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• W2080478510 abstract "We find that scale-free random networks are excellently modeled by simple deterministic graphs. Our graph has a discrete degree distribution (degree is the number of connections of a vertex), which is characterized by a power law with exponent gamma=1+ln 3/ln 2. Properties of this compact structure are surprisingly close to those of growing random scale-free networks with gamma in the most interesting region, between 2 and 3. We succeed to find exactly and numerically with high precision all main characteristics of the graph. In particular, we obtain the exact shortest-path-length distribution. For a large network (ln N>>1) the distribution tends to a Gaussian of width approximately sqrt[ln N] centered at (-)l approximately ln N. We show that the eigenvalue spectrum of the adjacency matrix of the graph has a power-law tail with exponent 2+gamma." @default.
• W2080478510 created "2016-06-24" @default.
• W2080478510 creator A5002496858 @default.
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• W2080478510 date "2002-06-25" @default.
• W2080478510 modified "2023-09-24" @default.
• W2080478510 title "Pseudofractal scale-free web" @default.
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• W2080478510 doi "https://doi.org/10.1103/physreve.65.066122" @default.
• W2080478510 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/12188798" @default.
• W2080478510 hasPublicationYear "2002" @default.
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