TABLE I.

Values of different bias ratios. Top panel: 〈b₁∣f_n, f_e〉, the average ratio of sampled shortest path lengths to unsampled shortest path lengths. Middle panel: 〈b₂∣f_n, f_e〉, the average ratio of unsampled shortest path lengths to actual path lengths. Bottom panel: 〈b₃∣f_n, f_e〉, the average ratio of sampled shortest path lengths to actual path lengths. All ratios are tabulated according to f_n and f_e. The value in the bottom right corner for f_n = f_e = 0.30 in the top and bottom panels deviates from the trend present in the two tables. As this value corresponding to the greatest degree of sampling (both tables deal with sampled path lengths) and hence to the least number of data points in the average, it is likely a statistical fluctuation.

fn∣fe	0.00	0.05	0.10	0.15	0.20	0.25	0.30
0.00	1.00	1.07	1.14	1.20	1.27	1.34	1.41
0.05	1.05	1.11	1.18	1.25	1.33	1.40	1.48
0.10	1.08	1.16	1.23	1.31	1.38	1.46	1.54
0.15	1.12	1.20	1.28	1.36	1.45	1.52	1.59
0.20	1.16	1.24	1.33	1.42	1.50	1.57	1.63
0.25	1.20	1.29	1.38	1.46	1.54	1.60	1.64
0.30	1.23	1.33	1.42	1.50	1.57	1.60	1.51
fn∣fe	0.00	0.05	0.10	0.15	0.20	0.25	0.30
0.00	0.93	0.92	0.92	0.91	0.91	0.91	0.90
0.05	0.92	0.92	0.91	0.91	0.90	0.90	0.89
0.10	0.92	0.92	0.91	0.90	0.90	0.89	0.88
0.15	0.92	0.91	0.90	0.90	0.89	0.88	0.86
0.20	0.91	0.90	0.90	0.89	0.88	0.86	0.84
0.25	0.91	0.90	0.89	0.88	0.86	0.84	0.82
0.30	0.90	0.89	0.88	0.86	0.84	0.81	0.77
fn∣fe	0.00	0.05	0.10	0.15	0.20	0.25	0.30
0.00	0.93	0.99	1.05	1.10	1.16	1.22	1.27
0.05	0.96	1.02	1.08	1.14	1.20	1.26	1.32
0.10	1.00	1.06	1.12	1.18	1.25	1.31	1.36
0.15	1.03	1.09	1.16	1.22	1.29	1.34	1.39
0.20	1.06	1.12	1.19	1.26	1.32	1.36	1.39
0.25	1.08	1.16	1.23	1.29	1.33	1.36	1.35
0.30	1.11	1.18	1.25	1.30	1.33	1.31	1.17