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I would hazard a guess that finding the number of distinct cycles in a graph is not in P, but I could be wrong about that.<br><br>Of course even if it were NP-complete that wouldn't mean your app ...
Frontiers of Computer Science (2022). [2] The complexity of Counting CSPd. Theory of Computing Systems (2021). [3] The complexity of partition functions. Theoretical Computer Science (2005).