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- W4239496348 abstract "We consider a family of long-range percolation models ( G p ) p >0 on ℤ d that allow dependence between edges and have the following connectivity properties for p ∈ (1/ d , ∞): (i) the degree distribution of vertices in G p has a power-law distribution; (ii) the graph distance between points x and y is bounded by a multiple of log pd log pd | x - y | with probability 1 - o (1); and (iii) an adversary can delete a relatively small number of nodes from G p (ℤ d ∩ [0, n ] d ), resulting in two large, disconnected subgraphs." @default.
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- W4239496348 date "2006-09-01" @default.
- W4239496348 modified "2023-10-18" @default.
- W4239496348 title "Ultra-small scale-free geometric networks" @default.
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- W4239496348 doi "https://doi.org/10.1017/s0021900200002011" @default.
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