F-free hypergraphs have bounded strong chromatic number except for the 3-uniform star expansion S_k^+, where bounds are asymptotically sharp as k to infinity; similar characterizations and sharp bounds hold when forbidding Berge copies of graphs F.
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On the largest chromatic number of $F$-free hypergraphs
F-free hypergraphs have bounded strong chromatic number except for the 3-uniform star expansion S_k^+, where bounds are asymptotically sharp as k to infinity; similar characterizations and sharp bounds hold when forbidding Berge copies of graphs F.