Geometric Embeddings Geometric Algorithms And Combinatorial Optimization

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Geometric Embeddings Geometric Algorithms And Combinatorial Optimization

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Author : James Russell Lee
language : en
Publisher:
Release Date : 2006

Geometric Embeddings Geometric Algorithms And Combinatorial Optimization written by James Russell Lee and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.

The present thesis is divided into two parts which address questions of both types (i.e. combinatorial data and geometric data, respectively), leading to new algorithms for a variety of well-known combinatorial problems, new connections between geometry and computer science, and new geometric and analytic information about some classical mathematical objects.

Geometric Algorithms And Combinatorial Optimization

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Author : Martin Grötschel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Geometric Algorithms And Combinatorial Optimization written by Martin Grötschel 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 2012-12-06 with Mathematics categories.

Since the publication of the first edition of our book, geometric algorithms and combinatorial optimization have kept growing at the same fast pace as before. Nevertheless, we do not feel that the ongoing research has made this book outdated. Rather, it seems that many of the new results build on the models, algorithms, and theorems presented here. For instance, the celebrated Dyer-Frieze-Kannan algorithm for approximating the volume of a convex body is based on the oracle model of convex bodies and uses the ellipsoid method as a preprocessing technique. The polynomial time equivalence of optimization, separation, and membership has become a commonly employed tool in the study of the complexity of combinatorial optimization problems and in the newly developing field of computational convexity. Implementations of the basis reduction algorithm can be found in various computer algebra software systems. On the other hand, several of the open problems discussed in the first edition are still unsolved. For example, there are still no combinatorial polynomial time algorithms known for minimizing a submodular function or finding a maximum clique in a perfect graph. Moreover, despite the success of the interior point methods for the solution of explicitly given linear programs there is still no method known that solves implicitly given linear programs, such as those described in this book, and that is both practically and theoretically efficient. In particular, it is not known how to adapt interior point methods to such linear programs.

Dissertation Abstracts International

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Author :
language : en
Publisher:
Release Date : 2008

Dissertation Abstracts International written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Dissertations, Academic categories.

Journal Of The Acm

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Author :
language : en
Publisher:
Release Date : 2002

Journal Of The Acm written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Computers categories.

Combinatorial Geometry

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Author : János Pach
language : en
Publisher: Wiley-Interscience
Release Date : 1995-10-20

Combinatorial Geometry written by János Pach and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-10-20 with Mathematics categories.

How many objects of a given shape and size can be packed into a large box of fixed volume? Can one plant n trees in an orchard, not all along the same line, so that every line determined by two trees will pass through a third? These questions, raised by Hilbert and Sylvester roughly one hundred years ago, have generated a lot of interest among professional and amateur mathematicians and scientists. They have led to the birth of a new mathematical discipline with close ties to classical geometry and number theory, and with many applications in coding theory, potential theory, computational geometry, computer graphics, robotics , etc. Combinatorial Geometry offers a self-contained introduction to this rapidly developing field, where combinatorial and probabilistic (counting) methods play a crucial role. This book has grown out of the material of both undergraduate and graduate courses in mathematics and computer science given by János Pach at the Courant Institute of Mathematical Sciences, New York University. Divided into two parts— Arrangements of Convex Sets and Arrangements of Points and Lines—it presents and explains some of the most important and ingenious results in combinatorial geometry, including: Dowker’s theorems Fáry’s theorem Fejes Tóth’ stheorems Methods of Blichtfeldt and Rogers Minkowski—Hlawka theorem Koebe’s representation theorem Lipton—Tarjan separator theorem Theorems of Erd???s, Turán, and Ramsey Szemerédi’s regularity lemma Szemerédi—Trotter theorems Methods of Clarkson, Edelsbrunner, Guibas, Sharir, and Welzl Counterexample to Borsuk’s conjecture

Proceedings Of The Acm Symposium On Theory Of Computing

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Author :
language : en
Publisher:
Release Date : 2007

Proceedings Of The Acm Symposium On Theory Of Computing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Formal languages categories.

Proceedings Of The 34th Annual Acm Symposium On The Theory Of Computing

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Author : John H. Reif
language : en
Publisher:
Release Date : 2002

Proceedings Of The 34th Annual Acm Symposium On The Theory Of Computing written by John H. Reif and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Computable complexity categories.

Focs 2004

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Author :
language : en
Publisher: Institute of Electrical & Electronics Engineers(IEEE)
Release Date : 2004

Focs 2004 written by and has been published by Institute of Electrical & Electronics Engineers(IEEE) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computers categories.

Annotation The proceedings covers computational complexity, cryptography, parallel and distributed computing, machine learning, logic, coding theory, theoretical databases, information technology, networks, quantum computing, and much more.

Journal Of The Association For Computing Machinery

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Author :
language : en
Publisher:
Release Date : 1997

Journal Of The Association For Computing Machinery written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.

Covers all areas of computer science, including: artificial intelligence; complexity of algorithms; computational geometry; computing in technology and the sciences; computer architecture; cryptology; database systems, networks, and digital libraries; data structures and analysis of algorithms; database theory; decisions, uncertainty, and computation; distributed computing; formal languages and complexity theory; graph theory and combinatorial structures; logic in computer science; machine learning and computational learning theory; numerical computation; operations research; parallel algorithms; parallel computation; programming languages and methodology; and scientific computing.

Approximation Algorithms For Combinatorial Optimization

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Author :
language : en
Publisher:
Release Date : 2004

Approximation Algorithms For Combinatorial Optimization written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Approximation theory categories.