Two graphs are homeomorphic if there is a graph isomorphism from some graph subdivision of one to some subdivision of the other.

# Homeomorphic Graphs

## See also

Graph Subdivision, Homeomorphic, Homeomorphic Subgraph, Isomorphic Graphs, Kuratowski's Theorem## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Homeomorphic Graphs."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/HomeomorphicGraphs.html