Abstract
We study the structure of r-uniform hypergraphs containing no Berge cycles of length at least k for k ≤ r, and determine that such hypergraphs have some special substructure. In particular we determine the extremal number of such hypergraphs, giving an affirmative answer to the conjectured value when k = r and giving a a simple solution to a recent result of Kostochka-Luo when k < r.
Original language | English |
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Pages (from-to) | 767-771 |
Number of pages | 5 |
Journal | Acta Mathematica Universitatis Comenianae |
Volume | 88 |
Issue number | 3 |
State | Published - 2 Sep 2019 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2019, Univerzita Komenskeho. All rights reserved.
ASJC Scopus subject areas
- General Mathematics