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In graph theory, two graphs G {\displaystyle G} and G ′ {\displaystyle G'} are homeomorphic if there is a graph isomorphism from some subdivision of G {\displaystyle G} to some subdivision of G ′ {\displaystyle G'}. If the edges of a graph are thought of as lines drawn from one vertex to another , then two graphs are homeomorphic to each other in the graph-theoretic sense precisely if they are homeomorphic in the topological sense.
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