On the number of inductively minimal geometries (Q5941499)
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scientific article; zbMATH DE number 1635692
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the number of inductively minimal geometries |
scientific article; zbMATH DE number 1635692 |
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On the number of inductively minimal geometries (English)
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20 August 2001
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We count the number of inductively minimal geometries for any given rank by exhibiting a correspondence between the inductively minimal geometries of rank \(n\) and the trees with \(n+1\) vertices. The proof of this correspondence uses the van Rooij-Wilf characterization of line graphs.
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incidence geometry
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inductively minimal geometry
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line graph
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diagram
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tree
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0.9424679
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0.91323864
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0.87185884
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