Homeomorphism (graph theory)
Example

In the following example, graph G and graph H are homeomorphic.

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:

Therefore, there exists an isomorphism between G' and H', meaning G and H are homeomorphic.
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