Electronic Communications in Probability
- Electron. Commun. Probab.
- Volume 21 (2016), paper no. 68, 9 pp.
The incipient giant component in bond percolation on general finite weighted graphs
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.
Electron. Commun. Probab., Volume 21 (2016), paper no. 68, 9 pp.
Received: 26 April 2016
Accepted: 7 September 2016
First available in Project Euclid: 21 September 2016
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Aldous, David. The incipient giant component in bond percolation on general finite weighted graphs. Electron. Commun. Probab. 21 (2016), paper no. 68, 9 pp. doi:10.1214/16-ECP21. https://projecteuclid.org/euclid.ecp/1474462208