Graph Isomorphism 

The graph isomorphism problem is to determine whether or not
two graphs, G=<V,E> and G'=<V',E'>, are isomorphic.
That is, does there exist a function The computational complexity of graph isomorphism is open in that
it is clearly in NP but is not known to be in P or in NPC [as of 2010].
The more general
One approach to graph isomorphism is to find canonical labellings, canon(G) of G, and canon(G') of G', G and G' being isomorphic iff canon(G)=canon(G'). (The computational complexity of the canonical labelling problem is therefore also open.) ReadingSearch for 

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