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Network Flow Algorithms

Author : David P. Williamson

Publisher : Cambridge University Press

Page : 327 pages

File Size : 48,25 MB

Release : 2019-09-05

Category : Computers

ISBN : 1316946665

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Book Description

Network flow theory has been used across a number of disciplines, including theoretical computer science, operations research, and discrete math, to model not only problems in the transportation of goods and information, but also a wide range of applications from image segmentation problems in computer vision to deciding when a baseball team has been eliminated from contention. This graduate text and reference presents a succinct, unified view of a wide variety of efficient combinatorial algorithms for network flow problems, including many results not found in other books. It covers maximum flows, minimum-cost flows, generalized flows, multicommodity flows, and global minimum cuts and also presents recent work on computing electrical flows along with recent applications of these flows to classical problems in network flow theory.



Algorithmic Aspects of Flows in Networks

Author : Günther Ruhe

Publisher : Springer Science & Business Media

Page : 212 pages

File Size : 28,80 MB

Release : 2012-12-06

Category : Computers

ISBN : 9401134448

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Book Description

FEt moi ... sifavait sucommenten rcvenir, One service mathematics has rendered the jen'yseraispointall, : human race. It hasput rommon senseback JulesVerne whereit belongs, on the topmost shelf next tothedustycanisterlabelled'discardednon Theseriesis divergent; thereforewemaybe sense'. ahletodosomethingwithit. EricT. Bell O. Heaviside Mathematicsisatoolforthought. Ahighlynecessarytoolinaworldwherebothfeedbackandnon linearitiesabound. Similarly, allkindsofpartsofmathematicsserveastoolsforotherpartsandfor othersciences. Applyinga simplerewritingrule to thequoteon theright aboveonefinds suchstatementsas: 'One service topology hasrenderedmathematicalphysics ... '; 'Oneservicelogichasrenderedcom puterscience ... ';'Oneservicecategorytheoryhasrenderedmathematics ... '. Allarguablytrue. And allstatementsobtainablethiswayformpartoftheraisond'etreofthisseries. This series, Mathematics and Its Applications, started in 1977. Now that over one hundred volumeshaveappeareditseemsopportunetoreexamineitsscope. AtthetimeIwrote "Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the 'tree' of knowledge of mathematics and related fields does not grow only by puttingforth new branches. It also happens, quiteoften in fact, that branches which were thought to becompletely disparatearesuddenly seento berelated. Further, thekindandlevelofsophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially)in regionaland theoretical economics; algebraic geometryinteractswithphysics; theMinkowskylemma, codingtheoryandthestructure of water meet one another in packing and covering theory; quantum fields, crystal defectsand mathematicalprogrammingprofit from homotopy theory; Liealgebras are relevanttofiltering; andpredictionandelectricalengineeringcanuseSteinspaces. And in addition to this there are such new emerging subdisciplines as 'experimental mathematics', 'CFD', 'completelyintegrablesystems', 'chaos, synergeticsandlarge-scale order', whicharealmostimpossibletofitintotheexistingclassificationschemes. They drawuponwidelydifferentsectionsofmathematics." By andlarge, all this stillapplies today. Itis still truethatatfirst sightmathematicsseemsrather fragmented and that to find, see, and exploit the deeper underlying interrelations more effort is neededandsoarebooks thatcanhelp mathematiciansand scientistsdoso. Accordingly MIA will continuetotry tomakesuchbooksavailable. If anything, the description I gave in 1977 is now an understatement



Network Flows

Author : Ravindra K. Ahuja

Publisher : Andesite Press

Page : pages

File Size : 16,9 MB

Release : 2015-08-08

Category :

ISBN : 9781297491764

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Book Description

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.



Algorithmic Aspects of Graph Connectivity

Author : Hiroshi Nagamochi

Publisher : Cambridge University Press

Page : 391 pages

File Size : 49,45 MB

Release : 2019-05-16

Category : Computers

ISBN : 9781108735490

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Book Description

Algorithmic Aspects of Graph Connectivity is the first comprehensive book on this central notion in graph and network theory, emphasizing its algorithmic aspects. Because of its wide applications in the fields of communication, transportation, and production, graph connectivity has made tremendous algorithmic progress under the influence of the theory of complexity and algorithms in modern computer science. The book contains various definitions of connectivity, including edge-connectivity and vertex-connectivity, and their ramifications, as well as related topics such as flows and cuts. The authors comprehensively discuss new concepts and algorithms that allow for quicker and more efficient computing, such as maximum adjacency ordering of vertices. Covering both basic definitions and advanced topics, this book can be used as a textbook in graduate courses in mathematical sciences, such as discrete mathematics, combinatorics, and operations research, and as a reference book for specialists in discrete mathematics and its applications.



