Optimal orientations of products of paths and cycles (Q1377664)
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scientific article; zbMATH DE number 1109941
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal orientations of products of paths and cycles |
scientific article; zbMATH DE number 1109941 |
Statements
Optimal orientations of products of paths and cycles (English)
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10 May 1998
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For a graph \(G\), let \(d_0(G)\) be the minimum diameter of a strong orientation of \(G\). The authors consider \(\rho(G)= d_0(G)- d(G)\), where \(d(G)\) is the diameter of \(G\). It is shown that \(\rho(G)= 0\) if \(G\) is a Cartesian product of (1) paths, and (2) paths and cycles, which satisfy some mild conditions.
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distance
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directed graphs
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strong orientation
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diameter
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0.95882654
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0.9536195
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0.9402402
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0.90647364
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0.9044873
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0.90315485
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0.89763105
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0.8969017
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