Minimal Networksthe Steiner Problem And Its Generalizations

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Minimal NetworksThe Steiner Problem and Its Generalizations

Author : Alexander O. Ivanov
Publisher : CRC Press
ISBN 13 : 9780849386428
Total Pages : 440 pages
Book Rating : 4.3/5 (864 download)

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Book Synopsis Minimal NetworksThe Steiner Problem and Its Generalizations by : Alexander O. Ivanov

Download or read book Minimal NetworksThe Steiner Problem and Its Generalizations written by Alexander O. Ivanov and published by CRC Press. This book was released on 1994-03-16 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the classic Steiner Problem and illustrates how results of the problem's development have generated the Theory of Minimal Networks, that is systems of "rubber" branching threads of minimal length. This theory demonstrates a brilliant interconnection among differential and computational geometry, topology, variational calculus, and graph theory. All necessary preliminary information is included, and the book's simplified format and nearly 150 illustrations and tables will help readers develop a concrete understanding of the material. All nontrivial statements are proved, and plenty of exercises are included.

Steiner Tree Problems in Computer Communication Networks

Author : Dingzhu Du
Publisher : World Scientific
ISBN 13 : 9812791450
Total Pages : 373 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Steiner Tree Problems in Computer Communication Networks by : Dingzhu Du

Download or read book Steiner Tree Problems in Computer Communication Networks written by Dingzhu Du and published by World Scientific. This book was released on 2008-01-01 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Steiner tree problem is one of the most important combinatorial optimization problems. It has a long history that can be traced back to the famous mathematician Fermat (1601-1665). This book studies three significant breakthroughs on the Steiner tree problem that were achieved in the 1990s, and some important applications of Steiner tree problems in computer communication networks researched in the past fifteen years. It not only covers some of the most recent developments in Steiner tree problems, but also discusses various combinatorial optimization methods, thus providing a balance between theory and practice. Sample Chapter(s). Chapter 1: Minimax Approach and Steiner Ratio (372 KB). Contents: Minimax Approach and Steiner Ratio; k -Steiner Ratios and Better Approximation Algorithms; Geometric Partitions and Polynomial Time Approximation Schemes; Grade of Service Steiner Tree Problem; Steiner Tree Problem for Minimal Steiner Points; Bottleneck Steiner Tree Problem; Steiner k -Tree and k -Path Routing Problems; Steiner Tree Coloring Problem; Steiner Tree Scheduling Problem; Survivable Steiner Network Problem. Readership: Researchers and graduate students of computer science and engineering as well as operations research.

Steiner Minimal Trees

Author : Dietmar Cieslik
Publisher : Springer Science & Business Media
ISBN 13 : 1475765851
Total Pages : 327 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Steiner Minimal Trees by : Dietmar Cieslik

Download or read book Steiner Minimal Trees written by Dietmar Cieslik and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of "Shortest Connectivity", which is discussed here, has a long and convoluted history. Many scientists from many fields as well as laymen have stepped on its stage. Usually, the problem is known as Steiner's Problem and it can be described more precisely in the following way: Given a finite set of points in a metric space, search for a network that connects these points with the shortest possible length. This shortest network must be a tree and is called a Steiner Minimal Tree (SMT). It may contain vertices different from the points which are to be connected. Such points are called Steiner points. Steiner's Problem seems disarmingly simple, but it is rich with possibilities and difficulties, even in the simplest case, the Euclidean plane. This is one of the reasons that an enormous volume of literature has been published, starting in 1 the seventeenth century and continuing until today. The difficulty is that we look for the shortest network overall. Minimum span ning networks have been well-studied and solved eompletely in the case where only the given points must be connected. The novelty of Steiner's Problem is that new points, the Steiner points, may be introduced so that an intercon necting network of all these points will be shorter. This also shows that it is impossible to solve the problem with combinatorial and geometric methods alone.

Branching Solutions To One-dimensional Variational Problems

Author : Alexandr Ivanov
Publisher : World Scientific
ISBN 13 : 981449433X
Total Pages : 365 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Branching Solutions To One-dimensional Variational Problems by : Alexandr Ivanov

Download or read book Branching Solutions To One-dimensional Variational Problems written by Alexandr Ivanov and published by World Scientific. This book was released on 2001-01-17 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the new class of one-dimensional variational problems — the problems with branching solutions. Instead of extreme curves (mappings of a segment to a manifold) we investigate extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a manifold. Various applications of the approach are presented, such as several generalizations of the famous Steiner problem of finding the shortest network spanning given points of the plane.

