Graph Theory And Interconnection Networks

Author : Lih-Hsing Hsu,Cheng-Kuan Lin
Publisher : CRC Press
Page : 720 pages
File Size : 55,6 Mb
Release : 2008-09-26
Category : Computers
ISBN : 1420044826

Get Book

Graph Theory and Interconnection Networks by Lih-Hsing Hsu,Cheng-Kuan Lin Pdf

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 graph terminology, the book presents well-known interconnection networks as examples of graphs, followed by in-depth coverage of Hamiltonian graphs. Different types of problems illustrate the wide range of available methods for solving such problems. The text also explores recent progress on the diagnosability of graphs under various models.

Author : Junming Xu
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 46,5 Mb
Release : 2013-04-17
Category : Computers
ISBN : 9781475733877

Get Book

Topological Structure and Analysis of Interconnection Networks by Junming Xu Pdf

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.

Author : J.-C. Bermond
Publisher : Elsevier
Page : 128 pages
File Size : 52,5 Mb
Release : 2016-06-06
Category : Mathematics
ISBN : 9781483295275

Get Book

Interconnection Networks by J.-C. Bermond Pdf

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.

Author : Ding-Zhu Du,F. Hsu
Publisher : Springer Science & Business Media
Page : 219 pages
File Size : 47,7 Mb
Release : 2013-04-09
Category : Mathematics
ISBN : 9781475724912

Get Book

Combinatorial Network Theory by Ding-Zhu Du,F. Hsu Pdf

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.

Author : Ignacio Manuel Pelayo Melero
Publisher : Unknown
Page : 0 pages
File Size : 44,5 Mb
Release : 2000
Category : Electronic
ISBN : OCLC:807383088

Get Book

Some Contributions from Graph Theory to the Design and Study of Large and Fault-tolerant Interconnection Networks by Ignacio Manuel Pelayo Melero Pdf

Author : Gena Hahn,Gert Sabidussi
Publisher : Springer Science & Business Media
Page : 434 pages
File Size : 52,7 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9789401589376

Get Book

Graph Symmetry by Gena Hahn,Gert Sabidussi Pdf

The last decade has seen two parallel developments, one in computer science, the other in mathematics, both dealing with the same kind of combinatorial structures: networks with strong symmetry properties or, in graph-theoretical language, vertex-transitive graphs, in particular their prototypical examples, Cayley graphs. In the design of large interconnection networks it was realised that many of the most fre quently used models for such networks are Cayley graphs of various well-known groups. This has spawned a considerable amount of activity in the study of the combinatorial properties of such graphs. A number of symposia and congresses (such as the bi-annual IWIN, starting in 1991) bear witness to the interest of the computer science community in this subject. On the mathematical side, and independently of any interest in applications, progress in group theory has made it possible to make a realistic attempt at a complete description of vertex-transitive graphs. The classification of the finite simple groups has played an important role in this respect.

Author : Maarten van Steen
Publisher : Maarten Van Steen
Page : 285 pages
File Size : 45,8 Mb
Release : 2010
Category : Graph theory
ISBN : 9081540610

Get Book

Graph Theory and Complex Networks by Maarten van Steen Pdf

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.

Author : Gottfried Tinhofer,Rudolf Albrecht,Ernst Mayr,Hartmut Noltemeier,Maciej M. Syslo
Publisher : Springer Science & Business Media
Page : 282 pages
File Size : 44,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783709190760

Get Book

Computational Graph Theory by Gottfried Tinhofer,Rudolf Albrecht,Ernst Mayr,Hartmut Noltemeier,Maciej M. Syslo Pdf

One ofthe most important aspects in research fields where mathematics is "applied is the construction of a formal model of a real system. As for structural relations, graphs have turned out to provide the most appropriate tool for setting up the mathematical model. This is certainly one of the reasons for the rapid expansion in graph theory during the last decades. Furthermore, in recent years it also became clear that the two disciplines of graph theory and computer science have very much in common, and that each one has been capable of assisting significantly in the development of the other. On one hand, graph theorists have found that many of their problems can be solved by the use of com puting techniques, and on the other hand, computer scientists have realized that many of their concepts, with which they have to deal, may be conveniently expressed in the lan guage of graph theory, and that standard results in graph theory are often very relevant to the solution of problems concerning them. As a consequence, a tremendous number of publications has appeared, dealing with graphtheoretical problems from a computational point of view or treating computational problems using graph theoretical concepts.

Author : Krishnaiyan "KT" Thulasiraman,Subramanian Arumugam,Andreas Brandstädt,Takao Nishizeki
Publisher : CRC Press
Page : 1217 pages
File Size : 42,8 Mb
Release : 2016-01-05
Category : Computers
ISBN : 9781420011074

Get Book

Handbook of Graph Theory, Combinatorial Optimization, and Algorithms by Krishnaiyan "KT" Thulasiraman,Subramanian Arumugam,Andreas Brandstädt,Takao Nishizeki Pdf

The fusion between graph theory and combinatorial optimization has led to theoretically profound and practically useful algorithms, yet there is no book that currently covers both areas together. Handbook of Graph Theory, Combinatorial Optimization, and Algorithms is the first to present a unified, comprehensive treatment of both graph theory and c

Author : Derbiau Frank Hsu,Arnold L. Rosenberg,Dominique Sotteau
Publisher : American Mathematical Soc.
Page : 360 pages
File Size : 45,9 Mb
Release : 1995-01-01
Category : Computers
ISBN : 082187067X

Get Book

Interconnection Networks and Mapping and Scheduling Parallel Computations by Derbiau Frank Hsu,Arnold L. Rosenberg,Dominique Sotteau Pdf

This book contains the refereed proceedings of a DIMACS Workshop on Massively Parallel Computation.

