کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
11023310 | 1701307 | 2019 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Global Rényi index of the distance matrix
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
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چکیده انگلیسی
In previous studies, the heterogeneity of complex networks has been extensively studied. In our study, the heterogeneity of distance matrices is studied based on the Rényi index of networks. We define a new metric and name it global Rényi index (GRI), and prove several properties. In particular, the GRI value of the distance matrix corresponding to the evenly distributed point set in the Euclidean space is zero. Some model data were used to clarify the geometric meanings of GRI, and then we studied the GRI value of financial data. The results show that the GRI value in the real market changes drastically and is significantly different from the GRI value of the model-generated data. These results suggest that the proposed concept (GRI) is meaningful to the study distance matrix and provides a new perspective based on the network.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 514, 15 January 2019, Pages 902-915
Journal: Physica A: Statistical Mechanics and its Applications - Volume 514, 15 January 2019, Pages 902-915
نویسندگان
Chun-Xiao Nie, Fu-Tie Song,