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An outerplanar graph is an undirected graph each of whose vertices can be placed on circle in such a way that no edges. (Drawn as

An outerplanar graph is an undirected graph each of whose vertices can be placed on circle in such a way that no edges. (Drawn as straight lines) cross each other. Below are two examples of outerplanar graphs.

a. For each of the following, either give an outerplanar drawing for the graph, or argue why the graph is not outerplanar:

i. The complete graph on 3 vertices.

ii. The complete graph on 4 vertices.

b. Give an outerplanar drawing of the following graph (place all vertices on a circle):

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