Chong Shangguan

collaborators

2 papers

math.CO2026

Extremal problems for cancellative and locally thin hypergraphs

Miao Liu, Chong Shangguan, Chenyang Zhang

We study Turán-type extremal problems for cancellative and locally thin uniform hypergraphs. An $r$ -uniform hypergraph is $t$ -cancellative if $(\cup_{i=1}^t A_i)\cup B\ne (\cup_{i=…

math.CO2024

Asymptotically sharp bounds for cancellative and union-free hypergraphs

Miao Liu, Chong Shangguan, Chenyang Zhang

An $r$ -graph is called $t$ -cancellative if for arbitrary $t + 2$ distinct edges $A_{1}, \dots, A_{t}, B, C$ , it holds that $(\cup_{i = 1}^{t} A_{i}) \cup B \neq = (\cup_{i = 1}^{t} A_{i}) \cup C$ ; it is cal…