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If I have a graph with $X$ vertices, and $Y$ edges, where $Y$ is between $X-1$ and $(X(X-1))/2$, how can I count the number of unique ways to connect the graph (strictly no more than two paths between the two same points)?

Kola B.
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Looks like we're doing the same challenge ;). So far the best resource I found on this topic is http://oeis.org/A062734 but I'm not sure that the formula/mathematica expression is still valid for n=20 and I have not yet translated it to python. I plan to consult the referenced books, maybe tomorrow.

Vincent T
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  • Welcome to Math.SE. Link-only answers are discouraged -- can you add some information that answers the question? As it is now this doesn't really answer the question. – Null Dec 10 '14 at 00:05
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    You're right, but I would have loved to be able to comment the question instead of "answering" it to give this link, but so far I do not have enough reputation point to comment it. I find it strange that noob are not allowed to comment and get reputation also for pertinent comment vs bad reputation for off topic comment/spam. – Vincent T Dec 10 '14 at 00:11