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- W2006784845 abstract "An algorithm is presented for determining whether or not a matroid is a transversal matroid. If the matroid is a transversal matroid, the algorithm furnishes an explicit determination of the maximal presentation (which therefore must be unique). From this we obtain necessary and sufficient conditions for a matroid to be a transversal matroid and two characterizations of the presentations of a given transversal matroid. We also evaluate the cardinalities of the members of presentations of a transversal matroid in terms of the cardinalities of the members of the maximal presentation and the ranks of the complements of each. Numerous other consequences are derived." @default.
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- W2006784845 date "1972-06-01" @default.
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- W2006784845 title "Characterizations of transversal matroids and their presentations" @default.
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- W2006784845 doi "https://doi.org/10.1016/0095-8956(72)90041-x" @default.
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