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Sticky matroids and convolution (1909.02353v3)

Published 5 Sep 2019 in math.CO, cs.IT, and math.IT

Abstract: Motivated by the characterization of the lattice of cyclic flats of a matroid, the convolution of a ranked lattice and a discrete measure is defined, generalizing polymatroid convolution. Using the convolution technique we prove that if a matroid has a non-principal modular cut then it is not sticky. A similar statement for matroids has been proved in [8] using different technique.

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