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Titlebook: Discrete Geometry and Optimization; Karoly Bezdek,Antoine Deza,Yinyu Ye Book 2013 Springer International Publishing Switzerland 2013 Carat

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書目名稱Discrete Geometry and Optimization
編輯Karoly Bezdek,Antoine Deza,Yinyu Ye
視頻videohttp://file.papertrans.cn/282/281112/281112.mp4
概述Contains a wide range of open problems, novel results, and state-of-the-art surveys.Presents a snapshot of a rapidly evolving area on the boundary of discrete geometry and optimization.Reflects the br
叢書名稱Fields Institute Communications
圖書封面Titlebook: Discrete Geometry and Optimization;  Karoly Bezdek,Antoine Deza,Yinyu Ye Book 2013 Springer International Publishing Switzerland 2013 Carat
描述.?Optimization has long been a source of both inspiration and applications for geometers, and conversely, discrete and convex geometry have provided the foundations for many optimization techniques, leading to a rich interplay between these subjects. The purpose of the Workshop on Discrete Geometry, the Conference on Discrete Geometry and Optimization, and the Workshop on Optimization, held in September 2011 at the Fields Institute, Toronto, was to further stimulate the interaction between geometers and optimizers. This volume reflects the interplay between these areas. .The inspiring Fejes Tóth Lecture Series, delivered by Thomas Hales of the University of Pittsburgh, exemplified this approach. While these fields have recently witnessed a lot of activity and successes, many questions remain open. For example, Fields medalist Stephen Smale stated that the question of the existence of a strongly polynomial time algorithm for linear optimization is one of the most important unsolved problems at the beginning of the 21st century. The broad range of topics covered in this volume demonstrates the many recent and fruitful connections between different approaches, and features novel resul
出版日期Book 2013
關(guān)鍵詞Carathéodory theorem; Combinatorics; Eigenvalue optimization; Minkowski spaces; SDP relaxation; polyhedra
版次1
doihttps://doi.org/10.1007/978-3-319-00200-2
isbn_softcover978-3-319-03312-9
isbn_ebook978-3-319-00200-2Series ISSN 1069-5265 Series E-ISSN 2194-1564
issn_series 1069-5265
copyrightSpringer International Publishing Switzerland 2013
The information of publication is updating

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Monotone Paths in Planar Convex Subdivisions and Polytopes,there is a path with at least . edges that is monotone in some direction. This bound is the best possible. Consider now a connected subdivision of the plane into . convex faces where exactly . faces are unbounded. Then, there is a path with at least . edges that is monotone in some direction. This b
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,A Further Generalization of the Colourful Carathéodory Theorem,rful Carathéodory theorem asserts that if the origin . is contained in the convex hull of .. for ., then there exists a colourful simplex containing .. The sufficient condition for the existence of a colourful simplex containing . was generalized to . being contained in the convex hull of . for 1≤.<
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