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Mathematics > Combinatorics

Title: Hypergraphs accumulate

Abstract: We show that for every integer $k\geq3$, the set of Tur\'an densities of $k$-uniform hypergraphs has an accumulation point in $[0,1)$. In particular, $1/2$ is an accumulation point for the set of Tur\'an densities of $3$-uniform hypergraphs.
Comments: 6 pages
Subjects: Combinatorics (math.CO)
MSC classes: 05C65, 05C35, 05D05, 05D99
Cite as: arXiv:2405.08239 [math.CO]
  (or arXiv:2405.08239v1 [math.CO] for this version)

Submission history

From: Bjarne Schülke [view email]
[v1] Mon, 13 May 2024 23:49:23 GMT (11kb,D)

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