کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5103298 1480107 2017 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analytic solutions for links and triangles distributions in finite Barabási-Albert networks
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Analytic solutions for links and triangles distributions in finite Barabási-Albert networks
چکیده انگلیسی
Barabási-Albert model describes many different natural networks, often yielding sensible explanations to the subjacent dynamics. However, finite size effects may prevent from discerning among different underlying physical mechanisms and from determining whether a particular finite system is driven by Barabási-Albert dynamics. Here we propose master equations for the evolution of the degrees, links and triangles distributions, solve them both analytically and by numerical iteration, and compare with numerical simulations. The analytic solutions for all these distributions predict the network evolution for systems as small as 100 nodes. The analytic method we developed is applicable for other classes of networks, representing a powerful tool to investigate the evolution of natural networks.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 466, 15 January 2017, Pages 105-110
نویسندگان
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