Ting Lan

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math.CO2026

On degree powers in the degenerate Turán problem

Ping Hu, Ting Lan, Henry Liu

Given a graph $G$ with degree sequence $d_{1}, \dots, d_{n}$ and a positive real number $p$ , let $e_{p} (G) = \sum_{i = 1}^{n} d_{i}^{p}$ . For a fixed family of graphs $F$ , let…

math.CO2026

On the Turán number of double stars

Ping Hu, Ting Lan

The Turán number of a graph $F$ , $e x (n, F)$ , is the maximum number of edges in a graph on $n$ vertices which does not contain $F$ as a subgraph. Let $S_{a, b}$ denote a double star w…

math.CO2023

Block-transitive $3$ - $(v, k, 1)$ designs on exceptional groups of Lie type

Ting Lan, Weijun Liu, Fu-Gang Yin

Let $D$ be a non-trivial $G$ -block-transitive $3$ - $(v, k, 1)$ design, where $T \leq G \leq Aut (T)$ for some finite non-abelian simple group $T$ . It is proved that i…

On degree powers in the degenerate Turán problem

On the Turán number of double stars

Block-transitive 3-(v,k,1) designs on exceptional groups of Lie type

Block-transitive $3$ - $(v, k, 1)$ designs on exceptional groups of Lie type