dorsal/arxiv
View SchemaA directed network model for World-Wide Web
| Authors | Jian-Guo Liu, Yan-Zhong Dang, Zhong-Tuo Wang, Tao Zhou |
|---|---|
| Categories | |
| ArXiv ID | physics/0510064 |
| URL | https://arxiv.org/abs/physics/0510064 |
| DOI | 10.1016/j.physa.2006.03.054 |
| Journal | Physica A 371, 861-869 (2006) |
Abstract
In this paper, a directed network model for world-wide web is presented. The out-degree of the added nodes are supposed to be scale-free and its mean value is $m$. This model exhibits small-world effect, which means the corresponding networks are of very short average distance and highly large clustering coefficient. More interesting, the in-degree distribution obeys the power-law form with the exponent $\gamma=2+1/m$, depending on the average out-degree. This finding is supported by the empirical data, which has not been emphasized by the previous studies on directed networks.
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"abstract": "In this paper, a directed network model for world-wide web is presented. The\nout-degree of the added nodes are supposed to be scale-free and its mean value\nis $m$. This model exhibits small-world effect, which means the corresponding\nnetworks are of very short average distance and highly large clustering\ncoefficient. More interesting, the in-degree distribution obeys the power-law\nform with the exponent $\\gamma=2+1/m$, depending on the average out-degree.\nThis finding is supported by the empirical data, which has not been emphasized\nby the previous studies on directed networks.",
"arxiv_id": "physics/0510064",
"authors": [
"Jian-Guo Liu",
"Yan-Zhong Dang",
"Zhong-Tuo Wang",
"Tao Zhou"
],
"categories": [
"physics.soc-ph"
],
"doi": "10.1016/j.physa.2006.03.054",
"journal_ref": "Physica A 371, 861-869 (2006)",
"title": "A directed network model for World-Wide Web",
"url": "https://arxiv.org/abs/physics/0510064"
},
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