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Jun 22, 2023 at 14:24 comment added Dmitry So, basically, you are interested in Moment generating function for the number of triangles in Erdos-Renyi$(n, \frac 12)$.
Jun 22, 2023 at 14:09 comment added Dmitry I assume that $G$ is the set of all simple undirected graphs on $n$ nodes. I didn't find the solution, but maybe the following will help. It suffices to know the distribution of the number of triangles in an Erdos-Renyi graph with $p= \frac 12$. Basically, something like stats.stackexchange.com/questions/338267/…, but you need to know the whole distribution.
Jun 22, 2023 at 13:42 comment added SagarM @InuyashaYagami Partition function is a bad name here inspired from physics/statistics/Machine Learning. But it does not matter, I have edited the question to just have it as $Z(w)$. But if you are interested: en.wikipedia.org/wiki/…
Jun 22, 2023 at 13:39 history edited SagarM CC BY-SA 4.0
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Jun 22, 2023 at 10:58 history asked SagarM CC BY-SA 4.0