Graphs, Networks and Algorithms

Author : Dieter Jungnickel

Publisher : Springer Science & Business Media

Page : 597 pages

File Size : 16,27 MB

Release : 2013-06-29

Category : Mathematics

ISBN : 3662038226

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Book Description

Revised throughout Includes new chapters on the network simplex algorithm and a section on the five color theorem Recent developments are discussed



Data Structures and Network Algorithms

Author : Robert Endre Tarjan

Publisher : SIAM

Page : 138 pages

File Size : 21,6 MB

Release : 1983-01-01

Category : Technology & Engineering

ISBN : 9781611970265

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Book Description

There has been an explosive growth in the field of combinatorial algorithms. These algorithms depend not only on results in combinatorics and especially in graph theory, but also on the development of new data structures and new techniques for analyzing algorithms. Four classical problems in network optimization are covered in detail, including a development of the data structures they use and an analysis of their running time. Data Structures and Network Algorithms attempts to provide the reader with both a practical understanding of the algorithms, described to facilitate their easy implementation, and an appreciation of the depth and beauty of the field of graph algorithms.



Network Optimization Problems: Algorithms, Applications And Complexity

Author : Ding-zhu Du

Publisher : World Scientific

Page : 417 pages

File Size : 46,89 MB

Release : 1993-04-27

Category :

ISBN : 9814504580

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Book Description

In the past few decades, there has been a large amount of work on algorithms for linear network flow problems, special classes of network problems such as assignment problems (linear and quadratic), Steiner tree problem, topology network design and nonconvex cost network flow problems.Network optimization problems find numerous applications in transportation, in communication network design, in production and inventory planning, in facilities location and allocation, and in VLSI design.The purpose of this book is to cover a spectrum of recent developments in network optimization problems, from linear networks to general nonconvex network flow problems./a



Scalable Algorithms for Data and Network Analysis

Author : Shang-Hua Teng

Publisher :

Page : 292 pages

File Size : 44,75 MB

Release : 2016-05-04

Category : Computers

ISBN : 9781680831306

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Book Description

In the age of Big Data, efficient algorithms are in high demand. It is also essential that efficient algorithms should be scalable. This book surveys a family of algorithmic techniques for the design of scalable algorithms. These techniques include local network exploration, advanced sampling, sparsification, and geometric partitioning.



Routing, Flow, and Capacity Design in Communication and Computer Networks

Author : Michal Pioro

Publisher : Elsevier

Page : 795 pages

File Size : 44,41 MB

Release : 2004-07-21

Category : Computers

ISBN : 0080516432

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Book Description

In network design, the gap between theory and practice is woefully broad. This book narrows it, comprehensively and critically examining current network design models and methods. You will learn where mathematical modeling and algorithmic optimization have been under-utilized. At the opposite extreme, you will learn where they tend to fail to contribute to the twin goals of network efficiency and cost-savings. Most of all, you will learn precisely how to tailor theoretical models to make them as useful as possible in practice.Throughout, the authors focus on the traffic demands encountered in the real world of network design. Their generic approach, however, allows problem formulations and solutions to be applied across the board to virtually any type of backbone communication or computer network. For beginners, this book is an excellent introduction. For seasoned professionals, it provides immediate solutions and a strong foundation for further advances in the use of mathematical modeling for network design. - Written by leading researchers with a combined 40 years of industrial and academic network design experience. - Considers the development of design models for different technologies, including TCP/IP, IDN, MPLS, ATM, SONET/SDH, and WDM. - Discusses recent topics such as shortest path routing and fair bandwidth assignment in IP/MPLS networks. - Addresses proper multi-layer modeling across network layers using different technologies—for example, IP over ATM over SONET, IP over WDM, and IDN over SONET. - Covers restoration-oriented design methods that allow recovery from failures of large-capacity transport links and transit nodes. - Presents, at the end of each chapter, exercises useful to both students and practitioners.



Algorithmic Aspects of Wireless Sensor Networks

Author : Sotiris Nikoletseas

Publisher : Springer

Page : 210 pages

File Size : 45,83 MB

Release : 2004-06-22

Category : Computers

ISBN : 3540278206

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Book Description

This volume contains the contributed papers and invited talks presented at the 1stInternationalWorkshoponAlgorithmicAspectsofWirelessSensorNetworks (ALGOSENSORS 2004), which was held July 16, 2004, in Turku, Finland, - located with the 31st International Colloquium on Automata, Languages, and Programming (ICALP 2004). Wireless ad hoc sensor networks have become a very important research subject due to their potential to provide diverse services in numerous appli- tions. The realization of sensor networks requires intensive technical research and development e?orts, especially in power-aware scalable wireless ad hoc c- munications protocols, due to their unusual application requirements and severe constraints. On the other hand, a solid theoretical background seems necessary for sensor networks to achieve their full potential. It is an algorithmic challenge to achieve e?cient and robust realizations of such large, highly dynamic, complex, n- conventional networking environments. Features, including the huge number of sensor devices involved, the severe power, computational and memory limi- tions, their dense deployment and frequent failures, pose new design, analysis and implementation challenges. This event is intended to provide a forum for researchers and practitioners to present their contributions related to all aspects of wireless sensor networks. Topics of interest for ALGOSENSORS 2004 were: – Modeling of speci?c sensor networks. – Methods for ad hoc deployment. – Algorithms for sensor localization and tracking of mobile users. – Dynamic sensor networks. – Hierarchical clustering architectures. – Attribute-based named networks. – Routing: implosion issues and resource management. – Communication protocols. – Media access control in sensor networks. – Simulators for sensor networks.