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- W2023097515 abstract "We use the generating function formalism to calculate the fractal dimensions for the percolating cluster at criticality in Erdős–Rényi (ER) and random scale free (SF) networks, with degree distribution P(k)=ck−λ. We show that the chemical dimension is dl=2 for ER and SF networks with λ>4, as in percolation in d⩾dc=6 dimensions. For 3<λ<4 we show that dl=(λ−2)/(λ−3). The fractal dimension is df=4 (λ>4) and df=2(λ−2)/(λ−3) (3<λ<4), and the embedding dimension is dc=6 (λ>4) and dc=2(λ−1)/(λ−3) (3<λ<4). We discuss the meaning of these dimensions for networks." @default.
- W2023097515 created "2016-06-24" @default.
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- W2023097515 date "2004-05-01" @default.
- W2023097515 modified "2023-10-01" @default.
- W2023097515 title "Fractal dimensions of percolating networks" @default.
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- W2023097515 doi "https://doi.org/10.1016/j.physa.2004.01.005" @default.
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