Give an example of two non-isomorphic maximal planar graphs of the same order.

Expert Solution

Given that,

We consider the graphs on 10 vertices: and , respectively. The edges of are given below:

Now, the edges for are as follows:

These are planar graphs of order 10, (see diagrams) having 24 edges each; they are maximal since addition of an extra edge to either would make it non-planar. However, they are non-isomorphic since the maximal degrees differ: we have

.

Colby Messinger answered 2 years ago

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Give an example of two non-isomorphic maximal planar graphs of the same order.

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