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- W4310286383 abstract "Stanley's inequalities for partially ordered sets establish important log-concavity relations for sequences of linear extensions counts. Their extremals however, i.e., the equality cases of these inequalities, were until now poorly understood with even conjectures lacking. In this work, we solve this problem by providing a complete characterization of the extremals of Stanley's inequalities. Our proof is based on building a new ``dictionary between the combinatorics of partially ordered sets and the geometry of convex polytopes, which captures their extremal structures." @default.
- W4310286383 created "2022-11-30" @default.
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- W4310286383 date "2022-11-25" @default.
- W4310286383 modified "2023-09-27" @default.
- W4310286383 title "The extremals of Stanley's inequalities for partially ordered sets" @default.
- W4310286383 doi "https://doi.org/10.48550/arxiv.2211.14252" @default.
- W4310286383 hasPublicationYear "2022" @default.
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