About Berge–Füredi’s conjecture on the chromatic index of hypergraphs

We prove that the chromatic index of a hypergraph $\mathcal{H}$ satisfies the Berge–Füredi conjectured bound $\mathrm{q}(\mathcal{H}\le \Delta \bigl ([\mathcal{H}_2]\bigr )+1$ under certain hypotheses on the antirank $\mathrm{ar}(\mathcal{H})$ or on the maximum degree $\Delta (\mathcal{H})$. This pr...

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Bibliographic Details
Main Authors: Bretto, Alain, Faisant, Alain, Hennecart, François
Format: Article
Language:English
Published: Académie des sciences 2025-04-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.739/
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