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The Hilton-Milner theorem in the ℓ2\ell_2-norm

George Brooks, William Linz

Source record

Source: arXiv

Published: Oct 8, 2026

arXiv: 2610.12433

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Source abstract

The Hilton-Milner theorem is a classical theorem in extremal set theory which determines the maximum size of a nontrivial kk-uniform intersecting family. In this paper, we prove an exact version of the Hilton-Milner theorem in the ℓ2\ell_2-norm. Our method also gives an asymptotic version of the Hilton-Milner theorem in the (j,p)(j, p)-norm.

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The Hilton-Milner theorem in the $\ell_2$-norm — Mathematical Frontier Network