In-Degree and PageRank of Web pages: Why do they follow similar power laws?
| dc.creator | Litvak, N. | |
| dc.creator | Scheinhardt, W. R. W. | |
| dc.creator | Volkovich, Y. | |
| dc.date | 2006-07-20 | |
| dc.date | 2006-12-04 | |
| dc.date.accessioned | 2026-07-07T07:20:45Z | |
| dc.date.available | 2026-07-07T07:20:45Z | |
| dc.description | The PageRank is a popularity measure designed by Google to rank Web pages. Experiments confirm that the PageRank obeys a `power law' with the same exponent as the In-Degree. This paper presents a novel mathematical model that explains this phenomenon. The relation between the PageRank and In-Degree is modelled through a stochastic equation, which is inspired by the original definition of the PageRank, and is analogous to the well-known distributional identity for the busy period in the M/G/1 queue. Further, we employ the theory of regular variation and Tauberian theorems to analytically prove that the tail behavior of the PageRank and the In-Degree differ only by a multiplicative factor, for which we derive a closed-form expression. Our analytical results are in good agreement with experimental data. | |
| dc.description | 20 pages, 3 figures; typos added; reference added | |
| dc.identifier | https://arxiv.org/abs/math/0607507 | |
| dc.identifier | http://arxiv.org/abs/math/0607507 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115058 | |
| dc.subject | Probability | |
| dc.subject | Information Retrieval | |
| dc.subject | 90B15, 68P10, 40E05 | |
| dc.title | In-Degree and PageRank of Web pages: Why do they follow similar power laws? | |
| dc.type | text |