Geometric permutations of higher dimensional spheres
โ 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
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
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.