Near optimal algorithms for finding minimum Steiner trees on random graphs
Proceedings of the 12th symposium on Mathematical foundations of computer science 1986
A spectral technique for coloring random 3-colorable graphs (preliminary version)
STOC '94 Proceedings of the twenty-sixth annual ACM symposium on Theory of computing
Coloring random and semi-random k-colorable graphs
Journal of Algorithms
Go with the winners for graph bisection
Proceedings of the ninth annual ACM-SIAM symposium on Discrete algorithms
Approximation alogorithms for the maximum acyclic subgraph problem
SODA '90 Proceedings of the first annual ACM-SIAM symposium on Discrete algorithms
Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms
Journal of the ACM (JACM)
Finding and certifying a large hidden clique in a semirandom graph
Random Structures & Algorithms
Divide-and-conquer approximation algorithms via spreading metrics
Journal of the ACM (JACM)
Algorithms for Graph Partitioning on the Planted Partition Model
RANDOM-APPROX '99 Proceedings of the Third International Workshop on Approximation Algorithms for Combinatorial Optimization Problems: Randomization, Approximation, and Combinatorial Algorithms and Techniques
Heuristics for Finding Large Independent Sets, with Applications to Coloring Semi-random Graphs
FOCS '98 Proceedings of the 39th Annual Symposium on Foundations of Computer Science
Spectral Partitioning of Random Graphs
FOCS '01 Proceedings of the 42nd IEEE symposium on Foundations of Computer Science
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
Ordering by weighted number of wins gives a good ranking for weighted tournaments
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
A spectral heuristic for bisecting random graphs
Random Structures & Algorithms
Proceedings of the thirty-ninth annual ACM symposium on Theory of computing
On the Advantage over Random for Maximum Acyclic Subgraph
FOCS '07 Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science
Noisy sorting without resampling
Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
Quadratic forms on graphs and their applications
Quadratic forms on graphs and their applications
Fast solution of some random NP-hard problems
SFCS '86 Proceedings of the 27th Annual Symposium on Foundations of Computer Science
Eigenvalues and graph bisection: An average-case analysis
SFCS '87 Proceedings of the 28th Annual Symposium on Foundations of Computer Science
Simulated annealing for graph bisection
SFCS '93 Proceedings of the 1993 IEEE 34th Annual Foundations of Computer Science
Aggregating inconsistent information: Ranking and clustering
Journal of the ACM (JACM)
Beating the Random Ordering is Hard: Inapproximability of Maximum Acyclic Subgraph
FOCS '08 Proceedings of the 2008 49th Annual IEEE Symposium on Foundations of Computer Science
Detecting high log-densities: an O(n¼) approximation for densest k-subgraph
Proceedings of the forty-second ACM symposium on Theory of computing
Correlation clustering with noisy input
SODA '10 Proceedings of the twenty-first annual ACM-SIAM symposium on Discrete Algorithms
FOCS '11 Proceedings of the 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science
Approximation algorithms for semi-random partitioning problems
STOC '12 Proceedings of the forty-fourth annual ACM symposium on Theory of computing
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In this paper, we propose two semi-random models for the Minimum Feedback Arc Set Problem and present approximation algorithms for them. In the first model, which we call the Random Edge Flipping model, an instance is generated as follows. We start with an arbitrary acyclic directed graph and then randomly flip its edges (the adversary may later un-flip some of them). In the second model, which we call the Random Backward Edge model, again we start with an arbitrary acyclic graph but now add new random backward edges (the adversary may delete some of them). For the first model, we give an approximation algorithm that finds a solution of cost (1+ δ) OPT + n polylog n, where OPT is the cost of the optimal solution. For the second model, we give an approximation algorithm that finds a solution of cost O(planted) + n polylog n, where planted is the cost of the planted solution. Additionally, we present an approximation algorithm for semi-random instances of Minimum Directed Balanced Cut.