Geometry of Cuts and Metrics

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Release : 2009-11-12
Genre : Mathematics
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Book Rating : 953/5 ( reviews)

Geometry of Cuts and Metrics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry of Cuts and Metrics write by Michel Marie Deza. This book was released on 2009-11-12. Geometry of Cuts and Metrics available in PDF, EPUB and Kindle. Cuts and metrics are well-known objects that arise - independently, but with many deep and fascinating connections - in diverse fields: in graph theory, combinatorial optimization, geometry of numbers, combinatorial matrix theory, statistical physics, VLSI design etc. This book presents a wealth of results, from different mathematical disciplines, in a unified comprehensive manner, and establishes new and old links, which cannot be found elsewhere. It provides a unique and invaluable source for researchers and graduate students. From the Reviews: "This book is definitely a milestone in the literature of integer programming and combinatorial optimization. It draws from the Interdisciplinarity of these fields [...]. With knowledge about the relevant terms, one can enjoy special subsections without being entirely familiar with the rest of the chapter. This makes it not only an interesting research book but even a dictionary. [...] The longer one works with it, the more beautiful it becomes." Optima 56, 1997.

Generalizations Of Finite Metrics And Cuts

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Release : 2016-05-06
Genre : Mathematics
Kind :
Book Rating : 411/5 ( reviews)

Generalizations Of Finite Metrics And Cuts - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Generalizations Of Finite Metrics And Cuts write by Michel-marie Deza. This book was released on 2016-05-06. Generalizations Of Finite Metrics And Cuts available in PDF, EPUB and Kindle. This book introduces oriented version of metrics and cuts and their multidimensional analogues, as well as partial metrics and weighted metrics. It is a follow-up of Geometry of Cuts and Metrics by Deza and Laurent which presents rich theory of classical binary and symmetric objects — metrics and cuts.Many research publications on this subject are devoted to different special aspects of the theory of generalized metrics. However, they are disconnected one from other, often written in different mathematical language, consider the same objects from different points of view without analysis of possible connections, etc. In this book we will construct full theory of main classes of finite generalized metrics and their polyhedral aspects.

Generalizations of Finite Metrics and Cuts

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Release : 2016
Genre : MATHEMATICS
Kind :
Book Rating : 401/5 ( reviews)

Generalizations of Finite Metrics and Cuts - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Generalizations of Finite Metrics and Cuts write by Elena Deza. This book was released on 2016. Generalizations of Finite Metrics and Cuts available in PDF, EPUB and Kindle. "This book introduces oriented version of metrics and cuts and their multidimensional analogues, as well as partial metrics and weighted metrics. It is a follow-up of Geometry of Cuts and Metrics by Deza and Laurent which presents rich theory of classical binary and symmetric objects — metrics and cuts. Many research publications on this subject are devoted to different special aspects of the theory of generalized metrics. However, they are disconnected one from other, often written in different mathematical language, consider the same objects from different points of view without analysis of possible connections, etc. In this book we will construct full theory of main classes of finite generalized metrics and their polyhedral aspects."--

Discrete and Computational Geometry

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Release : 2003-06-29
Genre : Computers
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Book Rating : 381/5 ( reviews)

Discrete and Computational Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete and Computational Geometry write by Jin Akiyama. This book was released on 2003-06-29. Discrete and Computational Geometry available in PDF, EPUB and Kindle. This book constitutes the thoroughly refereed post-proceedings of the Japanese Conference on Discrete Computational Geometry, JCDCG 2001, held in Tokyo, Japan in November 2001. The 35 revised papers presented were carefully reviewed and selected. Among the topics covered are polygons and polyhedrons, divissible dissections, convex polygon packings, symmetric subsets, convex decompositions, graph drawing, graph computations, point sets, approximation, Delauny diagrams, triangulations, chromatic numbers, complexity, layer routing, efficient algorithms, and illumination problems.

Pure Metric Geometry

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Release : 2023-12-23
Genre : Mathematics
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Book Rating : 624/5 ( reviews)

Pure Metric Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Pure Metric Geometry write by Anton Petrunin. This book was released on 2023-12-23. Pure Metric Geometry available in PDF, EPUB and Kindle. This book serves as an introductory asset for learning metric geometry by delivering an in-depth examination of key constructions and providing an analysis of universal spaces, injective spaces, the Gromov-Hausdorff convergence, and ultralimits. This book illustrates basic examples of domestic affairs of metric spaces, this includes Alexandrov geometry, geometric group theory, metric-measure spaces and optimal transport. Researchers in metric geometry will find this book appealing and helpful, in addition to graduate students in mathematics, and advanced undergraduate students in need of an introduction to metric geometry. Any previous knowledge of classical geometry, differential geometry, topology, and real analysis will be useful in understanding the presented topics.