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2016 The incipient giant component in bond percolation on general finite weighted graphs
David Aldous
Electron. Commun. Probab. 21: 1-9 (2016). DOI: 10.1214/16-ECP21

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.

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David Aldous. "The incipient giant component in bond percolation on general finite weighted graphs." Electron. Commun. Probab. 21 1 - 9, 2016. https://doi.org/10.1214/16-ECP21

Information

Received: 26 April 2016; Accepted: 7 September 2016; Published: 2016
First available in Project Euclid: 21 September 2016

zbMATH: 1348.60136
MathSciNet: MR3564215
Digital Object Identifier: 10.1214/16-ECP21

Subjects:
Primary: 05C80 , 60K35

Keywords: bond percolation , Concentration inequalities , incipient giant component

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