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20242026
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9 papers · 1 filter

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 h…

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…

math.CO2026

On generalized Turán problems for expansions

Junpeng Zhou, Xiamiao Zhao, Xiying Yuan

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

math.CO2025

The Turán number of Berge matchings

Yichen Wang, Zixuan Yang, Xiamiao Zhao +2

Given a graph , an -uniform hypergraph is a {\em Berge-} if there is a bijection such that for each .…

math.CO2025

On Turán problems for Berge forests

Junpeng Zhou, Dániel Gerbner, Xiying Yuan

For a graph , an -uniform hypergraph is a Berge- if there is a bijection such that for each . Given a family $\ma…