Shortest Connectivity

Author : Dietmar Cieslik
Publisher : Springer Science & Business Media
ISBN 13 : 0387235396
Total Pages : 277 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Shortest Connectivity by : Dietmar Cieslik

Download or read book Shortest Connectivity written by Dietmar Cieslik and published by Springer Science & Business Media. This book was released on 2006-06-02 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim in this graduate level text is to outline the key mathematical concepts that underpin these important questions in applied mathematics. These concepts involve discrete mathematics (particularly graph theory), optimization, computer science, and several ideas in biology.

Knowledge-Based Intelligent Information and Engineering Systems

Author : Bogdan Gabrys
Publisher : Springer Science & Business Media
ISBN 13 : 3540465359
Total Pages : 1360 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Knowledge-Based Intelligent Information and Engineering Systems by : Bogdan Gabrys

Download or read book Knowledge-Based Intelligent Information and Engineering Systems written by Bogdan Gabrys and published by Springer Science & Business Media. This book was released on 2006-09-27 with total page 1360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three volume set LNAI 4251, LNAI 4252, and LNAI 4253 constitutes the refereed proceedings of the 10th International Conference on Knowledge-Based Intelligent Information and Engineering Systems, KES 2006, held in Bournemouth, UK in October 2006. The 480 revised papers presented were carefully reviewed and selected from about 1400 submissions. The papers present a wealth of original research results from the field of intelligent information processing.

The Steiner Ratio

Author : Dietmar Cieslik
Publisher : Springer Science & Business Media
ISBN 13 : 1475767986
Total Pages : 247 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis The Steiner Ratio by : Dietmar Cieslik

Download or read book The Steiner Ratio written by Dietmar Cieslik and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Steiner's Problem concerns finding a shortest interconnecting network for a finite set of points in a metric space. A solution must be a tree, which is called a Steiner Minimal Tree (SMT), and may contain vertices different from the points which are to be connected. Steiner's Problem is one of the most famous combinatorial-geometrical problems, but unfortunately it is very difficult in terms of combinatorial structure as well as computational complexity. However, if only a Minimum Spanning Tree (MST) without additional vertices in the interconnecting network is sought, then it is simple to solve. So it is of interest to know what the error is if an MST is constructed instead of an SMT. The worst case for this ratio running over all finite sets is called the Steiner ratio of the space. The book concentrates on investigating the Steiner ratio. The goal is to determine, or at least estimate, the Steiner ratio for many different metric spaces. The author shows that the description of the Steiner ratio contains many questions from geometry, optimization, and graph theory. Audience: Researchers in network design, applied optimization, and design of algorithms.

Euro-Par 2005 Parallel Processing

Author : José C. Cunha
Publisher : Springer Science & Business Media
ISBN 13 : 3540287000
Total Pages : 1311 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Euro-Par 2005 Parallel Processing by : José C. Cunha

Download or read book Euro-Par 2005 Parallel Processing written by José C. Cunha and published by Springer Science & Business Media. This book was released on 2005-08-18 with total page 1311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euro-Par 2005 was the eleventh conference in the Euro-Par series. It was organized by the Centre for Informatics and Information Technology (CITI) and the Department of Informatics of the Faculty of Science and Technology of Universidade Nova de Lisboa, at the Campus of Monte de Caparica.

