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Erdős problem 1028

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Let H(n)=min⁡fmax⁡X⊆{1,…,n}∣∑x<y∈Xf(x,y)∣,H(n)=\min_f \max_{X\subseteq \{1,\ldots,n\}} \left\lvert \sum_{x<y\in X} f(x,y)\right\rvert, where ff ranges over all functions f:{1,…,n}2→{−1,1}f:\{1,\ldots,n\}^2\to \{-1,1\}. Estimate H(n)H(n).

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Problem row
sha256:adf421d4629bf9310d1f5264c7dd6464f1f10131f22128405f6ad0acea8a1b35
Metadata
sha256:e598746dee88bb0665069585c2c228e07938d233be30da59c505f8506d1e2ee2
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:7412dab12434056cdada5687d06fc5f184d16cedfaaadab3d5b68e3961e2a254
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sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
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sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
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36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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