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math.CO 1

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2025 1

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CONDITIONAL 1

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Planar Tur\'an number of quasi-double stars

math.CO · 2025-07-16 · conditional · novelty 5.0

For quasi-double stars W_{h,k} with 1≤h≤2≤k≤5, the paper proves planar Turán bounds of 3(h+k)/(h+k+2)n for h+k≤5, and two-sided bounds of 5/2 n and 17/6 n for larger cases.

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  • Planar Tur\'an number of quasi-double stars math.CO · 2025-07-16 · conditional · none · ref 2

    For quasi-double stars W_{h,k} with 1≤h≤2≤k≤5, the paper proves planar Turán bounds of 3(h+k)/(h+k+2)n for h+k≤5, and two-sided bounds of 5/2 n and 17/6 n for larger cases.