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Table 2 Matrix showing results from transformed divergence analysis for all pairwise combinations, testing the overlap between the graph models for three metric combinations

From: The structure and behaviour of hierarchical infrastructure networks

 

ER

GNM

WS

BA

HR

HR+

HC

TREE

ER

        

AC –MBC

–

99.91

84.78

99.58

100.00

100.00

100.00

100.00

AC-CB

–

53.22

70.14

27.90

100.00

100.00

100.00

–*

MBC-CB

–

99.96

75.43

72.62

100.00

100.00

100.00

–*

GNM

        

AC –MBC

–

–

100.00

100.00

100.00

100.00

100.00

100.00

AC-CB

–

–

95.81

98.99

100.00

100.00

100.00

–*

MBC-CB

–

–

100.00

100.00

100.00

100.00

100.00

–*

WS

        

AC –MBC

–

–

–

14.13

97.79

99.55

99.99

100.00

AC-CB

–

–

–

43.86

100.00

100.00

100.00

–*

MBC-CB

–

–

–

43.98

100.00

100.00

100.00

–*

BA

        

AC –MBC

–

–

–

–

75.24

83.36

99.81

99.90

AC-CB

–

–

–

–

100.00

100.00

100.00

–*

MBC-CB

–

–

–

–

100.00

100.00

100.00

–*

HR

        

AC –MBC

–

–

–

–

–

39.84†

98.85

90.23

AC-CB

–

–

–

–

–

27.34†

99.37

–*

MBC-CB

–

–

–

–

–

6.53†

99.76

–*

HR+

        

AC –MBC

–

–

–

–

–

–

99.99

94.71

AC-CB

–

–

–

–

–

–

100.00

–*

MBC-CB

–

–

–

–

–

–

99.72

–*

HC

        

AC –MBC

–

–

–

–

–

–

–

100.00

AC-CB

–

–

–

–

–

–

–

–*

MBC-CB

–

–

–

–

–

–

–

–*

  1. Results in the top-right quadrant show the results comparing hierarchical to non-hierarchical networks. A value of 100 indicates no overlap between the distributions, 0 indicates the distributions are identical. *Values cannot be computed as TREES have zero cycle basis resulting in invalid matrices