Theory of Linear and Integer Programming

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Publisher : John Wiley & Sons
ISBN 13 : 9780471982326
Total Pages : 488 pages
Book Rating : 4.9/5 (823 download)

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Book Synopsis Theory of Linear and Integer Programming by : Alexander Schrijver

Download or read book Theory of Linear and Integer Programming written by Alexander Schrijver and published by John Wiley & Sons. This book was released on 1998-06-11 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Linear and Integer Programming Alexander Schrijver Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands This book describes the theory of linear and integer programming and surveys the algorithms for linear and integer programming problems, focusing on complexity analysis. It aims at complementing the more practically oriented books in this field. A special feature is the author's coverage of important recent developments in linear and integer programming. Applications to combinatorial optimization are given, and the author also includes extensive historical surveys and bibliographies. The book is intended for graduate students and researchers in operations research, mathematics and computer science. It will also be of interest to mathematical historians. Contents 1 Introduction and preliminaries; 2 Problems, algorithms, and complexity; 3 Linear algebra and complexity; 4 Theory of lattices and linear diophantine equations; 5 Algorithms for linear diophantine equations; 6 Diophantine approximation and basis reduction; 7 Fundamental concepts and results on polyhedra, linear inequalities, and linear programming; 8 The structure of polyhedra; 9 Polarity, and blocking and anti-blocking polyhedra; 10 Sizes and the theoretical complexity of linear inequalities and linear programming; 11 The simplex method; 12 Primal-dual, elimination, and relaxation methods; 13 Khachiyan's method for linear programming; 14 The ellipsoid method for polyhedra more generally; 15 Further polynomiality results in linear programming; 16 Introduction to integer linear programming; 17 Estimates in integer linear programming; 18 The complexity of integer linear programming; 19 Totally unimodular matrices: fundamental properties and examples; 20 Recognizing total unimodularity; 21 Further theory related to total unimodularity; 22 Integral polyhedra and total dual integrality; 23 Cutting planes; 24 Further methods in integer linear programming; Historical and further notes on integer linear programming; References; Notation index; Author index; Subject index

The LLL Algorithm

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Publisher : Springer Science & Business Media
ISBN 13 : 3642022952
Total Pages : 503 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis The LLL Algorithm by : Phong Q. Nguyen

Download or read book The LLL Algorithm written by Phong Q. Nguyen and published by Springer Science & Business Media. This book was released on 2009-12-02 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to offer a comprehensive view of the LLL algorithm, this text surveys computational aspects of Euclidean lattices and their main applications. It includes many detailed motivations, explanations and examples.

Algorithms and Theory of Computation Handbook, Volume 1

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Publisher : CRC Press
ISBN 13 : 1584888237
Total Pages : 974 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Algorithms and Theory of Computation Handbook, Volume 1 by : Mikhail J. Atallah

Download or read book Algorithms and Theory of Computation Handbook, Volume 1 written by Mikhail J. Atallah and published by CRC Press. This book was released on 2009-11-20 with total page 974 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms and Theory of Computation Handbook, Second Edition: General Concepts and Techniques provides an up-to-date compendium of fundamental computer science topics and techniques. It also illustrates how the topics and techniques come together to deliver efficient solutions to important practical problems. Along with updating and revising many

Algorithms and Theory of Computation Handbook - 2 Volume Set

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Publisher : CRC Press
ISBN 13 : 1439832331
Total Pages : 1904 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Algorithms and Theory of Computation Handbook - 2 Volume Set by : Mikhail J. Atallah

