The Number of Directions Determined by Points in the Three-Dimensional Euclidean Space
β Scribed by Blokhuis; Seress
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 47 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0179-5376
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π SIMILAR VOLUMES
In this paper the number of directions determined by a set of q&n points of AG(2, q) is studied. To such a set we associate a curve of degree n and show that its linear components correspond to points that can be added to the set without changing the set of determined directions. The existence of li
Scott posed the problem of determining the minimum number of directions determined by n points which are not all collinear in the plane. We consider a generalization of this problem for oriented marroids. We prove the following theorem: Let M denote an oriented matroid of rank 3. Suppose M has a mod