A simple new proof of the fundamental theorem for finite linear spaces (Q480398)
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scientific article; zbMATH DE number 6378254
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A simple new proof of the fundamental theorem for finite linear spaces |
scientific article; zbMATH DE number 6378254 |
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A simple new proof of the fundamental theorem for finite linear spaces (English)
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8 December 2014
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In this paper, the authors give a particularly simple proof of the fundamental theorem of finite linear spaces known as De Bruijn-Erdős theorem: In a finite linear space \((S,L)\) with \(v\) points and \(b\) lines it is \(b \geq v\). Equality holds if and only if \((S,L)\) is either a projective plane or a near pencil.
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linear space
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projective plane
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incidence geometry
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