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Hypergraphs with arbitrarily small codegree Turán density

delete2026-04-01
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PRE
AI
P
Piga, Simon *
S
Schulke, Bjarne
DOI:10.1112/blms.70348delete
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Abstract

Abstract

En 中文
The codegree Tur & aacute;n density gamma(F) of a k-graph F is the smallest gamma is an element of [0, 1) such that every k-graph H with delta(k-1)(H) >= (gamma + o(1))|V(H)| contains a copy of F. In this work, we show that for every epsilon>0, there is a k-uniform hypergraph F with 0 < gamma(F) < epsilon. The initial preprint of this work leads to significant subsequent research on accumulation points of variants of the Tur & aacute;n density

Journal

B
Bulletin of the London Mathematical Society
IF:
0.9
Papers:
193
Citations:
0

Organization

C
Czech Academy of Sciences
Scholars:
2.6K
Papers: 1.0K
Citations: 4.4W