Dániel Gerbner

activity

20242026

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4 papers · 1 filter

math.CO2025

On TurÃ¡n problems for Berge forests

Junpeng Zhou, DÃ¡niel Gerbner, Xiying Yuan

For a graph $F$ , an $r$ -uniform hypergraph $H$ is a Berge- $F$ if there is a bijection $I ¨ : E (F) \to E (H)$ such that $e \subseteq I ¨ (e)$ for each $e \in E (F)$ . Given a family $\…

math.CO2025

Survey of generalized TurÃ¡n problems -- counting subgraphs

DÃ¡niel Gerbner, Cory Palmer

For fixed graphs $H$ and $F$ , the \emph{generalized TurÃ¡n number} $ex (n, H, F)$ is the maximum possible number of copies of a subgraph $H$ in an $n$ -vertex $F$ -free graph.…

math.CO2025

On the TurÃ¡n number of the expansion of the $t$ -fan

Xin Cheng, DÃ¡niel Gerbner, Hilal Hama Karim +1

The $t$ -fan is the graph on $2 t + 1$ vertices consisting of $t$ triangles which intersect at exactly one common vertex. For a given graph $F$ , the $r$ -expansion $F^{r}$ of $F$ is the $…

math.CO2025

On TurÃ¡n problems for suspension hypergraphs

Xin Cheng, DÃ¡niel Gerbner, Hilal Hama Karim +1

For a given graph $F$ , the $r$ -uniform suspension of $F$ is the $r$ -uniform hypergraph obtained from $F$ by taking $r - 2$ new vertices and adding them to every edge. In this paper,…

On TurÃ¡n problems for Berge forests

Survey of generalized TurÃ¡n problems -- counting subgraphs

On the TurÃ¡n number of the expansion of the t-fan

On TurÃ¡n problems for suspension hypergraphs

On the TurÃ¡n number of the expansion of the $t$ -fan