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A greedy algorithm for hereditary set systems and a generalization of the Rado-Edmonds characterization of matroids - MaRDI portal

A greedy algorithm for hereditary set systems and a generalization of the Rado-Edmonds characterization of matroids (Q1102299)

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scientific article; zbMATH DE number 4049666
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English
A greedy algorithm for hereditary set systems and a generalization of the Rado-Edmonds characterization of matroids
scientific article; zbMATH DE number 4049666

    Statements

    A greedy algorithm for hereditary set systems and a generalization of the Rado-Edmonds characterization of matroids (English)
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    1988
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    A modified greedy algorithm is presented which determines an optimal solution for every weight function if and only if the hereditary set- system is a Gaussian elimination greedoid. This also leads to an algorithmic characterization of strong map relations between matroids.
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    greedy algorithm
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    Gaussian elimination greedoid
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