let $Y$ be the random variable of the amount of triangles in a given graph. what is the distribution of $Y$? I tried looking at the probability of $I_{i,j,k}$ the indicator of 3 given nodes having a triangle, and I came to a conclusion that $P(I_{i,j,k}=1) = p^3$. but each $I_{i,j,k}$ depends on its neighboring nodes indicators, so it can not be binomial. thank you!
2026-03-27 13:19:26.1774617566
the distribution of triangles in a general $G(n,p)$ graph
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