论文标题

Fano平面的稳定性结果的注释

A note on a stability result for the Fano plane

论文作者

Hoppen, Carlos, Lefmann, Hanno, Odermann, Knut

论文摘要

在本说明中,我们适应了Fano平面(Turán)稳定性定理的Keevash-Sudakov证明,以找到参数$ \ varepsilon $和$δ$之间的明确依赖关系。这对于针对边缘色的极端问题的多色版本(称为Erdős-Rothschild问题)的方法很有用,该版本可以考虑到Fano平面。

In this note, we adapt the Keevash-Sudakov proof of the (Turán) Stability Theorem for the Fano plane to find an explicit dependency between the parameters $\varepsilon$ and $δ$. This is useful in the solution of a multicolored version for hypergraphs of an extremal problem about edge-colorings, known as the Erdős-Rothschild problem, which may be considered for the Fano plane.

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