Wenchong Chen

collaborators

3 papers

math.CO2026

Above and below

Wenchong Chen, Cosmin Pohoata

We study a family of above-below Ramsey functions $AB^{(d)} (k)$ defined for sequences of points in $R^{d}$ whose projections to $R^{d - 1}$ have cyclic o…

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

Optimal stability results on color-biased Hamilton cycles

Wenchong Chen, Mingyuan Rong, Zixiang Xu

We investigate Hamilton cycles in edge-colored graphs with $ r $ colors, focusing on the notion of color-bias (discrepancy), the maximum deviation from uniform color frequencies…