Hypergraphs with arbitrarily small codegree Turán density

Abstract The codegree Turán density of a ‐graph is the smallest such that every ‐graph with contains a copy of . In this work, we show that for every , there is a ‐uniform hypergraph with . The initial preprint of this work leads to significant subsequent research on accumulation points of variants of the Turán density.

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2026-03-27
DOI
https://doi.org/10.1112/blms.70348
Primary Topic
Limits and Structures in Graph Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Hypergraphs with arbitrarily small codegree Turán density

Simón Piga, Bjarne Schülke
Bulletin of the London Mathematical Society
Limits and Structures in Graph Theory
article

Hypergraphs with arbitrarily small codegree Turán density

Simón Piga, Bjarne Schülke
article en

Abstract

Abstract The codegree Turán density of a ‐graph is the smallest such that every ‐graph with contains a copy of . In this work, we show that for every , there is a ‐uniform hypergraph with . The initial preprint of this work leads to significant subsequent research on accumulation points of variants of the Turán density.

Bulletin of the London Mathematical SocietyVol. 58(4)
Institute for Basic Science (KR), Czech Academy of Sciences, Institute of Computer Science (CZ)
Reduced inequalities
Openalex Percentile: Top 4%
Limits and Structures in Graph Theory
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