## Electronic Communications in Probability

### The incipient giant component in bond percolation on general finite weighted graphs

David Aldous

#### Abstract

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.

#### Article information

Source
Electron. Commun. Probab., Volume 21 (2016), paper no. 68, 9 pp.

Dates
Accepted: 7 September 2016
First available in Project Euclid: 21 September 2016

https://projecteuclid.org/euclid.ecp/1474462208

Digital Object Identifier
doi:10.1214/16-ECP21

Mathematical Reviews number (MathSciNet)
MR3564215

Zentralblatt MATH identifier
1348.60136

#### Citation

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

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