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May 20, 2014 at 15:51 comment added Jon Peterson If you let $p(t) = P(\delta > t)$ be the probability that a fixed edge is still present after time $t$, then $G_n(t)$ is an i.i.d. bond percolation on the torus with parameter $p(t)$. I don't know that much about bond percolation, but I'm guessing that there are known results on the probability that a bond percolation on the torus gives a connected graph.
May 20, 2014 at 10:33 vote accept Joseph O'Rourke
May 19, 2014 at 1:24 answer added Jan Kyncl timeline score: 5
May 19, 2014 at 0:06 answer added The Masked Avenger timeline score: 3
May 18, 2014 at 21:11 history asked Joseph O'Rourke CC BY-SA 3.0