Download or read book Algorithms and Theory of Computation Handbook - 2 Volume Set written by Mikhail J. Atallah and published by CRC Press. This book was released on 2022-05-29 with total page 1904 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms and Theory of Computation Handbook, Second Edition in a two volume set, provides an up-to-date compendium of fundamental computer science topics and techniques. It also illustrates how the topics and techniques come together to deliver efficient solutions to important practical problems. New to the Second Edition: Along with updating and revising many of the existing chapters, this second edition contains more than 20 new chapters. This edition now covers external memory, parameterized, self-stabilizing, and pricing algorithms as well as the theories of algorithmic coding, privacy and anonymity, databases, computational games, and communication networks. It also discusses computational topology, computational number theory, natural language processing, and grid computing and explores applications in intensity-modulated radiation therapy, voting, DNA research, systems biology, and financial derivatives. This best-selling handbook continues to help computer professionals and engineers find significant information on various algorithmic topics. The expert contributors clearly define the terminology, present basic results and techniques, and offer a number of current references to the in-depth literature. They also provide a glimpse of the major research issues concerning the relevant topics

Advances in Economic Theory

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Publisher : CUP Archive
ISBN 13 : 9780521389259
Total Pages : 452 pages
Book Rating : 4.3/5 (892 download)

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Book Synopsis Advances in Economic Theory by : Truman Fassett Bewley

Download or read book Advances in Economic Theory written by Truman Fassett Bewley and published by CUP Archive. This book was released on 1989-07-28 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: These articles should be helpful to anyone with training in economics.

Linear and Integer Programming vs Linear Integration and Counting

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Publisher : Springer Science & Business Media
ISBN 13 : 0387094148
Total Pages : 167 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis Linear and Integer Programming vs Linear Integration and Counting by : Jean-Bernard Lasserre

Download or read book Linear and Integer Programming vs Linear Integration and Counting written by Jean-Bernard Lasserre and published by Springer Science & Business Media. This book was released on 2009-04-21 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book analyzes and compares four closely related problems, namely linear programming, integer programming, linear integration, and linear summation (or counting). The book provides some new insights on duality concepts for integer programs.

LATIN 2010: Theoretical Informatics

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Publisher : Springer
ISBN 13 : 3642122000
Total Pages : 726 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis LATIN 2010: Theoretical Informatics by : Alejandro López-Ortiz

Download or read book LATIN 2010: Theoretical Informatics written by Alejandro López-Ortiz and published by Springer. This book was released on 2010-04-22 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 9th International Latin American Symposium on Theoretical Informatics, LATIN 2010, held in Oaxaca, Mexico; in April 2010. The 56 revised full papers presented together with the abstracts of 4 invited plenary talks were carefully reviewed and selected from 155 submissions. The papers address a variety of topics in theoretical computer science with a certain focus on algorithms, automata theory and formal languages, coding theory and data compression, algorithmic graph theory and combinatorics, complexity theory, computational algebra, computational biology, computational geometry, computational number theory, cryptography, theoretical aspects of databases and information retrieval, data structures, networks, logic in computer science, machine learning, mathematical programming, parallel and distributed computing, pattern matching, quantum computing and random structures.

Progress in Combinatorial Optimization

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Publisher : Academic Press
ISBN 13 : 148326453X
Total Pages : 387 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Progress in Combinatorial Optimization by : William R. Pulleyblank

Download or read book Progress in Combinatorial Optimization written by William R. Pulleyblank and published by Academic Press. This book was released on 2014-05-10 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in Combinatorial Optimization provides information pertinent to the fundamental aspects of combinatorial optimization. This book discusses how to determine whether or not a particular structure exists. Organized into 21 chapters, this book begins with an overview of a polar characterization of facets of polyhedra obtained by lifting facets of lower dimensional polyhedra. This text then discusses how to obtain bounds on the value of the objective in a graph partitioning problem in terms of spectral information about the graph. Other chapters consider the notion of a triangulation of an oriented matroid and show that oriented matroid triangulation yield triangulations of the underlying polytopes. This book discusses as well the selected results and problems on perfect ad imperfect graphs. The final chapter deals with the weighted parity problem for gammoids, which can be reduced to the weighted graphic matching problem. This book is a valuable resource for mathematicians and research workers.

