Outerplanar Graph

In graph theory, an undirected graph is an outerplanar graph if it can be drawn in the plane without crossings in such a way that all of the vertices belong to the unbounded face of the drawing. That is, no vertex is totally surrounded by edges. Alternatively, a graph G is outerplanar if the graph formed from G by adding a new vertex, with edges connecting it to all the other vertices, is a planar graph.

Read more about Outerplanar Graph:  History, Forbidden Graph Characterizations, Biconnectivity and Hamiltonicity, Coloring, Related Families of Graphs, Other Properties

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