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 TheoremExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Homeomorphic Graphs." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HomeomorphicGraphs.html