Cryptography and Lattices

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Publisher : Springer
ISBN 13 : 3540446702
Total Pages : 226 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Cryptography and Lattices by : Joseph H. Silverman

Download or read book Cryptography and Lattices written by Joseph H. Silverman and published by Springer. This book was released on 2003-06-30 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the International Conference on Cryptography and Lattices, CaLC 2001, held in Providence, RI, USA in March 2001. The 14 revised full papers presented together with an overview paper were carefully reviewed and selected for inclusion in the book. All current aspects of lattices and lattice reduction in cryptography, both for cryptographic construction and cryptographic analysis, are addressed.

Handbook of Convex Geometry

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Publisher : Elsevier
ISBN 13 : 0080934404
Total Pages : 769 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Handbook of Convex Geometry by : Bozzano G Luisa

Download or read book Handbook of Convex Geometry written by Bozzano G Luisa and published by Elsevier. This book was released on 2014-06-28 with total page 769 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Convex Geometry, Volume B offers a survey of convex geometry and its many ramifications and connections with other fields of mathematics, including convexity, lattices, crystallography, and convex functions. The selection first offers information on the geometry of numbers, lattice points, and packing and covering with convex sets. Discussions focus on packing in non-Euclidean spaces, problems in the Euclidean plane, general convex bodies, computational complexity of lattice point problem, centrally symmetric convex bodies, reduction theory, and lattices and the space of lattices. The text then examines finite packing and covering and tilings, including plane tilings, monohedral tilings, bin packing, and sausage problems. The manuscript takes a look at valuations and dissections, geometric crystallography, convexity and differential geometry, and convex functions. Topics include differentiability, inequalities, uniqueness theorems for convex hypersurfaces, mixed discriminants and mixed volumes, differential geometric characterization of convexity, reduction of quadratic forms, and finite groups of symmetry operations. The selection is a dependable source of data for mathematicians and researchers interested in convex geometry.

Integer Programming and Related Areas

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Publisher : Springer Science & Business Media
ISBN 13 : 3662022842
Total Pages : 504 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Integer Programming and Related Areas by : C. Kastning

Download or read book Integer Programming and Related Areas written by C. Kastning and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integer Prograw~ing is one of the most fascinating and difficult areas in the field of Mathematical Optimization. Due to this fact notable research contributions to Integer Programming have been made in very different branches of mathematics and its applications. Since these publications are scattered over many journals, proceedings volumes, monographs, and working papers, a comprehensive bibliography of all these sources is a helpful tool even for specialists in this field. I initiated this compilation of literature in 1970 at the Institut fur ~konometrie und Operations Research, University of Bonn. Since then many collaborators have contributed to and worked on it. Among them Dipl.-Math. Claus Kastning has done the bulk of the work. With great perseverance and diligence he has gathered all the material and checked it with the original sources. The main aim was to incorporate rare and not easily accessible sources like Russian journals, preprints or unpublished papers. Without the invaluable and dedicated engagement of Claus Kastning the bibliography would never have reached this final version. For this reason he must be considered its responsible editor. As with any other collection this literature list has a subjective viewpoint and may be in some sense incomplete. We have however tried to be as complete as possible. The bibliography contains 4704 different publications by 6767 authors which were classified by 11839 descriptor entries.

Handbooks in Operations Research and Management Science

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Publisher : Elsevier
ISBN 13 : 0080459218
Total Pages : 621 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Handbooks in Operations Research and Management Science by : K. Aardal

Download or read book Handbooks in Operations Research and Management Science written by K. Aardal and published by Elsevier. This book was released on 2005-12-08 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters of this Handbook volume cover nine main topics that are representative of recent theoretical and algorithmic developments in the field. In addition to the nine papers that present the state of the art, there is an article on the early history of the field. The handbook will be a useful reference to experts in the field as well as students and others who want to learn about discrete optimization.

