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arxiv: 1604.06741 · v1 · pith:JGCATA7Dnew · submitted 2016-04-22 · 🧮 math.PR

The Incipient Giant Component in Bond Percolation on General Finite Weighted Graphs

classification 🧮 math.PR
keywords componentfinitegiantarbitraryaroundassumptionsbecomebond
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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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