8 search results - page 1 / 2 » Finding Steiner Forests in Planar Graphs |
SODA
1990
ACM
13 years 5 months ago
1990
ACM
Given an unweighted planar graph G together with nets of terminals, our problem is to find a Steiner forest, i.e., vertex-disjoint trees, each of which interconnects all the termin...
ICALP
2009
Springer
14 years 5 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...
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...
COCOA
2008
Springer
13 years 6 months ago
2008
Springer
This paper deals with approximation algorithms for the prize collecting generalized Steiner forest problem, defined as follows. The input is an undirected graph G = (V, E), a colle...
STOC
2006
ACM
14 years 5 months ago
2006
ACM
Let > 0 be a constant. For any edge-weighted planar graph G and a subset S of nodes of G, there is a subgraph H of G of weight a constant times that of the minimum Steiner tree...