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On paths of greedoids and a minor characterization - MaRDI portal

On paths of greedoids and a minor characterization (Q1329072)

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scientific article; zbMATH DE number 597748
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English
On paths of greedoids and a minor characterization
scientific article; zbMATH DE number 597748

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    On paths of greedoids and a minor characterization (English)
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    29 June 1994
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    A lower bound \(1.6\cdot 3^{n/3}\) is given for the number \(p_ n\) of the paths of a greedoid over \(n\) elements (clearly, \(p_ n< 2^ n\)), and it is proved that a simple greedoid (where \(p_ n=n\)) is an interval greedoid if and only if it has no minor isomorphic to \(2^{\{a,b,c\}}- \{a,c\}\).
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    minor characterization
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    lower bound
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    paths
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    greedoid
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    interval greedoid
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