Download or read book Some Contributions from Graph Theory to the Design and Study of Large and Fault tolerant Interconnection Networks written by Ignacio Manuel Pelayo Melero and published by . This book was released on 2000 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Graph Theory and Interconnection Networks written by Lih-Hsing Hsu and published by CRC Press. This book was released on 2008-09-26 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advancement of large scale integrated circuit technology has enabled the construction of complex interconnection networks. Graph theory provides a fundamental tool for designing and analyzing such networks. Graph Theory and Interconnection Networks provides a thorough understanding of these interrelated topics. After a brief introduction to gra
Download or read book Topological Structure and Analysis of Interconnection Networks written by Junming Xu and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advent of very large scale integrated circuit technology has enabled the construction of very complex and large interconnection networks. By most accounts, the next generation of supercomputers will achieve its gains by increasing the number of processing elements, rather than by using faster processors. The most difficult technical problem in constructing a supercom puter will be the design of the interconnection network through which the processors communicate. Selecting an appropriate and adequate topological structure of interconnection networks will become a critical issue, on which many research efforts have been made over the past decade. The book is aimed to attract the readers' attention to such an important research area. Graph theory is a fundamental and powerful mathematical tool for de signing and analyzing interconnection networks, since the topological struc ture of an interconnection network is a graph. This fact has been univer sally accepted by computer scientists and engineers. This book provides the most basic problems, concepts and well-established results on the topological structure and analysis of interconnection networks in the language of graph theory. The material originates from a vast amount of literature, but the theory presented is developed carefully and skillfully. The treatment is gen erally self-contained, and most stated results are proved. No exercises are explicitly exhibited, but there are some stated results whose proofs are left to the reader to consolidate his understanding of the material.
Download or read book Interconnection Networks written by J.-C. Bermond and published by Elsevier. This book was released on 2016-06-06 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of the articles in this book deal with static or point-to-pointInterconnection Networks. In particular, new constructions are proposed basedon different tools from discrete mathematics. Many new records have beenestablished in the table of the maximum number of vertices of graphs withmaximum degree &Dgr; and diameter D. Properties of thesenetworks (and of more classical ones) are analyzed in many of the otherpapers. About 40% of the articles deal with fault tolerance orvulnerability properties using either combinatorial tools or probabilisticones.
Download or read book Design and Analysis of Fault tolerant Interconnection Networks written by Alaric S. Hsiao and published by . This book was released on 1987 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Network Embeddings written by R. Sundara Rajan and published by LAP Lambert Academic Publishing. This book was released on 2013 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory is becoming increasingly significant as it is applied to areas of mathematics and science & technology. It is being actively used in fields as varied as biochemistry, electrical engineering, computer science and operations research. Graph embedding is an important technique used in the study of computational capabilities of processor interconnection networks and task distribution. Embeddings of graphs from one class of graphs into another class have important applications in the field of computer science. In the design and implementation of parallel and distributed computing systems, one fundamental issue is the design of the interconnection network through which the computing elements can communicate efficiently. A measure of reliability and fault tolerance of the overall interconnection networks is given by the maximum number of nodes which can fail simultaneously without prohibiting other non-faulty nodes from communicating with others. In this work the authors discussed the embedding parameters such as dilation, congestion and wirelenth of certain interconnection networks. Further, they studied faulty interconnection networks.
Download or read book Crossbar Based Interconnection Networks written by Mohsen Jahanshahi and published by Springer. This book was released on 2018-04-10 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique text/reference provides an overview of crossbar-based interconnection networks, offering novel perspectives on these important components of high-performance, parallel-processor systems. A particular focus is placed on solutions to the blocking and scalability problems. Topics and features: introduces the fundamental concepts in interconnection networks in multi-processor systems, including issues of blocking, scalability, and crossbar networks; presents a classification of interconnection networks, and provides information on recognizing each of the networks; examines the challenges of blocking and scalability, and analyzes the different solutions that have been proposed; reviews a variety of different approaches to improve fault tolerance in multistage interconnection networks; discusses the scalable crossbar network, which is a non-blocking interconnection network that uses small-sized crossbar switches as switching elements. This invaluable work will be of great benefit to students, researchers and practitioners interested in computer networks, parallel processing and reliability engineering. The text is also essential reading for course modules on interconnection network design and reliability.
