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Confirmation of the Daykin-Frankl Conjecture

Kada Williams

Source record

Source: arXiv

Published: Sep 2, 2026

arXiv: 2609.03087

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Source abstract

In 1983, Daykin and Frankl conjectured that if PP is a convex subset of QnQ_n, then it contains at least P(nn/2)2n|P|\binom{n}{\lfloor n/2\rfloor}2^{-n} pairwise incomparable elements. We verify and communicate an LLM-generated proof of this conjecture.

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