Dissertation Abstracts International

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Publisher :
ISBN 13 :
Total Pages : 756 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2002 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algorithmic Number Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3540676953
Total Pages : 610 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Algorithmic Number Theory by : Wieb Bosma

Download or read book Algorithmic Number Theory written by Wieb Bosma and published by Springer Science & Business Media. This book was released on 2000-06-21 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 4th International Algorithmic Number Theory Symposium, ANTS-IV, held in Leiden, The Netherlands, in July 2000. The book presents 36 contributed papers which have gone through a thorough round of reviewing, selection and revision. Also included are 4 invited survey papers. Among the topics addressed are gcd algorithms, primality, factoring, sieve methods, cryptography, linear algebra, lattices, algebraic number fields, class groups and fields, elliptic curves, polynomials, function fields, and power sums.

7th International Conference on Automated Deduction

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Publisher : Springer
ISBN 13 : 0387347682
Total Pages : 517 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis 7th International Conference on Automated Deduction by : R. E. Shostak

Download or read book 7th International Conference on Automated Deduction written by R. E. Shostak and published by Springer. This book was released on 2011-05-09 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Seventh International Conference on Automated Deduction was held May 14-16, 19S4, in Napa, California. The conference is the primary forum for reporting research in all aspects of automated deduction, including the design, implementation, and applications of theorem-proving systems, knowledge representation and retrieval, program verification, logic programming, formal specification, program synthesis, and related areas. The presented papers include 27 selected by the program committee, an invited keynote address by Jorg Siekmann, and an invited banquet address by Patrick Suppes. Contributions were presented by authors from Canada, France, Spain, the United Kingdom , the United States, and West Germany. The first conference in this series was held a decade earlier in Argonne, Illinois. Following the Argonne conference were meetings in Oberwolfach, West Germany (1976), Cambridge, Massachusetts (1977), Austin, Texas (1979), Les Arcs, France (19S0), and New York, New York (19S2). Program Committee P. Andrews (CMU) W.W. Bledsoe (U. Texas) past chairman L. Henschen (Northwestern) G. Huet (INRIA) D. Loveland (Duke) past chairman R. Milner (Edinburgh) R. Overbeek (Argonne) T. Pietrzykowski (Acadia) D. Plaisted (U. Illinois) V. Pratt (Stanford) R. Shostak (SRI) chairman J. Siekmann (U. Kaiserslautern) R. Waldinger (SRI) Local Arrangements R. Schwartz (SRI) iv CONTENTS Monday Morning Universal Unification (Keynote Address) Jorg H. Siekmann (FRG) .

Advances in Cryptology - EUROCRYPT '94

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540601760
Total Pages : 506 pages
Book Rating : 4.6/5 (17 download)

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Book Synopsis Advances in Cryptology - EUROCRYPT '94 by : Alfredo DeSantis

Download or read book Advances in Cryptology - EUROCRYPT '94 written by Alfredo DeSantis and published by Springer Science & Business Media. This book was released on 1995-08-09 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is concerned with the individual steps in the pathway of retrovirus morphogenesis and maturation starting at the point where the components of the virion have been synthesized within the infected cell and ending once the infectious virion has been released from this cell. An introductory chapter provides a comparative description of the structure and morphology of infectious viruses. A novel feature is the organization according to individual steps in the pathway of virus particle formation rather than according to individual viruses or virus groups as has been done in most previous reviews. This novel concept should allow a comparative discussion of the similarities and differences within this complex virus family regarding the specific aspects of formation of an infectious virion.

An Algorithmic Theory of Numbers, Graphs and Convexity

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Publisher : SIAM
ISBN 13 : 0898712033
Total Pages : 95 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis An Algorithmic Theory of Numbers, Graphs and Convexity by : Laszlo Lovasz

Download or read book An Algorithmic Theory of Numbers, Graphs and Convexity written by Laszlo Lovasz and published by SIAM. This book was released on 1987-01-01 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies two algorithms in detail: the ellipsoid method and the simultaneous diophantine approximation method.