A rectilinear Steiner arborescence connects points in the Euclidean plane’s first quadrant and the origin with directed rectilinear edges from the origin up and to the right. Th...
The objective of this paper is to characterize classes of problems for which a greedy algorithm finds solutions provably close to optimum. To that end, we introduce the notion of k...
Greedy algorithms are simple, but their relative power is not well understood. The priority framework [5] captures a key notion of “greediness” in the sense that it processes (...
We consider a fault tolerant version of the metric facility location problem in which every city, j, is required to be connected to rj facilities. We give the first non-trivial ap...
In this paper, we consider Steiner forest and its generalizations, prize-collecting Steiner forest and k-Steiner forest, when the vertices of the input graph are points in the Euc...