4 papers
Faster Algorithms for Global Minimum Vertex-Cut in Directed Graphs
Julia Chuzhoy, Ron Mosenzon, Ohad Trabelsi
We study the directed global minimum vertex-cut problem: given a directed vertex-weighted graph , compute a vertex-cut in of minimum value, which is defined to be…
Almost-Optimal Approximation Algorithms for Global Minimum Cut in Directed Graphs
Ron Mosenzon
We develop new -approximation algorithms for finding the global minimum edge-cut in a directed edge-weighted graph, and for finding the global minimum vertex-cut in a direct…
Hardness of Approximation for Shortest Path with Vector Costs
Charlie Carlson, Yury Makarychev, Ron Mosenzon
We obtain hardness of approximation results for the -Shortest Path problem, a variant of the classic Shortest Path problem with vector costs. For every integer $p \in [2,\i…
Exact Flow Sparsification Requires Unbounded Size
Robert Krauthgamer, Ron Mosenzon
Given a large edge-capacitated network and a subset of vertices called terminals, an (exact) flow sparsifier is a small network that preserves (exactly) all multicommo…