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Pr¨ omel, H · 1992

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math.CO 1

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2024 1

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CONDITIONAL 1

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Cover numbers by certain graph families

math.CO · 2024-12-12 · conditional · novelty 6.0

For any non-decreasing function f with f(x)≥x, the minimum number of graphs satisfying χ≤f(ω) needed to cover a graph G equals ceil(log χ(G)/log f(ω(G))).

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  • Cover numbers by certain graph families math.CO · 2024-12-12 · conditional · none · ref 8

    For any non-decreasing function f with f(x)≥x, the minimum number of graphs satisfying χ≤f(ω) needed to cover a graph G equals ceil(log χ(G)/log f(ω(G))).