprise 86 papers in sessions devoted to algorithms (three sessions), applications (three sessions), architecture, communications, distributed algorithms, distributed models, distributed systems (three sessions), fault tolerant systems, interconnection

Download or read book Computer and Information Sciences ISCIS 2003 written by Adnan Yazici and published by Springer Science & Business Media. This book was released on 2003-10-14 with total page 1128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 18th International Symposium on Computer and Information Sciences, ISCIS 2003, held in Antalya, Turkey in November 2003. The 135 revised papers presented together with 2 invited papers were carefully reviewed and selected from over 360 submissions. The papers are organized in topical sections on architectures and systems, theoretical computer science, databases and information retrieval, e-commerce, graphics and computer vision, intelligent systems and robotics, multimedia, networks and security, parallel and distributed computing, soft computing, and software engineering.

Download or read book Topics in Time Delay Systems written by Jean Jacques Loiseau and published by Springer. This book was released on 2009-08-10 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time delays are present in many physical processes due to the period of time it takes for the events to occur. Delays are particularly more pronounced in networks of interconnected systems, such as supply chains and systems controlled over c- munication networks. In these control problems, taking the delays into account is particularly important for performance evaluation and control system’s design. It has been shown, indeed, that delays in a controlled system (for instance, a c- munication delay for data acquisition) may have an “ambiguous” nature: they may stabilize the system, or, in the contrary,they may lead to deteriorationof the clos- loop performance or even instability, depending on the delay value and the system parameters. It is a fact that delays have stabilizing effects, but this is clearly con i- ing for human intuition. Therefore,speci c analysis techniquesand design methods are to be developed to satisfactorily take into account the presence of delays at the design stage of the control system. The research on time delay systems stretches back to 1960s and it has been very active during the last twenty years. During this period, the results have been presented at the main control conferences(CDC, ACC, IFAC), in specialized wo- shops (IFAC TDS series), and published in the leading journals of control engine- ing, systems and control theory, applied and numerical mathematics.

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1084 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Graph Algorithms and Applications I written by Roberto Tamassia and published by World Scientific. This book was released on 2002 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains volumes 1-3 of the Journal of Graph Algorithms and Applications (JGAA). Topics of interest include design and analysis of graph algorithms, experiences with graph algorithms, and applications of graph algorithms. JGAA is supported by distinguished advisory and editorial boards, has high scientific standards, and takes advantage of current electronic document technology. The electronic version of JGAA is available on the Web at http: //www.cs.brown.edu/publications/jgaa/

Download or read book Graph Algorithms And Applications 1 written by Roberto Tamassia and published by World Scientific. This book was released on 2002-03-11 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains volumes 1-3 of the Journal of Graph Algorithms and Applications (JGAA). Topics of interest include design and analysis of graph algorithms, experiences with graph algorithms, and applications of graph algorithms. JGAA is supported by distinguished advisory and editorial boards, has high scientific standards, and takes advantage of current electronic document technology. The electronic version of JGAA is available on the Web at www.cs.brown.edu/publications/jgaa/.

Download or read book Random Walks and Diffusion written by Open University Course Team and published by . This book was released on 2009-10-21 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This block explores the diffusion equation which is most commonly encountered in discussions of the flow of heat and of molecules moving in liquids, but diffusion equations arise from many different areas of applied mathematics. As well as considering the solutions of diffusion equations in detail, we also discuss the microscopic mechanism underlying the diffusion equation, namely that particles of matter or heat move erratically. This involves a discussion of elementary probability and statistics, which are used to develop a description of random walk processes and of the central limit theorem. These concepts are used to show that if particles follow random walk trajectories, their density obeys the diffusion equation.

Download or read book 1995 IEEE 14th Annual International Phoenix Conference on Computers and Communications written by IEEE Communications Society and published by Institute of Electrical & Electronics Engineers(IEEE). This book was released on 1995 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Graph Theory and Complex Networks written by Maarten van Steen and published by Maarten Van Steen. This book was released on 2010 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to explain the basics of graph theory that are needed at an introductory level for students in computer or information sciences. To motivate students and to show that even these basic notions can be extremely useful, the book also aims to provide an introduction to the modern field of network science. Mathematics is often unnecessarily difficult for students, at times even intimidating. For this reason, explicit attention is paid in the first chapters to mathematical notations and proof techniques, emphasizing that the notations form the biggest obstacle, not the mathematical concepts themselves. This approach allows to gradually prepare students for using tools that are necessary to put graph theory to work: complex networks. In the second part of the book the student learns about random networks, small worlds, the structure of the Internet and the Web, peer-to-peer systems, and social networks. Again, everything is discussed at an elementary level, but such that in the end students indeed have the feeling that they: 1.Have learned how to read and understand the basic mathematics related to graph theory. 2.Understand how basic graph theory can be applied to optimization problems such as routing in communication networks. 3.Know a bit more about this sometimes mystical field of small worlds and random networks. There is an accompanying web site www.distributed-systems.net/gtcn from where supplementary material can be obtained, including exercises, Mathematica notebooks, data for analyzing graphs, and generators for various complex networks.

Download or read book Interconnected Networks written by Antonios Garas and published by Springer. This book was released on 2016-02-04 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an introduction to and overview of the emerging field of interconnected networks which include multilayer or multiplex networks, as well as networks of networks. Such networks present structural and dynamical features quite different from those observed in isolated networks. The presence of links between different networks or layers of a network typically alters the way such interconnected networks behave – understanding the role of interconnecting links is therefore a crucial step towards a more accurate description of real-world systems. While examples of such dissimilar properties are becoming more abundant – for example regarding diffusion, robustness and competition – the root of such differences remains to be elucidated. Each chapter in this topical collection is self-contained and can be read on its own, thus making it also suitable as reference for experienced researchers wishing to focus on a particular topic.