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A maximal plane graph is a plane graph G = (V, E) with n ?...

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Advance Math

A maximal plane graph is a plane graph G = (V, E) with n ? 3vertices such that if we join any two non-adjacent vertices in G,we obtain a non-plane graph.

a) Draw a maximal plane graphs on six vertices.

b) Show that a maximal plane graph on n points has 3n ? 6 edgesand 2n ? 4 faces.

c) A triangulation of an n-gon is a plane graph whose infiniteface boundary is a convex n-gon and all of whose other faces aretriangles. How many edges does a triangulation of an n-gonhave?

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IF YOU HAVE ANY DOUBTS COMMENT BELOW I WILL BE TTHERE TO HELP YOUALL THE BEST AS FOR GIVEN DATA b Let G be a planar graph with n vertices and F faces and E number of edges Now The boundary of every faces is a triangle and each edge is on the boundary of two    See Answer
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