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About: Outerplanar graph     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatPlanarGraphs, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

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

In graph theory, an outerplanar graph is a graph that has a planar drawing for which all vertices belong to the outer face of the drawing. Outerplanar graphs may be characterized (analogously to Wagner's theorem for planar graphs) by the two forbidden minors K4 and K2,3, or by their Colin de Verdière graph invariants.They have Hamiltonian cycles if and only if they are biconnected, in which case the outer face forms the unique Hamiltonian cycle. Every outerplanar graph is 3-colorable, and has degeneracy and treewidth at most 2.