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Cohen-Macaulay clutters with combinatorial optimization properties and parallelizations of normal edge ideals

Cohen-Macaulay clutters with combinatorial optimization properties and parallelizations of normal edge ideals

LetC be a uniform clutter and let I = I(C) be its edge ideal. We prove that if C satisfies the packing property (resp. max-flow min-cut property), then there is a uniform Cohen-Macaulay clutter C1 satisfying the packing property (resp. max-flow min-cut property) such that C is a minor of …