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W. Wawrzyniak

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Preprint Sep 2026

Near-Optimal Distributed Domination in Planar Graphs

We give a deterministic $(8+\varepsilon)$-approximation for minimum dominating set on planar graphs in a constant number of rounds of the LOCAL model, for every $\varepsilon>0$. This improves the previous ratio $11+\varepsilon$ obtained by Heydt et al. The ratio is near-optimal in this model: its leading constant is on...

W. Wawrzyniak · 1 citation · ⚡1