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Is there an analogue of the Beck-Fiala theoremBeck-Fiala theorem for linear or hereditary discrepancies of hypergraphs?

Is there an analogue of the Beck-Fiala theorem for linear or hereditary discrepancies of hypergraphs?

Is there an analogue of the Beck-Fiala theorem for linear or hereditary discrepancies of hypergraphs?

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Felix Goldberg
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Beck-Fiala for other discrepancies

Is there an analogue of the Beck-Fiala theorem for linear or hereditary discrepancies of hypergraphs?