Discrete geometry : in honor of W. Kuperberg's 60th Birthday
著者
書誌事項
Discrete geometry : in honor of W. Kuperberg's 60th Birthday
(Monographs and textbooks in pure and applied mathematics, v. 253)
Marcel Dekker, c2003
- : hbk
大学図書館所蔵 全33件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
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注記
Includes bibliographies and index
内容説明・目次
内容説明
Celebrating the work of Professor W. Kuperberg, this reference explores packing and covering theory, tilings, combinatorial and computational geometry, and convexity, featuring an extensive collection of problems compiled at the Discrete Geometry Special Session of the American Mathematical Society in New Orleans, Louisiana. Discrete Geometry analyzes packings and coverings with congruent convex bodies , arrangements on the sphere, line transversals, Euclidean and spherical tilings, geometric graphs, polygons and polyhedra, and fixing systems for convex figures. This text also offers research and contributions from more than 50 esteemed international authorities, making it a valuable addition to any mathematical library.
目次
- Transversal lines to lines and intervals, Jorge L. Arocha, Javier Bracho, and Luis Montejano
- on a shortest path problem of G. Fejes, Toth Donald R. Baggett and Andras Bezdek
- a short survey of (r,q)-structures, Vojtech Balint
- lattice points on the boundary of the integer hull, Imre Barany and Karoly Boroczky, Jr
- the Erdos-Szekeres problem for planar points in arbitrary position, Tibor Bisztriczky and Gabor Fejes Toth, separation in totally-sewn 4-polytopes, Tibor Bisztriczky and Deborah Oliveros, on a class of equifacetted polytopes, Gerd Blind and Roswitha Blind
- chessboard Ramsey numbers, Jens-P. Bode, Heiko Harborth, and Stefan Krause
- maximal primitive fixing systems for convex figures, Vladimir Boltyanski and Hernan Gonzalez-Aguilar
- the Newton-Gregory problem revisited, Karoly Boroczky, arrangements of 13 points on a sphere Karoly Boroczky and Laszlo Szabo
- on point sets without k collinear points, Peter Brass
- the Beckman-Quarles theorem for rational d-spaces, d even and d> 6, Robert Connelly and Joseph Zaks
- edge-antipodal convex polytopes - a proof of Talata's conjecture, Balazs Csikos
- single-split tilings of the sphere with right triangles, Robert J. MacG. Dawson
- vertex-unfoldings of simplicial manifolds, Erik D. Demaine, David Eppstein, Jeff Erickson, George W. Hart, and Joseph O'Rourke
- view-obstruction through trajectories of co-dimension three Vishwa C. Dumir and Rajinder J. Hans-Gill
- fat 4-polytopes and fatter 3-spheres, David Eppstein, Greg Kuperberg, and Gunter M. Ziegler
- arbitrarily large neighbourly families of congruent symmetric convex 3-polytopes, Jeff Erickson and Scott Kim
- on the non-solidity of some packings and coverings with circles, August Florian and Aladar Heppes
- on the mth Petty numbers of normed spaces Karoly Bezdek, Marton Naszodi and Balazs Visy
- cubic polyhedra, Chaim Goodman-Strauss and John M. Sullivan
- new uniform polyhedra, Branko Grunbaum
- on the existence of a convex polygon with a specified number of interior points, Kiyoshi Hosono, Gyula Karolyi and Masatsugu Urabe
- on-line 2-adic covering of the unit square by boxes, Janusz Januszewski and Marek Lassak
- an example of a stable, even order quadrangle which is determined by its angle function, Janos Kincses
- sets with a unique extension to a set of constant width, Marton Naszodi and Balazs Visy
- the number of simplices embracing the origin, Janos Pach and Mario Szegedy
- Helly-type theorems on definite supporting lines for k-disjoint families of convex bodies in the plane, Sorin Revenko and Valeriu Soltan
- combinatorial aperiodicity of polyhedral prototiles, Egon Schulte
- sequences of smoothed polygons, G.C. Shephard
- on a packing inequality, Graham, Witsenhausen and Zassenhaus, Jorg M. Wills
- covering a triangle with homothetic copies, Zoltan Furedi
- open problems, Andras Bezdek.
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