Large graphs with given degree and diameter. II (Q793749)
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scientific article; zbMATH DE number 3857149
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Large graphs with given degree and diameter. II |
scientific article; zbMATH DE number 3857149 |
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Large graphs with given degree and diameter. II (English)
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1984
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[For part I cf. Ann. Discrete Math. 17, 65-73 (1983; Zbl 0527.05041; for part III cf. Ann. Discrete Math. 13, 23-31 (1982; Zbl 0495.05037).] The (\(\Delta\),D) graph problem consists of finding the maximum number of vertices of a graph with a given maximum degree \(\Delta\) and diameter D. The authors define a new product of graphs concept. Using this they construct graphs of a given maximum degree and diameter having a number of vertices larger than the largest known values.
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interconnection networks
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maximum degree
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diameter
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product of graphs
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0.96714157
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0.9433502
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0.9366989
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0.93088293
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0.9295079
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0.9133241
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