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Sticky polymatroids on at most five elements (1911.04205v2)
Published 11 Nov 2019 in cs.IT, math.CO, and math.IT
Abstract: The sticky polymatroid conjecture states that any two extensions of the polymatroid have an amalgam if and only if the polymatroid has no non-modular pairs of flats. We show that the conjecture holds for polymatroids on five or less elements.