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math.CO 1

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2026 1

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Berge $k$-Factors of Regular Hypergraphs

math.CO · 2026-04-30 · unverdicted · novelty 7.0

For hypergraphs, the largest k allowing a Berge k-factor in every λ-edge-connected r-regular hypergraph is bounded above by a function of the rank, stronger than the classical connectivity bound.

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  • Berge $k$-Factors of Regular Hypergraphs math.CO · 2026-04-30 · unverdicted · none · ref 2

    For hypergraphs, the largest k allowing a Berge k-factor in every λ-edge-connected r-regular hypergraph is bounded above by a function of the rank, stronger than the classical connectivity bound.