Aldous, David The incipient giant component in bond percolation on general finite weighted graphs. (English) Zbl 1348.60136 Electron. Commun. Probab. 21, Paper No. 68, 9 p. (2016). 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. Cited in 2 Documents MSC: 60K35 Interacting random processes; statistical mechanics type models; percolation theory 05C80 Random graphs (graph-theoretic aspects) Keywords:bond percolation; incipient giant component; concentration inequalities PDF BibTeX XML Cite \textit{D. Aldous}, Electron. Commun. Probab. 21, Paper No. 68, 9 p. (2016; Zbl 1348.60136) Full Text: DOI arXiv Euclid OpenURL