Optimal Interconnection Trees In The Plane


Optimal Interconnection Trees In The Plane
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Optimal Interconnection Trees In The Plane


Optimal Interconnection Trees In The Plane
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Author : Marcus Brazil
language : en
Publisher: Springer
Release Date : 2015-04-13

Optimal Interconnection Trees In The Plane written by Marcus Brazil and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-13 with Mathematics categories.


This book explores fundamental aspects of geometric network optimisation with applications to a variety of real world problems. It presents, for the first time in the literature, a cohesive mathematical framework within which the properties of such optimal interconnection networks can be understood across a wide range of metrics and cost functions. The book makes use of this mathematical theory to develop efficient algorithms for constructing such networks, with an emphasis on exact solutions. Marcus Brazil and Martin Zachariasen focus principally on the geometric structure of optimal interconnection networks, also known as Steiner trees, in the plane. They show readers how an understanding of this structure can lead to practical exact algorithms for constructing such trees. The book also details numerous breakthroughs in this area over the past 20 years, features clearly written proofs, and is supported by 135 colour and 15 black and white figures. It will help graduate students, working mathematicians, engineers and computer scientists to understand the principles required for designing interconnection networks in the plane that are as cost efficient as possible.



Discrete Geometry And Mathematical Morphology


Discrete Geometry And Mathematical Morphology
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Author : Sara Brunetti
language : en
Publisher: Springer Nature
Release Date :

Discrete Geometry And Mathematical Morphology written by Sara Brunetti and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Experimental Algorithms


Experimental Algorithms
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Author : Andrew V. Goldberg
language : en
Publisher: Springer
Release Date : 2016-05-31

Experimental Algorithms written by Andrew V. Goldberg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-31 with Computers categories.


This book constitutes the refereed proceedings of the 15th International Symposium on Experimental Algorithms, SEA 2016, held in St. Petersburg, Russia, in June 2016. The 25 revised full papers presented were carefully reviewed and selected from 54 submissions. The main theme of the symposium is the role of experimentation and of algorithm engineering techniques in the design and evaluation of algorithms and data structures. SEA covers a wide range of topics in experimental algorithmics, bringing together researchers from algorithm engineering, mathematical programming, and combinatorial optimization communities.



Computing And Combinatorics


Computing And Combinatorics
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Author : Donghyun Kim
language : en
Publisher: Springer Nature
Release Date : 2020-08-27

Computing And Combinatorics written by Donghyun Kim and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-27 with Computers categories.


This book constitutes the proceedings of the 26th International Conference on Computing and Combinatorics, COCOON 2020, held in Atlanta, GA, USA, in August 2020. Due to the COVID-19 pandemic COCOON 2020 was organized as a fully online conference. The 54 papers presented in this volume were carefully reviewed and selected from 126 submissions. The papers cover various topics, including algorithm design, approximation algorithm, graph theory, complexity theory, problem solving, optimization, computational biology, computational learning, communication network, logic, and game theory.



New Trends In Intuitive Geometry


New Trends In Intuitive Geometry
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Author : Gergely Ambrus
language : en
Publisher: Springer
Release Date : 2018-11-03

New Trends In Intuitive Geometry written by Gergely Ambrus and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-03 with Mathematics categories.


This volume contains 17 surveys that cover many recent developments in Discrete Geometry and related fields. Besides presenting the state-of-the-art of classical research subjects like packing and covering, it also offers an introduction to new topological, algebraic and computational methods in this very active research field. The readers will find a variety of modern topics and many fascinating open problems that may serve as starting points for research.



Steiner Tree Problems In Computer Communication Networks


Steiner Tree Problems In Computer Communication Networks
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Author : Dingzhu Du
language : en
Publisher: World Scientific
Release Date : 2008

Steiner Tree Problems In Computer Communication Networks written by Dingzhu Du and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Computers categories.


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.



On Optimal Interconnections For Vlsi


On Optimal Interconnections For Vlsi
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Author : Andrew B. Kahng
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

On Optimal Interconnections For Vlsi written by Andrew B. Kahng and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Technology & Engineering categories.


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.



Steiner Tree Problems In Computer Communication Networks


Steiner Tree Problems In Computer Communication Networks
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Author :
language : en
Publisher:
Release Date :

Steiner Tree Problems In Computer Communication Networks written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Proceedings Of The Workshop On Interconnection Networks For Parallel And Distributed Processing


Proceedings Of The Workshop On Interconnection Networks For Parallel And Distributed Processing
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Author :
language : en
Publisher:
Release Date : 1980

Proceedings Of The Workshop On Interconnection Networks For Parallel And Distributed Processing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Computer networks categories.




Proceedings Of The Workshop On Interconnection Networks For Parallel And Distributed Processing April 21 22 1980


Proceedings Of The Workshop On Interconnection Networks For Parallel And Distributed Processing April 21 22 1980
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Author : Howard Jay Siegel
language : en
Publisher:
Release Date : 1980

Proceedings Of The Workshop On Interconnection Networks For Parallel And Distributed Processing April 21 22 1980 written by Howard Jay Siegel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Computer networks categories.