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The problem is only minimally different from subgraph isomorphism. Replacing implication by equivalence would change the latter into the former. Moreover, the new page does not provide any new references nor any pointers to results specifically about this problem. As long as this is the case, a new
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I added a small section on differences from a computational complexity point of view between the two problems, as well as a few references (not to my own work).
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