A prime decomposition theorem for handcuff graphs in \(S^{3}\) (Q2463876)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A prime decomposition theorem for handcuff graphs in \(S^{3}\) |
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A prime decomposition theorem for handcuff graphs in \(S^{3}\) (English)
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6 December 2007
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The author generalizes the definition of a prime decomposition which he defined earlier for \(\theta_n\) curves to a prime decomposition for handcuff graphs which are graphs in the \(3\)-sphere consisting of two circles joined by an edge. The main result is that every irreducible handcuff graph can be uniquely decomposed into a finite number of prime handcuff graphs and \(\theta\) curves.
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spatial graph
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\(\theta \)-curve
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handcuff
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decomposition
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