Frontiers in Global Optimization

Author : Christodoulos A. Floudas
Publisher : Springer Science & Business Media
ISBN 13 : 146130251X
Total Pages : 590 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Frontiers in Global Optimization by : Christodoulos A. Floudas

Download or read book Frontiers in Global Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global Optimization has emerged as one of the most exciting new areas of mathematical programming. Global optimization has received a wide attraction from many fields in the past few years, due to the success of new algorithms for addressing previously intractable problems from diverse areas such as computational chemistry and biology, biomedicine, structural optimization, computer sciences, operations research, economics, and engineering design and control. This book contains refereed invited papers submitted at the 4th international confer ence on Frontiers in Global Optimization held at Santorini, Greece during June 8-12, 2003. Santorini is one of the few sites of Greece, with wild beauty created by the explosion of a volcano which is in the middle of the gulf of the island. The mystic landscape with its numerous mult-extrema, was an inspiring location particularly for researchers working on global optimization. The three previous conferences on "Recent Advances in Global Opti mization", "State-of-the-Art in Global Optimization", and "Optimization in Computational Chemistry and Molecular Biology: Local and Global approaches" took place at Princeton University in 1991, 1995, and 1999, respectively. The papers in this volume focus on de terministic methods for global optimization, stochastic methods for global optimization, distributed computing methods in global optimization, and applications of global optimiza tion in several branches of applied science and engineering, computer science, computational chemistry, structural biology, and bio-informatics.

Models and Algorithms for Global Optimization

Author : Aimo Törn
Publisher : Springer Science & Business Media
ISBN 13 : 0387367217
Total Pages : 362 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Models and Algorithms for Global Optimization by : Aimo Törn

Download or read book Models and Algorithms for Global Optimization written by Aimo Törn and published by Springer Science & Business Media. This book was released on 2007-04-08 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: The research of Antanas Zilinskas has focused on developing models for global optimization, implementing and investigating the corresponding algorithms, and applying those algorithms to practical problems. This volume, dedicated to Professor Zilinskas on the occasion of his 60th birthday, contains new survey papers in which leading researchers from the field present various models and algorithms for solving global optimization problems.

Examining Robustness and Vulnerability of Networked Systems

Author : S. Butenko
Publisher : IOS Press
ISBN 13 : 1614993912
Total Pages : 320 pages
Book Rating : 4.6/5 (149 download)

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Book Synopsis Examining Robustness and Vulnerability of Networked Systems by : S. Butenko

Download or read book Examining Robustness and Vulnerability of Networked Systems written by S. Butenko and published by IOS Press. This book was released on 2014-06-19 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern critical infrastructure is characterized by complex, heterogeneous and dynamically evolving networks. But these can be vulnerable to component failure, and this is a problem which must be addressed by realistic mathematical models. This book presents papers from the NATO Advanced Research Workshop (ARW), Examining Robustness and Vulnerability of Critical Infrastructure Networks, held in Kiev, Ukraine, in June 2013. Contributions were from workshop participants as well as invited experts in the field, and cover topics including: mathematical models; probability-based risk measures; algorithms for the design and detection of robust structures; identification of critical network components and case studies. This book will be of interest to researchers, practitioners and graduate students in the fields of mathematics, computer science and engineering.

Differential Geometric Structures and Applications

Author : Vladimir Rovenski
Publisher : Springer Nature
ISBN 13 : 3031505867
Total Pages : 323 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Differential Geometric Structures and Applications by : Vladimir Rovenski

Download or read book Differential Geometric Structures and Applications written by Vladimir Rovenski and published by Springer Nature. This book was released on with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Teaching Secondary Mathematics as if the Planet Matters

Author : Alf Coles
Publisher : Routledge
ISBN 13 : 1136597867
Total Pages : 190 pages
Book Rating : 4.1/5 (365 download)

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Book Synopsis Teaching Secondary Mathematics as if the Planet Matters by : Alf Coles

Download or read book Teaching Secondary Mathematics as if the Planet Matters written by Alf Coles and published by Routledge. This book was released on 2013-07-18 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: ‘This book moves us beyond a theoretical pondering of the issues and makes concrete suggestions for teachers and students for how things can be different in mathematics classrooms. This is long overdue.’ Peter Gates, University of Nottingham Teaching Mathematics as if the Planet Matters explores how Mathematics teachers can develop approaches to curriculum and learning which help students understand the nature of the contemporary world. It sets out a model for teaching and learning that allows teachers to examine existing approaches to teaching and draw upon the insights of mathematics as a discipline to help students relate classroom mathematics to global issues such as climate change, the economy, food supplies, biodiversity, human rights, and social justice. Including practical examples, suggestions for teaching activities and detailed further reading sections, the book covers: the mathematics of description in the measuring, recording and statistical analysis that informs our knowledge of climate change, consumption and sustainability; the mathematics of prediction in the modelling used by governments, scientists and businesses to plan roads, power stations and food supplies and their effects; the mathematics of communication in the news reports, blogs and environmental campaigns, incomplete without graphs, charts and statistics. The true worth of a school subject is revealed in how far it can account for and respond to the major issues of the time. The issue of the environment cuts across subject boundaries and requires an interdisciplinary response. Mathematics teachers are part of that response and they have a crucial role in helping students to respond to environmental issues and representations.

