article epub_ahead yes Xiaoyu He author Jiaxi Nie author Yuval Wigderson author 2d0023a0-1567-11f0-833d-d5c1e476d4b5 Hung-Hsun Yu author We study off-diagonal Ramsey numbers 𝑟⁡(𝐻,𝐾(𝑘) 𝑛) of 𝑘-uniform hypergraphs, where 𝐻 is a fixed linear 𝑘-uniform hypergraph and 𝐾(𝑘) 𝑛 is complete on 𝑛 vertices. Recently, Conlon, Fox, Gunby, He, Mubayi, Suk, and Verstraëte disproved the folklore conjecture that 𝑟⁡(𝐻,𝐾(3) 𝑛) always grows polynomially in 𝑛. In this paper, we show that much larger growth rates are possible in higher uniformity. In uniformity 𝑘 ≥4, we prove that for any constant 𝐶 >0, there exists a linear 𝑘-uniform hypergraph 𝐻 for which 𝑟⁡(𝐻,𝐾(𝑘) 𝑛)≥twr𝑘−2⁢(2(log⁡𝑛)𝐶). https://creativecommons.org/licenses/by/4.0/ Cambridge University Press2026 eng 0963-5483 1469-2163 2507.0564110.1017/s0963548326100443 1-14 yes He X, Nie J, Wigderson Y, Yu H-H. Off-diagonal Ramsey numbers for linear hypergraphs. <i>Combinatorics, Probability and Computing</i>. 2026:1-14. doi:<a href="https://doi.org/10.1017/s0963548326100443">10.1017/s0963548326100443</a> He, X., Nie, J., Wigderson, Y., &#38; Yu, H.-H. (2026). Off-diagonal Ramsey numbers for linear hypergraphs. <i>Combinatorics, Probability and Computing</i>. Cambridge University Press. <a href="https://doi.org/10.1017/s0963548326100443">https://doi.org/10.1017/s0963548326100443</a> He X, Nie J, Wigderson Y, Yu H-H. 2026. Off-diagonal Ramsey numbers for linear hypergraphs. Combinatorics, Probability and Computing., 1–14. X. He, J. Nie, Y. Wigderson, H.-H. Yu, Combinatorics, Probability and Computing (2026) 1–14. He, Xiaoyu, Jiaxi Nie, Yuval Wigderson, and Hung-Hsun Yu. “Off-Diagonal Ramsey Numbers for Linear Hypergraphs.” <i>Combinatorics, Probability and Computing</i>. Cambridge University Press, 2026. <a href="https://doi.org/10.1017/s0963548326100443">https://doi.org/10.1017/s0963548326100443</a>. X. He, J. Nie, Y. Wigderson, and H.-H. Yu, “Off-diagonal Ramsey numbers for linear hypergraphs,” <i>Combinatorics, Probability and Computing</i>. Cambridge University Press, pp. 1–14, 2026. He, Xiaoyu, et al. “Off-Diagonal Ramsey Numbers for Linear Hypergraphs.” <i>Combinatorics, Probability and Computing</i>, Cambridge University Press, 2026, pp. 1–14, doi:<a href="https://doi.org/10.1017/s0963548326100443">10.1017/s0963548326100443</a>. 221522026-06-29T10:47:02Z2026-07-08T07:24:54Z