Fractional kernels in digraphs (Q1366601)
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scientific article; zbMATH DE number 1060743
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fractional kernels in digraphs |
scientific article; zbMATH DE number 1060743 |
Statements
Fractional kernels in digraphs (English)
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15 September 1997
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We define a fractional version of the notion of ``kernels'' in digraphs, and prove that every clique-acyclic digraph (i.e., one in which no clique contains a cycle) has a fractional kernel. Using this we give a short proof of the recent result of Boros and Gurvich (proving a conjecture of Berge and Duchet) that every clique-acyclic orientation of a perfect graph has a kernel.
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digraph
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fractional kernel
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perfect graph
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