Download or read book Energy Research Abstracts written by and published by . This book was released on 1986 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Interconnection Networks written by Jean-Claude Bermond and published by . This book was released on 1992-01-01 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of the articles in this book deal with static or point-to-point Interconnection Networks. In particular, new constructions are proposed based on different tools from discrete mathematics. Many new records have been established in the table of the maximum number of vertices of graphs with maximum degree Dgr; and diameter D . Properties of these networks (and of more classical ones) are analyzed in many of the other papers. About 40% of the articles deal with fault tolerance or vulnerability properties using either combinatorial tools or probabilistic ones.
Download or read book Graph Spectra for Complex Networks written by Piet van Mieghem and published by Cambridge University Press. This book was released on 2010-12-02 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analyzing the behavior of complex networks is an important element in the design of new man-made structures such as communication systems and biologically engineered molecules. Because any complex network can be represented by a graph, and therefore in turn by a matrix, graph theory has become a powerful tool in the investigation of network performance. This self-contained 2010 book provides a concise introduction to the theory of graph spectra and its applications to the study of complex networks. Covering a range of types of graphs and topics important to the analysis of complex systems, this guide provides the mathematical foundation needed to understand and apply spectral insight to real-world systems. In particular, the general properties of both the adjacency and Laplacian spectrum of graphs are derived and applied to complex networks. An ideal resource for researchers and students in communications networking as well as in physics and mathematics.
Download or read book Interconnection Networks written by José Duato and published by Institute of Electrical & Electronics Engineers(IEEE). This book was released on 1997 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing the challenges and detailing the basic underlying concepts of interconnection networks, this reference's engineering approach considers the issues that designers need to deal with and presents a broad set of practical solutions.
Download or read book The Design of Fault Tolerant Interconnection Networks written by William Edward Davidson and published by . This book was released on 1978 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2009 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Maximum Entropy Networks written by Tiziano Squartini and published by Springer. This book was released on 2017-11-22 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to maximum-entropy models of random graphs with given topological properties and their applications. Its original contribution is the reformulation of many seemingly different problems in the study of both real networks and graph theory within the unified framework of maximum entropy. Particular emphasis is put on the detection of structural patterns in real networks, on the reconstruction of the properties of networks from partial information, and on the enumeration and sampling of graphs with given properties. After a first introductory chapter explaining the motivation, focus, aim and message of the book, chapter 2 introduces the formal construction of maximum-entropy ensembles of graphs with local topological constraints. Chapter 3 focuses on the problem of pattern detection in real networks and provides a powerful way to disentangle nontrivial higher-order structural features from those that can be traced back to simpler local constraints. Chapter 4 focuses on the problem of network reconstruction and introduces various advanced techniques to reliably infer the topology of a network from partial local information. Chapter 5 is devoted to the reformulation of certain “hard” combinatorial operations, such as the enumeration and unbiased sampling of graphs with given constraints, within a “softened” maximum-entropy framework. A final chapter offers various overarching remarks and take-home messages.By requiring no prior knowledge of network theory, the book targets a broad audience ranging from PhD students approaching these topics for the first time to senior researchers interested in the application of advanced network techniques to their field.
Download or read book Proceedings of the Second International Conference on Massively Parallel Computing Systems MPCS 96 written by and published by Institute of Electrical & Electronics Engineers(IEEE). This book was released on 1996 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Large Fault tolerant Interconnection Networks written by J. C.. Bermond and published by . This book was released on 1986 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
