 Abstract : 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 quickly distinguishes with high probability 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. This is joint work with Felix Joos, Deryk Osthus and Daniela Kühn. |
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