Design of a d-connected digraph with a minimum number of edges and a quasiminimal diameter (Q918987)
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scientific article; zbMATH DE number 4160761
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Design of a d-connected digraph with a minimum number of edges and a quasiminimal diameter |
scientific article; zbMATH DE number 4160761 |
Statements
Design of a d-connected digraph with a minimum number of edges and a quasiminimal diameter (English)
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1990
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The diameter of any d-regular digraph with n nodes in at least \(\lceil \log_ d(n(d-1)+1)\rceil -1.\) If \(d\geq 3\) and \(n>d^ 3\) the authors construct a d-regular, d-connected digraph with n nodes and diameter at most \(\lceil \log_ dn\rceil\).
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d-regular digraph
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d-connected digraph
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