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- W2055514922 abstract "A scale-free tree with the parameter β is very close to a star if β is just a bit larger than −1, whereas it is close to a random recursive tree if β is very large. Through the Zagreb index, we consider the whole scene of the evolution of the scale-free trees model as β goes from −1 to + ∞. The critical values of β are shown to be the first several nonnegative integer numbers. We get the first two moments and the asymptotic behaviors of this index of a scale-free tree for all β. The generalized plane-oriented recursive trees model is also mentioned in passing, as well as the Gordon-Scantlebury and the Platt indices, which are closely related to the Zagreb index." @default.
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- W2055514922 date "2013-06-01" @default.
- W2055514922 modified "2023-10-14" @default.
- W2055514922 title "Phase Changes in the Topological Indices of Scale-Free Trees" @default.
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- W2055514922 doi "https://doi.org/10.1239/jap/1371648958" @default.
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