Algorithms for the m-center problems: A survey
โ Scribed by Jonathan Halpern; Oded Maimon
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 621 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0377-2217
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper considers the problem of determining whether a set of points can be covered by two discs with centers p and q and common radius r, such that the ratio d(p, q)/r is bounded below by a specified constant, ฮฑ. An O(n 2 log 2 n) algorithm for solving this problem is also presented.
The input to the asymmetric p-center problem consists of an integer p and an n = n distance matrix D defined on a vertex set V of size n, where d gives the i j distance from i to j. The distances are assumed to obey the triangle inequality. For a subset S : V the radius of S is the minimum distance