60 search results - page 3 / 12 » A Polynomial Bound for Untangling Geometric Planar Graphs |
CORR
2010
Springer
14 years 9 months ago
2010
Springer
The disjoint paths problem asks, given an graph G and k + 1 pairs of terminals (s0, t0), . . . , (sk, tk), whether there are k + 1 pairwise disjoint paths P0, . . . , Pk, such tha...
STOC
2010
ACM
15 years 2 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...
GD
2009
Springer
15 years 2 months ago
2009
Springer
A graph G is a support for a hypergraph H = (V, S) if the vertices of G correspond to the vertices of H such that for each hyperedge Si ∈ S the subgraph of G induced by Si is co...
CORR
2008
Springer
14 years 9 months ago
2008
Springer
Reachability and distance computation are known to be NL-complete in general graphs, but within UL co-UL if the graphs are planar. However, finding longest paths is known to be N...
ISAAC
2004
Springer
15 years 2 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...