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## Extremal graphs

Let \(G\) be a simple undirected graph with \(2n\) nodes and no triangles (i.e., cycles of length \(3\)). Prove that \(\mathcal G\) has at most \(n^2\) edges.

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Let \(G\) be a simple undirected graph with \(2n\) nodes and no triangles (i.e., cycles of length \(3\)). Prove that \(\mathcal G\) has at most \(n^2\) edges.