# 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} }

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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