Hypergraphs accumulate infinitely often

Fuente: arXiv
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Hauptverfasser: Conlon, David, Schülke, Bjarne
Format: Preprint
Veröffentlicht: 2025
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author Conlon, David
Schülke, Bjarne
author_facet Conlon, David
Schülke, Bjarne
contents We show that the set $Π^{(k)}$ of Turán densities of $k$-uniform hypergraphs has infinitely many accumulation points in $[0,1)$ for every $k \geq 3$. This extends an earlier result of ours showing that $Π^{(k)}$ has at least one such accumulation point.
format Preprint
id arxiv_https___arxiv_org_abs_2506_03080
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Hypergraphs accumulate infinitely often
Conlon, David
Schülke, Bjarne
Combinatorics
05C65, 05C35, 05D05, 05D99
We show that the set $Π^{(k)}$ of Turán densities of $k$-uniform hypergraphs has infinitely many accumulation points in $[0,1)$ for every $k \geq 3$. This extends an earlier result of ours showing that $Π^{(k)}$ has at least one such accumulation point.
title Hypergraphs accumulate infinitely often
topic Combinatorics
05C65, 05C35, 05D05, 05D99
url https://arxiv.org/abs/2506.03080