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Planarity by Edge Addition

By John M. Boyer, May 01, 2005

Planarity is an important category in graph theory with applications ranging from circuit layout to web-site design.
May, 2005: Planarity by Edge Addition

Figure 1: (a) A cut vertex r; (b) removing r results in more connected components; (c) the biconnected components separable by r; (d) when edge (v, w) is added, r is no longer a cut vertex (by flipping the lower biconnected component, y remains on the external face).



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