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词汇 biconnected
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Examples of biconnected


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The reason why the decomposition into biconnected components of a graph is so useful is that biconnected outerplanar graphs have a simple structure.
Any connected graph decomposes into a tree of biconnected components called the block tree of the graph.
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A biconnected component is a 2-connected component.
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Similarly, a directed graph is biconnected if, for every two vertices, there exists a simple cycle in the graph containing both of them.
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Wikipedia

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Therefore, if the cycle double cover conjecture is true, every biconnected graph has a circular embedding.
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Wikipedia

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The circular embedding conjecture or strong embedding conjecture states that every biconnected graph has a circular embedding onto a manifold.
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Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
A 1-connected graph is called connected; a 2-connected graph is called biconnected.
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Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.


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