Given a forest F = (V, E) and a positive integer D, we consider the problem of finding a minimum number of new edges E such that in the augmented graph H = (V, E∪E ) any pair of...
We show that there is no log log M log log log M -approximation for the undirected congestion minimization problem unless NP ZPTIME(npolylog n ), where M is the size of the grap...
We present a systematic study of approximation algorithms for the maximum weight matching problem. This includes a new algorithm which provides the simple greedy method with a rece...
In this paper, we consider variants of the traveling salesman problem with precedence constraints. We characterize hard input instances for Christofides' algorithm and Hoogeve...