Tianxiao Zhao

collaborators

3 papers

math.CO2026

Finite palette endpoints and degree-square Turán problems

Jiangdong Ai, Bin Chen, Ming Chen +2

We study finite palette extremal problems motivated by uniform Turán densities of $3$ -uniform hypergraphs. Given a self-converse tournament $T$ with at least two vertices, we deter…

math.CO2026

A weighted cycle-localization inequality

Jiangdong Ai, Bin Chen, Ming Chen +1

In 1959, Erdős and Gallai showed that every $2$ -connected graph $G$ contains a cycle of length at least $\frac{2∣ E ( G ) ∣}{∣ V ( G ) ∣ - 1}$ . This result was subsequently extended to weighte…

math.CO2025

Strongly regular graphs with parameters (85,14,3,2) do not exist

Sergey Shpectorov, Tianxiao Zhao

We investigate the second smallest unresolved feasible set of parameters of strongly regular graphs, $(v, k, λ, μ) = (85, 14, 3, 2)$ . Using the classification of cubic graphs of small degr…