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math.CO 1

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2026 1

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Structure and properties of large cross-intersecting families

math.CO · 2026-06-18 · unverdicted · novelty 7.0

A structural theorem for large cross-intersecting pairs is proved by extending Kupavskii's result, using a new S_{U,V}^Q-shift that preserves global and local intersection properties, yielding analogues of classical theorems.

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  • Structure and properties of large cross-intersecting families math.CO · 2026-06-18 · unverdicted · none · ref 1

    A structural theorem for large cross-intersecting pairs is proved by extending Kupavskii's result, using a new S_{U,V}^Q-shift that preserves global and local intersection properties, yielding analogues of classical theorems.