\(4n-10\) (Q1764478)
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scientific article; zbMATH DE number 2138556
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(4n-10\) |
scientific article; zbMATH DE number 2138556 |
Statements
\(4n-10\) (English)
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25 February 2005
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The paper proves that the maximum number of splits in a 2-compatible split system on \(n\) vertices is \(4n-10\) for all \(n>3.\) With this it also gives the exact answer (which is \(8n-20\)) to the question of A. Karzanov, raised in 1979, about the maximum number of members in any 3-cross-free collection of subsets of an \(n\)-set.
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3-cross-free set systems
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crossing set system
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split system
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multicommodity flow
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