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Testing subgraphs in directed graphs

2003
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Proceedings of the thirty-fifth ACM symposium on Theory of computing - STOC '03
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Let H be a fixed directed graph on h vertices, let G be a directed graph on n vertices and suppose that at least en 2 edges have to be deleted from it to make it H-free. We show that in this case G contains at least f ðe; HÞn h copies of H: This is proved by establishing a directed version of Szemere´di's regularity lemma, and implies that for every H there is a one-sided error property tester whose query complexity is bounded by a function of e only for testing the property P H of being

doi:10.1145/780542.780644
dblp:conf/stoc/AlonS03
fatcat:yygqqngfdne2pktkac7b3wm22q