On Tur\'{a}n problems for suspension hypergraphs

Xin Cheng; Dániel Gerbner; Hilal Hama Karim; Junpeng Zhou

On Tur\'{a}n problems for suspension hypergraphs

Combinatorics 2025-02-18 v1

Authors: Xin Cheng , Dániel Gerbner , Hilal Hama Karim , Junpeng Zhou

Abstract

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, we consider Tur\'{a}n problems on suspension hypergraphs, and we obtain several general and exact results.

Keywords

turán theory hypergraph theory graph theory

Cite

@article{arxiv.2502.10905,
  title  = {On Tur\'{a}n problems for suspension hypergraphs},
  author = {Xin Cheng and Dániel Gerbner and Hilal Hama Karim and Junpeng Zhou},
  journal= {arXiv preprint arXiv:2502.10905},
  year   = {2025}
}

Comments

14 pages

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