36 search results - page 1 / 8 » On the Optimality of Planar and Geometric Approximation Sche... |
FOCS
2007
IEEE
13 years 11 months ago
2007
IEEE
We show for several planar and geometric problems that the best known approximation schemes are essentially optimal with respect to the dependence on ǫ. For example, we show that...
SIAMCOMP
2008
13 years 4 months ago
2008
We give an algorithm requiring O(c1/2 n) time to find an -optimal traveling salesman tour in the shortest-path metric defined by an undirected planar graph with nonnegative edgele...
WADS
2007
Springer
13 years 11 months ago
2007
Springer
We present a polynomial-time approximation scheme (PTAS) for the Steiner tree problem with polygonal obstacles in the plane with running time O(n log2 n), where n denotes the numb...
SODA
1998
ACM
13 years 6 months ago
1998
ACM
Given a planar graph on n nodes with costs weights on its edges, de ne the distance between nodes i and j as the length of the shortest path between i and j. Consider this as an i...
APPROX
2005
Springer
13 years 10 months ago
2005
Springer
Abstract. In this paper we introduce a new technique for approximation schemes for geometrical optimization problems. As an example problem, we consider the following variant of th...