Journal of Statistical Mechanics: Theory and Experiment
Volume 2007
June 2007
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Dylan Walker et al J. Stat. Mech. (2007) P06010 doi:10.1088/1742-5468/2007/06/P06010
Ranking scientific publications using a model of network traffic
Dylan Walker1,2, Huafeng Xie2,3, Koon-Kiu Yan1,2 and Sergei Maslov2
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| Figure 1. The Pearson (linear) correlation coefficient between the number of recent citations accrued (Δkin) and CiteRank traffic (Ti) is calculated over the parameter space of the CiteRank model for the Hep-th (A) and Physrev (B) network. Both networks exhibit peaks in correlation coefficient in the α-τdir plane. The highest correlation is achieved for α = 0.48, τdir = 1 year in the Hep-th network and α = 0.50, τdir = 2.6 years in the Physrev network. |
| Figure 2. The Spearman rank correlation coefficient between recent citations accrued (Δkin) and CiteRank traffic (Ti) for the Hep-th (A) and Physrev (B) network. Both networks exhibit similar behaviour. There are more extended regions of good correlation relative to the linear correlation contours of figure 1. This broadening is expected as a consequence of the more relaxed correlation measure. The highest rank correlation occurs for α = 0.31, τdir = 1.6 years, in the Hep-th network and α = 0.55, τdir = 8 years, in the Physrev network. |
| Figure 3. The scatter plot of CiteRank versus PageRank for all papers in the Physrev network. Two sectors of the data are distinguished according to the CiteRank to PageRank ratio: CR/PR > 2 (above the dashed green line) and CR/PR < 1/2 (below the dashed red line). The average publication year of papers in these sectors is 2000 and 1973, respectively. The sophistication of CiteRank goes beyond simple age classification, however. Particular examples that illustrate this sophistication are marked above and discussed in the main body of the text. |
| Figure 4. The age distribution of newly accrued citations Δkin (blue) for the Physrev network. Theoretical predictions (4) for the CiteRank traffic are calculated for the optimal τdir = 2.6 and three values of α = 0.2 (dotted–dashed line), 0.5 (thick solid line) and 0.9 (dashed line). In agreement with figure 1, the optimal value, α = 0.5, provides the best agreement with Δkin. All curves are normalized so that the sum of all data points is equal to 1. |
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