Anqi Li

activity

20222026

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Showing 2024Show all

3 papers · 1 filter

math.CO2024

Unbalanced Zarankiewicz problem for bipartite subdivisions with applications to incidence geometry

Lili Ködmön, Anqi Li, Ji Zeng

For a bipartite graph $H$ , its linear threshold is the smallest real number $σ$ such that every bipartite graph $G = (U ⊔ V, E)$ with unbalanced parts $∣ V ∣ ≳ ∣ U ∣^{σ}$ and…

math.MG2024

Improved kissing numbers in seventeen through twenty-one dimensions

Henry Cohn, Anqi Li

We prove that the kissing numbers in 17, 18, 19, 20, and 21 dimensions are at least 5730, 7654, 11692, 19448, and 29768, respectively. The previous records were set by Leech in 196…

math.CO2024

Uncommon linear systems of two equations

Dingding Dong, Anqi Li, Yufei Zhao

A system of linear equations $L$ is common over $F_{p}$ if, as $n \to \infty$ , any 2-coloring of $F_{p}^{n}$ gives asymptotically at least as many monochromatic solutions…