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Aug 18, 2023 at 14:48 vote accept Dominic van der Zypen
Aug 18, 2023 at 7:26 comment added bof Yep. Instead of Zorn's lemma, it follows even more directly from Tukey's lemma. Minimal dominating sets for $G$ are just the complements of maximal independent sets for the hypergraph whose edges are the closed neighborhoods $N_G[v]=\{v\}\cup N_G(v)$.
Aug 18, 2023 at 6:56 history answered Fedor Petrov CC BY-SA 4.0