Universal Behavior for Bond Percolation
Abstract
We collect together results for bond percolation on various lattices from two to fourteen dimensions which, in the limit of large dimension d or number of neighbors z, smoothly approach a randomly diluted Erdos-R\'enyi graph. We include new results on bond diluted hyper-sphere packs in up to nine dimensions, which show the mean coordination, excess kurtosis and skewness evolving smoothly with dimension towards the Erdos-R\'enyi limit.
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