arXiv cs.AI
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An Explicit Counterexample to Stanley's Rankwise Lower-Bound Conjecture for Differential Posets
arXiv:2607.22988v2 Announce Type: replace-cross Abstract: In Problem 6 of his 1988 paper on differential posets, Stanley asked for the least possible cardinality of a fixed rank of an $r$-differential poset and suggested that the minimum should be attained by $Y^r$, the $r$-fold Cartesian power of Young's lattice. We d