STOC Conference 2007 Conference Paper
Improved approximation for directed cut problems
- Amit Agarwal
- Noga Alon
- Moses Charikar
We present improved approximation algorithms for directed multicutand directed sparsest cut. The current best known approximationratio for these problems is O(n 1/2 ). We obtain an Õ(n 11/23 )-approximation. Our algorithm works with thenatural LP relaxation used in prior work. We use a randomized roundingalgorithm with a more sophisticated charging scheme and analysis toobtain our improvement. This also implies a Õ(n 11/23 ) upper bound on the ratio between the maximum multicommodity flowand minimum multicut in directed graphs.