Example
In the following example, graph G and graph H are homeomorphic.
G
H
If G' is the graph created by subdivision of the outer edges of G and H' is the graph created by subdivision of the inner edge of H, then G' and H' have a similar graph drawing:
G', H'
Therefore, there exists an isomorphism between G' and H', meaning G and H are homeomorphic.
Read more about this topic: Homeomorphism (graph Theory)
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