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Local Shearer bound

math.CO · 2024-12-31 · conditional · novelty 8.0

Resolves the Kelly-Postle local Shearer conjecture by constructing, for every triangle-free graph, a distribution over independent sets with vertex inclusion probability (1-o(1)) ln d(v)/d(v).

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  • Local Shearer bound math.CO · 2024-12-31 · conditional · none · ref 1

    Resolves the Kelly-Postle local Shearer conjecture by constructing, for every triangle-free graph, a distribution over independent sets with vertex inclusion probability (1-o(1)) ln d(v)/d(v).