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ISAAC
2003
Springer
75views Algorithms» more  ISAAC 2003»
15 years 9 months ago
On the Existence and Determination of Satisfactory Partitions in a Graph
The Satisfactory Partition problem consists in deciding if a given graph has a partition of its vertex set into two nonempty sets V1, V2 such that for each vertex v, if v ∈ Vi th...
Cristina Bazgan, Zsolt Tuza, Daniel Vanderpooten
GD
2006
Springer
15 years 8 months ago
Computing Geometric Minimum-Dilation Graphs Is NP-Hard
We prove that computing a geometric minimum-dilation graph on a given set of points in the plane, using not more than a given number of edges, is an NP-hard problem, no matter if ...
Rolf Klein, Martin Kutz
FOCS
1995
IEEE
15 years 8 months ago
An Approximation Scheme for Planar Graph TSP
We consider the special case of the traveling salesman problem TSP in which the distance metric is the shortest-path metric of a planar unweighted graph. We present a polynomial...
Michelangelo Grigni, Elias Koutsoupias, Christos H...
STACS
1987
Springer
15 years 8 months ago
Graph Isomorphism is in the Low Hierarchy
It is shown that the graph isomorphism problem is located in the low hierarchy in NP. This implies that this problem is not NPcomplete (not even under weaker forms of polynomial-ti...
Uwe Schöning
DISOPT
2006
90views more  DISOPT 2006»
15 years 4 months ago
Tree decompositions of graphs: Saving memory in dynamic programming
We propose an effective heuristic to save memory in dynamic programming on tree decompositions when solving graph optimization problems. The introduced "anchor technique"...
Nadja Betzler, Rolf Niedermeier, Johannes Uhlmann