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arXiv · 2602.03298

Uniformity of extremal graph-codes

Noé de Rancourt·Pandelis Dodos·Konstantinos Tyros
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Abstract

It is an important fact that extremal discrete structures -- that is, discrete structures of maximal size among those that avoid certain configurations -- exhibit strong pseudorandom behavior. We present instances of this phenomenon in the context of \emph{graph-codes}, a notion put forth recently by Alon, as well as on problems related to the density polynomial Hales--Jewett conjecture.

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Noé de Rancourt, Pandelis Dodos, Konstantinos Tyros. 2026-04-11. Uniformity of extremal graph-codes. https://arxiv.org/abs/2602.03298

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