We consider cut games where players want to cut themselves off from different parts of a network. These games arise when players want to secure themselves from areas of potential i...
Given an undirected graph with edge costs and a subset of k ≥ 3 nodes called terminals, a multiway, or k-way, cut is a subset of the edges whose removal disconnects each termina...
David R. Karger, Philip N. Klein, Clifford Stein, ...
In the 0-extension problem, we are given a weighted graph with some nodes marked as terminals and a semimetric on the set of terminals. Our goal is to assign the rest of the nodes ...
It is shown that the minimum cut ratio is within a factor of O(log k) of the maximum concurrent flow for k-commodity flow instances with arbitrary capacities and demands. This im...