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- W1971736990 abstract "Rival and Zaguia showed that the antichain cutsets of a finite Boolean lattice are exactly the level sets. We show that a similar characterization of antichain cutsets holds for any strongly connected poset of locally finite height. As a corollary, we characterize the antichain cutsets in semimodular lattices, supersolvable lattices, Bruhat orders, locally shellable lattices, and many more. We also consider a generalization to strongly connected d-uniform hypergraphs." @default.
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- W1971736990 date "2012-04-20" @default.
- W1971736990 modified "2023-10-07" @default.
- W1971736990 title "Antichain Cutsets of Strongly Connected Posets" @default.
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- W1971736990 doi "https://doi.org/10.1007/s11083-012-9248-2" @default.
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