31 search results - page 1 / 7 » A Polynomial-Time Approximation Scheme for Weighted Planar G... |
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...
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...
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...
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...
ISAAC
2004
Springer
13 years 10 months ago
2004
Springer
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...