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Free products, principal sums, bipartition complete matroids and the linking operation $(\mathcal{M}_{SP} \vee \mathcal{M}_{PQ}) \times (S \uplus Q)$
In this paper we examine the special class of bipartition complete matroids, which includes free products and principal sums of matroids (Crapo and Schmitt, 2005; Bonin and Kung, 2015). A matroid $\mathcal{M}_{SQ}$ on $S \uplus Q$ is said to be $\{S,Q\}$--complete iff whenever $b^1_S \uplus b^1_Q, \
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