Yang Shu

collaborators

3 papers

math.CO2025

A Tverberg-type problem of Kalai: Two negative answers to questions of Alon and Smorodinsky, and the power of disjointness

Wenchong Chen, Gennian Ge, Yang Shu +2

Let $f_{r} (d, s_{1}, \dots, s_{r})$ denote the least integer $n$ such that every $n$ -point set $P \subseteq R^{d}$ admits a partition $P = P_{1} \cup \dots \cup P_{r}$ with the property that…

math.CO2025

Canonical Ramsey: triangles, rectangles and beyond

Yijia Fang, Gennian Ge, Yang Shu +3

In a seminal work, Cheng and Xu showed that if $S$ is a square or a triangle with a certain property, then for every positive integer $r$ there exists $n_{0} (S)$ independent of $r$ s…

math.CO2025

All rectangles exhibit canonical Ramsey property

Gennian Ge, Yang Shu, Zixiang Xu

In a seminal work, Cheng and Xu proved that for any positive integer $r$, there exists an integer $n_0$, independent of $r$, such that every $r$-coloring of the $n$-dimen…