Remote Sensing

Author : Boris Escalante
Publisher : BoD – Books on Demand
ISBN 13 : 953510652X
Total Pages : 478 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Remote Sensing by : Boris Escalante

Download or read book Remote Sensing written by Boris Escalante and published by BoD – Books on Demand. This book was released on 2012-06-13 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dual conception of remote sensing brought us to the idea of preparing two different books; in addition to the first book which displays recent advances in remote sensing applications, this book is devoted to new techniques for data processing, sensors and platforms. We do not intend this book to cover all aspects of remote sensing techniques and platforms, since it would be an impossible task for a single volume. Instead, we have collected a number of high-quality, original and representative contributions in those areas.

Handbook of Algorithms for Physical Design Automation

Author : Charles J. Alpert
Publisher : CRC Press
ISBN 13 : 1000654192
Total Pages : 1044 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Handbook of Algorithms for Physical Design Automation by : Charles J. Alpert

Download or read book Handbook of Algorithms for Physical Design Automation written by Charles J. Alpert and published by CRC Press. This book was released on 2008-11-12 with total page 1044 pages. Available in PDF, EPUB and Kindle. Book excerpt: The physical design flow of any project depends upon the size of the design, the technology, the number of designers, the clock frequency, and the time to do the design. As technology advances and design-styles change, physical design flows are constantly reinvented as traditional phases are removed and new ones are added to accommodate changes in

On Optimal Interconnections for VLSI

Author : Andrew B. Kahng
Publisher : Springer Science & Business Media
ISBN 13 : 1475723636
Total Pages : 301 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis On Optimal Interconnections for VLSI by : Andrew B. Kahng

Download or read book On Optimal Interconnections for VLSI written by Andrew B. Kahng and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: On Optimal Interconnections for VLSI describes, from a geometric perspective, algorithms for high-performance, high-density interconnections during the global and detailed routing phases of circuit layout. First, the book addresses area minimization, with a focus on near-optimal approximation algorithms for minimum-cost Steiner routing. In addition to practical implementations of recent methods, the implications of recent results on spanning tree degree bounds and the method of Zelikovsky are discussed. Second, the book addresses delay minimization, starting with a discussion of accurate, yet algorithmically tractable, delay models. Recent minimum-delay constructions are highlighted, including provably good cost-radius tradeoffs, critical-sink routing algorithms, Elmore delay-optimal routing, graph Steiner arborescences, non-tree routing, and wiresizing. Third, the book addresses skew minimization for clock routing and prescribed-delay routing formulations. The discussion starts with early matching-based constructions and goes on to treat zero-skew routing with provably minimum wirelength, as well as planar clock routing. Finally, the book concludes with a discussion of multiple (competing) objectives, i.e., how to optimize area, delay, skew, and other objectives simultaneously. These techniques are useful when the routing instance has heterogeneous resources or is highly congested, as in FPGA routing, multi-chip packaging, and very dense layouts. Throughout the book, the emphasis is on practical algorithms and a complete self-contained development. On Optimal Interconnections for VLSI will be of use to both circuit designers (CAD tool users) as well as researchers and developers in the area of performance-driven physical design.

Handbook of Combinatorial Optimization

Author : Ding-Zhu Du
Publisher : Springer Science & Business Media
ISBN 13 : 0387238301
Total Pages : 395 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Handbook of Combinatorial Optimization by : Ding-Zhu Du

Download or read book Handbook of Combinatorial Optimization written by Ding-Zhu Du and published by Springer Science & Business Media. This book was released on 2006-08-18 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a supplementary volume to the major three-volume Handbook of Combinatorial Optimization set. It can also be regarded as a stand-alone volume presenting chapters dealing with various aspects of the subject in a self-contained way.