collaborators

11 papers

math.CO2026

On the generalized Turán number of the complete bipartite graph

Jing Wang, Zixuan Yang, Junpeng Zhou

For graphs and , let denote the maximum number of copies of in an -vertex -free graph. Very recently, Janzer, Longbrake, and Yepremyan proved…

math.CO2026

On the Turán number of blow-ups of

Xiamiao Zhao, Xin Cheng, Dániel Gerbner +4

Let denote the -uniform hypergraph on the vertex set with hyperedges . Recently, Balogh, Clemen and Lu…

math.CO2026

Hypergraph extensions of the Alon--Frankl Theorem and rainbow Turán problems

Xiamiao Zhao, Yuanpei Wang, Junpeng Zhou

Given a graph , the -expansion of is the -uniform hypergraph obtained from by inserting new distinct vertices in each edge of . Recently, Alon…

math.CO2026

On the connected Turán number of Berge paths and Berge cycles

Xiamiao Zhao, Dániel Gerbner, Junpeng Zhou

Given a graph , a Berge copy of (Berge- for short) is a hypergraph obtained by enlarging the edges arbitrarily. Győri, Salia and Zamora determined the maximum number of…

math.CO2026

Forbidding edge-critical graphs as trace in uniform hypergraphs

Yichen Wang, Xin Cheng, Ervin Győri +3

We say a hypergraph contains a graph as trace if there exists a vertex subset such that and $\{e \cap S \mid e \in E(\ma…

math.CO2026

The Turán number of Berge paths

Xin Cheng, Dániel Gerbner, Hilal Hama Karim +2

A Berge path of length in an -uniform hypergraph is a collection of hyperedges and vertices such that for…