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<図書>
Polytopes : combinatorics and computation

責任表示 Gil Kalai, Günter M. Ziegler, editors
シリーズ DMV seminar ; Bd. 29
データ種別 図書
出版情報 Basel : Birkhäuser Verlag , c2000
本文言語 英語
大きさ 225 p. : ill ; 24 cm
概要 Questions that arose from linear programming and combinatorial optimization have been a driving force for modern polytope theory, such as the diameter questions motivated by the desire to understand ...he complexity of the simplex algorithm, or the need to study facets for use in cutting plane procedures. In addition, algorithms now provide the means to computationally study polytopes, to compute their parameters such as flag vectors, graphs and volumes, and to construct examples of large complexity. The papers of this volume thus display a wide panorama of connections of polytope theory with other fields. Areas such as discrete and computational geometry, linear and combinatorial optimization, and scientific computing have contributed a combination of questions, ideas, results, algorithms and, finally, computer programs.
Questions that arose from linear programming and combinatorial optimization have been a driving force for modern polytope theory, such as the diameter questions motivated by the desire to understand the complexity of the simplex algorithm, or the need to study facets for use in cutting plane procedures. In addition, algorithms now provide the means to computationally study polytopes, to compute their parameters such as flag vectors, graphs and volumes, and to construct examples of large complexity. The papers of this volume thus display a wide panorama of connections of polytope theory with other fields. Areas such as discrete and computational geometry, linear and combinatorial optimization, and scientific computing have contributed a combination of questions, ideas, results, algorithms and, finally, computer programs.
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所蔵情報


: Basel 理系図3F 数理独自 P 00/POLY/1 2000
023212000005151

書誌詳細

一般注記 Includes references
著者標目 *Kalai, Gil, 1955-
Ziegler, Gunter M
件 名 LCSH:Polytopes
分 類 LCC:QA691
DC21:516.3/5
書誌ID 1001389287
ISBN 3764363517
NCID BA47860185
巻冊次 : Basel ; ISBN:3764363517
: Boston ; ISBN:0817663517
登録日 2009.11.02
更新日 2017.02.18