DOUBLE POWER-LAW DEGREE DISTRIBUTION AND INFORMATIONAL ENTROPY IN URBAN ROAD NETWORKS

被引：3

作者：

Jiang, Jian ^{[1
,2
,3
]}

Metz, Frederic ^{[2
]}

Beck, Christophe ^{[2
]}

Lefevre, Sebastien ^{[2
]}

Chen, Jincan ^{[2
,4
]}

Wang, Qiuping A. ^{[2
,3
]}

Pezeril, Michel ^{[3
]}

机构：

[1] Hua Zhong Cent China Normal Univ, Inst Particle Phys, Complex Sci Ctr, Wuhan 430079, Peoples R China

[2] Inst Super Mat & Mecan Avances, F-72000 Le Mans, France

[3] Univ Maine, Fac Sci & Tech, LPEC, F-72035 Le Mans, France

[4] Xiamen Univ, Dept Phys, Xiamen 361005, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2011年 / 22卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Urban road networks; degree distribution; double power-law; crossing point; entropy; STATISTICS; SYSTEMS;

D O I：

10.1142/S0129183111016075

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The double power-law function ,p(x) similar to 1/(x(b) + cx(d)) where x is the degree of one node, and b, c, d are parameters, is used to fit the degree distribution of urban road network of Le Mans city in France. It is called "double power-law" since it behaves as two power laws respectively, in large and small degree region with a crossing in-between. The position of the crossing point is derived as a function of the three parameters. The probabilistic uncertainty of this law is studied with two possible information measures: a generalized measure called varentropy and the Shannon entropy formula.

引用

页码：13 / 20

页数：8

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