3 papers
math.CO2026
An ErdÅs Matching Conjecture for Vector Spaces
Baoyan Feng, Chong Shangguan, Yulin Yang +1
We study a vector-space analogue of the ErdÅs Matching Conjecture. Let denote the maximum cardinality of a family of -dimensional subspaces of an -dimensional v…
math.CO2026
Sharp asymptotic bounds for uniform union-free hypergraphs
Miao Liu, Chong Shangguan, Chenyang Zhang
An -uniform hypergraph is called -union-free if any two distinct subsets of at most edges have distinct union. The study of union-free hypergraphs has multiple origins an…
math.CO2024
Asymptotically sharp bounds for cancellative and union-free hypergraphs
Miao Liu, Chong Shangguan, Chenyang Zhang
An -graph is called -cancellative if for arbitrary distinct edges , it holds that ; it is cal…