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Irreducibility of Generalized Permutohedra, Supermodular Functions, and Balanced Multisets

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arxiv 2303.05751 v1 pith:3DNZJIXE submitted 2023-03-10 math.CO

Milan Haiman , Yuan Yao This is my paper · ORCID
classification math.CO
keywords irreducibilityfunctionsgeneralizedmultisetspermutohedrasupermodularanalyzeasymptotic
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We study generalized permutohedra and supermodular functions. Specifically we analyze decomposability and irreducibility for these objects and establish some asymptotic behavior. We also study a related problem on irreducibility for multisets.

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  1. The graph of implicit edge dependencies for indecomposability and beyond

    math.CO 2025-12 conditional novelty 8.0 of 10

    A graph of implicit edge dependencies unifies and extends indecomposability criteria and yields new indecomposable deformed permutahedra that are not matroid polytopes.

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