Topics on line segments and polygons
โ Scribed by Kiyoshi Hosono; Masatsugu Urabe; Mamoru Watanabe
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 217 KB
- Volume
- 151
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
Let S be a set of pairwise disjoint line segments in the plane. Consider the figure F (polygon, tree or path) whose every edge goes through endpoints of elements in S as many as possible, where F does not intersect itself and any element of S. We construct some figures under the preceding conditions.
๐ SIMILAR VOLUMES
Let F be a family of n convex sets in the plane. A set of light sources S illuminates F if every point on the boundary of each element of F is visible from at least one element in S. We prove that if F is a family of n line segments, n >/11, then [-2n/3 7 light sources are always sufficient to illum