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The foundation of generalized parallel connections, 2-sums, and segment-cosegment exchanges of matroids
Published Web Location
https://doi.org/10.5070/C65465678Abstract
We show that, under suitable hypotheses, the foundation of a generalized parallel connection of matroids is the relative tensor product of the foundations. Using this result, we show that the foundation of a 2-sum of matroids is the absolute tensor product of the foundations, and that the foundation of a matroid is invariant under segment-cosegment exchange.
Mathematics Subject Classifications: 05B35, 20Axx
Keywords: Matroids, pastures, foundations, generalized parallel connection, 2-sum, segment-cosegment exchange