In this paper, we give a O(log copt)-approximation algorithm for the point guard problem where copt is the optimal number of guards. Our algorithm runs in time polynomial in n, the...
Ajay Deshpande, Taejung Kim, Erik D. Demaine, Sanj...
We consider the Asymmetric Traveling Salesman problem for costs satisfying the triangle inequality. We derive a randomized algorithm which delivers a solution within a factor O(lo...
Arash Asadpour, Michel X. Goemans, Aleksander Madr...
We consider the Asymmetric Traveling Salesman problem for costs satisfying the triangle inequality. We derive a randomized algorithm which delivers a solution within a factor O(lo...
Arash Asadpour, Michel X. Goemans, Aleksander Madr...
We study integrality gaps and approximability of two closely related problems on directed graphs. Given a set V of n nodes in an underlying asymmetric metric and two specified nod...
Zachary Friggstad, Mohammad R. Salavatipour, Zoya ...
We consider two natural generalizations of the Asymmetric Traveling Salesman problem: the k-Stroll and the k-Tour problems. The input to the k-Stroll problem is a directed n-verte...