Mathematics > Combinatorics
[Submitted on 12 Jan 2021 (v1), last revised 25 Jan 2023 (this version, v3)]
Title:A proof of the Erdős-Faber-Lovász conjecture
View PDFAbstract:The Erdős-Faber-Lovász conjecture (posed in 1972) states that the chromatic index of any linear hypergraph on $n$ vertices is at most $n$. In this paper, we prove this conjecture for every large $n$. We also provide stability versions of this result, which confirm a prediction of Kahn.
Submission history
From: Thomas Kelly [view email][v1] Tue, 12 Jan 2021 19:01:02 UTC (119 KB)
[v2] Fri, 9 Jul 2021 16:28:23 UTC (120 KB)
[v3] Wed, 25 Jan 2023 15:33:19 UTC (84 KB)
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