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

From MaRDI portal





scientific article; zbMATH DE number 4049671
Language Label Description Also known as
English
On strong digraphs with a unique minimally strong subdigraph
scientific article; zbMATH DE number 4049671

    Statements

    On strong digraphs with a unique minimally strong subdigraph (English)
    0 references
    0 references
    0 references
    1988
    0 references
    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.
    0 references
    minimally strong digraphs
    0 references
    0 references

    Identifiers