## The incipient giant component in bond percolation on general finite weighted graphs.(English)Zbl 1348.60136

Summary: On a large finite connected graph let edges $$e$$ become “open” at independent random Exponential times of arbitrary rates $$w_e$$. Under minimal assumptions, the time at which a giant component starts to emerge is weakly concentrated around its mean.

### MSC:

 60K35 Interacting random processes; statistical mechanics type models; percolation theory 05C80 Random graphs (graph-theoretic aspects)
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