We show that it is not possible to approximate the minimum Steiner tree problem within 1 + 1 162 unless RP = NP. The currently best known lower bound is 1 + 1 400. The reduction i...
The Covering Steiner problem is a common generalization of the k-MST and Group Steiner problems. An instance of the Covering Steiner problem consists of an undirected graph with ed...
The Steiner tree problem in weighted graphs seeks a minimum weight connected subgraph containing a given subset of the vertices terminals. We present a new polynomial-time heurist...
In the Euclidean group Traveling Salesman Problem (TSP), we are given a set of points P in the plane and a set of m connected regions, each containing at least one point of P. We w...
Khaled M. Elbassioni, Aleksei V. Fishkin, Nabil H....