All facets of the cut cone \(C_ n\) for \(n=7\) are known (Q1813725)
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scientific article; zbMATH DE number 4902
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | All facets of the cut cone \(C_ n\) for \(n=7\) are known |
scientific article; zbMATH DE number 4902 |
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All facets of the cut cone \(C_ n\) for \(n=7\) are known (English)
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25 June 1992
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The cut cone \(C_ n\) is the cone generated by the characteristic vectors of all cuts of a complete graph on \(n\) vertices. A list of 11 types of facets of the cone \(C_ 7\) is described in \textit{M. Deza} and \textit{M. Laurent}, ``Facets of the complete cut cone,'' Res. Mem. RMI, pp. 88-113, 1988. The paper shows that this list is complete.
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cut cone
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complete graph
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facets
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