Hyunjun Yi

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math.CO2026

Johnson optimality and uniqueness for distance ratio $1 : 2$

Bryan Bu, Chin-Yen Lee, Yu-Hang Sheng +3

We prove that a two-distance set in $R^{d}$ with distance ratio $1 : 2$ has at most $d (d + 1) /2$ points for every $d \geq 9$ . Equality in full affine dimension characterizes…

math.CO2026

Four runners that are barely lonely

Hyunjun Yi, Karam Gill, Bryan Bu

For positive integers $v_{1}, \dots, v_{n}$ let $ML (v_{1}, \dots, v_{n}) = max_{t} min_{i} ∥ v_{i} t ∥$ , where $∥ x ∥$ is the distance to the nearest integer. Kravitz asked which values below…

Johnson optimality and uniqueness for distance ratio 1:2​

Four runners that are barely lonely

Johnson optimality and uniqueness for distance ratio $1 : 2$