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Examples ofbiconnected
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The reason why the decomposition intobiconnectedcomponents of a graph is so useful is thatbiconnectedouterplanar graphs have a simple structure.
From theCambridge English Corpus
Any connected graph decomposes into a tree ofbiconnectedcomponents called the block tree of the graph.
From
This example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Abiconnectedcomponent is a 2-connected component.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Similarly, a directed graph isbiconnectedif, for every two vertices, there exists a simple cycle in the graph containing both of them.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Therefore, if the cycle double cover conjecture is true, everybiconnectedgraph has a circular embedding.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.The circular embedding conjecture or strong embedding conjecture states that everybiconnectedgraph has a circular embedding onto a manifold.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
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 calledbiconnected.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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