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On the relationship between the diameter and the size of a boundary of a directed graph - MaRDI portal

On the relationship between the diameter and the size of a boundary of a directed graph (Q1329425)

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scientific article; zbMATH DE number 600100
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English
On the relationship between the diameter and the size of a boundary of a directed graph
scientific article; zbMATH DE number 600100

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    On the relationship between the diameter and the size of a boundary of a directed graph (English)
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    4 July 1994
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    The authors establish a lower bound for the cardinality of a boundary \(B_ D(A)\) in a digraph \(D\) (\(A\) is a set of nodes of \(D\)) whose in- degree and out-degree are both at most \(\beta\geq 2\). This estimation yields several interesting corollaries.
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    diameter
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    lower bound
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    boundary
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    digraph
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