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D.W.
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You can compute the maximum weight of an antichain, or more generally the maximum weight of a union of $k$ antichains, by reducing to the maximum flow problem. See for example a technical report by Congthe following technical report by Cong:

Computing Maximum Weighted K-Families and K-Cofamilies in Partially Ordered Sets. J. Cong. UCLA CS Dept Technical Report CSD-930014, May 1993.

You can compute the maximum weight of an antichain, or more generally the maximum weight of a union of $k$ antichains, by reducing to the maximum flow problem. See for example a technical report by Cong.

You can compute the maximum weight of an antichain, or more generally the maximum weight of a union of $k$ antichains, by reducing to the maximum flow problem. See for example the following technical report by Cong:

Computing Maximum Weighted K-Families and K-Cofamilies in Partially Ordered Sets. J. Cong. UCLA CS Dept Technical Report CSD-930014, May 1993.

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Yuval Filmus
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You can compute the maximum weight of an antichain, or more generally the maximum weight of a union of $k$ antichains, by reducing to the maximum flow problem. See for example a technical report by Cong.