A note on line digraphs and the directed max-cut problem (Q1174433)
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scientific article; zbMATH DE number 8714
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on line digraphs and the directed max-cut problem |
scientific article; zbMATH DE number 8714 |
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A note on line digraphs and the directed max-cut problem (English)
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25 June 1992
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The support of a simple digraph is the undirected graph arising when directions of edges are ignored. The authors prove that recognizing supports of line digraphs is an NP-complete problem. Further, they observe that solvable cases of the directed max-cut problem arise from solvable cases of the maximum-weight stable set problem via supports of line digraphs. In particular, they investigate digraphs \(G\) such that the support of the line digraph \(G\) is perfect.
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undirected graph
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supports of line digraphs
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NP-complete problem
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directed max-cut problem
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maximum-weight stable set problem
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0.90589696
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0.9042127
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0.8825439
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0.8809943
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0.8808631
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0.87877005
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0.8774601
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0.87426704
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