A note on a stability result for the Fano plane
Combinatorics
2020-04-27 v1
Abstract
In this note, we adapt the Keevash-Sudakov proof of the (Tur\'{a}n) Stability Theorem for the Fano plane to find an explicit dependency between the parameters and . This is useful in the solution of a multicolored version for hypergraphs of an extremal problem about edge-colorings, known as the Erd\H{o}s-Rothschild problem, which may be considered for the Fano plane.
Keywords
Cite
@article{arxiv.2004.11828,
title = {A note on a stability result for the Fano plane},
author = {Carlos Hoppen and Hanno Lefmann and Knut Odermann},
journal= {arXiv preprint arXiv:2004.11828},
year = {2020}
}
Comments
This article has been posted to give support to results about edge-coloring of 3-uniform hypergraphs that do not contain a copy of the Fano plane