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Geometric permutations of higher dimensional spheres

โœ Scribed by Yingping Huang; Jinhui Xu; Danny Z. Chen


Book ID
108100921
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
289 KB
Volume
29
Category
Article
ISSN
0925-7721

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๐Ÿ“œ SIMILAR VOLUMES


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We define a class of hypercubic (shape n d ) arrays that in a certain sense are d-dimensional analogs of permutation matrices with our motivation from algebraic geometry. Various characterizations of permutation arrays are proved, an efficient generation algorithm is given, and enumerative questions

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โœ M. Katchalski; T. Lewis; A. Liu ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 565 KB

The object of this paper is to study how many essentially different common transversals a family of convex sets on the plane can have. In particular we consider the case where the family consists of pairwise disjoint translates of a single convex set.