Table 1 Comparison of network robustness measures.

Comparison of network robustness measures.. We provide the average Ricci curvature, average global network entropy, average shortest path, and average graph diameter computed over a period of 1 year beginning with 1 January of each year with a window T = 22 days and a threshold of ξ = 0.85. As seen in the graph, a correlation between curvature and well-known measures of fragility.

MeasureJan
1998
Jan
1999
Jan
2000
Jan
2001
Jan
2002
Jan
2003
Jan
2004
Jan
2005
Jan
2006
Jan
2007
Jan
2008
Jan
2009
Jan
2010
Jan
2011
Jan
2012
Curvature−0.297−0.304−0.285−0.218−0.0166−0.256−0.253−0.214−0.245−0.218−0.068−0.141−0.1010.023−0.0255
Entropy0.9410.8620.9091.1231.5051.1931.0221.1281.0661.3162.1591.7452.1052.6881.282
Shortest path12.41213.81114.91012.9519.36210.19912.29111.84512.4139.6367.1868.0607.4696.2089.545
Diameter31.36134.72638.21033.18625.50027.39731.25029.92931.49425.06421.04422.48020.96417.77025.144