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We introduce a procedure that solves the decision problem whether a givenmatroid M is a gammoid. The procedure consists of three pieces: First, weintroduce a notion of a valid matroid tableau which captures the current stateof knowledge regarding the properties of matroids related to the matroid underconsideration. Second, we give a sufficient set of rules that may be used togenerate valid matroid tableaux. Third, we introduce a succession of steps thatultimately lead to a decisive tableau starting with any valid tableau. We arguethat the decision problem scales well with respect to parallel computationmodels.

Well-Scaling Procedure for Deciding Gammoid Class-Membership of Matroids