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On strong digraphs with a unique minimally strong subdigraph - MaRDI portal

On strong digraphs with a unique minimally strong subdigraph (Q1102301)

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scientific article; zbMATH DE number 4049671
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English
On strong digraphs with a unique minimally strong subdigraph
scientific article; zbMATH DE number 4049671

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    On strong digraphs with a unique minimally strong subdigraph (English)
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    1988
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    A digraph is minimally strong if it is strong but no proper spanning subdigraph is strong. The authors show that if a strong digraph \(D_ n\) has a unique minimally strong subdigraph then \(D_ n\) has at most \(n(n- 1)/2+1\) edges with equality holding only if \(D_ n\) is isomorphic to a particular digraph.
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    minimally strong digraphs
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