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Ordered Ramsey numbers of 3-uniform hypergraphs with bounded weak degeneracy

Wen Chen, Zihan He, Qizhong Lin, Meng Liu

Source record

Source: arXiv

Published: Sep 15, 2026

arXiv: 2609.16767

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Source abstract

The \emph{ordered Ramsey number} r0r_ 0 such that, for every integer d1d\ge1, there is a constant Cd>0C_d>0 for which every weakly dd-degenerate ordered 33-graph HH on tt vertices satisfies \[ r_ 2^{Ω(n^2)}.$

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Ordered Ramsey numbers of 3-uniform hypergraphs with bounded weak degeneracy — Mathematical Frontier Network