Table 2 Changes of measurements in quadrant with different number of nodes on each side of the quadrant
Number of nodes on each side of the quadrant | Average distance between the center node and all other nodes \(\sum_{n=1}^{N}S\left(v,n\right)/(N-1)\) | Sum of shortest possible distance between each node and the central pointa, \(\sum_{n=1}^{N}S\left(v,n\right)\) | Total number of nodes, N | Normalized closeness centrality, CN |
|---|---|---|---|---|
m | M | 1/km | ||
5 | 1342.176 | 33,554 | 25 | 0.745 |
15 | 1212.577 | 272,830 | 225 | 0.825 |
25 | 1186.662 | 741,664 | 625 | 0.843 |
50 | 1167.228 | 2,918,069 | 2500 | 0.857 |
100 | 1157.511 | 11,575,105 | 10,000 | 0.864 |
150 | 1154.272 | 25,971,110 | 22,500 | 0.866 |
200 | 1152.652 | 46,106,082 | 40,000 | 0.868 |
300 | 1151.033 | 103,592,930 | 90,000 | 0.869 |
500 | 1149.737 | 287,434,240 | 250,000 | 0.870 |
750 | 1149.089 | 646,362,654 | 562,500 | 0.870 |
1000 | 1148.765 | 1,148,765,266 | 1,000,000 | 0.871 |