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Stanley's partitionability conjecture for Cohen–Macaulay complexes
Let $\Delta$ be a Cohen–Macaulay simplicial complex, and let its $h$ -vector provide the prescribed ranks. A Boolean interval in the face poset is an interval isomorphic to a Boolea…
Conjectureopencohen-macaulay partitionability simplicial-complexesarXiv posted 2 days ago
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The constructible simplicial complex partitionability conjecture
Constructible simplicial complex partitionability conjecture. Every constructible simplicial complex is partitionable.
Conjecturerefutedcombinatorial-topology partitionability simplicial-complexesarXiv posted 2 days ago

Stanley's partitionability conjecture for Cohen–Macaulay complexes