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- W81229258 abstract "We generalize stable-set independence systems of perfect graphs, 2-matroid-intersections and matching independence systems to the class of k-matroid-intersections, which are perfect relative to the k-matroids given. It is shown that a polyhedral description of such an independence system is given by the intersection of the corresponding matroid polyhedra and that a related linear system has the property of total dual integrality (TDI). Conversely, if such a linear system is known to have the TDI-property, then the resulting independence system is shown to be perfect relative to the matroids given." @default.
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- W81229258 date "1984-01-01" @default.
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- W81229258 title "Independence Systems and Perfect K-Matroid-Intersections" @default.
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- W81229258 doi "https://doi.org/10.1016/s0304-0208(08)72956-6" @default.
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