Author : Antonios Garas
Publisher : Springer
Page : 229 pages
File Size : 52,8 Mb
Release : 2016-02-04
Category : Science
ISBN : 9783319239477

Get Book

Interconnected Networks by Antonios Garas Pdf

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.

Author : Giuseppe Liotta,Roberto Tamassia,Ioannis G. Tollis
Publisher : World Scientific
Page : 418 pages
File Size : 45,8 Mb
Release : 2004-01-01
Category : Mathematics
ISBN : 9812796606

Get Book

Graph Algorithms and Applications 3 by Giuseppe Liotta,Roberto Tamassia,Ioannis G. Tollis Pdf

This book contains Volume 6 of the Journal of Graph Algorithms and Applications (JGAA) . JGAA is a peer-reviewed scientific journal devoted to the publication of high-quality research papers on the analysis, design, implementation, and applications of graph algorithms. Areas of interest include computational biology, computational geometry, computer graphics, computer-aided design, computer and interconnection networks, constraint systems, databases, graph drawing, graph embedding and layout, knowledge representation, multimedia, software engineering, telecommunications networks, user interfaces and visualization, and VLSI circuit design. Graph Algorithms and Applications 3 presents contributions from prominent authors and includes selected papers from the Symposium on Graph Drawing (1999 and 2000). All papers in the book have extensive diagrams and offer a unique treatment of graph algorithms focusing on the important applications. Contents: Triangle-Free Planar Graphs and Segment Intersection Graphs (N de Castro et al.); Traversing Directed Eulerian Mazes (S Bhatt et al.); A Fast Multi-Scale Method for Drawing Large Graphs (D Harel & Y Koren); GRIP: Graph Drawing with Intelligent Placement (P Gajer & S G Kobourov); Graph Drawing in Motion (C Friedrich & P Eades); A 6-Regular Torus Graph Family with Applications to Cellular and Interconnection Networks (M Iridon & D W Matula); and other papers. Readership: Researchers and practitioners in theoretical computer science, computer engineering, and combinatorics and graph theory.

Author : Fan Chung,Fan R. K. Chung,Fan Chung Graham,Linyuan Lu,Professor of Resiratory Medicine Kian Fan Chung
Publisher : American Mathematical Soc.
Page : 274 pages
File Size : 41,6 Mb
Release : 2006
Category : Combinatorial analysis
ISBN : 9780821836576

Get Book

Complex Graphs and Networks by Fan Chung,Fan R. K. Chung,Fan Chung Graham,Linyuan Lu,Professor of Resiratory Medicine Kian Fan Chung Pdf

Graph theory is a primary tool for detecting numerous hidden structures in various information networks, including Internet graphs, social networks, biological networks, or any graph representing relations in massive data sets. This book explains the universal and ubiquitous coherence in the structure of these realistic but complex networks.

Author : William James Dally,Brian Patrick Towles
Publisher : Elsevier
Page : 581 pages
File Size : 42,8 Mb
Release : 2004-03-06
Category : Computers
ISBN : 9780080497808

Get Book

Principles and Practices of Interconnection Networks by William James Dally,Brian Patrick Towles Pdf

One of the greatest challenges faced by designers of digital systems is optimizing the communication and interconnection between system components. Interconnection networks offer an attractive and economical solution to this communication crisis and are fast becoming pervasive in digital systems. Current trends suggest that this communication bottleneck will be even more problematic when designing future generations of machines. Consequently, the anatomy of an interconnection network router and science of interconnection network design will only grow in importance in the coming years.This book offers a detailed and comprehensive presentation of the basic principles of interconnection network design, clearly illustrating them with numerous examples, chapter exercises, and case studies. It incorporates hardware-level descriptions of concepts, allowing a designer to see all the steps of the process from abstract design to concrete implementation. Case studies throughout the book draw on extensive author experience in designing interconnection networks over a period of more than twenty years, providing real world examples of what works, and what doesn't. Tightly couples concepts with implementation costs to facilitate a deeper understanding of the tradeoffs in the design of a practical network. A set of examples and exercises in every chapter help the reader to fully understand all the implications of every design decision.

Author : Bela Bollobas
Publisher : Springer Science & Business Media
Page : 408 pages
File Size : 40,6 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461206194

Get Book

Modern Graph Theory by Bela Bollobas Pdf

An in-depth account of graph theory, written for serious students of mathematics and computer science. It reflects the current state of the subject and emphasises connections with other branches of pure mathematics. Recognising that graph theory is one of several courses competing for the attention of a student, the book contains extensive descriptive passages designed to convey the flavour of the subject and to arouse interest. In addition to a modern treatment of the classical areas of graph theory, the book presents a detailed account of newer topics, including Szemerédis Regularity Lemma and its use, Shelahs extension of the Hales-Jewett Theorem, the precise nature of the phase transition in a random graph process, the connection between electrical networks and random walks on graphs, and the Tutte polynomial and its cousins in knot theory. Moreover, the book contains over 600 well thought-out exercises: although some are straightforward, most are substantial, and some will stretch even the most able reader.