Testability and repair of hereditary hypergraph properties

@article{Austin2008TestabilityAR,
  title={Testability and repair of hereditary hypergraph properties},
  author={Tim Austin and Terence Tao},
  journal={Random Struct. Algorithms},
  year={2008},
  volume={36},
  pages={373-463}
}
  • Tim Austin, Terence Tao
  • Published in Random Struct. Algorithms 2008
  • Mathematics, Computer Science
  • Recent works of Alon-Shapira and R\"odl-Schacht have demonstrated that every hereditary property of undirected graphs or hypergraphs is testable with one-sided error; informally, this means that if a graph or hypergraph satisfies that property "locally" with sufficiently high probability, then it can be perturbed (or "repaired") into a graph or hypergraph which satisfies that property "globally". In this paper we make some refinements to these results, some of which may be surprising. In the… CONTINUE READING

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