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Minimum degree in simplicial complexes

math.CO · 2025-01-02 · conditional · novelty 6.0

The paper proves alpha(2^d-m)=(2^{d+1}-m)/(d+1) for all d>=m>=1 and alpha(11)=53/10, determining minimum-degree thresholds in simplicial complexes for an entire natural regime.

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  • Minimum degree in simplicial complexes math.CO · 2025-01-02 · conditional · none · ref 7

    The paper proves alpha(2^d-m)=(2^{d+1}-m)/(d+1) for all d>=m>=1 and alpha(11)=53/10, determining minimum-degree thresholds in simplicial complexes for an entire natural regime.