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- W4381826939 abstract "Let $mathcal{F}$ be a family of $r$-uniform hypergraphs, and let $H$ be an $r$-uniform hypergraph. Then $H$ is called $mathcal{F}$-free if it does not contain any member of $mathcal{F}$ as a subhypergraph. The Tur'{a}n number of $mathcal{F}$, denoted by $ex_r(n,mathcal{F})$, is the maximum number of hyperedges in an $mathcal{F}$-free $n$-vertex $r$-uniform hypergraph. Our current results are motivated by earlier results on Tur'{a}n numbers of star forests and hypergraph star forests. In particular, Lidick'{y}, Liu and Palmer [Electron. J. Combin. 20 (2013)] determined the Tur'{a}n number $ex(n,F)$ of a star forest $F$ for sufficiently large $n$. Recently, Khormali and Palmer [European. J. Combin. 102 (2022) 103506] generalized the above result to three different well-studied hypergraph settings, but restricted to the case that all stars in the hypergraph star forests are identical. We further generalize these results to general hypergraph star forests." @default.
- W4381826939 created "2023-06-24" @default.
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- W4381826939 date "2023-06-13" @default.
- W4381826939 modified "2023-09-27" @default.
- W4381826939 title "Tur'{a}n numbers of general hypergraph star forests" @default.
- W4381826939 doi "https://doi.org/10.48550/arxiv.2306.12463" @default.
- W4381826939 hasPublicationYear "2023" @default.
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