Two families of graphs satisfying the cycle basis interpolation property (Q757419)
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scientific article; zbMATH DE number 4191705
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two families of graphs satisfying the cycle basis interpolation property |
scientific article; zbMATH DE number 4191705 |
Statements
Two families of graphs satisfying the cycle basis interpolation property (English)
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1990
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Let \(c^-\) and \(c^+\) be the sum of the lengths of the cycles comprising a minimal and a maximal cycle basis of a graph G, respectively. G has the cycle basis interpolation property (cbip) if for any integer c, \(c^-\leq c\leq c^+\), G has a cycle basis of length c. The author constructs two families of graphs, snake-graphs and kite- graphs, that have the cbip, giving explicitly a maximal cycle basis for each type.
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cycle basis interpolation property
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snake-graphs
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kite-graphs
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