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<p>problem of determining whether a <a href="page.php?w=graph_isomorphism">graph isomorphism</a> exists between two graphs.  Two graphs are <a href="page.php?w=isomorphic">isomorphic</a> if one can be <a href="page.php?w=isomorphism">transformed</a> into the other simply by renaming <a href="page.php?w=vertex_%28graph_theory%29">vertices</a>. Consider these two problems:<br/>
* Graph Isomorphism: Is graph G<sub>1</sub> isomorphic to graph G<sub>2</sub>?<br/>
* Subgraph Isomorphism: Is graph G<sub>1</sub> isomorphic to a subgraph of graph G<sub>2</sub>?</p><p>
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