%0 Journal Article %1 bh01 %A Bornholdt, Stefan %A Ebel, Holger %D 2001 %I American Physical Society %J Phys. Rev. E %K bornholdt ebel networks powerlaw simon stream zipf %N 3 %P 035104 %R 10.1103/PhysRevE.64.035104 %T World Wide Web scaling exponent from Simon's 1955 model %V 64 %X The statistical properties of the World Wide Web have attracted considerable attention recently since self-similar regimes were first observed in the scaling of its link structure. One characteristic quantity is the number of (in-)links k that point to a particular web page. Its probability distribution P(k) shows a pronounced power-law scaling P(k)∼k-γ that is not readily explained by standard random graph theory. Here, we recall a simple and elegant model for scaling phenomena in general copy- and growth-processes as proposed by Simon in 1955. When combined with an experimental measurement of network growth in the World Wide Web, this classical model is able to model the in-link dynamics and predicts the scaling exponent γ=2.1 in accordance with observation.

@article{bh01, abstract = {The statistical properties of the World Wide Web have attracted considerable attention recently since self-similar regimes were first observed in the scaling of its link structure. One characteristic quantity is the number of (in-)links k that point to a particular web page. Its probability distribution P(k) shows a pronounced power-law scaling P(k)∼k-γ that is not readily explained by standard random graph theory. Here, we recall a simple and elegant model for scaling phenomena in general copy- and growth-processes as proposed by Simon in 1955. When combined with an experimental measurement of network growth in the World Wide Web, this classical model is able to model the in-link dynamics and predicts the scaling exponent γ=2.1 in accordance with observation.}, added-at = {2007-05-04T16:28:28.000+0200}, author = {Bornholdt, Stefan and Ebel, Holger}, biburl = {https://www.bibsonomy.org/bibtex/2f705adc2aecdf5b20d13e7bd42a59b3b/vitelot}, doi = {10.1103/PhysRevE.64.035104}, interhash = {d07e8cc632e04b0b42f6df4f1efe3a49}, intrahash = {f705adc2aecdf5b20d13e7bd42a59b3b}, journal = {Phys. Rev. E}, keywords = {bornholdt ebel networks powerlaw simon stream zipf}, month = Aug, note = { e-print cond-mat/0008465}, number = 3, numpages = {4}, pages = 035104, publisher = {American Physical Society}, timestamp = {2007-05-04T16:28:28.000+0200}, title = {World Wide Web scaling exponent from Simon's 1955 model}, volume = 64, year = 2001 }