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Understanding coordinated development through spatial structure and network robustness: A case study of the Beijing-Tianjin-Hebei region
WANG Hao, ZHANG Xiaoyuan, ZHANG Xiaoyu, LIU Ruowen, NING Xiaogang
地理学报(英文版), 2024, 34(5): 1007-1036.   DOI: 10.1007/s11442-024-2237-8

Indicator name Description Equation
Network efficiency Reflects the ease of network operation, the more efficient the network, the better the network connectivity $E=\frac{1}{n\left( n-1 \right)}\sum\limits_{i=1}^{n}{\sum\limits_{j=1\left( i\ne j \right)}^{n}{{{H}_{ij}}}}$ (12)
Isolated node ratio Reflects the proportion of nodes that have no edges connected to them when the network is under attack $\Delta N=\left( 1-\frac{{{n}^{*}}}{n} \right)*100%$ (13)
Relative size of maximum connected subgraphs Reflects the size of the largest subgraph during network fragmentation in the event of an attack, providing a visual representation of the extent of network disruption $G=\frac{{{P}^{*}}}{P}$ (14)
Table 4 Network robustness evaluation indicator system
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