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On a generalization of transitivity for digraphs - MaRDI portal

On a generalization of transitivity for digraphs (Q1100476)

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scientific article; zbMATH DE number 4043865
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On a generalization of transitivity for digraphs
scientific article; zbMATH DE number 4043865

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    On a generalization of transitivity for digraphs (English)
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    1988
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    A digraph D is (m-n)-transitive whenever there is a path of length m from x to y there is a subset of \(n+1\) vertices of these \(m+1\) vertices which contain a path of length n from x to y. The authors study properties of these digraphs, in particular (m,1)-transitive digraphs; (m,1)-transitive tournaments are characterized. They give some directions to be pursued.
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    transitivity
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    transitive digraphs
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    tournaments
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