60 search results - page 6 / 12 » A Polynomial Bound for Untangling Geometric Planar Graphs |
FCT
2009
Springer
15 years 1 months ago
2009
Springer
We show that the reachability problem for directed graphs that are either K3,3-free or K5-free is in unambiguous log-space, UL coUL. This significantly extends the result of Bour...
COMPGEOM
2006
ACM
15 years 3 months ago
2006
ACM
Embedding metrics into constant-dimensional geometric spaces, such as the Euclidean plane, is relatively poorly understood. Motivated by applications in visualization, ad-hoc netw...
JGT
2007
14 years 9 months ago
2007
It is known that for every integer k ≥ 4, each k-map graph with n vertices has at most kn − 2k edges. Previously, it was open whether this bound is tight or not. We show that ...
ESA
2005
Springer
15 years 3 months ago
2005
Springer
Abstract. We present new approximation schemes for various classical problems of finding the minimum-weight spanning subgraph in edge-weighted undirected planar graphs that are re...
FOCS
2009
IEEE
15 years 4 months ago
2009
IEEE
Polynomial time preprocessing to reduce instance size is one of the most commonly deployed heuristics to tackle computationally hard problems. In a parameterized problem, every in...