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- W4387355907 abstract "A simplicial complex $H$ consists of a pair of sets $(V,E)$ where $V$ is a set of vertices and $Esubseteqmathscr{P}(V)$ is a collection of subsets of $V$ closed under taking subsets. Given a simplicial complex $F$ and $nin mathbb N$, the extremal number $text{ex}(n,F)$ is the maximum number of edges that a simplicial complex on $n$ vertices can have without containing a copy of $F$. We initiate the systematic study of extremal numbers in this context by asymptotically determining the extremal numbers of several natural simplicial complexes. In particular, we asymptotically determine the extremal number of a simplicial complex for which the extremal example has more than one incomplete layer." @default.
- W4387355907 created "2023-10-05" @default.
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- W4387355907 date "2023-10-03" @default.
- W4387355907 modified "2023-10-06" @default.
- W4387355907 title "Simplicial Tur'an problems" @default.
- W4387355907 doi "https://doi.org/10.48550/arxiv.2310.01822" @default.
- W4387355907 hasPublicationYear "2023" @default.
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