Given an integer h, a graph G = (V, E) with arbitrary positive edge capacities and k pairs of vertices (s1, t1), (s2, t2), . . . , (sk, tk), called terminals, an h-route cut is a ...
The terminal Steiner tree problem (TST) consists of finding a minimum cost Steiner tree where each terminal is a leaf. We describe a factor 2ρ−ρ/(3ρ−2) approximation algor...
In the minimum path coloring problem, we are given a list of pairs of vertices of a graph. We are asked to connect each pair by a colored path. Paths of the same color must be edg...
We present a simple O(m+n6 / 12 ) time (1+ )-approximation algorithm for the problem of cutting a convex n-gon out of a convex m-gon with line cuts of minimum total cutting length....
Intensity modulated radiation therapy (IMRT) is one of the most effective modalities for modern cancer treatment. The key to successful IMRT treatment hinges on the delivery of a...