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Wolfram Language » Knowledge-based programming for everyone. In other words, no known invariant distinguishes between every pair of non-isomorphic graphs. As an aside for those of you who may know what this means probably those in computer science , the graph isomorphism is particularly interesting because it is one of a very few possibly two, the other being integer factorisation problems that are known to be in NP but that are not known to be either in P, or to be NP-complete.
Notice that the number of vertices, despite being a graph invariant, does not distinguish these two graphs. Therefore, an isomorphism between these graphs is not possible. Nonetheless, these graphs are not isomorphic. Perhaps you can think of another graph invariant that is not the same for these two graphs.
Therefore there is no isomorphism between these graphs. To avoid this problem, we fix the set of labels that we use. Skip to content. Change Language. Related Articles.
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