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...
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 ...
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...
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...
We propose an effective heuristic to save memory in dynamic programming on tree decompositions when solving graph optimization problems. The introduced "anchor technique"...