Cut problems and their application to divide-and-conquer
Approximation algorithms for NP-hard problems
Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms
Journal of the ACM (JACM)
Improved results for directed multicut
SODA '03 Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms
Approximating Directed Multicuts
FOCS '01 Proceedings of the 42nd IEEE symposium on Foundations of Computer Science
Graph decomposition and a greedy algorithm for edge-disjoint paths
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
Expander flows, geometric embeddings and graph partitioning
STOC '04 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
O(√log n) approximation algorithms for min UnCut, min 2CNF deletion, and directed cut problems
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
Directed metrics and directed graph partitioning problems
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
Oblivious routing on node-capacitated and directed graphs
ACM Transactions on Algorithms (TALG)
Tractable Hypergraph Properties for Constraint Satisfaction and Conjunctive Queries
Journal of the ACM (JACM)
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We give an O(n)-approximation algorithm for the Sparsest Cut Problem on directed graphs. A naive reduction from Sparsest Cut to Minimum Multicut would only give an approximation ratio of O(nlogD), where D is the sum of the demands. We obtain the improvement using a novel LP-rounding method for fractional Sparsest Cut, the dual of Maximum Concurrent Flow.