کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7379500 | 1480140 | 2015 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Exactly scale-free scale-free networks
ترجمه فارسی عنوان
شبکه های بدون مقیاس آزاد بدون مقیاس
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کلمات کلیدی
شبکه های بدون مقیاس، قانون قدرت، شبکه های پیچیده
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
چکیده انگلیسی
Many complex natural and physical systems exhibit patterns of interconnection that conform, approximately, to a network structure referred to as scale-free. Preferential attachment is one of many algorithms that have been introduced to model the growth and structure of scale-free networks. With so many different models of scale-free networks it is unclear what properties of scale-free networks are typical, and what properties are peculiarities of a particular growth or construction process. We propose a simple maximum entropy process which provides the best representation of what are typical properties of scale-free networks, and provides a standard against which real and algorithmically generated networks can be compared. As an example we consider preferential attachment and find that this particular growth model does not yield typical realizations of scale-free networks. In particular, the widely discussed “fragility” of scale-free networks is actually found to be due to the peculiar “hub-centric” structure of preferential attachment networks. We provide a method to generate or remove this latent hub-centric bias-thereby demonstrating exactly which features of preferential attachment networks are atypical of the broader class of scale-free networks. We are also able to statistically demonstrate whether real networks are typical realizations of scale-free networks, or networks with that particular degree distribution; using a new surrogate generation method for complex networks, exactly analogous the widely used surrogate tests of nonlinear time series analysis.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 433, 1 September 2015, Pages 182-197
Journal: Physica A: Statistical Mechanics and its Applications - Volume 433, 1 September 2015, Pages 182-197
نویسندگان
Linjun Zhang, Michael Small, Kevin Judd,