The neighbourhood function NG(t) of a graph G gives, for each t ∈ N, the number of pairs of nodes x, y such that y is reachable from x in less that t hops. The neighbourhood fun...
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Vectors [Extended Abstract] Pekka Orponen and Satu Elisa Schaeffer Laboratory for Theoretical Computer Science, P.O. Box 5400 FI-02015 TKK Helsinki University of Technology, Finlan...
Distance oracles and graph spanners are excerpts of a graph that allow to compute approximate shortest paths. Here, we consider the situation where it is possible to access the ori...