35 search results - page 1 / 7 » Approximation Schemes for Steiner Forest on Planar Graphs an... |
STOC
2010
ACM
13 years 9 months ago
2010
ACM
We give the first polynomial-time approximation scheme (PTAS) for the Steiner forest problem on planar graphs and, more generally, on graphs of bounded genus. As a first step, w...
STACS
2009
Springer
13 years 11 months ago
2009
Springer
We present the first polynomial-time approximation schemes (PTASes) for the following subset-connectivity problems in edge-weighted graphs of bounded genus: Steiner tree, low-conn...
ICALP
2009
Springer
14 years 4 months ago
2009
Springer
We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable ap...
SODA
2004
ACM
13 years 6 months ago
2004
ACM
We solve an open problem posed by Eppstein in 1995 [14, 15] and re-enforced by Grohe [16, 17] concerning locally bounded treewidth in minor-closed families of graphs. A graph has ...
WADS
2007
Springer
13 years 10 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...