New Ω(log n / (log Δ ⋅ polyloglog Δ)) locality lower bound for O(log Δ)-approximate non-signaling dominating set, plus Ω(log n / log Δ) for O(log^β Δ) approximations yielding quantum-LOCAL bounds.
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Non-Signaling Locality Lower Bounds for Dominating Set
New Ω(log n / (log Δ ⋅ polyloglog Δ)) locality lower bound for O(log Δ)-approximate non-signaling dominating set, plus Ω(log n / log Δ) for O(log^β Δ) approximations yielding quantum-LOCAL bounds.