A Characterization of Testable Hypergraph Properties

@article{Joos2017ACO,
  title={A Characterization of Testable Hypergraph Properties},
  author={Felix Joos and Jaehoon Kim and Daniela K{\"u}hn and Deryk Osthus},
  journal={2017 IEEE 58th Annual Symposium on Foundations of Computer Science (FOCS)},
  year={2017},
  pages={859-867}
}
  • Felix Joos, Jaehoon Kim, D. Osthus
  • Published 11 July 2017
  • Mathematics
  • 2017 IEEE 58th Annual Symposium on Foundations of Computer Science (FOCS)
We provide a combinatorial characterization of all testable properties of k-graphs (i.e. k-uniform hypergraphs). Here, a k-graph property P is testable if there is a randomized algorithm which makes a bounded number of edge queries and distinguishes with probability 2/3 between k-graphs that satisfy P and those that are far from satisfying P. For the 2-graph case, such a combinatorial characterization was obtained by Alon, Fischer, Newman and Shapira. Our results for the k-graph setting are in… 

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