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The Structure of Hypergraphs without long Berge cycles by Győri, Ervin; Lemons, Nathan; Salia, Nika; Zamora, Oscar is a scholarly article available to read on EtoBox.

What is The Structure of Hypergraphs without long Berge cycles about?

We study the structure of $r$-uniform hypergraphs containing no Berge cycles of length at least $k$ for $k \leq r$, 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 $k < r$.

Author

Győri, Ervin; Lemons, Nathan; Salia, Nika; Zamora, Oscar

Published

2018

Language

EN