کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
975044 933013 2013 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Percolation on shopping and cashback electronic commerce networks
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Percolation on shopping and cashback electronic commerce networks
چکیده انگلیسی


• We study percolation properties of Shopping and Cashback Electronic Commerce Networks.
• We derive the exact expressions for the percolation threshold of SCECNs.
• We propose arithmetic to calculate the corresponding structural measures of SCECNs.
• We observe the accuracy of our arithmetic, and give explanations on the discrepancies.
• We show those structural measures are useful to appraise the status of SCECNs.

Many realistic networks live in the form of multiple networks, including interacting networks and interdependent networks. Here we study percolation properties of a special kind of interacting networks, namely Shopping and Cashback Electronic Commerce Networks (SCECNs). We investigate two actual SCECNs to extract their structural properties, and develop a mathematical framework based on generating functions for analyzing directed interacting networks. Then we derive the necessary and sufficient condition for the absence of the system-wide giant in- and out- component, and propose arithmetic to calculate the corresponding structural measures in the sub-critical and supercritical regimes. We apply our mathematical framework and arithmetic to those two actual SCECNs to observe its accuracy, and give some explanations on the discrepancies. We show those structural measures based on our mathematical framework and arithmetic are useful to appraise the status of SCECNs. We also find that the supercritical regime of the whole network is maintained mainly by hyperlinks between different kinds of websites, while those hyperlinks between the same kinds of websites can only enlarge the sizes of in-components and out-components.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 392, Issue 12, 15 June 2013, Pages 2807–2820
نویسندگان
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