(1990). Ties and Bonds. Connections, 13 (3) - INSNA

19
Table 5
Correlation Coefficients among
Graph Centrality Measures
n=6 n=7 n=8
r(CD,CB) 0 .672 0 .608 0 .578
r(CB,CC) 0 .702 0 .680 0 .636
r(CD,CC) 0 .942 0 .923 0 .934
Table 6
Comparison of Centrality Values
(Proportion of # of graphs over
all possible graphs)
n= 4 n= 5 n= 6 n= 7
CD=CB=CC 0 .211 0 .066 0 .006 .000
CB=CC>CD 0 .000 0 .077 0 .027 0 .017
CB=CD>CC 0 .000 0 .000 0 .023 0 .006
CC=CD>CB 0 .000 0 .000 0 .034 0 .046
CD>CB=CC 0 .000 0 .000 0 .000 0 .009
CC>CB=CD 0 .316 0 .090 0 .018 0 .021
CB>CC=CD 0 .000 0 .000 0 .000 0 .002
CB>CC>CD 0 .316 0 .249 0 .214 0 .127
CB>CD>CC 0 .000 0 .000 0 .012 0 .010
CD>CB>CC 0 .000 0 .000 0 .007 0 .011
CD>CC>CB 0 .000 0 .097 0 .090 0 .064
CC>CB >CD 0 .000 0 .083 0 .092 0 .083
CC>CD>CB 0 .158 0 .338 0 .478 0 .603
Table 7
Upper-bounds and Lower-bounds
for given Cg
of
CD and CC
CB
CD
Lowerbound
Upperbound
CC
Lowerbound
Upperbound
0 .00 - 0 .09 0 .00 0 .40 0 .00 0 .54
0 .10 - 0 .19 0 .10 0 .40 0 .08 0 .54
0 .20 - 0 .29 0 .20 0 .50 0 .19 0 .63
0 .30 - 0 .39 0 .10 0 .60 0 .20 0 .71
0 .40 - 0 .49 0 .20 0 .60 0 .33 0 .72
0 .50 - 0 .59 0 .30 0 .70 0 .36 0 .79
0 .60 - 0 .69 0 .40 0 .70 0 .56 0 .80
0 .70 - 0 .79 0 .60 0 .80 0 .68 0 .87
0 .80 - 0 .89 0 .70 0 .80 0 .73 0 .88
0 .90 - 1 .00 0 .90 0 .90 0 .94 0 .94
Falll Winter, 1990
Connections