Measuring fractal dimension of metro systems

4th International Workshop on Statistical Physics and Mathematics for Complex Systems

物理学;数学

Deng, S.^1 ; Li, W.^1,2 ; Gu, J.^3 ; Zhu, Y.^1,4,5 ; Zhao, L.^1 ; Han, J.^1

College of Physical Science and Technology, Central China Normal University, Wuhan

430079, China^1

Max-Planck-Institute for Mathematics in the Science, Inselstr. 22, Lepzig

04103, Germany^2

Mathematics and Science College, Shanghai Normal University, Shanghai

200234, China^3

ISMANS, LUNAM Université, 44 av. Bartholdi, Le Mans

72000, France^4

IMMM, UMR CNRS 6283, Université du Maine, Le Mans

72085, France^5

关键词: Fractal geometry;    Metro networks;    Metro system;    Scaling relations;    Small networks;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/604/1/012005/pdf
DOI  :  10.1088/1742-6596/604/1/012005

来源: IOP

【 摘 要 】

We discuss cluster growing method and box-covering method as well as their connection to fractal geometry. Our measurements show that for small network systems, box-covering method gives a better scaling relation. We then measure both unweighted and weighted metro networks with optimal box-covering method.