About: Counting lemma

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The counting lemmas this article discusses are statements in combinatorics and graph theory. The first one extracts information from -regular pairs of subsets of vertices in a graph , in order to guarantee patterns in the entire graph; more explicitly, these patterns correspond to the count of copies of a certain graph in . The second counting lemma provides a similar yet more general notion on the space of graphons, in which a scalar of the cut distance between two graphs

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  • The counting lemmas this article discusses are statements in combinatorics and graph theory. The first one extracts information from -regular pairs of subsets of vertices in a graph , in order to guarantee patterns in the entire graph; more explicitly, these patterns correspond to the count of copies of a certain graph in . The second counting lemma provides a similar yet more general notion on the space of graphons, in which a scalar of the cut distance between two graphs (en)
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  • The counting lemmas this article discusses are statements in combinatorics and graph theory. The first one extracts information from -regular pairs of subsets of vertices in a graph , in order to guarantee patterns in the entire graph; more explicitly, these patterns correspond to the count of copies of a certain graph in . The second counting lemma provides a similar yet more general notion on the space of graphons, in which a scalar of the cut distance between two graphs (en)
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  • Counting lemma (en)
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