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Transversal matroid intersections and related packings

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Abstract

Network flow techniques are used to show that a conjecture of Fulkerson on the blocking polyhedron associated with the intersection of two matroids is true for transversal matroids. This leads to some general integral packing results for partial transversals, bipartite edge matchings, and subpermutation matrices. A computational example for bipartite edge matchings is included.

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Weinberger, D.B. Transversal matroid intersections and related packings. Mathematical Programming 11, 164–176 (1976). https://doi.org/10.1007/BF01580384

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  • DOI: https://doi.org/10.1007/BF01580384

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