On the complete graph K_n, the sharp Poincare-Wirtinger constant and the full set of extremizers are determined for p in [1, 3+δ1_n) ∪ (3+δ2_n, ∞).
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Sharp Poincare-Wirtinger inequalities on complete graphs
On the complete graph K_n, the sharp Poincare-Wirtinger constant and the full set of extremizers are determined for p in [1, 3+δ1_n) ∪ (3+δ2_n, ∞).