| Row–column visibility graph approach to two-dimensional landscapes |
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| 引用本文： | 肖琴,潘雪,李信利,Mutua Stephen,杨会杰,蒋艳,王建勇,张庆军.Row–column visibility graph approach to two-dimensional landscapes[J].中国物理 B,2014(7):767-774. |
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| 作者姓名： | 肖琴 潘雪 李信利 Mutua Stephen 杨会杰 蒋艳 王建勇 张庆军 |
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| 作者单位： | Business School,University of Shanghai for Science and Technology;Logistic School,Linyi University;Computer Science Department,Masinde Muliro University of Science and Technology,P.O. Box 190-50100,Kakamega,Kenya;Department of Physics,Xingtai College;Analysis and Testing Center,Hebei Polytechnic University |
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| 基金项目： | supported by the National Natural Science Foundation of China(Grant No.10975099);the Program for Professor of Special Appointment(Eastern Scholar)at Shanghai Institutions of Higher Learning,China;the Innovation Program of Shanghai Municipal Education Commission,China(GrantNo.13YZ072);the Shanghai Leading Discipline Project,China(Grant No.XTKX2012);the Innovation Fund Project for Graduate Students of Shanghai,China(Grant No.JWCXSL1302) |
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| 摘 要： | A new concept, called the row–column visibility graph, is proposed to map two-dimensional landscapes to complex networks. A cluster coverage is introduced to describe the extensive property of node clusters on a Euclidean lattice. Graphs mapped from fractals generated with the probability redistribution model behave scale-free. They have pattern-induced hierarchical organizations and comparatively much more extensive structures. The scale-free exponent has a negative correlation with the Hurst exponent, however, there is no deterministic relation between them. Graphs for fractals generated with the midpoint displacement model are exponential networks. When the Hurst exponent is large enough(e.g., H >0.5), the degree distribution decays much more slowly, the average coverage becomes significant large, and the initially hierarchical structure at H < 0.5 is destroyed completely. Hence, the row–column visibility graph can be used to detect the pattern-related new characteristics of two-dimensional landscapes.
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| 关 键 词： | row–column visibility graph landscape roughness |
Row-column visibility graph approach to two-dimensional landscapes |
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| Xiao Qin,;Pan Xue,;Li Xin-Li,;Mutua Stephen,;Yang Hui-Jie,;Jiang Yan,;Wang Jian-Yong,;Zhang Qing-Jun.Row-column visibility graph approach to two-dimensional landscapes[J].Chinese Physics B,2014(7):767-774. |
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| Authors: | Xiao Qin ;Pan Xue ;Li Xin-Li ;Mutua Stephen ;Yang Hui-Jie ;Jiang Yan ;Wang Jian-Yong ;Zhang Qing-Jun |
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| Abstract: | row--column visibility graph, landscape, roughness |
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| Keywords: | row--column visibility graph landscape roughness |
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