We prove completeness results for twenty-three problems in semilinear geometry. These results involve semilinear sets given by additive circuits as input data. If arbitrary real co...
We reduce the approximation factor for Vertex Cover to 2 − Θ( 1√ log n ) (instead of the previous 2 − Θ(log log n log n ), obtained by Bar-Yehuda and Even [2], and by Moni...
We consider a scenario where stops are to be placed along an already existing public transportation network in order to improve its attractiveness for the customers. The core probl...
We consider the vertex coloring problem, which may be stated as the problem of minimizing the number of labels that can be assigned to the vertices of a graph G such that each ver...
Given A := {a1, . . . , am} Rn, we consider the problem of reducing the input set for the computation of the minimum enclosing ball of A. In this note, given an approximate soluti...