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Scale-free Network
Scale-Free Network
Recent interest in scale-free networks started in 1999 with work by Albert-Laszlo Barabasi Barabasi and collaborators History coined the term"scale-free networkto describe the class of networks that exhibit a power-law degree distribution p(k)kY,y=3 1965 1976 Price Price the number of links to papers had a heavy cumulative advantage tailed distribution following a Pareto distribution or power law
History Recent interest in scale-free networks started in 1999 with work by Albert-László Barabási . Barabási and collaborators coined the term "scale-free network" to describe the class of networks that exhibit a power-law degree distribution. 𝑝 𝑘 ~𝑘 _ 𝛾 ,γ=3 1965 1976 Price Price the number of links to papers had a heavy- cumulative advantage tailed distribution following a Pareto distribution or power law
Generation mechanism Preferential HOT theory attachment generation Random orocess z<m20
generation Y O U R B R A N D Preferential attachment Self-organized criticality HOT theory Random process Generation mechanism
Broken power law Power Law with Curved power law exponential cutoff ∫(x)∝ I for a<zth, f(a) 2 for a >th f(x)xx°e f(x)∝x+x Another common distribution: power-aw with an exponential cutoff Variants lass ISolar mass]
Variants Broken Power Law Power Law with Curved Power Law exponential cutoff