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About: Peripheral cycle     Goto   Sponge   NotDistinct   Permalink

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Type: yago:Abstraction100002137yago:Communication100033020yago:Graph107000195yago:VisualCommunication106873252yago:WikicatPlanarGraphs New Facet based on Instances of this Class

In graph theory, a peripheral cycle (or peripheral circuit) in an undirected graph is, intuitively, a cycle that does not separate any part of the graph from any other part. Peripheral cycles (or, as they were initially called, peripheral polygons, because Tutte called cycles "polygons") were first studied by , and play important roles in the characterization of planar graphs and in generating the cycle spaces of nonplanar graphs.